Quizbank/College Physics Sem 1/All

College Physics Sem 1all/All ID153514629028

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Exams:  A0  A1   B0  B1   C0  C1   D0  D1  

Answers:   A0  A1   B0  B1   C0  C1   D0  D1  

8 Tests = 2 versions x 4 variations: Each of the 4 variations (A, B, ...) represents a different random selection of questions taken from the study guide.The 2 versions (0,1,..) all have the same questions but in different order and with different numerical inputs. Unless all students take version "0" it is best to reserve it for the instructor because the questions are grouped according to the order in which they appear on the study guide.

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All A0

1) A car traveling at 38.1 miles/hour stops in 2.1 seconds. What is the average acceleration?

a) 4.56 x 10⁰ m/s²

b) 8.11 x 10⁰ m/s²

c) 1.44 x 10¹ m/s²

d) 2.56 x 10¹ m/s²

e) 4.56 x 10¹ m/s²

2) A car completes a complete circle of radius 2.2 miles at a speed of 63.6 miles per hour. How many minutes does it take?

a) 9.78 x 10⁰ minutes

b) 1.3 x 10¹ minutes

c) 1.74 x 10¹ minutes

d) 2.32 x 10¹ minutes

e) 3.09 x 10¹ minutes

3) A car traveling at 29.4 mph increases its speed to 32.7 mph in 5.3 seconds. What is the average acceleration?

a) 8.8 x 10^-2 m/s²

b) 1.57 x 10^-1 m/s²

c) 2.78 x 10^-1 m/s²

d) 4.95 x 10^-1 m/s²

e) 8.8 x 10^-1 m/s²

4) Mr. Smith is backing his car at a speed of 3.12 mph when he hits a cornfield (seed corn). In the course of 2.39 seconds he stops, puts his car in forward drive, and exits the field at a speed of 6.32 mph. What was the magnitude ( absolute value) of his acceleration?

a) 3.95 x 10⁰ miles per hour per second

b) 4.97 x 10⁰ miles per hour per second

c) 6.26 x 10⁰ miles per hour per second

d) 7.88 x 10⁰ miles per hour per second

e) 9.92 x 10⁰ miles per hour per second

5) A car is accelerating uniformly at an acceleration of 2.6m/s/s. At x = 5.5m, the speed is 3.2m/s. How fast is it moving at x = 13.25 m?

a) 7.11 m/s.

b) 8.53 m/s.

c) 10.24 m/s.

d) 12.28 m/s.

e) 14.74 m/s.

6) What is the acceleration if a car travelling at 8.45 m/s makes a skid mark that is 8.5 m long before coming to rest? (Assume uniform acceleration.)

a) 2.43m/s².

b) 2.92m/s².

c) 3.5m/s².

d) 4.2m/s².

e) 5.04m/s².

7) A train accelerates uniformly from 15.75 m/s to 30.375 m/s, while travelling a distance of 357 m. What is the 'average' acceleration?

a) 0.55m/s/s.

b) 0.66m/s/s.

c) 0.79m/s/s.

d) 0.94m/s/s.

e) 1.13m/s/s.

8) A particle accelerates uniformly at 13 m/s/s. How long does it take for the velocity to increase from 1024 m/s to 1888 m/s?

a) 46.15 s

b) 55.38 s

c) 66.46 s

d) 79.75 s

e) 95.7 s

9) Mr. Smith starts from rest and accelerates to 4 m/s in 3 seconds. How far did he travel?

a) 6.0 meters

b) 4.0 meters

c) 7.0 meters

d) 5.0 meters

e) 3.0 meters

10) Mr. Smith starts from rest and accelerates to 4 m/s in 5 seconds. How far did he travel?

a) 7.0 meters

b) 8.0 meters

c) 10.0 meters

d) 11.0 meters

e) 9.0 meters

11) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

a) 8.0 meters

b) 10.0 meters

c) 11.0 meters

d) 12.0 meters

e) 9.0 meters

12) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 2 seconds. He then travels at this speed for an additional 1 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

a) 8.0 meters

b) 5.0 meters

c) 7.0 meters

d) 9.0 meters

e) 6.0 meters

13) Mr. Smith is driving at a speed of 4 m/s, when he slows down to a speed of 1 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

a) 7.0 meters

b) 9.0 meters

c) 8.0 meters

d) 10.0 meters

e) 11.0 meters

14) Mr. Smith starts at rest and accelerates to a speed of 4 m/s, in 2 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

a) 20.0 meters

b) 22.0 meters

c) 23.0 meters

d) 21.0 meters

e) 19.0 meters

15) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

a) 4.0 meters

b) 7.0 meters

c) 6.0 meters

d) 3.0 meters

e) 5.0 meters

16) Mr. Smith is driving at a speed of 5 m/s, when he slows down to a speed of 4 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

a) 8.0 meters

b) 12.0 meters

c) 9.0 meters

d) 11.0 meters

e) 10.0 meters

17) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 6 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 4 seconds to come to rest. How far did he travel?

a) 17.0 meters

b) 16.0 meters

c) 19.0 meters

d) 20.0 meters

e) 18.0 meters

18) Mr. Smith starts from rest and accelerates to 3 m/s in 2 seconds. How far did he travel?

a) 2.0 meters

b) 4.0 meters

c) 5.0 meters

d) 1.0 meters

e) 3.0 meters

19) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

a) 24.0 meters

b) 25.0 meters

c) 23.0 meters

d) 27.0 meters

e) 26.0 meters

20) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 6 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 4 seconds to come to rest. How far did he travel?

a) 16.0 meters

b) 14.0 meters

c) 17.0 meters

d) 13.0 meters

e) 15.0 meters

21) A ball is kicked horizontally from a height of 3 m, at a speed of 10m/s. How far does it travel before landing?

a) 6.52 m.

b) 7.82 m.

c) 9.39 m.

d) 11.27 m.

e) 13.52 m.

22) A particle is initially at the origin and moving in the x direction at a speed of 4.1 m/s. It has an constant acceleration of 1.5 m/s² in the y direction, as well as an acceleration of 0.7 in the x direction. What angle does the velocity make with the x axis at time t = 2.2 s?

a) 17.34 degrees.

b) 19.94 degrees.

c) 22.94 degrees.

d) 26.38 degrees.

e) 30.33 degrees.

23) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 5.94 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.92 m, and moves at a constant speed of 2.89 m/s in the +y direction. At what time do they meet?

a) 0.33 s.

b) 0.39 s.

c) 0.47 s.

d) 0.56 s.

e) 0.68 s.

24) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 8.02 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.27 m, and moves at a constant speed of 2.5 m/s in the +y direction. What is the value of θ (in radians)?

a) 0.18 radians.

b) 0.21 radians.

c) 0.24 radians.

d) 0.28 radians.

e) 0.32 radians.

25) The Smith family is having fun on a high speed train travelling at 42.3 m/s. Mr. Smith is at the back of the train and fires a pellet gun with a muzzle speed of 25.2 m/s at Mrs. Smith who is at the front of the train. What is the speed of the bullet with respect to Earth?

a) 30 m/s.

b) 45 m/s.

c) 67.5 m/s.

d) 101.3 m/s.

e) 151.9 m/s.

26) The Smith family is having fun on a high speed train travelling at 47.5 m/s. Mrs. Smith, who is at the front of the train, fires straight towards the back with a bullet that is going forward with respect to Earth at a speed of 25.5 m/s. What was the muzzle speed of her bullet?

a) 9.8 m/s.

b) 14.7 m/s.

c) 22 m/s.

d) 33 m/s.

e) 49.5 m/s.

27) The Smith family is having fun on a high speed train travelling at 47.6 m/s. The daugher fires at Mr. Smith with a pellet gun whose muzzle speed is 23.8 m/s. She was situated across the isle, perpendicular to the length of the train. What is the speed of her bullet with respect to Earth?

a) 10.5 m/s.

b) 15.8 m/s.

c) 23.7 m/s.

d) 35.5 m/s.

e) 53.2 m/s.

28) The Smith family got in trouble for having fun on a high speed train travelling at 47.6 m/s. Mr. Smith is charged with having fired a pellet gun at his daughter (directly across the isle) with a bullet that had a speed of 88.1 m/s with respect to Earth. How fast was the bullet going relative to the daughter (i.e. train)?

a) 35.8 m/s.

b) 42.9 m/s.

c) 51.5 m/s.

d) 61.8 m/s.

e) 74.1 m/s.

29) When a table cloth is quickly pulled out from under dishes, they hardly move. This is because

a) objects don't begin to accelerate until after the force has been applied

b) the cloth is more slippery when it is pulled quickly

c) the cloth is accelerating for such a brief time that there is little motion

30) If you toss a coin into the air, the acceleration while it as its highest point is

a) up

b) down

c) zero

31) If you toss a coin into the air, the velocity on the way up is

a) up

b) zero

c) down

32) If you toss a coin into the air, the velocity on the way down is

a) down

b) up

c) zero

33) If you toss a coin into the air, the velocity while it as its highest point is

a) down

b) zero

c) up

34) A car is headed due north and increasing its speed. It is also turning left because it is also traveling in a perfect circle. The acceleration vector points

a) south

b) southwest

c) northeast

d) north

e) northwest

35) A car is headed due north and increasing its speed. It is also turning right because it is also traveling in a perfect circle. The acceleration vector points

a) northwest

b) northeast

c) southwest

d) south

e) north

36) A car is headed due north and increasing its speed. It is also turning left because it is also traveling in a perfect circle. The velocity vector points

a) northeast

b) northeast

c) north

d) southeast

e) northwest

37) A car is headed due north and increasing its speed. It is also turning right because it is also traveling in a perfect circle. The velocity vector points

a) northeast

b) south

c) northwest

d) north

e) southwest

38) A car is headed due north and decreasing its speed. It is also turning left because it is also traveling in a perfect circle. The acceleration vector points

a) south

b) northwest

c) southwest

d) southeast

e) west

39) A car is headed due north and decreasing its speed. It is also turning right because it is also traveling in a perfect circle. The acceleration vector points

a) southeast

b) north

c) northwest

d) northeast

e) south

40) A car is traveling west and slowing down. The acceleration is

a) to the east

b) zero

c) to the west

41) A car is traveling east and slowing down. The acceleration is

a) to the east

b) zero

c) to the west

42) A car is traveling east and speeding up. The acceleration is

a) zero

b) to the east

c) to the west

43) If you toss a coin into the air, the acceleration on the way up is

a) down

b) zero

c) up

44) A car is traveling in a perfect circle at constant speed. If the car is headed north while turning west, the acceleration is

a) south

b) north

c) west

d) zero

e) east

45) A car is traveling in a perfect circle at constant speed. If the car is headed north while turning east, the acceleration is

a) west

b) east

c) zero

d) south

e) north

46) As the Moon circles Earth, the acceleration of the Moon is

a) away from Earth

b) opposite the direction of the Moon's velocity

c) in the same direction as the Moon's velocity

d) zero

e) towards Earth

47) If you toss a coin into the air, the acceleration on the way down is

a) up

b) zero

c) down

48) A mass with weight (mg) of 48 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 46 degrees. What is the tension in the string?

a) 22.7 N.

b) 26.1 N.

c) 30 N.

d) 34.5 N.

e) 39.7 N.

49) A mass with weight (mg) equal to 34 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 14 degrees with respect to the horizontal. What is the tension in each string?

a) 61.1 N.

b) 70.3 N.

c) 80.8 N.

d) 92.9 N.

e) 106.9 N.

50) A 3 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.27 . In addition to the surface friction, there is also an air drag equal to 7 N. What is the magnitude (absolute value) of the acceleration?

a) 3.8 m/s².

b) 4.3 m/s².

c) 5 m/s².

d) 5.7 m/s².

e) 6.6 m/s².

51) A mass with weight (mg) 7.9 newtons is on a horzontal surface. It is being pulled on by a string at an angle of 30 degrees above the horizontal, with a force equal to 1.64 newtons. If this is the maximum force before the block starts to move, what is the static coefficient of friction?

a) 0.1

b) 0.12

c) 0.14

d) 0.17

e) 0.2

52) A sled of mass 5.9 kg is at rest on a rough surface. A string pulls with a tension of 43.6N at an angle of 38 degress above the horizontal. What is the magnitude of the friction?

a) 19.64 N.

b) 22.59 N.

c) 25.98 N.

d) 29.88 N.

e) 34.36 N.

53) A sled of mass 5.5 kg is at rest on a rough surface. A string pulls with a tension of 41.3N at an angle of 34 degress above the horizontal. What is the normal force?

a) 26.79 N.

b) 30.81 N.

c) 35.43 N.

d) 40.74 N.

e) 46.85 N.

54) A sled of mass 5.7 kg is at rest on a perfectly smooth surface. A string pulls with a tension of 41.7N at an angle of 55 degress above the horizontal. How long will it take to reach a speed of 10.5 m/s?

a) 1.89 s

b) 2.18 s

c) 2.5 s

d) 2.88 s

e) 3.31 s

55) A sled of mass 2.6 kg is on perfectly smooth surface. A string pulls with a tension of 19.2N. At what angle above the horizontal must the string pull in order to achieve an accelerations of 2.4 m/s²?

a) 53.7 degrees

b) 61.8 degrees

c) 71 degrees

d) 81.7 degrees

e) 93.9 degrees

56)

In the figure shown, θ₁ is 17 degrees, and θ₃ is 30 degrees. The tension T₃ is 46 N. What is the tension, T₁?

a) 36.22 N.

b) 41.66 N.

c) 47.91 N.

d) 55.09 N.

e) 63.36 N.

57) In the figure "3 tensions" shown above θ₁ is 20 degrees, and θ₃ is 29 degrees. The tension T₃ is 25 N. What is the weight?

a) 20.1 N.

b) 23.1 N.

c) 26.6 N.

d) 30.5 N.

e) 35.1 N.

58)

rilght

In the figure shown, θ is 32 degrees, and the mass is 2.8 kg. What is T₂?

a) 45.03 N.

b) 51.78 N.

c) 59.55 N.

d) 68.48 N.

e) 78.75 N.

59)

rilght

In the figure shown, θ is 33 degrees, and the mass is 2.7 kg. What is T₁?

a) 40.7 N.

b) 48.9 N.

c) 58.7 N.

d) 70.4 N.

e) 84.5 N.

60)

In the figure shown, θ₁ is 17 degrees , and θ₃ is 33 degrees . The mass has a 'weight' of 33 N. What is the tension, T₁?

a) 27.32 N.

b) 31.42 N.

c) 36.13 N.

d) 41.55 N.

e) 47.78 N.

61)

In the figure shown, the mass of m₁ is 5.4 kg, and the mass of m₂ is 3.9 kg. If the external force, F_ext on m₂ is 136 N, what is the tension in the connecting string? Assume no friction is present.

a) 79 N

b) 90.8 N

c) 104.4 N

d) 120.1 N

e) 138.1 N

62)

In the figure shown (with m₁ = 6.4 kg, m₂ = 3.7 kg, and F_ext = 135 N), what is the acceleration? Assume no friction is present.

a) 13.4 m/s²

b) 15.4 m/s²

c) 17.7 m/s²

d) 20.3 m/s²

e) 23.4 m/s²

63) Nine barefoot baseball players, with a total mass of 679 kg plays tug of war against five basketball players wearing shoes that provide a static coefficient of friction of 0.61 . The net mass of the (shoed) basketball team is 380 kg. What is the maximum coefficient of the barefoot boys if they lose?

a) 0.31

b) 0.341

c) 0.376

d) 0.413

e) 0.454

64) Without their shoes, members of a 9 person baseball team have a coefficient of static friction of only 0.23 . But the team wins a game of tug of war due to their superior mass of 607 kg. They are playing against a 5 person basketball team with a net mass of 429 kg. What is the maximum coefficient of static friction of the basketball team?

a) 0.269

b) 0.296

c) 0.325

d) 0.358

e) 0.394

65)

In the figure shown, the mass of m₁ is 6.5 kg, and the mass of m₂ is 2.9 kg. If the external force, F_ext on m₂ is 132 N, what is the tension in the connecting string? Assume that m₁ has a kinetic coefficient of friction equal to 0.37, and that for m₂ the coefficient is 0.48 .

a) 89.1 N

b) 102.5 N

c) 117.9 N

d) 135.5 N

e) 155.9 N

66) A merry-go-round has an angular frequency, $\omega$, equal to 0.192 rad/sec. How many minutes does it take to complete 8.5 revolutions?

a) 3.05 minutes.

b) 3.51 minutes.

c) 4.03 minutes.

d) 4.64 minutes.

e) 5.33 minutes.

67) A merry-go round has a period of 0.26 minutes. What is the centripetal force on a 53.3 kg person who is standing 1.35 meters from the center?

a) 7.7 newtons.

b) 8.8 newtons.

c) 10.2 newtons.

d) 11.7 newtons.

e) 13.4 newtons.

68) A merry-go round has a period of 0.38 minutes. What is the minimum coefficient of static friction that would allow a 64.8 kg person to stand1.76 meters from the center, without grabbing something?

a) 0.008

b) 0.009

c) 0.01

d) 0.012

e) 0.014

69) What is the gravitational acceleration on a plant that is 1.34 times more massive than Earth, and a radius that is 1.45 times greater than Earths?

a) 4.7 m/s²

b) 5.4 m/s²

c) 6.2 m/s²

d) 7.2 m/s²

e) 8.3 m/s²

70) What is the gravitational acceleration on a plant that is 1.47 times more dense than Earth, and a radius that is 1.42 times greater than Earth's?

a) 20.5 m/s²

b) 23.5 m/s²

c) 27.1 m/s²

d) 31.1 m/s²

e) 35.8 m/s²

71)

Is $dv/d\ell =v/r$ valid for uniform circular motion?

a) Yes

b) No

72)

Is $dv/r=d\ell /v$ valid for uniform circular motion?

a) Yes

b) No

73)

Is $rd\ell =vdv$ valid for uniform circular motion?

a) Yes

b) No

74)

Is $dv=|{\vec {v}}_{2}|-|{\vec {v}}_{1}|$ valid for uniform circular motion?

a) Yes

b) No

75)

Is $d\ell /dv=v/r$ valid for uniform circular motion?

a) Yes

b) No

76)

Is $dv/d\ell =r/v$ valid for uniform circular motion?

a) Yes

b) No

77)

Is $dv=|{\vec {v}}_{2}-{\vec {v}}_{1}|$ valid for uniform circular motion?

a) Yes

b) No

78)

Is $d\ell =vdt$ valid for uniform circular motion?

a) Yes

b) No

79)

Is $adt/v=vdt/r$ valid for uniform circular motion?

a) Yes

b) No

80)

Is $dv=adt$ valid for uniform circular motion?

a) Yes

b) No

81)

Is $|d{\vec {v}}|=adt$ valid for uniform circular motion?

a) Yes

b) No

82)

Is $d\ell =|{\vec {r}}_{2}-{\vec {r}}_{1}|$ valid for uniform circular motion?

a) Yes

b) No

83)

Is $d\ell =|{\vec {r}}_{2}|-|{\vec {r}}_{1}|$ valid for uniform circular motion?

a) Yes

b) No

84)

Is $v/d\ell =r/dv$ valid for uniform circular motion?

a) Yes

b) No

85) If the initial velocity after leaving the spring is 5.30 m/s, how high does it reach before coming to rest?

a) 1.24 m

b) 1.30 m

c) 1.36 m

d) 1.43 m

e) 1.50 m

86) The mass of the cart is 4.0kg, and the spring constant is 9395N/m. If the initial compression of the spring is 4.00m, how high does it reach before coming to rest?

a) 1.66E+03 m

b) 1.74E+03 m

c) 1.83E+03 m

d) 1.92E+03 m

e) 2.01E+03 m

87) What is the highest point the cart reaches if the speed was 2.4m/s, when the cart was situated at a height of 2.3m?,

a) 1.99 m

b) 2.09 m

c) 2.19 m

d) 2.30 m

e) 2.42 m

88) The spring constant is 525N/m, and the initial compression is 0.19m. What is the mass if the cart reaches a height of 1.17m, before coming to rest?

a) 0.714 kg

b) 0.750 kg

c) 0.787 kg

d) 0.826 kg

e) 0.868 kg

89) The cart has a mass of 38.00kg. It is moving at a speed of 2.10m/s, when it is at a height of 3.71m. If the spring constant was 540N/m, what was the initial compression?

a) 1.78 m

b) 1.90 m

c) 2.03 m

d) 2.18 m

e) 2.33 m

90) You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

a) 1.291 m/s

b) 1.368 m/s

c) 1.450 m/s

d) 1.537 m/s

e) 1.630 m/s

91) On object of mass 2.5 kg that is moving at a velocity of 23m/s collides with a stationary object of mass 17.94 kg. What is the final velocity if they stick? (Assume no external friction.)

a) 1.95m/s.

b) 2.34m/s.

c) 2.81m/s.

d) 3.38m/s.

e) 4.05m/s.

92) A car of mass 863 kg is driving on an icy road at a speed of 25 m/s, when it collides with a stationary truck. After the collision they stick and move at a speed of 5.7 m/s. What was the mass of the truck?

a) 2435 kg

b) 2922 kg

c) 3507 kg

d) 4208 kg

e) 5049 kg

93)

A 161 gm bullet strikes a ballistic pendulum of mass 2.1 kg (before the bullet struck). After impact, the pendulum rises by 65 cm. What was the speed of the bullet?

a) 44 m/s.

b) 47 m/s.

c) 50 m/s.

d) 54 m/s.

e) 57 m/s.

94)

A massless bar of length, S = 9.6m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 29.9 degrees above the horizontal. An object of mass, M = 8.6kg is suspended at a length, L = 5m from the wall. What is the tension, T, in the string?

a) 8.81E+01 N

b) 1.11E+02 N

c) 1.40E+02 N

d) 1.76E+02 N

e) 2.21E+02 N

95)

In the figure shown, L₁ = 5.3m, L₂ = 3.3m and L₃ = 8.7m. What is F₁ if F₂ =8.7N and F₃ =6N?

a) 7.09E+00 N

b) 8.58E+00 N

c) 1.04E+01 N

d) 1.26E+01 N

e) 1.53E+01 N

96)

A massless bar of length, S = 8m is attached to a wall by a frictionless hinge (shown as a circle). The bar is held horizontal by a string that makes and angle θ = 35.4 degrees above the horizontal. An object of mass, M = 8.3kg is suspended at a length, L = 5m from the wall. What is the x (horizontal) component of the force exerted by the wall on the horizontal bar?

a) 7.15E+01 N

b) 8.67E+01 N

c) 1.05E+02 N

d) 1.27E+02 N

e) 1.54E+02 N

97)

In the figure shown, L₁ = 6.8m, L₂ = 4.8m and L₃ = 8.7m. What is F₂ if F₁ =0.89N and F₃ =0.1N?

a) 8.91E-01 N

b) 1.08E+00 N

c) 1.31E+00 N

d) 1.58E+00 N

e) 1.92E+00 N

98)

A massless bar of length, S = 9.8m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 36.7 degrees above the horizontal. An object of mass, M = 4.7kg is suspended at a length, L =4.4m from the wall. What is the y (vertical) component of the force exerted by the wall on the horizontal bar?

a) 1.18E+01 N

b) 1.43E+01 N

c) 1.73E+01 N

d) 2.09E+01 N

e) 2.54E+01 N

99) A car with a tire radius of 0.24 m accelerates from 0 to 33 m/s in 8.5 seconds. What is the angular acceleration of the wheel?

a) 1.34 x 10¹ m

b) 1.62 x 10¹ m

c) 1.96 x 10¹ m

d) 2.37 x 10¹ m

e) 2.88 x 10¹ m

100) A lead filled bicycle wheel of radius 0.58 m and mass 2.8 kg is rotating at a frequency of 1.8 revolutions per second. What is the moment of inertia?

a) 9.42 x 10^-1 kg m²/s²

b) 1.14 x 10⁰ kg m²/s²

c) 1.38 x 10⁰ kg m²/s²

d) 1.67 x 10⁰ kg m²/s²

e) 2.03 x 10⁰ kg m²/s²

101) A lead filled bicycle wheel of radius 0.33 m and mass 2.2 kg is rotating at a frequency of 1.3 revolutions per second. What is the total kinetic if the wheel is rotating about a stationary axis?

a) 6.6 x 10⁰ J

b) 7.99 x 10⁰ J

c) 9.68 x 10⁰ J

d) 1.17 x 10¹ J

e) 1.42 x 10¹ J

102)

The moment of inertia of a solid disk of mass, M, and radius, R, is ½ MR². Two identical disks, each with mass 3.6 kg are attached. The larger disk has a diameter of 0.71 m, and the smaller disk has a diameter of 0.32 m. If a force of 13 N is applied at the rim of the smaller disk, what is the angular acceleration?

a) 5.19 x 10⁰ s^-2

b) 6.29 x 10⁰ s^-2

c) 7.62 x 10⁰ s^-2

d) 9.23 x 10⁰ s^-2

e) 1.12 x 10¹ s^-2

103) A cylinder with a radius of 0.33 m and a length of 2.9 m is held so that the top circular face is 4.1 m below the water. The mass of the block is 912.0 kg. The mass density of water is 1000kg/m^3. What is the pressure at the top face of the cylinder?

a) 2.26E4 Pa

b) 2.74E4 Pa

c) 3.32E4 Pa

d) 4.02E4 Pa

e) 4.87E4 Pa

104) A cylinder with a radius of 0.29 m and a length of 2.8 m is held so that the top circular face is 4.6 m below the water. The mass of the block is 952.0 kg. The mass density of water is 1000kg/m^3. What is the buoyant force?

a) 4.94E3 N

b) 5.98E3 N

c) 7.25E3 N

d) 8.78E3 N

e) 1.06E4 N

105) A cylinder with a radius of 0.38 m and a length of 2.2 m is held so that the top circular face is 3.8 m below the water. The mass of the block is 903.0 kg. The mass density of water is 1000kg/m^3. What is the force exerted by the water at the top surface?

a) 1.07E4 N

b) 1.34E4 N

c) 1.69E4 N

d) 2.13E4 N

e) 2.68E4 N

106) A cylinder with a radius of 0.29 m and a length of 2.8 m is held so that the top circular face is 4.6 m below the water. The mass of the block is 952.0 kg. The mass density of water is 1000kg/m^3. What is the force exerted by the fluid on the bottom of the cylinder?

a) 1.52E4 Pa

b) 1.92E4 Pa

c) 2.41E4 Pa

d) 3.04E4 Pa

e) 3.82E4 Pa

107) A 6.4 cm diameter pipe can fill a 1.8 m^3 volume in 8.0 minutes. Before exiting the pipe, the diameter is reduced to 3.7 cm (with no loss of flow rate). What is the speed in the first (wider) pipe?

a) 7.94E-1 m/s

b) 9.62E-1 m/s

c) 1.17E0 m/s

d) 1.41E0 m/s

e) 1.71E0 m/s

108) A 9.4 cm diameter pipe can fill a 1.5 m^3 volume in 7.0 minutes. Before exiting the pipe, the diameter is reduced to 1.7 cm (with no loss of flow rate). What is the pressure difference (in Pascals) between the two regions of the pipe?

a) 1.24E5

b) 1.50E5

c) 1.82E5

d) 2.20E5

e) 2.66E5

109) A 9.2 cm diameter pipe can fill a 1.6 m^3 volume in 8.0 minutes. Before exiting the pipe, the diameter is reduced to 4.0 cm (with no loss of flow rate). If two fluid elements at the center of the pipe are separated by 34.0 mm when they are both in the wide pipe, and we neglect turbulence, what is the separation when both are in the narrow pipe?

a) 1.23E2 mm

b) 1.48E2 mm

c) 1.80E2 mm

d) 2.18E2 mm

e) 2.64E2 mm

110) A large cylinder is filled with water so that the bottom is 8.8 m below the waterline. At the bottom is a small hole with a diameter of 6.3E-4 m. How fast is the water flowing at the hole? (Neglect viscous effects, turbulence, and also assume that the hole is so small that no significant motion occurs at the top of the cylinder.)

a) 1.08E1 m/s

b) 1.31E1 m/s

c) 1.59E1 m/s

d) 1.93E1 m/s

e) 2.34E1 m/s

111) What is the root-mean-square of -20, 40, and -32?

a) 2.522 x 10¹

b) 2.83 x 10¹

c) 3.175 x 10¹

d) 3.562 x 10¹

e) 3.997 x 10¹

112) What is the rms speed of a molecule with an atomic mass of 18 if the temperature is 113 degrees Fahrenheit?

a) 3.08 x 10² m/s

b) 3.73 x 10² m/s

c) 4.52 x 10² m/s

d) 5.48 x 10² m/s

e) 6.64 x 10² m/s

113) If a molecule with atomic mass equal to 2 amu has a speed of 305 m/s, what is the speed at an atom in the same atmosphere of a molecule with an atomic mass of 29 ?

a) 8.01 x 10¹ m/s

b) 9.7 x 10¹ m/s

c) 1.18 x 10² m/s

d) 1.42 x 10² m/s

e) 1.73 x 10² m/s

114) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.99 kg is filled with 0.26 kg of water. How much heat does it take to raise both from 54.4 C to 78.1 C?

a) 2.43 x 10⁴ J

b) 2.86 x 10⁴ J

c) 3.38 x 10⁴ J

d) 3.98 x 10⁴ J

e) 4.69 x 10⁴ J

115) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.82 kg is filled with 0.11 kg of water. What fraction of the heat went into the aluminum?

a) 3.8 x 10^-1

b) 4.4 x 10^-1

c) 5.2 x 10^-1

d) 6.2 x 10^-1

e) 7.3 x 10^-1

116) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.82 kg is filled with 0.11 kg of water. You are consulting for the flat earth society, a group of people who believe that the acceleration of gravity equals 9.8 m/s/s at all altitudes. Based on this assumption, from what height must the water and container be dropped to achieve the same change in temperature? (For comparison, Earth's radius is 6,371 kilometers)

a) 4.68 x 10⁰ km

b) 5.67 x 10⁰ km

c) 6.87 x 10⁰ km

d) 8.32 x 10⁰ km

e) 1.01 x 10¹ km

117) A window is square, with a length of each side equal to 0.78 meters. The glass has a thickness of 11 mm. To decrease the heat loss, you reduce the size of the window by decreasing the length of each side by a factor of 1.31. You also increase the thickness of the glass by a factor of 2.97. If the inside and outside temperatures are unchanged, by what factor have you decreased the heat flow?. By what factor have you decreased the heat flow (assuming the same inside and outside temperatures).

a) 2.37 x 10⁰ unit

b) 2.87 x 10⁰ unit

c) 3.47 x 10⁰ unit

d) 4.21 x 10⁰ unit

e) 5.1 x 10⁰ unit

118)

A 1241 heat cycle uses 1.6 moles of an ideal gas. The pressures and volumes are: P₁= 1.9 kPa, P₂= 3.6 kPa. The volumes are V₁= 1.6m³ and V₄= 3.3m³. How much work is done in in one cycle?

a) 4.57 x 10¹ J

b) 1.45 x 10² J

c) 4.57 x 10² J

d) 1.45 x 10³ J

e) 4.57 x 10³ J

119)

A 1241 heat cycle uses 2 moles of an ideal gas. The pressures and volumes are: P₁= 1.5 kPa, P₂= 2.7 kPa. The volumes are V₁= 1.9m³ and V₄= 3.3m³. How much work is involved between 1 and 4?

a) 6.64 x 10² J

b) 2.1 x 10³ J

c) 6.64 x 10³ J

d) 2.1 x 10⁴ J

e) 6.64 x 10⁴ J

120)

A 1241 heat cycle uses 2.5 moles of an ideal gas. The pressures and volumes are: P₁= 1.7 kPa, P₂= 4.5 kPa. The volumes are V₁= 1.6m³ and V₄= 2.7m³. How much work is involved between 2 and 4?

a) 1.08 x 10³ J

b) 3.41 x 10³ J

c) 1.08 x 10⁴ J

d) 3.41 x 10⁴ J

e) 1.08 x 10⁵ J

121)

A 1241 heat cycle uses 1.3 moles of an ideal gas. The pressures and volumes are: P₁= 1.6 kPa, P₂= 4.3 kPa. The volumes are V₁= 2.9m³ and V₄= 5.8m³. What is the temperature at step 4?

a) 8.59 x 10⁰ K

b) 2.71 x 10¹ K

c) 8.59 x 10¹ K

d) 2.71 x 10² K

e) 8.59 x 10² K

All A1

1) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

a) 4.0 meters

b) 6.0 meters

c) 7.0 meters

d) 5.0 meters

e) 3.0 meters

2) If you toss a coin into the air, the velocity on the way up is

a) up

b) down

c) zero

3)

Is $d\ell /dv=v/r$ valid for uniform circular motion?

a) Yes

b) No

4) On object of mass 2.5 kg that is moving at a velocity of 23m/s collides with a stationary object of mass 17.94 kg. What is the final velocity if they stick? (Assume no external friction.)

a) 1.95m/s.

b) 2.34m/s.

c) 2.81m/s.

d) 3.38m/s.

e) 4.05m/s.

5) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 2 seconds. He then travels at this speed for an additional 1 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

a) 5.0 meters

b) 8.0 meters

c) 9.0 meters

d) 7.0 meters

e) 6.0 meters

6) A cylinder with a radius of 0.24 m and a length of 3.8 m is held so that the top circular face is 3.5 m below the water. The mass of the block is 853.0 kg. The mass density of water is 1000kg/m^3. What is the pressure at the top face of the cylinder?

a) 2.83E4 Pa

b) 3.43E4 Pa

c) 4.16E4 Pa

d) 5.03E4 Pa

e) 6.10E4 Pa

7)

rilght

In the figure shown, θ is 37 degrees, and the mass is 2.5 kg. What is T₁?

a) 32.5 N.

b) 39 N.

c) 46.8 N.

d) 56.2 N.

e) 67.4 N.

8)

Is $dv=|{\vec {v}}_{2}-{\vec {v}}_{1}|$ valid for uniform circular motion?

a) Yes

b) No

9)

Is $d\ell =|{\vec {r}}_{2}-{\vec {r}}_{1}|$ valid for uniform circular motion?

a) Yes

b) No

10) A car traveling at 33.2 mph increases its speed to 35.8 mph in 4.9 seconds. What is the average acceleration?

a) 1.33 x 10^-1 m/s²

b) 2.37 x 10^-1 m/s²

c) 4.22 x 10^-1 m/s²

d) 7.5 x 10^-1 m/s²

e) 1.33 x 10⁰ m/s²

11) The Smith family is having fun on a high speed train travelling at 48.4 m/s. Mr. Smith is at the back of the train and fires a pellet gun with a muzzle speed of 20.7 m/s at Mrs. Smith who is at the front of the train. What is the speed of the bullet with respect to Earth?

a) 20.5 m/s.

b) 30.7 m/s.

c) 46.1 m/s.

d) 69.1 m/s.

e) 103.7 m/s.

12)

A 1241 heat cycle uses 1.1 moles of an ideal gas. The pressures and volumes are: P₁= 2 kPa, P₂= 4.1 kPa. The volumes are V₁= 2.1m³ and V₄= 4.3m³. How much work is done in in one cycle?

a) 7.3 x 10² J

b) 2.31 x 10³ J

c) 7.3 x 10³ J

d) 2.31 x 10⁴ J

e) 7.3 x 10⁴ J

13)

In the figure shown, L₁ = 6.9m, L₂ = 4.3m and L₃ = 8m. What is F₁ if F₂ =8.4N and F₃ =5.2N?

a) 7.67E+00 N

b) 9.30E+00 N

c) 1.13E+01 N

d) 1.36E+01 N

e) 1.65E+01 N

14) Mr. Smith is driving at a speed of 4 m/s, when he slows down to a speed of 1 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

a) 8.0 meters

b) 9.0 meters

c) 10.0 meters

d) 7.0 meters

e) 11.0 meters

15)

Is $d\ell =|{\vec {r}}_{2}|-|{\vec {r}}_{1}|$ valid for uniform circular motion?

a) Yes

b) No

16)

A 1241 heat cycle uses 2.5 moles of an ideal gas. The pressures and volumes are: P₁= 1.7 kPa, P₂= 4.5 kPa. The volumes are V₁= 1.6m³ and V₄= 2.7m³. How much work is involved between 2 and 4?

a) 1.08 x 10³ J

b) 3.41 x 10³ J

c) 1.08 x 10⁴ J

d) 3.41 x 10⁴ J

e) 1.08 x 10⁵ J

17) A car is accelerating uniformly at an acceleration of 3.6m/s/s. At x = 6m, the speed is 3.7m/s. How fast is it moving at x = 11.5 m?

a) 6.08 m/s.

b) 7.3 m/s.

c) 8.76 m/s.

d) 10.51 m/s.

e) 12.61 m/s.

18) A train accelerates uniformly from 12.75 m/s to 33.125 m/s, while travelling a distance of 272 m. What is the 'average' acceleration?

a) 0.99m/s/s.

b) 1.19m/s/s.

c) 1.43m/s/s.

d) 1.72m/s/s.

e) 2.06m/s/s.

19) Mr. Smith is backing his car at a speed of 3.57 mph when he hits a cornfield (seed corn). In the course of 2.8 seconds he stops, puts his car in forward drive, and exits the field at a speed of 6.75 mph. What was the magnitude ( absolute value) of his acceleration?

a) 1.85 x 10⁰ miles per hour per second

b) 2.33 x 10⁰ miles per hour per second

c) 2.93 x 10⁰ miles per hour per second

d) 3.69 x 10⁰ miles per hour per second

e) 4.64 x 10⁰ miles per hour per second

20) A sled of mass 5.8 kg is at rest on a rough surface. A string pulls with a tension of 42.5N at an angle of 51 degress above the horizontal. What is the normal force?

a) 13.61 N.

b) 15.66 N.

c) 18 N.

d) 20.71 N.

e) 23.81 N.

21) A 9.4 cm diameter pipe can fill a 1.5 m^3 volume in 7.0 minutes. Before exiting the pipe, the diameter is reduced to 1.7 cm (with no loss of flow rate). If two fluid elements at the center of the pipe are separated by 37.0 mm when they are both in the wide pipe, and we neglect turbulence, what is the separation when both are in the narrow pipe?

a) 9.34E2 mm

b) 1.13E3 mm

c) 1.37E3 mm

d) 1.66E3 mm

e) 2.01E3 mm

22) Nine barefoot baseball players, with a total mass of 616 kg plays tug of war against five basketball players wearing shoes that provide a static coefficient of friction of 0.71 . The net mass of the (shoed) basketball team is 388 kg. What is the maximum coefficient of the barefoot boys if they lose?

a) 0.447

b) 0.492

c) 0.541

d) 0.595

e) 0.655

23) The Smith family got in trouble for having fun on a high speed train travelling at 47.6 m/s. Mr. Smith is charged with having fired a pellet gun at his daughter (directly across the isle) with a bullet that had a speed of 88.1 m/s with respect to Earth. How fast was the bullet going relative to the daughter (i.e. train)?

a) 35.8 m/s.

b) 42.9 m/s.

c) 51.5 m/s.

d) 61.8 m/s.

e) 74.1 m/s.

24)

Is $|d{\vec {v}}|=adt$ valid for uniform circular motion?

a) Yes

b) No

25) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.82 kg is filled with 0.11 kg of water. You are consulting for the flat earth society, a group of people who believe that the acceleration of gravity equals 9.8 m/s/s at all altitudes. Based on this assumption, from what height must the water and container be dropped to achieve the same change in temperature? (For comparison, Earth's radius is 6,371 kilometers)

a) 4.68 x 10⁰ km

b) 5.67 x 10⁰ km

c) 6.87 x 10⁰ km

d) 8.32 x 10⁰ km

e) 1.01 x 10¹ km

26) A particle accelerates uniformly at 10.75 m/s/s. How long does it take for the velocity to increase from 1184 m/s to 2001 m/s?

a) 43.98 s

b) 52.78 s

c) 63.33 s

d) 76 s

e) 91.2 s

27) A 2.4 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.68 . In addition to the surface friction, there is also an air drag equal to 6 N. What is the magnitude (absolute value) of the acceleration?

a) 9.2 m/s².

b) 10.5 m/s².

c) 12.1 m/s².

d) 13.9 m/s².

e) 16 m/s².

28) A mass with weight (mg) of 39 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 56 degrees. What is the tension in the string?

a) 22.1 N.

b) 25.4 N.

c) 29.2 N.

d) 33.6 N.

e) 38.6 N.

29) What is the rms speed of a molecule with an atomic mass of 18 if the temperature is 12 degrees Fahrenheit?

a) 2.8 x 10² m/s

b) 3.39 x 10² m/s

c) 4.11 x 10² m/s

d) 4.97 x 10² m/s

e) 6.03 x 10² m/s

30) Mr. Smith is driving at a speed of 5 m/s, when he slows down to a speed of 4 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

a) 12.0 meters

b) 8.0 meters

c) 11.0 meters

d) 9.0 meters

e) 10.0 meters

31) If the initial velocity after leaving the spring is 9.00 m/s, how high does it reach before coming to rest?

a) 3.75 m

b) 3.94 m

c) 4.13 m

d) 4.34 m

e) 4.56 m

32) A lead filled bicycle wheel of radius 0.35 m and mass 2.3 kg is rotating at a frequency of 1.1 revolutions per second. What is the moment of inertia?

a) 2.82 x 10^-1 kg m²/s²

b) 3.41 x 10^-1 kg m²/s²

c) 4.14 x 10^-1 kg m²/s²

d) 5.01 x 10^-1 kg m²/s²

e) 6.07 x 10^-1 kg m²/s²

33) A sled of mass 2.6 kg is on perfectly smooth surface. A string pulls with a tension of 19.2N. At what angle above the horizontal must the string pull in order to achieve an accelerations of 2.4 m/s²?

a) 53.7 degrees

b) 61.8 degrees

c) 71 degrees

d) 81.7 degrees

e) 93.9 degrees

34) A car is headed due north and decreasing its speed. It is also turning right because it is also traveling in a perfect circle. The acceleration vector points

a) southeast

b) south

c) northeast

d) north

e) northwest

35)

A massless bar of length, S = 8.4m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 37.7 degrees above the horizontal. An object of mass, M = 5.1kg is suspended at a length, L = 4.7m from the wall. What is the tension, T, in the string?

a) 1.82E+01 N

b) 2.29E+01 N

c) 2.89E+01 N

d) 3.63E+01 N

e) 4.57E+01 N

36) A car is traveling east and slowing down. The acceleration is

a) to the west

b) zero

c) to the east

37)

A massless bar of length, S = 9.6m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 35 degrees above the horizontal. An object of mass, M = 5.1kg is suspended at a length, L =5.5m from the wall. What is the y (vertical) component of the force exerted by the wall on the horizontal bar?

a) 2.13E+01 N

b) 2.59E+01 N

c) 3.13E+01 N

d) 3.80E+01 N

e) 4.60E+01 N

38) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

a) 27.0 meters

b) 24.0 meters

c) 26.0 meters

d) 23.0 meters

e) 25.0 meters

39)

In the figure shown, the mass of m₁ is 6 kg, and the mass of m₂ is 3.2 kg. If the external force, F_ext on m₂ is 173 N, what is the tension in the connecting string? Assume that m₁ has a kinetic coefficient of friction equal to 0.31, and that for m₂ the coefficient is 0.44 .

a) 110.2 N

b) 126.7 N

c) 145.7 N

d) 167.6 N

e) 192.7 N

40) The Smith family is having fun on a high speed train travelling at 47.5 m/s. Mrs. Smith, who is at the front of the train, fires straight towards the back with a bullet that is going forward with respect to Earth at a speed of 25.5 m/s. What was the muzzle speed of her bullet?

a) 9.8 m/s.

b) 14.7 m/s.

c) 22 m/s.

d) 33 m/s.

e) 49.5 m/s.

41)

A massless bar of length, S = 8.1m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 32 degrees above the horizontal. An object of mass, M = 7.6kg is suspended at a length, L = 5.1m from the wall. What is the x (horizontal) component of the force exerted by the wall on the horizontal bar?

a) 7.50E+01 N

b) 9.09E+01 N

c) 1.10E+02 N

d) 1.33E+02 N

e) 1.62E+02 N

42) A car is headed due north and decreasing its speed. It is also turning left because it is also traveling in a perfect circle. The acceleration vector points

a) south

b) southwest

c) west

d) southeast

e) northwest

43) If you toss a coin into the air, the velocity on the way down is

a) zero

b) up

c) down

44) A car is traveling in a perfect circle at constant speed. If the car is headed north while turning west, the acceleration is

a) zero

b) south

c) west

d) east

e) north

45)

Is $adt/v=vdt/r$ valid for uniform circular motion?

a) Yes

b) No

46) If you toss a coin into the air, the acceleration while it as its highest point is

a) up

b) zero

c) down

47) A merry-go round has a period of 0.32 minutes. What is the centripetal force on a 88.1 kg person who is standing 1.73 meters from the center?

a) 16.3 newtons.

b) 18.8 newtons.

c) 21.6 newtons.

d) 24.8 newtons.

e) 28.5 newtons.

48)

In the figure shown (with m₁ = 6.5 kg, m₂ = 2.5 kg, and F_ext = 141 N), what is the acceleration? Assume no friction is present.

a) 9 m/s²

b) 10.3 m/s²

c) 11.8 m/s²

d) 13.6 m/s²

e) 15.7 m/s²

49) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 6 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 4 seconds to come to rest. How far did he travel?

a) 17.0 meters

b) 16.0 meters

c) 14.0 meters

d) 13.0 meters

e) 15.0 meters

50) A mass with weight (mg) equal to 21 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 66 degrees with respect to the horizontal. What is the tension in each string?

a) 6.6 N.

b) 7.6 N.

c) 8.7 N.

d) 10 N.

e) 11.5 N.

51) If you toss a coin into the air, the velocity while it as its highest point is

a) up

b) zero

c) down

52)

Is $dv/r=d\ell /v$ valid for uniform circular motion?

a) Yes

b) No

53)

A 171 gm bullet strikes a ballistic pendulum of mass 2.41 kg (before the bullet struck). After impact, the pendulum rises by 65 cm. What was the speed of the bullet?

a) 41 m/s.

b) 44 m/s.

c) 47 m/s.

d) 50 m/s.

e) 54 m/s.

54) A car is headed due north and increasing its speed. It is also turning left because it is also traveling in a perfect circle. The velocity vector points

a) northwest

b) southeast

c) northeast

d) northeast

e) north

55) A car is headed due north and increasing its speed. It is also turning right because it is also traveling in a perfect circle. The acceleration vector points

a) northwest

b) south

c) southwest

d) northeast

e) north

56) Mr. Smith starts at rest and accelerates to a speed of 4 m/s, in 2 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

a) 19.0 meters

b) 20.0 meters

c) 22.0 meters

d) 21.0 meters

e) 23.0 meters

57) A sled of mass 5.2 kg is at rest on a perfectly smooth surface. A string pulls with a tension of 41.3N at an angle of 55 degress above the horizontal. How long will it take to reach a speed of 9.8 m/s?

a) 1.87 s

b) 2.15 s

c) 2.47 s

d) 2.85 s

e) 3.27 s

58) If a molecule with atomic mass equal to 9 amu has a speed of 249 m/s, what is the speed at an atom in the same atmosphere of a molecule with an atomic mass of 31 ?

a) 6.23 x 10¹ m/s

b) 7.54 x 10¹ m/s

c) 9.14 x 10¹ m/s

d) 1.11 x 10² m/s

e) 1.34 x 10² m/s

59) A 6.5 cm diameter pipe can fill a 1.8 m^3 volume in 4.0 minutes. Before exiting the pipe, the diameter is reduced to 2.3 cm (with no loss of flow rate). What is the pressure difference (in Pascals) between the two regions of the pipe?

a) 1.60E5

b) 1.94E5

c) 2.35E5

d) 2.85E5

e) 3.46E5

60) You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

a) 1.218 m/s

b) 1.291 m/s

c) 1.368 m/s

d) 1.450 m/s

e) 1.537 m/s

61) The mass of the cart is 3.0kg, and the spring constant is 7941N/m. If the initial compression of the spring is 2.00m, how high does it reach before coming to rest?

a) 5.14E+02 m

b) 5.40E+02 m

c) 5.67E+02 m

d) 5.96E+02 m

e) 6.25E+02 m

62) A car is traveling west and slowing down. The acceleration is

a) to the west

b) zero

c) to the east

63) A car with a tire radius of 0.23 m accelerates from 0 to 23 m/s in 10.5 seconds. What is the angular acceleration of the wheel?

a) 9.52 x 10⁰ m

b) 1.15 x 10¹ m

c) 1.4 x 10¹ m

d) 1.69 x 10¹ m

e) 2.05 x 10¹ m

64)

Is $dv=|{\vec {v}}_{2}|-|{\vec {v}}_{1}|$ valid for uniform circular motion?

a) Yes

b) No

65) A car is headed due north and increasing its speed. It is also turning right because it is also traveling in a perfect circle. The velocity vector points

a) northwest

b) northeast

c) southwest

d) south

e) north

66) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

a) 9.0 meters

b) 11.0 meters

c) 10.0 meters

d) 12.0 meters

e) 8.0 meters

67)

Is $v/d\ell =r/dv$ valid for uniform circular motion?

a) Yes

b) No

68)

Is $dv=adt$ valid for uniform circular motion?

a) Yes

b) No

69) What is the acceleration if a car travelling at 9.75 m/s makes a skid mark that is 8 m long before coming to rest? (Assume uniform acceleration.)

a) 2.87m/s².

b) 3.44m/s².

c) 4.13m/s².

d) 4.95m/s².

e) 5.94m/s².

70) A ball is kicked horizontally from a height of 2.8 m, at a speed of 7.9m/s. How far does it travel before landing?

a) 3.46 m.

b) 4.15 m.

c) 4.98 m.

d) 5.97 m.

e) 7.17 m.

71) What is the gravitational acceleration on a plant that is 2.33 times more massive than Earth, and a radius that is 1.49 times greater than Earths?

a) 10.3 m/s²

b) 11.8 m/s²

c) 13.6 m/s²

d) 15.6 m/s²

e) 18 m/s²

72) As the Moon circles Earth, the acceleration of the Moon is

a) in the same direction as the Moon's velocity

b) opposite the direction of the Moon's velocity

c) towards Earth

d) away from Earth

e) zero

73) What is the highest point the cart reaches if the speed was 1.8m/s, when the cart was situated at a height of 2.5m?,

a) 2.50 m

b) 2.63 m

c) 2.76 m

d) 2.89 m

e) 3.04 m

74) A cylinder with a radius of 0.29 m and a length of 2.8 m is held so that the top circular face is 4.6 m below the water. The mass of the block is 952.0 kg. The mass density of water is 1000kg/m^3. What is the force exerted by the water at the top surface?

a) 1.19E4 N

b) 1.50E4 N

c) 1.89E4 N

d) 2.38E4 N

e) 2.99E4 N

75) A window is square, with a length of each side equal to 0.79 meters. The glass has a thickness of 15 mm. To decrease the heat loss, you reduce the size of the window by decreasing the length of each side by a factor of 1.33. You also increase the thickness of the glass by a factor of 2.17. If the inside and outside temperatures are unchanged, by what factor have you decreased the heat flow?. By what factor have you decreased the heat flow (assuming the same inside and outside temperatures).

a) 2.16 x 10⁰ unit

b) 2.62 x 10⁰ unit

c) 3.17 x 10⁰ unit

d) 3.84 x 10⁰ unit

e) 4.65 x 10⁰ unit

76) A car of mass 654 kg is driving on an icy road at a speed of 15 m/s, when it collides with a stationary truck. After the collision they stick and move at a speed of 5.7 m/s. What was the mass of the truck?

a) 741 kg

b) 889 kg

c) 1067 kg

d) 1280 kg

e) 1537 kg

77) Mr. Smith starts from rest and accelerates to 4 m/s in 5 seconds. How far did he travel?

a) 8.0 meters

b) 10.0 meters

c) 7.0 meters

d) 9.0 meters

e) 11.0 meters

78) If you toss a coin into the air, the acceleration on the way up is

a) zero

b) up

c) down

79) Mr. Smith starts from rest and accelerates to 4 m/s in 3 seconds. How far did he travel?

a) 5.0 meters

b) 6.0 meters

c) 3.0 meters

d) 4.0 meters

e) 7.0 meters

80) A particle is initially at the origin and moving in the x direction at a speed of 4.1 m/s. It has an constant acceleration of 1.5 m/s² in the y direction, as well as an acceleration of 0.7 in the x direction. What angle does the velocity make with the x axis at time t = 2.2 s?

a) 17.34 degrees.

b) 19.94 degrees.

c) 22.94 degrees.

d) 26.38 degrees.

e) 30.33 degrees.

81) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.82 kg is filled with 0.11 kg of water. How much heat does it take to raise both from 20.2 C to 96.9 C?

a) 6.62 x 10⁴ J

b) 7.8 x 10⁴ J

c) 9.19 x 10⁴ J

d) 1.08 x 10⁵ J

e) 1.28 x 10⁵ J

82) The Smith family is having fun on a high speed train travelling at 47.6 m/s. The daugher fires at Mr. Smith with a pellet gun whose muzzle speed is 23.8 m/s. She was situated across the isle, perpendicular to the length of the train. What is the speed of her bullet with respect to Earth?

a) 10.5 m/s.

b) 15.8 m/s.

c) 23.7 m/s.

d) 35.5 m/s.

e) 53.2 m/s.

83) A merry-go-round has an angular frequency, $\omega$, equal to 0.174 rad/sec. How many minutes does it take to complete 12.5 revolutions?

a) 5.69 minutes.

b) 6.54 minutes.

c) 7.52 minutes.

d) 8.65 minutes.

e) 9.95 minutes.

84) When a table cloth is quickly pulled out from under dishes, they hardly move. This is because

a) objects don't begin to accelerate until after the force has been applied

b) the cloth is more slippery when it is pulled quickly

c) the cloth is accelerating for such a brief time that there is little motion

85) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 6 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 4 seconds to come to rest. How far did he travel?

a) 16.0 meters

b) 19.0 meters

c) 17.0 meters

d) 18.0 meters

e) 20.0 meters

86)

A 1241 heat cycle uses 1.9 moles of an ideal gas. The pressures and volumes are: P₁= 2.9 kPa, P₂= 4.7 kPa. The volumes are V₁= 2.7m³ and V₄= 5.6m³. What is the temperature at step 4?

a) 1.03 x 10¹ K

b) 3.25 x 10¹ K

c) 1.03 x 10² K

d) 3.25 x 10² K

e) 1.03 x 10³ K

87) A car is traveling east and speeding up. The acceleration is

a) zero

b) to the east

c) to the west

88) A mass with weight (mg) 8.9 newtons is on a horzontal surface. It is being pulled on by a string at an angle of 30 degrees above the horizontal, with a force equal to 5.12 newtons. If this is the maximum force before the block starts to move, what is the static coefficient of friction?

a) 0.7

b) 0.84

c) 1.01

d) 1.21

e) 1.45

89) What is the root-mean-square of 5, 7, and 0?

a) 4.426 x 10⁰

b) 4.967 x 10⁰

c) 5.573 x 10⁰

d) 6.253 x 10⁰

e) 7.015 x 10⁰

90)

A 1241 heat cycle uses 2.2 moles of an ideal gas. The pressures and volumes are: P₁= 2.2 kPa, P₂= 3.7 kPa. The volumes are V₁= 1.8m³ and V₄= 4.4m³. How much work is involved between 1 and 4?

a) 1.81 x 10² J

b) 5.72 x 10² J

c) 1.81 x 10³ J

d) 5.72 x 10³ J

e) 1.81 x 10⁴ J

91) In the figure "3 tensions" shown above θ₁ is 18 degrees, and θ₃ is 35 degrees. The tension T₃ is 48 N. What is the weight?

a) 40.3 N.

b) 46.4 N.

c) 53.3 N.

d) 61.3 N.

e) 70.5 N.

92) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.66 kg is filled with 0.11 kg of water. What fraction of the heat went into the aluminum?

a) 3.4 x 10^-1

b) 4.1 x 10^-1

c) 4.8 x 10^-1

d) 5.6 x 10^-1

e) 6.6 x 10^-1

93)

The moment of inertia of a solid disk of mass, M, and radius, R, is ½ MR². Two identical disks, each with mass 1.8 kg are attached. The larger disk has a diameter of 0.86 m, and the smaller disk has a diameter of 0.38 m. If a force of 31 N is applied at the rim of the smaller disk, what is the angular acceleration?

a) 1.37 x 10¹ s^-2

b) 1.67 x 10¹ s^-2

c) 2.02 x 10¹ s^-2

d) 2.44 x 10¹ s^-2

e) 2.96 x 10¹ s^-2

94) A car is headed due north and increasing its speed. It is also turning left because it is also traveling in a perfect circle. The acceleration vector points

a) northeast

b) southwest

c) northwest

d) south

e) north

95)

Is $dv/d\ell =r/v$ valid for uniform circular motion?

a) Yes

b) No

96)

In the figure shown, L₁ = 6.1m, L₂ = 3.2m and L₃ = 7.2m. What is F₂ if F₁ =0.77N and F₃ =0N?

a) 8.25E-01 N

b) 1.00E+00 N

c) 1.21E+00 N

d) 1.47E+00 N

e) 1.78E+00 N

97) A 9.7 cm diameter pipe can fill a 1.2 m^3 volume in 4.0 minutes. Before exiting the pipe, the diameter is reduced to 4.3 cm (with no loss of flow rate). What is the speed in the first (wider) pipe?

a) 4.61E-1 m/s

b) 5.58E-1 m/s

c) 6.77E-1 m/s

d) 8.20E-1 m/s

e) 9.93E-1 m/s

98) A car is traveling in a perfect circle at constant speed. If the car is headed north while turning east, the acceleration is

a) east

b) north

c) south

d) zero

e) west

99)

In the figure shown, θ₁ is 17 degrees , and θ₃ is 29 degrees . The mass has a weight of 29 N. What is the tension, T₁?

a) 20.16 N.

b) 23.18 N.

c) 26.66 N.

d) 30.66 N.

e) 35.26 N.

100) Without their shoes, members of a 9 person baseball team have a coefficient of static friction of only 0.23 . But the team wins a game of tug of war due to their superior mass of 607 kg. They are playing against a 5 person basketball team with a net mass of 429 kg. What is the maximum coefficient of static friction of the basketball team?

a) 0.269

b) 0.296

c) 0.325

d) 0.358

e) 0.394

101) A lead filled bicycle wheel of radius 0.37 m and mass 2.1 kg is rotating at a frequency of 1.4 revolutions per second. What is the total kinetic energy if the wheel is rotating about a stationary axis?

a) 5.16 x 10⁰ J

b) 6.25 x 10⁰ J

c) 7.58 x 10⁰ J

d) 9.18 x 10⁰ J

e) 1.11 x 10¹ J

102) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 8.49 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.73 m, and moves at a constant speed of 2.09 m/s in the +y direction. What is the value of θ (in radians)?

a) 0.14 radians.

b) 0.16 radians.

c) 0.19 radians.

d) 0.22 radians.

e) 0.25 radians.

103) A sled of mass 5.4 kg is at rest on a rough surface. A string pulls with a tension of 46.6N at an angle of 38 degress above the horizontal. What is the magnitude of the friction?

a) 36.72 N.

b) 42.23 N.

c) 48.56 N.

d) 55.85 N.

e) 64.23 N.

104)

In the figure shown, θ₁ is 19 degrees, and θ₃ is 38 degrees. The tension T₃ is 21 N. What is the tension, T₁?

a) 10.01 N.

b) 11.51 N.

c) 13.23 N.

d) 15.22 N.

e) 17.5 N.

105) The spring constant is 710N/m, and the initial compression is 0.15m. What is the mass if the cart reaches a height of 2.62m, before coming to rest?

a) 0.282 kg

b) 0.296 kg

c) 0.311 kg

d) 0.327 kg

e) 0.343 kg

106) What is the gravitational acceleration on a plant that is 1.73 times more dense than Earth, and a radius that is 2.44 times greater than Earth's?

a) 41.4 m/s²

b) 47.6 m/s²

c) 54.7 m/s²

d) 62.9 m/s²

e) 72.4 m/s²

107)

Is $rd\ell =vdv$ valid for uniform circular motion?

a) Yes

b) No

108) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 5.94 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.92 m, and moves at a constant speed of 2.89 m/s in the +y direction. At what time do they meet?

a) 0.33 s.

b) 0.39 s.

c) 0.47 s.

d) 0.56 s.

e) 0.68 s.

109) A merry-go round has a period of 0.22 minutes. What is the minimum coefficient of static friction that would allow a 96.9 kg person to stand1.95 meters from the center, without grabbing something?

a) 0.03

b) 0.034

c) 0.039

d) 0.045

e) 0.052

110)

Is $d\ell =vdt$ valid for uniform circular motion?

a) Yes

b) No

111)

Is $dv/d\ell =v/r$ valid for uniform circular motion?

a) Yes

b) No

112) Mr. Smith starts from rest and accelerates to 3 m/s in 2 seconds. How far did he travel?

a) 5.0 meters

b) 4.0 meters

c) 3.0 meters

d) 2.0 meters

e) 1.0 meters

113)

In the figure shown, the mass of m₁ is 5.4 kg, and the mass of m₂ is 3.9 kg. If the external force, F_ext on m₂ is 136 N, what is the tension in the connecting string? Assume no friction is present.

a) 79 N

b) 90.8 N

c) 104.4 N

d) 120.1 N

e) 138.1 N

114) If you toss a coin into the air, the acceleration on the way down is

a) up

b) zero

c) down

115) A car traveling at 42.8 miles/hour stops in 7.5 seconds. What is the average acceleration?

a) 8.07 x 10^-1 m/s²

b) 1.43 x 10⁰ m/s²

c) 2.55 x 10⁰ m/s²

d) 4.54 x 10⁰ m/s²

e) 8.07 x 10⁰ m/s²

116) A large cylinder is filled with water so that the bottom is 8.8 m below the waterline. At the bottom is a small hole with a diameter of 6.3E-4 m. How fast is the water flowing at the hole? (Neglect viscous effects, turbulence, and also assume that the hole is so small that no significant motion occurs at the top of the cylinder.)

a) 1.08E1 m/s

b) 1.31E1 m/s

c) 1.59E1 m/s

d) 1.93E1 m/s

e) 2.34E1 m/s

117) A car completes a complete circle of radius 2.2 miles at a speed of 63.6 miles per hour. How many minutes does it take?

a) 9.78 x 10⁰ minutes

b) 1.3 x 10¹ minutes

c) 1.74 x 10¹ minutes

d) 2.32 x 10¹ minutes

e) 3.09 x 10¹ minutes

118) A cylinder with a radius of 0.38 m and a length of 3.6 m is held so that the top circular face is 4.2 m below the water. The mass of the block is 829.0 kg. The mass density of water is 1000kg/m^3. What is the force exerted by the fluid on the bottom of the cylinder?

a) 1.74E4 Pa

b) 2.19E4 Pa

c) 2.75E4 Pa

d) 3.47E4 Pa

e) 4.37E4 Pa

119) The cart has a mass of 36.40kg. It is moving at a speed of 3.90m/s, when it is at a height of 2.52m. If the spring constant was 612N/m, what was the initial compression?

a) 1.83 m

b) 1.96 m

c) 2.10 m

d) 2.24 m

e) 2.40 m

120) A cylinder with a radius of 0.38 m and a length of 2.2 m is held so that the top circular face is 3.8 m below the water. The mass of the block is 903.0 kg. The mass density of water is 1000kg/m^3. What is the buoyant force?

a) 8.07E3 N

b) 9.78E3 N

c) 1.18E4 N

d) 1.44E4 N

e) 1.74E4 N

121)

rilght

In the figure shown, θ is 32 degrees, and the mass is 2.8 kg. What is T₂?

a) 45.03 N.

b) 51.78 N.

c) 59.55 N.

d) 68.48 N.

e) 78.75 N.

All B0

1) A car traveling at 54 miles/hour stops in 5.2 seconds. What is the average acceleration?

a) 4.64 x 10⁰ m/s²

b) 8.26 x 10⁰ m/s²

c) 1.47 x 10¹ m/s²

d) 2.61 x 10¹ m/s²

e) 4.64 x 10¹ m/s²

2) A car completes a complete circle of radius 3 miles at a speed of 62.1 miles per hour. How many minutes does it take?

a) 1.37 x 10¹ minutes

b) 1.82 x 10¹ minutes

c) 2.43 x 10¹ minutes

d) 3.24 x 10¹ minutes

e) 4.32 x 10¹ minutes

3) A car traveling at 32.9 mph increases its speed to 35.1 mph in 4.6 seconds. What is the average acceleration?

a) 2.14 x 10^-1 m/s²

b) 3.8 x 10^-1 m/s²

c) 6.76 x 10^-1 m/s²

d) 1.2 x 10⁰ m/s²

e) 2.14 x 10⁰ m/s²

4) Mr. Smith is backing his car at a speed of 3.06 mph when he hits a cornfield (seed corn). In the course of 1.29 seconds he stops, puts his car in forward drive, and exits the field at a speed of 5.6 mph. What was the magnitude ( absolute value) of his acceleration?

a) 3.36 x 10⁰ miles per hour per second

b) 4.24 x 10⁰ miles per hour per second

c) 5.33 x 10⁰ miles per hour per second

d) 6.71 x 10⁰ miles per hour per second

e) 8.45 x 10⁰ miles per hour per second

5) A car is accelerating uniformly at an acceleration of 3.3m/s/s. At x = 5.75m, the speed is 4.95m/s. How fast is it moving at x = 13.75 m?

a) 5.09 m/s.

b) 6.11 m/s.

c) 7.33 m/s.

d) 8.79 m/s.

e) 10.55 m/s.

6) What is the acceleration if a car travelling at 10.9 m/s makes a skid mark that is 6.25 m long before coming to rest? (Assume uniform acceleration.)

a) 5.5m/s/2.

b) 6.6m/s/2.

c) 7.92m/s/2.

d) 9.5m/s/2.

e) 11.41m/s/2.

7) A train accelerates uniformly from 15.75 m/s to 30.375 m/s, while travelling a distance of 357 m. What is the 'average' acceleration?

a) 0.55m/s/s.

b) 0.66m/s/s.

c) 0.79m/s/s.

d) 0.94m/s/s.

e) 1.13m/s/s.

8) A particle accelerates uniformly at 13 m/s/s. How long does it take for the velocity to increase from 1024 m/s to 1888 m/s?

a) 46.15 s

b) 55.38 s

c) 66.46 s

d) 79.75 s

e) 95.7 s

9) Mr. Smith starts from rest and accelerates to 4 m/s in 3 seconds. How far did he travel?

a) 5.0 meters

b) 6.0 meters

c) 4.0 meters

d) 7.0 meters

e) 3.0 meters

10) Mr. Smith starts from rest and accelerates to 4 m/s in 5 seconds. How far did he travel?

a) 8.0 meters

b) 10.0 meters

c) 7.0 meters

d) 11.0 meters

e) 9.0 meters

11) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

a) 9.0 meters

b) 8.0 meters

c) 12.0 meters

d) 11.0 meters

e) 10.0 meters

12) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 2 seconds. He then travels at this speed for an additional 1 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

a) 5.0 meters

b) 9.0 meters

c) 6.0 meters

d) 7.0 meters

e) 8.0 meters

13) Mr. Smith is driving at a speed of 4 m/s, when he slows down to a speed of 1 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

a) 7.0 meters

b) 9.0 meters

c) 11.0 meters

d) 8.0 meters

e) 10.0 meters

14) Mr. Smith starts at rest and accelerates to a speed of 4 m/s, in 2 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

a) 20.0 meters

b) 19.0 meters

c) 23.0 meters

d) 21.0 meters

e) 22.0 meters

15) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

a) 4.0 meters

b) 6.0 meters

c) 5.0 meters

d) 3.0 meters

e) 7.0 meters

16) Mr. Smith is driving at a speed of 5 m/s, when he slows down to a speed of 4 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

a) 10.0 meters

b) 12.0 meters

c) 8.0 meters

d) 11.0 meters

e) 9.0 meters

17) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 6 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 4 seconds to come to rest. How far did he travel?

a) 20.0 meters

b) 17.0 meters

c) 18.0 meters

d) 19.0 meters

e) 16.0 meters

18) Mr. Smith starts from rest and accelerates to 3 m/s in 2 seconds. How far did he travel?

a) 5.0 meters

b) 1.0 meters

c) 2.0 meters

d) 4.0 meters

e) 3.0 meters

19) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

a) 24.0 meters

b) 23.0 meters

c) 26.0 meters

d) 25.0 meters

e) 27.0 meters

20) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 6 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 4 seconds to come to rest. How far did he travel?

a) 13.0 meters

b) 14.0 meters

c) 15.0 meters

d) 17.0 meters

e) 16.0 meters

21) A ball is kicked horizontally from a height of 2.8 m, at a speed of 7.9m/s. How far does it travel before landing?

a) 3.46 m.

b) 4.15 m.

c) 4.98 m.

d) 5.97 m.

e) 7.17 m.

22) A particle is initially at the origin and moving in the x direction at a speed of 3.8 m/s. It has an constant acceleration of 2.1 m/s² in the y direction, as well as an acceleration of 0.6 in the x direction. What angle does the velocity make with the x axis at time t = 2.9 s?

a) 31.37 degrees.

b) 36.07 degrees.

c) 41.48 degrees.

d) 47.71 degrees.

e) 54.86 degrees.

23) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 5.94 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.92 m, and moves at a constant speed of 2.89 m/s in the +y direction. At what time do they meet?

a) 0.33 s.

b) 0.39 s.

c) 0.47 s.

d) 0.56 s.

e) 0.68 s.

24) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 8.02 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.27 m, and moves at a constant speed of 2.5 m/s in the +y direction. What is the value of θ (in radians)?

a) 0.18 radians.

b) 0.21 radians.

c) 0.24 radians.

d) 0.28 radians.

e) 0.32 radians.

25) The Smith family is having fun on a high speed train travelling at 47.6 m/s. Mr. Smith is at the back of the train and fires a pellet gun with a muzzle speed of 29.7 m/s at Mrs. Smith who is at the front of the train. What is the speed of the bullet with respect to Earth?

a) 22.9 m/s.

b) 34.4 m/s.

c) 51.5 m/s.

d) 77.3 m/s.

e) 116 m/s.

26) The Smith family is having fun on a high speed train travelling at 42.3 m/s. Mrs. Smith, who is at the front of the train, fires straight towards the back with a bullet that is going forward with respect to Earth at a speed of 26.3 m/s. What was the muzzle speed of her bullet?

a) 7.1 m/s.

b) 10.7 m/s.

c) 16 m/s.

d) 24 m/s.

e) 36 m/s.

27) The Smith family is having fun on a high speed train travelling at 47.6 m/s. The daugher fires at Mr. Smith with a pellet gun whose muzzle speed is 23.8 m/s. She was situated across the isle, perpendicular to the length of the train. What is the speed of her bullet with respect to Earth?

a) 10.5 m/s.

b) 15.8 m/s.

c) 23.7 m/s.

d) 35.5 m/s.

e) 53.2 m/s.

28) The Smith family got in trouble for having fun on a high speed train travelling at 47.5 m/s. Mr. Smith is charged with having fired a pellet gun at his daughter (directly across the isle) with a bullet that had a speed of 94.6 m/s with respect to Earth. How fast was the bullet going relative to the daughter (i.e. train)?

a) 81.8 m/s.

b) 98.2 m/s.

c) 117.8 m/s.

d) 141.4 m/s.

e) 169.6 m/s.

29) When a table cloth is quickly pulled out from under dishes, they hardly move. This is because

a) objects don't begin to accelerate until after the force has been applied

b) the cloth is accelerating for such a brief time that there is little motion

c) the cloth is more slippery when it is pulled quickly

30) If you toss a coin into the air, the acceleration while it as its highest point is

a) up

b) zero

c) down

31) If you toss a coin into the air, the velocity on the way up is

a) down

b) zero

c) up

32) If you toss a coin into the air, the velocity on the way down is

a) down

b) zero

c) up

33) If you toss a coin into the air, the velocity while it as its highest point is

a) up

b) zero

c) down

34) A car is headed due north and increasing its speed. It is also turning left because it is also traveling in a perfect circle. The acceleration vector points

a) southwest

b) northeast

c) south

d) northwest

e) north

35) A car is headed due north and increasing its speed. It is also turning right because it is also traveling in a perfect circle. The acceleration vector points

a) south

b) southwest

c) northeast

d) north

e) northwest

36) A car is headed due north and increasing its speed. It is also turning left because it is also traveling in a perfect circle. The velocity vector points

a) northeast

b) north

c) northeast

d) southeast

e) northwest

37) A car is headed due north and increasing its speed. It is also turning right because it is also traveling in a perfect circle. The velocity vector points

a) northwest

b) southwest

c) north

d) northeast

e) south

38) A car is headed due north and decreasing its speed. It is also turning left because it is also traveling in a perfect circle. The acceleration vector points

a) southeast

b) southwest

c) south

d) west

e) northwest

39) A car is headed due north and decreasing its speed. It is also turning right because it is also traveling in a perfect circle. The acceleration vector points

a) north

b) northeast

c) northwest

d) southeast

e) south

40) A car is traveling west and slowing down. The acceleration is

a) to the west

b) zero

c) to the east

41) A car is traveling east and slowing down. The acceleration is

a) zero

b) to the east

c) to the west

42) A car is traveling east and speeding up. The acceleration is

a) to the west

b) zero

c) to the east

43) If you toss a coin into the air, the acceleration on the way up is

a) down

b) zero

c) up

44) A car is traveling in a perfect circle at constant speed. If the car is headed north while turning west, the acceleration is

a) north

b) west

c) zero

d) south

e) east

45) A car is traveling in a perfect circle at constant speed. If the car is headed north while turning east, the acceleration is

a) east

b) zero

c) south

d) west

e) north

46) As the Moon circles Earth, the acceleration of the Moon is

a) in the same direction as the Moon's velocity

b) opposite the direction of the Moon's velocity

c) towards Earth

d) away from Earth

e) zero

47) If you toss a coin into the air, the acceleration on the way down is

a) zero

b) down

c) up

48) A mass with weight (mg) of 39 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 56 degrees. What is the tension in the string?

a) 22.1 N.

b) 25.4 N.

c) 29.2 N.

d) 33.6 N.

e) 38.6 N.

49) A mass with weight (mg) equal to 37 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 65 degrees with respect to the horizontal. What is the tension in each string?

a) 15.4 N.

b) 17.7 N.

c) 20.4 N.

d) 23.5 N.

e) 27 N.

50) A 2.2 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.59 . In addition to the surface friction, there is also an air drag equal to 14 N. What is the magnitude (absolute value) of the acceleration?

a) 6.9 m/s².

b) 8 m/s².

c) 9.2 m/s².

d) 10.6 m/s².

e) 12.1 m/s².

51) A mass with weight (mg) 8.7 newtons is on a horzontal surface. It is being pulled on by a string at an angle of 30 degrees above the horizontal, with a force equal to 4.08 newtons. If this is the maximum force before the block starts to move, what is the static coefficient of friction?

a) 0.31

b) 0.37

c) 0.44

d) 0.53

e) 0.64

52) A sled of mass 5.9 kg is at rest on a rough surface. A string pulls with a tension of 43.6N at an angle of 38 degress above the horizontal. What is the magnitude of the friction?

a) 19.64 N.

b) 22.59 N.

c) 25.98 N.

d) 29.88 N.

e) 34.36 N.

53) A sled of mass 5.8 kg is at rest on a rough surface. A string pulls with a tension of 42.5N at an angle of 51 degress above the horizontal. What is the normal force?

a) 13.61 N.

b) 15.66 N.

c) 18 N.

d) 20.71 N.

e) 23.81 N.

54) A sled of mass 5.7 kg is at rest on a perfectly smooth surface. A string pulls with a tension of 41.3N at an angle of 40 degress above the horizontal. How long will it take to reach a speed of 10.3 m/s?

a) 1.4 s

b) 1.61 s

c) 1.86 s

d) 2.13 s

e) 2.45 s

55) A sled of mass 2.6 kg is on perfectly smooth surface. A string pulls with a tension of 19.3N. At what angle above the horizontal must the string pull in order to achieve an accelerations of 2.5 m/s²?

a) 70.3 degrees

b) 80.9 degrees

c) 93 degrees

d) 106.9 degrees

e) 123 degrees

56)

In the figure shown, θ₁ is 15 degrees, and θ₃ is 36 degrees. The tension T₃ is 39 N. What is the tension, T₁?

a) 32.66 N.

b) 37.56 N.

c) 43.2 N.

d) 49.68 N.

e) 57.13 N.

57) In the figure "3 tensions" shown above θ₁ is 17 degrees, and θ₃ is 29 degrees. The tension T₃ is 12 N. What is the weight?

a) 5.9 N.

b) 6.8 N.

c) 7.8 N.

d) 9 N.

e) 10.4 N.

58)

rilght

In the figure shown, θ is 28 degrees, and the mass is 2.9 kg. What is T₂?

a) 60.54 N.

b) 69.62 N.

c) 80.06 N.

d) 92.07 N.

e) 105.88 N.

59)

rilght

In the figure shown, θ is 33 degrees, and the mass is 2.8 kg. What is T₁?

a) 35.2 N.

b) 42.3 N.

c) 50.7 N.

d) 60.8 N.

e) 73 N.

60)

In the figure shown, θ₁ is 20 degrees , and θ₃ is 33 degrees . The mass has a weight of 31 N. What is the tension, T₁?

a) 32.55 N.

b) 37.44 N.

c) 43.05 N.

d) 49.51 N.

e) 56.94 N.

61)

In the figure shown, the mass of m₁ is 6.4 kg, and the mass of m₂ is 3.7 kg. If the external force, F_ext on m₂ is 135 N, what is the tension in the connecting string? Assume no friction is present.

a) 74.4 N

b) 85.5 N

c) 98.4 N

d) 113.1 N

e) 130.1 N

62)

In the figure shown (with m₁ = 6.7 kg, m₂ = 2.5 kg, and F_ext = 101 N), what is the acceleration? Assume no friction is present.

a) 6.3 m/s²

b) 7.2 m/s²

c) 8.3 m/s²

d) 9.5 m/s²

e) 11 m/s²

63) Nine barefoot baseball players, with a total mass of 692 kg plays tug of war against five basketball players wearing shoes that provide a static coefficient of friction of 0.61 . The net mass of the (shoed) basketball team is 406 kg. What is the maximum coefficient of the barefoot boys if they lose?

a) 0.358

b) 0.394

c) 0.433

d) 0.476

e) 0.524

64) Without their shoes, members of a 9 person baseball team have a coefficient of static friction of only 0.21 . But the team wins a game of tug of war due to their superior mass of 683 kg. They are playing against a 5 person basketball team with a net mass of 389 kg. What is the maximum coefficient of static friction of the basketball team?

a) 0.277

b) 0.305

c) 0.335

d) 0.369

e) 0.406

65)

In the figure shown, the mass of m₁ is 6.5 kg, and the mass of m₂ is 3 kg. If the external force, F_ext on m₂ is 175 N, what is the tension in the connecting string? Assume that m₁ has a kinetic coefficient of friction equal to 0.33, and that for m₂ the coefficient is 0.48 .

a) 66.7 N

b) 76.7 N

c) 88.3 N

d) 101.5 N

e) 116.7 N

66) A merry-go-round has an angular frequency, $\omega$, equal to 0.182 rad/sec. How many minutes does it take to complete 12.5 revolutions?

a) 5.44 minutes.

b) 6.25 minutes.

c) 7.19 minutes.

d) 8.27 minutes.

e) 9.51 minutes.

67) A merry-go round has a period of 0.26 minutes. What is the centripetal force on a 53.3 kg person who is standing 1.35 meters from the center?

a) 7.7 newtons.

b) 8.8 newtons.

c) 10.2 newtons.

d) 11.7 newtons.

e) 13.4 newtons.

68) A merry-go round has a period of 0.38 minutes. What is the minimum coefficient of static friction that would allow a 77.6 kg person to stand1.59 meters from the center, without grabbing something?

a) 0.008

b) 0.009

c) 0.011

d) 0.012

e) 0.014

69) What is the gravitational acceleration on a plant that is 1.83 times more massive than Earth, and a radius that is 1.38 times greater than Earths?

a) 8.2 m/s²

b) 9.4 m/s²

c) 10.8 m/s²

d) 12.5 m/s²

e) 14.3 m/s²

70) What is the gravitational acceleration on a plant that is 1.92 times more dense than Earth, and a radius that is 1.69 times greater than Earth's?

a) 24 m/s²

b) 27.7 m/s²

c) 31.8 m/s²

d) 36.6 m/s²

e) 42.1 m/s²

71)

Is $dv/d\ell =v/r$ valid for uniform circular motion?

a) Yes

b) No

72)

Is $dv/r=d\ell /v$ valid for uniform circular motion?

a) Yes

b) No

73)

Is $rd\ell =vdv$ valid for uniform circular motion?

a) Yes

b) No

74)

Is $dv=|{\vec {v}}_{2}|-|{\vec {v}}_{1}|$ valid for uniform circular motion?

a) Yes

b) No

75)

Is $d\ell /dv=v/r$ valid for uniform circular motion?

a) Yes

b) No

76)

Is $dv/d\ell =r/v$ valid for uniform circular motion?

a) Yes

b) No

77)

Is $dv=|{\vec {v}}_{2}-{\vec {v}}_{1}|$ valid for uniform circular motion?

a) Yes

b) No

78)

Is $d\ell =vdt$ valid for uniform circular motion?

a) Yes

b) No

79)

Is $adt/v=vdt/r$ valid for uniform circular motion?

a) Yes

b) No

80)

Is $dv=adt$ valid for uniform circular motion?

a) Yes

b) No

81)

Is $|d{\vec {v}}|=adt$ valid for uniform circular motion?

a) Yes

b) No

82)

Is $d\ell =|{\vec {r}}_{2}-{\vec {r}}_{1}|$ valid for uniform circular motion?

a) Yes

b) No

83)

Is $d\ell =|{\vec {r}}_{2}|-|{\vec {r}}_{1}|$ valid for uniform circular motion?

a) Yes

b) No

84)

Is $v/d\ell =r/dv$ valid for uniform circular motion?

a) Yes

b) No

85) If the initial velocity after leaving the spring is 7.70 m/s, how high does it reach before coming to rest?

a) 2.88 m

b) 3.02 m

c) 3.18 m

d) 3.34 m

e) 3.50 m

86) The mass of the cart is 2.0kg, and the spring constant is 8128N/m. If the initial compression of the spring is 5.00m, how high does it reach before coming to rest?

a) 4.26E+03 m

b) 4.48E+03 m

c) 4.70E+03 m

d) 4.94E+03 m

e) 5.18E+03 m

87) What is the highest point the cart reaches if the speed was 2.7m/s, when the cart was situated at a height of 3.5m?,

a) 2.88 m

b) 3.02 m

c) 3.17 m

d) 3.33 m

e) 3.50 m

88) The spring constant is 682N/m, and the initial compression is 0.21m. What is the mass if the cart reaches a height of 1.47m, before coming to rest?

a) 1.044 kg

b) 1.096 kg

c) 1.151 kg

d) 1.208 kg

e) 1.269 kg

89) The cart has a mass of 47.20kg. It is moving at a speed of 2.20m/s, when it is at a height of 2.77m. If the spring constant was 527N/m, what was the initial compression?

a) 2.30 m

b) 2.46 m

c) 2.63 m

d) 2.82 m

e) 3.02 m

90) You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

a) 1.022 m/s

b) 1.084 m/s

c) 1.149 m/s

d) 1.218 m/s

e) 1.291 m/s

91) On object of mass 2.3 kg that is moving at a velocity of 16m/s collides with a stationary object of mass 9.6 kg. What is the final velocity if they stick? (Assume no external friction.)

a) 1.49m/s.

b) 1.79m/s.

c) 2.15m/s.

d) 2.58m/s.

e) 3.09m/s.

92) A car of mass 856 kg is driving on an icy road at a speed of 19 m/s, when it collides with a stationary truck. After the collision they stick and move at a speed of 4.7 m/s. What was the mass of the truck?

a) 1507 kg

b) 1809 kg

c) 2170 kg

d) 2604 kg

e) 3125 kg

93)

A 191 gm bullet strikes a ballistic pendulum of mass 2.19 kg (before the bullet struck). After impact, the pendulum rises by 65 cm. What was the speed of the bullet?

a) 34 m/s.

b) 36 m/s.

c) 39 m/s.

d) 42 m/s.

e) 44 m/s.

94)

A massless bar of length, S = 9.8m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 25.2 degrees above the horizontal. An object of mass, M = 4.7kg is suspended at a length, L = 4.4m from the wall. What is the tension, T, in the string?

a) 1.93E+01 N

b) 2.43E+01 N

c) 3.06E+01 N

d) 3.86E+01 N

e) 4.86E+01 N

95)

In the figure shown, L₁ = 5.3m, L₂ = 3.3m and L₃ = 8.7m. What is F₁ if F₂ =8.7N and F₃ =6N?

a) 7.09E+00 N

b) 8.58E+00 N

c) 1.04E+01 N

d) 1.26E+01 N

e) 1.53E+01 N

96)

A massless bar of length, S = 8.9m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 33.9 degrees above the horizontal. An object of mass, M = 8.1kg is suspended at a length, L = 6.3m from the wall. What is the x (horizontal) component of the force exerted by the wall on the horizontal bar?

a) 5.70E+01 N

b) 6.90E+01 N

c) 8.36E+01 N

d) 1.01E+02 N

e) 1.23E+02 N

97)

In the figure shown, L₁ = 6m, L₂ = 4.5m and L₃ = 8.6m. What is F₂ if F₁ =0.82N and F₃ =0.1N?

a) 6.15E-01 N

b) 7.45E-01 N

c) 9.02E-01 N

d) 1.09E+00 N

e) 1.32E+00 N

98)

A massless bar of length, S = 7.7m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 30.4 degrees above the horizontal. An object of mass, M = 4.3kg is suspended at a length, L =4.1m from the wall. What is the y (vertical) component of the force exerted by the wall on the horizontal bar?

a) 1.34E+01 N

b) 1.63E+01 N

c) 1.97E+01 N

d) 2.39E+01 N

e) 2.89E+01 N

99) A car with a tire radius of 0.21 m accelerates from 0 to 29 m/s in 11 seconds. What is the angular acceleration of the wheel?

a) 1.26 x 10¹ m

b) 1.52 x 10¹ m

c) 1.84 x 10¹ m

d) 2.23 x 10¹ m

e) 2.7 x 10¹ m

100) A lead filled bicycle wheel of radius 0.35 m and mass 2.7 kg is rotating at a frequency of 1.5 revolutions per second. What is the moment of inertia?

a) 2.25 x 10^-1 kg m²/s²

b) 2.73 x 10^-1 kg m²/s²

c) 3.31 x 10^-1 kg m²/s²

d) 4.01 x 10^-1 kg m²/s²

e) 4.85 x 10^-1 kg m²/s²

101) A lead filled bicycle wheel of radius 0.41 m and mass 2.9 kg is rotating at a frequency of 1.7 revolutions per second. What is the total kinetic energy if the wheel is rolling about a stationary axis?

a) 2.78 x 10¹ J

b) 3.37 x 10¹ J

c) 4.08 x 10¹ J

d) 4.95 x 10¹ J

e) 5.99 x 10¹ J

102)

The moment of inertia of a solid disk of mass, M, and radius, R, is ½ MR². Two identical disks, each with mass 3.4 kg are attached. The larger disk has a diameter of 0.91 m, and the smaller disk has a diameter of 0.56 m. If a force of 35 N is applied at the rim of the smaller disk, what is the angular acceleration?

a) 9.37 x 10⁰ s^-2

b) 1.14 x 10¹ s^-2

c) 1.38 x 10¹ s^-2

d) 1.67 x 10¹ s^-2

e) 2.02 x 10¹ s^-2

103) A cylinder with a radius of 0.38 m and a length of 3.6 m is held so that the top circular face is 4.2 m below the water. The mass of the block is 829.0 kg. The mass density of water is 1000kg/m^3. What is the pressure at the top face of the cylinder?

a) 3.40E4 Pa

b) 4.12E4 Pa

c) 4.99E4 Pa

d) 6.04E4 Pa

e) 7.32E4 Pa

104) A cylinder with a radius of 0.38 m and a length of 3.6 m is held so that the top circular face is 4.2 m below the water. The mass of the block is 829.0 kg. The mass density of water is 1000kg/m^3. What is the buoyant force?

a) 1.09E4 N

b) 1.32E4 N

c) 1.60E4 N

d) 1.94E4 N

e) 2.35E4 N

105) A cylinder with a radius of 0.28 m and a length of 2.6 m is held so that the top circular face is 4.1 m below the water. The mass of the block is 831.0 kg. The mass density of water is 1000kg/m^3. What is the force exerted by the water at the top surface?

a) 6.24E3 N

b) 7.86E3 N

c) 9.90E3 N

d) 1.25E4 N

e) 1.57E4 N

106) A cylinder with a radius of 0.28 m and a length of 2.9 m is held so that the top circular face is 4.6 m below the water. The mass of the block is 880.0 kg. The mass density of water is 1000kg/m^3. What is the force exerted by the fluid on the bottom of the cylinder?

a) 1.14E4 Pa

b) 1.44E4 Pa

c) 1.81E4 Pa

d) 2.28E4 Pa

e) 2.87E4 Pa

107) A 6.5 cm diameter pipe can fill a 1.8 m^3 volume in 4.0 minutes. Before exiting the pipe, the diameter is reduced to 2.3 cm (with no loss of flow rate). What is the speed in the first (wider) pipe?

a) 1.27E0 m/s

b) 1.54E0 m/s

c) 1.87E0 m/s

d) 2.26E0 m/s

e) 2.74E0 m/s

108) A 6.5 cm diameter pipe can fill a 1.8 m^3 volume in 4.0 minutes. Before exiting the pipe, the diameter is reduced to 2.3 cm (with no loss of flow rate). What is the pressure difference (in Pascals) between the two regions of the pipe?

a) 1.60E5

b) 1.94E5

c) 2.35E5

d) 2.85E5

e) 3.46E5

109) A 9.7 cm diameter pipe can fill a 1.2 m^3 volume in 4.0 minutes. Before exiting the pipe, the diameter is reduced to 4.3 cm (with no loss of flow rate). If two fluid elements at the center of the pipe are separated by 22.0 mm when they are both in the wide pipe, and we neglect turbulence, what is the separation when both are in the narrow pipe?

a) 6.30E1 mm

b) 7.63E1 mm

c) 9.24E1 mm

d) 1.12E2 mm

e) 1.36E2 mm

110) A large cylinder is filled with water so that the bottom is 5.4 m below the waterline. At the bottom is a small hole with a diameter of 9.6E-4 m. How fast is the water flowing at the hole? (Neglect viscous effects, turbulence, and also assume that the hole is so small that no significant motion occurs at the top of the cylinder.)

a) 7.01E0 m/s

b) 8.49E0 m/s

c) 1.03E1 m/s

d) 1.25E1 m/s

e) 1.51E1 m/s

111) What is the root-mean-square of 44, 4, and 36?

a) 2.614 x 10¹

b) 2.933 x 10¹

c) 3.29 x 10¹

d) 3.692 x 10¹

e) 4.142 x 10¹

112) What is the rms speed of a molecule with an atomic mass of 21 if the temperature is 58 degrees Fahrenheit?

a) 4.82 x 10² m/s

b) 5.84 x 10² m/s

c) 7.08 x 10² m/s

d) 8.58 x 10² m/s

e) 1.04 x 10³ m/s

113) If a molecule with atomic mass equal to 7 amu has a speed of 253 m/s, what is the speed at an atom in the same atmosphere of a molecule with an atomic mass of 26 ?

a) 1.31 x 10² m/s

b) 1.59 x 10² m/s

c) 1.93 x 10² m/s

d) 2.33 x 10² m/s

e) 2.83 x 10² m/s

114) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.82 kg is filled with 0.11 kg of water. How much heat does it take to raise both from 20.2 C to 96.9 C?

a) 6.62 x 10⁴ J

b) 7.8 x 10⁴ J

c) 9.19 x 10⁴ J

d) 1.08 x 10⁵ J

e) 1.28 x 10⁵ J

115) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.82 kg is filled with 0.11 kg of water. What fraction of the heat went into the aluminum?

a) 3.8 x 10^-1

b) 4.4 x 10^-1

c) 5.2 x 10^-1

d) 6.2 x 10^-1

e) 7.3 x 10^-1

116) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.95 kg is filled with 0.19 kg of water. You are consulting for the flat earth society, a group of people who believe that the acceleration of gravity equals 9.8 m/s/s at all altitudes. Based on this assumption, from what height must the water and container be dropped to achieve the same change in temperature? (For comparison, Earth's radius is 6,371 kilometers)

a) 5.24 x 10⁰ km

b) 6.35 x 10⁰ km

c) 7.7 x 10⁰ km

d) 9.32 x 10⁰ km

e) 1.13 x 10¹ km

117) A window is square, with a length of each side equal to 0.79 meters. The glass has a thickness of 15 mm. To decrease the heat loss, you reduce the size of the window by decreasing the length of each side by a factor of 1.33. You also increase the thickness of the glass by a factor of 2.17. If the inside and outside temperatures are unchanged, by what factor have you decreased the heat flow?. By what factor have you decreased the heat flow (assuming the same inside and outside temperatures).

a) 2.16 x 10⁰ unit

b) 2.62 x 10⁰ unit

c) 3.17 x 10⁰ unit

d) 3.84 x 10⁰ unit

e) 4.65 x 10⁰ unit

118)

A 1241 heat cycle uses 1.6 moles of an ideal gas. The pressures and volumes are: P₁= 1.9 kPa, P₂= 3.6 kPa. The volumes are V₁= 1.6m³ and V₄= 3.3m³. How much work is done in in one cycle?

a) 4.57 x 10¹ J

b) 1.45 x 10² J

c) 4.57 x 10² J

d) 1.45 x 10³ J

e) 4.57 x 10³ J

119)

A 1241 heat cycle uses 1.3 moles of an ideal gas. The pressures and volumes are: P₁= 1.6 kPa, P₂= 4.3 kPa. The volumes are V₁= 1.6m³ and V₄= 3.2m³. How much work is involved between 1 and 4?

a) 2.56 x 10³ J

b) 8.1 x 10³ J

c) 2.56 x 10⁴ J

d) 8.1 x 10⁴ J

e) 2.56 x 10⁵ J

120)

A 1241 heat cycle uses 2.9 moles of an ideal gas. The pressures and volumes are: P₁= 1.7 kPa, P₂= 3.1 kPa. The volumes are V₁= 2.8m³ and V₄= 4.3m³. How much work is involved between 2 and 4?

a) 3.6 x 10³ J

b) 1.14 x 10⁴ J

c) 3.6 x 10⁴ J

d) 1.14 x 10⁵ J

e) 3.6 x 10⁵ J

121)

A 1241 heat cycle uses 1.3 moles of an ideal gas. The pressures and volumes are: P₁= 1.6 kPa, P₂= 4.3 kPa. The volumes are V₁= 2.9m³ and V₄= 5.8m³. What is the temperature at step 4?

a) 8.59 x 10⁰ K

b) 2.71 x 10¹ K

c) 8.59 x 10¹ K

d) 2.71 x 10² K

e) 8.59 x 10² K

All B1

1)

In the figure shown, the mass of m₁ is 6.8 kg, and the mass of m₂ is 3.3 kg. If the external force, F_ext on m₂ is 112 N, what is the tension in the connecting string? Assume that m₁ has a kinetic coefficient of friction equal to 0.39, and that for m₂ the coefficient is 0.46 .

a) 48.6 N

b) 55.9 N

c) 64.2 N

d) 73.9 N

e) 85 N

2) A 9.7 cm diameter pipe can fill a 1.2 m^3 volume in 4.0 minutes. Before exiting the pipe, the diameter is reduced to 4.3 cm (with no loss of flow rate). What is the pressure difference (in Pascals) between the two regions of the pipe?

a) 5.70E3

b) 6.90E3

c) 8.36E3

d) 1.01E4

e) 1.23E4

3) A car with a tire radius of 0.23 m accelerates from 0 to 23 m/s in 10.5 seconds. What is the angular acceleration of the wheel?

a) 9.52 x 10⁰ m

b) 1.15 x 10¹ m

c) 1.4 x 10¹ m

d) 1.69 x 10¹ m

e) 2.05 x 10¹ m

4) What is the gravitational acceleration on a plant that is 2.21 times more massive than Earth, and a radius that is 1.74 times greater than Earths?

a) 4.1 m/s²

b) 4.7 m/s²

c) 5.4 m/s²

d) 6.2 m/s²

e) 7.2 m/s²

5)

In the figure shown, θ₁ is 18 degrees , and θ₃ is 29 degrees . The mass has a weight of 50 N. What is the tension, T₁?

a) 34.19 N.

b) 39.32 N.

c) 45.21 N.

d) 52 N.

e) 59.79 N.

6)

A massless bar of length, S = 8.6m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 37.6 degrees above the horizontal. An object of mass, M = 7.4kg is suspended at a length, L = 6.2m from the wall. What is the tension, T, in the string?

a) 3.41E+01 N

b) 4.29E+01 N

c) 5.41E+01 N

d) 6.81E+01 N

e) 8.57E+01 N

7)

A massless bar of length, S = 8.9m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 28 degrees above the horizontal. An object of mass, M = 8.7kg is suspended at a length, L = 6.5m from the wall. What is the x (horizontal) component of the force exerted by the wall on the horizontal bar?

a) 9.67E+01 N

b) 1.17E+02 N

c) 1.42E+02 N

d) 1.72E+02 N

e) 2.08E+02 N

8) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 6 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 4 seconds to come to rest. How far did he travel?

a) 17.0 meters

b) 13.0 meters

c) 16.0 meters

d) 14.0 meters

e) 15.0 meters

9)

A 1241 heat cycle uses 1.6 moles of an ideal gas. The pressures and volumes are: P₁= 1.5 kPa, P₂= 3 kPa. The volumes are V₁= 2.4m³ and V₄= 4.5m³. What is the temperature at step 4?

a) 1.6 x 10¹ K

b) 5.07 x 10¹ K

c) 1.6 x 10² K

d) 5.07 x 10² K

e) 1.6 x 10³ K

10) A particle is initially at the origin and moving in the x direction at a speed of 3.7 m/s. It has an constant acceleration of 1.5 m/s² in the y direction, as well as an acceleration of 0.6 in the x direction. What angle does the velocity make with the x axis at time t = 2.1 s?

a) 21.32 degrees.

b) 24.51 degrees.

c) 28.19 degrees.

d) 32.42 degrees.

e) 37.28 degrees.

11)

Is $d\ell =|{\vec {r}}_{2}-{\vec {r}}_{1}|$ valid for uniform circular motion?

a) Yes

b) No

12) A window is square, with a length of each side equal to 0.93 meters. The glass has a thickness of 15 mm. To decrease the heat loss, you reduce the size of the window by decreasing the length of each side by a factor of 1.55. You also increase the thickness of the glass by a factor of 2.54. If the inside and outside temperatures are unchanged, by what factor have you decreased the heat flow?. By what factor have you decreased the heat flow (assuming the same inside and outside temperatures).

a) 4.16 x 10⁰ unit

b) 5.04 x 10⁰ unit

c) 6.1 x 10⁰ unit

d) 7.39 x 10⁰ unit

e) 8.96 x 10⁰ unit

13) A car of mass 856 kg is driving on an icy road at a speed of 19 m/s, when it collides with a stationary truck. After the collision they stick and move at a speed of 4.7 m/s. What was the mass of the truck?

a) 1507 kg

b) 1809 kg

c) 2170 kg

d) 2604 kg

e) 3125 kg

14) A 3 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.27 . In addition to the surface friction, there is also an air drag equal to 7 N. What is the magnitude (absolute value) of the acceleration?

a) 3.8 m/s².

b) 4.3 m/s².

c) 5 m/s².

d) 5.7 m/s².

e) 6.6 m/s².

15) Mr. Smith starts from rest and accelerates to 4 m/s in 3 seconds. How far did he travel?

a) 6.0 meters

b) 3.0 meters

c) 5.0 meters

d) 4.0 meters

e) 7.0 meters

16) A car is headed due north and increasing its speed. It is also turning left because it is also traveling in a perfect circle. The acceleration vector points

a) north

b) south

c) southwest

d) northeast

e) northwest

17) A car is headed due north and decreasing its speed. It is also turning left because it is also traveling in a perfect circle. The acceleration vector points

a) west

b) northwest

c) southwest

d) south

e) southeast

18) A car completes a complete circle of radius 1.2 miles at a speed of 66.2 miles per hour. How many minutes does it take?

a) 3.84 x 10⁰ minutes

b) 5.12 x 10⁰ minutes

c) 6.83 x 10⁰ minutes

d) 9.11 x 10⁰ minutes

e) 1.22 x 10¹ minutes

19) A 7.0 cm diameter pipe can fill a 2.1 m^3 volume in 8.0 minutes. Before exiting the pipe, the diameter is reduced to 1.7 cm (with no loss of flow rate). What is the speed in the first (wider) pipe?

a) 1.14E0 m/s

b) 1.38E0 m/s

c) 1.67E0 m/s

d) 2.02E0 m/s

e) 2.45E0 m/s

20) A car is traveling in a perfect circle at constant speed. If the car is headed north while turning east, the acceleration is

a) zero

b) west

c) north

d) south

e) east

21) Mr. Smith starts at rest and accelerates to a speed of 4 m/s, in 2 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

a) 23.0 meters

b) 21.0 meters

c) 20.0 meters

d) 22.0 meters

e) 19.0 meters

22) A car traveling at 27 mph increases its speed to 29.5 mph in 5.4 seconds. What is the average acceleration?

a) 2.07 x 10^-1 m/s²

b) 3.68 x 10^-1 m/s²

c) 6.54 x 10^-1 m/s²

d) 1.16 x 10⁰ m/s²

e) 2.07 x 10⁰ m/s²

23)

Is $dv=adt$ valid for uniform circular motion?

a) Yes

b) No

24) A lead filled bicycle wheel of radius 0.35 m and mass 2.7 kg is rotating at a frequency of 1.5 revolutions per second. What is the total kinetic energy if the wheel is rotating about a stationary axis?

a) 8.26 x 10⁰ J

b) 1 x 10¹ J

c) 1.21 x 10¹ J

d) 1.47 x 10¹ J

e) 1.78 x 10¹ J

25) If you toss a coin into the air, the velocity on the way up is

a) down

b) zero

c) up

26) A car is headed due north and increasing its speed. It is also turning right because it is also traveling in a perfect circle. The acceleration vector points

a) north

b) south

c) southwest

d) northwest

e) northeast

27) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

a) 24.0 meters

b) 26.0 meters

c) 27.0 meters

d) 23.0 meters

e) 25.0 meters

28) What is the rms speed of a molecule with an atomic mass of 18 if the temperature is 12 degrees Fahrenheit?

a) 2.8 x 10² m/s

b) 3.39 x 10² m/s

c) 4.11 x 10² m/s

d) 4.97 x 10² m/s

e) 6.03 x 10² m/s

29) If a molecule with atomic mass equal to 7 amu has a speed of 399 m/s, what is the speed at an atom in the same atmosphere of a molecule with an atomic mass of 31 ?

a) 8.8 x 10¹ m/s

b) 1.07 x 10² m/s

c) 1.29 x 10² m/s

d) 1.56 x 10² m/s

e) 1.9 x 10² m/s

30)

Is $v/d\ell =r/dv$ valid for uniform circular motion?

a) Yes

b) No

31) A 7.9 cm diameter pipe can fill a 1.5 m^3 volume in 7.0 minutes. Before exiting the pipe, the diameter is reduced to 2.7 cm (with no loss of flow rate). If two fluid elements at the center of the pipe are separated by 28.0 mm when they are both in the wide pipe, and we neglect turbulence, what is the separation when both are in the narrow pipe?

a) 1.35E2 mm

b) 1.63E2 mm

c) 1.98E2 mm

d) 2.40E2 mm

e) 2.90E2 mm

32)

In the figure shown, L₁ = 6.4m, L₂ = 3.4m and L₃ = 7.1m. What is F₂ if F₁ =0.87N and F₃ =0.1N?

a) 1.43E+00 N

b) 1.73E+00 N

c) 2.10E+00 N

d) 2.54E+00 N

e) 3.08E+00 N

33) Without their shoes, members of a 9 person baseball team have a coefficient of static friction of only 0.33 . But the team wins a game of tug of war due to their superior mass of 663 kg. They are playing against a 5 person basketball team with a net mass of 422 kg. What is the maximum coefficient of static friction of the basketball team?

a) 0.39

b) 0.428

c) 0.471

d) 0.518

e) 0.57

34)

In the figure shown, the mass of m₁ is 5.4 kg, and the mass of m₂ is 3.9 kg. If the external force, F_ext on m₂ is 136 N, what is the tension in the connecting string? Assume no friction is present.

a) 79 N

b) 90.8 N

c) 104.4 N

d) 120.1 N

e) 138.1 N

35) The Smith family is having fun on a high speed train travelling at 42.3 m/s. Mrs. Smith, who is at the front of the train, fires straight towards the back with a bullet that is going forward with respect to Earth at a speed of 26.3 m/s. What was the muzzle speed of her bullet?

a) 7.1 m/s.

b) 10.7 m/s.

c) 16 m/s.

d) 24 m/s.

e) 36 m/s.

36)

Is $rd\ell =vdv$ valid for uniform circular motion?

a) Yes

b) No

37) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

a) 8.0 meters

b) 11.0 meters

c) 9.0 meters

d) 10.0 meters

e) 12.0 meters

38)

In the figure shown (with m₁ = 6.5 kg, m₂ = 2.5 kg, and F_ext = 141 N), what is the acceleration? Assume no friction is present.

a) 9 m/s²

b) 10.3 m/s²

c) 11.8 m/s²

d) 13.6 m/s²

e) 15.7 m/s²

39) {The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.68 kg is filled with 0.17 kg of water. What fraction of the heat went into the aluminum?

a) 2.8 x 10^-1

b) 3.3 x 10^-1

c) 3.9 x 10^-1

d) 4.6 x 10^-1

e) 5.5 x 10^-1

40) A cylinder with a radius of 0.38 m and a length of 3.6 m is held so that the top circular face is 4.2 m below the water. The mass of the block is 829.0 kg. The mass density of water is 1000kg/m^3. What is the buoyant force?

a) 1.09E4 N

b) 1.32E4 N

c) 1.60E4 N

d) 1.94E4 N

e) 2.35E4 N

41) The Smith family is having fun on a high speed train travelling at 47.6 m/s. Mr. Smith is at the back of the train and fires a pellet gun with a muzzle speed of 29.7 m/s at Mrs. Smith who is at the front of the train. What is the speed of the bullet with respect to Earth?

a) 22.9 m/s.

b) 34.4 m/s.

c) 51.5 m/s.

d) 77.3 m/s.

e) 116 m/s.

42) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 6 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 4 seconds to come to rest. How far did he travel?

a) 18.0 meters

b) 19.0 meters

c) 20.0 meters

d) 16.0 meters

e) 17.0 meters

43)

Is $d\ell =vdt$ valid for uniform circular motion?

a) Yes

b) No

44) Nine barefoot baseball players, with a total mass of 664 kg plays tug of war against five basketball players wearing shoes that provide a static coefficient of friction of 0.53 . The net mass of the (shoed) basketball team is 418 kg. What is the maximum coefficient of the barefoot boys if they lose?

a) 0.334

b) 0.367

c) 0.404

d) 0.444

e) 0.488

45) A sled of mass 2.2 kg is on perfectly smooth surface. A string pulls with a tension of 17.2N. At what angle above the horizontal must the string pull in order to achieve an accelerations of 3.5 m/s²?

a) 36.3 degrees

b) 41.7 degrees

c) 47.9 degrees

d) 55.1 degrees

e) 63.4 degrees

46) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 2 seconds. He then travels at this speed for an additional 1 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

a) 7.0 meters

b) 8.0 meters

c) 6.0 meters

d) 5.0 meters

e) 9.0 meters

47) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 5.43 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.49 m, and moves at a constant speed of 2.75 m/s in the +y direction. At what time do they meet?

a) 0.26 s.

b) 0.31 s.

c) 0.37 s.

d) 0.44 s.

e) 0.53 s.

48) What is the root-mean-square of -20, 40, and -32?

a) 2.522 x 10¹

b) 2.83 x 10¹

c) 3.175 x 10¹

d) 3.562 x 10¹

e) 3.997 x 10¹

49) A cylinder with a radius of 0.38 m and a length of 2.3 m is held so that the top circular face is 4.5 m below the water. The mass of the block is 909.0 kg. The mass density of water is 1000kg/m^3. What is the pressure at the top face of the cylinder?

a) 2.48E4 Pa

b) 3.00E4 Pa

c) 3.64E4 Pa

d) 4.41E4 Pa

e) 5.34E4 Pa

50) A ball is kicked horizontally from a height of 2.5 m, at a speed of 8.7m/s. How far does it travel before landing?

a) 3.6 m.

b) 4.32 m.

c) 5.18 m.

d) 6.21 m.

e) 7.46 m.

51) A particle accelerates uniformly at 16.75 m/s/s. How long does it take for the velocity to increase from 1210 m/s to 2087 m/s?

a) 52.36 s

b) 62.83 s

c) 75.4 s

d) 90.47 s

e) 108.57 s

52)

In the figure shown, θ₁ is 19 degrees, and θ₃ is 38 degrees. The tension T₃ is 21 N. What is the tension, T₁?

a) 10.01 N.

b) 11.51 N.

c) 13.23 N.

d) 15.22 N.

e) 17.5 N.

53) The mass of the cart is 4.0kg, and the spring constant is 6611N/m. If the initial compression of the spring is 2.00m, how high does it reach before coming to rest?

a) 3.37E+02 m

b) 3.54E+02 m

c) 3.72E+02 m

d) 3.90E+02 m

e) 4.10E+02 m

54) The Smith family is having fun on a high speed train travelling at 47.6 m/s. The daugher fires at Mr. Smith with a pellet gun whose muzzle speed is 21.1 m/s. She was situated across the isle, perpendicular to the length of the train. What is the speed of her bullet with respect to Earth?

a) 52.1 m/s.

b) 78.1 m/s.

c) 117.2 m/s.

d) 175.7 m/s.

e) 263.6 m/s.

55) A car is headed due north and decreasing its speed. It is also turning right because it is also traveling in a perfect circle. The acceleration vector points

a) north

b) south

c) southeast

d) northeast

e) northwest

56) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

a) 3.0 meters

b) 5.0 meters

c) 7.0 meters

d) 6.0 meters

e) 4.0 meters

57)

A 159 gm bullet strikes a ballistic pendulum of mass 2.11 kg (before the bullet struck). After impact, the pendulum rises by 65 cm. What was the speed of the bullet?

a) 39 m/s.

b) 42 m/s.

c) 44 m/s.

d) 48 m/s.

e) 51 m/s.

58) A sled of mass 5.8 kg is at rest on a rough surface. A string pulls with a tension of 42.5N at an angle of 51 degress above the horizontal. What is the normal force?

a) 13.61 N.

b) 15.66 N.

c) 18 N.

d) 20.71 N.

e) 23.81 N.

59)

A 1241 heat cycle uses 2.9 moles of an ideal gas. The pressures and volumes are: P₁= 2.3 kPa, P₂= 4.8 kPa. The volumes are V₁= 2.1m³ and V₄= 3.5m³. How much work is done in in one cycle?

a) 1.75 x 10¹ J

b) 5.53 x 10¹ J

c) 1.75 x 10² J

d) 5.53 x 10² J

e) 1.75 x 10³ J

60) A car is traveling east and slowing down. The acceleration is

a) zero

b) to the west

c) to the east

61) The Smith family got in trouble for having fun on a high speed train travelling at 47.6 m/s. Mr. Smith is charged with having fired a pellet gun at his daughter (directly across the isle) with a bullet that had a speed of 97 m/s with respect to Earth. How fast was the bullet going relative to the daughter (i.e. train)?

a) 40.8 m/s.

b) 48.9 m/s.

c) 58.7 m/s.

d) 70.4 m/s.

e) 84.5 m/s.

62) If you toss a coin into the air, the acceleration while it as its highest point is

a) up

b) down

c) zero

63) You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

a) 1.218 m/s

b) 1.291 m/s

c) 1.368 m/s

d) 1.450 m/s

e) 1.537 m/s

64) A car is headed due north and increasing its speed. It is also turning left because it is also traveling in a perfect circle. The velocity vector points

a) southeast

b) northwest

c) northeast

d) north

e) northeast

65) A sled of mass 5.7 kg is at rest on a perfectly smooth surface. A string pulls with a tension of 41.3N at an angle of 40 degress above the horizontal. How long will it take to reach a speed of 10.3 m/s?

a) 1.4 s

b) 1.61 s

c) 1.86 s

d) 2.13 s

e) 2.45 s

66)

A 1241 heat cycle uses 2.9 moles of an ideal gas. The pressures and volumes are: P₁= 1.3 kPa, P₂= 3.4 kPa. The volumes are V₁= 2.5m³ and V₄= 4.3m³. How much work is involved between 2 and 4?

a) 1.34 x 10² J

b) 4.23 x 10² J

c) 1.34 x 10³ J

d) 4.23 x 10³ J

e) 1.34 x 10⁴ J

67)

Is $adt/v=vdt/r$ valid for uniform circular motion?

a) Yes

b) No

68) If you toss a coin into the air, the velocity while it as its highest point is

a) zero

b) up

c) down

69) The spring constant is 755N/m, and the initial compression is 0.21m. What is the mass if the cart reaches a height of 3.12m, before coming to rest?

a) 0.494 kg

b) 0.519 kg

c) 0.544 kg

d) 0.572 kg

e) 0.600 kg

70) What is the highest point the cart reaches if the speed was 2.2m/s, when the cart was situated at a height of 2.4m?,

a) 1.97 m

b) 2.07 m

c) 2.18 m

d) 2.29 m

e) 2.40 m

71) A merry-go round has a period of 0.26 minutes. What is the minimum coefficient of static friction that would allow a 51.9 kg person to stand1.26 meters from the center, without grabbing something?

a) 0.021

b) 0.024

c) 0.028

d) 0.032

e) 0.036

72) What is the gravitational acceleration on a plant that is 1.23 times more dense than Earth, and a radius that is 2.98 times greater than Earth's?

a) 35.9 m/s²

b) 41.3 m/s²

c) 47.5 m/s²

d) 54.6 m/s²

e) 62.8 m/s²

73) A train accelerates uniformly from 17 m/s to 29.75 m/s, while travelling a distance of 285 m. What is the 'average' acceleration?

a) 0.5m/s/s.

b) 0.61m/s/s.

c) 0.73m/s/s.

d) 0.87m/s/s.

e) 1.05m/s/s.

74) What is the acceleration if a car travelling at 9.75 m/s makes a skid mark that is 8 m long before coming to rest? (Assume uniform acceleration.)

a) 2.87m/s².

b) 3.44m/s².

c) 4.13m/s².

d) 4.95m/s².

e) 5.94m/s².

75)

A 1241 heat cycle uses 2.2 moles of an ideal gas. The pressures and volumes are: P₁= 2.2 kPa, P₂= 3.7 kPa. The volumes are V₁= 1.8m³ and V₄= 4.4m³. How much work is involved between 1 and 4?

a) 1.81 x 10² J

b) 5.72 x 10² J

c) 1.81 x 10³ J

d) 5.72 x 10³ J

e) 1.81 x 10⁴ J

76) A sled of mass 5.9 kg is at rest on a rough surface. A string pulls with a tension of 43.6N at an angle of 38 degress above the horizontal. What is the magnitude of the friction?

a) 19.64 N.

b) 22.59 N.

c) 25.98 N.

d) 29.88 N.

e) 34.36 N.

77) A car is traveling west and slowing down. The acceleration is

a) to the east

b) to the west

c) zero

78)

Is $d\ell =|{\vec {r}}_{2}|-|{\vec {r}}_{1}|$ valid for uniform circular motion?

a) Yes

b) No

79)

Is $dv/d\ell =v/r$ valid for uniform circular motion?

a) Yes

b) No

80) A large cylinder is filled with water so that the bottom is 7.8 m below the waterline. At the bottom is a small hole with a diameter of 5.4E-4 m. How fast is the water flowing at the hole? (Neglect viscous effects, turbulence, and also assume that the hole is so small that no significant motion occurs at the top of the cylinder.)

a) 8.42E0 m/s

b) 1.02E1 m/s

c) 1.24E1 m/s

d) 1.50E1 m/s

e) 1.81E1 m/s

81) A cylinder with a radius of 0.28 m and a length of 2.9 m is held so that the top circular face is 4.6 m below the water. The mass of the block is 880.0 kg. The mass density of water is 1000kg/m^3. What is the force exerted by the fluid on the bottom of the cylinder?

a) 1.14E4 Pa

b) 1.44E4 Pa

c) 1.81E4 Pa

d) 2.28E4 Pa

e) 2.87E4 Pa

82) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.82 kg is filled with 0.11 kg of water. How much heat does it take to raise both from 20.2 C to 96.9 C?

a) 6.62 x 10⁴ J

b) 7.8 x 10⁴ J

c) 9.19 x 10⁴ J

d) 1.08 x 10⁵ J

e) 1.28 x 10⁵ J

83) A merry-go-round has an angular frequency, $\omega$, equal to 0.174 rad/sec. How many minutes does it take to complete 12.5 revolutions?

a) 5.69 minutes.

b) 6.54 minutes.

c) 7.52 minutes.

d) 8.65 minutes.

e) 9.95 minutes.

84) A mass with weight (mg) of 42 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 46 degrees. What is the tension in the string?

a) 15 N.

b) 17.3 N.

c) 19.8 N.

d) 22.8 N.

e) 26.2 N.

85) The cart has a mass of 37.20kg. It is moving at a speed of 2.40m/s, when it is at a height of 3.15m. If the spring constant was 596N/m, what was the initial compression?

a) 1.79 m

b) 1.92 m

c) 2.05 m

d) 2.20 m

e) 2.35 m

86)

A massless bar of length, S = 8.6m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 35.8 degrees above the horizontal. An object of mass, M = 7.3kg is suspended at a length, L =4.4m from the wall. What is the y (vertical) component of the force exerted by the wall on the horizontal bar?

a) 1.96E+01 N

b) 2.38E+01 N

c) 2.88E+01 N

d) 3.49E+01 N

e) 4.23E+01 N

87) A merry-go round has a period of 0.22 minutes. What is the centripetal force on a 96.9 kg person who is standing 1.95 meters from the center?

a) 32.4 newtons.

b) 37.2 newtons.

c) 42.8 newtons.

d) 49.2 newtons.

e) 56.6 newtons.

88) Mr. Smith starts from rest and accelerates to 4 m/s in 5 seconds. How far did he travel?

a) 9.0 meters

b) 11.0 meters

c) 7.0 meters

d) 8.0 meters

e) 10.0 meters

89) Mr. Smith is driving at a speed of 5 m/s, when he slows down to a speed of 4 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

a) 12.0 meters

b) 9.0 meters

c) 11.0 meters

d) 10.0 meters

e) 8.0 meters

90) On object of mass 2.3 kg that is moving at a velocity of 22m/s collides with a stationary object of mass 19.36 kg. What is the final velocity if they stick? (Assume no external friction.)

a) 1.62m/s.

b) 1.95m/s.

c) 2.34m/s.

d) 2.8m/s.

e) 3.36m/s.

91)

Is $d\ell /dv=v/r$ valid for uniform circular motion?

a) Yes

b) No

92) Mr. Smith starts from rest and accelerates to 3 m/s in 2 seconds. How far did he travel?

a) 1.0 meters

b) 5.0 meters

c) 2.0 meters

d) 4.0 meters

e) 3.0 meters

93) If you toss a coin into the air, the velocity on the way down is

a) down

b) up

c) zero

94) A car traveling at 34.5 miles/hour stops in 1.7 seconds. What is the average acceleration?

a) 9.07 x 10^-1 m/s²

b) 1.61 x 10⁰ m/s²

c) 2.87 x 10⁰ m/s²

d) 5.1 x 10⁰ m/s²

e) 9.07 x 10⁰ m/s²

95) A car is accelerating uniformly at an acceleration of 4.05m/s/s. At x = 4m, the speed is 4.8m/s. How fast is it moving at x = 12.5 m?

a) 6.66 m/s.

b) 7.99 m/s.

c) 9.59 m/s.

d) 11.5 m/s.

e) 13.8 m/s.

96)

rilght

In the figure shown, θ is 32 degrees, and the mass is 2.8 kg. What is T₁?

a) 21.2 N.

b) 25.4 N.

c) 30.5 N.

d) 36.6 N.

e) 43.9 N.

97)

Is $dv=|{\vec {v}}_{2}-{\vec {v}}_{1}|$ valid for uniform circular motion?

a) Yes

b) No

98) As the Moon circles Earth, the acceleration of the Moon is

a) in the same direction as the Moon's velocity

b) towards Earth

c) zero

d) away from Earth

e) opposite the direction of the Moon's velocity

99)

Is $dv/r=d\ell /v$ valid for uniform circular motion?

a) Yes

b) No

100)

Is $|d{\vec {v}}|=adt$ valid for uniform circular motion?

a) Yes

b) No

101)

Is $dv/d\ell =r/v$ valid for uniform circular motion?

a) Yes

b) No

102) A car is traveling east and speeding up. The acceleration is

a) zero

b) to the east

c) to the west

103) A cylinder with a radius of 0.38 m and a length of 2.3 m is held so that the top circular face is 4.5 m below the water. The mass of the block is 909.0 kg. The mass density of water is 1000kg/m^3. What is the force exerted by the water at the top surface?

a) 1.59E4 N

b) 2.00E4 N

c) 2.52E4 N

d) 3.17E4 N

e) 3.99E4 N

104) If you toss a coin into the air, the acceleration on the way down is

a) up

b) zero

c) down

105) A car is traveling in a perfect circle at constant speed. If the car is headed north while turning west, the acceleration is

a) east

b) zero

c) west

d) south

e) north

106)

In the figure shown, L₁ = 6.4m, L₂ = 3.5m and L₃ = 7.3m. What is F₁ if F₂ =8.8N and F₃ =5.9N?

a) 9.53E+00 N

b) 1.15E+01 N

c) 1.40E+01 N

d) 1.69E+01 N

e) 2.05E+01 N

107) Mr. Smith is driving at a speed of 4 m/s, when he slows down to a speed of 1 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

a) 11.0 meters

b) 9.0 meters

c) 7.0 meters

d) 8.0 meters

e) 10.0 meters

108)

Is $dv=|{\vec {v}}_{2}|-|{\vec {v}}_{1}|$ valid for uniform circular motion?

a) Yes

b) No

109)

rilght

In the figure shown, θ is 33 degrees, and the mass is 3.7 kg. What is T₂?

a) 66.58 N.

b) 76.56 N.

c) 88.05 N.

d) 101.25 N.

e) 116.44 N.

110)

The moment of inertia of a solid disk of mass, M, and radius, R, is ½ MR². Two identical disks, each with mass 3 kg are attached. The larger disk has a diameter of 0.92 m, and the smaller disk has a diameter of 0.48 m. If a force of 70 N is applied at the rim of the smaller disk, what is the angular acceleration?

a) 2.83 x 10¹ s^-2

b) 3.43 x 10¹ s^-2

c) 4.16 x 10¹ s^-2

d) 5.04 x 10¹ s^-2

e) 6.11 x 10¹ s^-2

111) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.61 kg is filled with 0.21 kg of water. You are consulting for the flat earth society, a group of people who believe that the acceleration of gravity equals 9.8 m/s/s at all altitudes. Based on this assumption, from what height must the water and container be dropped to achieve the same change in temperature? (For comparison, Earth's radius is 6,371 kilometers)

a) 6.33 x 10⁰ km

b) 7.66 x 10⁰ km

c) 9.29 x 10⁰ km

d) 1.13 x 10¹ km

e) 1.36 x 10¹ km

112) A mass with weight (mg) equal to 34 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 14 degrees with respect to the horizontal. What is the tension in each string?

a) 61.1 N.

b) 70.3 N.

c) 80.8 N.

d) 92.9 N.

e) 106.9 N.

113) If the initial velocity after leaving the spring is 6.50 m/s, how high does it reach before coming to rest?

a) 1.96 m

b) 2.05 m

c) 2.16 m

d) 2.26 m

e) 2.38 m

114) Mr. Smith is backing his car at a speed of 2.33 mph when he hits a cornfield (seed corn). In the course of 1.22 seconds he stops, puts his car in forward drive, and exits the field at a speed of 6.68 mph. What was the magnitude ( absolute value) of his acceleration?

a) 2.94 x 10⁰ miles per hour per second

b) 3.7 x 10⁰ miles per hour per second

c) 4.66 x 10⁰ miles per hour per second

d) 5.87 x 10⁰ miles per hour per second

e) 7.39 x 10⁰ miles per hour per second

115) A mass with weight (mg) 6.8 newtons is on a horzontal surface. It is being pulled on by a string at an angle of 30 degrees above the horizontal, with a force equal to 2.5 newtons. If this is the maximum force before the block starts to move, what is the static coefficient of friction?

a) 0.19

b) 0.23

c) 0.27

d) 0.33

e) 0.39

116) If you toss a coin into the air, the acceleration on the way up is

a) down

b) zero

c) up

117) In the figure "3 tensions" shown above θ₁ is 15 degrees, and θ₃ is 36 degrees. The tension T₃ is 39 N. What is the weight?

a) 23.7 N.

b) 27.3 N.

c) 31.4 N.

d) 36.1 N.

e) 41.5 N.

118) When a table cloth is quickly pulled out from under dishes, they hardly move. This is because

a) the cloth is accelerating for such a brief time that there is little motion

b) objects don't begin to accelerate until after the force has been applied

c) the cloth is more slippery when it is pulled quickly

119) A car is headed due north and increasing its speed. It is also turning right because it is also traveling in a perfect circle. The velocity vector points

a) south

b) southwest

c) northeast

d) north

e) northwest

120) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 6.27 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.38 m, and moves at a constant speed of 2.94 m/s in the +y direction. What is the value of θ (in radians)?

a) 0.42 radians.

b) 0.49 radians.

c) 0.56 radians.

d) 0.65 radians.

e) 0.74 radians.

121) A lead filled bicycle wheel of radius 0.43 m and mass 2.2 kg is rotating at a frequency of 1.1 revolutions per second. What is the moment of inertia?

a) 1.89 x 10^-1 kg m²/s²

b) 2.29 x 10^-1 kg m²/s²

c) 2.77 x 10^-1 kg m²/s²

d) 3.36 x 10^-1 kg m²/s²

e) 4.07 x 10^-1 kg m²/s²

All C0

1) A car traveling at 54 miles/hour stops in 5.2 seconds. What is the average acceleration?

a) 4.64 x 10⁰ m/s²

b) 8.26 x 10⁰ m/s²

c) 1.47 x 10¹ m/s²

d) 2.61 x 10¹ m/s²

e) 4.64 x 10¹ m/s²

2) A car completes a complete circle of radius 2.2 miles at a speed of 63.6 miles per hour. How many minutes does it take?

a) 9.78 x 10⁰ minutes

b) 1.3 x 10¹ minutes

c) 1.74 x 10¹ minutes

d) 2.32 x 10¹ minutes

e) 3.09 x 10¹ minutes

3) A car traveling at 27 mph increases its speed to 29.5 mph in 5.4 seconds. What is the average acceleration?

a) 2.07 x 10^-1 m/s²

b) 3.68 x 10^-1 m/s²

c) 6.54 x 10^-1 m/s²

d) 1.16 x 10⁰ m/s²

e) 2.07 x 10⁰ m/s²

4) Mr. Smith is backing his car at a speed of 3.06 mph when he hits a cornfield (seed corn). In the course of 1.29 seconds he stops, puts his car in forward drive, and exits the field at a speed of 5.6 mph. What was the magnitude ( absolute value) of his acceleration?

a) 3.36 x 10⁰ miles per hour per second

b) 4.24 x 10⁰ miles per hour per second

c) 5.33 x 10⁰ miles per hour per second

d) 6.71 x 10⁰ miles per hour per second

e) 8.45 x 10⁰ miles per hour per second

5) A car is accelerating uniformly at an acceleration of 3.6m/s/s. At x = 7.5m, the speed is 4.7m/s. How fast is it moving at x = 11.5 m?

a) 4.95 m/s.

b) 5.94 m/s.

c) 7.13 m/s.

d) 8.56 m/s.

e) 10.27 m/s.

6) What is the acceleration if a car travelling at 8.45 m/s makes a skid mark that is 8.5 m long before coming to rest? (Assume uniform acceleration.)

a) 2.43m/s².

b) 2.92m/s².

c) 3.5m/s².

d) 4.2m/s².

e) 5.04m/s².

7) A train accelerates uniformly from 12.75 m/s to 33.125 m/s, while travelling a distance of 272 m. What is the 'average' acceleration?

a) 0.99m/s/s.

b) 1.19m/s/s.

c) 1.43m/s/s.

d) 1.72m/s/s.

e) 2.06m/s/s.

8) A particle accelerates uniformly at 13 m/s/s. How long does it take for the velocity to increase from 1024 m/s to 1888 m/s?

a) 46.15 s

b) 55.38 s

c) 66.46 s

d) 79.75 s

e) 95.7 s

9) Mr. Smith starts from rest and accelerates to 4 m/s in 3 seconds. How far did he travel?

a) 7.0 meters

b) 5.0 meters

c) 4.0 meters

d) 6.0 meters

e) 3.0 meters

10) Mr. Smith starts from rest and accelerates to 4 m/s in 5 seconds. How far did he travel?

a) 11.0 meters

b) 7.0 meters

c) 9.0 meters

d) 8.0 meters

e) 10.0 meters

11) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

a) 8.0 meters

b) 12.0 meters

c) 9.0 meters

d) 11.0 meters

e) 10.0 meters

12) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 2 seconds. He then travels at this speed for an additional 1 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

a) 6.0 meters

b) 5.0 meters

c) 8.0 meters

d) 7.0 meters

e) 9.0 meters

13) Mr. Smith is driving at a speed of 4 m/s, when he slows down to a speed of 1 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

a) 11.0 meters

b) 7.0 meters

c) 8.0 meters

d) 9.0 meters

e) 10.0 meters

14) Mr. Smith starts at rest and accelerates to a speed of 4 m/s, in 2 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

a) 21.0 meters

b) 19.0 meters

c) 22.0 meters

d) 23.0 meters

e) 20.0 meters

15) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

a) 7.0 meters

b) 6.0 meters

c) 4.0 meters

d) 3.0 meters

e) 5.0 meters

16) Mr. Smith is driving at a speed of 5 m/s, when he slows down to a speed of 4 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

a) 10.0 meters

b) 11.0 meters

c) 12.0 meters

d) 8.0 meters

e) 9.0 meters

17) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 6 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 4 seconds to come to rest. How far did he travel?

a) 20.0 meters

b) 17.0 meters

c) 18.0 meters

d) 19.0 meters

e) 16.0 meters

18) Mr. Smith starts from rest and accelerates to 3 m/s in 2 seconds. How far did he travel?

a) 1.0 meters

b) 3.0 meters

c) 5.0 meters

d) 4.0 meters

e) 2.0 meters

19) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

a) 23.0 meters

b) 25.0 meters

c) 26.0 meters

d) 24.0 meters

e) 27.0 meters

20) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 6 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 4 seconds to come to rest. How far did he travel?

a) 13.0 meters

b) 16.0 meters

c) 14.0 meters

d) 15.0 meters

e) 17.0 meters

21) A ball is kicked horizontally from a height of 3 m, at a speed of 7.6m/s. How far does it travel before landing?

a) 2.87 m.

b) 3.44 m.

c) 4.13 m.

d) 4.96 m.

e) 5.95 m.

22) A particle is initially at the origin and moving in the x direction at a speed of 4.1 m/s. It has an constant acceleration of 2.3 m/s² in the y direction, as well as an acceleration of 0.5 in the x direction. What angle does the velocity make with the x axis at time t = 2.7 s?

a) 32.04 degrees.

b) 36.85 degrees.

c) 42.37 degrees.

d) 48.73 degrees.

e) 56.04 degrees.

23) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 7.34 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.22 m, and moves at a constant speed of 2.91 m/s in the +y direction. At what time do they meet?

a) 0.23 s.

b) 0.27 s.

c) 0.33 s.

d) 0.4 s.

e) 0.47 s.

24) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 8.61 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.5 m, and moves at a constant speed of 2.43 m/s in the +y direction. What is the value of θ (in radians)?

a) 0.16 radians.

b) 0.19 radians.

c) 0.22 radians.

d) 0.25 radians.

e) 0.29 radians.

25) The Smith family is having fun on a high speed train travelling at 47.6 m/s. Mr. Smith is at the back of the train and fires a pellet gun with a muzzle speed of 23.3 m/s at Mrs. Smith who is at the front of the train. What is the speed of the bullet with respect to Earth?

a) 70.9 m/s.

b) 106.4 m/s.

c) 159.5 m/s.

d) 239.3 m/s.

e) 358.9 m/s.

26) The Smith family is having fun on a high speed train travelling at 48.4 m/s. Mrs. Smith, who is at the front of the train, fires straight towards the back with a bullet that is going forward with respect to Earth at a speed of 29 m/s. What was the muzzle speed of her bullet?

a) 8.6 m/s.

b) 12.9 m/s.

c) 19.4 m/s.

d) 29.1 m/s.

e) 43.7 m/s.

27) The Smith family is having fun on a high speed train travelling at 48.1 m/s. The daugher fires at Mr. Smith with a pellet gun whose muzzle speed is 27.7 m/s. She was situated across the isle, perpendicular to the length of the train. What is the speed of her bullet with respect to Earth?

a) 16.4 m/s.

b) 24.7 m/s.

c) 37 m/s.

d) 55.5 m/s.

e) 83.3 m/s.

28) The Smith family got in trouble for having fun on a high speed train travelling at 47.6 m/s. Mr. Smith is charged with having fired a pellet gun at his daughter (directly across the isle) with a bullet that had a speed of 88.1 m/s with respect to Earth. How fast was the bullet going relative to the daughter (i.e. train)?

a) 35.8 m/s.

b) 42.9 m/s.

c) 51.5 m/s.

d) 61.8 m/s.

e) 74.1 m/s.

29) When a table cloth is quickly pulled out from under dishes, they hardly move. This is because

a) the cloth is accelerating for such a brief time that there is little motion

b) objects don't begin to accelerate until after the force has been applied

c) the cloth is more slippery when it is pulled quickly

30) If you toss a coin into the air, the acceleration while it as its highest point is

a) zero

b) up

c) down

31) If you toss a coin into the air, the velocity on the way up is

a) up

b) down

c) zero

32) If you toss a coin into the air, the velocity on the way down is

a) up

b) down

c) zero

33) If you toss a coin into the air, the velocity while it as its highest point is

a) zero

b) up

c) down

34) A car is headed due north and increasing its speed. It is also turning left because it is also traveling in a perfect circle. The acceleration vector points

a) northwest

b) southwest

c) south

d) north

e) northeast

35) A car is headed due north and increasing its speed. It is also turning right because it is also traveling in a perfect circle. The acceleration vector points

a) north

b) northeast

c) southwest

d) northwest

e) south

36) A car is headed due north and increasing its speed. It is also turning left because it is also traveling in a perfect circle. The velocity vector points

a) southeast

b) north

c) northwest

d) northeast

e) northeast

37) A car is headed due north and increasing its speed. It is also turning right because it is also traveling in a perfect circle. The velocity vector points

a) south

b) northeast

c) northwest

d) north

e) southwest

38) A car is headed due north and decreasing its speed. It is also turning left because it is also traveling in a perfect circle. The acceleration vector points

a) west

b) south

c) southeast

d) southwest

e) northwest

39) A car is headed due north and decreasing its speed. It is also turning right because it is also traveling in a perfect circle. The acceleration vector points

a) south

b) southeast

c) northeast

d) north

e) northwest

40) A car is traveling west and slowing down. The acceleration is

a) to the east

b) zero

c) to the west

41) A car is traveling east and slowing down. The acceleration is

a) zero

b) to the east

c) to the west

42) A car is traveling east and speeding up. The acceleration is

a) zero

b) to the east

c) to the west

43) If you toss a coin into the air, the acceleration on the way up is

a) up

b) down

c) zero

44) A car is traveling in a perfect circle at constant speed. If the car is headed north while turning west, the acceleration is

a) south

b) east

c) north

d) zero

e) west

45) A car is traveling in a perfect circle at constant speed. If the car is headed north while turning east, the acceleration is

a) south

b) zero

c) west

d) north

e) east

46) As the Moon circles Earth, the acceleration of the Moon is

a) zero

b) opposite the direction of the Moon's velocity

c) in the same direction as the Moon's velocity

d) away from Earth

e) towards Earth

47) If you toss a coin into the air, the acceleration on the way down is

a) down

b) zero

c) up

48) A mass with weight (mg) of 42 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 46 degrees. What is the tension in the string?

a) 15 N.

b) 17.3 N.

c) 19.8 N.

d) 22.8 N.

e) 26.2 N.

49) A mass with weight (mg) equal to 42 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 26 degrees with respect to the horizontal. What is the tension in each string?

a) 27.4 N.

b) 31.5 N.

c) 36.2 N.

d) 41.7 N.

e) 47.9 N.

50) A 3 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.27 . In addition to the surface friction, there is also an air drag equal to 7 N. What is the magnitude (absolute value) of the acceleration?

a) 3.8 m/s².

b) 4.3 m/s².

c) 5 m/s².

d) 5.7 m/s².

e) 6.6 m/s².

51) A mass with weight (mg) 11 newtons is on a horzontal surface. It is being pulled on by a string at an angle of 30 degrees above the horizontal, with a force equal to 2.77 newtons. If this is the maximum force before the block starts to move, what is the static coefficient of friction?

a) 0.12

b) 0.14

c) 0.17

d) 0.21

e) 0.25

52) A sled of mass 5.1 kg is at rest on a rough surface. A string pulls with a tension of 48N at an angle of 48 degress above the horizontal. What is the magnitude of the friction?

a) 24.29 N.

b) 27.93 N.

c) 32.12 N.

d) 36.94 N.

e) 42.48 N.

53) A sled of mass 5.7 kg is at rest on a rough surface. A string pulls with a tension of 40.1N at an angle of 42 degress above the horizontal. What is the normal force?

a) 29.03 N.

b) 33.38 N.

c) 38.39 N.

d) 44.15 N.

e) 50.77 N.

54) A sled of mass 5.2 kg is at rest on a perfectly smooth surface. A string pulls with a tension of 41.3N at an angle of 55 degress above the horizontal. How long will it take to reach a speed of 9.8 m/s?

a) 1.87 s

b) 2.15 s

c) 2.47 s

d) 2.85 s

e) 3.27 s

55) A sled of mass 2 kg is on perfectly smooth surface. A string pulls with a tension of 17.4N. At what angle above the horizontal must the string pull in order to achieve an accelerations of 2.9 m/s²?

a) 53.3 degrees

b) 61.3 degrees

c) 70.5 degrees

d) 81.1 degrees

e) 93.3 degrees

56)

In the figure shown, θ₁ is 15 degrees, and θ₃ is 37 degrees. The tension T₃ is 22 N. What is the tension, T₁?

a) 11.96 N.

b) 13.75 N.

c) 15.82 N.

d) 18.19 N.

e) 20.92 N.

57)

In the figure shown, θ₁ is 15 degrees, and θ₃ is 37 degrees. The tension T₃ is 22 N. What is the weight?

a) 13.6 N.

b) 15.6 N.

c) 17.9 N.

d) 20.6 N.

e) 23.7 N.

58)

rilght

In the figure shown, θ is 36 degrees, and the mass is 3.1 kg. What is T₂?

a) 39.08 N.

b) 44.94 N.

c) 51.69 N.

d) 59.44 N.

e) 68.35 N.

59)

rilght

In the figure shown, θ is 28 degrees, and the mass is 2.9 kg. What is T₁?

a) 30.9 N.

b) 37.1 N.

c) 44.5 N.

d) 53.5 N.

e) 64.1 N.

60)

In the figure shown, θ₁ is 17 degrees , and θ₃ is 39 degrees . The mass has a weight of 42 N. What is the tension, T₁?

a) 34.24 N.

b) 39.37 N.

c) 45.28 N.

d) 52.07 N.

e) 59.88 N.

61)

In the figure shown, the mass of m₁ is 6.5 kg, and the mass of m₂ is 2.5 kg. If the external force, F_ext on m₂ is 141 N, what is the tension in the connecting string? Assume no friction is present.

a) 58.2 N

b) 67 N

c) 77 N

d) 88.6 N

e) 101.8 N

62)

In the figure shown (with m₁ = 5.4 kg, m₂ = 3.9 kg, and F_ext = 136 N), what is the acceleration? Assume no friction is present.

a) 12.7 m/s²

b) 14.6 m/s²

c) 16.8 m/s²

d) 19.3 m/s²

e) 22.2 m/s²

63) Nine barefoot baseball players, with a total mass of 679 kg plays tug of war against five basketball players wearing shoes that provide a static coefficient of friction of 0.61 . The net mass of the (shoed) basketball team is 380 kg. What is the maximum coefficient of the barefoot boys if they lose?

a) 0.31

b) 0.341

c) 0.376

d) 0.413

e) 0.454

64) Without their shoes, members of a 9 person baseball team have a coefficient of static friction of only 0.36 . But the team wins a game of tug of war due to their superior mass of 683 kg. They are playing against a 5 person basketball team with a net mass of 406 kg. What is the maximum coefficient of static friction of the basketball team?

a) 0.455

b) 0.501

c) 0.551

d) 0.606

e) 0.666

65)

In the figure shown, the mass of m₁ is 6.5 kg, and the mass of m₂ is 2.9 kg. If the external force, F_ext on m₂ is 132 N, what is the tension in the connecting string? Assume that m₁ has a kinetic coefficient of friction equal to 0.37, and that for m₂ the coefficient is 0.48 .

a) 89.1 N

b) 102.5 N

c) 117.9 N

d) 135.5 N

e) 155.9 N

66) A merry-go-round has an angular frequency, $\omega$, equal to 0.192 rad/sec. How many minutes does it take to complete 8.5 revolutions?

a) 3.05 minutes.

b) 3.51 minutes.

c) 4.03 minutes.

d) 4.64 minutes.

e) 5.33 minutes.

67) A merry-go round has a period of 0.22 minutes. What is the centripetal force on a 96.9 kg person who is standing 1.95 meters from the center?

a) 32.4 newtons.

b) 37.2 newtons.

c) 42.8 newtons.

d) 49.2 newtons.

e) 56.6 newtons.

68) A merry-go round has a period of 0.36 minutes. What is the minimum coefficient of static friction that would allow a 67.1 kg person to stand1.19 meters from the center, without grabbing something?

a) 0.006

b) 0.007

c) 0.008

d) 0.009

e) 0.01

69) What is the gravitational acceleration on a plant that is 2.13 times more massive than Earth, and a radius that is 1.31 times greater than Earths?

a) 8 m/s²

b) 9.2 m/s²

c) 10.6 m/s²

d) 12.2 m/s²

e) 14 m/s²

70) What is the gravitational acceleration on a plant that is 1.23 times more dense than Earth, and a radius that is 2.98 times greater than Earth's?

a) 35.9 m/s²

b) 41.3 m/s²

c) 47.5 m/s²

d) 54.6 m/s²

e) 62.8 m/s²

71)

Is $dv/d\ell =v/r$ valid for uniform circular motion?

a) Yes

b) No

72)

Is $dv/r=d\ell /v$ valid for uniform circular motion?

a) Yes

b) No

73)

Is $rd\ell =vdv$ valid for uniform circular motion?

a) Yes

b) No

74)

Is $dv=|{\vec {v}}_{2}|-|{\vec {v}}_{1}|$ valid for uniform circular motion?

a) Yes

b) No

75)

Is $d\ell /dv=v/r$ valid for uniform circular motion?

a) Yes

b) No

76)

Is $dv/d\ell =r/v$ valid for uniform circular motion?

a) Yes

b) No

77)

Is $dv=|{\vec {v}}_{2}-{\vec {v}}_{1}|$ valid for uniform circular motion?

a) Yes

b) No

78)

Is $d\ell =vdt$ valid for uniform circular motion?

a) Yes

b) No

79)

Is $adt/v=vdt/r$ valid for uniform circular motion?

a) Yes

b) No

80)

Is $dv=adt$ valid for uniform circular motion?

a) Yes

b) No

81)

Is $|d{\vec {v}}|=adt$ valid for uniform circular motion?

a) Yes

b) No

82)

Is $d\ell =|{\vec {r}}_{2}-{\vec {r}}_{1}|$ valid for uniform circular motion?

a) Yes

b) No

83)

Is $d\ell =|{\vec {r}}_{2}|-|{\vec {r}}_{1}|$ valid for uniform circular motion?

a) Yes

b) No

84)

Is $v/d\ell =r/dv$ valid for uniform circular motion?

a) Yes

b) No

85) If the initial velocity after leaving the spring is 8.80 m/s, how high does it reach before coming to rest?

a) 3.58 m

b) 3.76 m

c) 3.95 m

d) 4.15 m

e) 4.36 m

86) The mass of the cart is 4.0kg, and the spring constant is 9397N/m. If the initial compression of the spring is 4.00m, how high does it reach before coming to rest?

a) 1.92E+03 m

b) 2.01E+03 m

c) 2.11E+03 m

d) 2.22E+03 m

e) 2.33E+03 m

87) What is the highest point the cart reaches if the speed was 1.4m/s, when the cart was situated at a height of 2.7m?,

a) 2.70 m

b) 2.84 m

c) 2.98 m

d) 3.13 m

e) 3.28 m

88) The spring constant is 630N/m, and the initial compression is 0.25m. What is the mass if the cart reaches a height of 1.26m, before coming to rest?

a) 1.312 kg

b) 1.377 kg

c) 1.446 kg

d) 1.518 kg

e) 1.594 kg

89) The cart has a mass of 36.30kg. It is moving at a speed of 2.10m/s, when it is at a height of 3.33m. If the spring constant was 677N/m, what was the initial compression?

a) 1.69 m

b) 1.81 m

c) 1.93 m

d) 2.07 m

e) 2.21 m

90) You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

a) 1.149 m/s

b) 1.218 m/s

c) 1.291 m/s

d) 1.368 m/s

e) 1.450 m/s

91) On object of mass 2.3 kg that is moving at a velocity of 22m/s collides with a stationary object of mass 19.8 kg. What is the final velocity if they stick? (Assume no external friction.)

a) 1.32m/s.

b) 1.59m/s.

c) 1.91m/s.

d) 2.29m/s.

e) 2.75m/s.

92) A car of mass 863 kg is driving on an icy road at a speed of 25 m/s, when it collides with a stationary truck. After the collision they stick and move at a speed of 5.7 m/s. What was the mass of the truck?

a) 2435 kg

b) 2922 kg

c) 3507 kg

d) 4208 kg

e) 5049 kg

93)

A 167 gm bullet strikes a ballistic pendulum of mass 2.28 kg (before the bullet struck). After impact, the pendulum rises by 65 cm. What was the speed of the bullet?

a) 43 m/s.

b) 46 m/s.

c) 49 m/s.

d) 52 m/s.

e) 56 m/s.

94)

A massless bar of length, S = 8.1m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 32 degrees above the horizontal. An object of mass, M = 4.6kg is suspended at a length, L = 4.3m from the wall. What is the tension, T, in the string?

a) 1.80E+01 N

b) 2.26E+01 N

c) 2.85E+01 N

d) 3.59E+01 N

e) 4.52E+01 N

95)

In the figure shown, L₁ = 5.9m, L₂ = 3.1m and L₃ = 7.4m. What is F₁ if F₂ =9.1N and F₃ =5.9N?

a) 8.30E+00 N

b) 1.01E+01 N

c) 1.22E+01 N

d) 1.48E+01 N

e) 1.79E+01 N

96)

A massless bar of length, S = 7.9m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 37.7 degrees above the horizontal. An object of mass, M = 4.1kg is suspended at a length, L = 6.1m from the wall. What is the x (horizontal) component of the force exerted by the wall on the horizontal bar?

a) 3.31E+01 N

b) 4.01E+01 N

c) 4.86E+01 N

d) 5.89E+01 N

e) 7.14E+01 N

97)

In the figure shown, L₁ = 5.1m, L₂ = 4.8m and L₃ = 7.4m. What is F₂ if F₁ =0.56N and F₃ =0N?

a) 4.91E-01 N

b) 5.95E-01 N

c) 7.21E-01 N

d) 8.73E-01 N

e) 1.06E+00 N

98)

A massless bar of length, S = 9.8m is attached to a wall by a frictionless hinge (shown as a circle). The bar is held horizontal by a string that makes and angle θ = 27.4 degrees above the horizontal. An object of mass, M = 7.1kg is suspended at a length, L =5.2m from the wall. What is the y (vertical) component of the force exerted by the wall on the horizontal bar?

a) 2.70E+01 N

b) 3.27E+01 N

c) 3.96E+01 N

d) 4.79E+01 N

e) 5.81E+01 N

99) A car with a tire radius of 0.21 m accelerates from 0 to 26 m/s in 9.1 seconds. What is the angular acceleration of the wheel?

a) 7.65 x 10⁰ m

b) 9.27 x 10⁰ m

c) 1.12 x 10¹ m

d) 1.36 x 10¹ m

e) 1.65 x 10¹ m

100) A lead filled bicycle wheel of radius 0.35 m and mass 2.3 kg is rotating at a frequency of 1.1 revolutions per second. What is the moment of inertia?

a) 2.82 x 10^-1 kg m²/s²

b) 3.41 x 10^-1 kg m²/s²

c) 4.14 x 10^-1 kg m²/s²

d) 5.01 x 10^-1 kg m²/s²

e) 6.07 x 10^-1 kg m²/s²

101) A lead filled bicycle wheel of radius 0.41 m and mass 2.9 kg is rotating at a frequency of 1.7 revolutions per second. What is the total kinetic energy if the wheel is rolling about a stationary axis?

a) 2.78 x 10¹ J

b) 3.37 x 10¹ J

c) 4.08 x 10¹ J

d) 4.95 x 10¹ J

e) 5.99 x 10¹ J

102)

The moment of inertia of a solid disk of mass, M, and radius, R, is ½ MR². Two identical disks, each with mass 8.1 kg are attached. The larger disk has a diameter of 0.99 m, and the smaller disk has a diameter of 0.63 m. If a force of 87 N is applied at the rim of the smaller disk, what is the angular acceleration?

a) 9.12 x 10⁰ s^-2

b) 1.11 x 10¹ s^-2

c) 1.34 x 10¹ s^-2

d) 1.62 x 10¹ s^-2

e) 1.97 x 10¹ s^-2

103) A cylinder with a radius of 0.31 m and a length of 3.5 m is held so that the top circular face is 4.8 m below the water. The mass of the block is 933.0 kg. The mass density of water is 1000kg/m^3. What is the pressure at the top face of the cylinder?

a) 3.88E4 Pa

b) 4.70E4 Pa

c) 5.70E4 Pa

d) 6.90E4 Pa

e) 8.37E4 Pa

104) A cylinder with a radius of 0.31 m and a length of 3.5 m is held so that the top circular face is 4.8 m below the water. The mass of the block is 933.0 kg. The mass density of water is 1000kg/m^3. What is the buoyant force?

a) 5.82E3 N

b) 7.06E3 N

c) 8.55E3 N

d) 1.04E4 N

e) 1.25E4 N

105) A cylinder with a radius of 0.38 m and a length of 2.2 m is held so that the top circular face is 3.8 m below the water. The mass of the block is 903.0 kg. The mass density of water is 1000kg/m^3. What is the force exerted by the water at the top surface?

a) 1.07E4 N

b) 1.34E4 N

c) 1.69E4 N

d) 2.13E4 N

e) 2.68E4 N

106) A cylinder with a radius of 0.25 m and a length of 3.5 m is held so that the top circular face is 3.3 m below the water. The mass of the block is 922.0 kg. The mass density of water is 1000kg/m^3. What is the force exerted by the fluid on the bottom of the cylinder?

a) 8.26E3 Pa

b) 1.04E4 Pa

c) 1.31E4 Pa

d) 1.65E4 Pa

e) 2.07E4 Pa

107) A 6.4 cm diameter pipe can fill a 1.8 m^3 volume in 8.0 minutes. Before exiting the pipe, the diameter is reduced to 3.7 cm (with no loss of flow rate). What is the speed in the first (wider) pipe?

a) 7.94E-1 m/s

b) 9.62E-1 m/s

c) 1.17E0 m/s

d) 1.41E0 m/s

e) 1.71E0 m/s

108) A 7.0 cm diameter pipe can fill a 2.1 m^3 volume in 8.0 minutes. Before exiting the pipe, the diameter is reduced to 1.7 cm (with no loss of flow rate). What is the pressure difference (in Pascals) between the two regions of the pipe?

a) 1.26E5

b) 1.53E5

c) 1.85E5

d) 2.24E5

e) 2.72E5

109) A 6.3 cm diameter pipe can fill a 1.4 m^3 volume in 8.0 minutes. Before exiting the pipe, the diameter is reduced to 4.8 cm (with no loss of flow rate). If two fluid elements at the center of the pipe are separated by 32.0 mm when they are both in the wide pipe, and we neglect turbulence, what is the separation when both are in the narrow pipe?

a) 3.10E1 mm

b) 3.76E1 mm

c) 4.55E1 mm

d) 5.51E1 mm

e) 6.68E1 mm

110) A large cylinder is filled with water so that the bottom is 8.8 m below the waterline. At the bottom is a small hole with a diameter of 6.3E-4 m. How fast is the water flowing at the hole? (Neglect viscous effects, turbulence, and also assume that the hole is so small that no significant motion occurs at the top of the cylinder.)

a) 1.08E1 m/s

b) 1.31E1 m/s

c) 1.59E1 m/s

d) 1.93E1 m/s

e) 2.34E1 m/s

111) What is the root-mean-square of -46, -13, and 17?

a) 2.074 x 10¹

b) 2.327 x 10¹

c) 2.611 x 10¹

d) 2.929 x 10¹

e) 3.287 x 10¹

112) What is the rms speed of a molecule with an atomic mass of 11 if the temperature is 102 degrees Fahrenheit?

a) 3.9 x 10² m/s

b) 4.73 x 10² m/s

c) 5.73 x 10² m/s

d) 6.94 x 10² m/s

e) 8.41 x 10² m/s

113) If a molecule with atomic mass equal to 4 amu has a speed of 353 m/s, what is the speed at an atom in the same atmosphere of a molecule with an atomic mass of 27 ?

a) 7.64 x 10¹ m/s

b) 9.26 x 10¹ m/s

c) 1.12 x 10² m/s

d) 1.36 x 10² m/s

e) 1.65 x 10² m/s

114) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.99 kg is filled with 0.26 kg of water. How much heat does it take to raise both from 54.4 C to 78.1 C?

a) 2.43 x 10⁴ J

b) 2.86 x 10⁴ J

c) 3.38 x 10⁴ J

d) 3.98 x 10⁴ J

e) 4.69 x 10⁴ J

115) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.95 kg is filled with 0.19 kg of water. What fraction of the heat went into the aluminum?

a) 5.2 x 10^-1

b) 6.1 x 10^-1

c) 7.2 x 10^-1

d) 8.5 x 10^-1

e) 1 x 10⁰

116) {The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.68 kg is filled with 0.17 kg of water. You are consulting for the flat earth society, a group of people who believe that the acceleration of gravity equals 9.8 m/s/s at all altitudes. Based on this assumption, from what height must the water and container be dropped to achieve the same change in temperature? (For comparison, Earth's radius is 6,371 kilometers)

a) 2.61 x 10⁰ km

b) 3.16 x 10⁰ km

c) 3.83 x 10⁰ km

d) 4.64 x 10⁰ km

e) 5.62 x 10⁰ km

117) A window is square, with a length of each side equal to 0.81 meters. The glass has a thickness of 13 mm. To decrease the heat loss, you reduce the size of the window by decreasing the length of each side by a factor of 1.24. You also increase the thickness of the glass by a factor of 2.15. If the inside and outside temperatures are unchanged, by what factor have you decreased the heat flow?. By what factor have you decreased the heat flow (assuming the same inside and outside temperatures).

a) 1.53 x 10⁰ unit

b) 1.86 x 10⁰ unit

c) 2.25 x 10⁰ unit

d) 2.73 x 10⁰ unit

e) 3.31 x 10⁰ unit

118)

A 1241 heat cycle uses 1.1 moles of an ideal gas. The pressures and volumes are: P₁= 2 kPa, P₂= 4.1 kPa. The volumes are V₁= 2.1m³ and V₄= 4.3m³. How much work is done in in one cycle?

a) 7.3 x 10² J

b) 2.31 x 10³ J

c) 7.3 x 10³ J

d) 2.31 x 10⁴ J

e) 7.3 x 10⁴ J

119)

A 1241 heat cycle uses 2 moles of an ideal gas. The pressures and volumes are: P₁= 1.5 kPa, P₂= 2.7 kPa. The volumes are V₁= 1.9m³ and V₄= 3.3m³. How much work is involved between 1 and 4?

a) 6.64 x 10² J

b) 2.1 x 10³ J

c) 6.64 x 10³ J

d) 2.1 x 10⁴ J

e) 6.64 x 10⁴ J

120)

A 1241 heat cycle uses 1.9 moles of an ideal gas. The pressures and volumes are: P₁= 2.3 kPa, P₂= 5.3 kPa. The volumes are V₁= 1.8m³ and V₄= 3m³. How much work is involved between 2 and 4?

a) 1.44 x 10² J

b) 4.56 x 10² J

c) 1.44 x 10³ J

d) 4.56 x 10³ J

e) 1.44 x 10⁴ J

121)

A 1241 heat cycle uses 1.4 moles of an ideal gas. The pressures and volumes are: P₁= 1.4 kPa, P₂= 4.1 kPa. The volumes are V₁= 2.1m³ and V₄= 4.7m³. What is the temperature at step 4?

a) 1.79 x 10² K

b) 5.65 x 10² K

c) 1.79 x 10³ K

d) 5.65 x 10³ K

e) 1.79 x 10⁴ K

All C1

1)

Is $dv/d\ell =r/v$ valid for uniform circular motion?

a) Yes

b) No

2)

Is $d\ell =vdt$ valid for uniform circular motion?

a) Yes

b) No

3) If you toss a coin into the air, the velocity on the way up is

a) zero

b) down

c) up

4)

Is $d\ell =|{\vec {r}}_{2}-{\vec {r}}_{1}|$ valid for uniform circular motion?

a) Yes

b) No

5) A cylinder with a radius of 0.38 m and a length of 2.3 m is held so that the top circular face is 4.5 m below the water. The mass of the block is 909.0 kg. The mass density of water is 1000kg/m^3. What is the buoyant force?

a) 6.97E3 N

b) 8.44E3 N

c) 1.02E4 N

d) 1.24E4 N

e) 1.50E4 N

6) A sled of mass 2.2 kg is on perfectly smooth surface. A string pulls with a tension of 17.2N. At what angle above the horizontal must the string pull in order to achieve an accelerations of 3.5 m/s²?

a) 36.3 degrees

b) 41.7 degrees

c) 47.9 degrees

d) 55.1 degrees

e) 63.4 degrees

7) A cylinder with a radius of 0.33 m and a length of 2.9 m is held so that the top circular face is 4.1 m below the water. The mass of the block is 912.0 kg. The mass density of water is 1000kg/m^3. What is is the force exerted by the fluid on the bottom of the cylinder?

a) 2.35E4 Pa

b) 2.95E4 Pa

c) 3.72E4 Pa

d) 4.68E4 Pa

e) 5.90E4 Pa

8) A sled of mass 5.5 kg is at rest on a rough surface. A string pulls with a tension of 46.8N at an angle of 40 degress above the horizontal. What is the magnitude of the friction?

a) 27.11 N.

b) 31.17 N.

c) 35.85 N.

d) 41.23 N.

e) 47.41 N.

9) A lead filled bicycle wheel of radius 0.58 m and mass 2.8 kg is rotating at a frequency of 1.8 revolutions per second. What is the moment of inertia?

a) 9.42 x 10^-1 kg m²/s²

b) 1.14 x 10⁰ kg m²/s²

c) 1.38 x 10⁰ kg m²/s²

d) 1.67 x 10⁰ kg m²/s²

e) 2.03 x 10⁰ kg m²/s²

10) The cart has a mass of 36.50kg. It is moving at a speed of 2.10m/s, when it is at a height of 3.46m. If the spring constant was 594N/m, what was the initial compression?

a) 1.97 m

b) 2.11 m

c) 2.25 m

d) 2.41 m

e) 2.58 m

11) The Smith family is having fun on a high speed train travelling at 47.6 m/s. The daugher fires at Mr. Smith with a pellet gun whose muzzle speed is 23.8 m/s. She was situated across the isle, perpendicular to the length of the train. What is the speed of her bullet with respect to Earth?

a) 10.5 m/s.

b) 15.8 m/s.

c) 23.7 m/s.

d) 35.5 m/s.

e) 53.2 m/s.

12) Mr. Smith is driving at a speed of 5 m/s, when he slows down to a speed of 4 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

a) 8.0 meters

b) 10.0 meters

c) 12.0 meters

d) 9.0 meters

e) 11.0 meters

13) Mr. Smith is driving at a speed of 4 m/s, when he slows down to a speed of 1 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

a) 7.0 meters

b) 8.0 meters

c) 9.0 meters

d) 10.0 meters

e) 11.0 meters

14)

A massless bar of length, S = 9.2m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 30.9 degrees above the horizontal. An object of mass, M = 3.6kg is suspended at a length, L =4.9m from the wall. What is the y (vertical) component of the force exerted by the wall on the horizontal bar?

a) 1.12E+01 N

b) 1.36E+01 N

c) 1.65E+01 N

d) 2.00E+01 N

e) 2.42E+01 N

15) A sled of mass 5.2 kg is at rest on a perfectly smooth surface. A string pulls with a tension of 46N at an angle of 32 degress above the horizontal. How long will it take to reach a speed of 9.1 m/s?

a) 1.05 s

b) 1.21 s

c) 1.39 s

d) 1.6 s

e) 1.84 s

16) If you toss a coin into the air, the velocity on the way down is

a) zero

b) up

c) down

17)

A 1241 heat cycle uses 2 moles of an ideal gas. The pressures and volumes are: P₁= 1.5 kPa, P₂= 2.7 kPa. The volumes are V₁= 1.9m³ and V₄= 3.3m³. How much work is involved between 1 and 4?

a) 6.64 x 10² J

b) 2.1 x 10³ J

c) 6.64 x 10³ J

d) 2.1 x 10⁴ J

e) 6.64 x 10⁴ J

18) A car is traveling in a perfect circle at constant speed. If the car is headed north while turning west, the acceleration is

a) west

b) east

c) north

d) zero

e) south

19) On object of mass 2.3 kg that is moving at a velocity of 24m/s collides with a stationary object of mass 22.8 kg. What is the final velocity if they stick? (Assume no external friction.)

a) 1.06m/s.

b) 1.27m/s.

c) 1.53m/s.

d) 1.83m/s.

e) 2.2m/s.

20)

Is $dv=|{\vec {v}}_{2}|-|{\vec {v}}_{1}|$ valid for uniform circular motion?

a) Yes

b) No

21)

Is $d\ell =|{\vec {r}}_{2}|-|{\vec {r}}_{1}|$ valid for uniform circular motion?

a) Yes

b) No

22) The spring constant is 755N/m, and the initial compression is 0.21m. What is the mass if the cart reaches a height of 3.12m, before coming to rest?

a) 0.494 kg

b) 0.519 kg

c) 0.544 kg

d) 0.572 kg

e) 0.600 kg

23) If you toss a coin into the air, the acceleration on the way up is

a) up

b) down

c) zero

24) A 6.4 cm diameter pipe can fill a 1.8 m^3 volume in 8.0 minutes. Before exiting the pipe, the diameter is reduced to 3.7 cm (with no loss of flow rate). What is the pressure difference (in Pascals) between the two regions of the pipe?

a) 3.04E3

b) 3.68E3

c) 4.46E3

d) 5.40E3

e) 6.55E3

25) A car traveling at 54 miles/hour stops in 5.2 seconds. What is the average acceleration?

a) 4.64 x 10⁰ m/s²

b) 8.26 x 10⁰ m/s²

c) 1.47 x 10¹ m/s²

d) 2.61 x 10¹ m/s²

e) 4.64 x 10¹ m/s²

26) A car is headed due north and increasing its speed. It is also turning left because it is also traveling in a perfect circle. The acceleration vector points

a) north

b) south

c) northeast

d) northwest

e) southwest

27)

In the figure shown, θ₁ is 18 degrees , and θ₃ is 29 degrees . The mass has a weight of 50 N. What is the tension, T₁?

a) 34.19 N.

b) 39.32 N.

c) 45.21 N.

d) 52 N.

e) 59.79 N.

28) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 2 seconds. He then travels at this speed for an additional 1 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

a) 7.0 meters

b) 6.0 meters

c) 9.0 meters

d) 8.0 meters

e) 5.0 meters

29)

In the figure shown, L₁ = 6.4m, L₂ = 3.4m and L₃ = 7.1m. What is F₂ if F₁ =0.87N and F₃ =0.1N?

a) 1.43E+00 N

b) 1.73E+00 N

c) 2.10E+00 N

d) 2.54E+00 N

e) 3.08E+00 N

30) A car with a tire radius of 0.21 m accelerates from 0 to 29 m/s in 11 seconds. What is the angular acceleration of the wheel?

a) 1.26 x 10¹ m

b) 1.52 x 10¹ m

c) 1.84 x 10¹ m

d) 2.23 x 10¹ m

e) 2.7 x 10¹ m

31) As the Moon circles Earth, the acceleration of the Moon is

a) zero

b) towards Earth

c) away from Earth

d) in the same direction as the Moon's velocity

e) opposite the direction of the Moon's velocity

32) A car is traveling in a perfect circle at constant speed. If the car is headed north while turning east, the acceleration is

a) west

b) south

c) zero

d) east

e) north

33)

A 1241 heat cycle uses 2.9 moles of an ideal gas. The pressures and volumes are: P₁= 1.7 kPa, P₂= 3.1 kPa. The volumes are V₁= 2.8m³ and V₄= 4.3m³. How much work is involved between 2 and 4?

a) 3.6 x 10³ J

b) 1.14 x 10⁴ J

c) 3.6 x 10⁴ J

d) 1.14 x 10⁵ J

e) 3.6 x 10⁵ J

34) Mr. Smith starts at rest and accelerates to a speed of 4 m/s, in 2 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

a) 22.0 meters

b) 21.0 meters

c) 23.0 meters

d) 19.0 meters

e) 20.0 meters

35)

Is $v/d\ell =r/dv$ valid for uniform circular motion?

a) Yes

b) No

36) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

a) 26.0 meters

b) 23.0 meters

c) 24.0 meters

d) 27.0 meters

e) 25.0 meters

37) A car is headed due north and increasing its speed. It is also turning right because it is also traveling in a perfect circle. The velocity vector points

a) northwest

b) north

c) northeast

d) south

e) southwest

38) A car is traveling east and speeding up. The acceleration is

a) zero

b) to the west

c) to the east

39)

Is $dv=|{\vec {v}}_{2}-{\vec {v}}_{1}|$ valid for uniform circular motion?

a) Yes

b) No

40) If you toss a coin into the air, the acceleration while it as its highest point is

a) zero

b) up

c) down

41) A cylinder with a radius of 0.24 m and a length of 3.8 m is held so that the top circular face is 3.5 m below the water. The mass of the block is 853.0 kg. The mass density of water is 1000kg/m^3. What is the pressure at the top face of the cylinder?

a) 2.83E4 Pa

b) 3.43E4 Pa

c) 4.16E4 Pa

d) 5.03E4 Pa

e) 6.10E4 Pa

42) In the figure "3 tensions" shown above θ₁ is 15 degrees, and θ₃ is 36 degrees. The tension T₃ is 39 N. What is the weight?

a) 23.7 N.

b) 27.3 N.

c) 31.4 N.

d) 36.1 N.

e) 41.5 N.

43)

A 1241 heat cycle uses 1.6 moles of an ideal gas. The pressures and volumes are: P₁= 1.5 kPa, P₂= 3 kPa. The volumes are V₁= 2.4m³ and V₄= 4.5m³. What is the temperature at step 4?

a) 1.6 x 10¹ K

b) 5.07 x 10¹ K

c) 1.6 x 10² K

d) 5.07 x 10² K

e) 1.6 x 10³ K

44) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 6 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 4 seconds to come to rest. How far did he travel?

a) 14.0 meters

b) 17.0 meters

c) 13.0 meters

d) 15.0 meters

e) 16.0 meters

45) Mr. Smith starts from rest and accelerates to 3 m/s in 2 seconds. How far did he travel?

a) 5.0 meters

b) 2.0 meters

c) 3.0 meters

d) 1.0 meters

e) 4.0 meters

46) A car is accelerating uniformly at an acceleration of 3.2m/s/s. At x = 7.5m, the speed is 4m/s. How fast is it moving at x = 12 m?

a) 4.65 m/s.

b) 5.58 m/s.

c) 6.69 m/s.

d) 8.03 m/s.

e) 9.64 m/s.

47) A large cylinder is filled with water so that the bottom is 8.9 m below the waterline. At the bottom is a small hole with a diameter of 7.6E-4 m. How fast is the water flowing at the hole? (Neglect viscous effects, turbulence, and also assume that the hole is so small that no significant motion occurs at the top of the cylinder.)

a) 1.09E1 m/s

b) 1.32E1 m/s

c) 1.60E1 m/s

d) 1.94E1 m/s

e) 2.35E1 m/s

48) If you toss a coin into the air, the acceleration on the way down is

a) down

b) up

c) zero

49)

Is $dv/d\ell =v/r$ valid for uniform circular motion?

a) Yes

b) No

50) If a molecule with atomic mass equal to 7 amu has a speed of 399 m/s, what is the speed at an atom in the same atmosphere of a molecule with an atomic mass of 31 ?

a) 8.8 x 10¹ m/s

b) 1.07 x 10² m/s

c) 1.29 x 10² m/s

d) 1.56 x 10² m/s

e) 1.9 x 10² m/s

51) A merry-go round has a period of 0.26 minutes. What is the centripetal force on a 53.3 kg person who is standing 1.35 meters from the center?

a) 7.7 newtons.

b) 8.8 newtons.

c) 10.2 newtons.

d) 11.7 newtons.

e) 13.4 newtons.

52) A mass with weight (mg) 8.7 newtons is on a horzontal surface. It is being pulled on by a string at an angle of 30 degrees above the horizontal, with a force equal to 4.08 newtons. If this is the maximum force before the block starts to move, what is the static coefficient of friction?

a) 0.44

b) 0.53

c) 0.64

d) 0.76

e) 0.92

53) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 6.76 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.65 m, and moves at a constant speed of 2.8 m/s in the +y direction. At what time do they meet?

a) 0.21 s.

b) 0.25 s.

c) 0.3 s.

d) 0.36 s.

e) 0.43 s.

54) Mr. Smith starts from rest and accelerates to 4 m/s in 3 seconds. How far did he travel?

a) 6.0 meters

b) 3.0 meters

c) 4.0 meters

d) 7.0 meters

e) 5.0 meters

55) A car completes a complete circle of radius 1.7 miles at a speed of 55.1 miles per hour. How many minutes does it take?

a) 1.16 x 10¹ minutes

b) 1.55 x 10¹ minutes

c) 2.07 x 10¹ minutes

d) 2.76 x 10¹ minutes

e) 3.68 x 10¹ minutes

56) A car is headed due north and decreasing its speed. It is also turning left because it is also traveling in a perfect circle. The acceleration vector points

a) southwest

b) southeast

c) northwest

d) south

e) west

57) Without their shoes, members of a 9 person baseball team have a coefficient of static friction of only 0.35 . But the team wins a game of tug of war due to their superior mass of 614 kg. They are playing against a 5 person basketball team with a net mass of 405 kg. What is the maximum coefficient of static friction of the basketball team?

a) 0.439

b) 0.482

c) 0.531

d) 0.584

e) 0.642

58) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 8.02 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.27 m, and moves at a constant speed of 2.5 m/s in the +y direction. What is the value of θ (in radians)?

a) 0.18 radians.

b) 0.21 radians.

c) 0.24 radians.

d) 0.28 radians.

e) 0.32 radians.

59) A 7.0 cm diameter pipe can fill a 2.1 m^3 volume in 8.0 minutes. Before exiting the pipe, the diameter is reduced to 1.7 cm (with no loss of flow rate). If two fluid elements at the center of the pipe are separated by 29.0 mm when they are both in the wide pipe, and we neglect turbulence, what is the separation when both are in the narrow pipe?

a) 4.06E2 mm

b) 4.92E2 mm

c) 5.96E2 mm

d) 7.22E2 mm

e) 8.74E2 mm

60) A particle is initially at the origin and moving in the x direction at a speed of 3.9 m/s. It has an constant acceleration of 1.9 m/s² in the y direction, as well as an acceleration of 0.5 in the x direction. What angle does the velocity make with the x axis at time t = 2.5 s?

a) 37.12 degrees.

b) 42.69 degrees.

c) 49.09 degrees.

d) 56.45 degrees.

e) 64.92 degrees.

61) A merry-go-round has an angular frequency, $\omega$, equal to 0.188 rad/sec. How many minutes does it take to complete 6.5 revolutions?

a) 2.74 minutes.

b) 3.15 minutes.

c) 3.62 minutes.

d) 4.16 minutes.

e) 4.79 minutes.

62) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.66 kg is filled with 0.11 kg of water. You are consulting for the flat earth society, a group of people who believe that the acceleration of gravity equals 9.8 m/s/s at all altitudes. Based on this assumption, from what height must the water and container be dropped to achieve the same change in temperature? (For comparison, Earth's radius is 6,371 kilometers)

a) 1.64 x 10⁰ km

b) 1.99 x 10⁰ km

c) 2.41 x 10⁰ km

d) 2.92 x 10⁰ km

e) 3.54 x 10⁰ km

63) A car is headed due north and increasing its speed. It is also turning left because it is also traveling in a perfect circle. The velocity vector points

a) northeast

b) north

c) northwest

d) northeast

e) southeast

64) What is the gravitational acceleration on a plant that is 1.29 times more dense than Earth, and a radius that is 1.53 times greater than Earth's?

a) 12.7 m/s²

b) 14.6 m/s²

c) 16.8 m/s²

d) 19.3 m/s²

e) 22.2 m/s²

65) When a table cloth is quickly pulled out from under dishes, they hardly move. This is because

a) the cloth is accelerating for such a brief time that there is little motion

b) objects don't begin to accelerate until after the force has been applied

c) the cloth is more slippery when it is pulled quickly

66) A car is headed due north and decreasing its speed. It is also turning right because it is also traveling in a perfect circle. The acceleration vector points

a) north

b) southeast

c) northeast

d) south

e) northwest

67) What is the highest point the cart reaches if the speed was 1.5m/s, when the cart was situated at a height of 3.3m?,

a) 3.14 m

b) 3.30 m

c) 3.46 m

d) 3.64 m

e) 3.82 m

68) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

a) 6.0 meters

b) 3.0 meters

c) 4.0 meters

d) 5.0 meters

e) 7.0 meters

69) Mr. Smith starts from rest and accelerates to 4 m/s in 5 seconds. How far did he travel?

a) 11.0 meters

b) 8.0 meters

c) 7.0 meters

d) 9.0 meters

e) 10.0 meters

70) A particle accelerates uniformly at 17.25 m/s/s. How long does it take for the velocity to increase from 761 m/s to 1698 m/s?

a) 45.27 s

b) 54.32 s

c) 65.18 s

d) 78.22 s

e) 93.86 s

71)

A massless bar of length, S = 9m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 26.6 degrees above the horizontal. An object of mass, M = 3.9kg is suspended at a length, L = 6.5m from the wall. What is the x (horizontal) component of the force exerted by the wall on the horizontal bar?

a) 3.10E+01 N

b) 3.76E+01 N

c) 4.55E+01 N

d) 5.51E+01 N

e) 6.68E+01 N

72)

A 157 gm bullet strikes a ballistic pendulum of mass 2.22 kg (before the bullet struck). After impact, the pendulum rises by 65 cm. What was the speed of the bullet?

a) 47 m/s.

b) 51 m/s.

c) 54 m/s.

d) 58 m/s.

e) 62 m/s.

73) What is the rms speed of a molecule with an atomic mass of 18 if the temperature is 113 degrees Fahrenheit?

a) 3.08 x 10² m/s

b) 3.73 x 10² m/s

c) 4.52 x 10² m/s

d) 5.48 x 10² m/s

e) 6.64 x 10² m/s

74) If you toss a coin into the air, the velocity while it as its highest point is

a) up

b) down

c) zero

75)

Is $dv=adt$ valid for uniform circular motion?

a) Yes

b) No

76) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.61 kg is filled with 0.21 kg of water. How much heat does it take to raise both from 21.9 C to 98.6 C?

a) 7.88 x 10⁴ J

b) 9.29 x 10⁴ J

c) 1.1 x 10⁵ J

d) 1.29 x 10⁵ J

e) 1.52 x 10⁵ J

77) A car of mass 884 kg is driving on an icy road at a speed of 20 m/s, when it collides with a stationary truck. After the collision they stick and move at a speed of 4.2 m/s. What was the mass of the truck?

a) 3326 kg

b) 3991 kg

c) 4789 kg

d) 5747 kg

e) 6896 kg

78) The Smith family got in trouble for having fun on a high speed train travelling at 48.1 m/s. Mr. Smith is charged with having fired a pellet gun at his daughter (directly across the isle) with a bullet that had a speed of 92.7 m/s with respect to Earth. How fast was the bullet going relative to the daughter (i.e. train)?

a) 38.2 m/s.

b) 45.9 m/s.

c) 55 m/s.

d) 66 m/s.

e) 79.2 m/s.

79) If the initial velocity after leaving the spring is 7.70 m/s, how high does it reach before coming to rest?

a) 2.88 m

b) 3.02 m

c) 3.18 m

d) 3.34 m

e) 3.50 m

80) A train accelerates uniformly from 17.75 m/s to 31.625 m/s, while travelling a distance of 372 m. What is the 'average' acceleration?

a) 0.77m/s/s.

b) 0.92m/s/s.

c) 1.1m/s/s.

d) 1.33m/s/s.

e) 1.59m/s/s.

81) A car is traveling east and slowing down. The acceleration is

a) to the west

b) zero

c) to the east

82) The Smith family is having fun on a high speed train travelling at 42.3 m/s. Mrs. Smith, who is at the front of the train, fires straight towards the back with a bullet that is going forward with respect to Earth at a speed of 26.3 m/s. What was the muzzle speed of her bullet?

a) 7.1 m/s.

b) 10.7 m/s.

c) 16 m/s.

d) 24 m/s.

e) 36 m/s.

83)

Is $adt/v=vdt/r$ valid for uniform circular motion?

a) Yes

b) No

84)

Is $dv/r=d\ell /v$ valid for uniform circular motion?

a) Yes

b) No

85) The mass of the cart is 4.0kg, and the spring constant is 5938N/m. If the initial compression of the spring is 5.00m, how high does it reach before coming to rest?

a) 1.89E+03 m

b) 1.99E+03 m

c) 2.09E+03 m

d) 2.19E+03 m

e) 2.30E+03 m

86) A car is headed due north and increasing its speed. It is also turning right because it is also traveling in a perfect circle. The acceleration vector points

a) northwest

b) north

c) south

d) northeast

e) southwest

87)

In the figure shown, the mass of m₁ is 7 kg, and the mass of m₂ is 3.6 kg. If the external force, F_ext on m₂ is 153 N, what is the tension in the connecting string? Assume no friction is present.

a) 66.4 N

b) 76.4 N

c) 87.9 N

d) 101 N

e) 116.2 N

88) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 6 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 4 seconds to come to rest. How far did he travel?

a) 19.0 meters

b) 18.0 meters

c) 20.0 meters

d) 16.0 meters

e) 17.0 meters

89) A ball is kicked horizontally from a height of 2.5 m, at a speed of 8.7m/s. How far does it travel before landing?

a) 3.6 m.

b) 4.32 m.

c) 5.18 m.

d) 6.21 m.

e) 7.46 m.

90) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

a) 8.0 meters

b) 9.0 meters

c) 11.0 meters

d) 12.0 meters

e) 10.0 meters

91) A 2.5 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.41 . In addition to the surface friction, there is also an air drag equal to 11 N. What is the magnitude (absolute value) of the acceleration?

a) 7.3 m/s².

b) 8.4 m/s².

c) 9.7 m/s².

d) 11.1 m/s².

e) 12.8 m/s².

92) A mass with weight (mg) of 37 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 44 degrees. What is the tension in the string?

a) 11.4 N.

b) 13.1 N.

c) 15.1 N.

d) 17.4 N.

e) 20 N.

93) A sled of mass 5.9 kg is at rest on a rough surface. A string pulls with a tension of 45.6N at an angle of 36 degress above the horizontal. What is the normal force?

a) 23.45 N.

b) 26.97 N.

c) 31.02 N.

d) 35.67 N.

e) 41.02 N.

94)

rilght

In the figure shown, θ is 21 degrees, and the mass is 3.1 kg. What is T₂?

a) 55.74 N.

b) 64.1 N.

c) 73.72 N.

d) 84.77 N.

e) 97.49 N.

95)

The moment of inertia of a solid disk of mass, M, and radius, R, is ½ MR². Two identical disks, each with mass 1.8 kg are attached. The larger disk has a diameter of 0.85 m, and the smaller disk has a diameter of 0.44 m. If a force of 14 N is applied at the rim of the smaller disk, what is the angular acceleration?

a) 8.4 x 10⁰ s^-2

b) 1.02 x 10¹ s^-2

c) 1.23 x 10¹ s^-2

d) 1.49 x 10¹ s^-2

e) 1.81 x 10¹ s^-2

96)

In the figure shown (with m₁ = 5.4 kg, m₂ = 2.3 kg, and F_ext = 138 N), what is the acceleration? Assume no friction is present.

a) 10.2 m/s²

b) 11.8 m/s²

c) 13.6 m/s²

d) 15.6 m/s²

e) 17.9 m/s²

97) What is the acceleration if a car travelling at 7.7 m/s makes a skid mark that is 7 m long before coming to rest? (Assume uniform acceleration.)

a) 4.24m/s².

b) 5.08m/s².

c) 6.1m/s².

d) 7.32m/s².

e) 8.78m/s².

98) A merry-go round has a period of 0.22 minutes. What is the minimum coefficient of static friction that would allow a 96.9 kg person to stand1.95 meters from the center, without grabbing something?

a) 0.03

b) 0.034

c) 0.039

d) 0.045

e) 0.052

99)

A massless bar of length, S = 8.4m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 25.4 degrees above the horizontal. An object of mass, M = 7.6kg is suspended at a length, L = 5.2m from the wall. What is the tension, T, in the string?

a) 1.07E+02 N

b) 1.35E+02 N

c) 1.70E+02 N

d) 2.14E+02 N

e) 2.70E+02 N

100) A window is square, with a length of each side equal to 0.73 meters. The glass has a thickness of 16 mm. To decrease the heat loss, you reduce the size of the window by decreasing the length of each side by a factor of 1.27. You also increase the thickness of the glass by a factor of 2. If the inside and outside temperatures are unchanged, by what factor have you decreased the heat flow?. By what factor have you decreased the heat flow (assuming the same inside and outside temperatures).

a) 1.5 x 10⁰ unit

b) 1.81 x 10⁰ unit

c) 2.2 x 10⁰ unit

d) 2.66 x 10⁰ unit

e) 3.23 x 10⁰ unit

101) Mr. Smith is backing his car at a speed of 2.39 mph when he hits a cornfield (seed corn). In the course of 2.94 seconds he stops, puts his car in forward drive, and exits the field at a speed of 5.12 mph. What was the magnitude ( absolute value) of his acceleration?

a) 1.61 x 10⁰ miles per hour per second

b) 2.03 x 10⁰ miles per hour per second

c) 2.55 x 10⁰ miles per hour per second

d) 3.22 x 10⁰ miles per hour per second

e) 4.05 x 10⁰ miles per hour per second

102)

In the figure shown, the mass of m₁ is 5.2 kg, and the mass of m₂ is 2.9 kg. If the external force, F_ext on m₂ is 179 N, what is the tension in the connecting string? Assume that m₁ has a kinetic coefficient of friction equal to 0.36, and that for m₂ the coefficient is 0.46 .

a) 74.4 N

b) 85.5 N

c) 98.3 N

d) 113.1 N

e) 130.1 N

103)

In the figure shown, θ₁ is 15 degrees, and θ₃ is 36 degrees. The tension T₃ is 39 N. What is the tension, T₁?

a) 32.66 N.

b) 37.56 N.

c) 43.2 N.

d) 49.68 N.

e) 57.13 N.

104) The Smith family is having fun on a high speed train travelling at 42.3 m/s. Mr. Smith is at the back of the train and fires a pellet gun with a muzzle speed of 25.2 m/s at Mrs. Smith who is at the front of the train. What is the speed of the bullet with respect to Earth?

a) 30 m/s.

b) 45 m/s.

c) 67.5 m/s.

d) 101.3 m/s.

e) 151.9 m/s.

105)

Is $d\ell /dv=v/r$ valid for uniform circular motion?

a) Yes

b) No

106) A mass with weight (mg) equal to 41 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 30 degrees with respect to the horizontal. What is the tension in each string?

a) 23.4 N.

b) 27 N.

c) 31 N.

d) 35.7 N.

e) 41 N.

107)

Is $|d{\vec {v}}|=adt$ valid for uniform circular motion?

a) Yes

b) No

108)

A 1241 heat cycle uses 2.1 moles of an ideal gas. The pressures and volumes are: P₁= 2.8 kPa, P₂= 5.6 kPa. The volumes are V₁= 2.1m³ and V₄= 4.8m³. How much work is done in in one cycle?

a) 3.78 x 10² J

b) 1.2 x 10³ J

c) 3.78 x 10³ J

d) 1.2 x 10⁴ J

e) 3.78 x 10⁴ J

109)

In the figure shown, L₁ = 6.6m, L₂ = 3.1m and L₃ = 8.8m. What is F₁ if F₂ =9.2N and F₃ =5.9N?

a) 5.66E+00 N

b) 6.85E+00 N

c) 8.30E+00 N

d) 1.01E+01 N

e) 1.22E+01 N

110) A cylinder with a radius of 0.28 m and a length of 2.9 m is held so that the top circular face is 4.6 m below the water. The mass of the block is 880.0 kg. The mass density of water is 1000kg/m^3. What is the force exerted by the water at the top surface?

a) 1.11E4 N

b) 1.40E4 N

c) 1.76E4 N

d) 2.22E4 N

e) 2.79E4 N

111) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.99 kg is filled with 0.26 kg of water. What fraction of the heat went into the aluminum?

a) 2.7 x 10^-1

b) 3.2 x 10^-1

c) 3.8 x 10^-1

d) 4.5 x 10^-1

e) 5.3 x 10^-1

112) Nine barefoot baseball players, with a total mass of 679 kg plays tug of war against five basketball players wearing shoes that provide a static coefficient of friction of 0.61 . The net mass of the (shoed) basketball team is 380 kg. What is the maximum coefficient of the barefoot boys if they lose?

a) 0.31

b) 0.341

c) 0.376

d) 0.413

e) 0.454

113) What is the root-mean-square of 45, 23, and -43?

a) 3.414 x 10¹

b) 3.831 x 10¹

c) 4.298 x 10¹

d) 4.823 x 10¹

e) 5.411 x 10¹

114) A lead filled bicycle wheel of radius 0.38 m and mass 2.8 kg is rotating at a frequency of 1.7 revolutions per second. What is the total kinetic energy if the wheel is rotating about a stationary axis?

a) 1.07 x 10¹ J

b) 1.3 x 10¹ J

c) 1.57 x 10¹ J

d) 1.9 x 10¹ J

e) 2.31 x 10¹ J

115) A car is traveling west and slowing down. The acceleration is

a) zero

b) to the east

c) to the west

116) You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

a) 1.022 m/s

b) 1.084 m/s

c) 1.149 m/s

d) 1.218 m/s

e) 1.291 m/s

117) A 7.0 cm diameter pipe can fill a 2.1 m^3 volume in 8.0 minutes. Before exiting the pipe, the diameter is reduced to 1.7 cm (with no loss of flow rate). What is the speed in the first (wider) pipe?

a) 1.14E0 m/s

b) 1.38E0 m/s

c) 1.67E0 m/s

d) 2.02E0 m/s

e) 2.45E0 m/s

118)

Is $rd\ell =vdv$ valid for uniform circular motion?

a) Yes

b) No

119) What is the gravitational acceleration on a plant that is 1.34 times more massive than Earth, and a radius that is 1.45 times greater than Earths?

a) 4.7 m/s²

b) 5.4 m/s²

c) 6.2 m/s²

d) 7.2 m/s²

e) 8.3 m/s²

120) A car traveling at 27 mph increases its speed to 29.5 mph in 5.4 seconds. What is the average acceleration?

a) 2.07 x 10^-1 m/s²

b) 3.68 x 10^-1 m/s²

c) 6.54 x 10^-1 m/s²

d) 1.16 x 10⁰ m/s²

e) 2.07 x 10⁰ m/s²

121)

rilght

In the figure shown, θ is 21 degrees, and the mass is 3.1 kg. What is T₁?

a) 79.1 N.

b) 95 N.

c) 114 N.

d) 136.8 N.

e) 164.1 N.

All D0

1) A car traveling at 42.8 miles/hour stops in 7.5 seconds. What is the average acceleration?

a) 8.07 x 10^-1 m/s²

b) 1.43 x 10⁰ m/s²

c) 2.55 x 10⁰ m/s²

d) 4.54 x 10⁰ m/s²

e) 8.07 x 10⁰ m/s²

2) A car completes a complete circle of radius 2.2 miles at a speed of 63.6 miles per hour. How many minutes does it take?

a) 9.78 x 10⁰ minutes

b) 1.3 x 10¹ minutes

c) 1.74 x 10¹ minutes

d) 2.32 x 10¹ minutes

e) 3.09 x 10¹ minutes

3) A car traveling at 30.4 mph increases its speed to 32.9 mph in 6.9 seconds. What is the average acceleration?

a) 5.12 x 10^-2 m/s²

b) 9.11 x 10^-2 m/s²

c) 1.62 x 10^-1 m/s²

d) 2.88 x 10^-1 m/s²

e) 5.12 x 10^-1 m/s²

4) Mr. Smith is backing his car at a speed of 3.12 mph when he hits a cornfield (seed corn). In the course of 2.39 seconds he stops, puts his car in forward drive, and exits the field at a speed of 6.32 mph. What was the magnitude ( absolute value) of his acceleration?

a) 3.95 x 10⁰ miles per hour per second

b) 4.97 x 10⁰ miles per hour per second

c) 6.26 x 10⁰ miles per hour per second

d) 7.88 x 10⁰ miles per hour per second

e) 9.92 x 10⁰ miles per hour per second

5) A car is accelerating uniformly at an acceleration of 3.6m/s/s. At x = 7.5m, the speed is 4.7m/s. How fast is it moving at x = 11.5 m?

a) 4.95 m/s.

b) 5.94 m/s.

c) 7.13 m/s.

d) 8.56 m/s.

e) 10.27 m/s.

6) What is the acceleration if a car travelling at 10.9 m/s makes a skid mark that is 6.25 m long before coming to rest? (Assume uniform acceleration.)

a) 5.5m/s/2.

b) 6.6m/s/2.

c) 7.92m/s/2.

d) 9.5m/s/2.

e) 11.41m/s/2.

7) A train accelerates uniformly from 17 m/s to 35.25 m/s, while travelling a distance of 151 m. What is the 'average' acceleration?

a) 1.83m/s/s.

b) 2.19m/s/s.

c) 2.63m/s/s.

d) 3.16m/s/s.

e) 3.79m/s/s.

8) A particle accelerates uniformly at 13 m/s/s. How long does it take for the velocity to increase from 1024 m/s to 1888 m/s?

a) 46.15 s

b) 55.38 s

c) 66.46 s

d) 79.75 s

e) 95.7 s

9) Mr. Smith starts from rest and accelerates to 4 m/s in 3 seconds. How far did he travel?

a) 3.0 meters

b) 5.0 meters

c) 6.0 meters

d) 7.0 meters

e) 4.0 meters

10) Mr. Smith starts from rest and accelerates to 4 m/s in 5 seconds. How far did he travel?

a) 7.0 meters

b) 10.0 meters

c) 11.0 meters

d) 8.0 meters

e) 9.0 meters

11) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

a) 10.0 meters

b) 9.0 meters

c) 12.0 meters

d) 8.0 meters

e) 11.0 meters

12) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 2 seconds. He then travels at this speed for an additional 1 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

a) 5.0 meters

b) 6.0 meters

c) 9.0 meters

d) 7.0 meters

e) 8.0 meters

13) Mr. Smith is driving at a speed of 4 m/s, when he slows down to a speed of 1 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

a) 8.0 meters

b) 11.0 meters

c) 7.0 meters

d) 10.0 meters

e) 9.0 meters

14) Mr. Smith starts at rest and accelerates to a speed of 4 m/s, in 2 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

a) 21.0 meters

b) 23.0 meters

c) 20.0 meters

d) 19.0 meters

e) 22.0 meters

15) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

a) 6.0 meters

b) 7.0 meters

c) 5.0 meters

d) 4.0 meters

e) 3.0 meters

16) Mr. Smith is driving at a speed of 5 m/s, when he slows down to a speed of 4 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

a) 8.0 meters

b) 11.0 meters

c) 9.0 meters

d) 10.0 meters

e) 12.0 meters

17) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 6 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 4 seconds to come to rest. How far did he travel?

a) 17.0 meters

b) 18.0 meters

c) 16.0 meters

d) 20.0 meters

e) 19.0 meters

18) Mr. Smith starts from rest and accelerates to 3 m/s in 2 seconds. How far did he travel?

a) 3.0 meters

b) 5.0 meters

c) 2.0 meters

d) 4.0 meters

e) 1.0 meters

19) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

a) 24.0 meters

b) 25.0 meters

c) 26.0 meters

d) 23.0 meters

e) 27.0 meters

20) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 6 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 4 seconds to come to rest. How far did he travel?

a) 13.0 meters

b) 14.0 meters

c) 15.0 meters

d) 17.0 meters

e) 16.0 meters

21) A ball is kicked horizontally from a height of 3 m, at a speed of 7.6m/s. How far does it travel before landing?

a) 2.87 m.

b) 3.44 m.

c) 4.13 m.

d) 4.96 m.

e) 5.95 m.

22) A particle is initially at the origin and moving in the x direction at a speed of 4.3 m/s. It has an constant acceleration of 1.8 m/s² in the y direction, as well as an acceleration of 0.3 in the x direction. What angle does the velocity make with the x axis at time t = 2.5 s?

a) 36.26 degrees.

b) 41.7 degrees.

c) 47.96 degrees.

d) 55.15 degrees.

e) 63.43 degrees.

23) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 7.34 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.22 m, and moves at a constant speed of 2.91 m/s in the +y direction. At what time do they meet?

a) 0.23 s.

b) 0.27 s.

c) 0.33 s.

d) 0.4 s.

e) 0.47 s.

24) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 8.61 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.5 m, and moves at a constant speed of 2.43 m/s in the +y direction. What is the value of θ (in radians)?

a) 0.16 radians.

b) 0.19 radians.

c) 0.22 radians.

d) 0.25 radians.

e) 0.29 radians.

25) The Smith family is having fun on a high speed train travelling at 47.5 m/s. Mr. Smith is at the back of the train and fires a pellet gun with a muzzle speed of 22.5 m/s at Mrs. Smith who is at the front of the train. What is the speed of the bullet with respect to Earth?

a) 46.7 m/s.

b) 70 m/s.

c) 105 m/s.

d) 157.5 m/s.

e) 236.3 m/s.

26) The Smith family is having fun on a high speed train travelling at 48.4 m/s. Mrs. Smith, who is at the front of the train, fires straight towards the back with a bullet that is going forward with respect to Earth at a speed of 29 m/s. What was the muzzle speed of her bullet?

a) 8.6 m/s.

b) 12.9 m/s.

c) 19.4 m/s.

d) 29.1 m/s.

e) 43.7 m/s.

27) The Smith family is having fun on a high speed train travelling at 47.1 m/s. The daugher fires at Mr. Smith with a pellet gun whose muzzle speed is 29.9 m/s. She was situated across the isle, perpendicular to the length of the train. What is the speed of her bullet with respect to Earth?

a) 24.8 m/s.

b) 37.2 m/s.

c) 55.8 m/s.

d) 83.7 m/s.

e) 125.5 m/s.

28) The Smith family got in trouble for having fun on a high speed train travelling at 47.6 m/s. Mr. Smith is charged with having fired a pellet gun at his daughter (directly across the isle) with a bullet that had a speed of 88.1 m/s with respect to Earth. How fast was the bullet going relative to the daughter (i.e. train)?

a) 35.8 m/s.

b) 42.9 m/s.

c) 51.5 m/s.

d) 61.8 m/s.

e) 74.1 m/s.

29) When a table cloth is quickly pulled out from under dishes, they hardly move. This is because

a) objects don't begin to accelerate until after the force has been applied

b) the cloth is more slippery when it is pulled quickly

c) the cloth is accelerating for such a brief time that there is little motion

30) If you toss a coin into the air, the acceleration while it as its highest point is

a) up

b) down

c) zero

31) If you toss a coin into the air, the velocity on the way up is

a) up

b) down

c) zero

32) If you toss a coin into the air, the velocity on the way down is

a) zero

b) down

c) up

33) If you toss a coin into the air, the velocity while it as its highest point is

a) zero

b) down

c) up

34) A car is headed due north and increasing its speed. It is also turning left because it is also traveling in a perfect circle. The acceleration vector points

a) northwest

b) north

c) south

d) southwest

e) northeast

35) A car is headed due north and increasing its speed. It is also turning right because it is also traveling in a perfect circle. The acceleration vector points

a) northeast

b) northwest

c) southwest

d) north

e) south

36) A car is headed due north and increasing its speed. It is also turning left because it is also traveling in a perfect circle. The velocity vector points

a) southeast

b) north

c) northwest

d) northeast

e) northeast

37) A car is headed due north and increasing its speed. It is also turning right because it is also traveling in a perfect circle. The velocity vector points

a) southwest

b) south

c) north

d) northeast

e) northwest

38) A car is headed due north and decreasing its speed. It is also turning left because it is also traveling in a perfect circle. The acceleration vector points

a) south

b) west

c) southeast

d) northwest

e) southwest

39) A car is headed due north and decreasing its speed. It is also turning right because it is also traveling in a perfect circle. The acceleration vector points

a) northwest

b) south

c) northeast

d) southeast

e) north

40) A car is traveling west and slowing down. The acceleration is

a) to the west

b) zero

c) to the east

41) A car is traveling east and slowing down. The acceleration is

a) to the west

b) zero

c) to the east

42) A car is traveling east and speeding up. The acceleration is

a) to the west

b) zero

c) to the east

43) If you toss a coin into the air, the acceleration on the way up is

a) up

b) down

c) zero

44) A car is traveling in a perfect circle at constant speed. If the car is headed north while turning west, the acceleration is

a) east

b) north

c) south

d) west

e) zero

45) A car is traveling in a perfect circle at constant speed. If the car is headed north while turning east, the acceleration is

a) east

b) west

c) north

d) zero

e) south

46) As the Moon circles Earth, the acceleration of the Moon is

a) in the same direction as the Moon's velocity

b) towards Earth

c) away from Earth

d) zero

e) opposite the direction of the Moon's velocity

47) If you toss a coin into the air, the acceleration on the way down is

a) up

b) down

c) zero

48) A mass with weight (mg) of 49 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 54 degrees. What is the tension in the string?

a) 27.5 N.

b) 31.6 N.

c) 36.4 N.

d) 41.8 N.

e) 48.1 N.

49) A mass with weight (mg) equal to 41 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 30 degrees with respect to the horizontal. What is the tension in each string?

a) 23.4 N.

b) 27 N.

c) 31 N.

d) 35.7 N.

e) 41 N.

50) A 3.1 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.43 . In addition to the surface friction, there is also an air drag equal to 12 N. What is the magnitude (absolute value) of the acceleration?

a) 4.6 m/s².

b) 5.3 m/s².

c) 6.1 m/s².

d) 7 m/s².

e) 8.1 m/s².

51) A mass with weight (mg) 7.9 newtons is on a horzontal surface. It is being pulled on by a string at an angle of 30 degrees above the horizontal, with a force equal to 1.64 newtons. If this is the maximum force before the block starts to move, what is the static coefficient of friction?

a) 0.1

b) 0.12

c) 0.14

d) 0.17

e) 0.2

52) A sled of mass 5.1 kg is at rest on a rough surface. A string pulls with a tension of 48N at an angle of 48 degress above the horizontal. What is the magnitude of the friction?

a) 24.29 N.

b) 27.93 N.

c) 32.12 N.

d) 36.94 N.

e) 42.48 N.

53) A sled of mass 5.9 kg is at rest on a rough surface. A string pulls with a tension of 45.6N at an angle of 36 degress above the horizontal. What is the normal force?

a) 23.45 N.

b) 26.97 N.

c) 31.02 N.

d) 35.67 N.

e) 41.02 N.

54) A sled of mass 5.7 kg is at rest on a perfectly smooth surface. A string pulls with a tension of 41.7N at an angle of 55 degress above the horizontal. How long will it take to reach a speed of 10.5 m/s?

a) 1.89 s

b) 2.18 s

c) 2.5 s

d) 2.88 s

e) 3.31 s

55) A sled of mass 2.5 kg is on perfectly smooth surface. A string pulls with a tension of 18.1N. At what angle above the horizontal must the string pull in order to achieve an accelerations of 2 m/s²?

a) 74 degrees

b) 85.1 degrees

c) 97.8 degrees

d) 112.5 degrees

e) 129.4 degrees

56)

In the figure shown, θ₁ is 19 degrees, and θ₃ is 38 degrees. The tension T₃ is 21 N. What is the tension, T₁?

a) 10.01 N.

b) 11.51 N.

c) 13.23 N.

d) 15.22 N.

e) 17.5 N.

57) In the figure "3 tensions" shown above θ₁ is 20 degrees, and θ₃ is 29 degrees. The tension T₃ is 25 N. What is the weight?

a) 20.1 N.

b) 23.1 N.

c) 26.6 N.

d) 30.5 N.

e) 35.1 N.

58)

rilght

In the figure shown, θ is 33 degrees, and the mass is 2.8 kg. What is T₂?

a) 50.38 N.

b) 57.94 N.

c) 66.63 N.

d) 76.62 N.

e) 88.12 N.

59)

rilght

In the figure shown, θ is 33 degrees, and the mass is 2.8 kg. What is T₁?

a) 35.2 N.

b) 42.3 N.

c) 50.7 N.

d) 60.8 N.

e) 73 N.

60)

In the figure shown, θ₁ is 20 degrees , and θ₃ is 33 degrees . The mass has a weight of 31 N. What is the tension, T₁?

a) 32.55 N.

b) 37.44 N.

c) 43.05 N.

d) 49.51 N.

e) 56.94 N.

61)

In the figure shown, the mass of m₁ is 5.4 kg, and the mass of m₂ is 3.9 kg. If the external force, F_ext on m₂ is 136 N, what is the tension in the connecting string? Assume no friction is present.

a) 79 N

b) 90.8 N

c) 104.4 N

d) 120.1 N

e) 138.1 N

62)

In the figure shown (with m₁ = 5.1 kg, m₂ = 3.5 kg, and F_ext = 135 N), what is the acceleration? Assume no friction is present.

a) 13.7 m/s²

b) 15.7 m/s²

c) 18.1 m/s²

d) 20.8 m/s²

e) 23.9 m/s²

63) Nine barefoot baseball players, with a total mass of 616 kg plays tug of war against five basketball players wearing shoes that provide a static coefficient of friction of 0.71 . The net mass of the (shoed) basketball team is 388 kg. What is the maximum coefficient of the barefoot boys if they lose?

a) 0.447

b) 0.492

c) 0.541

d) 0.595

e) 0.655

64) Without their shoes, members of a 9 person baseball team have a coefficient of static friction of only 0.21 . But the team wins a game of tug of war due to their superior mass of 683 kg. They are playing against a 5 person basketball team with a net mass of 389 kg. What is the maximum coefficient of static friction of the basketball team?

a) 0.277

b) 0.305

c) 0.335

d) 0.369

e) 0.406

65)

In the figure shown, the mass of m₁ is 5.7 kg, and the mass of m₂ is 3.1 kg. If the external force, F_ext on m₂ is 137 N, what is the tension in the connecting string? Assume that m₁ has a kinetic coefficient of friction equal to 0.34, and that for m₂ the coefficient is 0.47 .

a) 56.7 N

b) 65.2 N

c) 74.9 N

d) 86.2 N

e) 99.1 N

66) A merry-go-round has an angular frequency, $\omega$, equal to 0.16 rad/sec. How many minutes does it take to complete 9.5 revolutions?

a) 5.41 minutes.

b) 6.22 minutes.

c) 7.15 minutes.

d) 8.22 minutes.

e) 9.46 minutes.

67) A merry-go round has a period of 0.38 minutes. What is the centripetal force on a 64.8 kg person who is standing 1.76 meters from the center?

a) 5 newtons.

b) 5.7 newtons.

c) 6.5 newtons.

d) 7.5 newtons.

e) 8.7 newtons.

68) A merry-go round has a period of 0.36 minutes. What is the minimum coefficient of static friction that would allow a 67.1 kg person to stand1.19 meters from the center, without grabbing something?

a) 0.006

b) 0.007

c) 0.008

d) 0.009

e) 0.01

69) What is the gravitational acceleration on a plant that is 1.96 times more massive than Earth, and a radius that is 1.62 times greater than Earths?

a) 4.8 m/s²

b) 5.5 m/s²

c) 6.4 m/s²

d) 7.3 m/s²

e) 8.4 m/s²

70) What is the gravitational acceleration on a plant that is 1.47 times more dense than Earth, and a radius that is 1.42 times greater than Earth's?

a) 20.5 m/s²

b) 23.5 m/s²

c) 27.1 m/s²

d) 31.1 m/s²

e) 35.8 m/s²

71)

Is $dv/d\ell =v/r$ valid for uniform circular motion?

a) Yes

b) No

72)

Is $dv/r=d\ell /v$ valid for uniform circular motion?

a) Yes

b) No

73)

Is $rd\ell =vdv$ valid for uniform circular motion?

a) Yes

b) No

74)

Is $dv=|{\vec {v}}_{2}|-|{\vec {v}}_{1}|$ valid for uniform circular motion?

a) Yes

b) No

75)

Is $d\ell /dv=v/r$ valid for uniform circular motion?

a) Yes

b) No

76)

Is $dv/d\ell =r/v$ valid for uniform circular motion?

a) Yes

b) No

77)

Is $dv=|{\vec {v}}_{2}-{\vec {v}}_{1}|$ valid for uniform circular motion?

a) Yes

b) No

78)

Is $d\ell =vdt$ valid for uniform circular motion?

a) Yes

b) No

79)

Is $adt/v=vdt/r$ valid for uniform circular motion?

a) Yes

b) No

80)

Is $dv=adt$ valid for uniform circular motion?

a) Yes

b) No

81)

Is $|d{\vec {v}}|=adt$ valid for uniform circular motion?

a) Yes

b) No

82)

Is $d\ell =|{\vec {r}}_{2}-{\vec {r}}_{1}|$ valid for uniform circular motion?

a) Yes

b) No

83)

Is $d\ell =|{\vec {r}}_{2}|-|{\vec {r}}_{1}|$ valid for uniform circular motion?

a) Yes

b) No

84)

Is $v/d\ell =r/dv$ valid for uniform circular motion?

a) Yes

b) No

85) If the initial velocity after leaving the spring is 9.80 m/s, how high does it reach before coming to rest?

a) 4.44 m

b) 4.67 m

c) 4.90 m

d) 5.15 m

e) 5.40 m

86) The mass of the cart is 4.0kg, and the spring constant is 5240N/m. If the initial compression of the spring is 4.00m, how high does it reach before coming to rest?

a) 1.07E+03 m

b) 1.12E+03 m

c) 1.18E+03 m

d) 1.24E+03 m

e) 1.30E+03 m

87) What is the highest point the cart reaches if the speed was 2.5m/s, when the cart was situated at a height of 3.6m?,

a) 3.43 m

b) 3.60 m

c) 3.78 m

d) 3.97 m

e) 4.17 m

88) The spring constant is 525N/m, and the initial compression is 0.19m. What is the mass if the cart reaches a height of 1.17m, before coming to rest?

a) 0.714 kg

b) 0.750 kg

c) 0.787 kg

d) 0.826 kg

e) 0.868 kg

89) The cart has a mass of 38.00kg. It is moving at a speed of 2.10m/s, when it is at a height of 3.71m. If the spring constant was 540N/m, what was the initial compression?

a) 1.78 m

b) 1.90 m

c) 2.03 m

d) 2.18 m

e) 2.33 m

90) You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

a) 1.149 m/s

b) 1.218 m/s

c) 1.291 m/s

d) 1.368 m/s

e) 1.450 m/s

91) On object of mass 2.7 kg that is moving at a velocity of 25m/s collides with a stationary object of mass 20.75 kg. What is the final velocity if they stick? (Assume no external friction.)

a) 2m/s.

b) 2.4m/s.

c) 2.88m/s.

d) 3.45m/s.

e) 4.14m/s.

92) A car of mass 856 kg is driving on an icy road at a speed of 19 m/s, when it collides with a stationary truck. After the collision they stick and move at a speed of 4.7 m/s. What was the mass of the truck?

a) 1507 kg

b) 1809 kg

c) 2170 kg

d) 2604 kg

e) 3125 kg

93)

A 191 gm bullet strikes a ballistic pendulum of mass 2.02 kg (before the bullet struck). After impact, the pendulum rises by 65 cm. What was the speed of the bullet?

a) 34 m/s.

b) 36 m/s.

c) 39 m/s.

d) 41 m/s.

e) 44 m/s.

94)

A massless bar of length, S = 7.6m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 26.6 degrees above the horizontal. An object of mass, M = 6.4kg is suspended at a length, L = 6.1m from the wall. What is the tension, T, in the string?

a) 4.48E+01 N

b) 5.63E+01 N

c) 7.09E+01 N

d) 8.93E+01 N

e) 1.12E+02 N

95)

In the figure shown, L₁ = 6.9m, L₂ = 4.3m and L₃ = 8m. What is F₁ if F₂ =8.4N and F₃ =5.2N?

a) 7.67E+00 N

b) 9.30E+00 N

c) 1.13E+01 N

d) 1.36E+01 N

e) 1.65E+01 N

96)

A massless bar of length, S = 9m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 28.9 degrees above the horizontal. An object of mass, M = 9.2kg is suspended at a length, L = 4.3m from the wall. What is the x (horizontal) component of the force exerted by the wall on the horizontal bar?

a) 6.44E+01 N

b) 7.80E+01 N

c) 9.45E+01 N

d) 1.15E+02 N

e) 1.39E+02 N

97)

In the figure shown, L₁ = 5.5m, L₂ = 3.5m and L₃ = 8.3m. What is F₂ if F₁ =0.92N and F₃ =0.1N?

a) 8.23E-01 N

b) 9.98E-01 N

c) 1.21E+00 N

d) 1.46E+00 N

e) 1.77E+00 N

98)

A massless bar of length, S = 9.8m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 26 degrees above the horizontal. An object of mass, M = 8.5kg is suspended at a length, L =6.1m from the wall. What is the y (vertical) component of the force exerted by the wall on the horizontal bar?

a) 1.46E+01 N

b) 1.77E+01 N

c) 2.14E+01 N

d) 2.60E+01 N

e) 3.15E+01 N

99) A car with a tire radius of 0.35 m accelerates from 0 to 32 m/s in 8.8 seconds. What is the angular acceleration of the wheel?

a) 5.84 x 10⁰ m

b) 7.08 x 10⁰ m

c) 8.58 x 10⁰ m

d) 1.04 x 10¹ m

e) 1.26 x 10¹ m

100) A lead filled bicycle wheel of radius 0.58 m and mass 2.8 kg is rotating at a frequency of 1.8 revolutions per second. What is the moment of inertia?

a) 9.42 x 10^-1 kg m²/s²

b) 1.14 x 10⁰ kg m²/s²

c) 1.38 x 10⁰ kg m²/s²

d) 1.67 x 10⁰ kg m²/s²

e) 2.03 x 10⁰ kg m²/s²

101) A lead filled bicycle wheel of radius 0.37 m and mass 2.1 kg is rotating at a frequency of 1.4 revolutions per second. What is the total kinetic energy if the wheel is rotating about a stationary axis?

a) 5.16 x 10⁰ J

b) 6.25 x 10⁰ J

c) 7.58 x 10⁰ J

d) 9.18 x 10⁰ J

e) 1.11 x 10¹ J

102)

The moment of inertia of a solid disk of mass, M, and radius, R, is ½ MR². Two identical disks, each with mass 1.8 kg are attached. The larger disk has a diameter of 0.85 m, and the smaller disk has a diameter of 0.44 m. If a force of 14 N is applied at the rim of the smaller disk, what is the angular acceleration?

a) 8.4 x 10⁰ s^-2

b) 1.02 x 10¹ s^-2

c) 1.23 x 10¹ s^-2

d) 1.49 x 10¹ s^-2

e) 1.81 x 10¹ s^-2

103) A cylinder with a radius of 0.38 m and a length of 2.2 m is held so that the top circular face is 3.8 m below the water. The mass of the block is 903.0 kg. The mass density of water is 1000kg/m^3. What is the pressure at the top face of the cylinder?

a) 3.72E4 Pa

b) 4.51E4 Pa

c) 5.47E4 Pa

d) 6.62E4 Pa

e) 8.02E4 Pa

104) A cylinder with a radius of 0.28 m and a length of 2.6 m is held so that the top circular face is 4.1 m below the water. The mass of the block is 831.0 kg. The mass density of water is 1000kg/m^3. What is the buoyant force?

a) 5.18E3 N

b) 6.28E3 N

c) 7.60E3 N

d) 9.21E3 N

e) 1.12E4 N

105) A cylinder with a radius of 0.29 m and a length of 2.3 m is held so that the top circular face is 4.7 m below the water. The mass of the block is 968.0 kg. The mass density of water is 1000kg/m^3. What is what is the force exerted by the water at the top surface?

a) 6.10E3 N

b) 7.68E3 N

c) 9.67E3 N

d) 1.22E4 N

e) 1.53E4 N

106) A cylinder with a radius of 0.29 m and a length of 2.8 m is held so that the top circular face is 4.6 m below the water. The mass of the block is 952.0 kg. The mass density of water is 1000kg/m^3. What is the force exerted by the fluid on the bottom of the cylinder?

a) 1.52E4 Pa

b) 1.92E4 Pa

c) 2.41E4 Pa

d) 3.04E4 Pa

e) 3.82E4 Pa

107) A 9.2 cm diameter pipe can fill a 1.6 m^3 volume in 8.0 minutes. Before exiting the pipe, the diameter is reduced to 4.0 cm (with no loss of flow rate). What is the speed in the first (wider) pipe?

a) 5.01E-1 m/s

b) 6.08E-1 m/s

c) 7.36E-1 m/s

d) 8.92E-1 m/s

e) 1.08E0 m/s

108) A 6.3 cm diameter pipe can fill a 1.4 m^3 volume in 8.0 minutes. Before exiting the pipe, the diameter is reduced to 4.8 cm (with no loss of flow rate). What is the pressure difference (in Pascals) between the two regions of the pipe?

a) 4.84E2

b) 5.87E2

c) 7.11E2

d) 8.61E2

e) 1.04E3

109) A 6.4 cm diameter pipe can fill a 1.6 m^3 volume in 4.0 minutes. Before exiting the pipe, the diameter is reduced to 4.8 cm (with no loss of flow rate). If two fluid elements at the center of the pipe are separated by 28.0 mm when they are both in the wide pipe, and we neglect turbulence, what is the separation when both are in the narrow pipe?

a) 2.80E1 mm

b) 3.39E1 mm

c) 4.11E1 mm

d) 4.98E1 mm

e) 6.03E1 mm

110) A large cylinder is filled with water so that the bottom is 8.0 m below the waterline. At the bottom is a small hole with a diameter of 9.1E-4 m. How fast is the water flowing at the hole? (Neglect viscous effects, turbulence, and also assume that the hole is so small that no significant motion occurs at the top of the cylinder.)

a) 7.04E0 m/s

b) 8.53E0 m/s

c) 1.03E1 m/s

d) 1.25E1 m/s

e) 1.52E1 m/s

111) What is the root-mean-square of 5, 7, and 0?

a) 4.426 x 10⁰

b) 4.967 x 10⁰

c) 5.573 x 10⁰

d) 6.253 x 10⁰

e) 7.015 x 10⁰

112) What is the rms speed of a molecule with an atomic mass of 17 if the temperature is 7 degrees Fahrenheit?

a) 4.2 x 10² m/s

b) 5.09 x 10² m/s

c) 6.17 x 10² m/s

d) 7.47 x 10² m/s

e) 9.05 x 10² m/s

113) If a molecule with atomic mass equal to 9 amu has a speed of 249 m/s, what is the speed at an atom in the same atmosphere of a molecule with an atomic mass of 31 ?

a) 6.23 x 10¹ m/s

b) 7.54 x 10¹ m/s

c) 9.14 x 10¹ m/s

d) 1.11 x 10² m/s

e) 1.34 x 10² m/s

114) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.66 kg is filled with 0.11 kg of water. How much heat does it take to raise both from 57.1 C to 78 C?

a) 1.59 x 10⁴ J

b) 1.87 x 10⁴ J

c) 2.2 x 10⁴ J

d) 2.6 x 10⁴ J

e) 3.06 x 10⁴ J

115) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.66 kg is filled with 0.11 kg of water. What fraction of the heat went into the aluminum?

a) 3.4 x 10^-1

b) 4.1 x 10^-1

c) 4.8 x 10^-1

d) 5.6 x 10^-1

e) 6.6 x 10^-1

116) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.82 kg is filled with 0.11 kg of water. You are consulting for the flat earth society, a group of people who believe that the acceleration of gravity equals 9.8 m/s/s at all altitudes. Based on this assumption, from what height must the water and container be dropped to achieve the same change in temperature? (For comparison, Earth's radius is 6,371 kilometers)

a) 4.68 x 10⁰ km

b) 5.67 x 10⁰ km

c) 6.87 x 10⁰ km

d) 8.32 x 10⁰ km

e) 1.01 x 10¹ km

117) A window is square, with a length of each side equal to 0.81 meters. The glass has a thickness of 13 mm. To decrease the heat loss, you reduce the size of the window by decreasing the length of each side by a factor of 1.24. You also increase the thickness of the glass by a factor of 2.15. If the inside and outside temperatures are unchanged, by what factor have you decreased the heat flow?. By what factor have you decreased the heat flow (assuming the same inside and outside temperatures).

a) 1.53 x 10⁰ unit

b) 1.86 x 10⁰ unit

c) 2.25 x 10⁰ unit

d) 2.73 x 10⁰ unit

e) 3.31 x 10⁰ unit

118)

A 1241 heat cycle uses 2.1 moles of an ideal gas. The pressures and volumes are: P₁= 2.8 kPa, P₂= 5.6 kPa. The volumes are V₁= 2.1m³ and V₄= 4.8m³. How much work is done in in one cycle?

a) 3.78 x 10² J

b) 1.2 x 10³ J

c) 3.78 x 10³ J

d) 1.2 x 10⁴ J

e) 3.78 x 10⁴ J

119)

A 1241 heat cycle uses 2.4 moles of an ideal gas. The pressures and volumes are: P₁= 2.1 kPa, P₂= 3.2 kPa. The volumes are V₁= 1.1m³ and V₄= 2.2m³. How much work is involved between 1 and 4?

a) 2.31 x 10² J

b) 7.3 x 10² J

c) 2.31 x 10³ J

d) 7.3 x 10³ J

e) 2.31 x 10⁴ J

120)

A 1241 heat cycle uses 3 moles of an ideal gas. The pressures and volumes are: P₁= 1.3 kPa, P₂= 3.7 kPa. The volumes are V₁= 1.1m³ and V₄= 2.2m³. How much work is involved between 2 and 4?

a) 8.7 x 10² J

b) 2.75 x 10³ J

c) 8.7 x 10³ J

d) 2.75 x 10⁴ J

e) 8.7 x 10⁴ J

121)

A 1241 heat cycle uses 1.4 moles of an ideal gas. The pressures and volumes are: P₁= 1.4 kPa, P₂= 4.1 kPa. The volumes are V₁= 2.1m³ and V₄= 4.7m³. What is the temperature at step 4?

a) 1.79 x 10² K

b) 5.65 x 10² K

c) 1.79 x 10³ K

d) 5.65 x 10³ K

e) 1.79 x 10⁴ K

All D1

1) Nine barefoot baseball players, with a total mass of 679 kg plays tug of war against five basketball players wearing shoes that provide a static coefficient of friction of 0.61 . The net mass of the (shoed) basketball team is 380 kg. What is the maximum coefficient of the barefoot boys if they lose?

a) 0.31

b) 0.341

c) 0.376

d) 0.413

e) 0.454

2) A car completes a complete circle of radius 2.6 miles at a speed of 63.7 miles per hour. How many minutes does it take?

a) 8.65 x 10⁰ minutes

b) 1.15 x 10¹ minutes

c) 1.54 x 10¹ minutes

d) 2.05 x 10¹ minutes

e) 2.74 x 10¹ minutes

3) A cylinder with a radius of 0.38 m and a length of 3.6 m is held so that the top circular face is 4.2 m below the water. The mass of the block is 829.0 kg. The mass density of water is 1000kg/m^3. What is the buoyant force?

a) 1.09E4 N

b) 1.32E4 N

c) 1.60E4 N

d) 1.94E4 N

e) 2.35E4 N

4) A car is headed due north and increasing its speed. It is also turning left because it is also traveling in a perfect circle. The acceleration vector points

a) northwest

b) south

c) northeast

d) north

e) southwest

5) The mass of the cart is 4.0kg, and the spring constant is 9905N/m. If the initial compression of the spring is 1.00m, how high does it reach before coming to rest?

a) 1.26E+02 m

b) 1.33E+02 m

c) 1.39E+02 m

d) 1.46E+02 m

e) 1.54E+02 m

6)

Is $d\ell =|{\vec {r}}_{2}-{\vec {r}}_{1}|$ valid for uniform circular motion?

a) Yes

b) No

7) A lead filled bicycle wheel of radius 0.37 m and mass 2.3 kg is rotating at a frequency of 1.6 revolutions per second. What is the moment of inertia?

a) 3.15 x 10^-1 kg m²/s²

b) 3.81 x 10^-1 kg m²/s²

c) 4.62 x 10^-1 kg m²/s²

d) 5.6 x 10^-1 kg m²/s²

e) 6.78 x 10^-1 kg m²/s²

8) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 6.27 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.38 m, and moves at a constant speed of 2.94 m/s in the +y direction. What is the value of θ (in radians)?

a) 0.42 radians.

b) 0.49 radians.

c) 0.56 radians.

d) 0.65 radians.

e) 0.74 radians.

9) A large cylinder is filled with water so that the bottom is 7.8 m below the waterline. At the bottom is a small hole with a diameter of 5.4E-4 m. How fast is the water flowing at the hole? (Neglect viscous effects, turbulence, and also assume that the hole is so small that no significant motion occurs at the top of the cylinder.)

a) 8.42E0 m/s

b) 1.02E1 m/s

c) 1.24E1 m/s

d) 1.50E1 m/s

e) 1.81E1 m/s

10) A window is square, with a length of each side equal to 0.93 meters. The glass has a thickness of 15 mm. To decrease the heat loss, you reduce the size of the window by decreasing the length of each side by a factor of 1.55. You also increase the thickness of the glass by a factor of 2.54. If the inside and outside temperatures are unchanged, by what factor have you decreased the heat flow?. By what factor have you decreased the heat flow (assuming the same inside and outside temperatures).

a) 4.16 x 10⁰ unit

b) 5.04 x 10⁰ unit

c) 6.1 x 10⁰ unit

d) 7.39 x 10⁰ unit

e) 8.96 x 10⁰ unit

11) A merry-go round has a period of 0.26 minutes. What is the centripetal force on a 53.3 kg person who is standing 1.35 meters from the center?

a) 7.7 newtons.

b) 8.8 newtons.

c) 10.2 newtons.

d) 11.7 newtons.

e) 13.4 newtons.

12)

A massless bar of length, S = 7.3m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 27.3 degrees above the horizontal. An object of mass, M = 9.1kg is suspended at a length, L =5.3m from the wall. What is the y (vertical) component of the force exerted by the wall on the horizontal bar?

a) 2.44E+01 N

b) 2.96E+01 N

c) 3.59E+01 N

d) 4.34E+01 N

e) 5.26E+01 N

13)

Is $dv/r=d\ell /v$ valid for uniform circular motion?

a) Yes

b) No

14) A particle is initially at the origin and moving in the x direction at a speed of 4.1 m/s. It has an constant acceleration of 1.9 m/s² in the y direction, as well as an acceleration of 0.9 in the x direction. What angle does the velocity make with the x axis at time t = 2.4 s?

a) 27.27 degrees.

b) 31.37 degrees.

c) 36.07 degrees.

d) 41.48 degrees.

e) 47.7 degrees.

15) Mr. Smith is driving at a speed of 5 m/s, when he slows down to a speed of 4 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

a) 11.0 meters

b) 8.0 meters

c) 9.0 meters

d) 12.0 meters

e) 10.0 meters

16)

Is $d\ell =vdt$ valid for uniform circular motion?

a) Yes

b) No

17) A 7.9 cm diameter pipe can fill a 1.5 m^3 volume in 7.0 minutes. Before exiting the pipe, the diameter is reduced to 2.7 cm (with no loss of flow rate). What is the speed in the first (wider) pipe?

a) 6.01E-1 m/s

b) 7.29E-1 m/s

c) 8.83E-1 m/s

d) 1.07E0 m/s

e) 1.30E0 m/s

18) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.61 kg is filled with 0.21 kg of water. You are consulting for the flat earth society, a group of people who believe that the acceleration of gravity equals 9.8 m/s/s at all altitudes. Based on this assumption, from what height must the water and container be dropped to achieve the same change in temperature? (For comparison, Earth's radius is 6,371 kilometers)

a) 6.33 x 10⁰ km

b) 7.66 x 10⁰ km

c) 9.29 x 10⁰ km

d) 1.13 x 10¹ km

e) 1.36 x 10¹ km

19) If you toss a coin into the air, the velocity while it as its highest point is

a) zero

b) down

c) up

20) A car is traveling west and slowing down. The acceleration is

a) to the west

b) zero

c) to the east

21)

Is $dv/d\ell =v/r$ valid for uniform circular motion?

a) Yes

b) No

22)

rilght

In the figure shown, θ is 28 degrees, and the mass is 2.9 kg. What is T₂?

a) 60.54 N.

b) 69.62 N.

c) 80.06 N.

d) 92.07 N.

e) 105.88 N.

23) What is the highest point the cart reaches if the speed was 1.8m/s, when the cart was situated at a height of 2.8m?,

a) 2.42 m

b) 2.54 m

c) 2.67 m

d) 2.80 m

e) 2.94 m

24) A car is headed due north and decreasing its speed. It is also turning left because it is also traveling in a perfect circle. The acceleration vector points

a) southwest

b) west

c) northwest

d) south

e) southeast

25) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

a) 25.0 meters

b) 26.0 meters

c) 27.0 meters

d) 24.0 meters

e) 23.0 meters

26) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

a) 4.0 meters

b) 7.0 meters

c) 6.0 meters

d) 5.0 meters

e) 3.0 meters

27) The spring constant is 704N/m, and the initial compression is 0.13m. What is the mass if the cart reaches a height of 3.02m, before coming to rest?

a) 0.201 kg

b) 0.211 kg

c) 0.222 kg

d) 0.233 kg

e) 0.244 kg

28) Without their shoes, members of a 9 person baseball team have a coefficient of static friction of only 0.23 . But the team wins a game of tug of war due to their superior mass of 675 kg. They are playing against a 5 person basketball team with a net mass of 394 kg. What is the maximum coefficient of static friction of the basketball team?

a) 0.394

b) 0.433

c) 0.477

d) 0.524

e) 0.577

29) A car traveling at 38.1 miles/hour stops in 2.1 seconds. What is the average acceleration?

a) 4.56 x 10⁰ m/s²

b) 8.11 x 10⁰ m/s²

c) 1.44 x 10¹ m/s²

d) 2.56 x 10¹ m/s²

e) 4.56 x 10¹ m/s²

30) A train accelerates uniformly from 9.5 m/s to 24.5 m/s, while travelling a distance of 256 m. What is the 'average' acceleration?

a) 1m/s/s.

b) 1.2m/s/s.

c) 1.43m/s/s.

d) 1.72m/s/s.

e) 2.07m/s/s.

31) Mr. Smith starts from rest and accelerates to 3 m/s in 2 seconds. How far did he travel?

a) 1.0 meters

b) 2.0 meters

c) 4.0 meters

d) 3.0 meters

e) 5.0 meters

32) A 6.4 cm diameter pipe can fill a 1.6 m^3 volume in 4.0 minutes. Before exiting the pipe, the diameter is reduced to 4.8 cm (with no loss of flow rate). What is the pressure difference (in Pascals) between the two regions of the pipe?

a) 4.64E3

b) 5.62E3

c) 6.81E3

d) 8.25E3

e) 9.99E3

33)

Is $dv=adt$ valid for uniform circular motion?

a) Yes

b) No

34) If you toss a coin into the air, the velocity on the way down is

a) down

b) zero

c) up

35) The Smith family is having fun on a high speed train travelling at 47.6 m/s. Mrs. Smith, who is at the front of the train, fires straight towards the back with a bullet that is going forward with respect to Earth at a speed of 23.7 m/s. What was the muzzle speed of her bullet?

a) 15.9 m/s.

b) 23.9 m/s.

c) 35.9 m/s.

d) 53.8 m/s.

e) 80.7 m/s.

36) A ball is kicked horizontally from a height of 2.8 m, at a speed of 7.9m/s. How far does it travel before landing?

a) 3.46 m.

b) 4.15 m.

c) 4.98 m.

d) 5.97 m.

e) 7.17 m.

37)

Is $rd\ell =vdv$ valid for uniform circular motion?

a) Yes

b) No

38) You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

a) 1.218 m/s

b) 1.291 m/s

c) 1.368 m/s

d) 1.450 m/s

e) 1.537 m/s

39)

In the figure shown, θ₁ is 16 degrees , and θ₃ is 35 degrees . The mass has a 'weight' of 28 N. What is the tension, T₁?

a) 19.41 N.

b) 22.32 N.

c) 25.66 N.

d) 29.51 N.

e) 33.94 N.

40) A particle accelerates uniformly at 12.5 m/s/s. How long does it take for the velocity to increase from 968 m/s to 1883 m/s?

a) 42.36 s

b) 50.83 s

c) 61 s

d) 73.2 s

e) 87.84 s

41) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.95 kg is filled with 0.19 kg of water. How much heat does it take to raise both from 32.6 C to 75.6 C?

a) 3.68 x 10⁴ J

b) 4.33 x 10⁴ J

c) 5.11 x 10⁴ J

d) 6.02 x 10⁴ J

e) 7.1 x 10⁴ J

42) A mass with weight (mg) equal to 37 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 65 degrees with respect to the horizontal. What is the tension in each string?

a) 15.4 N.

b) 17.7 N.

c) 20.4 N.

d) 23.5 N.

e) 27 N.

43) A car is traveling east and speeding up. The acceleration is

a) to the east

b) zero

c) to the west

44) The Smith family got in trouble for having fun on a high speed train travelling at 47.6 m/s. Mr. Smith is charged with having fired a pellet gun at his daughter (directly across the isle) with a bullet that had a speed of 90.4 m/s with respect to Earth. How fast was the bullet going relative to the daughter (i.e. train)?

a) 53.4 m/s.

b) 64 m/s.

c) 76.9 m/s.

d) 92.2 m/s.

e) 110.7 m/s.

45)

Is $v/d\ell =r/dv$ valid for uniform circular motion?

a) Yes

b) No

46) What is the root-mean-square of 1, 9, and -10?

a) 4.914 x 10⁰

b) 5.514 x 10⁰

c) 6.187 x 10⁰

d) 6.942 x 10⁰

e) 7.789 x 10⁰

47)

Is $adt/v=vdt/r$ valid for uniform circular motion?

a) Yes

b) No

48) The cart has a mass of 31.70kg. It is moving at a speed of 3.30m/s, when it is at a height of 3.61m. If the spring constant was 665N/m, what was the initial compression?

a) 1.72 m

b) 1.84 m

c) 1.97 m

d) 2.11 m

e) 2.26 m

49) A 3 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.27 . In addition to the surface friction, there is also an air drag equal to 7 N. What is the magnitude (absolute value) of the acceleration?

a) 3.8 m/s².

b) 4.3 m/s².

c) 5 m/s².

d) 5.7 m/s².

e) 6.6 m/s².

50)

Is $|d{\vec {v}}|=adt$ valid for uniform circular motion?

a) Yes

b) No

51) A sled of mass 2.6 kg is on perfectly smooth surface. A string pulls with a tension of 19.3N. At what angle above the horizontal must the string pull in order to achieve an accelerations of 2.5 m/s²?

a) 70.3 degrees

b) 80.9 degrees

c) 93 degrees

d) 106.9 degrees

e) 123 degrees

52) A sled of mass 5.7 kg is at rest on a rough surface. A string pulls with a tension of 43.9N at an angle of 50 degress above the horizontal. What is the normal force?

a) 16.81 N.

b) 19.33 N.

c) 22.23 N.

d) 25.57 N.

e) 29.4 N.

53)

A 1241 heat cycle uses 2.9 moles of an ideal gas. The pressures and volumes are: P₁= 2.3 kPa, P₂= 4.8 kPa. The volumes are V₁= 2.1m³ and V₄= 3.5m³. How much work is done in in one cycle?

a) 1.75 x 10¹ J

b) 5.53 x 10¹ J

c) 1.75 x 10² J

d) 5.53 x 10² J

e) 1.75 x 10³ J

54) If a molecule with atomic mass equal to 9 amu has a speed of 445 m/s, what is the speed at an atom in the same atmosphere of a molecule with an atomic mass of 25 ?

a) 1.82 x 10² m/s

b) 2.2 x 10² m/s

c) 2.67 x 10² m/s

d) 3.23 x 10² m/s

e) 3.92 x 10² m/s

55) What is the gravitational acceleration on a plant that is 1.23 times more dense than Earth, and a radius that is 1.83 times greater than Earth's?

a) 19.2 m/s²

b) 22.1 m/s²

c) 25.4 m/s²

d) 29.2 m/s²

e) 33.5 m/s²

56) If you toss a coin into the air, the acceleration on the way down is

a) zero

b) up

c) down

57) A cylinder with a radius of 0.29 m and a length of 2.8 m is held so that the top circular face is 4.6 m below the water. The mass of the block is 952.0 kg. The mass density of water is 1000kg/m^3. What is the pressure at the top face of the cylinder?

a) 3.07E4 Pa

b) 3.72E4 Pa

c) 4.51E4 Pa

d) 5.46E4 Pa

e) 6.62E4 Pa

58) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 2 seconds. He then travels at this speed for an additional 1 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

a) 9.0 meters

b) 6.0 meters

c) 5.0 meters

d) 8.0 meters

e) 7.0 meters

59) What is the rms speed of a molecule with an atomic mass of 19 if the temperature is 78 degrees Fahrenheit?

a) 4.27 x 10² m/s

b) 5.17 x 10² m/s

c) 6.26 x 10² m/s

d) 7.59 x 10² m/s

e) 9.19 x 10² m/s

60) When a table cloth is quickly pulled out from under dishes, they hardly move. This is because

a) objects don't begin to accelerate until after the force has been applied

b) the cloth is accelerating for such a brief time that there is little motion

c) the cloth is more slippery when it is pulled quickly

61)

A massless bar of length, S = 8.4m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 37.7 degrees above the horizontal. An object of mass, M = 5.1kg is suspended at a length, L = 4.7m from the wall. What is the tension, T, in the string?

a) 1.82E+01 N

b) 2.29E+01 N

c) 2.89E+01 N

d) 3.63E+01 N

e) 4.57E+01 N

62) A 7.0 cm diameter pipe can fill a 2.1 m^3 volume in 8.0 minutes. Before exiting the pipe, the diameter is reduced to 1.7 cm (with no loss of flow rate). If two fluid elements at the center of the pipe are separated by 29.0 mm when they are both in the wide pipe, and we neglect turbulence, what is the separation when both are in the narrow pipe?

a) 4.06E2 mm

b) 4.92E2 mm

c) 5.96E2 mm

d) 7.22E2 mm

e) 8.74E2 mm

63) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 6 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 4 seconds to come to rest. How far did he travel?

a) 18.0 meters

b) 20.0 meters

c) 16.0 meters

d) 17.0 meters

e) 19.0 meters

64) Mr. Smith starts at rest and accelerates to a speed of 4 m/s, in 2 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

a) 19.0 meters

b) 22.0 meters

c) 20.0 meters

d) 21.0 meters

e) 23.0 meters

65) A car is accelerating uniformly at an acceleration of 3.3m/s/s. At x = 5.75m, the speed is 4.95m/s. How fast is it moving at x = 13.75 m?

a) 5.09 m/s.

b) 6.11 m/s.

c) 7.33 m/s.

d) 8.79 m/s.

e) 10.55 m/s.

66)

The moment of inertia of a solid disk of mass, M, and radius, R, is ½ MR². Two identical disks, each with mass 3 kg are attached. The larger disk has a diameter of 0.92 m, and the smaller disk has a diameter of 0.48 m. If a force of 70 N is applied at the rim of the smaller disk, what is the angular acceleration?

a) 2.83 x 10¹ s^-2

b) 3.43 x 10¹ s^-2

c) 4.16 x 10¹ s^-2

d) 5.04 x 10¹ s^-2

e) 6.11 x 10¹ s^-2

67)

A 1241 heat cycle uses 1.9 moles of an ideal gas. The pressures and volumes are: P₁= 2.9 kPa, P₂= 4.7 kPa. The volumes are V₁= 2.7m³ and V₄= 5.6m³. What is the temperature at step 4?

a) 1.03 x 10¹ K

b) 3.25 x 10¹ K

c) 1.03 x 10² K

d) 3.25 x 10² K

e) 1.03 x 10³ K

68) A car is traveling east and slowing down. The acceleration is

a) zero

b) to the west

c) to the east

69) A sled of mass 5.3 kg is at rest on a rough surface. A string pulls with a tension of 46.8N at an angle of 56 degress above the horizontal. What is the magnitude of the friction?

a) 17.21 N.

b) 19.79 N.

c) 22.76 N.

d) 26.17 N.

e) 30.1 N.

70)

Is $dv/d\ell =r/v$ valid for uniform circular motion?

a) Yes

b) No

71)

In the figure shown, θ₁ is 15 degrees, and θ₃ is 37 degrees. The tension T₃ is 22 N. What is the tension, T₁?

a) 11.96 N.

b) 13.75 N.

c) 15.82 N.

d) 18.19 N.

e) 20.92 N.

72) A mass with weight (mg) of 49 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 54 degrees. What is the tension in the string?

a) 27.5 N.

b) 31.6 N.

c) 36.4 N.

d) 41.8 N.

e) 48.1 N.

73)

A 1241 heat cycle uses 2.5 moles of an ideal gas. The pressures and volumes are: P₁= 1.7 kPa, P₂= 4.5 kPa. The volumes are V₁= 1.6m³ and V₄= 2.7m³. How much work is involved between 2 and 4?

a) 1.08 x 10³ J

b) 3.41 x 10³ J

c) 1.08 x 10⁴ J

d) 3.41 x 10⁴ J

e) 1.08 x 10⁵ J

74) If you toss a coin into the air, the acceleration on the way up is

a) down

b) zero

c) up

75)

In the figure shown, the mass of m₁ is 6.8 kg, and the mass of m₂ is 3.3 kg. If the external force, F_ext on m₂ is 112 N, what is the tension in the connecting string? Assume that m₁ has a kinetic coefficient of friction equal to 0.39, and that for m₂ the coefficient is 0.46 .

a) 48.6 N

b) 55.9 N

c) 64.2 N

d) 73.9 N

e) 85 N

76)

Is $d\ell /dv=v/r$ valid for uniform circular motion?

a) Yes

b) No

77) What is the gravitational acceleration on a plant that is 2.05 times more massive than Earth, and a radius that is 1.56 times greater than Earths?

a) 4.7 m/s²

b) 5.4 m/s²

c) 6.2 m/s²

d) 7.2 m/s²

e) 8.3 m/s²

78) On object of mass 2.6 kg that is moving at a velocity of 23m/s collides with a stationary object of mass 18.17 kg. What is the final velocity if they stick? (Assume no external friction.)

a) 2.88m/s.

b) 3.45m/s.

c) 4.15m/s.

d) 4.98m/s.

e) 5.97m/s.

79) A car is headed due north and increasing its speed. It is also turning right because it is also traveling in a perfect circle. The acceleration vector points

a) northeast

b) southwest

c) northwest

d) north

e) south

80) As the Moon circles Earth, the acceleration of the Moon is

a) opposite the direction of the Moon's velocity

b) in the same direction as the Moon's velocity

c) towards Earth

d) zero

e) away from Earth

81) A car is headed due north and increasing its speed. It is also turning right because it is also traveling in a perfect circle. The velocity vector points

a) southwest

b) northwest

c) northeast

d) north

e) south

82)

Is $d\ell =|{\vec {r}}_{2}|-|{\vec {r}}_{1}|$ valid for uniform circular motion?

a) Yes

b) No

83) Mr. Smith is backing his car at a speed of 3.06 mph when he hits a cornfield (seed corn). In the course of 1.29 seconds he stops, puts his car in forward drive, and exits the field at a speed of 5.6 mph. What was the magnitude ( absolute value) of his acceleration?

a) 3.36 x 10⁰ miles per hour per second

b) 4.24 x 10⁰ miles per hour per second

c) 5.33 x 10⁰ miles per hour per second

d) 6.71 x 10⁰ miles per hour per second

e) 8.45 x 10⁰ miles per hour per second

84) A cylinder with a radius of 0.29 m and a length of 2.8 m is held so that the top circular face is 4.6 m below the water. The mass of the block is 952.0 kg. The mass density of water is 1000kg/m^3. What is the force exerted by the fluid on the bottom of the cylinder?

a) 1.52E4 Pa

b) 1.92E4 Pa

c) 2.41E4 Pa

d) 3.04E4 Pa

e) 3.82E4 Pa

85)

In the figure shown, L₁ = 6.6m, L₂ = 3.1m and L₃ = 8.8m. What is F₁ if F₂ =9.2N and F₃ =5.9N?

a) 5.66E+00 N

b) 6.85E+00 N

c) 8.30E+00 N

d) 1.01E+01 N

e) 1.22E+01 N

86) Mr. Smith starts from rest and accelerates to 4 m/s in 5 seconds. How far did he travel?

a) 7.0 meters

b) 9.0 meters

c) 10.0 meters

d) 11.0 meters

e) 8.0 meters

87) In the figure "3 tensions" shown above θ₁ is 17 degrees, and θ₃ is 29 degrees. The tension T₃ is 12 N. What is the weight?

a) 5.9 N.

b) 6.8 N.

c) 7.8 N.

d) 9 N.

e) 10.4 N.

88) A car is traveling in a perfect circle at constant speed. If the car is headed north while turning west, the acceleration is

a) west

b) south

c) zero

d) north

e) east

89) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 5.49 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.35 m, and moves at a constant speed of 2.6 m/s in the +y direction. At what time do they meet?

a) 0.41 s.

b) 0.49 s.

c) 0.58 s.

d) 0.7 s.

e) 0.84 s.

90) Mr. Smith is driving at a speed of 4 m/s, when he slows down to a speed of 1 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

a) 7.0 meters

b) 10.0 meters

c) 9.0 meters

d) 11.0 meters

e) 8.0 meters

91) A cylinder with a radius of 0.33 m and a length of 2.9 m is held so that the top circular face is 4.1 m below the water. The mass of the block is 912.0 kg. The mass density of water is 1000kg/m^3. What is the force exerted by the water at the top surface?

a) 6.89E3 N

b) 8.67E3 N

c) 1.09E4 N

d) 1.37E4 N

e) 1.73E4 N

92) A mass with weight (mg) 6 newtons is on a horzontal surface. It is being pulled on by a string at an angle of 30 degrees above the horizontal, with a force equal to 3.2 newtons. If this is the maximum force before the block starts to move, what is the static coefficient of friction?

a) 0.52

b) 0.63

c) 0.76

d) 0.91

e) 1.09

93)

A 164 gm bullet strikes a ballistic pendulum of mass 2.48 kg (before the bullet struck). After impact, the pendulum rises by 65 cm. What was the speed of the bullet?

a) 54 m/s.

b) 58 m/s.

c) 62 m/s.

d) 66 m/s.

e) 70 m/s.

94) A car is headed due north and increasing its speed. It is also turning left because it is also traveling in a perfect circle. The velocity vector points

a) north

b) southeast

c) northeast

d) northeast

e) northwest

95) If the initial velocity after leaving the spring is 6.90 m/s, how high does it reach before coming to rest?

a) 2.43 m

b) 2.55 m

c) 2.68 m

d) 2.81 m

e) 2.95 m

96) A sled of mass 5.2 kg is at rest on a perfectly smooth surface. A string pulls with a tension of 46N at an angle of 32 degress above the horizontal. How long will it take to reach a speed of 9.1 m/s?

a) 1.05 s

b) 1.21 s

c) 1.39 s

d) 1.6 s

e) 1.84 s

97)

Is $dv=|{\vec {v}}_{2}|-|{\vec {v}}_{1}|$ valid for uniform circular motion?

a) Yes

b) No

98) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

a) 12.0 meters

b) 11.0 meters

c) 10.0 meters

d) 8.0 meters

e) 9.0 meters

99)

A massless bar of length, S = 9.2m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 35.1 degrees above the horizontal. An object of mass, M = 3.5kg is suspended at a length, L = 6.2m from the wall. What is the x (horizontal) component of the force exerted by the wall on the horizontal bar?

a) 2.71E+01 N

b) 3.29E+01 N

c) 3.98E+01 N

d) 4.83E+01 N

e) 5.85E+01 N

100) A car traveling at 30.4 mph increases its speed to 32.9 mph in 6.9 seconds. What is the average acceleration?

a) 5.12 x 10^-2 m/s²

b) 9.11 x 10^-2 m/s²

c) 1.62 x 10^-1 m/s²

d) 2.88 x 10^-1 m/s²

e) 5.12 x 10^-1 m/s²

101) If you toss a coin into the air, the acceleration while it as its highest point is

a) down

b) zero

c) up

102)

In the figure shown (with m₁ = 6.4 kg, m₂ = 3.7 kg, and F_ext = 135 N), what is the acceleration? Assume no friction is present.

a) 13.4 m/s²

b) 15.4 m/s²

c) 17.7 m/s²

d) 20.3 m/s²

e) 23.4 m/s²

103) Mr. Smith starts from rest and accelerates to 4 m/s in 3 seconds. How far did he travel?

a) 4.0 meters

b) 6.0 meters

c) 5.0 meters

d) 7.0 meters

e) 3.0 meters

104) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 6 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 4 seconds to come to rest. How far did he travel?

a) 17.0 meters

b) 13.0 meters

c) 16.0 meters

d) 15.0 meters

e) 14.0 meters

105) A merry-go-round has an angular frequency, $\omega$, equal to 0.174 rad/sec. How many minutes does it take to complete 12.5 revolutions?

a) 5.69 minutes.

b) 6.54 minutes.

c) 7.52 minutes.

d) 8.65 minutes.

e) 9.95 minutes.

106)

In the figure shown, the mass of m₁ is 6.7 kg, and the mass of m₂ is 2.5 kg. If the external force, F_ext on m₂ is 101 N, what is the tension in the connecting string? Assume no friction is present.

a) 55.6 N

b) 64 N

c) 73.6 N

d) 84.6 N

e) 97.3 N

107) A merry-go round has a period of 0.26 minutes. What is the minimum coefficient of static friction that would allow a 53.3 kg person to stand1.35 meters from the center, without grabbing something?

a) 0.019

b) 0.022

c) 0.026

d) 0.03

e) 0.034

108) The Smith family is having fun on a high speed train travelling at 47.6 m/s. Mr. Smith is at the back of the train and fires a pellet gun with a muzzle speed of 29.7 m/s at Mrs. Smith who is at the front of the train. What is the speed of the bullet with respect to Earth?

a) 22.9 m/s.

b) 34.4 m/s.

c) 51.5 m/s.

d) 77.3 m/s.

e) 116 m/s.

109) A lead filled bicycle wheel of radius 0.33 m and mass 2.2 kg is rotating at a frequency of 1.3 revolutions per second. What is the total kinetic if the wheel is rotating about a stationary axis?

a) 6.6 x 10⁰ J

b) 7.99 x 10⁰ J

c) 9.68 x 10⁰ J

d) 1.17 x 10¹ J

e) 1.42 x 10¹ J

110) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.66 kg is filled with 0.11 kg of water. What fraction of the heat went into the aluminum?

a) 3.4 x 10^-1

b) 4.1 x 10^-1

c) 4.8 x 10^-1

d) 5.6 x 10^-1

e) 6.6 x 10^-1

111)

A 1241 heat cycle uses 1.2 moles of an ideal gas. The pressures and volumes are: P₁= 1.1 kPa, P₂= 3.5 kPa. The volumes are V₁= 1.2m³ and V₄= 2.5m³. How much work is involved between 1 and 4?

a) 1.43 x 10¹ J

b) 4.52 x 10¹ J

c) 1.43 x 10² J

d) 4.52 x 10² J

e) 1.43 x 10³ J

112)

rilght

In the figure shown, θ is 33 degrees, and the mass is 3.7 kg. What is T₁?

a) 46.5 N.

b) 55.8 N.

c) 67 N.

d) 80.4 N.

e) 96.5 N.

113) A car is traveling in a perfect circle at constant speed. If the car is headed north while turning east, the acceleration is

a) west

b) east

c) north

d) zero

e) south

114) What is the acceleration if a car travelling at 8.45 m/s makes a skid mark that is 8.5 m long before coming to rest? (Assume uniform acceleration.)

a) 2.43m/s².

b) 2.92m/s².

c) 3.5m/s².

d) 4.2m/s².

e) 5.04m/s².

115) A car with a tire radius of 0.37 m accelerates from 0 to 28 m/s in 11.9 seconds. What is the angular acceleration of the wheel?

a) 6.36 x 10⁰ m

b) 7.7 x 10⁰ m

c) 9.33 x 10⁰ m

d) 1.13 x 10¹ m

e) 1.37 x 10¹ m

116) A car of mass 856 kg is driving on an icy road at a speed of 19 m/s, when it collides with a stationary truck. After the collision they stick and move at a speed of 4.7 m/s. What was the mass of the truck?

a) 1507 kg

b) 1809 kg

c) 2170 kg

d) 2604 kg

e) 3125 kg

117) A car is headed due north and decreasing its speed. It is also turning right because it is also traveling in a perfect circle. The acceleration vector points

a) south

b) north

c) southeast

d) northwest

e) northeast

118)

Is $dv=|{\vec {v}}_{2}-{\vec {v}}_{1}|$ valid for uniform circular motion?

a) Yes

b) No

119) The Smith family is having fun on a high speed train travelling at 47.5 m/s. The daugher fires at Mr. Smith with a pellet gun whose muzzle speed is 28.2 m/s. She was situated across the isle, perpendicular to the length of the train. What is the speed of her bullet with respect to Earth?

a) 24.6 m/s.

b) 36.8 m/s.

c) 55.2 m/s.

d) 82.9 m/s.

e) 124.3 m/s.

120) If you toss a coin into the air, the velocity on the way up is

a) down

b) zero

c) up

121)

In the figure shown, L₁ = 6.6m, L₂ = 4.4m and L₃ = 7.4m. What is F₂ if F₁ =0.93N and F₃ =0N?

a) 6.48E-01 N

b) 7.84E-01 N

c) 9.50E-01 N

d) 1.15E+00 N

e) 1.39E+00 N

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Key: A0

1) A car traveling at 38.1 miles/hour stops in 2.1 seconds. What is the average acceleration?

-a) 4.56 x 10⁰ m/s²

+b) 8.11 x 10⁰ m/s²

-c) 1.44 x 10¹ m/s²

-d) 2.56 x 10¹ m/s²

-e) 4.56 x 10¹ m/s²

2) A car completes a complete circle of radius 2.2 miles at a speed of 63.6 miles per hour. How many minutes does it take?

-a) 9.78 x 10⁰ minutes

+b) 1.3 x 10¹ minutes

-c) 1.74 x 10¹ minutes

-d) 2.32 x 10¹ minutes

-e) 3.09 x 10¹ minutes

3) A car traveling at 29.4 mph increases its speed to 32.7 mph in 5.3 seconds. What is the average acceleration?

-a) 8.8 x 10^-2 m/s²

-b) 1.57 x 10^-1 m/s²

+c) 2.78 x 10^-1 m/s²

-d) 4.95 x 10^-1 m/s²

-e) 8.8 x 10^-1 m/s²

4) Mr. Smith is backing his car at a speed of 3.12 mph when he hits a cornfield (seed corn). In the course of 2.39 seconds he stops, puts his car in forward drive, and exits the field at a speed of 6.32 mph. What was the magnitude ( absolute value) of his acceleration?

+a) 3.95 x 10⁰ miles per hour per second

-b) 4.97 x 10⁰ miles per hour per second

-c) 6.26 x 10⁰ miles per hour per second

-d) 7.88 x 10⁰ miles per hour per second

-e) 9.92 x 10⁰ miles per hour per second

5) A car is accelerating uniformly at an acceleration of 2.6m/s/s. At x = 5.5m, the speed is 3.2m/s. How fast is it moving at x = 13.25 m?

+a) 7.11 m/s.

-b) 8.53 m/s.

-c) 10.24 m/s.

-d) 12.28 m/s.

-e) 14.74 m/s.

6) What is the acceleration if a car travelling at 8.45 m/s makes a skid mark that is 8.5 m long before coming to rest? (Assume uniform acceleration.)

-a) 2.43m/s².

-b) 2.92m/s².

-c) 3.5m/s².

+d) 4.2m/s².

-e) 5.04m/s².

7) A train accelerates uniformly from 15.75 m/s to 30.375 m/s, while travelling a distance of 357 m. What is the 'average' acceleration?

-a) 0.55m/s/s.

-b) 0.66m/s/s.

-c) 0.79m/s/s.

+d) 0.94m/s/s.

-e) 1.13m/s/s.

8) A particle accelerates uniformly at 13 m/s/s. How long does it take for the velocity to increase from 1024 m/s to 1888 m/s?

-a) 46.15 s

-b) 55.38 s

+c) 66.46 s

-d) 79.75 s

-e) 95.7 s

9) Mr. Smith starts from rest and accelerates to 4 m/s in 3 seconds. How far did he travel?

+a) 6.0 meters

-b) 4.0 meters

-c) 7.0 meters

-d) 5.0 meters

-e) 3.0 meters

10) Mr. Smith starts from rest and accelerates to 4 m/s in 5 seconds. How far did he travel?

-a) 7.0 meters

-b) 8.0 meters

+c) 10.0 meters

-d) 11.0 meters

-e) 9.0 meters

11) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

-a) 8.0 meters

-b) 10.0 meters

-c) 11.0 meters

+d) 12.0 meters

-e) 9.0 meters

12) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 2 seconds. He then travels at this speed for an additional 1 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

-a) 8.0 meters

-b) 5.0 meters

-c) 7.0 meters

-d) 9.0 meters

+e) 6.0 meters

13) Mr. Smith is driving at a speed of 4 m/s, when he slows down to a speed of 1 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

-a) 7.0 meters

-b) 9.0 meters

-c) 8.0 meters

+d) 10.0 meters

-e) 11.0 meters

14) Mr. Smith starts at rest and accelerates to a speed of 4 m/s, in 2 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

+a) 20.0 meters

-b) 22.0 meters

-c) 23.0 meters

-d) 21.0 meters

-e) 19.0 meters

15) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

-a) 4.0 meters

-b) 7.0 meters

-c) 6.0 meters

+d) 3.0 meters

-e) 5.0 meters

16) Mr. Smith is driving at a speed of 5 m/s, when he slows down to a speed of 4 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

-a) 8.0 meters

-b) 12.0 meters

+c) 9.0 meters

-d) 11.0 meters

-e) 10.0 meters

17) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 6 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 4 seconds to come to rest. How far did he travel?

-a) 17.0 meters

+b) 16.0 meters

-c) 19.0 meters

-d) 20.0 meters

-e) 18.0 meters

18) Mr. Smith starts from rest and accelerates to 3 m/s in 2 seconds. How far did he travel?

-a) 2.0 meters

-b) 4.0 meters

-c) 5.0 meters

-d) 1.0 meters

+e) 3.0 meters

19) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

+a) 24.0 meters

-b) 25.0 meters

-c) 23.0 meters

-d) 27.0 meters

-e) 26.0 meters

20) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 6 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 4 seconds to come to rest. How far did he travel?

+a) 16.0 meters

-b) 14.0 meters

-c) 17.0 meters

-d) 13.0 meters

-e) 15.0 meters

21) A ball is kicked horizontally from a height of 3 m, at a speed of 10m/s. How far does it travel before landing?

-a) 6.52 m.

+b) 7.82 m.

-c) 9.39 m.

-d) 11.27 m.

-e) 13.52 m.

22) A particle is initially at the origin and moving in the x direction at a speed of 4.1 m/s. It has an constant acceleration of 1.5 m/s² in the y direction, as well as an acceleration of 0.7 in the x direction. What angle does the velocity make with the x axis at time t = 2.2 s?

-a) 17.34 degrees.

-b) 19.94 degrees.

-c) 22.94 degrees.

-d) 26.38 degrees.

+e) 30.33 degrees.

23) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 5.94 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.92 m, and moves at a constant speed of 2.89 m/s in the +y direction. At what time do they meet?

-a) 0.33 s.

-b) 0.39 s.

-c) 0.47 s.

+d) 0.56 s.

-e) 0.68 s.

24) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 8.02 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.27 m, and moves at a constant speed of 2.5 m/s in the +y direction. What is the value of θ (in radians)?

-a) 0.18 radians.

-b) 0.21 radians.

-c) 0.24 radians.

-d) 0.28 radians.

+e) 0.32 radians.

25) The Smith family is having fun on a high speed train travelling at 42.3 m/s. Mr. Smith is at the back of the train and fires a pellet gun with a muzzle speed of 25.2 m/s at Mrs. Smith who is at the front of the train. What is the speed of the bullet with respect to Earth?

-a) 30 m/s.

-b) 45 m/s.

+c) 67.5 m/s.

-d) 101.3 m/s.

-e) 151.9 m/s.

26) The Smith family is having fun on a high speed train travelling at 47.5 m/s. Mrs. Smith, who is at the front of the train, fires straight towards the back with a bullet that is going forward with respect to Earth at a speed of 25.5 m/s. What was the muzzle speed of her bullet?

-a) 9.8 m/s.

-b) 14.7 m/s.

+c) 22 m/s.

-d) 33 m/s.

-e) 49.5 m/s.

27) The Smith family is having fun on a high speed train travelling at 47.6 m/s. The daugher fires at Mr. Smith with a pellet gun whose muzzle speed is 23.8 m/s. She was situated across the isle, perpendicular to the length of the train. What is the speed of her bullet with respect to Earth?

-a) 10.5 m/s.

-b) 15.8 m/s.

-c) 23.7 m/s.

-d) 35.5 m/s.

+e) 53.2 m/s.

28) The Smith family got in trouble for having fun on a high speed train travelling at 47.6 m/s. Mr. Smith is charged with having fired a pellet gun at his daughter (directly across the isle) with a bullet that had a speed of 88.1 m/s with respect to Earth. How fast was the bullet going relative to the daughter (i.e. train)?

-a) 35.8 m/s.

-b) 42.9 m/s.

-c) 51.5 m/s.

-d) 61.8 m/s.

+e) 74.1 m/s.

29) When a table cloth is quickly pulled out from under dishes, they hardly move. This is because

-a) objects don't begin to accelerate until after the force has been applied

-b) the cloth is more slippery when it is pulled quickly

+c) the cloth is accelerating for such a brief time that there is little motion

30) If you toss a coin into the air, the acceleration while it as its highest point is

-a) up

+b) down

-c) zero

31) If you toss a coin into the air, the velocity on the way up is

+a) up

-b) zero

-c) down

32) If you toss a coin into the air, the velocity on the way down is

+a) down

-b) up

-c) zero

33) If you toss a coin into the air, the velocity while it as its highest point is

-a) down

+b) zero

-c) up

34) A car is headed due north and increasing its speed. It is also turning left because it is also traveling in a perfect circle. The acceleration vector points

-a) south

-b) southwest

-c) northeast

-d) north

+e) northwest

35) A car is headed due north and increasing its speed. It is also turning right because it is also traveling in a perfect circle. The acceleration vector points

-a) northwest

+b) northeast

-c) southwest

-d) south

-e) north

36) A car is headed due north and increasing its speed. It is also turning left because it is also traveling in a perfect circle. The velocity vector points

-a) northeast

-b) northeast

+c) north

-d) southeast

-e) northwest

37) A car is headed due north and increasing its speed. It is also turning right because it is also traveling in a perfect circle. The velocity vector points

-a) northeast

-b) south

-c) northwest

+d) north

-e) southwest

38) A car is headed due north and decreasing its speed. It is also turning left because it is also traveling in a perfect circle. The acceleration vector points

-a) south

-b) northwest

+c) southwest

-d) southeast

-e) west

39) A car is headed due north and decreasing its speed. It is also turning right because it is also traveling in a perfect circle. The acceleration vector points

+a) southeast

-b) north

-c) northwest

-d) northeast

-e) south

40) A car is traveling west and slowing down. The acceleration is

+a) to the east

-b) zero

-c) to the west

41) A car is traveling east and slowing down. The acceleration is

-a) to the east

-b) zero

+c) to the west

42) A car is traveling east and speeding up. The acceleration is

-a) zero

+b) to the east

-c) to the west

43) If you toss a coin into the air, the acceleration on the way up is

+a) down

-b) zero

-c) up

44) A car is traveling in a perfect circle at constant speed. If the car is headed north while turning west, the acceleration is

-a) south

-b) north

+c) west

-d) zero

-e) east

45) A car is traveling in a perfect circle at constant speed. If the car is headed north while turning east, the acceleration is

-a) west

+b) east

-c) zero

-d) south

-e) north

46) As the Moon circles Earth, the acceleration of the Moon is

-a) away from Earth

-b) opposite the direction of the Moon's velocity

-c) in the same direction as the Moon's velocity

-d) zero

+e) towards Earth

47) If you toss a coin into the air, the acceleration on the way down is

-a) up

-b) zero

+c) down

48) A mass with weight (mg) of 48 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 46 degrees. What is the tension in the string?

-a) 22.7 N.

+b) 26.1 N.

-c) 30 N.

-d) 34.5 N.

-e) 39.7 N.

49) A mass with weight (mg) equal to 34 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 14 degrees with respect to the horizontal. What is the tension in each string?

-a) 61.1 N.

+b) 70.3 N.

-c) 80.8 N.

-d) 92.9 N.

-e) 106.9 N.

50) A 3 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.27 . In addition to the surface friction, there is also an air drag equal to 7 N. What is the magnitude (absolute value) of the acceleration?

-a) 3.8 m/s².

-b) 4.3 m/s².

+c) 5 m/s².

-d) 5.7 m/s².

-e) 6.6 m/s².

51) A mass with weight (mg) 7.9 newtons is on a horzontal surface. It is being pulled on by a string at an angle of 30 degrees above the horizontal, with a force equal to 1.64 newtons. If this is the maximum force before the block starts to move, what is the static coefficient of friction?

-a) 0.1

-b) 0.12

-c) 0.14

-d) 0.17

+e) 0.2

52) A sled of mass 5.9 kg is at rest on a rough surface. A string pulls with a tension of 43.6N at an angle of 38 degress above the horizontal. What is the magnitude of the friction?

-a) 19.64 N.

-b) 22.59 N.

-c) 25.98 N.

-d) 29.88 N.

+e) 34.36 N.

53) A sled of mass 5.5 kg is at rest on a rough surface. A string pulls with a tension of 41.3N at an angle of 34 degress above the horizontal. What is the normal force?

-a) 26.79 N.

+b) 30.81 N.

-c) 35.43 N.

-d) 40.74 N.

-e) 46.85 N.

54) A sled of mass 5.7 kg is at rest on a perfectly smooth surface. A string pulls with a tension of 41.7N at an angle of 55 degress above the horizontal. How long will it take to reach a speed of 10.5 m/s?

-a) 1.89 s

-b) 2.18 s

+c) 2.5 s

-d) 2.88 s

-e) 3.31 s

55) A sled of mass 2.6 kg is on perfectly smooth surface. A string pulls with a tension of 19.2N. At what angle above the horizontal must the string pull in order to achieve an accelerations of 2.4 m/s²?

-a) 53.7 degrees

-b) 61.8 degrees

+c) 71 degrees

-d) 81.7 degrees

-e) 93.9 degrees

56)

In the figure shown, θ₁ is 17 degrees, and θ₃ is 30 degrees. The tension T₃ is 46 N. What is the tension, T₁?

-a) 36.22 N.

+b) 41.66 N.

-c) 47.91 N.

-d) 55.09 N.

-e) 63.36 N.

57) In the figure "3 tensions" shown above θ₁ is 20 degrees, and θ₃ is 29 degrees. The tension T₃ is 25 N. What is the weight?

+a) 20.1 N.

-b) 23.1 N.

-c) 26.6 N.

-d) 30.5 N.

-e) 35.1 N.

58)

rilght

In the figure shown, θ is 32 degrees, and the mass is 2.8 kg. What is T₂?

-a) 45.03 N.

+b) 51.78 N.

-c) 59.55 N.

-d) 68.48 N.

-e) 78.75 N.

59)

rilght

In the figure shown, θ is 33 degrees, and the mass is 2.7 kg. What is T₁?

+a) 40.7 N.

-b) 48.9 N.

-c) 58.7 N.

-d) 70.4 N.

-e) 84.5 N.

60)

In the figure shown, θ₁ is 17 degrees , and θ₃ is 33 degrees . The mass has a 'weight' of 33 N. What is the tension, T₁?

-a) 27.32 N.

-b) 31.42 N.

+c) 36.13 N.

-d) 41.55 N.

-e) 47.78 N.

61)

In the figure shown, the mass of m₁ is 5.4 kg, and the mass of m₂ is 3.9 kg. If the external force, F_ext on m₂ is 136 N, what is the tension in the connecting string? Assume no friction is present.

+a) 79 N

-b) 90.8 N

-c) 104.4 N

-d) 120.1 N

-e) 138.1 N

62)

In the figure shown (with m₁ = 6.4 kg, m₂ = 3.7 kg, and F_ext = 135 N), what is the acceleration? Assume no friction is present.

+a) 13.4 m/s²

-b) 15.4 m/s²

-c) 17.7 m/s²

-d) 20.3 m/s²

-e) 23.4 m/s²

63) Nine barefoot baseball players, with a total mass of 679 kg plays tug of war against five basketball players wearing shoes that provide a static coefficient of friction of 0.61 . The net mass of the (shoed) basketball team is 380 kg. What is the maximum coefficient of the barefoot boys if they lose?

-a) 0.31

+b) 0.341

-c) 0.376

-d) 0.413

-e) 0.454

64) Without their shoes, members of a 9 person baseball team have a coefficient of static friction of only 0.23 . But the team wins a game of tug of war due to their superior mass of 607 kg. They are playing against a 5 person basketball team with a net mass of 429 kg. What is the maximum coefficient of static friction of the basketball team?

-a) 0.269

-b) 0.296

+c) 0.325

-d) 0.358

-e) 0.394

65)

In the figure shown, the mass of m₁ is 6.5 kg, and the mass of m₂ is 2.9 kg. If the external force, F_ext on m₂ is 132 N, what is the tension in the connecting string? Assume that m₁ has a kinetic coefficient of friction equal to 0.37, and that for m₂ the coefficient is 0.48 .

+a) 89.1 N

-b) 102.5 N

-c) 117.9 N

-d) 135.5 N

-e) 155.9 N

66) A merry-go-round has an angular frequency, $\omega$, equal to 0.192 rad/sec. How many minutes does it take to complete 8.5 revolutions?

-a) 3.05 minutes.

-b) 3.51 minutes.

-c) 4.03 minutes.

+d) 4.64 minutes.

-e) 5.33 minutes.

67) A merry-go round has a period of 0.26 minutes. What is the centripetal force on a 53.3 kg person who is standing 1.35 meters from the center?

-a) 7.7 newtons.

-b) 8.8 newtons.

-c) 10.2 newtons.

+d) 11.7 newtons.

-e) 13.4 newtons.

68) A merry-go round has a period of 0.38 minutes. What is the minimum coefficient of static friction that would allow a 64.8 kg person to stand1.76 meters from the center, without grabbing something?

-a) 0.008

-b) 0.009

-c) 0.01

-d) 0.012

+e) 0.014

69) What is the gravitational acceleration on a plant that is 1.34 times more massive than Earth, and a radius that is 1.45 times greater than Earths?

-a) 4.7 m/s²

-b) 5.4 m/s²

+c) 6.2 m/s²

-d) 7.2 m/s²

-e) 8.3 m/s²

70) What is the gravitational acceleration on a plant that is 1.47 times more dense than Earth, and a radius that is 1.42 times greater than Earth's?

+a) 20.5 m/s²

-b) 23.5 m/s²

-c) 27.1 m/s²

-d) 31.1 m/s²

-e) 35.8 m/s²

71)

Is $dv/d\ell =v/r$ valid for uniform circular motion?

+a) Yes

-b) No

72)

Is $dv/r=d\ell /v$ valid for uniform circular motion?

-a) Yes

+b) No

73)

Is $rd\ell =vdv$ valid for uniform circular motion?

-a) Yes

+b) No

74)

Is $dv=|{\vec {v}}_{2}|-|{\vec {v}}_{1}|$ valid for uniform circular motion?

-a) Yes

+b) No

75)

Is $d\ell /dv=v/r$ valid for uniform circular motion?

-a) Yes

+b) No

76)

Is $dv/d\ell =r/v$ valid for uniform circular motion?

-a) Yes

+b) No

77)

Is $dv=|{\vec {v}}_{2}-{\vec {v}}_{1}|$ valid for uniform circular motion?

+a) Yes

-b) No

78)

Is $d\ell =vdt$ valid for uniform circular motion?

+a) Yes

-b) No

79)

Is $adt/v=vdt/r$ valid for uniform circular motion?

+a) Yes

-b) No

80)

Is $dv=adt$ valid for uniform circular motion?

+a) Yes

-b) No

81)

Is $|d{\vec {v}}|=adt$ valid for uniform circular motion?

+a) Yes

-b) No

82)

Is $d\ell =|{\vec {r}}_{2}-{\vec {r}}_{1}|$ valid for uniform circular motion?

+a) Yes

-b) No

83)

Is $d\ell =|{\vec {r}}_{2}|-|{\vec {r}}_{1}|$ valid for uniform circular motion?

-a) Yes

+b) No

84)

Is $v/d\ell =r/dv$ valid for uniform circular motion?

-a) Yes

+b) No

85) If the initial velocity after leaving the spring is 5.30 m/s, how high does it reach before coming to rest?

-a) 1.24 m

-b) 1.30 m

-c) 1.36 m

+d) 1.43 m

-e) 1.50 m

86) The mass of the cart is 4.0kg, and the spring constant is 9395N/m. If the initial compression of the spring is 4.00m, how high does it reach before coming to rest?

-a) 1.66E+03 m

-b) 1.74E+03 m

-c) 1.83E+03 m

+d) 1.92E+03 m

-e) 2.01E+03 m

87) What is the highest point the cart reaches if the speed was 2.4m/s, when the cart was situated at a height of 2.3m?,

-a) 1.99 m

-b) 2.09 m

-c) 2.19 m

+d) 2.30 m

-e) 2.42 m

88) The spring constant is 525N/m, and the initial compression is 0.19m. What is the mass if the cart reaches a height of 1.17m, before coming to rest?

-a) 0.714 kg

-b) 0.750 kg

-c) 0.787 kg

+d) 0.826 kg

-e) 0.868 kg

89) The cart has a mass of 38.00kg. It is moving at a speed of 2.10m/s, when it is at a height of 3.71m. If the spring constant was 540N/m, what was the initial compression?

-a) 1.78 m

-b) 1.90 m

-c) 2.03 m

-d) 2.18 m

+e) 2.33 m

90) You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

+a) 1.291 m/s

-b) 1.368 m/s

-c) 1.450 m/s

-d) 1.537 m/s

-e) 1.630 m/s

91) On object of mass 2.5 kg that is moving at a velocity of 23m/s collides with a stationary object of mass 17.94 kg. What is the final velocity if they stick? (Assume no external friction.)

-a) 1.95m/s.

-b) 2.34m/s.

+c) 2.81m/s.

-d) 3.38m/s.

-e) 4.05m/s.

92) A car of mass 863 kg is driving on an icy road at a speed of 25 m/s, when it collides with a stationary truck. After the collision they stick and move at a speed of 5.7 m/s. What was the mass of the truck?

-a) 2435 kg

+b) 2922 kg

-c) 3507 kg

-d) 4208 kg

-e) 5049 kg

93)

A 161 gm bullet strikes a ballistic pendulum of mass 2.1 kg (before the bullet struck). After impact, the pendulum rises by 65 cm. What was the speed of the bullet?

-a) 44 m/s.

-b) 47 m/s.

+c) 50 m/s.

-d) 54 m/s.

-e) 57 m/s.

94)

A massless bar of length, S = 9.6m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 29.9 degrees above the horizontal. An object of mass, M = 8.6kg is suspended at a length, L = 5m from the wall. What is the tension, T, in the string?

+a) 8.81E+01 N

-b) 1.11E+02 N

-c) 1.40E+02 N

-d) 1.76E+02 N

-e) 2.21E+02 N

95)

In the figure shown, L₁ = 5.3m, L₂ = 3.3m and L₃ = 8.7m. What is F₁ if F₂ =8.7N and F₃ =6N?

-a) 7.09E+00 N

-b) 8.58E+00 N

-c) 1.04E+01 N

-d) 1.26E+01 N

+e) 1.53E+01 N

96)

A massless bar of length, S = 8m is attached to a wall by a frictionless hinge (shown as a circle). The bar is held horizontal by a string that makes and angle θ = 35.4 degrees above the horizontal. An object of mass, M = 8.3kg is suspended at a length, L = 5m from the wall. What is the x (horizontal) component of the force exerted by the wall on the horizontal bar?

+a) 7.15E+01 N

-b) 8.67E+01 N

-c) 1.05E+02 N

-d) 1.27E+02 N

-e) 1.54E+02 N

97)

In the figure shown, L₁ = 6.8m, L₂ = 4.8m and L₃ = 8.7m. What is F₂ if F₁ =0.89N and F₃ =0.1N?

-a) 8.91E-01 N

+b) 1.08E+00 N

-c) 1.31E+00 N

-d) 1.58E+00 N

-e) 1.92E+00 N

98)

A massless bar of length, S = 9.8m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 36.7 degrees above the horizontal. An object of mass, M = 4.7kg is suspended at a length, L =4.4m from the wall. What is the y (vertical) component of the force exerted by the wall on the horizontal bar?

-a) 1.18E+01 N

-b) 1.43E+01 N

-c) 1.73E+01 N

-d) 2.09E+01 N

+e) 2.54E+01 N

99) A car with a tire radius of 0.24 m accelerates from 0 to 33 m/s in 8.5 seconds. What is the angular acceleration of the wheel?

-a) 1.34 x 10¹ m

+b) 1.62 x 10¹ m

-c) 1.96 x 10¹ m

-d) 2.37 x 10¹ m

-e) 2.88 x 10¹ m

100) A lead filled bicycle wheel of radius 0.58 m and mass 2.8 kg is rotating at a frequency of 1.8 revolutions per second. What is the moment of inertia?

+a) 9.42 x 10^-1 kg m²/s²

-b) 1.14 x 10⁰ kg m²/s²

-c) 1.38 x 10⁰ kg m²/s²

-d) 1.67 x 10⁰ kg m²/s²

-e) 2.03 x 10⁰ kg m²/s²

101) A lead filled bicycle wheel of radius 0.33 m and mass 2.2 kg is rotating at a frequency of 1.3 revolutions per second. What is the total kinetic if the wheel is rotating about a stationary axis?

-a) 6.6 x 10⁰ J

+b) 7.99 x 10⁰ J

-c) 9.68 x 10⁰ J

-d) 1.17 x 10¹ J

-e) 1.42 x 10¹ J

102)

The moment of inertia of a solid disk of mass, M, and radius, R, is ½ MR². Two identical disks, each with mass 3.6 kg are attached. The larger disk has a diameter of 0.71 m, and the smaller disk has a diameter of 0.32 m. If a force of 13 N is applied at the rim of the smaller disk, what is the angular acceleration?

-a) 5.19 x 10⁰ s^-2

-b) 6.29 x 10⁰ s^-2

+c) 7.62 x 10⁰ s^-2

-d) 9.23 x 10⁰ s^-2

-e) 1.12 x 10¹ s^-2

103) A cylinder with a radius of 0.33 m and a length of 2.9 m is held so that the top circular face is 4.1 m below the water. The mass of the block is 912.0 kg. The mass density of water is 1000kg/m^3. What is the pressure at the top face of the cylinder?

-a) 2.26E4 Pa

-b) 2.74E4 Pa

-c) 3.32E4 Pa

+d) 4.02E4 Pa

-e) 4.87E4 Pa

104) A cylinder with a radius of 0.29 m and a length of 2.8 m is held so that the top circular face is 4.6 m below the water. The mass of the block is 952.0 kg. The mass density of water is 1000kg/m^3. What is the buoyant force?

-a) 4.94E3 N

-b) 5.98E3 N

+c) 7.25E3 N

-d) 8.78E3 N

-e) 1.06E4 N

105) A cylinder with a radius of 0.38 m and a length of 2.2 m is held so that the top circular face is 3.8 m below the water. The mass of the block is 903.0 kg. The mass density of water is 1000kg/m^3. What is the force exerted by the water at the top surface?

-a) 1.07E4 N

-b) 1.34E4 N

+c) 1.69E4 N

-d) 2.13E4 N

-e) 2.68E4 N

106) A cylinder with a radius of 0.29 m and a length of 2.8 m is held so that the top circular face is 4.6 m below the water. The mass of the block is 952.0 kg. The mass density of water is 1000kg/m^3. What is the force exerted by the fluid on the bottom of the cylinder?

-a) 1.52E4 Pa

+b) 1.92E4 Pa

-c) 2.41E4 Pa

-d) 3.04E4 Pa

-e) 3.82E4 Pa

107) A 6.4 cm diameter pipe can fill a 1.8 m^3 volume in 8.0 minutes. Before exiting the pipe, the diameter is reduced to 3.7 cm (with no loss of flow rate). What is the speed in the first (wider) pipe?

-a) 7.94E-1 m/s

-b) 9.62E-1 m/s

+c) 1.17E0 m/s

-d) 1.41E0 m/s

-e) 1.71E0 m/s

108) A 9.4 cm diameter pipe can fill a 1.5 m^3 volume in 7.0 minutes. Before exiting the pipe, the diameter is reduced to 1.7 cm (with no loss of flow rate). What is the pressure difference (in Pascals) between the two regions of the pipe?

+a) 1.24E5

-b) 1.50E5

-c) 1.82E5

-d) 2.20E5

-e) 2.66E5

109) A 9.2 cm diameter pipe can fill a 1.6 m^3 volume in 8.0 minutes. Before exiting the pipe, the diameter is reduced to 4.0 cm (with no loss of flow rate). If two fluid elements at the center of the pipe are separated by 34.0 mm when they are both in the wide pipe, and we neglect turbulence, what is the separation when both are in the narrow pipe?

-a) 1.23E2 mm

-b) 1.48E2 mm

+c) 1.80E2 mm

-d) 2.18E2 mm

-e) 2.64E2 mm

110) A large cylinder is filled with water so that the bottom is 8.8 m below the waterline. At the bottom is a small hole with a diameter of 6.3E-4 m. How fast is the water flowing at the hole? (Neglect viscous effects, turbulence, and also assume that the hole is so small that no significant motion occurs at the top of the cylinder.)

-a) 1.08E1 m/s

+b) 1.31E1 m/s

-c) 1.59E1 m/s

-d) 1.93E1 m/s

-e) 2.34E1 m/s

111) What is the root-mean-square of -20, 40, and -32?

-a) 2.522 x 10¹

-b) 2.83 x 10¹

+c) 3.175 x 10¹

-d) 3.562 x 10¹

-e) 3.997 x 10¹

112) What is the rms speed of a molecule with an atomic mass of 18 if the temperature is 113 degrees Fahrenheit?

-a) 3.08 x 10² m/s

-b) 3.73 x 10² m/s

-c) 4.52 x 10² m/s

-d) 5.48 x 10² m/s

+e) 6.64 x 10² m/s

113) If a molecule with atomic mass equal to 2 amu has a speed of 305 m/s, what is the speed at an atom in the same atmosphere of a molecule with an atomic mass of 29 ?

+a) 8.01 x 10¹ m/s

-b) 9.7 x 10¹ m/s

-c) 1.18 x 10² m/s

-d) 1.42 x 10² m/s

-e) 1.73 x 10² m/s

114) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.99 kg is filled with 0.26 kg of water. How much heat does it take to raise both from 54.4 C to 78.1 C?

-a) 2.43 x 10⁴ J

-b) 2.86 x 10⁴ J

-c) 3.38 x 10⁴ J

-d) 3.98 x 10⁴ J

+e) 4.69 x 10⁴ J

115) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.82 kg is filled with 0.11 kg of water. What fraction of the heat went into the aluminum?

-a) 3.8 x 10^-1

-b) 4.4 x 10^-1

-c) 5.2 x 10^-1

+d) 6.2 x 10^-1

-e) 7.3 x 10^-1

116) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.82 kg is filled with 0.11 kg of water. You are consulting for the flat earth society, a group of people who believe that the acceleration of gravity equals 9.8 m/s/s at all altitudes. Based on this assumption, from what height must the water and container be dropped to achieve the same change in temperature? (For comparison, Earth's radius is 6,371 kilometers)

-a) 4.68 x 10⁰ km

-b) 5.67 x 10⁰ km

-c) 6.87 x 10⁰ km

-d) 8.32 x 10⁰ km

+e) 1.01 x 10¹ km

117) A window is square, with a length of each side equal to 0.78 meters. The glass has a thickness of 11 mm. To decrease the heat loss, you reduce the size of the window by decreasing the length of each side by a factor of 1.31. You also increase the thickness of the glass by a factor of 2.97. If the inside and outside temperatures are unchanged, by what factor have you decreased the heat flow?. By what factor have you decreased the heat flow (assuming the same inside and outside temperatures).

-a) 2.37 x 10⁰ unit

-b) 2.87 x 10⁰ unit

-c) 3.47 x 10⁰ unit

-d) 4.21 x 10⁰ unit

+e) 5.1 x 10⁰ unit

118)

A 1241 heat cycle uses 1.6 moles of an ideal gas. The pressures and volumes are: P₁= 1.9 kPa, P₂= 3.6 kPa. The volumes are V₁= 1.6m³ and V₄= 3.3m³. How much work is done in in one cycle?

-a) 4.57 x 10¹ J

-b) 1.45 x 10² J

-c) 4.57 x 10² J

+d) 1.45 x 10³ J

-e) 4.57 x 10³ J

119)

A 1241 heat cycle uses 2 moles of an ideal gas. The pressures and volumes are: P₁= 1.5 kPa, P₂= 2.7 kPa. The volumes are V₁= 1.9m³ and V₄= 3.3m³. How much work is involved between 1 and 4?

-a) 6.64 x 10² J

+b) 2.1 x 10³ J

-c) 6.64 x 10³ J

-d) 2.1 x 10⁴ J

-e) 6.64 x 10⁴ J

120)

A 1241 heat cycle uses 2.5 moles of an ideal gas. The pressures and volumes are: P₁= 1.7 kPa, P₂= 4.5 kPa. The volumes are V₁= 1.6m³ and V₄= 2.7m³. How much work is involved between 2 and 4?

-a) 1.08 x 10³ J

+b) 3.41 x 10³ J

-c) 1.08 x 10⁴ J

-d) 3.41 x 10⁴ J

-e) 1.08 x 10⁵ J

121)

A 1241 heat cycle uses 1.3 moles of an ideal gas. The pressures and volumes are: P₁= 1.6 kPa, P₂= 4.3 kPa. The volumes are V₁= 2.9m³ and V₄= 5.8m³. What is the temperature at step 4?

-a) 8.59 x 10⁰ K

-b) 2.71 x 10¹ K

-c) 8.59 x 10¹ K

-d) 2.71 x 10² K

+e) 8.59 x 10² K

Key: A1

1) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

-a) 4.0 meters

-b) 6.0 meters

-c) 7.0 meters

-d) 5.0 meters

+e) 3.0 meters

2) If you toss a coin into the air, the velocity on the way up is

+a) up

-b) down

-c) zero

3)

Is $d\ell /dv=v/r$ valid for uniform circular motion?

-a) Yes

+b) No

4) On object of mass 2.5 kg that is moving at a velocity of 23m/s collides with a stationary object of mass 17.94 kg. What is the final velocity if they stick? (Assume no external friction.)

-a) 1.95m/s.

-b) 2.34m/s.

+c) 2.81m/s.

-d) 3.38m/s.

-e) 4.05m/s.

5) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 2 seconds. He then travels at this speed for an additional 1 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

-a) 5.0 meters

-b) 8.0 meters

-c) 9.0 meters

-d) 7.0 meters

+e) 6.0 meters

6) A cylinder with a radius of 0.24 m and a length of 3.8 m is held so that the top circular face is 3.5 m below the water. The mass of the block is 853.0 kg. The mass density of water is 1000kg/m^3. What is the pressure at the top face of the cylinder?

-a) 2.83E4 Pa

+b) 3.43E4 Pa

-c) 4.16E4 Pa

-d) 5.03E4 Pa

-e) 6.10E4 Pa

7)

rilght

In the figure shown, θ is 37 degrees, and the mass is 2.5 kg. What is T₁?

+a) 32.5 N.

-b) 39 N.

-c) 46.8 N.

-d) 56.2 N.

-e) 67.4 N.

8)

Is $dv=|{\vec {v}}_{2}-{\vec {v}}_{1}|$ valid for uniform circular motion?

+a) Yes

-b) No

9)

Is $d\ell =|{\vec {r}}_{2}-{\vec {r}}_{1}|$ valid for uniform circular motion?

+a) Yes

-b) No

10) A car traveling at 33.2 mph increases its speed to 35.8 mph in 4.9 seconds. What is the average acceleration?

-a) 1.33 x 10^-1 m/s²

+b) 2.37 x 10^-1 m/s²

-c) 4.22 x 10^-1 m/s²

-d) 7.5 x 10^-1 m/s²

-e) 1.33 x 10⁰ m/s²

11) The Smith family is having fun on a high speed train travelling at 48.4 m/s. Mr. Smith is at the back of the train and fires a pellet gun with a muzzle speed of 20.7 m/s at Mrs. Smith who is at the front of the train. What is the speed of the bullet with respect to Earth?

-a) 20.5 m/s.

-b) 30.7 m/s.

-c) 46.1 m/s.

+d) 69.1 m/s.

-e) 103.7 m/s.

12)

A 1241 heat cycle uses 1.1 moles of an ideal gas. The pressures and volumes are: P₁= 2 kPa, P₂= 4.1 kPa. The volumes are V₁= 2.1m³ and V₄= 4.3m³. How much work is done in in one cycle?

-a) 7.3 x 10² J

+b) 2.31 x 10³ J

-c) 7.3 x 10³ J

-d) 2.31 x 10⁴ J

-e) 7.3 x 10⁴ J

13)

In the figure shown, L₁ = 6.9m, L₂ = 4.3m and L₃ = 8m. What is F₁ if F₂ =8.4N and F₃ =5.2N?

-a) 7.67E+00 N

-b) 9.30E+00 N

+c) 1.13E+01 N

-d) 1.36E+01 N

-e) 1.65E+01 N

14) Mr. Smith is driving at a speed of 4 m/s, when he slows down to a speed of 1 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

-a) 8.0 meters

-b) 9.0 meters

+c) 10.0 meters

-d) 7.0 meters

-e) 11.0 meters

15)

Is $d\ell =|{\vec {r}}_{2}|-|{\vec {r}}_{1}|$ valid for uniform circular motion?

-a) Yes

+b) No

16)

A 1241 heat cycle uses 2.5 moles of an ideal gas. The pressures and volumes are: P₁= 1.7 kPa, P₂= 4.5 kPa. The volumes are V₁= 1.6m³ and V₄= 2.7m³. How much work is involved between 2 and 4?

-a) 1.08 x 10³ J

+b) 3.41 x 10³ J

-c) 1.08 x 10⁴ J

-d) 3.41 x 10⁴ J

-e) 1.08 x 10⁵ J

17) A car is accelerating uniformly at an acceleration of 3.6m/s/s. At x = 6m, the speed is 3.7m/s. How fast is it moving at x = 11.5 m?

-a) 6.08 m/s.

+b) 7.3 m/s.

-c) 8.76 m/s.

-d) 10.51 m/s.

-e) 12.61 m/s.

18) A train accelerates uniformly from 12.75 m/s to 33.125 m/s, while travelling a distance of 272 m. What is the 'average' acceleration?

-a) 0.99m/s/s.

-b) 1.19m/s/s.

-c) 1.43m/s/s.

+d) 1.72m/s/s.

-e) 2.06m/s/s.

19) Mr. Smith is backing his car at a speed of 3.57 mph when he hits a cornfield (seed corn). In the course of 2.8 seconds he stops, puts his car in forward drive, and exits the field at a speed of 6.75 mph. What was the magnitude ( absolute value) of his acceleration?

-a) 1.85 x 10⁰ miles per hour per second

-b) 2.33 x 10⁰ miles per hour per second

-c) 2.93 x 10⁰ miles per hour per second

+d) 3.69 x 10⁰ miles per hour per second

-e) 4.64 x 10⁰ miles per hour per second

20) A sled of mass 5.8 kg is at rest on a rough surface. A string pulls with a tension of 42.5N at an angle of 51 degress above the horizontal. What is the normal force?

-a) 13.61 N.

-b) 15.66 N.

-c) 18 N.

-d) 20.71 N.

+e) 23.81 N.

21) A 9.4 cm diameter pipe can fill a 1.5 m^3 volume in 7.0 minutes. Before exiting the pipe, the diameter is reduced to 1.7 cm (with no loss of flow rate). If two fluid elements at the center of the pipe are separated by 37.0 mm when they are both in the wide pipe, and we neglect turbulence, what is the separation when both are in the narrow pipe?

-a) 9.34E2 mm

+b) 1.13E3 mm

-c) 1.37E3 mm

-d) 1.66E3 mm

-e) 2.01E3 mm

22) Nine barefoot baseball players, with a total mass of 616 kg plays tug of war against five basketball players wearing shoes that provide a static coefficient of friction of 0.71 . The net mass of the (shoed) basketball team is 388 kg. What is the maximum coefficient of the barefoot boys if they lose?

+a) 0.447

-b) 0.492

-c) 0.541

-d) 0.595

-e) 0.655

23) The Smith family got in trouble for having fun on a high speed train travelling at 47.6 m/s. Mr. Smith is charged with having fired a pellet gun at his daughter (directly across the isle) with a bullet that had a speed of 88.1 m/s with respect to Earth. How fast was the bullet going relative to the daughter (i.e. train)?

-a) 35.8 m/s.

-b) 42.9 m/s.

-c) 51.5 m/s.

-d) 61.8 m/s.

+e) 74.1 m/s.

24)

Is $|d{\vec {v}}|=adt$ valid for uniform circular motion?

+a) Yes

-b) No

25) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.82 kg is filled with 0.11 kg of water. You are consulting for the flat earth society, a group of people who believe that the acceleration of gravity equals 9.8 m/s/s at all altitudes. Based on this assumption, from what height must the water and container be dropped to achieve the same change in temperature? (For comparison, Earth's radius is 6,371 kilometers)

-a) 4.68 x 10⁰ km

-b) 5.67 x 10⁰ km

-c) 6.87 x 10⁰ km

-d) 8.32 x 10⁰ km

+e) 1.01 x 10¹ km

26) A particle accelerates uniformly at 10.75 m/s/s. How long does it take for the velocity to increase from 1184 m/s to 2001 m/s?

-a) 43.98 s

-b) 52.78 s

-c) 63.33 s

+d) 76 s

-e) 91.2 s

27) A 2.4 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.68 . In addition to the surface friction, there is also an air drag equal to 6 N. What is the magnitude (absolute value) of the acceleration?

+a) 9.2 m/s².

-b) 10.5 m/s².

-c) 12.1 m/s².

-d) 13.9 m/s².

-e) 16 m/s².

28) A mass with weight (mg) of 39 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 56 degrees. What is the tension in the string?

+a) 22.1 N.

-b) 25.4 N.

-c) 29.2 N.

-d) 33.6 N.

-e) 38.6 N.

29) What is the rms speed of a molecule with an atomic mass of 18 if the temperature is 12 degrees Fahrenheit?

-a) 2.8 x 10² m/s

-b) 3.39 x 10² m/s

-c) 4.11 x 10² m/s

-d) 4.97 x 10² m/s

+e) 6.03 x 10² m/s

30) Mr. Smith is driving at a speed of 5 m/s, when he slows down to a speed of 4 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

-a) 12.0 meters

-b) 8.0 meters

-c) 11.0 meters

+d) 9.0 meters

-e) 10.0 meters

31) If the initial velocity after leaving the spring is 9.00 m/s, how high does it reach before coming to rest?

-a) 3.75 m

-b) 3.94 m

+c) 4.13 m

-d) 4.34 m

-e) 4.56 m

32) A lead filled bicycle wheel of radius 0.35 m and mass 2.3 kg is rotating at a frequency of 1.1 revolutions per second. What is the moment of inertia?

+a) 2.82 x 10^-1 kg m²/s²

-b) 3.41 x 10^-1 kg m²/s²

-c) 4.14 x 10^-1 kg m²/s²

-d) 5.01 x 10^-1 kg m²/s²

-e) 6.07 x 10^-1 kg m²/s²

33) A sled of mass 2.6 kg is on perfectly smooth surface. A string pulls with a tension of 19.2N. At what angle above the horizontal must the string pull in order to achieve an accelerations of 2.4 m/s²?

-a) 53.7 degrees

-b) 61.8 degrees

+c) 71 degrees

-d) 81.7 degrees

-e) 93.9 degrees

34) A car is headed due north and decreasing its speed. It is also turning right because it is also traveling in a perfect circle. The acceleration vector points

+a) southeast

-b) south

-c) northeast

-d) north

-e) northwest

35)

A massless bar of length, S = 8.4m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 37.7 degrees above the horizontal. An object of mass, M = 5.1kg is suspended at a length, L = 4.7m from the wall. What is the tension, T, in the string?

-a) 1.82E+01 N

-b) 2.29E+01 N

-c) 2.89E+01 N

-d) 3.63E+01 N

+e) 4.57E+01 N

36) A car is traveling east and slowing down. The acceleration is

+a) to the west

-b) zero

-c) to the east

37)

A massless bar of length, S = 9.6m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 35 degrees above the horizontal. An object of mass, M = 5.1kg is suspended at a length, L =5.5m from the wall. What is the y (vertical) component of the force exerted by the wall on the horizontal bar?

+a) 2.13E+01 N

-b) 2.59E+01 N

-c) 3.13E+01 N

-d) 3.80E+01 N

-e) 4.60E+01 N

38) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

-a) 27.0 meters

+b) 24.0 meters

-c) 26.0 meters

-d) 23.0 meters

-e) 25.0 meters

39)

In the figure shown, the mass of m₁ is 6 kg, and the mass of m₂ is 3.2 kg. If the external force, F_ext on m₂ is 173 N, what is the tension in the connecting string? Assume that m₁ has a kinetic coefficient of friction equal to 0.31, and that for m₂ the coefficient is 0.44 .

+a) 110.2 N

-b) 126.7 N

-c) 145.7 N

-d) 167.6 N

-e) 192.7 N

40) The Smith family is having fun on a high speed train travelling at 47.5 m/s. Mrs. Smith, who is at the front of the train, fires straight towards the back with a bullet that is going forward with respect to Earth at a speed of 25.5 m/s. What was the muzzle speed of her bullet?

-a) 9.8 m/s.

-b) 14.7 m/s.

+c) 22 m/s.

-d) 33 m/s.

-e) 49.5 m/s.

41)

A massless bar of length, S = 8.1m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 32 degrees above the horizontal. An object of mass, M = 7.6kg is suspended at a length, L = 5.1m from the wall. What is the x (horizontal) component of the force exerted by the wall on the horizontal bar?

+a) 7.50E+01 N

-b) 9.09E+01 N

-c) 1.10E+02 N

-d) 1.33E+02 N

-e) 1.62E+02 N

42) A car is headed due north and decreasing its speed. It is also turning left because it is also traveling in a perfect circle. The acceleration vector points

-a) south

+b) southwest

-c) west

-d) southeast

-e) northwest

43) If you toss a coin into the air, the velocity on the way down is

-a) zero

-b) up

+c) down

44) A car is traveling in a perfect circle at constant speed. If the car is headed north while turning west, the acceleration is

-a) zero

-b) south

+c) west

-d) east

-e) north

45)

Is $adt/v=vdt/r$ valid for uniform circular motion?

+a) Yes

-b) No

46) If you toss a coin into the air, the acceleration while it as its highest point is

-a) up

-b) zero

+c) down

47) A merry-go round has a period of 0.32 minutes. What is the centripetal force on a 88.1 kg person who is standing 1.73 meters from the center?

+a) 16.3 newtons.

-b) 18.8 newtons.

-c) 21.6 newtons.

-d) 24.8 newtons.

-e) 28.5 newtons.

48)

In the figure shown (with m₁ = 6.5 kg, m₂ = 2.5 kg, and F_ext = 141 N), what is the acceleration? Assume no friction is present.

-a) 9 m/s²

-b) 10.3 m/s²

-c) 11.8 m/s²

-d) 13.6 m/s²

+e) 15.7 m/s²

49) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 6 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 4 seconds to come to rest. How far did he travel?

-a) 17.0 meters

+b) 16.0 meters

-c) 14.0 meters

-d) 13.0 meters

-e) 15.0 meters

50) A mass with weight (mg) equal to 21 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 66 degrees with respect to the horizontal. What is the tension in each string?

-a) 6.6 N.

-b) 7.6 N.

-c) 8.7 N.

-d) 10 N.

+e) 11.5 N.

51) If you toss a coin into the air, the velocity while it as its highest point is

-a) up

+b) zero

-c) down

52)

Is $dv/r=d\ell /v$ valid for uniform circular motion?

-a) Yes

+b) No

53)

A 171 gm bullet strikes a ballistic pendulum of mass 2.41 kg (before the bullet struck). After impact, the pendulum rises by 65 cm. What was the speed of the bullet?

-a) 41 m/s.

-b) 44 m/s.

-c) 47 m/s.

-d) 50 m/s.

+e) 54 m/s.

54) A car is headed due north and increasing its speed. It is also turning left because it is also traveling in a perfect circle. The velocity vector points

-a) northwest

-b) southeast

-c) northeast

-d) northeast

+e) north

55) A car is headed due north and increasing its speed. It is also turning right because it is also traveling in a perfect circle. The acceleration vector points

-a) northwest

-b) south

-c) southwest

+d) northeast

-e) north

56) Mr. Smith starts at rest and accelerates to a speed of 4 m/s, in 2 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

-a) 19.0 meters

+b) 20.0 meters

-c) 22.0 meters

-d) 21.0 meters

-e) 23.0 meters

57) A sled of mass 5.2 kg is at rest on a perfectly smooth surface. A string pulls with a tension of 41.3N at an angle of 55 degress above the horizontal. How long will it take to reach a speed of 9.8 m/s?

-a) 1.87 s

+b) 2.15 s

-c) 2.47 s

-d) 2.85 s

-e) 3.27 s

58) If a molecule with atomic mass equal to 9 amu has a speed of 249 m/s, what is the speed at an atom in the same atmosphere of a molecule with an atomic mass of 31 ?

-a) 6.23 x 10¹ m/s

-b) 7.54 x 10¹ m/s

-c) 9.14 x 10¹ m/s

-d) 1.11 x 10² m/s

+e) 1.34 x 10² m/s

59) A 6.5 cm diameter pipe can fill a 1.8 m^3 volume in 4.0 minutes. Before exiting the pipe, the diameter is reduced to 2.3 cm (with no loss of flow rate). What is the pressure difference (in Pascals) between the two regions of the pipe?

+a) 1.60E5

-b) 1.94E5

-c) 2.35E5

-d) 2.85E5

-e) 3.46E5

60) You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

-a) 1.218 m/s

+b) 1.291 m/s

-c) 1.368 m/s

-d) 1.450 m/s

-e) 1.537 m/s

61) The mass of the cart is 3.0kg, and the spring constant is 7941N/m. If the initial compression of the spring is 2.00m, how high does it reach before coming to rest?

-a) 5.14E+02 m

+b) 5.40E+02 m

-c) 5.67E+02 m

-d) 5.96E+02 m

-e) 6.25E+02 m

62) A car is traveling west and slowing down. The acceleration is

-a) to the west

-b) zero

+c) to the east

63) A car with a tire radius of 0.23 m accelerates from 0 to 23 m/s in 10.5 seconds. What is the angular acceleration of the wheel?

+a) 9.52 x 10⁰ m

-b) 1.15 x 10¹ m

-c) 1.4 x 10¹ m

-d) 1.69 x 10¹ m

-e) 2.05 x 10¹ m

64)

Is $dv=|{\vec {v}}_{2}|-|{\vec {v}}_{1}|$ valid for uniform circular motion?

-a) Yes

+b) No

65) A car is headed due north and increasing its speed. It is also turning right because it is also traveling in a perfect circle. The velocity vector points

-a) northwest

-b) northeast

-c) southwest

-d) south

+e) north

66) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

-a) 9.0 meters

-b) 11.0 meters

-c) 10.0 meters

+d) 12.0 meters

-e) 8.0 meters

67)

Is $v/d\ell =r/dv$ valid for uniform circular motion?

-a) Yes

+b) No

68)

Is $dv=adt$ valid for uniform circular motion?

+a) Yes

-b) No

69) What is the acceleration if a car travelling at 9.75 m/s makes a skid mark that is 8 m long before coming to rest? (Assume uniform acceleration.)

-a) 2.87m/s².

-b) 3.44m/s².

-c) 4.13m/s².

-d) 4.95m/s².

+e) 5.94m/s².

70) A ball is kicked horizontally from a height of 2.8 m, at a speed of 7.9m/s. How far does it travel before landing?

-a) 3.46 m.

-b) 4.15 m.

-c) 4.98 m.

+d) 5.97 m.

-e) 7.17 m.

71) What is the gravitational acceleration on a plant that is 2.33 times more massive than Earth, and a radius that is 1.49 times greater than Earths?

+a) 10.3 m/s²

-b) 11.8 m/s²

-c) 13.6 m/s²

-d) 15.6 m/s²

-e) 18 m/s²

72) As the Moon circles Earth, the acceleration of the Moon is

-a) in the same direction as the Moon's velocity

-b) opposite the direction of the Moon's velocity

+c) towards Earth

-d) away from Earth

-e) zero

73) What is the highest point the cart reaches if the speed was 1.8m/s, when the cart was situated at a height of 2.5m?,

+a) 2.50 m

-b) 2.63 m

-c) 2.76 m

-d) 2.89 m

-e) 3.04 m

74) A cylinder with a radius of 0.29 m and a length of 2.8 m is held so that the top circular face is 4.6 m below the water. The mass of the block is 952.0 kg. The mass density of water is 1000kg/m^3. What is the force exerted by the water at the top surface?

+a) 1.19E4 N

-b) 1.50E4 N

-c) 1.89E4 N

-d) 2.38E4 N

-e) 2.99E4 N

75) A window is square, with a length of each side equal to 0.79 meters. The glass has a thickness of 15 mm. To decrease the heat loss, you reduce the size of the window by decreasing the length of each side by a factor of 1.33. You also increase the thickness of the glass by a factor of 2.17. If the inside and outside temperatures are unchanged, by what factor have you decreased the heat flow?. By what factor have you decreased the heat flow (assuming the same inside and outside temperatures).

-a) 2.16 x 10⁰ unit

-b) 2.62 x 10⁰ unit

-c) 3.17 x 10⁰ unit

+d) 3.84 x 10⁰ unit

-e) 4.65 x 10⁰ unit

76) A car of mass 654 kg is driving on an icy road at a speed of 15 m/s, when it collides with a stationary truck. After the collision they stick and move at a speed of 5.7 m/s. What was the mass of the truck?

-a) 741 kg

-b) 889 kg

+c) 1067 kg

-d) 1280 kg

-e) 1537 kg

77) Mr. Smith starts from rest and accelerates to 4 m/s in 5 seconds. How far did he travel?

-a) 8.0 meters

+b) 10.0 meters

-c) 7.0 meters

-d) 9.0 meters

-e) 11.0 meters

78) If you toss a coin into the air, the acceleration on the way up is

-a) zero

-b) up

+c) down

79) Mr. Smith starts from rest and accelerates to 4 m/s in 3 seconds. How far did he travel?

-a) 5.0 meters

+b) 6.0 meters

-c) 3.0 meters

-d) 4.0 meters

-e) 7.0 meters

80) A particle is initially at the origin and moving in the x direction at a speed of 4.1 m/s. It has an constant acceleration of 1.5 m/s² in the y direction, as well as an acceleration of 0.7 in the x direction. What angle does the velocity make with the x axis at time t = 2.2 s?

-a) 17.34 degrees.

-b) 19.94 degrees.

-c) 22.94 degrees.

-d) 26.38 degrees.

+e) 30.33 degrees.

81) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.82 kg is filled with 0.11 kg of water. How much heat does it take to raise both from 20.2 C to 96.9 C?

-a) 6.62 x 10⁴ J

-b) 7.8 x 10⁴ J

+c) 9.19 x 10⁴ J

-d) 1.08 x 10⁵ J

-e) 1.28 x 10⁵ J

82) The Smith family is having fun on a high speed train travelling at 47.6 m/s. The daugher fires at Mr. Smith with a pellet gun whose muzzle speed is 23.8 m/s. She was situated across the isle, perpendicular to the length of the train. What is the speed of her bullet with respect to Earth?

-a) 10.5 m/s.

-b) 15.8 m/s.

-c) 23.7 m/s.

-d) 35.5 m/s.

+e) 53.2 m/s.

83) A merry-go-round has an angular frequency, $\omega$, equal to 0.174 rad/sec. How many minutes does it take to complete 12.5 revolutions?

-a) 5.69 minutes.

-b) 6.54 minutes.

+c) 7.52 minutes.

-d) 8.65 minutes.

-e) 9.95 minutes.

84) When a table cloth is quickly pulled out from under dishes, they hardly move. This is because

-a) objects don't begin to accelerate until after the force has been applied

-b) the cloth is more slippery when it is pulled quickly

+c) the cloth is accelerating for such a brief time that there is little motion

85) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 6 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 4 seconds to come to rest. How far did he travel?

+a) 16.0 meters

-b) 19.0 meters

-c) 17.0 meters

-d) 18.0 meters

-e) 20.0 meters

86)

A 1241 heat cycle uses 1.9 moles of an ideal gas. The pressures and volumes are: P₁= 2.9 kPa, P₂= 4.7 kPa. The volumes are V₁= 2.7m³ and V₄= 5.6m³. What is the temperature at step 4?

-a) 1.03 x 10¹ K

-b) 3.25 x 10¹ K

-c) 1.03 x 10² K

-d) 3.25 x 10² K

+e) 1.03 x 10³ K

87) A car is traveling east and speeding up. The acceleration is

-a) zero

+b) to the east

-c) to the west

88) A mass with weight (mg) 8.9 newtons is on a horzontal surface. It is being pulled on by a string at an angle of 30 degrees above the horizontal, with a force equal to 5.12 newtons. If this is the maximum force before the block starts to move, what is the static coefficient of friction?

+a) 0.7

-b) 0.84

-c) 1.01

-d) 1.21

-e) 1.45

89) What is the root-mean-square of 5, 7, and 0?

-a) 4.426 x 10⁰

+b) 4.967 x 10⁰

-c) 5.573 x 10⁰

-d) 6.253 x 10⁰

-e) 7.015 x 10⁰

90)

A 1241 heat cycle uses 2.2 moles of an ideal gas. The pressures and volumes are: P₁= 2.2 kPa, P₂= 3.7 kPa. The volumes are V₁= 1.8m³ and V₄= 4.4m³. How much work is involved between 1 and 4?

-a) 1.81 x 10² J

-b) 5.72 x 10² J

-c) 1.81 x 10³ J

+d) 5.72 x 10³ J

-e) 1.81 x 10⁴ J

91) In the figure "3 tensions" shown above θ₁ is 18 degrees, and θ₃ is 35 degrees. The tension T₃ is 48 N. What is the weight?

+a) 40.3 N.

-b) 46.4 N.

-c) 53.3 N.

-d) 61.3 N.

-e) 70.5 N.

92) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.66 kg is filled with 0.11 kg of water. What fraction of the heat went into the aluminum?

-a) 3.4 x 10^-1

-b) 4.1 x 10^-1

-c) 4.8 x 10^-1

+d) 5.6 x 10^-1

-e) 6.6 x 10^-1

93)

The moment of inertia of a solid disk of mass, M, and radius, R, is ½ MR². Two identical disks, each with mass 1.8 kg are attached. The larger disk has a diameter of 0.86 m, and the smaller disk has a diameter of 0.38 m. If a force of 31 N is applied at the rim of the smaller disk, what is the angular acceleration?

-a) 1.37 x 10¹ s^-2

-b) 1.67 x 10¹ s^-2

-c) 2.02 x 10¹ s^-2

-d) 2.44 x 10¹ s^-2

+e) 2.96 x 10¹ s^-2

94) A car is headed due north and increasing its speed. It is also turning left because it is also traveling in a perfect circle. The acceleration vector points

-a) northeast

-b) southwest

+c) northwest

-d) south

-e) north

95)

Is $dv/d\ell =r/v$ valid for uniform circular motion?

-a) Yes

+b) No

96)

In the figure shown, L₁ = 6.1m, L₂ = 3.2m and L₃ = 7.2m. What is F₂ if F₁ =0.77N and F₃ =0N?

-a) 8.25E-01 N

-b) 1.00E+00 N

-c) 1.21E+00 N

+d) 1.47E+00 N

-e) 1.78E+00 N

97) A 9.7 cm diameter pipe can fill a 1.2 m^3 volume in 4.0 minutes. Before exiting the pipe, the diameter is reduced to 4.3 cm (with no loss of flow rate). What is the speed in the first (wider) pipe?

-a) 4.61E-1 m/s

-b) 5.58E-1 m/s

+c) 6.77E-1 m/s

-d) 8.20E-1 m/s

-e) 9.93E-1 m/s

98) A car is traveling in a perfect circle at constant speed. If the car is headed north while turning east, the acceleration is

+a) east

-b) north

-c) south

-d) zero

-e) west

99)

In the figure shown, θ₁ is 17 degrees , and θ₃ is 29 degrees . The mass has a weight of 29 N. What is the tension, T₁?

-a) 20.16 N.

-b) 23.18 N.

-c) 26.66 N.

-d) 30.66 N.

+e) 35.26 N.

100) Without their shoes, members of a 9 person baseball team have a coefficient of static friction of only 0.23 . But the team wins a game of tug of war due to their superior mass of 607 kg. They are playing against a 5 person basketball team with a net mass of 429 kg. What is the maximum coefficient of static friction of the basketball team?

-a) 0.269

-b) 0.296

+c) 0.325

-d) 0.358

-e) 0.394

101) A lead filled bicycle wheel of radius 0.37 m and mass 2.1 kg is rotating at a frequency of 1.4 revolutions per second. What is the total kinetic energy if the wheel is rotating about a stationary axis?

-a) 5.16 x 10⁰ J

-b) 6.25 x 10⁰ J

-c) 7.58 x 10⁰ J

-d) 9.18 x 10⁰ J

+e) 1.11 x 10¹ J

102) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 8.49 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.73 m, and moves at a constant speed of 2.09 m/s in the +y direction. What is the value of θ (in radians)?

-a) 0.14 radians.

-b) 0.16 radians.

-c) 0.19 radians.

-d) 0.22 radians.

+e) 0.25 radians.

103) A sled of mass 5.4 kg is at rest on a rough surface. A string pulls with a tension of 46.6N at an angle of 38 degress above the horizontal. What is the magnitude of the friction?

+a) 36.72 N.

-b) 42.23 N.

-c) 48.56 N.

-d) 55.85 N.

-e) 64.23 N.

104)

In the figure shown, θ₁ is 19 degrees, and θ₃ is 38 degrees. The tension T₃ is 21 N. What is the tension, T₁?

-a) 10.01 N.

-b) 11.51 N.

-c) 13.23 N.

-d) 15.22 N.

+e) 17.5 N.

105) The spring constant is 710N/m, and the initial compression is 0.15m. What is the mass if the cart reaches a height of 2.62m, before coming to rest?

-a) 0.282 kg

-b) 0.296 kg

+c) 0.311 kg

-d) 0.327 kg

-e) 0.343 kg

106) What is the gravitational acceleration on a plant that is 1.73 times more dense than Earth, and a radius that is 2.44 times greater than Earth's?

+a) 41.4 m/s²

-b) 47.6 m/s²

-c) 54.7 m/s²

-d) 62.9 m/s²

-e) 72.4 m/s²

107)

Is $rd\ell =vdv$ valid for uniform circular motion?

-a) Yes

+b) No

108) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 5.94 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.92 m, and moves at a constant speed of 2.89 m/s in the +y direction. At what time do they meet?

-a) 0.33 s.

-b) 0.39 s.

-c) 0.47 s.

+d) 0.56 s.

-e) 0.68 s.

109) A merry-go round has a period of 0.22 minutes. What is the minimum coefficient of static friction that would allow a 96.9 kg person to stand1.95 meters from the center, without grabbing something?

-a) 0.03

-b) 0.034

-c) 0.039

+d) 0.045

-e) 0.052

110)

Is $d\ell =vdt$ valid for uniform circular motion?

+a) Yes

-b) No

111)

Is $dv/d\ell =v/r$ valid for uniform circular motion?

+a) Yes

-b) No

112) Mr. Smith starts from rest and accelerates to 3 m/s in 2 seconds. How far did he travel?

-a) 5.0 meters

-b) 4.0 meters

+c) 3.0 meters

-d) 2.0 meters

-e) 1.0 meters

113)

In the figure shown, the mass of m₁ is 5.4 kg, and the mass of m₂ is 3.9 kg. If the external force, F_ext on m₂ is 136 N, what is the tension in the connecting string? Assume no friction is present.

+a) 79 N

-b) 90.8 N

-c) 104.4 N

-d) 120.1 N

-e) 138.1 N

114) If you toss a coin into the air, the acceleration on the way down is

-a) up

-b) zero

+c) down

115) A car traveling at 42.8 miles/hour stops in 7.5 seconds. What is the average acceleration?

-a) 8.07 x 10^-1 m/s²

-b) 1.43 x 10⁰ m/s²

+c) 2.55 x 10⁰ m/s²

-d) 4.54 x 10⁰ m/s²

-e) 8.07 x 10⁰ m/s²

116) A large cylinder is filled with water so that the bottom is 8.8 m below the waterline. At the bottom is a small hole with a diameter of 6.3E-4 m. How fast is the water flowing at the hole? (Neglect viscous effects, turbulence, and also assume that the hole is so small that no significant motion occurs at the top of the cylinder.)

-a) 1.08E1 m/s

+b) 1.31E1 m/s

-c) 1.59E1 m/s

-d) 1.93E1 m/s

-e) 2.34E1 m/s

117) A car completes a complete circle of radius 2.2 miles at a speed of 63.6 miles per hour. How many minutes does it take?

-a) 9.78 x 10⁰ minutes

+b) 1.3 x 10¹ minutes

-c) 1.74 x 10¹ minutes

-d) 2.32 x 10¹ minutes

-e) 3.09 x 10¹ minutes

118) A cylinder with a radius of 0.38 m and a length of 3.6 m is held so that the top circular face is 4.2 m below the water. The mass of the block is 829.0 kg. The mass density of water is 1000kg/m^3. What is the force exerted by the fluid on the bottom of the cylinder?

-a) 1.74E4 Pa

-b) 2.19E4 Pa

-c) 2.75E4 Pa

+d) 3.47E4 Pa

-e) 4.37E4 Pa

119) The cart has a mass of 36.40kg. It is moving at a speed of 3.90m/s, when it is at a height of 2.52m. If the spring constant was 612N/m, what was the initial compression?

-a) 1.83 m

+b) 1.96 m

-c) 2.10 m

-d) 2.24 m

-e) 2.40 m

120) A cylinder with a radius of 0.38 m and a length of 2.2 m is held so that the top circular face is 3.8 m below the water. The mass of the block is 903.0 kg. The mass density of water is 1000kg/m^3. What is the buoyant force?

-a) 8.07E3 N

+b) 9.78E3 N

-c) 1.18E4 N

-d) 1.44E4 N

-e) 1.74E4 N

121)

rilght

In the figure shown, θ is 32 degrees, and the mass is 2.8 kg. What is T₂?

-a) 45.03 N.

+b) 51.78 N.

-c) 59.55 N.

-d) 68.48 N.

-e) 78.75 N.

Key: B0

1) A car traveling at 54 miles/hour stops in 5.2 seconds. What is the average acceleration?

+a) 4.64 x 10⁰ m/s²

-b) 8.26 x 10⁰ m/s²

-c) 1.47 x 10¹ m/s²

-d) 2.61 x 10¹ m/s²

-e) 4.64 x 10¹ m/s²

2) A car completes a complete circle of radius 3 miles at a speed of 62.1 miles per hour. How many minutes does it take?

-a) 1.37 x 10¹ minutes

+b) 1.82 x 10¹ minutes

-c) 2.43 x 10¹ minutes

-d) 3.24 x 10¹ minutes

-e) 4.32 x 10¹ minutes

3) A car traveling at 32.9 mph increases its speed to 35.1 mph in 4.6 seconds. What is the average acceleration?

+a) 2.14 x 10^-1 m/s²

-b) 3.8 x 10^-1 m/s²

-c) 6.76 x 10^-1 m/s²

-d) 1.2 x 10⁰ m/s²

-e) 2.14 x 10⁰ m/s²

4) Mr. Smith is backing his car at a speed of 3.06 mph when he hits a cornfield (seed corn). In the course of 1.29 seconds he stops, puts his car in forward drive, and exits the field at a speed of 5.6 mph. What was the magnitude ( absolute value) of his acceleration?

-a) 3.36 x 10⁰ miles per hour per second

-b) 4.24 x 10⁰ miles per hour per second

-c) 5.33 x 10⁰ miles per hour per second

+d) 6.71 x 10⁰ miles per hour per second

-e) 8.45 x 10⁰ miles per hour per second

5) A car is accelerating uniformly at an acceleration of 3.3m/s/s. At x = 5.75m, the speed is 4.95m/s. How fast is it moving at x = 13.75 m?

-a) 5.09 m/s.

-b) 6.11 m/s.

-c) 7.33 m/s.

+d) 8.79 m/s.

-e) 10.55 m/s.

6) What is the acceleration if a car travelling at 10.9 m/s makes a skid mark that is 6.25 m long before coming to rest? (Assume uniform acceleration.)

-a) 5.5m/s/2.

-b) 6.6m/s/2.

-c) 7.92m/s/2.

+d) 9.5m/s/2.

-e) 11.41m/s/2.

7) A train accelerates uniformly from 15.75 m/s to 30.375 m/s, while travelling a distance of 357 m. What is the 'average' acceleration?

-a) 0.55m/s/s.

-b) 0.66m/s/s.

-c) 0.79m/s/s.

+d) 0.94m/s/s.

-e) 1.13m/s/s.

8) A particle accelerates uniformly at 13 m/s/s. How long does it take for the velocity to increase from 1024 m/s to 1888 m/s?

-a) 46.15 s

-b) 55.38 s

+c) 66.46 s

-d) 79.75 s

-e) 95.7 s

9) Mr. Smith starts from rest and accelerates to 4 m/s in 3 seconds. How far did he travel?

-a) 5.0 meters

+b) 6.0 meters

-c) 4.0 meters

-d) 7.0 meters

-e) 3.0 meters

10) Mr. Smith starts from rest and accelerates to 4 m/s in 5 seconds. How far did he travel?

-a) 8.0 meters

+b) 10.0 meters

-c) 7.0 meters

-d) 11.0 meters

-e) 9.0 meters

11) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

-a) 9.0 meters

-b) 8.0 meters

+c) 12.0 meters

-d) 11.0 meters

-e) 10.0 meters

12) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 2 seconds. He then travels at this speed for an additional 1 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

-a) 5.0 meters

-b) 9.0 meters

+c) 6.0 meters

-d) 7.0 meters

-e) 8.0 meters

13) Mr. Smith is driving at a speed of 4 m/s, when he slows down to a speed of 1 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

-a) 7.0 meters

-b) 9.0 meters

-c) 11.0 meters

-d) 8.0 meters

+e) 10.0 meters

14) Mr. Smith starts at rest and accelerates to a speed of 4 m/s, in 2 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

+a) 20.0 meters

-b) 19.0 meters

-c) 23.0 meters

-d) 21.0 meters

-e) 22.0 meters

15) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

-a) 4.0 meters

-b) 6.0 meters

-c) 5.0 meters

+d) 3.0 meters

-e) 7.0 meters

16) Mr. Smith is driving at a speed of 5 m/s, when he slows down to a speed of 4 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

-a) 10.0 meters

-b) 12.0 meters

-c) 8.0 meters

-d) 11.0 meters

+e) 9.0 meters

17) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 6 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 4 seconds to come to rest. How far did he travel?

-a) 20.0 meters

-b) 17.0 meters

-c) 18.0 meters

-d) 19.0 meters

+e) 16.0 meters

18) Mr. Smith starts from rest and accelerates to 3 m/s in 2 seconds. How far did he travel?

-a) 5.0 meters

-b) 1.0 meters

-c) 2.0 meters

-d) 4.0 meters

+e) 3.0 meters

19) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

+a) 24.0 meters

-b) 23.0 meters

-c) 26.0 meters

-d) 25.0 meters

-e) 27.0 meters

20) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 6 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 4 seconds to come to rest. How far did he travel?

-a) 13.0 meters

-b) 14.0 meters

-c) 15.0 meters

-d) 17.0 meters

+e) 16.0 meters

21) A ball is kicked horizontally from a height of 2.8 m, at a speed of 7.9m/s. How far does it travel before landing?

-a) 3.46 m.

-b) 4.15 m.

-c) 4.98 m.

+d) 5.97 m.

-e) 7.17 m.

22) A particle is initially at the origin and moving in the x direction at a speed of 3.8 m/s. It has an constant acceleration of 2.1 m/s² in the y direction, as well as an acceleration of 0.6 in the x direction. What angle does the velocity make with the x axis at time t = 2.9 s?

-a) 31.37 degrees.

-b) 36.07 degrees.

-c) 41.48 degrees.

+d) 47.71 degrees.

-e) 54.86 degrees.

23) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 5.94 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.92 m, and moves at a constant speed of 2.89 m/s in the +y direction. At what time do they meet?

-a) 0.33 s.

-b) 0.39 s.

-c) 0.47 s.

+d) 0.56 s.

-e) 0.68 s.

24) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 8.02 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.27 m, and moves at a constant speed of 2.5 m/s in the +y direction. What is the value of θ (in radians)?

-a) 0.18 radians.

-b) 0.21 radians.

-c) 0.24 radians.

-d) 0.28 radians.

+e) 0.32 radians.

25) The Smith family is having fun on a high speed train travelling at 47.6 m/s. Mr. Smith is at the back of the train and fires a pellet gun with a muzzle speed of 29.7 m/s at Mrs. Smith who is at the front of the train. What is the speed of the bullet with respect to Earth?

-a) 22.9 m/s.

-b) 34.4 m/s.

-c) 51.5 m/s.

+d) 77.3 m/s.

-e) 116 m/s.

26) The Smith family is having fun on a high speed train travelling at 42.3 m/s. Mrs. Smith, who is at the front of the train, fires straight towards the back with a bullet that is going forward with respect to Earth at a speed of 26.3 m/s. What was the muzzle speed of her bullet?

-a) 7.1 m/s.

-b) 10.7 m/s.

+c) 16 m/s.

-d) 24 m/s.

-e) 36 m/s.

27) The Smith family is having fun on a high speed train travelling at 47.6 m/s. The daugher fires at Mr. Smith with a pellet gun whose muzzle speed is 23.8 m/s. She was situated across the isle, perpendicular to the length of the train. What is the speed of her bullet with respect to Earth?

-a) 10.5 m/s.

-b) 15.8 m/s.

-c) 23.7 m/s.

-d) 35.5 m/s.

+e) 53.2 m/s.

28) The Smith family got in trouble for having fun on a high speed train travelling at 47.5 m/s. Mr. Smith is charged with having fired a pellet gun at his daughter (directly across the isle) with a bullet that had a speed of 94.6 m/s with respect to Earth. How fast was the bullet going relative to the daughter (i.e. train)?

+a) 81.8 m/s.

-b) 98.2 m/s.

-c) 117.8 m/s.

-d) 141.4 m/s.

-e) 169.6 m/s.

29) When a table cloth is quickly pulled out from under dishes, they hardly move. This is because

-a) objects don't begin to accelerate until after the force has been applied

+b) the cloth is accelerating for such a brief time that there is little motion

-c) the cloth is more slippery when it is pulled quickly

30) If you toss a coin into the air, the acceleration while it as its highest point is

-a) up

-b) zero

+c) down

31) If you toss a coin into the air, the velocity on the way up is

-a) down

-b) zero

+c) up

32) If you toss a coin into the air, the velocity on the way down is

+a) down

-b) zero

-c) up

33) If you toss a coin into the air, the velocity while it as its highest point is

-a) up

+b) zero

-c) down

34) A car is headed due north and increasing its speed. It is also turning left because it is also traveling in a perfect circle. The acceleration vector points

-a) southwest

-b) northeast

-c) south

+d) northwest

-e) north

35) A car is headed due north and increasing its speed. It is also turning right because it is also traveling in a perfect circle. The acceleration vector points

-a) south

-b) southwest

+c) northeast

-d) north

-e) northwest

36) A car is headed due north and increasing its speed. It is also turning left because it is also traveling in a perfect circle. The velocity vector points

-a) northeast

+b) north

-c) northeast

-d) southeast

-e) northwest

37) A car is headed due north and increasing its speed. It is also turning right because it is also traveling in a perfect circle. The velocity vector points

-a) northwest

-b) southwest

+c) north

-d) northeast

-e) south

38) A car is headed due north and decreasing its speed. It is also turning left because it is also traveling in a perfect circle. The acceleration vector points

-a) southeast

+b) southwest

-c) south

-d) west

-e) northwest

39) A car is headed due north and decreasing its speed. It is also turning right because it is also traveling in a perfect circle. The acceleration vector points

-a) north

-b) northeast

-c) northwest

+d) southeast

-e) south

40) A car is traveling west and slowing down. The acceleration is

-a) to the west

-b) zero

+c) to the east

41) A car is traveling east and slowing down. The acceleration is

-a) zero

-b) to the east

+c) to the west

42) A car is traveling east and speeding up. The acceleration is

-a) to the west

-b) zero

+c) to the east

43) If you toss a coin into the air, the acceleration on the way up is

+a) down

-b) zero

-c) up

44) A car is traveling in a perfect circle at constant speed. If the car is headed north while turning west, the acceleration is

-a) north

+b) west

-c) zero

-d) south

-e) east

45) A car is traveling in a perfect circle at constant speed. If the car is headed north while turning east, the acceleration is

+a) east

-b) zero

-c) south

-d) west

-e) north

46) As the Moon circles Earth, the acceleration of the Moon is

-a) in the same direction as the Moon's velocity

-b) opposite the direction of the Moon's velocity

+c) towards Earth

-d) away from Earth

-e) zero

47) If you toss a coin into the air, the acceleration on the way down is

-a) zero

+b) down

-c) up

48) A mass with weight (mg) of 39 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 56 degrees. What is the tension in the string?

+a) 22.1 N.

-b) 25.4 N.

-c) 29.2 N.

-d) 33.6 N.

-e) 38.6 N.

49) A mass with weight (mg) equal to 37 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 65 degrees with respect to the horizontal. What is the tension in each string?

-a) 15.4 N.

-b) 17.7 N.

+c) 20.4 N.

-d) 23.5 N.

-e) 27 N.

50) A 2.2 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.59 . In addition to the surface friction, there is also an air drag equal to 14 N. What is the magnitude (absolute value) of the acceleration?

-a) 6.9 m/s².

-b) 8 m/s².

-c) 9.2 m/s².

-d) 10.6 m/s².

+e) 12.1 m/s².

51) A mass with weight (mg) 8.7 newtons is on a horzontal surface. It is being pulled on by a string at an angle of 30 degrees above the horizontal, with a force equal to 4.08 newtons. If this is the maximum force before the block starts to move, what is the static coefficient of friction?

-a) 0.31

-b) 0.37

-c) 0.44

+d) 0.53

-e) 0.64

52) A sled of mass 5.9 kg is at rest on a rough surface. A string pulls with a tension of 43.6N at an angle of 38 degress above the horizontal. What is the magnitude of the friction?

-a) 19.64 N.

-b) 22.59 N.

-c) 25.98 N.

-d) 29.88 N.

+e) 34.36 N.

53) A sled of mass 5.8 kg is at rest on a rough surface. A string pulls with a tension of 42.5N at an angle of 51 degress above the horizontal. What is the normal force?

-a) 13.61 N.

-b) 15.66 N.

-c) 18 N.

-d) 20.71 N.

+e) 23.81 N.

54) A sled of mass 5.7 kg is at rest on a perfectly smooth surface. A string pulls with a tension of 41.3N at an angle of 40 degress above the horizontal. How long will it take to reach a speed of 10.3 m/s?

-a) 1.4 s

-b) 1.61 s

+c) 1.86 s

-d) 2.13 s

-e) 2.45 s

55) A sled of mass 2.6 kg is on perfectly smooth surface. A string pulls with a tension of 19.3N. At what angle above the horizontal must the string pull in order to achieve an accelerations of 2.5 m/s²?

+a) 70.3 degrees

-b) 80.9 degrees

-c) 93 degrees

-d) 106.9 degrees

-e) 123 degrees

56)

In the figure shown, θ₁ is 15 degrees, and θ₃ is 36 degrees. The tension T₃ is 39 N. What is the tension, T₁?

+a) 32.66 N.

-b) 37.56 N.

-c) 43.2 N.

-d) 49.68 N.

-e) 57.13 N.

57) In the figure "3 tensions" shown above θ₁ is 17 degrees, and θ₃ is 29 degrees. The tension T₃ is 12 N. What is the weight?

-a) 5.9 N.

-b) 6.8 N.

-c) 7.8 N.

+d) 9 N.

-e) 10.4 N.

58)

rilght

In the figure shown, θ is 28 degrees, and the mass is 2.9 kg. What is T₂?

+a) 60.54 N.

-b) 69.62 N.

-c) 80.06 N.

-d) 92.07 N.

-e) 105.88 N.

59)

rilght

In the figure shown, θ is 33 degrees, and the mass is 2.8 kg. What is T₁?

-a) 35.2 N.

+b) 42.3 N.

-c) 50.7 N.

-d) 60.8 N.

-e) 73 N.

60)

In the figure shown, θ₁ is 20 degrees , and θ₃ is 33 degrees . The mass has a weight of 31 N. What is the tension, T₁?

+a) 32.55 N.

-b) 37.44 N.

-c) 43.05 N.

-d) 49.51 N.

-e) 56.94 N.

61)

In the figure shown, the mass of m₁ is 6.4 kg, and the mass of m₂ is 3.7 kg. If the external force, F_ext on m₂ is 135 N, what is the tension in the connecting string? Assume no friction is present.

-a) 74.4 N

+b) 85.5 N

-c) 98.4 N

-d) 113.1 N

-e) 130.1 N

62)

In the figure shown (with m₁ = 6.7 kg, m₂ = 2.5 kg, and F_ext = 101 N), what is the acceleration? Assume no friction is present.

-a) 6.3 m/s²

-b) 7.2 m/s²

-c) 8.3 m/s²

-d) 9.5 m/s²

+e) 11 m/s²

63) Nine barefoot baseball players, with a total mass of 692 kg plays tug of war against five basketball players wearing shoes that provide a static coefficient of friction of 0.61 . The net mass of the (shoed) basketball team is 406 kg. What is the maximum coefficient of the barefoot boys if they lose?

+a) 0.358

-b) 0.394

-c) 0.433

-d) 0.476

-e) 0.524

64) Without their shoes, members of a 9 person baseball team have a coefficient of static friction of only 0.21 . But the team wins a game of tug of war due to their superior mass of 683 kg. They are playing against a 5 person basketball team with a net mass of 389 kg. What is the maximum coefficient of static friction of the basketball team?

-a) 0.277

-b) 0.305

-c) 0.335

+d) 0.369

-e) 0.406

65)

In the figure shown, the mass of m₁ is 6.5 kg, and the mass of m₂ is 3 kg. If the external force, F_ext on m₂ is 175 N, what is the tension in the connecting string? Assume that m₁ has a kinetic coefficient of friction equal to 0.33, and that for m₂ the coefficient is 0.48 .

-a) 66.7 N

-b) 76.7 N

-c) 88.3 N

-d) 101.5 N

+e) 116.7 N

66) A merry-go-round has an angular frequency, $\omega$, equal to 0.182 rad/sec. How many minutes does it take to complete 12.5 revolutions?

-a) 5.44 minutes.

-b) 6.25 minutes.

+c) 7.19 minutes.

-d) 8.27 minutes.

-e) 9.51 minutes.

67) A merry-go round has a period of 0.26 minutes. What is the centripetal force on a 53.3 kg person who is standing 1.35 meters from the center?

-a) 7.7 newtons.

-b) 8.8 newtons.

-c) 10.2 newtons.

+d) 11.7 newtons.

-e) 13.4 newtons.

68) A merry-go round has a period of 0.38 minutes. What is the minimum coefficient of static friction that would allow a 77.6 kg person to stand1.59 meters from the center, without grabbing something?

-a) 0.008

-b) 0.009

-c) 0.011

+d) 0.012

-e) 0.014

69) What is the gravitational acceleration on a plant that is 1.83 times more massive than Earth, and a radius that is 1.38 times greater than Earths?

-a) 8.2 m/s²

+b) 9.4 m/s²

-c) 10.8 m/s²

-d) 12.5 m/s²

-e) 14.3 m/s²

70) What is the gravitational acceleration on a plant that is 1.92 times more dense than Earth, and a radius that is 1.69 times greater than Earth's?

-a) 24 m/s²

-b) 27.7 m/s²

+c) 31.8 m/s²

-d) 36.6 m/s²

-e) 42.1 m/s²

71)

Is $dv/d\ell =v/r$ valid for uniform circular motion?

+a) Yes

-b) No

72)

Is $dv/r=d\ell /v$ valid for uniform circular motion?

-a) Yes

+b) No

73)

Is $rd\ell =vdv$ valid for uniform circular motion?

-a) Yes

+b) No

74)

Is $dv=|{\vec {v}}_{2}|-|{\vec {v}}_{1}|$ valid for uniform circular motion?

-a) Yes

+b) No

75)

Is $d\ell /dv=v/r$ valid for uniform circular motion?

-a) Yes

+b) No

76)

Is $dv/d\ell =r/v$ valid for uniform circular motion?

-a) Yes

+b) No

77)

Is $dv=|{\vec {v}}_{2}-{\vec {v}}_{1}|$ valid for uniform circular motion?

+a) Yes

-b) No

78)

Is $d\ell =vdt$ valid for uniform circular motion?

+a) Yes

-b) No

79)

Is $adt/v=vdt/r$ valid for uniform circular motion?

+a) Yes

-b) No

80)

Is $dv=adt$ valid for uniform circular motion?

+a) Yes

-b) No

81)

Is $|d{\vec {v}}|=adt$ valid for uniform circular motion?

+a) Yes

-b) No

82)

Is $d\ell =|{\vec {r}}_{2}-{\vec {r}}_{1}|$ valid for uniform circular motion?

+a) Yes

-b) No

83)

Is $d\ell =|{\vec {r}}_{2}|-|{\vec {r}}_{1}|$ valid for uniform circular motion?

-a) Yes

+b) No

84)

Is $v/d\ell =r/dv$ valid for uniform circular motion?

-a) Yes

+b) No

85) If the initial velocity after leaving the spring is 7.70 m/s, how high does it reach before coming to rest?

-a) 2.88 m

+b) 3.02 m

-c) 3.18 m

-d) 3.34 m

-e) 3.50 m

86) The mass of the cart is 2.0kg, and the spring constant is 8128N/m. If the initial compression of the spring is 5.00m, how high does it reach before coming to rest?

-a) 4.26E+03 m

-b) 4.48E+03 m

-c) 4.70E+03 m

-d) 4.94E+03 m

+e) 5.18E+03 m

87) What is the highest point the cart reaches if the speed was 2.7m/s, when the cart was situated at a height of 3.5m?,

-a) 2.88 m

-b) 3.02 m

-c) 3.17 m

-d) 3.33 m

+e) 3.50 m

88) The spring constant is 682N/m, and the initial compression is 0.21m. What is the mass if the cart reaches a height of 1.47m, before coming to rest?

+a) 1.044 kg

-b) 1.096 kg

-c) 1.151 kg

-d) 1.208 kg

-e) 1.269 kg

89) The cart has a mass of 47.20kg. It is moving at a speed of 2.20m/s, when it is at a height of 2.77m. If the spring constant was 527N/m, what was the initial compression?

+a) 2.30 m

-b) 2.46 m

-c) 2.63 m

-d) 2.82 m

-e) 3.02 m

90) You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

-a) 1.022 m/s

-b) 1.084 m/s

-c) 1.149 m/s

-d) 1.218 m/s

+e) 1.291 m/s

91) On object of mass 2.3 kg that is moving at a velocity of 16m/s collides with a stationary object of mass 9.6 kg. What is the final velocity if they stick? (Assume no external friction.)

-a) 1.49m/s.

-b) 1.79m/s.

-c) 2.15m/s.

-d) 2.58m/s.

+e) 3.09m/s.

92) A car of mass 856 kg is driving on an icy road at a speed of 19 m/s, when it collides with a stationary truck. After the collision they stick and move at a speed of 4.7 m/s. What was the mass of the truck?

-a) 1507 kg

-b) 1809 kg

-c) 2170 kg

+d) 2604 kg

-e) 3125 kg

93)

A 191 gm bullet strikes a ballistic pendulum of mass 2.19 kg (before the bullet struck). After impact, the pendulum rises by 65 cm. What was the speed of the bullet?

-a) 34 m/s.

-b) 36 m/s.

-c) 39 m/s.

-d) 42 m/s.

+e) 44 m/s.

94)

A massless bar of length, S = 9.8m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 25.2 degrees above the horizontal. An object of mass, M = 4.7kg is suspended at a length, L = 4.4m from the wall. What is the tension, T, in the string?

-a) 1.93E+01 N

-b) 2.43E+01 N

-c) 3.06E+01 N

-d) 3.86E+01 N

+e) 4.86E+01 N

95)

In the figure shown, L₁ = 5.3m, L₂ = 3.3m and L₃ = 8.7m. What is F₁ if F₂ =8.7N and F₃ =6N?

-a) 7.09E+00 N

-b) 8.58E+00 N

-c) 1.04E+01 N

-d) 1.26E+01 N

+e) 1.53E+01 N

96)

A massless bar of length, S = 8.9m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 33.9 degrees above the horizontal. An object of mass, M = 8.1kg is suspended at a length, L = 6.3m from the wall. What is the x (horizontal) component of the force exerted by the wall on the horizontal bar?

-a) 5.70E+01 N

-b) 6.90E+01 N

+c) 8.36E+01 N

-d) 1.01E+02 N

-e) 1.23E+02 N

97)

In the figure shown, L₁ = 6m, L₂ = 4.5m and L₃ = 8.6m. What is F₂ if F₁ =0.82N and F₃ =0.1N?

-a) 6.15E-01 N

-b) 7.45E-01 N

+c) 9.02E-01 N

-d) 1.09E+00 N

-e) 1.32E+00 N

98)

A massless bar of length, S = 7.7m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 30.4 degrees above the horizontal. An object of mass, M = 4.3kg is suspended at a length, L =4.1m from the wall. What is the y (vertical) component of the force exerted by the wall on the horizontal bar?

-a) 1.34E+01 N

-b) 1.63E+01 N

+c) 1.97E+01 N

-d) 2.39E+01 N

-e) 2.89E+01 N

99) A car with a tire radius of 0.21 m accelerates from 0 to 29 m/s in 11 seconds. What is the angular acceleration of the wheel?

+a) 1.26 x 10¹ m

-b) 1.52 x 10¹ m

-c) 1.84 x 10¹ m

-d) 2.23 x 10¹ m

-e) 2.7 x 10¹ m

100) A lead filled bicycle wheel of radius 0.35 m and mass 2.7 kg is rotating at a frequency of 1.5 revolutions per second. What is the moment of inertia?

-a) 2.25 x 10^-1 kg m²/s²

-b) 2.73 x 10^-1 kg m²/s²

+c) 3.31 x 10^-1 kg m²/s²

-d) 4.01 x 10^-1 kg m²/s²

-e) 4.85 x 10^-1 kg m²/s²

101) A lead filled bicycle wheel of radius 0.41 m and mass 2.9 kg is rotating at a frequency of 1.7 revolutions per second. What is the total kinetic energy if the wheel is rolling about a stationary axis?

+a) 2.78 x 10¹ J

-b) 3.37 x 10¹ J

-c) 4.08 x 10¹ J

-d) 4.95 x 10¹ J

-e) 5.99 x 10¹ J

102)

The moment of inertia of a solid disk of mass, M, and radius, R, is ½ MR². Two identical disks, each with mass 3.4 kg are attached. The larger disk has a diameter of 0.91 m, and the smaller disk has a diameter of 0.56 m. If a force of 35 N is applied at the rim of the smaller disk, what is the angular acceleration?

-a) 9.37 x 10⁰ s^-2

-b) 1.14 x 10¹ s^-2

-c) 1.38 x 10¹ s^-2

-d) 1.67 x 10¹ s^-2

+e) 2.02 x 10¹ s^-2

103) A cylinder with a radius of 0.38 m and a length of 3.6 m is held so that the top circular face is 4.2 m below the water. The mass of the block is 829.0 kg. The mass density of water is 1000kg/m^3. What is the pressure at the top face of the cylinder?

-a) 3.40E4 Pa

+b) 4.12E4 Pa

-c) 4.99E4 Pa

-d) 6.04E4 Pa

-e) 7.32E4 Pa

104) A cylinder with a radius of 0.38 m and a length of 3.6 m is held so that the top circular face is 4.2 m below the water. The mass of the block is 829.0 kg. The mass density of water is 1000kg/m^3. What is the buoyant force?

-a) 1.09E4 N

-b) 1.32E4 N

+c) 1.60E4 N

-d) 1.94E4 N

-e) 2.35E4 N

105) A cylinder with a radius of 0.28 m and a length of 2.6 m is held so that the top circular face is 4.1 m below the water. The mass of the block is 831.0 kg. The mass density of water is 1000kg/m^3. What is the force exerted by the water at the top surface?

-a) 6.24E3 N

-b) 7.86E3 N

+c) 9.90E3 N

-d) 1.25E4 N

-e) 1.57E4 N

106) A cylinder with a radius of 0.28 m and a length of 2.9 m is held so that the top circular face is 4.6 m below the water. The mass of the block is 880.0 kg. The mass density of water is 1000kg/m^3. What is the force exerted by the fluid on the bottom of the cylinder?

-a) 1.14E4 Pa

-b) 1.44E4 Pa

+c) 1.81E4 Pa

-d) 2.28E4 Pa

-e) 2.87E4 Pa

107) A 6.5 cm diameter pipe can fill a 1.8 m^3 volume in 4.0 minutes. Before exiting the pipe, the diameter is reduced to 2.3 cm (with no loss of flow rate). What is the speed in the first (wider) pipe?

-a) 1.27E0 m/s

-b) 1.54E0 m/s

-c) 1.87E0 m/s

+d) 2.26E0 m/s

-e) 2.74E0 m/s

108) A 6.5 cm diameter pipe can fill a 1.8 m^3 volume in 4.0 minutes. Before exiting the pipe, the diameter is reduced to 2.3 cm (with no loss of flow rate). What is the pressure difference (in Pascals) between the two regions of the pipe?

+a) 1.60E5

-b) 1.94E5

-c) 2.35E5

-d) 2.85E5

-e) 3.46E5

109) A 9.7 cm diameter pipe can fill a 1.2 m^3 volume in 4.0 minutes. Before exiting the pipe, the diameter is reduced to 4.3 cm (with no loss of flow rate). If two fluid elements at the center of the pipe are separated by 22.0 mm when they are both in the wide pipe, and we neglect turbulence, what is the separation when both are in the narrow pipe?

-a) 6.30E1 mm

-b) 7.63E1 mm

-c) 9.24E1 mm

+d) 1.12E2 mm

-e) 1.36E2 mm

110) A large cylinder is filled with water so that the bottom is 5.4 m below the waterline. At the bottom is a small hole with a diameter of 9.6E-4 m. How fast is the water flowing at the hole? (Neglect viscous effects, turbulence, and also assume that the hole is so small that no significant motion occurs at the top of the cylinder.)

-a) 7.01E0 m/s

-b) 8.49E0 m/s

+c) 1.03E1 m/s

-d) 1.25E1 m/s

-e) 1.51E1 m/s

111) What is the root-mean-square of 44, 4, and 36?

-a) 2.614 x 10¹

-b) 2.933 x 10¹

+c) 3.29 x 10¹

-d) 3.692 x 10¹

-e) 4.142 x 10¹

112) What is the rms speed of a molecule with an atomic mass of 21 if the temperature is 58 degrees Fahrenheit?

-a) 4.82 x 10² m/s

+b) 5.84 x 10² m/s

-c) 7.08 x 10² m/s

-d) 8.58 x 10² m/s

-e) 1.04 x 10³ m/s

113) If a molecule with atomic mass equal to 7 amu has a speed of 253 m/s, what is the speed at an atom in the same atmosphere of a molecule with an atomic mass of 26 ?

+a) 1.31 x 10² m/s

-b) 1.59 x 10² m/s

-c) 1.93 x 10² m/s

-d) 2.33 x 10² m/s

-e) 2.83 x 10² m/s

114) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.82 kg is filled with 0.11 kg of water. How much heat does it take to raise both from 20.2 C to 96.9 C?

-a) 6.62 x 10⁴ J

-b) 7.8 x 10⁴ J

+c) 9.19 x 10⁴ J

-d) 1.08 x 10⁵ J

-e) 1.28 x 10⁵ J

115) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.82 kg is filled with 0.11 kg of water. What fraction of the heat went into the aluminum?

-a) 3.8 x 10^-1

-b) 4.4 x 10^-1

-c) 5.2 x 10^-1

+d) 6.2 x 10^-1

-e) 7.3 x 10^-1

116) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.95 kg is filled with 0.19 kg of water. You are consulting for the flat earth society, a group of people who believe that the acceleration of gravity equals 9.8 m/s/s at all altitudes. Based on this assumption, from what height must the water and container be dropped to achieve the same change in temperature? (For comparison, Earth's radius is 6,371 kilometers)

-a) 5.24 x 10⁰ km

+b) 6.35 x 10⁰ km

-c) 7.7 x 10⁰ km

-d) 9.32 x 10⁰ km

-e) 1.13 x 10¹ km

117) A window is square, with a length of each side equal to 0.79 meters. The glass has a thickness of 15 mm. To decrease the heat loss, you reduce the size of the window by decreasing the length of each side by a factor of 1.33. You also increase the thickness of the glass by a factor of 2.17. If the inside and outside temperatures are unchanged, by what factor have you decreased the heat flow?. By what factor have you decreased the heat flow (assuming the same inside and outside temperatures).

-a) 2.16 x 10⁰ unit

-b) 2.62 x 10⁰ unit

-c) 3.17 x 10⁰ unit

+d) 3.84 x 10⁰ unit

-e) 4.65 x 10⁰ unit

118)

A 1241 heat cycle uses 1.6 moles of an ideal gas. The pressures and volumes are: P₁= 1.9 kPa, P₂= 3.6 kPa. The volumes are V₁= 1.6m³ and V₄= 3.3m³. How much work is done in in one cycle?

-a) 4.57 x 10¹ J

-b) 1.45 x 10² J

-c) 4.57 x 10² J

+d) 1.45 x 10³ J

-e) 4.57 x 10³ J

119)

A 1241 heat cycle uses 1.3 moles of an ideal gas. The pressures and volumes are: P₁= 1.6 kPa, P₂= 4.3 kPa. The volumes are V₁= 1.6m³ and V₄= 3.2m³. How much work is involved between 1 and 4?

+a) 2.56 x 10³ J

-b) 8.1 x 10³ J

-c) 2.56 x 10⁴ J

-d) 8.1 x 10⁴ J

-e) 2.56 x 10⁵ J

120)

A 1241 heat cycle uses 2.9 moles of an ideal gas. The pressures and volumes are: P₁= 1.7 kPa, P₂= 3.1 kPa. The volumes are V₁= 2.8m³ and V₄= 4.3m³. How much work is involved between 2 and 4?

+a) 3.6 x 10³ J

-b) 1.14 x 10⁴ J

-c) 3.6 x 10⁴ J

-d) 1.14 x 10⁵ J

-e) 3.6 x 10⁵ J

121)

A 1241 heat cycle uses 1.3 moles of an ideal gas. The pressures and volumes are: P₁= 1.6 kPa, P₂= 4.3 kPa. The volumes are V₁= 2.9m³ and V₄= 5.8m³. What is the temperature at step 4?

-a) 8.59 x 10⁰ K

-b) 2.71 x 10¹ K

-c) 8.59 x 10¹ K

-d) 2.71 x 10² K

+e) 8.59 x 10² K

Key: B1

1)

In the figure shown, the mass of m₁ is 6.8 kg, and the mass of m₂ is 3.3 kg. If the external force, F_ext on m₂ is 112 N, what is the tension in the connecting string? Assume that m₁ has a kinetic coefficient of friction equal to 0.39, and that for m₂ the coefficient is 0.46 .

-a) 48.6 N

-b) 55.9 N

-c) 64.2 N

+d) 73.9 N

-e) 85 N

2) A 9.7 cm diameter pipe can fill a 1.2 m^3 volume in 4.0 minutes. Before exiting the pipe, the diameter is reduced to 4.3 cm (with no loss of flow rate). What is the pressure difference (in Pascals) between the two regions of the pipe?

+a) 5.70E3

-b) 6.90E3

-c) 8.36E3

-d) 1.01E4

-e) 1.23E4

3) A car with a tire radius of 0.23 m accelerates from 0 to 23 m/s in 10.5 seconds. What is the angular acceleration of the wheel?

+a) 9.52 x 10⁰ m

-b) 1.15 x 10¹ m

-c) 1.4 x 10¹ m

-d) 1.69 x 10¹ m

-e) 2.05 x 10¹ m

4) What is the gravitational acceleration on a plant that is 2.21 times more massive than Earth, and a radius that is 1.74 times greater than Earths?

-a) 4.1 m/s²

-b) 4.7 m/s²

-c) 5.4 m/s²

-d) 6.2 m/s²

+e) 7.2 m/s²

5)

In the figure shown, θ₁ is 18 degrees , and θ₃ is 29 degrees . The mass has a weight of 50 N. What is the tension, T₁?

-a) 34.19 N.

-b) 39.32 N.

-c) 45.21 N.

-d) 52 N.

+e) 59.79 N.

6)

A massless bar of length, S = 8.6m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 37.6 degrees above the horizontal. An object of mass, M = 7.4kg is suspended at a length, L = 6.2m from the wall. What is the tension, T, in the string?

-a) 3.41E+01 N

-b) 4.29E+01 N

-c) 5.41E+01 N

-d) 6.81E+01 N

+e) 8.57E+01 N

7)

A massless bar of length, S = 8.9m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 28 degrees above the horizontal. An object of mass, M = 8.7kg is suspended at a length, L = 6.5m from the wall. What is the x (horizontal) component of the force exerted by the wall on the horizontal bar?

-a) 9.67E+01 N

+b) 1.17E+02 N

-c) 1.42E+02 N

-d) 1.72E+02 N

-e) 2.08E+02 N

8) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 6 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 4 seconds to come to rest. How far did he travel?

-a) 17.0 meters

-b) 13.0 meters

+c) 16.0 meters

-d) 14.0 meters

-e) 15.0 meters

9)

A 1241 heat cycle uses 1.6 moles of an ideal gas. The pressures and volumes are: P₁= 1.5 kPa, P₂= 3 kPa. The volumes are V₁= 2.4m³ and V₄= 4.5m³. What is the temperature at step 4?

-a) 1.6 x 10¹ K

-b) 5.07 x 10¹ K

-c) 1.6 x 10² K

+d) 5.07 x 10² K

-e) 1.6 x 10³ K

10) A particle is initially at the origin and moving in the x direction at a speed of 3.7 m/s. It has an constant acceleration of 1.5 m/s² in the y direction, as well as an acceleration of 0.6 in the x direction. What angle does the velocity make with the x axis at time t = 2.1 s?

-a) 21.32 degrees.

-b) 24.51 degrees.

-c) 28.19 degrees.

+d) 32.42 degrees.

-e) 37.28 degrees.

11)

Is $d\ell =|{\vec {r}}_{2}-{\vec {r}}_{1}|$ valid for uniform circular motion?

+a) Yes

-b) No

12) A window is square, with a length of each side equal to 0.93 meters. The glass has a thickness of 15 mm. To decrease the heat loss, you reduce the size of the window by decreasing the length of each side by a factor of 1.55. You also increase the thickness of the glass by a factor of 2.54. If the inside and outside temperatures are unchanged, by what factor have you decreased the heat flow?. By what factor have you decreased the heat flow (assuming the same inside and outside temperatures).

-a) 4.16 x 10⁰ unit

-b) 5.04 x 10⁰ unit

+c) 6.1 x 10⁰ unit

-d) 7.39 x 10⁰ unit

-e) 8.96 x 10⁰ unit

13) A car of mass 856 kg is driving on an icy road at a speed of 19 m/s, when it collides with a stationary truck. After the collision they stick and move at a speed of 4.7 m/s. What was the mass of the truck?

-a) 1507 kg

-b) 1809 kg

-c) 2170 kg

+d) 2604 kg

-e) 3125 kg

14) A 3 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.27 . In addition to the surface friction, there is also an air drag equal to 7 N. What is the magnitude (absolute value) of the acceleration?

-a) 3.8 m/s².

-b) 4.3 m/s².

+c) 5 m/s².

-d) 5.7 m/s².

-e) 6.6 m/s².

15) Mr. Smith starts from rest and accelerates to 4 m/s in 3 seconds. How far did he travel?

+a) 6.0 meters

-b) 3.0 meters

-c) 5.0 meters

-d) 4.0 meters

-e) 7.0 meters

16) A car is headed due north and increasing its speed. It is also turning left because it is also traveling in a perfect circle. The acceleration vector points

-a) north

-b) south

-c) southwest

-d) northeast

+e) northwest

17) A car is headed due north and decreasing its speed. It is also turning left because it is also traveling in a perfect circle. The acceleration vector points

-a) west

-b) northwest

+c) southwest

-d) south

-e) southeast

18) A car completes a complete circle of radius 1.2 miles at a speed of 66.2 miles per hour. How many minutes does it take?

-a) 3.84 x 10⁰ minutes

-b) 5.12 x 10⁰ minutes

+c) 6.83 x 10⁰ minutes

-d) 9.11 x 10⁰ minutes

-e) 1.22 x 10¹ minutes

19) A 7.0 cm diameter pipe can fill a 2.1 m^3 volume in 8.0 minutes. Before exiting the pipe, the diameter is reduced to 1.7 cm (with no loss of flow rate). What is the speed in the first (wider) pipe?

+a) 1.14E0 m/s

-b) 1.38E0 m/s

-c) 1.67E0 m/s

-d) 2.02E0 m/s

-e) 2.45E0 m/s

20) A car is traveling in a perfect circle at constant speed. If the car is headed north while turning east, the acceleration is

-a) zero

-b) west

-c) north

-d) south

+e) east

21) Mr. Smith starts at rest and accelerates to a speed of 4 m/s, in 2 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

-a) 23.0 meters

-b) 21.0 meters

+c) 20.0 meters

-d) 22.0 meters

-e) 19.0 meters

22) A car traveling at 27 mph increases its speed to 29.5 mph in 5.4 seconds. What is the average acceleration?

+a) 2.07 x 10^-1 m/s²

-b) 3.68 x 10^-1 m/s²

-c) 6.54 x 10^-1 m/s²

-d) 1.16 x 10⁰ m/s²

-e) 2.07 x 10⁰ m/s²

23)

Is $dv=adt$ valid for uniform circular motion?

+a) Yes

-b) No

24) A lead filled bicycle wheel of radius 0.35 m and mass 2.7 kg is rotating at a frequency of 1.5 revolutions per second. What is the total kinetic energy if the wheel is rotating about a stationary axis?

-a) 8.26 x 10⁰ J

-b) 1 x 10¹ J

-c) 1.21 x 10¹ J

+d) 1.47 x 10¹ J

-e) 1.78 x 10¹ J

25) If you toss a coin into the air, the velocity on the way up is

-a) down

-b) zero

+c) up

26) A car is headed due north and increasing its speed. It is also turning right because it is also traveling in a perfect circle. The acceleration vector points

-a) north

-b) south

-c) southwest

-d) northwest

+e) northeast

27) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

+a) 24.0 meters

-b) 26.0 meters

-c) 27.0 meters

-d) 23.0 meters

-e) 25.0 meters

28) What is the rms speed of a molecule with an atomic mass of 18 if the temperature is 12 degrees Fahrenheit?

-a) 2.8 x 10² m/s

-b) 3.39 x 10² m/s

-c) 4.11 x 10² m/s

-d) 4.97 x 10² m/s

+e) 6.03 x 10² m/s

29) If a molecule with atomic mass equal to 7 amu has a speed of 399 m/s, what is the speed at an atom in the same atmosphere of a molecule with an atomic mass of 31 ?

-a) 8.8 x 10¹ m/s

-b) 1.07 x 10² m/s

-c) 1.29 x 10² m/s

-d) 1.56 x 10² m/s

+e) 1.9 x 10² m/s

30)

Is $v/d\ell =r/dv$ valid for uniform circular motion?

-a) Yes

+b) No

31) A 7.9 cm diameter pipe can fill a 1.5 m^3 volume in 7.0 minutes. Before exiting the pipe, the diameter is reduced to 2.7 cm (with no loss of flow rate). If two fluid elements at the center of the pipe are separated by 28.0 mm when they are both in the wide pipe, and we neglect turbulence, what is the separation when both are in the narrow pipe?

-a) 1.35E2 mm

-b) 1.63E2 mm

-c) 1.98E2 mm

+d) 2.40E2 mm

-e) 2.90E2 mm

32)

In the figure shown, L₁ = 6.4m, L₂ = 3.4m and L₃ = 7.1m. What is F₂ if F₁ =0.87N and F₃ =0.1N?

+a) 1.43E+00 N

-b) 1.73E+00 N

-c) 2.10E+00 N

-d) 2.54E+00 N

-e) 3.08E+00 N

33) Without their shoes, members of a 9 person baseball team have a coefficient of static friction of only 0.33 . But the team wins a game of tug of war due to their superior mass of 663 kg. They are playing against a 5 person basketball team with a net mass of 422 kg. What is the maximum coefficient of static friction of the basketball team?

-a) 0.39

-b) 0.428

-c) 0.471

+d) 0.518

-e) 0.57

34)

In the figure shown, the mass of m₁ is 5.4 kg, and the mass of m₂ is 3.9 kg. If the external force, F_ext on m₂ is 136 N, what is the tension in the connecting string? Assume no friction is present.

+a) 79 N

-b) 90.8 N

-c) 104.4 N

-d) 120.1 N

-e) 138.1 N

35) The Smith family is having fun on a high speed train travelling at 42.3 m/s. Mrs. Smith, who is at the front of the train, fires straight towards the back with a bullet that is going forward with respect to Earth at a speed of 26.3 m/s. What was the muzzle speed of her bullet?

-a) 7.1 m/s.

-b) 10.7 m/s.

+c) 16 m/s.

-d) 24 m/s.

-e) 36 m/s.

36)

Is $rd\ell =vdv$ valid for uniform circular motion?

-a) Yes

+b) No

37) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

-a) 8.0 meters

-b) 11.0 meters

-c) 9.0 meters

-d) 10.0 meters

+e) 12.0 meters

38)

In the figure shown (with m₁ = 6.5 kg, m₂ = 2.5 kg, and F_ext = 141 N), what is the acceleration? Assume no friction is present.

-a) 9 m/s²

-b) 10.3 m/s²

-c) 11.8 m/s²

-d) 13.6 m/s²

+e) 15.7 m/s²

39) {The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.68 kg is filled with 0.17 kg of water. What fraction of the heat went into the aluminum?

-a) 2.8 x 10^-1

-b) 3.3 x 10^-1

-c) 3.9 x 10^-1

+d) 4.6 x 10^-1

-e) 5.5 x 10^-1

40) A cylinder with a radius of 0.38 m and a length of 3.6 m is held so that the top circular face is 4.2 m below the water. The mass of the block is 829.0 kg. The mass density of water is 1000kg/m^3. What is the buoyant force?

-a) 1.09E4 N

-b) 1.32E4 N

+c) 1.60E4 N

-d) 1.94E4 N

-e) 2.35E4 N

41) The Smith family is having fun on a high speed train travelling at 47.6 m/s. Mr. Smith is at the back of the train and fires a pellet gun with a muzzle speed of 29.7 m/s at Mrs. Smith who is at the front of the train. What is the speed of the bullet with respect to Earth?

-a) 22.9 m/s.

-b) 34.4 m/s.

-c) 51.5 m/s.

+d) 77.3 m/s.

-e) 116 m/s.

42) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 6 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 4 seconds to come to rest. How far did he travel?

-a) 18.0 meters

-b) 19.0 meters

-c) 20.0 meters

+d) 16.0 meters

-e) 17.0 meters

43)

Is $d\ell =vdt$ valid for uniform circular motion?

+a) Yes

-b) No

44) Nine barefoot baseball players, with a total mass of 664 kg plays tug of war against five basketball players wearing shoes that provide a static coefficient of friction of 0.53 . The net mass of the (shoed) basketball team is 418 kg. What is the maximum coefficient of the barefoot boys if they lose?

+a) 0.334

-b) 0.367

-c) 0.404

-d) 0.444

-e) 0.488

45) A sled of mass 2.2 kg is on perfectly smooth surface. A string pulls with a tension of 17.2N. At what angle above the horizontal must the string pull in order to achieve an accelerations of 3.5 m/s²?

-a) 36.3 degrees

-b) 41.7 degrees

-c) 47.9 degrees

-d) 55.1 degrees

+e) 63.4 degrees

46) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 2 seconds. He then travels at this speed for an additional 1 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

-a) 7.0 meters

-b) 8.0 meters

+c) 6.0 meters

-d) 5.0 meters

-e) 9.0 meters

47) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 5.43 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.49 m, and moves at a constant speed of 2.75 m/s in the +y direction. At what time do they meet?

-a) 0.26 s.

-b) 0.31 s.

-c) 0.37 s.

-d) 0.44 s.

+e) 0.53 s.

48) What is the root-mean-square of -20, 40, and -32?

-a) 2.522 x 10¹

-b) 2.83 x 10¹

+c) 3.175 x 10¹

-d) 3.562 x 10¹

-e) 3.997 x 10¹

49) A cylinder with a radius of 0.38 m and a length of 2.3 m is held so that the top circular face is 4.5 m below the water. The mass of the block is 909.0 kg. The mass density of water is 1000kg/m^3. What is the pressure at the top face of the cylinder?

-a) 2.48E4 Pa

-b) 3.00E4 Pa

-c) 3.64E4 Pa

+d) 4.41E4 Pa

-e) 5.34E4 Pa

50) A ball is kicked horizontally from a height of 2.5 m, at a speed of 8.7m/s. How far does it travel before landing?

-a) 3.6 m.

-b) 4.32 m.

-c) 5.18 m.

+d) 6.21 m.

-e) 7.46 m.

51) A particle accelerates uniformly at 16.75 m/s/s. How long does it take for the velocity to increase from 1210 m/s to 2087 m/s?

+a) 52.36 s

-b) 62.83 s

-c) 75.4 s

-d) 90.47 s

-e) 108.57 s

52)

In the figure shown, θ₁ is 19 degrees, and θ₃ is 38 degrees. The tension T₃ is 21 N. What is the tension, T₁?

-a) 10.01 N.

-b) 11.51 N.

-c) 13.23 N.

-d) 15.22 N.

+e) 17.5 N.

53) The mass of the cart is 4.0kg, and the spring constant is 6611N/m. If the initial compression of the spring is 2.00m, how high does it reach before coming to rest?

+a) 3.37E+02 m

-b) 3.54E+02 m

-c) 3.72E+02 m

-d) 3.90E+02 m

-e) 4.10E+02 m

54) The Smith family is having fun on a high speed train travelling at 47.6 m/s. The daugher fires at Mr. Smith with a pellet gun whose muzzle speed is 21.1 m/s. She was situated across the isle, perpendicular to the length of the train. What is the speed of her bullet with respect to Earth?

+a) 52.1 m/s.

-b) 78.1 m/s.

-c) 117.2 m/s.

-d) 175.7 m/s.

-e) 263.6 m/s.

55) A car is headed due north and decreasing its speed. It is also turning right because it is also traveling in a perfect circle. The acceleration vector points

-a) north

-b) south

+c) southeast

-d) northeast

-e) northwest

56) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

+a) 3.0 meters

-b) 5.0 meters

-c) 7.0 meters

-d) 6.0 meters

-e) 4.0 meters

57)

A 159 gm bullet strikes a ballistic pendulum of mass 2.11 kg (before the bullet struck). After impact, the pendulum rises by 65 cm. What was the speed of the bullet?

-a) 39 m/s.

-b) 42 m/s.

-c) 44 m/s.

-d) 48 m/s.

+e) 51 m/s.

58) A sled of mass 5.8 kg is at rest on a rough surface. A string pulls with a tension of 42.5N at an angle of 51 degress above the horizontal. What is the normal force?

-a) 13.61 N.

-b) 15.66 N.

-c) 18 N.

-d) 20.71 N.

+e) 23.81 N.

59)

A 1241 heat cycle uses 2.9 moles of an ideal gas. The pressures and volumes are: P₁= 2.3 kPa, P₂= 4.8 kPa. The volumes are V₁= 2.1m³ and V₄= 3.5m³. How much work is done in in one cycle?

-a) 1.75 x 10¹ J

-b) 5.53 x 10¹ J

-c) 1.75 x 10² J

-d) 5.53 x 10² J

+e) 1.75 x 10³ J

60) A car is traveling east and slowing down. The acceleration is

-a) zero

+b) to the west

-c) to the east

61) The Smith family got in trouble for having fun on a high speed train travelling at 47.6 m/s. Mr. Smith is charged with having fired a pellet gun at his daughter (directly across the isle) with a bullet that had a speed of 97 m/s with respect to Earth. How fast was the bullet going relative to the daughter (i.e. train)?

-a) 40.8 m/s.

-b) 48.9 m/s.

-c) 58.7 m/s.

-d) 70.4 m/s.

+e) 84.5 m/s.

62) If you toss a coin into the air, the acceleration while it as its highest point is

-a) up

+b) down

-c) zero

63) You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

-a) 1.218 m/s

+b) 1.291 m/s

-c) 1.368 m/s

-d) 1.450 m/s

-e) 1.537 m/s

64) A car is headed due north and increasing its speed. It is also turning left because it is also traveling in a perfect circle. The velocity vector points

-a) southeast

-b) northwest

-c) northeast

+d) north

-e) northeast

65) A sled of mass 5.7 kg is at rest on a perfectly smooth surface. A string pulls with a tension of 41.3N at an angle of 40 degress above the horizontal. How long will it take to reach a speed of 10.3 m/s?

-a) 1.4 s

-b) 1.61 s

+c) 1.86 s

-d) 2.13 s

-e) 2.45 s

66)

A 1241 heat cycle uses 2.9 moles of an ideal gas. The pressures and volumes are: P₁= 1.3 kPa, P₂= 3.4 kPa. The volumes are V₁= 2.5m³ and V₄= 4.3m³. How much work is involved between 2 and 4?

-a) 1.34 x 10² J

-b) 4.23 x 10² J

-c) 1.34 x 10³ J

+d) 4.23 x 10³ J

-e) 1.34 x 10⁴ J

67)

Is $adt/v=vdt/r$ valid for uniform circular motion?

+a) Yes

-b) No

68) If you toss a coin into the air, the velocity while it as its highest point is

+a) zero

-b) up

-c) down

69) The spring constant is 755N/m, and the initial compression is 0.21m. What is the mass if the cart reaches a height of 3.12m, before coming to rest?

-a) 0.494 kg

-b) 0.519 kg

+c) 0.544 kg

-d) 0.572 kg

-e) 0.600 kg

70) What is the highest point the cart reaches if the speed was 2.2m/s, when the cart was situated at a height of 2.4m?,

-a) 1.97 m

-b) 2.07 m

-c) 2.18 m

-d) 2.29 m

+e) 2.40 m

71) A merry-go round has a period of 0.26 minutes. What is the minimum coefficient of static friction that would allow a 51.9 kg person to stand1.26 meters from the center, without grabbing something?

+a) 0.021

-b) 0.024

-c) 0.028

-d) 0.032

-e) 0.036

72) What is the gravitational acceleration on a plant that is 1.23 times more dense than Earth, and a radius that is 2.98 times greater than Earth's?

+a) 35.9 m/s²

-b) 41.3 m/s²

-c) 47.5 m/s²

-d) 54.6 m/s²

-e) 62.8 m/s²

73) A train accelerates uniformly from 17 m/s to 29.75 m/s, while travelling a distance of 285 m. What is the 'average' acceleration?

-a) 0.5m/s/s.

-b) 0.61m/s/s.

-c) 0.73m/s/s.

-d) 0.87m/s/s.

+e) 1.05m/s/s.

74) What is the acceleration if a car travelling at 9.75 m/s makes a skid mark that is 8 m long before coming to rest? (Assume uniform acceleration.)

-a) 2.87m/s².

-b) 3.44m/s².

-c) 4.13m/s².

-d) 4.95m/s².

+e) 5.94m/s².

75)

A 1241 heat cycle uses 2.2 moles of an ideal gas. The pressures and volumes are: P₁= 2.2 kPa, P₂= 3.7 kPa. The volumes are V₁= 1.8m³ and V₄= 4.4m³. How much work is involved between 1 and 4?

-a) 1.81 x 10² J

-b) 5.72 x 10² J

-c) 1.81 x 10³ J

+d) 5.72 x 10³ J

-e) 1.81 x 10⁴ J

76) A sled of mass 5.9 kg is at rest on a rough surface. A string pulls with a tension of 43.6N at an angle of 38 degress above the horizontal. What is the magnitude of the friction?

-a) 19.64 N.

-b) 22.59 N.

-c) 25.98 N.

-d) 29.88 N.

+e) 34.36 N.

77) A car is traveling west and slowing down. The acceleration is

+a) to the east

-b) to the west

-c) zero

78)

Is $d\ell =|{\vec {r}}_{2}|-|{\vec {r}}_{1}|$ valid for uniform circular motion?

-a) Yes

+b) No

79)

Is $dv/d\ell =v/r$ valid for uniform circular motion?

+a) Yes

-b) No

80) A large cylinder is filled with water so that the bottom is 7.8 m below the waterline. At the bottom is a small hole with a diameter of 5.4E-4 m. How fast is the water flowing at the hole? (Neglect viscous effects, turbulence, and also assume that the hole is so small that no significant motion occurs at the top of the cylinder.)

-a) 8.42E0 m/s

-b) 1.02E1 m/s

+c) 1.24E1 m/s

-d) 1.50E1 m/s

-e) 1.81E1 m/s

81) A cylinder with a radius of 0.28 m and a length of 2.9 m is held so that the top circular face is 4.6 m below the water. The mass of the block is 880.0 kg. The mass density of water is 1000kg/m^3. What is the force exerted by the fluid on the bottom of the cylinder?

-a) 1.14E4 Pa

-b) 1.44E4 Pa

+c) 1.81E4 Pa

-d) 2.28E4 Pa

-e) 2.87E4 Pa

82) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.82 kg is filled with 0.11 kg of water. How much heat does it take to raise both from 20.2 C to 96.9 C?

-a) 6.62 x 10⁴ J

-b) 7.8 x 10⁴ J

+c) 9.19 x 10⁴ J

-d) 1.08 x 10⁵ J

-e) 1.28 x 10⁵ J

83) A merry-go-round has an angular frequency, $\omega$, equal to 0.174 rad/sec. How many minutes does it take to complete 12.5 revolutions?

-a) 5.69 minutes.

-b) 6.54 minutes.

+c) 7.52 minutes.

-d) 8.65 minutes.

-e) 9.95 minutes.

84) A mass with weight (mg) of 42 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 46 degrees. What is the tension in the string?

-a) 15 N.

-b) 17.3 N.

-c) 19.8 N.

+d) 22.8 N.

-e) 26.2 N.

85) The cart has a mass of 37.20kg. It is moving at a speed of 2.40m/s, when it is at a height of 3.15m. If the spring constant was 596N/m, what was the initial compression?

-a) 1.79 m

-b) 1.92 m

+c) 2.05 m

-d) 2.20 m

-e) 2.35 m

86)

A massless bar of length, S = 8.6m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 35.8 degrees above the horizontal. An object of mass, M = 7.3kg is suspended at a length, L =4.4m from the wall. What is the y (vertical) component of the force exerted by the wall on the horizontal bar?

-a) 1.96E+01 N

-b) 2.38E+01 N

-c) 2.88E+01 N

+d) 3.49E+01 N

-e) 4.23E+01 N

87) A merry-go round has a period of 0.22 minutes. What is the centripetal force on a 96.9 kg person who is standing 1.95 meters from the center?

-a) 32.4 newtons.

-b) 37.2 newtons.

+c) 42.8 newtons.

-d) 49.2 newtons.

-e) 56.6 newtons.

88) Mr. Smith starts from rest and accelerates to 4 m/s in 5 seconds. How far did he travel?

-a) 9.0 meters

-b) 11.0 meters

-c) 7.0 meters

-d) 8.0 meters

+e) 10.0 meters

89) Mr. Smith is driving at a speed of 5 m/s, when he slows down to a speed of 4 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

-a) 12.0 meters

+b) 9.0 meters

-c) 11.0 meters

-d) 10.0 meters

-e) 8.0 meters

90) On object of mass 2.3 kg that is moving at a velocity of 22m/s collides with a stationary object of mass 19.36 kg. What is the final velocity if they stick? (Assume no external friction.)

-a) 1.62m/s.

-b) 1.95m/s.

+c) 2.34m/s.

-d) 2.8m/s.

-e) 3.36m/s.

91)

Is $d\ell /dv=v/r$ valid for uniform circular motion?

-a) Yes

+b) No

92) Mr. Smith starts from rest and accelerates to 3 m/s in 2 seconds. How far did he travel?

-a) 1.0 meters

-b) 5.0 meters

-c) 2.0 meters

-d) 4.0 meters

+e) 3.0 meters

93) If you toss a coin into the air, the velocity on the way down is

+a) down

-b) up

-c) zero

94) A car traveling at 34.5 miles/hour stops in 1.7 seconds. What is the average acceleration?

-a) 9.07 x 10^-1 m/s²

-b) 1.61 x 10⁰ m/s²

-c) 2.87 x 10⁰ m/s²

-d) 5.1 x 10⁰ m/s²

+e) 9.07 x 10⁰ m/s²

95) A car is accelerating uniformly at an acceleration of 4.05m/s/s. At x = 4m, the speed is 4.8m/s. How fast is it moving at x = 12.5 m?

-a) 6.66 m/s.

-b) 7.99 m/s.

+c) 9.59 m/s.

-d) 11.5 m/s.

-e) 13.8 m/s.

96)

rilght

In the figure shown, θ is 32 degrees, and the mass is 2.8 kg. What is T₁?

-a) 21.2 N.

-b) 25.4 N.

-c) 30.5 N.

-d) 36.6 N.

+e) 43.9 N.

97)

Is $dv=|{\vec {v}}_{2}-{\vec {v}}_{1}|$ valid for uniform circular motion?

+a) Yes

-b) No

98) As the Moon circles Earth, the acceleration of the Moon is

-a) in the same direction as the Moon's velocity

+b) towards Earth

-c) zero

-d) away from Earth

-e) opposite the direction of the Moon's velocity

99)

Is $dv/r=d\ell /v$ valid for uniform circular motion?

-a) Yes

+b) No

100)

Is $|d{\vec {v}}|=adt$ valid for uniform circular motion?

+a) Yes

-b) No

101)

Is $dv/d\ell =r/v$ valid for uniform circular motion?

-a) Yes

+b) No

102) A car is traveling east and speeding up. The acceleration is

-a) zero

+b) to the east

-c) to the west

103) A cylinder with a radius of 0.38 m and a length of 2.3 m is held so that the top circular face is 4.5 m below the water. The mass of the block is 909.0 kg. The mass density of water is 1000kg/m^3. What is the force exerted by the water at the top surface?

-a) 1.59E4 N

+b) 2.00E4 N

-c) 2.52E4 N

-d) 3.17E4 N

-e) 3.99E4 N

104) If you toss a coin into the air, the acceleration on the way down is

-a) up

-b) zero

+c) down

105) A car is traveling in a perfect circle at constant speed. If the car is headed north while turning west, the acceleration is

-a) east

-b) zero

+c) west

-d) south

-e) north

106)

In the figure shown, L₁ = 6.4m, L₂ = 3.5m and L₃ = 7.3m. What is F₁ if F₂ =8.8N and F₃ =5.9N?

-a) 9.53E+00 N

+b) 1.15E+01 N

-c) 1.40E+01 N

-d) 1.69E+01 N

-e) 2.05E+01 N

107) Mr. Smith is driving at a speed of 4 m/s, when he slows down to a speed of 1 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

-a) 11.0 meters

-b) 9.0 meters

-c) 7.0 meters

-d) 8.0 meters

+e) 10.0 meters

108)

Is $dv=|{\vec {v}}_{2}|-|{\vec {v}}_{1}|$ valid for uniform circular motion?

-a) Yes

+b) No

109)

rilght

In the figure shown, θ is 33 degrees, and the mass is 3.7 kg. What is T₂?

+a) 66.58 N.

-b) 76.56 N.

-c) 88.05 N.

-d) 101.25 N.

-e) 116.44 N.

110)

The moment of inertia of a solid disk of mass, M, and radius, R, is ½ MR². Two identical disks, each with mass 3 kg are attached. The larger disk has a diameter of 0.92 m, and the smaller disk has a diameter of 0.48 m. If a force of 70 N is applied at the rim of the smaller disk, what is the angular acceleration?

-a) 2.83 x 10¹ s^-2

-b) 3.43 x 10¹ s^-2

+c) 4.16 x 10¹ s^-2

-d) 5.04 x 10¹ s^-2

-e) 6.11 x 10¹ s^-2

111) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.61 kg is filled with 0.21 kg of water. You are consulting for the flat earth society, a group of people who believe that the acceleration of gravity equals 9.8 m/s/s at all altitudes. Based on this assumption, from what height must the water and container be dropped to achieve the same change in temperature? (For comparison, Earth's radius is 6,371 kilometers)

-a) 6.33 x 10⁰ km

-b) 7.66 x 10⁰ km

-c) 9.29 x 10⁰ km

-d) 1.13 x 10¹ km

+e) 1.36 x 10¹ km

112) A mass with weight (mg) equal to 34 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 14 degrees with respect to the horizontal. What is the tension in each string?

-a) 61.1 N.

+b) 70.3 N.

-c) 80.8 N.

-d) 92.9 N.

-e) 106.9 N.

113) If the initial velocity after leaving the spring is 6.50 m/s, how high does it reach before coming to rest?

-a) 1.96 m

-b) 2.05 m

+c) 2.16 m

-d) 2.26 m

-e) 2.38 m

114) Mr. Smith is backing his car at a speed of 2.33 mph when he hits a cornfield (seed corn). In the course of 1.22 seconds he stops, puts his car in forward drive, and exits the field at a speed of 6.68 mph. What was the magnitude ( absolute value) of his acceleration?

-a) 2.94 x 10⁰ miles per hour per second

-b) 3.7 x 10⁰ miles per hour per second

-c) 4.66 x 10⁰ miles per hour per second

-d) 5.87 x 10⁰ miles per hour per second

+e) 7.39 x 10⁰ miles per hour per second

115) A mass with weight (mg) 6.8 newtons is on a horzontal surface. It is being pulled on by a string at an angle of 30 degrees above the horizontal, with a force equal to 2.5 newtons. If this is the maximum force before the block starts to move, what is the static coefficient of friction?

-a) 0.19

-b) 0.23

-c) 0.27

-d) 0.33

+e) 0.39

116) If you toss a coin into the air, the acceleration on the way up is

+a) down

-b) zero

-c) up

117) In the figure "3 tensions" shown above θ₁ is 15 degrees, and θ₃ is 36 degrees. The tension T₃ is 39 N. What is the weight?

-a) 23.7 N.

-b) 27.3 N.

+c) 31.4 N.

-d) 36.1 N.

-e) 41.5 N.

118) When a table cloth is quickly pulled out from under dishes, they hardly move. This is because

+a) the cloth is accelerating for such a brief time that there is little motion

-b) objects don't begin to accelerate until after the force has been applied

-c) the cloth is more slippery when it is pulled quickly

119) A car is headed due north and increasing its speed. It is also turning right because it is also traveling in a perfect circle. The velocity vector points

-a) south

-b) southwest

-c) northeast

+d) north

-e) northwest

120) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 6.27 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.38 m, and moves at a constant speed of 2.94 m/s in the +y direction. What is the value of θ (in radians)?

-a) 0.42 radians.

+b) 0.49 radians.

-c) 0.56 radians.

-d) 0.65 radians.

-e) 0.74 radians.

121) A lead filled bicycle wheel of radius 0.43 m and mass 2.2 kg is rotating at a frequency of 1.1 revolutions per second. What is the moment of inertia?

-a) 1.89 x 10^-1 kg m²/s²

-b) 2.29 x 10^-1 kg m²/s²

-c) 2.77 x 10^-1 kg m²/s²

-d) 3.36 x 10^-1 kg m²/s²

+e) 4.07 x 10^-1 kg m²/s²

Key: C0

1) A car traveling at 54 miles/hour stops in 5.2 seconds. What is the average acceleration?

+a) 4.64 x 10⁰ m/s²

-b) 8.26 x 10⁰ m/s²

-c) 1.47 x 10¹ m/s²

-d) 2.61 x 10¹ m/s²

-e) 4.64 x 10¹ m/s²

2) A car completes a complete circle of radius 2.2 miles at a speed of 63.6 miles per hour. How many minutes does it take?

-a) 9.78 x 10⁰ minutes

+b) 1.3 x 10¹ minutes

-c) 1.74 x 10¹ minutes

-d) 2.32 x 10¹ minutes

-e) 3.09 x 10¹ minutes

3) A car traveling at 27 mph increases its speed to 29.5 mph in 5.4 seconds. What is the average acceleration?

+a) 2.07 x 10^-1 m/s²

-b) 3.68 x 10^-1 m/s²

-c) 6.54 x 10^-1 m/s²

-d) 1.16 x 10⁰ m/s²

-e) 2.07 x 10⁰ m/s²

4) Mr. Smith is backing his car at a speed of 3.06 mph when he hits a cornfield (seed corn). In the course of 1.29 seconds he stops, puts his car in forward drive, and exits the field at a speed of 5.6 mph. What was the magnitude ( absolute value) of his acceleration?

-a) 3.36 x 10⁰ miles per hour per second

-b) 4.24 x 10⁰ miles per hour per second

-c) 5.33 x 10⁰ miles per hour per second

+d) 6.71 x 10⁰ miles per hour per second

-e) 8.45 x 10⁰ miles per hour per second

5) A car is accelerating uniformly at an acceleration of 3.6m/s/s. At x = 7.5m, the speed is 4.7m/s. How fast is it moving at x = 11.5 m?

-a) 4.95 m/s.

-b) 5.94 m/s.

+c) 7.13 m/s.

-d) 8.56 m/s.

-e) 10.27 m/s.

6) What is the acceleration if a car travelling at 8.45 m/s makes a skid mark that is 8.5 m long before coming to rest? (Assume uniform acceleration.)

-a) 2.43m/s².

-b) 2.92m/s².

-c) 3.5m/s².

+d) 4.2m/s².

-e) 5.04m/s².

7) A train accelerates uniformly from 12.75 m/s to 33.125 m/s, while travelling a distance of 272 m. What is the 'average' acceleration?

-a) 0.99m/s/s.

-b) 1.19m/s/s.

-c) 1.43m/s/s.

+d) 1.72m/s/s.

-e) 2.06m/s/s.

8) A particle accelerates uniformly at 13 m/s/s. How long does it take for the velocity to increase from 1024 m/s to 1888 m/s?

-a) 46.15 s

-b) 55.38 s

+c) 66.46 s

-d) 79.75 s

-e) 95.7 s

9) Mr. Smith starts from rest and accelerates to 4 m/s in 3 seconds. How far did he travel?

-a) 7.0 meters

-b) 5.0 meters

-c) 4.0 meters

+d) 6.0 meters

-e) 3.0 meters

10) Mr. Smith starts from rest and accelerates to 4 m/s in 5 seconds. How far did he travel?

-a) 11.0 meters

-b) 7.0 meters

-c) 9.0 meters

-d) 8.0 meters

+e) 10.0 meters

11) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

-a) 8.0 meters

+b) 12.0 meters

-c) 9.0 meters

-d) 11.0 meters

-e) 10.0 meters

12) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 2 seconds. He then travels at this speed for an additional 1 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

+a) 6.0 meters

-b) 5.0 meters

-c) 8.0 meters

-d) 7.0 meters

-e) 9.0 meters

13) Mr. Smith is driving at a speed of 4 m/s, when he slows down to a speed of 1 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

-a) 11.0 meters

-b) 7.0 meters

-c) 8.0 meters

-d) 9.0 meters

+e) 10.0 meters

14) Mr. Smith starts at rest and accelerates to a speed of 4 m/s, in 2 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

-a) 21.0 meters

-b) 19.0 meters

-c) 22.0 meters

-d) 23.0 meters

+e) 20.0 meters

15) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

-a) 7.0 meters

-b) 6.0 meters

-c) 4.0 meters

+d) 3.0 meters

-e) 5.0 meters

16) Mr. Smith is driving at a speed of 5 m/s, when he slows down to a speed of 4 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

-a) 10.0 meters

-b) 11.0 meters

-c) 12.0 meters

-d) 8.0 meters

+e) 9.0 meters

17) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 6 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 4 seconds to come to rest. How far did he travel?

-a) 20.0 meters

-b) 17.0 meters

-c) 18.0 meters

-d) 19.0 meters

+e) 16.0 meters

18) Mr. Smith starts from rest and accelerates to 3 m/s in 2 seconds. How far did he travel?

-a) 1.0 meters

+b) 3.0 meters

-c) 5.0 meters

-d) 4.0 meters

-e) 2.0 meters

19) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

-a) 23.0 meters

-b) 25.0 meters

-c) 26.0 meters

+d) 24.0 meters

-e) 27.0 meters

20) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 6 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 4 seconds to come to rest. How far did he travel?

-a) 13.0 meters

+b) 16.0 meters

-c) 14.0 meters

-d) 15.0 meters

-e) 17.0 meters

21) A ball is kicked horizontally from a height of 3 m, at a speed of 7.6m/s. How far does it travel before landing?

-a) 2.87 m.

-b) 3.44 m.

-c) 4.13 m.

-d) 4.96 m.

+e) 5.95 m.

22) A particle is initially at the origin and moving in the x direction at a speed of 4.1 m/s. It has an constant acceleration of 2.3 m/s² in the y direction, as well as an acceleration of 0.5 in the x direction. What angle does the velocity make with the x axis at time t = 2.7 s?

-a) 32.04 degrees.

-b) 36.85 degrees.

-c) 42.37 degrees.

+d) 48.73 degrees.

-e) 56.04 degrees.

23) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 7.34 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.22 m, and moves at a constant speed of 2.91 m/s in the +y direction. At what time do they meet?

-a) 0.23 s.

-b) 0.27 s.

+c) 0.33 s.

-d) 0.4 s.

-e) 0.47 s.

24) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 8.61 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.5 m, and moves at a constant speed of 2.43 m/s in the +y direction. What is the value of θ (in radians)?

-a) 0.16 radians.

-b) 0.19 radians.

-c) 0.22 radians.

-d) 0.25 radians.

+e) 0.29 radians.

25) The Smith family is having fun on a high speed train travelling at 47.6 m/s. Mr. Smith is at the back of the train and fires a pellet gun with a muzzle speed of 23.3 m/s at Mrs. Smith who is at the front of the train. What is the speed of the bullet with respect to Earth?

+a) 70.9 m/s.

-b) 106.4 m/s.

-c) 159.5 m/s.

-d) 239.3 m/s.

-e) 358.9 m/s.

26) The Smith family is having fun on a high speed train travelling at 48.4 m/s. Mrs. Smith, who is at the front of the train, fires straight towards the back with a bullet that is going forward with respect to Earth at a speed of 29 m/s. What was the muzzle speed of her bullet?

-a) 8.6 m/s.

-b) 12.9 m/s.

+c) 19.4 m/s.

-d) 29.1 m/s.

-e) 43.7 m/s.

27) The Smith family is having fun on a high speed train travelling at 48.1 m/s. The daugher fires at Mr. Smith with a pellet gun whose muzzle speed is 27.7 m/s. She was situated across the isle, perpendicular to the length of the train. What is the speed of her bullet with respect to Earth?

-a) 16.4 m/s.

-b) 24.7 m/s.

-c) 37 m/s.

+d) 55.5 m/s.

-e) 83.3 m/s.

28) The Smith family got in trouble for having fun on a high speed train travelling at 47.6 m/s. Mr. Smith is charged with having fired a pellet gun at his daughter (directly across the isle) with a bullet that had a speed of 88.1 m/s with respect to Earth. How fast was the bullet going relative to the daughter (i.e. train)?

-a) 35.8 m/s.

-b) 42.9 m/s.

-c) 51.5 m/s.

-d) 61.8 m/s.

+e) 74.1 m/s.

29) When a table cloth is quickly pulled out from under dishes, they hardly move. This is because

+a) the cloth is accelerating for such a brief time that there is little motion

-b) objects don't begin to accelerate until after the force has been applied

-c) the cloth is more slippery when it is pulled quickly

30) If you toss a coin into the air, the acceleration while it as its highest point is

-a) zero

-b) up

+c) down

31) If you toss a coin into the air, the velocity on the way up is

+a) up

-b) down

-c) zero

32) If you toss a coin into the air, the velocity on the way down is

-a) up

+b) down

-c) zero

33) If you toss a coin into the air, the velocity while it as its highest point is

+a) zero

-b) up

-c) down

34) A car is headed due north and increasing its speed. It is also turning left because it is also traveling in a perfect circle. The acceleration vector points

+a) northwest

-b) southwest

-c) south

-d) north

-e) northeast

35) A car is headed due north and increasing its speed. It is also turning right because it is also traveling in a perfect circle. The acceleration vector points

-a) north

+b) northeast

-c) southwest

-d) northwest

-e) south

36) A car is headed due north and increasing its speed. It is also turning left because it is also traveling in a perfect circle. The velocity vector points

-a) southeast

+b) north

-c) northwest

-d) northeast

-e) northeast

37) A car is headed due north and increasing its speed. It is also turning right because it is also traveling in a perfect circle. The velocity vector points

-a) south

-b) northeast

-c) northwest

+d) north

-e) southwest

38) A car is headed due north and decreasing its speed. It is also turning left because it is also traveling in a perfect circle. The acceleration vector points

-a) west

-b) south

-c) southeast

+d) southwest

-e) northwest

39) A car is headed due north and decreasing its speed. It is also turning right because it is also traveling in a perfect circle. The acceleration vector points

-a) south

+b) southeast

-c) northeast

-d) north

-e) northwest

40) A car is traveling west and slowing down. The acceleration is

+a) to the east

-b) zero

-c) to the west

41) A car is traveling east and slowing down. The acceleration is

-a) zero

-b) to the east

+c) to the west

42) A car is traveling east and speeding up. The acceleration is

-a) zero

+b) to the east

-c) to the west

43) If you toss a coin into the air, the acceleration on the way up is

-a) up

+b) down

-c) zero

44) A car is traveling in a perfect circle at constant speed. If the car is headed north while turning west, the acceleration is

-a) south

-b) east

-c) north

-d) zero

+e) west

45) A car is traveling in a perfect circle at constant speed. If the car is headed north while turning east, the acceleration is

-a) south

-b) zero

-c) west

-d) north

+e) east

46) As the Moon circles Earth, the acceleration of the Moon is

-a) zero

-b) opposite the direction of the Moon's velocity

-c) in the same direction as the Moon's velocity

-d) away from Earth

+e) towards Earth

47) If you toss a coin into the air, the acceleration on the way down is

+a) down

-b) zero

-c) up

48) A mass with weight (mg) of 42 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 46 degrees. What is the tension in the string?

-a) 15 N.

-b) 17.3 N.

-c) 19.8 N.

+d) 22.8 N.

-e) 26.2 N.

49) A mass with weight (mg) equal to 42 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 26 degrees with respect to the horizontal. What is the tension in each string?

-a) 27.4 N.

-b) 31.5 N.

-c) 36.2 N.

-d) 41.7 N.

+e) 47.9 N.

50) A 3 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.27 . In addition to the surface friction, there is also an air drag equal to 7 N. What is the magnitude (absolute value) of the acceleration?

-a) 3.8 m/s².

-b) 4.3 m/s².

+c) 5 m/s².

-d) 5.7 m/s².

-e) 6.6 m/s².

51) A mass with weight (mg) 11 newtons is on a horzontal surface. It is being pulled on by a string at an angle of 30 degrees above the horizontal, with a force equal to 2.77 newtons. If this is the maximum force before the block starts to move, what is the static coefficient of friction?

-a) 0.12

-b) 0.14

-c) 0.17

-d) 0.21

+e) 0.25

52) A sled of mass 5.1 kg is at rest on a rough surface. A string pulls with a tension of 48N at an angle of 48 degress above the horizontal. What is the magnitude of the friction?

-a) 24.29 N.

-b) 27.93 N.

+c) 32.12 N.

-d) 36.94 N.

-e) 42.48 N.

53) A sled of mass 5.7 kg is at rest on a rough surface. A string pulls with a tension of 40.1N at an angle of 42 degress above the horizontal. What is the normal force?

+a) 29.03 N.

-b) 33.38 N.

-c) 38.39 N.

-d) 44.15 N.

-e) 50.77 N.

54) A sled of mass 5.2 kg is at rest on a perfectly smooth surface. A string pulls with a tension of 41.3N at an angle of 55 degress above the horizontal. How long will it take to reach a speed of 9.8 m/s?

-a) 1.87 s

+b) 2.15 s

-c) 2.47 s

-d) 2.85 s

-e) 3.27 s

55) A sled of mass 2 kg is on perfectly smooth surface. A string pulls with a tension of 17.4N. At what angle above the horizontal must the string pull in order to achieve an accelerations of 2.9 m/s²?

-a) 53.3 degrees

-b) 61.3 degrees

+c) 70.5 degrees

-d) 81.1 degrees

-e) 93.3 degrees

56)

In the figure shown, θ₁ is 15 degrees, and θ₃ is 37 degrees. The tension T₃ is 22 N. What is the tension, T₁?

-a) 11.96 N.

-b) 13.75 N.

-c) 15.82 N.

+d) 18.19 N.

-e) 20.92 N.

57)

In the figure shown, θ₁ is 15 degrees, and θ₃ is 37 degrees. The tension T₃ is 22 N. What is the weight?

-a) 13.6 N.

-b) 15.6 N.

+c) 17.9 N.

-d) 20.6 N.

-e) 23.7 N.

58)

rilght

In the figure shown, θ is 36 degrees, and the mass is 3.1 kg. What is T₂?

-a) 39.08 N.

-b) 44.94 N.

+c) 51.69 N.

-d) 59.44 N.

-e) 68.35 N.

59)

rilght

In the figure shown, θ is 28 degrees, and the mass is 2.9 kg. What is T₁?

-a) 30.9 N.

-b) 37.1 N.

-c) 44.5 N.

+d) 53.5 N.

-e) 64.1 N.

60)

In the figure shown, θ₁ is 17 degrees , and θ₃ is 39 degrees . The mass has a weight of 42 N. What is the tension, T₁?

-a) 34.24 N.

+b) 39.37 N.

-c) 45.28 N.

-d) 52.07 N.

-e) 59.88 N.

61)

In the figure shown, the mass of m₁ is 6.5 kg, and the mass of m₂ is 2.5 kg. If the external force, F_ext on m₂ is 141 N, what is the tension in the connecting string? Assume no friction is present.

-a) 58.2 N

-b) 67 N

-c) 77 N

-d) 88.6 N

+e) 101.8 N

62)

In the figure shown (with m₁ = 5.4 kg, m₂ = 3.9 kg, and F_ext = 136 N), what is the acceleration? Assume no friction is present.

-a) 12.7 m/s²

+b) 14.6 m/s²

-c) 16.8 m/s²

-d) 19.3 m/s²

-e) 22.2 m/s²

63) Nine barefoot baseball players, with a total mass of 679 kg plays tug of war against five basketball players wearing shoes that provide a static coefficient of friction of 0.61 . The net mass of the (shoed) basketball team is 380 kg. What is the maximum coefficient of the barefoot boys if they lose?

-a) 0.31

+b) 0.341

-c) 0.376

-d) 0.413

-e) 0.454

64) Without their shoes, members of a 9 person baseball team have a coefficient of static friction of only 0.36 . But the team wins a game of tug of war due to their superior mass of 683 kg. They are playing against a 5 person basketball team with a net mass of 406 kg. What is the maximum coefficient of static friction of the basketball team?

-a) 0.455

-b) 0.501

-c) 0.551

+d) 0.606

-e) 0.666

65)

In the figure shown, the mass of m₁ is 6.5 kg, and the mass of m₂ is 2.9 kg. If the external force, F_ext on m₂ is 132 N, what is the tension in the connecting string? Assume that m₁ has a kinetic coefficient of friction equal to 0.37, and that for m₂ the coefficient is 0.48 .

+a) 89.1 N

-b) 102.5 N

-c) 117.9 N

-d) 135.5 N

-e) 155.9 N

66) A merry-go-round has an angular frequency, $\omega$, equal to 0.192 rad/sec. How many minutes does it take to complete 8.5 revolutions?

-a) 3.05 minutes.

-b) 3.51 minutes.

-c) 4.03 minutes.

+d) 4.64 minutes.

-e) 5.33 minutes.

67) A merry-go round has a period of 0.22 minutes. What is the centripetal force on a 96.9 kg person who is standing 1.95 meters from the center?

-a) 32.4 newtons.

-b) 37.2 newtons.

+c) 42.8 newtons.

-d) 49.2 newtons.

-e) 56.6 newtons.

68) A merry-go round has a period of 0.36 minutes. What is the minimum coefficient of static friction that would allow a 67.1 kg person to stand1.19 meters from the center, without grabbing something?

-a) 0.006

-b) 0.007

-c) 0.008

-d) 0.009

+e) 0.01

69) What is the gravitational acceleration on a plant that is 2.13 times more massive than Earth, and a radius that is 1.31 times greater than Earths?

-a) 8 m/s²

-b) 9.2 m/s²

-c) 10.6 m/s²

+d) 12.2 m/s²

-e) 14 m/s²

70) What is the gravitational acceleration on a plant that is 1.23 times more dense than Earth, and a radius that is 2.98 times greater than Earth's?

+a) 35.9 m/s²

-b) 41.3 m/s²

-c) 47.5 m/s²

-d) 54.6 m/s²

-e) 62.8 m/s²

71)

Is $dv/d\ell =v/r$ valid for uniform circular motion?

+a) Yes

-b) No

72)

Is $dv/r=d\ell /v$ valid for uniform circular motion?

-a) Yes

+b) No

73)

Is $rd\ell =vdv$ valid for uniform circular motion?

-a) Yes

+b) No

74)

Is $dv=|{\vec {v}}_{2}|-|{\vec {v}}_{1}|$ valid for uniform circular motion?

-a) Yes

+b) No

75)

Is $d\ell /dv=v/r$ valid for uniform circular motion?

-a) Yes

+b) No

76)

Is $dv/d\ell =r/v$ valid for uniform circular motion?

-a) Yes

+b) No

77)

Is $dv=|{\vec {v}}_{2}-{\vec {v}}_{1}|$ valid for uniform circular motion?

+a) Yes

-b) No

78)

Is $d\ell =vdt$ valid for uniform circular motion?

+a) Yes

-b) No

79)

Is $adt/v=vdt/r$ valid for uniform circular motion?

+a) Yes

-b) No

80)

Is $dv=adt$ valid for uniform circular motion?

+a) Yes

-b) No

81)

Is $|d{\vec {v}}|=adt$ valid for uniform circular motion?

+a) Yes

-b) No

82)

Is $d\ell =|{\vec {r}}_{2}-{\vec {r}}_{1}|$ valid for uniform circular motion?

+a) Yes

-b) No

83)

Is $d\ell =|{\vec {r}}_{2}|-|{\vec {r}}_{1}|$ valid for uniform circular motion?

-a) Yes

+b) No

84)

Is $v/d\ell =r/dv$ valid for uniform circular motion?

-a) Yes

+b) No

85) If the initial velocity after leaving the spring is 8.80 m/s, how high does it reach before coming to rest?

-a) 3.58 m

-b) 3.76 m

+c) 3.95 m

-d) 4.15 m

-e) 4.36 m

86) The mass of the cart is 4.0kg, and the spring constant is 9397N/m. If the initial compression of the spring is 4.00m, how high does it reach before coming to rest?

+a) 1.92E+03 m

-b) 2.01E+03 m

-c) 2.11E+03 m

-d) 2.22E+03 m

-e) 2.33E+03 m

87) What is the highest point the cart reaches if the speed was 1.4m/s, when the cart was situated at a height of 2.7m?,

+a) 2.70 m

-b) 2.84 m

-c) 2.98 m

-d) 3.13 m

-e) 3.28 m

88) The spring constant is 630N/m, and the initial compression is 0.25m. What is the mass if the cart reaches a height of 1.26m, before coming to rest?

-a) 1.312 kg

-b) 1.377 kg

-c) 1.446 kg

-d) 1.518 kg

+e) 1.594 kg

89) The cart has a mass of 36.30kg. It is moving at a speed of 2.10m/s, when it is at a height of 3.33m. If the spring constant was 677N/m, what was the initial compression?

-a) 1.69 m

-b) 1.81 m

+c) 1.93 m

-d) 2.07 m

-e) 2.21 m

90) You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

-a) 1.149 m/s

-b) 1.218 m/s

+c) 1.291 m/s

-d) 1.368 m/s

-e) 1.450 m/s

91) On object of mass 2.3 kg that is moving at a velocity of 22m/s collides with a stationary object of mass 19.8 kg. What is the final velocity if they stick? (Assume no external friction.)

-a) 1.32m/s.

-b) 1.59m/s.

-c) 1.91m/s.

+d) 2.29m/s.

-e) 2.75m/s.

92) A car of mass 863 kg is driving on an icy road at a speed of 25 m/s, when it collides with a stationary truck. After the collision they stick and move at a speed of 5.7 m/s. What was the mass of the truck?

-a) 2435 kg

+b) 2922 kg

-c) 3507 kg

-d) 4208 kg

-e) 5049 kg

93)

A 167 gm bullet strikes a ballistic pendulum of mass 2.28 kg (before the bullet struck). After impact, the pendulum rises by 65 cm. What was the speed of the bullet?

-a) 43 m/s.

-b) 46 m/s.

-c) 49 m/s.

+d) 52 m/s.

-e) 56 m/s.

94)

A massless bar of length, S = 8.1m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 32 degrees above the horizontal. An object of mass, M = 4.6kg is suspended at a length, L = 4.3m from the wall. What is the tension, T, in the string?

-a) 1.80E+01 N

-b) 2.26E+01 N

-c) 2.85E+01 N

-d) 3.59E+01 N

+e) 4.52E+01 N

95)

In the figure shown, L₁ = 5.9m, L₂ = 3.1m and L₃ = 7.4m. What is F₁ if F₂ =9.1N and F₃ =5.9N?

-a) 8.30E+00 N

-b) 1.01E+01 N

+c) 1.22E+01 N

-d) 1.48E+01 N

-e) 1.79E+01 N

96)

A massless bar of length, S = 7.9m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 37.7 degrees above the horizontal. An object of mass, M = 4.1kg is suspended at a length, L = 6.1m from the wall. What is the x (horizontal) component of the force exerted by the wall on the horizontal bar?

-a) 3.31E+01 N

+b) 4.01E+01 N

-c) 4.86E+01 N

-d) 5.89E+01 N

-e) 7.14E+01 N

97)

In the figure shown, L₁ = 5.1m, L₂ = 4.8m and L₃ = 7.4m. What is F₂ if F₁ =0.56N and F₃ =0N?

-a) 4.91E-01 N

+b) 5.95E-01 N

-c) 7.21E-01 N

-d) 8.73E-01 N

-e) 1.06E+00 N

98)

A massless bar of length, S = 9.8m is attached to a wall by a frictionless hinge (shown as a circle). The bar is held horizontal by a string that makes and angle θ = 27.4 degrees above the horizontal. An object of mass, M = 7.1kg is suspended at a length, L =5.2m from the wall. What is the y (vertical) component of the force exerted by the wall on the horizontal bar?

-a) 2.70E+01 N

+b) 3.27E+01 N

-c) 3.96E+01 N

-d) 4.79E+01 N

-e) 5.81E+01 N

99) A car with a tire radius of 0.21 m accelerates from 0 to 26 m/s in 9.1 seconds. What is the angular acceleration of the wheel?

-a) 7.65 x 10⁰ m

-b) 9.27 x 10⁰ m

-c) 1.12 x 10¹ m

+d) 1.36 x 10¹ m

-e) 1.65 x 10¹ m

100) A lead filled bicycle wheel of radius 0.35 m and mass 2.3 kg is rotating at a frequency of 1.1 revolutions per second. What is the moment of inertia?

+a) 2.82 x 10^-1 kg m²/s²

-b) 3.41 x 10^-1 kg m²/s²

-c) 4.14 x 10^-1 kg m²/s²

-d) 5.01 x 10^-1 kg m²/s²

-e) 6.07 x 10^-1 kg m²/s²

101) A lead filled bicycle wheel of radius 0.41 m and mass 2.9 kg is rotating at a frequency of 1.7 revolutions per second. What is the total kinetic energy if the wheel is rolling about a stationary axis?

+a) 2.78 x 10¹ J

-b) 3.37 x 10¹ J

-c) 4.08 x 10¹ J

-d) 4.95 x 10¹ J

-e) 5.99 x 10¹ J

102)

The moment of inertia of a solid disk of mass, M, and radius, R, is ½ MR². Two identical disks, each with mass 8.1 kg are attached. The larger disk has a diameter of 0.99 m, and the smaller disk has a diameter of 0.63 m. If a force of 87 N is applied at the rim of the smaller disk, what is the angular acceleration?

-a) 9.12 x 10⁰ s^-2

-b) 1.11 x 10¹ s^-2

-c) 1.34 x 10¹ s^-2

-d) 1.62 x 10¹ s^-2

+e) 1.97 x 10¹ s^-2

103) A cylinder with a radius of 0.31 m and a length of 3.5 m is held so that the top circular face is 4.8 m below the water. The mass of the block is 933.0 kg. The mass density of water is 1000kg/m^3. What is the pressure at the top face of the cylinder?

-a) 3.88E4 Pa

+b) 4.70E4 Pa

-c) 5.70E4 Pa

-d) 6.90E4 Pa

-e) 8.37E4 Pa

104) A cylinder with a radius of 0.31 m and a length of 3.5 m is held so that the top circular face is 4.8 m below the water. The mass of the block is 933.0 kg. The mass density of water is 1000kg/m^3. What is the buoyant force?

-a) 5.82E3 N

-b) 7.06E3 N

-c) 8.55E3 N

+d) 1.04E4 N

-e) 1.25E4 N

105) A cylinder with a radius of 0.38 m and a length of 2.2 m is held so that the top circular face is 3.8 m below the water. The mass of the block is 903.0 kg. The mass density of water is 1000kg/m^3. What is the force exerted by the water at the top surface?

-a) 1.07E4 N

-b) 1.34E4 N

+c) 1.69E4 N

-d) 2.13E4 N

-e) 2.68E4 N

106) A cylinder with a radius of 0.25 m and a length of 3.5 m is held so that the top circular face is 3.3 m below the water. The mass of the block is 922.0 kg. The mass density of water is 1000kg/m^3. What is the force exerted by the fluid on the bottom of the cylinder?

-a) 8.26E3 Pa

-b) 1.04E4 Pa

+c) 1.31E4 Pa

-d) 1.65E4 Pa

-e) 2.07E4 Pa

107) A 6.4 cm diameter pipe can fill a 1.8 m^3 volume in 8.0 minutes. Before exiting the pipe, the diameter is reduced to 3.7 cm (with no loss of flow rate). What is the speed in the first (wider) pipe?

-a) 7.94E-1 m/s

-b) 9.62E-1 m/s

+c) 1.17E0 m/s

-d) 1.41E0 m/s

-e) 1.71E0 m/s

108) A 7.0 cm diameter pipe can fill a 2.1 m^3 volume in 8.0 minutes. Before exiting the pipe, the diameter is reduced to 1.7 cm (with no loss of flow rate). What is the pressure difference (in Pascals) between the two regions of the pipe?

-a) 1.26E5

-b) 1.53E5

+c) 1.85E5

-d) 2.24E5

-e) 2.72E5

109) A 6.3 cm diameter pipe can fill a 1.4 m^3 volume in 8.0 minutes. Before exiting the pipe, the diameter is reduced to 4.8 cm (with no loss of flow rate). If two fluid elements at the center of the pipe are separated by 32.0 mm when they are both in the wide pipe, and we neglect turbulence, what is the separation when both are in the narrow pipe?

-a) 3.10E1 mm

-b) 3.76E1 mm

-c) 4.55E1 mm

+d) 5.51E1 mm

-e) 6.68E1 mm

110) A large cylinder is filled with water so that the bottom is 8.8 m below the waterline. At the bottom is a small hole with a diameter of 6.3E-4 m. How fast is the water flowing at the hole? (Neglect viscous effects, turbulence, and also assume that the hole is so small that no significant motion occurs at the top of the cylinder.)

-a) 1.08E1 m/s

+b) 1.31E1 m/s

-c) 1.59E1 m/s

-d) 1.93E1 m/s

-e) 2.34E1 m/s

111) What is the root-mean-square of -46, -13, and 17?

-a) 2.074 x 10¹

-b) 2.327 x 10¹

-c) 2.611 x 10¹

+d) 2.929 x 10¹

-e) 3.287 x 10¹

112) What is the rms speed of a molecule with an atomic mass of 11 if the temperature is 102 degrees Fahrenheit?

-a) 3.9 x 10² m/s

-b) 4.73 x 10² m/s

-c) 5.73 x 10² m/s

-d) 6.94 x 10² m/s

+e) 8.41 x 10² m/s

113) If a molecule with atomic mass equal to 4 amu has a speed of 353 m/s, what is the speed at an atom in the same atmosphere of a molecule with an atomic mass of 27 ?

-a) 7.64 x 10¹ m/s

-b) 9.26 x 10¹ m/s

-c) 1.12 x 10² m/s

+d) 1.36 x 10² m/s

-e) 1.65 x 10² m/s

114) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.99 kg is filled with 0.26 kg of water. How much heat does it take to raise both from 54.4 C to 78.1 C?

-a) 2.43 x 10⁴ J

-b) 2.86 x 10⁴ J

-c) 3.38 x 10⁴ J

-d) 3.98 x 10⁴ J

+e) 4.69 x 10⁴ J

115) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.95 kg is filled with 0.19 kg of water. What fraction of the heat went into the aluminum?

+a) 5.2 x 10^-1

-b) 6.1 x 10^-1

-c) 7.2 x 10^-1

-d) 8.5 x 10^-1

-e) 1 x 10⁰

116) {The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.68 kg is filled with 0.17 kg of water. You are consulting for the flat earth society, a group of people who believe that the acceleration of gravity equals 9.8 m/s/s at all altitudes. Based on this assumption, from what height must the water and container be dropped to achieve the same change in temperature? (For comparison, Earth's radius is 6,371 kilometers)

-a) 2.61 x 10⁰ km

-b) 3.16 x 10⁰ km

-c) 3.83 x 10⁰ km

-d) 4.64 x 10⁰ km

+e) 5.62 x 10⁰ km

117) A window is square, with a length of each side equal to 0.81 meters. The glass has a thickness of 13 mm. To decrease the heat loss, you reduce the size of the window by decreasing the length of each side by a factor of 1.24. You also increase the thickness of the glass by a factor of 2.15. If the inside and outside temperatures are unchanged, by what factor have you decreased the heat flow?. By what factor have you decreased the heat flow (assuming the same inside and outside temperatures).

-a) 1.53 x 10⁰ unit

-b) 1.86 x 10⁰ unit

-c) 2.25 x 10⁰ unit

-d) 2.73 x 10⁰ unit

+e) 3.31 x 10⁰ unit

118)

A 1241 heat cycle uses 1.1 moles of an ideal gas. The pressures and volumes are: P₁= 2 kPa, P₂= 4.1 kPa. The volumes are V₁= 2.1m³ and V₄= 4.3m³. How much work is done in in one cycle?

-a) 7.3 x 10² J

+b) 2.31 x 10³ J

-c) 7.3 x 10³ J

-d) 2.31 x 10⁴ J

-e) 7.3 x 10⁴ J

119)

A 1241 heat cycle uses 2 moles of an ideal gas. The pressures and volumes are: P₁= 1.5 kPa, P₂= 2.7 kPa. The volumes are V₁= 1.9m³ and V₄= 3.3m³. How much work is involved between 1 and 4?

-a) 6.64 x 10² J

+b) 2.1 x 10³ J

-c) 6.64 x 10³ J

-d) 2.1 x 10⁴ J

-e) 6.64 x 10⁴ J

120)

A 1241 heat cycle uses 1.9 moles of an ideal gas. The pressures and volumes are: P₁= 2.3 kPa, P₂= 5.3 kPa. The volumes are V₁= 1.8m³ and V₄= 3m³. How much work is involved between 2 and 4?

-a) 1.44 x 10² J

-b) 4.56 x 10² J

-c) 1.44 x 10³ J

+d) 4.56 x 10³ J

-e) 1.44 x 10⁴ J

121)

A 1241 heat cycle uses 1.4 moles of an ideal gas. The pressures and volumes are: P₁= 1.4 kPa, P₂= 4.1 kPa. The volumes are V₁= 2.1m³ and V₄= 4.7m³. What is the temperature at step 4?

-a) 1.79 x 10² K

+b) 5.65 x 10² K

-c) 1.79 x 10³ K

-d) 5.65 x 10³ K

-e) 1.79 x 10⁴ K

Key: C1

1)

Is $dv/d\ell =r/v$ valid for uniform circular motion?

-a) Yes

+b) No

2)

Is $d\ell =vdt$ valid for uniform circular motion?

+a) Yes

-b) No

3) If you toss a coin into the air, the velocity on the way up is

-a) zero

-b) down

+c) up

4)

Is $d\ell =|{\vec {r}}_{2}-{\vec {r}}_{1}|$ valid for uniform circular motion?

+a) Yes

-b) No

5) A cylinder with a radius of 0.38 m and a length of 2.3 m is held so that the top circular face is 4.5 m below the water. The mass of the block is 909.0 kg. The mass density of water is 1000kg/m^3. What is the buoyant force?

-a) 6.97E3 N

-b) 8.44E3 N

+c) 1.02E4 N

-d) 1.24E4 N

-e) 1.50E4 N

6) A sled of mass 2.2 kg is on perfectly smooth surface. A string pulls with a tension of 17.2N. At what angle above the horizontal must the string pull in order to achieve an accelerations of 3.5 m/s²?

-a) 36.3 degrees

-b) 41.7 degrees

-c) 47.9 degrees

-d) 55.1 degrees

+e) 63.4 degrees

7) A cylinder with a radius of 0.33 m and a length of 2.9 m is held so that the top circular face is 4.1 m below the water. The mass of the block is 912.0 kg. The mass density of water is 1000kg/m^3. What is is the force exerted by the fluid on the bottom of the cylinder?

+a) 2.35E4 Pa

-b) 2.95E4 Pa

-c) 3.72E4 Pa

-d) 4.68E4 Pa

-e) 5.90E4 Pa

8) A sled of mass 5.5 kg is at rest on a rough surface. A string pulls with a tension of 46.8N at an angle of 40 degress above the horizontal. What is the magnitude of the friction?

-a) 27.11 N.

-b) 31.17 N.

+c) 35.85 N.

-d) 41.23 N.

-e) 47.41 N.

9) A lead filled bicycle wheel of radius 0.58 m and mass 2.8 kg is rotating at a frequency of 1.8 revolutions per second. What is the moment of inertia?

+a) 9.42 x 10^-1 kg m²/s²

-b) 1.14 x 10⁰ kg m²/s²

-c) 1.38 x 10⁰ kg m²/s²

-d) 1.67 x 10⁰ kg m²/s²

-e) 2.03 x 10⁰ kg m²/s²

10) The cart has a mass of 36.50kg. It is moving at a speed of 2.10m/s, when it is at a height of 3.46m. If the spring constant was 594N/m, what was the initial compression?

-a) 1.97 m

+b) 2.11 m

-c) 2.25 m

-d) 2.41 m

-e) 2.58 m

11) The Smith family is having fun on a high speed train travelling at 47.6 m/s. The daugher fires at Mr. Smith with a pellet gun whose muzzle speed is 23.8 m/s. She was situated across the isle, perpendicular to the length of the train. What is the speed of her bullet with respect to Earth?

-a) 10.5 m/s.

-b) 15.8 m/s.

-c) 23.7 m/s.

-d) 35.5 m/s.

+e) 53.2 m/s.

12) Mr. Smith is driving at a speed of 5 m/s, when he slows down to a speed of 4 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

-a) 8.0 meters

-b) 10.0 meters

-c) 12.0 meters

+d) 9.0 meters

-e) 11.0 meters

13) Mr. Smith is driving at a speed of 4 m/s, when he slows down to a speed of 1 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

-a) 7.0 meters

-b) 8.0 meters

-c) 9.0 meters

+d) 10.0 meters

-e) 11.0 meters

14)

A massless bar of length, S = 9.2m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 30.9 degrees above the horizontal. An object of mass, M = 3.6kg is suspended at a length, L =4.9m from the wall. What is the y (vertical) component of the force exerted by the wall on the horizontal bar?

-a) 1.12E+01 N

-b) 1.36E+01 N

+c) 1.65E+01 N

-d) 2.00E+01 N

-e) 2.42E+01 N

15) A sled of mass 5.2 kg is at rest on a perfectly smooth surface. A string pulls with a tension of 46N at an angle of 32 degress above the horizontal. How long will it take to reach a speed of 9.1 m/s?

-a) 1.05 s

+b) 1.21 s

-c) 1.39 s

-d) 1.6 s

-e) 1.84 s

16) If you toss a coin into the air, the velocity on the way down is

-a) zero

-b) up

+c) down

17)

A 1241 heat cycle uses 2 moles of an ideal gas. The pressures and volumes are: P₁= 1.5 kPa, P₂= 2.7 kPa. The volumes are V₁= 1.9m³ and V₄= 3.3m³. How much work is involved between 1 and 4?

-a) 6.64 x 10² J

+b) 2.1 x 10³ J

-c) 6.64 x 10³ J

-d) 2.1 x 10⁴ J

-e) 6.64 x 10⁴ J

18) A car is traveling in a perfect circle at constant speed. If the car is headed north while turning west, the acceleration is

+a) west

-b) east

-c) north

-d) zero

-e) south

19) On object of mass 2.3 kg that is moving at a velocity of 24m/s collides with a stationary object of mass 22.8 kg. What is the final velocity if they stick? (Assume no external friction.)

-a) 1.06m/s.

-b) 1.27m/s.

-c) 1.53m/s.

-d) 1.83m/s.

+e) 2.2m/s.

20)

Is $dv=|{\vec {v}}_{2}|-|{\vec {v}}_{1}|$ valid for uniform circular motion?

-a) Yes

+b) No

21)

Is $d\ell =|{\vec {r}}_{2}|-|{\vec {r}}_{1}|$ valid for uniform circular motion?

-a) Yes

+b) No

22) The spring constant is 755N/m, and the initial compression is 0.21m. What is the mass if the cart reaches a height of 3.12m, before coming to rest?

-a) 0.494 kg

-b) 0.519 kg

+c) 0.544 kg

-d) 0.572 kg

-e) 0.600 kg

23) If you toss a coin into the air, the acceleration on the way up is

-a) up

+b) down

-c) zero

24) A 6.4 cm diameter pipe can fill a 1.8 m^3 volume in 8.0 minutes. Before exiting the pipe, the diameter is reduced to 3.7 cm (with no loss of flow rate). What is the pressure difference (in Pascals) between the two regions of the pipe?

-a) 3.04E3

-b) 3.68E3

-c) 4.46E3

+d) 5.40E3

-e) 6.55E3

25) A car traveling at 54 miles/hour stops in 5.2 seconds. What is the average acceleration?

+a) 4.64 x 10⁰ m/s²

-b) 8.26 x 10⁰ m/s²

-c) 1.47 x 10¹ m/s²

-d) 2.61 x 10¹ m/s²

-e) 4.64 x 10¹ m/s²

26) A car is headed due north and increasing its speed. It is also turning left because it is also traveling in a perfect circle. The acceleration vector points

-a) north

-b) south

-c) northeast

+d) northwest

-e) southwest

27)

In the figure shown, θ₁ is 18 degrees , and θ₃ is 29 degrees . The mass has a weight of 50 N. What is the tension, T₁?

-a) 34.19 N.

-b) 39.32 N.

-c) 45.21 N.

-d) 52 N.

+e) 59.79 N.

28) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 2 seconds. He then travels at this speed for an additional 1 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

-a) 7.0 meters

+b) 6.0 meters

-c) 9.0 meters

-d) 8.0 meters

-e) 5.0 meters

29)

In the figure shown, L₁ = 6.4m, L₂ = 3.4m and L₃ = 7.1m. What is F₂ if F₁ =0.87N and F₃ =0.1N?

+a) 1.43E+00 N

-b) 1.73E+00 N

-c) 2.10E+00 N

-d) 2.54E+00 N

-e) 3.08E+00 N

30) A car with a tire radius of 0.21 m accelerates from 0 to 29 m/s in 11 seconds. What is the angular acceleration of the wheel?

+a) 1.26 x 10¹ m

-b) 1.52 x 10¹ m

-c) 1.84 x 10¹ m

-d) 2.23 x 10¹ m

-e) 2.7 x 10¹ m

31) As the Moon circles Earth, the acceleration of the Moon is

-a) zero

+b) towards Earth

-c) away from Earth

-d) in the same direction as the Moon's velocity

-e) opposite the direction of the Moon's velocity

32) A car is traveling in a perfect circle at constant speed. If the car is headed north while turning east, the acceleration is

-a) west

-b) south

-c) zero

+d) east

-e) north

33)

A 1241 heat cycle uses 2.9 moles of an ideal gas. The pressures and volumes are: P₁= 1.7 kPa, P₂= 3.1 kPa. The volumes are V₁= 2.8m³ and V₄= 4.3m³. How much work is involved between 2 and 4?

+a) 3.6 x 10³ J

-b) 1.14 x 10⁴ J

-c) 3.6 x 10⁴ J

-d) 1.14 x 10⁵ J

-e) 3.6 x 10⁵ J

34) Mr. Smith starts at rest and accelerates to a speed of 4 m/s, in 2 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

-a) 22.0 meters

-b) 21.0 meters

-c) 23.0 meters

-d) 19.0 meters

+e) 20.0 meters

35)

Is $v/d\ell =r/dv$ valid for uniform circular motion?

-a) Yes

+b) No

36) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

-a) 26.0 meters

-b) 23.0 meters

+c) 24.0 meters

-d) 27.0 meters

-e) 25.0 meters

37) A car is headed due north and increasing its speed. It is also turning right because it is also traveling in a perfect circle. The velocity vector points

-a) northwest

+b) north

-c) northeast

-d) south

-e) southwest

38) A car is traveling east and speeding up. The acceleration is

-a) zero

-b) to the west

+c) to the east

39)

Is $dv=|{\vec {v}}_{2}-{\vec {v}}_{1}|$ valid for uniform circular motion?

+a) Yes

-b) No

40) If you toss a coin into the air, the acceleration while it as its highest point is

-a) zero

-b) up

+c) down

41) A cylinder with a radius of 0.24 m and a length of 3.8 m is held so that the top circular face is 3.5 m below the water. The mass of the block is 853.0 kg. The mass density of water is 1000kg/m^3. What is the pressure at the top face of the cylinder?

-a) 2.83E4 Pa

+b) 3.43E4 Pa

-c) 4.16E4 Pa

-d) 5.03E4 Pa

-e) 6.10E4 Pa

42) In the figure "3 tensions" shown above θ₁ is 15 degrees, and θ₃ is 36 degrees. The tension T₃ is 39 N. What is the weight?

-a) 23.7 N.

-b) 27.3 N.

+c) 31.4 N.

-d) 36.1 N.

-e) 41.5 N.

43)

A 1241 heat cycle uses 1.6 moles of an ideal gas. The pressures and volumes are: P₁= 1.5 kPa, P₂= 3 kPa. The volumes are V₁= 2.4m³ and V₄= 4.5m³. What is the temperature at step 4?

-a) 1.6 x 10¹ K

-b) 5.07 x 10¹ K

-c) 1.6 x 10² K

+d) 5.07 x 10² K

-e) 1.6 x 10³ K

44) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 6 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 4 seconds to come to rest. How far did he travel?

-a) 14.0 meters

-b) 17.0 meters

-c) 13.0 meters

-d) 15.0 meters

+e) 16.0 meters

45) Mr. Smith starts from rest and accelerates to 3 m/s in 2 seconds. How far did he travel?

-a) 5.0 meters

-b) 2.0 meters

+c) 3.0 meters

-d) 1.0 meters

-e) 4.0 meters

46) A car is accelerating uniformly at an acceleration of 3.2m/s/s. At x = 7.5m, the speed is 4m/s. How fast is it moving at x = 12 m?

-a) 4.65 m/s.

-b) 5.58 m/s.

+c) 6.69 m/s.

-d) 8.03 m/s.

-e) 9.64 m/s.

47) A large cylinder is filled with water so that the bottom is 8.9 m below the waterline. At the bottom is a small hole with a diameter of 7.6E-4 m. How fast is the water flowing at the hole? (Neglect viscous effects, turbulence, and also assume that the hole is so small that no significant motion occurs at the top of the cylinder.)

-a) 1.09E1 m/s

+b) 1.32E1 m/s

-c) 1.60E1 m/s

-d) 1.94E1 m/s

-e) 2.35E1 m/s

48) If you toss a coin into the air, the acceleration on the way down is

+a) down

-b) up

-c) zero

49)

Is $dv/d\ell =v/r$ valid for uniform circular motion?

+a) Yes

-b) No

50) If a molecule with atomic mass equal to 7 amu has a speed of 399 m/s, what is the speed at an atom in the same atmosphere of a molecule with an atomic mass of 31 ?

-a) 8.8 x 10¹ m/s

-b) 1.07 x 10² m/s

-c) 1.29 x 10² m/s

-d) 1.56 x 10² m/s

+e) 1.9 x 10² m/s

51) A merry-go round has a period of 0.26 minutes. What is the centripetal force on a 53.3 kg person who is standing 1.35 meters from the center?

-a) 7.7 newtons.

-b) 8.8 newtons.

-c) 10.2 newtons.

+d) 11.7 newtons.

-e) 13.4 newtons.

52) A mass with weight (mg) 8.7 newtons is on a horzontal surface. It is being pulled on by a string at an angle of 30 degrees above the horizontal, with a force equal to 4.08 newtons. If this is the maximum force before the block starts to move, what is the static coefficient of friction?

-a) 0.44

+b) 0.53

-c) 0.64

-d) 0.76

-e) 0.92

53) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 6.76 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.65 m, and moves at a constant speed of 2.8 m/s in the +y direction. At what time do they meet?

-a) 0.21 s.

-b) 0.25 s.

-c) 0.3 s.

-d) 0.36 s.

+e) 0.43 s.

54) Mr. Smith starts from rest and accelerates to 4 m/s in 3 seconds. How far did he travel?

+a) 6.0 meters

-b) 3.0 meters

-c) 4.0 meters

-d) 7.0 meters

-e) 5.0 meters

55) A car completes a complete circle of radius 1.7 miles at a speed of 55.1 miles per hour. How many minutes does it take?

+a) 1.16 x 10¹ minutes

-b) 1.55 x 10¹ minutes

-c) 2.07 x 10¹ minutes

-d) 2.76 x 10¹ minutes

-e) 3.68 x 10¹ minutes

56) A car is headed due north and decreasing its speed. It is also turning left because it is also traveling in a perfect circle. The acceleration vector points

+a) southwest

-b) southeast

-c) northwest

-d) south

-e) west

57) Without their shoes, members of a 9 person baseball team have a coefficient of static friction of only 0.35 . But the team wins a game of tug of war due to their superior mass of 614 kg. They are playing against a 5 person basketball team with a net mass of 405 kg. What is the maximum coefficient of static friction of the basketball team?

-a) 0.439

-b) 0.482

+c) 0.531

-d) 0.584

-e) 0.642

58) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 8.02 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.27 m, and moves at a constant speed of 2.5 m/s in the +y direction. What is the value of θ (in radians)?

-a) 0.18 radians.

-b) 0.21 radians.

-c) 0.24 radians.

-d) 0.28 radians.

+e) 0.32 radians.

59) A 7.0 cm diameter pipe can fill a 2.1 m^3 volume in 8.0 minutes. Before exiting the pipe, the diameter is reduced to 1.7 cm (with no loss of flow rate). If two fluid elements at the center of the pipe are separated by 29.0 mm when they are both in the wide pipe, and we neglect turbulence, what is the separation when both are in the narrow pipe?

-a) 4.06E2 mm

+b) 4.92E2 mm

-c) 5.96E2 mm

-d) 7.22E2 mm

-e) 8.74E2 mm

60) A particle is initially at the origin and moving in the x direction at a speed of 3.9 m/s. It has an constant acceleration of 1.9 m/s² in the y direction, as well as an acceleration of 0.5 in the x direction. What angle does the velocity make with the x axis at time t = 2.5 s?

-a) 37.12 degrees.

+b) 42.69 degrees.

-c) 49.09 degrees.

-d) 56.45 degrees.

-e) 64.92 degrees.

61) A merry-go-round has an angular frequency, $\omega$, equal to 0.188 rad/sec. How many minutes does it take to complete 6.5 revolutions?

-a) 2.74 minutes.

-b) 3.15 minutes.

+c) 3.62 minutes.

-d) 4.16 minutes.

-e) 4.79 minutes.

62) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.66 kg is filled with 0.11 kg of water. You are consulting for the flat earth society, a group of people who believe that the acceleration of gravity equals 9.8 m/s/s at all altitudes. Based on this assumption, from what height must the water and container be dropped to achieve the same change in temperature? (For comparison, Earth's radius is 6,371 kilometers)

-a) 1.64 x 10⁰ km

-b) 1.99 x 10⁰ km

-c) 2.41 x 10⁰ km

+d) 2.92 x 10⁰ km

-e) 3.54 x 10⁰ km

63) A car is headed due north and increasing its speed. It is also turning left because it is also traveling in a perfect circle. The velocity vector points

-a) northeast

+b) north

-c) northwest

-d) northeast

-e) southeast

64) What is the gravitational acceleration on a plant that is 1.29 times more dense than Earth, and a radius that is 1.53 times greater than Earth's?

-a) 12.7 m/s²

-b) 14.6 m/s²

-c) 16.8 m/s²

+d) 19.3 m/s²

-e) 22.2 m/s²

65) When a table cloth is quickly pulled out from under dishes, they hardly move. This is because

+a) the cloth is accelerating for such a brief time that there is little motion

-b) objects don't begin to accelerate until after the force has been applied

-c) the cloth is more slippery when it is pulled quickly

66) A car is headed due north and decreasing its speed. It is also turning right because it is also traveling in a perfect circle. The acceleration vector points

-a) north

+b) southeast

-c) northeast

-d) south

-e) northwest

67) What is the highest point the cart reaches if the speed was 1.5m/s, when the cart was situated at a height of 3.3m?,

-a) 3.14 m

+b) 3.30 m

-c) 3.46 m

-d) 3.64 m

-e) 3.82 m

68) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

-a) 6.0 meters

+b) 3.0 meters

-c) 4.0 meters

-d) 5.0 meters

-e) 7.0 meters

69) Mr. Smith starts from rest and accelerates to 4 m/s in 5 seconds. How far did he travel?

-a) 11.0 meters

-b) 8.0 meters

-c) 7.0 meters

-d) 9.0 meters

+e) 10.0 meters

70) A particle accelerates uniformly at 17.25 m/s/s. How long does it take for the velocity to increase from 761 m/s to 1698 m/s?

-a) 45.27 s

+b) 54.32 s

-c) 65.18 s

-d) 78.22 s

-e) 93.86 s

71)

A massless bar of length, S = 9m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 26.6 degrees above the horizontal. An object of mass, M = 3.9kg is suspended at a length, L = 6.5m from the wall. What is the x (horizontal) component of the force exerted by the wall on the horizontal bar?

-a) 3.10E+01 N

-b) 3.76E+01 N

-c) 4.55E+01 N

+d) 5.51E+01 N

-e) 6.68E+01 N

72)

A 157 gm bullet strikes a ballistic pendulum of mass 2.22 kg (before the bullet struck). After impact, the pendulum rises by 65 cm. What was the speed of the bullet?

-a) 47 m/s.

-b) 51 m/s.

+c) 54 m/s.

-d) 58 m/s.

-e) 62 m/s.

73) What is the rms speed of a molecule with an atomic mass of 18 if the temperature is 113 degrees Fahrenheit?

-a) 3.08 x 10² m/s

-b) 3.73 x 10² m/s

-c) 4.52 x 10² m/s

-d) 5.48 x 10² m/s

+e) 6.64 x 10² m/s

74) If you toss a coin into the air, the velocity while it as its highest point is

-a) up

-b) down

+c) zero

75)

Is $dv=adt$ valid for uniform circular motion?

+a) Yes

-b) No

76) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.61 kg is filled with 0.21 kg of water. How much heat does it take to raise both from 21.9 C to 98.6 C?

-a) 7.88 x 10⁴ J

-b) 9.29 x 10⁴ J

+c) 1.1 x 10⁵ J

-d) 1.29 x 10⁵ J

-e) 1.52 x 10⁵ J

77) A car of mass 884 kg is driving on an icy road at a speed of 20 m/s, when it collides with a stationary truck. After the collision they stick and move at a speed of 4.2 m/s. What was the mass of the truck?

+a) 3326 kg

-b) 3991 kg

-c) 4789 kg

-d) 5747 kg

-e) 6896 kg

78) The Smith family got in trouble for having fun on a high speed train travelling at 48.1 m/s. Mr. Smith is charged with having fired a pellet gun at his daughter (directly across the isle) with a bullet that had a speed of 92.7 m/s with respect to Earth. How fast was the bullet going relative to the daughter (i.e. train)?

-a) 38.2 m/s.

-b) 45.9 m/s.

-c) 55 m/s.

-d) 66 m/s.

+e) 79.2 m/s.

79) If the initial velocity after leaving the spring is 7.70 m/s, how high does it reach before coming to rest?

-a) 2.88 m

+b) 3.02 m

-c) 3.18 m

-d) 3.34 m

-e) 3.50 m

80) A train accelerates uniformly from 17.75 m/s to 31.625 m/s, while travelling a distance of 372 m. What is the 'average' acceleration?

-a) 0.77m/s/s.

+b) 0.92m/s/s.

-c) 1.1m/s/s.

-d) 1.33m/s/s.

-e) 1.59m/s/s.

81) A car is traveling east and slowing down. The acceleration is

+a) to the west

-b) zero

-c) to the east

82) The Smith family is having fun on a high speed train travelling at 42.3 m/s. Mrs. Smith, who is at the front of the train, fires straight towards the back with a bullet that is going forward with respect to Earth at a speed of 26.3 m/s. What was the muzzle speed of her bullet?

-a) 7.1 m/s.

-b) 10.7 m/s.

+c) 16 m/s.

-d) 24 m/s.

-e) 36 m/s.

83)

Is $adt/v=vdt/r$ valid for uniform circular motion?

+a) Yes

-b) No

84)

Is $dv/r=d\ell /v$ valid for uniform circular motion?

-a) Yes

+b) No

85) The mass of the cart is 4.0kg, and the spring constant is 5938N/m. If the initial compression of the spring is 5.00m, how high does it reach before coming to rest?

+a) 1.89E+03 m

-b) 1.99E+03 m

-c) 2.09E+03 m

-d) 2.19E+03 m

-e) 2.30E+03 m

86) A car is headed due north and increasing its speed. It is also turning right because it is also traveling in a perfect circle. The acceleration vector points

-a) northwest

-b) north

-c) south

+d) northeast

-e) southwest

87)

In the figure shown, the mass of m₁ is 7 kg, and the mass of m₂ is 3.6 kg. If the external force, F_ext on m₂ is 153 N, what is the tension in the connecting string? Assume no friction is present.

-a) 66.4 N

-b) 76.4 N

-c) 87.9 N

+d) 101 N

-e) 116.2 N

88) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 6 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 4 seconds to come to rest. How far did he travel?

-a) 19.0 meters

-b) 18.0 meters

-c) 20.0 meters

+d) 16.0 meters

-e) 17.0 meters

89) A ball is kicked horizontally from a height of 2.5 m, at a speed of 8.7m/s. How far does it travel before landing?

-a) 3.6 m.

-b) 4.32 m.

-c) 5.18 m.

+d) 6.21 m.

-e) 7.46 m.

90) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

-a) 8.0 meters

-b) 9.0 meters

-c) 11.0 meters

+d) 12.0 meters

-e) 10.0 meters

91) A 2.5 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.41 . In addition to the surface friction, there is also an air drag equal to 11 N. What is the magnitude (absolute value) of the acceleration?

-a) 7.3 m/s².

+b) 8.4 m/s².

-c) 9.7 m/s².

-d) 11.1 m/s².

-e) 12.8 m/s².

92) A mass with weight (mg) of 37 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 44 degrees. What is the tension in the string?

-a) 11.4 N.

-b) 13.1 N.

-c) 15.1 N.

-d) 17.4 N.

+e) 20 N.

93) A sled of mass 5.9 kg is at rest on a rough surface. A string pulls with a tension of 45.6N at an angle of 36 degress above the horizontal. What is the normal force?

-a) 23.45 N.

-b) 26.97 N.

+c) 31.02 N.

-d) 35.67 N.

-e) 41.02 N.

94)

rilght

In the figure shown, θ is 21 degrees, and the mass is 3.1 kg. What is T₂?

-a) 55.74 N.

-b) 64.1 N.

-c) 73.72 N.

+d) 84.77 N.

-e) 97.49 N.

95)

The moment of inertia of a solid disk of mass, M, and radius, R, is ½ MR². Two identical disks, each with mass 1.8 kg are attached. The larger disk has a diameter of 0.85 m, and the smaller disk has a diameter of 0.44 m. If a force of 14 N is applied at the rim of the smaller disk, what is the angular acceleration?

-a) 8.4 x 10⁰ s^-2

-b) 1.02 x 10¹ s^-2

-c) 1.23 x 10¹ s^-2

+d) 1.49 x 10¹ s^-2

-e) 1.81 x 10¹ s^-2

96)

In the figure shown (with m₁ = 5.4 kg, m₂ = 2.3 kg, and F_ext = 138 N), what is the acceleration? Assume no friction is present.

-a) 10.2 m/s²

-b) 11.8 m/s²

-c) 13.6 m/s²

-d) 15.6 m/s²

+e) 17.9 m/s²

97) What is the acceleration if a car travelling at 7.7 m/s makes a skid mark that is 7 m long before coming to rest? (Assume uniform acceleration.)

+a) 4.24m/s².

-b) 5.08m/s².

-c) 6.1m/s².

-d) 7.32m/s².

-e) 8.78m/s².

98) A merry-go round has a period of 0.22 minutes. What is the minimum coefficient of static friction that would allow a 96.9 kg person to stand1.95 meters from the center, without grabbing something?

-a) 0.03

-b) 0.034

-c) 0.039

+d) 0.045

-e) 0.052

99)

A massless bar of length, S = 8.4m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 25.4 degrees above the horizontal. An object of mass, M = 7.6kg is suspended at a length, L = 5.2m from the wall. What is the tension, T, in the string?

+a) 1.07E+02 N

-b) 1.35E+02 N

-c) 1.70E+02 N

-d) 2.14E+02 N

-e) 2.70E+02 N

100) A window is square, with a length of each side equal to 0.73 meters. The glass has a thickness of 16 mm. To decrease the heat loss, you reduce the size of the window by decreasing the length of each side by a factor of 1.27. You also increase the thickness of the glass by a factor of 2. If the inside and outside temperatures are unchanged, by what factor have you decreased the heat flow?. By what factor have you decreased the heat flow (assuming the same inside and outside temperatures).

-a) 1.5 x 10⁰ unit

-b) 1.81 x 10⁰ unit

-c) 2.2 x 10⁰ unit

-d) 2.66 x 10⁰ unit

+e) 3.23 x 10⁰ unit

101) Mr. Smith is backing his car at a speed of 2.39 mph when he hits a cornfield (seed corn). In the course of 2.94 seconds he stops, puts his car in forward drive, and exits the field at a speed of 5.12 mph. What was the magnitude ( absolute value) of his acceleration?

-a) 1.61 x 10⁰ miles per hour per second

-b) 2.03 x 10⁰ miles per hour per second

+c) 2.55 x 10⁰ miles per hour per second

-d) 3.22 x 10⁰ miles per hour per second

-e) 4.05 x 10⁰ miles per hour per second

102)

In the figure shown, the mass of m₁ is 5.2 kg, and the mass of m₂ is 2.9 kg. If the external force, F_ext on m₂ is 179 N, what is the tension in the connecting string? Assume that m₁ has a kinetic coefficient of friction equal to 0.36, and that for m₂ the coefficient is 0.46 .

-a) 74.4 N

-b) 85.5 N

-c) 98.3 N

+d) 113.1 N

-e) 130.1 N

103)

In the figure shown, θ₁ is 15 degrees, and θ₃ is 36 degrees. The tension T₃ is 39 N. What is the tension, T₁?

+a) 32.66 N.

-b) 37.56 N.

-c) 43.2 N.

-d) 49.68 N.

-e) 57.13 N.

104) The Smith family is having fun on a high speed train travelling at 42.3 m/s. Mr. Smith is at the back of the train and fires a pellet gun with a muzzle speed of 25.2 m/s at Mrs. Smith who is at the front of the train. What is the speed of the bullet with respect to Earth?

-a) 30 m/s.

-b) 45 m/s.

+c) 67.5 m/s.

-d) 101.3 m/s.

-e) 151.9 m/s.

105)

Is $d\ell /dv=v/r$ valid for uniform circular motion?

-a) Yes

+b) No

106) A mass with weight (mg) equal to 41 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 30 degrees with respect to the horizontal. What is the tension in each string?

-a) 23.4 N.

-b) 27 N.

-c) 31 N.

-d) 35.7 N.

+e) 41 N.

107)

Is $|d{\vec {v}}|=adt$ valid for uniform circular motion?

+a) Yes

-b) No

108)

A 1241 heat cycle uses 2.1 moles of an ideal gas. The pressures and volumes are: P₁= 2.8 kPa, P₂= 5.6 kPa. The volumes are V₁= 2.1m³ and V₄= 4.8m³. How much work is done in in one cycle?

-a) 3.78 x 10² J

-b) 1.2 x 10³ J

+c) 3.78 x 10³ J

-d) 1.2 x 10⁴ J

-e) 3.78 x 10⁴ J

109)

In the figure shown, L₁ = 6.6m, L₂ = 3.1m and L₃ = 8.8m. What is F₁ if F₂ =9.2N and F₃ =5.9N?

-a) 5.66E+00 N

-b) 6.85E+00 N

-c) 8.30E+00 N

-d) 1.01E+01 N

+e) 1.22E+01 N

110) A cylinder with a radius of 0.28 m and a length of 2.9 m is held so that the top circular face is 4.6 m below the water. The mass of the block is 880.0 kg. The mass density of water is 1000kg/m^3. What is the force exerted by the water at the top surface?

+a) 1.11E4 N

-b) 1.40E4 N

-c) 1.76E4 N

-d) 2.22E4 N

-e) 2.79E4 N

111) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.99 kg is filled with 0.26 kg of water. What fraction of the heat went into the aluminum?

-a) 2.7 x 10^-1

-b) 3.2 x 10^-1

-c) 3.8 x 10^-1

+d) 4.5 x 10^-1

-e) 5.3 x 10^-1

112) Nine barefoot baseball players, with a total mass of 679 kg plays tug of war against five basketball players wearing shoes that provide a static coefficient of friction of 0.61 . The net mass of the (shoed) basketball team is 380 kg. What is the maximum coefficient of the barefoot boys if they lose?

-a) 0.31

+b) 0.341

-c) 0.376

-d) 0.413

-e) 0.454

113) What is the root-mean-square of 45, 23, and -43?

-a) 3.414 x 10¹

+b) 3.831 x 10¹

-c) 4.298 x 10¹

-d) 4.823 x 10¹

-e) 5.411 x 10¹

114) A lead filled bicycle wheel of radius 0.38 m and mass 2.8 kg is rotating at a frequency of 1.7 revolutions per second. What is the total kinetic energy if the wheel is rotating about a stationary axis?

-a) 1.07 x 10¹ J

-b) 1.3 x 10¹ J

-c) 1.57 x 10¹ J

-d) 1.9 x 10¹ J

+e) 2.31 x 10¹ J

115) A car is traveling west and slowing down. The acceleration is

-a) zero

+b) to the east

-c) to the west

116) You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

-a) 1.022 m/s

-b) 1.084 m/s

-c) 1.149 m/s

-d) 1.218 m/s

+e) 1.291 m/s

117) A 7.0 cm diameter pipe can fill a 2.1 m^3 volume in 8.0 minutes. Before exiting the pipe, the diameter is reduced to 1.7 cm (with no loss of flow rate). What is the speed in the first (wider) pipe?

+a) 1.14E0 m/s

-b) 1.38E0 m/s

-c) 1.67E0 m/s

-d) 2.02E0 m/s

-e) 2.45E0 m/s

118)

Is $rd\ell =vdv$ valid for uniform circular motion?

-a) Yes

+b) No

119) What is the gravitational acceleration on a plant that is 1.34 times more massive than Earth, and a radius that is 1.45 times greater than Earths?

-a) 4.7 m/s²

-b) 5.4 m/s²

+c) 6.2 m/s²

-d) 7.2 m/s²

-e) 8.3 m/s²

120) A car traveling at 27 mph increases its speed to 29.5 mph in 5.4 seconds. What is the average acceleration?

+a) 2.07 x 10^-1 m/s²

-b) 3.68 x 10^-1 m/s²

-c) 6.54 x 10^-1 m/s²

-d) 1.16 x 10⁰ m/s²

-e) 2.07 x 10⁰ m/s²

121)

rilght

In the figure shown, θ is 21 degrees, and the mass is 3.1 kg. What is T₁?

+a) 79.1 N.

-b) 95 N.

-c) 114 N.

-d) 136.8 N.

-e) 164.1 N.

Key: D0

1) A car traveling at 42.8 miles/hour stops in 7.5 seconds. What is the average acceleration?

-a) 8.07 x 10^-1 m/s²

-b) 1.43 x 10⁰ m/s²

+c) 2.55 x 10⁰ m/s²

-d) 4.54 x 10⁰ m/s²

-e) 8.07 x 10⁰ m/s²

2) A car completes a complete circle of radius 2.2 miles at a speed of 63.6 miles per hour. How many minutes does it take?

-a) 9.78 x 10⁰ minutes

+b) 1.3 x 10¹ minutes

-c) 1.74 x 10¹ minutes

-d) 2.32 x 10¹ minutes

-e) 3.09 x 10¹ minutes

3) A car traveling at 30.4 mph increases its speed to 32.9 mph in 6.9 seconds. What is the average acceleration?

-a) 5.12 x 10^-2 m/s²

-b) 9.11 x 10^-2 m/s²

+c) 1.62 x 10^-1 m/s²

-d) 2.88 x 10^-1 m/s²

-e) 5.12 x 10^-1 m/s²

4) Mr. Smith is backing his car at a speed of 3.12 mph when he hits a cornfield (seed corn). In the course of 2.39 seconds he stops, puts his car in forward drive, and exits the field at a speed of 6.32 mph. What was the magnitude ( absolute value) of his acceleration?

+a) 3.95 x 10⁰ miles per hour per second

-b) 4.97 x 10⁰ miles per hour per second

-c) 6.26 x 10⁰ miles per hour per second

-d) 7.88 x 10⁰ miles per hour per second

-e) 9.92 x 10⁰ miles per hour per second

5) A car is accelerating uniformly at an acceleration of 3.6m/s/s. At x = 7.5m, the speed is 4.7m/s. How fast is it moving at x = 11.5 m?

-a) 4.95 m/s.

-b) 5.94 m/s.

+c) 7.13 m/s.

-d) 8.56 m/s.

-e) 10.27 m/s.

6) What is the acceleration if a car travelling at 10.9 m/s makes a skid mark that is 6.25 m long before coming to rest? (Assume uniform acceleration.)

-a) 5.5m/s/2.

-b) 6.6m/s/2.

-c) 7.92m/s/2.

+d) 9.5m/s/2.

-e) 11.41m/s/2.

7) A train accelerates uniformly from 17 m/s to 35.25 m/s, while travelling a distance of 151 m. What is the 'average' acceleration?

-a) 1.83m/s/s.

-b) 2.19m/s/s.

-c) 2.63m/s/s.

+d) 3.16m/s/s.

-e) 3.79m/s/s.

8) A particle accelerates uniformly at 13 m/s/s. How long does it take for the velocity to increase from 1024 m/s to 1888 m/s?

-a) 46.15 s

-b) 55.38 s

+c) 66.46 s

-d) 79.75 s

-e) 95.7 s

9) Mr. Smith starts from rest and accelerates to 4 m/s in 3 seconds. How far did he travel?

-a) 3.0 meters

-b) 5.0 meters

+c) 6.0 meters

-d) 7.0 meters

-e) 4.0 meters

10) Mr. Smith starts from rest and accelerates to 4 m/s in 5 seconds. How far did he travel?

-a) 7.0 meters

+b) 10.0 meters

-c) 11.0 meters

-d) 8.0 meters

-e) 9.0 meters

11) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

-a) 10.0 meters

-b) 9.0 meters

+c) 12.0 meters

-d) 8.0 meters

-e) 11.0 meters

12) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 2 seconds. He then travels at this speed for an additional 1 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

-a) 5.0 meters

+b) 6.0 meters

-c) 9.0 meters

-d) 7.0 meters

-e) 8.0 meters

13) Mr. Smith is driving at a speed of 4 m/s, when he slows down to a speed of 1 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

-a) 8.0 meters

-b) 11.0 meters

-c) 7.0 meters

+d) 10.0 meters

-e) 9.0 meters

14) Mr. Smith starts at rest and accelerates to a speed of 4 m/s, in 2 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

-a) 21.0 meters

-b) 23.0 meters

+c) 20.0 meters

-d) 19.0 meters

-e) 22.0 meters

15) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

-a) 6.0 meters

-b) 7.0 meters

-c) 5.0 meters

-d) 4.0 meters

+e) 3.0 meters

16) Mr. Smith is driving at a speed of 5 m/s, when he slows down to a speed of 4 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

-a) 8.0 meters

-b) 11.0 meters

+c) 9.0 meters

-d) 10.0 meters

-e) 12.0 meters

17) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 6 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 4 seconds to come to rest. How far did he travel?

-a) 17.0 meters

-b) 18.0 meters

+c) 16.0 meters

-d) 20.0 meters

-e) 19.0 meters

18) Mr. Smith starts from rest and accelerates to 3 m/s in 2 seconds. How far did he travel?

+a) 3.0 meters

-b) 5.0 meters

-c) 2.0 meters

-d) 4.0 meters

-e) 1.0 meters

19) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

+a) 24.0 meters

-b) 25.0 meters

-c) 26.0 meters

-d) 23.0 meters

-e) 27.0 meters

20) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 6 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 4 seconds to come to rest. How far did he travel?

-a) 13.0 meters

-b) 14.0 meters

-c) 15.0 meters

-d) 17.0 meters

+e) 16.0 meters

21) A ball is kicked horizontally from a height of 3 m, at a speed of 7.6m/s. How far does it travel before landing?

-a) 2.87 m.

-b) 3.44 m.

-c) 4.13 m.

-d) 4.96 m.

+e) 5.95 m.

22) A particle is initially at the origin and moving in the x direction at a speed of 4.3 m/s. It has an constant acceleration of 1.8 m/s² in the y direction, as well as an acceleration of 0.3 in the x direction. What angle does the velocity make with the x axis at time t = 2.5 s?

-a) 36.26 degrees.

+b) 41.7 degrees.

-c) 47.96 degrees.

-d) 55.15 degrees.

-e) 63.43 degrees.

23) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 7.34 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.22 m, and moves at a constant speed of 2.91 m/s in the +y direction. At what time do they meet?

-a) 0.23 s.

-b) 0.27 s.

+c) 0.33 s.

-d) 0.4 s.

-e) 0.47 s.

24) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 8.61 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.5 m, and moves at a constant speed of 2.43 m/s in the +y direction. What is the value of θ (in radians)?

-a) 0.16 radians.

-b) 0.19 radians.

-c) 0.22 radians.

-d) 0.25 radians.

+e) 0.29 radians.

25) The Smith family is having fun on a high speed train travelling at 47.5 m/s. Mr. Smith is at the back of the train and fires a pellet gun with a muzzle speed of 22.5 m/s at Mrs. Smith who is at the front of the train. What is the speed of the bullet with respect to Earth?

-a) 46.7 m/s.

+b) 70 m/s.

-c) 105 m/s.

-d) 157.5 m/s.

-e) 236.3 m/s.

26) The Smith family is having fun on a high speed train travelling at 48.4 m/s. Mrs. Smith, who is at the front of the train, fires straight towards the back with a bullet that is going forward with respect to Earth at a speed of 29 m/s. What was the muzzle speed of her bullet?

-a) 8.6 m/s.

-b) 12.9 m/s.

+c) 19.4 m/s.

-d) 29.1 m/s.

-e) 43.7 m/s.

27) The Smith family is having fun on a high speed train travelling at 47.1 m/s. The daugher fires at Mr. Smith with a pellet gun whose muzzle speed is 29.9 m/s. She was situated across the isle, perpendicular to the length of the train. What is the speed of her bullet with respect to Earth?

-a) 24.8 m/s.

-b) 37.2 m/s.

+c) 55.8 m/s.

-d) 83.7 m/s.

-e) 125.5 m/s.

28) The Smith family got in trouble for having fun on a high speed train travelling at 47.6 m/s. Mr. Smith is charged with having fired a pellet gun at his daughter (directly across the isle) with a bullet that had a speed of 88.1 m/s with respect to Earth. How fast was the bullet going relative to the daughter (i.e. train)?

-a) 35.8 m/s.

-b) 42.9 m/s.

-c) 51.5 m/s.

-d) 61.8 m/s.

+e) 74.1 m/s.

29) When a table cloth is quickly pulled out from under dishes, they hardly move. This is because

-a) objects don't begin to accelerate until after the force has been applied

-b) the cloth is more slippery when it is pulled quickly

+c) the cloth is accelerating for such a brief time that there is little motion

30) If you toss a coin into the air, the acceleration while it as its highest point is

-a) up

+b) down

-c) zero

31) If you toss a coin into the air, the velocity on the way up is

+a) up

-b) down

-c) zero

32) If you toss a coin into the air, the velocity on the way down is

-a) zero

+b) down

-c) up

33) If you toss a coin into the air, the velocity while it as its highest point is

+a) zero

-b) down

-c) up

34) A car is headed due north and increasing its speed. It is also turning left because it is also traveling in a perfect circle. The acceleration vector points

+a) northwest

-b) north

-c) south

-d) southwest

-e) northeast

35) A car is headed due north and increasing its speed. It is also turning right because it is also traveling in a perfect circle. The acceleration vector points

+a) northeast

-b) northwest

-c) southwest

-d) north

-e) south

36) A car is headed due north and increasing its speed. It is also turning left because it is also traveling in a perfect circle. The velocity vector points

-a) southeast

+b) north

-c) northwest

-d) northeast

-e) northeast

37) A car is headed due north and increasing its speed. It is also turning right because it is also traveling in a perfect circle. The velocity vector points

-a) southwest

-b) south

+c) north

-d) northeast

-e) northwest

38) A car is headed due north and decreasing its speed. It is also turning left because it is also traveling in a perfect circle. The acceleration vector points

-a) south

-b) west

-c) southeast

-d) northwest

+e) southwest

39) A car is headed due north and decreasing its speed. It is also turning right because it is also traveling in a perfect circle. The acceleration vector points

-a) northwest

-b) south

-c) northeast

+d) southeast

-e) north

40) A car is traveling west and slowing down. The acceleration is

-a) to the west

-b) zero

+c) to the east

41) A car is traveling east and slowing down. The acceleration is

+a) to the west

-b) zero

-c) to the east

42) A car is traveling east and speeding up. The acceleration is

-a) to the west

-b) zero

+c) to the east

43) If you toss a coin into the air, the acceleration on the way up is

-a) up

+b) down

-c) zero

44) A car is traveling in a perfect circle at constant speed. If the car is headed north while turning west, the acceleration is

-a) east

-b) north

-c) south

+d) west

-e) zero

45) A car is traveling in a perfect circle at constant speed. If the car is headed north while turning east, the acceleration is

+a) east

-b) west

-c) north

-d) zero

-e) south

46) As the Moon circles Earth, the acceleration of the Moon is

-a) in the same direction as the Moon's velocity

+b) towards Earth

-c) away from Earth

-d) zero

-e) opposite the direction of the Moon's velocity

47) If you toss a coin into the air, the acceleration on the way down is

-a) up

+b) down

-c) zero

48) A mass with weight (mg) of 49 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 54 degrees. What is the tension in the string?

+a) 27.5 N.

-b) 31.6 N.

-c) 36.4 N.

-d) 41.8 N.

-e) 48.1 N.

49) A mass with weight (mg) equal to 41 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 30 degrees with respect to the horizontal. What is the tension in each string?

-a) 23.4 N.

-b) 27 N.

-c) 31 N.

-d) 35.7 N.

+e) 41 N.

50) A 3.1 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.43 . In addition to the surface friction, there is also an air drag equal to 12 N. What is the magnitude (absolute value) of the acceleration?

-a) 4.6 m/s².

-b) 5.3 m/s².

-c) 6.1 m/s².

-d) 7 m/s².

+e) 8.1 m/s².

51) A mass with weight (mg) 7.9 newtons is on a horzontal surface. It is being pulled on by a string at an angle of 30 degrees above the horizontal, with a force equal to 1.64 newtons. If this is the maximum force before the block starts to move, what is the static coefficient of friction?

-a) 0.1

-b) 0.12

-c) 0.14

-d) 0.17

+e) 0.2

52) A sled of mass 5.1 kg is at rest on a rough surface. A string pulls with a tension of 48N at an angle of 48 degress above the horizontal. What is the magnitude of the friction?

-a) 24.29 N.

-b) 27.93 N.

+c) 32.12 N.

-d) 36.94 N.

-e) 42.48 N.

53) A sled of mass 5.9 kg is at rest on a rough surface. A string pulls with a tension of 45.6N at an angle of 36 degress above the horizontal. What is the normal force?

-a) 23.45 N.

-b) 26.97 N.

+c) 31.02 N.

-d) 35.67 N.

-e) 41.02 N.

54) A sled of mass 5.7 kg is at rest on a perfectly smooth surface. A string pulls with a tension of 41.7N at an angle of 55 degress above the horizontal. How long will it take to reach a speed of 10.5 m/s?

-a) 1.89 s

-b) 2.18 s

+c) 2.5 s

-d) 2.88 s

-e) 3.31 s

55) A sled of mass 2.5 kg is on perfectly smooth surface. A string pulls with a tension of 18.1N. At what angle above the horizontal must the string pull in order to achieve an accelerations of 2 m/s²?

+a) 74 degrees

-b) 85.1 degrees

-c) 97.8 degrees

-d) 112.5 degrees

-e) 129.4 degrees

56)

In the figure shown, θ₁ is 19 degrees, and θ₃ is 38 degrees. The tension T₃ is 21 N. What is the tension, T₁?

-a) 10.01 N.

-b) 11.51 N.

-c) 13.23 N.

-d) 15.22 N.

+e) 17.5 N.

57) In the figure "3 tensions" shown above θ₁ is 20 degrees, and θ₃ is 29 degrees. The tension T₃ is 25 N. What is the weight?

+a) 20.1 N.

-b) 23.1 N.

-c) 26.6 N.

-d) 30.5 N.

-e) 35.1 N.

58)

rilght

In the figure shown, θ is 33 degrees, and the mass is 2.8 kg. What is T₂?

+a) 50.38 N.

-b) 57.94 N.

-c) 66.63 N.

-d) 76.62 N.

-e) 88.12 N.

59)

rilght

In the figure shown, θ is 33 degrees, and the mass is 2.8 kg. What is T₁?

-a) 35.2 N.

+b) 42.3 N.

-c) 50.7 N.

-d) 60.8 N.

-e) 73 N.

60)

In the figure shown, θ₁ is 20 degrees , and θ₃ is 33 degrees . The mass has a weight of 31 N. What is the tension, T₁?

+a) 32.55 N.

-b) 37.44 N.

-c) 43.05 N.

-d) 49.51 N.

-e) 56.94 N.

61)

In the figure shown, the mass of m₁ is 5.4 kg, and the mass of m₂ is 3.9 kg. If the external force, F_ext on m₂ is 136 N, what is the tension in the connecting string? Assume no friction is present.

+a) 79 N

-b) 90.8 N

-c) 104.4 N

-d) 120.1 N

-e) 138.1 N

62)

In the figure shown (with m₁ = 5.1 kg, m₂ = 3.5 kg, and F_ext = 135 N), what is the acceleration? Assume no friction is present.

-a) 13.7 m/s²

+b) 15.7 m/s²

-c) 18.1 m/s²

-d) 20.8 m/s²

-e) 23.9 m/s²

63) Nine barefoot baseball players, with a total mass of 616 kg plays tug of war against five basketball players wearing shoes that provide a static coefficient of friction of 0.71 . The net mass of the (shoed) basketball team is 388 kg. What is the maximum coefficient of the barefoot boys if they lose?

+a) 0.447

-b) 0.492

-c) 0.541

-d) 0.595

-e) 0.655

64) Without their shoes, members of a 9 person baseball team have a coefficient of static friction of only 0.21 . But the team wins a game of tug of war due to their superior mass of 683 kg. They are playing against a 5 person basketball team with a net mass of 389 kg. What is the maximum coefficient of static friction of the basketball team?

-a) 0.277

-b) 0.305

-c) 0.335

+d) 0.369

-e) 0.406

65)

In the figure shown, the mass of m₁ is 5.7 kg, and the mass of m₂ is 3.1 kg. If the external force, F_ext on m₂ is 137 N, what is the tension in the connecting string? Assume that m₁ has a kinetic coefficient of friction equal to 0.34, and that for m₂ the coefficient is 0.47 .

-a) 56.7 N

-b) 65.2 N

-c) 74.9 N

+d) 86.2 N

-e) 99.1 N

66) A merry-go-round has an angular frequency, $\omega$, equal to 0.16 rad/sec. How many minutes does it take to complete 9.5 revolutions?

-a) 5.41 minutes.

+b) 6.22 minutes.

-c) 7.15 minutes.

-d) 8.22 minutes.

-e) 9.46 minutes.

67) A merry-go round has a period of 0.38 minutes. What is the centripetal force on a 64.8 kg person who is standing 1.76 meters from the center?

-a) 5 newtons.

-b) 5.7 newtons.

-c) 6.5 newtons.

-d) 7.5 newtons.

+e) 8.7 newtons.

68) A merry-go round has a period of 0.36 minutes. What is the minimum coefficient of static friction that would allow a 67.1 kg person to stand1.19 meters from the center, without grabbing something?

-a) 0.006

-b) 0.007

-c) 0.008

-d) 0.009

+e) 0.01

69) What is the gravitational acceleration on a plant that is 1.96 times more massive than Earth, and a radius that is 1.62 times greater than Earths?

-a) 4.8 m/s²

-b) 5.5 m/s²

-c) 6.4 m/s²

+d) 7.3 m/s²

-e) 8.4 m/s²

70) What is the gravitational acceleration on a plant that is 1.47 times more dense than Earth, and a radius that is 1.42 times greater than Earth's?

+a) 20.5 m/s²

-b) 23.5 m/s²

-c) 27.1 m/s²

-d) 31.1 m/s²

-e) 35.8 m/s²

71)

Is $dv/d\ell =v/r$ valid for uniform circular motion?

+a) Yes

-b) No

72)

Is $dv/r=d\ell /v$ valid for uniform circular motion?

-a) Yes

+b) No

73)

Is $rd\ell =vdv$ valid for uniform circular motion?

-a) Yes

+b) No

74)

Is $dv=|{\vec {v}}_{2}|-|{\vec {v}}_{1}|$ valid for uniform circular motion?

-a) Yes

+b) No

75)

Is $d\ell /dv=v/r$ valid for uniform circular motion?

-a) Yes

+b) No

76)

Is $dv/d\ell =r/v$ valid for uniform circular motion?

-a) Yes

+b) No

77)

Is $dv=|{\vec {v}}_{2}-{\vec {v}}_{1}|$ valid for uniform circular motion?

+a) Yes

-b) No

78)

Is $d\ell =vdt$ valid for uniform circular motion?

+a) Yes

-b) No

79)

Is $adt/v=vdt/r$ valid for uniform circular motion?

+a) Yes

-b) No

80)

Is $dv=adt$ valid for uniform circular motion?

+a) Yes

-b) No

81)

Is $|d{\vec {v}}|=adt$ valid for uniform circular motion?

+a) Yes

-b) No

82)

Is $d\ell =|{\vec {r}}_{2}-{\vec {r}}_{1}|$ valid for uniform circular motion?

+a) Yes

-b) No

83)

Is $d\ell =|{\vec {r}}_{2}|-|{\vec {r}}_{1}|$ valid for uniform circular motion?

-a) Yes

+b) No

84)

Is $v/d\ell =r/dv$ valid for uniform circular motion?

-a) Yes

+b) No

85) If the initial velocity after leaving the spring is 9.80 m/s, how high does it reach before coming to rest?

-a) 4.44 m

-b) 4.67 m

+c) 4.90 m

-d) 5.15 m

-e) 5.40 m

86) The mass of the cart is 4.0kg, and the spring constant is 5240N/m. If the initial compression of the spring is 4.00m, how high does it reach before coming to rest?

+a) 1.07E+03 m

-b) 1.12E+03 m

-c) 1.18E+03 m

-d) 1.24E+03 m

-e) 1.30E+03 m

87) What is the highest point the cart reaches if the speed was 2.5m/s, when the cart was situated at a height of 3.6m?,

-a) 3.43 m

+b) 3.60 m

-c) 3.78 m

-d) 3.97 m

-e) 4.17 m

88) The spring constant is 525N/m, and the initial compression is 0.19m. What is the mass if the cart reaches a height of 1.17m, before coming to rest?

-a) 0.714 kg

-b) 0.750 kg

-c) 0.787 kg

+d) 0.826 kg

-e) 0.868 kg

89) The cart has a mass of 38.00kg. It is moving at a speed of 2.10m/s, when it is at a height of 3.71m. If the spring constant was 540N/m, what was the initial compression?

-a) 1.78 m

-b) 1.90 m

-c) 2.03 m

-d) 2.18 m

+e) 2.33 m

90) You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

-a) 1.149 m/s

-b) 1.218 m/s

+c) 1.291 m/s

-d) 1.368 m/s

-e) 1.450 m/s

91) On object of mass 2.7 kg that is moving at a velocity of 25m/s collides with a stationary object of mass 20.75 kg. What is the final velocity if they stick? (Assume no external friction.)

-a) 2m/s.

-b) 2.4m/s.

+c) 2.88m/s.

-d) 3.45m/s.

-e) 4.14m/s.

92) A car of mass 856 kg is driving on an icy road at a speed of 19 m/s, when it collides with a stationary truck. After the collision they stick and move at a speed of 4.7 m/s. What was the mass of the truck?

-a) 1507 kg

-b) 1809 kg

-c) 2170 kg

+d) 2604 kg

-e) 3125 kg

93)

A 191 gm bullet strikes a ballistic pendulum of mass 2.02 kg (before the bullet struck). After impact, the pendulum rises by 65 cm. What was the speed of the bullet?

-a) 34 m/s.

-b) 36 m/s.

-c) 39 m/s.

+d) 41 m/s.

-e) 44 m/s.

94)

A massless bar of length, S = 7.6m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 26.6 degrees above the horizontal. An object of mass, M = 6.4kg is suspended at a length, L = 6.1m from the wall. What is the tension, T, in the string?

-a) 4.48E+01 N

-b) 5.63E+01 N

-c) 7.09E+01 N

-d) 8.93E+01 N

+e) 1.12E+02 N

95)

In the figure shown, L₁ = 6.9m, L₂ = 4.3m and L₃ = 8m. What is F₁ if F₂ =8.4N and F₃ =5.2N?

-a) 7.67E+00 N

-b) 9.30E+00 N

+c) 1.13E+01 N

-d) 1.36E+01 N

-e) 1.65E+01 N

96)

A massless bar of length, S = 9m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 28.9 degrees above the horizontal. An object of mass, M = 9.2kg is suspended at a length, L = 4.3m from the wall. What is the x (horizontal) component of the force exerted by the wall on the horizontal bar?

-a) 6.44E+01 N

+b) 7.80E+01 N

-c) 9.45E+01 N

-d) 1.15E+02 N

-e) 1.39E+02 N

97)

In the figure shown, L₁ = 5.5m, L₂ = 3.5m and L₃ = 8.3m. What is F₂ if F₁ =0.92N and F₃ =0.1N?

-a) 8.23E-01 N

-b) 9.98E-01 N

+c) 1.21E+00 N

-d) 1.46E+00 N

-e) 1.77E+00 N

98)

A massless bar of length, S = 9.8m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 26 degrees above the horizontal. An object of mass, M = 8.5kg is suspended at a length, L =6.1m from the wall. What is the y (vertical) component of the force exerted by the wall on the horizontal bar?

-a) 1.46E+01 N

-b) 1.77E+01 N

-c) 2.14E+01 N

-d) 2.60E+01 N

+e) 3.15E+01 N

99) A car with a tire radius of 0.35 m accelerates from 0 to 32 m/s in 8.8 seconds. What is the angular acceleration of the wheel?

-a) 5.84 x 10⁰ m

-b) 7.08 x 10⁰ m

-c) 8.58 x 10⁰ m

+d) 1.04 x 10¹ m

-e) 1.26 x 10¹ m

100) A lead filled bicycle wheel of radius 0.58 m and mass 2.8 kg is rotating at a frequency of 1.8 revolutions per second. What is the moment of inertia?

+a) 9.42 x 10^-1 kg m²/s²

-b) 1.14 x 10⁰ kg m²/s²

-c) 1.38 x 10⁰ kg m²/s²

-d) 1.67 x 10⁰ kg m²/s²

-e) 2.03 x 10⁰ kg m²/s²

101) A lead filled bicycle wheel of radius 0.37 m and mass 2.1 kg is rotating at a frequency of 1.4 revolutions per second. What is the total kinetic energy if the wheel is rotating about a stationary axis?

-a) 5.16 x 10⁰ J

-b) 6.25 x 10⁰ J

-c) 7.58 x 10⁰ J

-d) 9.18 x 10⁰ J

+e) 1.11 x 10¹ J

102)

The moment of inertia of a solid disk of mass, M, and radius, R, is ½ MR². Two identical disks, each with mass 1.8 kg are attached. The larger disk has a diameter of 0.85 m, and the smaller disk has a diameter of 0.44 m. If a force of 14 N is applied at the rim of the smaller disk, what is the angular acceleration?

-a) 8.4 x 10⁰ s^-2

-b) 1.02 x 10¹ s^-2

-c) 1.23 x 10¹ s^-2

+d) 1.49 x 10¹ s^-2

-e) 1.81 x 10¹ s^-2

103) A cylinder with a radius of 0.38 m and a length of 2.2 m is held so that the top circular face is 3.8 m below the water. The mass of the block is 903.0 kg. The mass density of water is 1000kg/m^3. What is the pressure at the top face of the cylinder?

+a) 3.72E4 Pa

-b) 4.51E4 Pa

-c) 5.47E4 Pa

-d) 6.62E4 Pa

-e) 8.02E4 Pa

104) A cylinder with a radius of 0.28 m and a length of 2.6 m is held so that the top circular face is 4.1 m below the water. The mass of the block is 831.0 kg. The mass density of water is 1000kg/m^3. What is the buoyant force?

-a) 5.18E3 N

+b) 6.28E3 N

-c) 7.60E3 N

-d) 9.21E3 N

-e) 1.12E4 N

105) A cylinder with a radius of 0.29 m and a length of 2.3 m is held so that the top circular face is 4.7 m below the water. The mass of the block is 968.0 kg. The mass density of water is 1000kg/m^3. What is what is the force exerted by the water at the top surface?

-a) 6.10E3 N

-b) 7.68E3 N

-c) 9.67E3 N

+d) 1.22E4 N

-e) 1.53E4 N

106) A cylinder with a radius of 0.29 m and a length of 2.8 m is held so that the top circular face is 4.6 m below the water. The mass of the block is 952.0 kg. The mass density of water is 1000kg/m^3. What is the force exerted by the fluid on the bottom of the cylinder?

-a) 1.52E4 Pa

+b) 1.92E4 Pa

-c) 2.41E4 Pa

-d) 3.04E4 Pa

-e) 3.82E4 Pa

107) A 9.2 cm diameter pipe can fill a 1.6 m^3 volume in 8.0 minutes. Before exiting the pipe, the diameter is reduced to 4.0 cm (with no loss of flow rate). What is the speed in the first (wider) pipe?

+a) 5.01E-1 m/s

-b) 6.08E-1 m/s

-c) 7.36E-1 m/s

-d) 8.92E-1 m/s

-e) 1.08E0 m/s

108) A 6.3 cm diameter pipe can fill a 1.4 m^3 volume in 8.0 minutes. Before exiting the pipe, the diameter is reduced to 4.8 cm (with no loss of flow rate). What is the pressure difference (in Pascals) between the two regions of the pipe?

-a) 4.84E2

-b) 5.87E2

-c) 7.11E2

+d) 8.61E2

-e) 1.04E3

109) A 6.4 cm diameter pipe can fill a 1.6 m^3 volume in 4.0 minutes. Before exiting the pipe, the diameter is reduced to 4.8 cm (with no loss of flow rate). If two fluid elements at the center of the pipe are separated by 28.0 mm when they are both in the wide pipe, and we neglect turbulence, what is the separation when both are in the narrow pipe?

-a) 2.80E1 mm

-b) 3.39E1 mm

-c) 4.11E1 mm

+d) 4.98E1 mm

-e) 6.03E1 mm

110) A large cylinder is filled with water so that the bottom is 8.0 m below the waterline. At the bottom is a small hole with a diameter of 9.1E-4 m. How fast is the water flowing at the hole? (Neglect viscous effects, turbulence, and also assume that the hole is so small that no significant motion occurs at the top of the cylinder.)

-a) 7.04E0 m/s

-b) 8.53E0 m/s

-c) 1.03E1 m/s

+d) 1.25E1 m/s

-e) 1.52E1 m/s

111) What is the root-mean-square of 5, 7, and 0?

-a) 4.426 x 10⁰

+b) 4.967 x 10⁰

-c) 5.573 x 10⁰

-d) 6.253 x 10⁰

-e) 7.015 x 10⁰

112) What is the rms speed of a molecule with an atomic mass of 17 if the temperature is 7 degrees Fahrenheit?

-a) 4.2 x 10² m/s

-b) 5.09 x 10² m/s

+c) 6.17 x 10² m/s

-d) 7.47 x 10² m/s

-e) 9.05 x 10² m/s

113) If a molecule with atomic mass equal to 9 amu has a speed of 249 m/s, what is the speed at an atom in the same atmosphere of a molecule with an atomic mass of 31 ?

-a) 6.23 x 10¹ m/s

-b) 7.54 x 10¹ m/s

-c) 9.14 x 10¹ m/s

-d) 1.11 x 10² m/s

+e) 1.34 x 10² m/s

114) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.66 kg is filled with 0.11 kg of water. How much heat does it take to raise both from 57.1 C to 78 C?

-a) 1.59 x 10⁴ J

-b) 1.87 x 10⁴ J

+c) 2.2 x 10⁴ J

-d) 2.6 x 10⁴ J

-e) 3.06 x 10⁴ J

115) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.66 kg is filled with 0.11 kg of water. What fraction of the heat went into the aluminum?

-a) 3.4 x 10^-1

-b) 4.1 x 10^-1

-c) 4.8 x 10^-1

+d) 5.6 x 10^-1

-e) 6.6 x 10^-1

116) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.82 kg is filled with 0.11 kg of water. You are consulting for the flat earth society, a group of people who believe that the acceleration of gravity equals 9.8 m/s/s at all altitudes. Based on this assumption, from what height must the water and container be dropped to achieve the same change in temperature? (For comparison, Earth's radius is 6,371 kilometers)

-a) 4.68 x 10⁰ km

-b) 5.67 x 10⁰ km

-c) 6.87 x 10⁰ km

-d) 8.32 x 10⁰ km

+e) 1.01 x 10¹ km

117) A window is square, with a length of each side equal to 0.81 meters. The glass has a thickness of 13 mm. To decrease the heat loss, you reduce the size of the window by decreasing the length of each side by a factor of 1.24. You also increase the thickness of the glass by a factor of 2.15. If the inside and outside temperatures are unchanged, by what factor have you decreased the heat flow?. By what factor have you decreased the heat flow (assuming the same inside and outside temperatures).

-a) 1.53 x 10⁰ unit

-b) 1.86 x 10⁰ unit

-c) 2.25 x 10⁰ unit

-d) 2.73 x 10⁰ unit

+e) 3.31 x 10⁰ unit

118)

A 1241 heat cycle uses 2.1 moles of an ideal gas. The pressures and volumes are: P₁= 2.8 kPa, P₂= 5.6 kPa. The volumes are V₁= 2.1m³ and V₄= 4.8m³. How much work is done in in one cycle?

-a) 3.78 x 10² J

-b) 1.2 x 10³ J

+c) 3.78 x 10³ J

-d) 1.2 x 10⁴ J

-e) 3.78 x 10⁴ J

119)

A 1241 heat cycle uses 2.4 moles of an ideal gas. The pressures and volumes are: P₁= 2.1 kPa, P₂= 3.2 kPa. The volumes are V₁= 1.1m³ and V₄= 2.2m³. How much work is involved between 1 and 4?

-a) 2.31 x 10² J

-b) 7.3 x 10² J

+c) 2.31 x 10³ J

-d) 7.3 x 10³ J

-e) 2.31 x 10⁴ J

120)

A 1241 heat cycle uses 3 moles of an ideal gas. The pressures and volumes are: P₁= 1.3 kPa, P₂= 3.7 kPa. The volumes are V₁= 1.1m³ and V₄= 2.2m³. How much work is involved between 2 and 4?

-a) 8.7 x 10² J

+b) 2.75 x 10³ J

-c) 8.7 x 10³ J

-d) 2.75 x 10⁴ J

-e) 8.7 x 10⁴ J

121)

A 1241 heat cycle uses 1.4 moles of an ideal gas. The pressures and volumes are: P₁= 1.4 kPa, P₂= 4.1 kPa. The volumes are V₁= 2.1m³ and V₄= 4.7m³. What is the temperature at step 4?

-a) 1.79 x 10² K

+b) 5.65 x 10² K

-c) 1.79 x 10³ K

-d) 5.65 x 10³ K

-e) 1.79 x 10⁴ K

Key: D1

1) Nine barefoot baseball players, with a total mass of 679 kg plays tug of war against five basketball players wearing shoes that provide a static coefficient of friction of 0.61 . The net mass of the (shoed) basketball team is 380 kg. What is the maximum coefficient of the barefoot boys if they lose?

-a) 0.31

+b) 0.341

-c) 0.376

-d) 0.413

-e) 0.454

2) A car completes a complete circle of radius 2.6 miles at a speed of 63.7 miles per hour. How many minutes does it take?

-a) 8.65 x 10⁰ minutes

-b) 1.15 x 10¹ minutes

+c) 1.54 x 10¹ minutes

-d) 2.05 x 10¹ minutes

-e) 2.74 x 10¹ minutes

3) A cylinder with a radius of 0.38 m and a length of 3.6 m is held so that the top circular face is 4.2 m below the water. The mass of the block is 829.0 kg. The mass density of water is 1000kg/m^3. What is the buoyant force?

-a) 1.09E4 N

-b) 1.32E4 N

+c) 1.60E4 N

-d) 1.94E4 N

-e) 2.35E4 N

4) A car is headed due north and increasing its speed. It is also turning left because it is also traveling in a perfect circle. The acceleration vector points

+a) northwest

-b) south

-c) northeast

-d) north

-e) southwest

5) The mass of the cart is 4.0kg, and the spring constant is 9905N/m. If the initial compression of the spring is 1.00m, how high does it reach before coming to rest?

+a) 1.26E+02 m

-b) 1.33E+02 m

-c) 1.39E+02 m

-d) 1.46E+02 m

-e) 1.54E+02 m

6)

Is $d\ell =|{\vec {r}}_{2}-{\vec {r}}_{1}|$ valid for uniform circular motion?

+a) Yes

-b) No

7) A lead filled bicycle wheel of radius 0.37 m and mass 2.3 kg is rotating at a frequency of 1.6 revolutions per second. What is the moment of inertia?

+a) 3.15 x 10^-1 kg m²/s²

-b) 3.81 x 10^-1 kg m²/s²

-c) 4.62 x 10^-1 kg m²/s²

-d) 5.6 x 10^-1 kg m²/s²

-e) 6.78 x 10^-1 kg m²/s²

8) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 6.27 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.38 m, and moves at a constant speed of 2.94 m/s in the +y direction. What is the value of θ (in radians)?

-a) 0.42 radians.

+b) 0.49 radians.

-c) 0.56 radians.

-d) 0.65 radians.

-e) 0.74 radians.

9) A large cylinder is filled with water so that the bottom is 7.8 m below the waterline. At the bottom is a small hole with a diameter of 5.4E-4 m. How fast is the water flowing at the hole? (Neglect viscous effects, turbulence, and also assume that the hole is so small that no significant motion occurs at the top of the cylinder.)

-a) 8.42E0 m/s

-b) 1.02E1 m/s

+c) 1.24E1 m/s

-d) 1.50E1 m/s

-e) 1.81E1 m/s

10) A window is square, with a length of each side equal to 0.93 meters. The glass has a thickness of 15 mm. To decrease the heat loss, you reduce the size of the window by decreasing the length of each side by a factor of 1.55. You also increase the thickness of the glass by a factor of 2.54. If the inside and outside temperatures are unchanged, by what factor have you decreased the heat flow?. By what factor have you decreased the heat flow (assuming the same inside and outside temperatures).

-a) 4.16 x 10⁰ unit

-b) 5.04 x 10⁰ unit

+c) 6.1 x 10⁰ unit

-d) 7.39 x 10⁰ unit

-e) 8.96 x 10⁰ unit

11) A merry-go round has a period of 0.26 minutes. What is the centripetal force on a 53.3 kg person who is standing 1.35 meters from the center?

-a) 7.7 newtons.

-b) 8.8 newtons.

-c) 10.2 newtons.

+d) 11.7 newtons.

-e) 13.4 newtons.

12)

A massless bar of length, S = 7.3m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 27.3 degrees above the horizontal. An object of mass, M = 9.1kg is suspended at a length, L =5.3m from the wall. What is the y (vertical) component of the force exerted by the wall on the horizontal bar?

+a) 2.44E+01 N

-b) 2.96E+01 N

-c) 3.59E+01 N

-d) 4.34E+01 N

-e) 5.26E+01 N

13)

Is $dv/r=d\ell /v$ valid for uniform circular motion?

-a) Yes

+b) No

14) A particle is initially at the origin and moving in the x direction at a speed of 4.1 m/s. It has an constant acceleration of 1.9 m/s² in the y direction, as well as an acceleration of 0.9 in the x direction. What angle does the velocity make with the x axis at time t = 2.4 s?

-a) 27.27 degrees.

-b) 31.37 degrees.

+c) 36.07 degrees.

-d) 41.48 degrees.

-e) 47.7 degrees.

15) Mr. Smith is driving at a speed of 5 m/s, when he slows down to a speed of 4 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

-a) 11.0 meters

-b) 8.0 meters

+c) 9.0 meters

-d) 12.0 meters

-e) 10.0 meters

16)

Is $d\ell =vdt$ valid for uniform circular motion?

+a) Yes

-b) No

17) A 7.9 cm diameter pipe can fill a 1.5 m^3 volume in 7.0 minutes. Before exiting the pipe, the diameter is reduced to 2.7 cm (with no loss of flow rate). What is the speed in the first (wider) pipe?

-a) 6.01E-1 m/s

+b) 7.29E-1 m/s

-c) 8.83E-1 m/s

-d) 1.07E0 m/s

-e) 1.30E0 m/s

18) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.61 kg is filled with 0.21 kg of water. You are consulting for the flat earth society, a group of people who believe that the acceleration of gravity equals 9.8 m/s/s at all altitudes. Based on this assumption, from what height must the water and container be dropped to achieve the same change in temperature? (For comparison, Earth's radius is 6,371 kilometers)

-a) 6.33 x 10⁰ km

-b) 7.66 x 10⁰ km

-c) 9.29 x 10⁰ km

-d) 1.13 x 10¹ km

+e) 1.36 x 10¹ km

19) If you toss a coin into the air, the velocity while it as its highest point is

+a) zero

-b) down

-c) up

20) A car is traveling west and slowing down. The acceleration is

-a) to the west

-b) zero

+c) to the east

21)

Is $dv/d\ell =v/r$ valid for uniform circular motion?

+a) Yes

-b) No

22)

rilght

In the figure shown, θ is 28 degrees, and the mass is 2.9 kg. What is T₂?

+a) 60.54 N.

-b) 69.62 N.

-c) 80.06 N.

-d) 92.07 N.

-e) 105.88 N.

23) What is the highest point the cart reaches if the speed was 1.8m/s, when the cart was situated at a height of 2.8m?,

-a) 2.42 m

-b) 2.54 m

-c) 2.67 m

+d) 2.80 m

-e) 2.94 m

24) A car is headed due north and decreasing its speed. It is also turning left because it is also traveling in a perfect circle. The acceleration vector points

+a) southwest

-b) west

-c) northwest

-d) south

-e) southeast

25) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

-a) 25.0 meters

-b) 26.0 meters

-c) 27.0 meters

+d) 24.0 meters

-e) 23.0 meters

26) Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

-a) 4.0 meters

-b) 7.0 meters

-c) 6.0 meters

-d) 5.0 meters

+e) 3.0 meters

27) The spring constant is 704N/m, and the initial compression is 0.13m. What is the mass if the cart reaches a height of 3.02m, before coming to rest?

+a) 0.201 kg

-b) 0.211 kg

-c) 0.222 kg

-d) 0.233 kg

-e) 0.244 kg

28) Without their shoes, members of a 9 person baseball team have a coefficient of static friction of only 0.23 . But the team wins a game of tug of war due to their superior mass of 675 kg. They are playing against a 5 person basketball team with a net mass of 394 kg. What is the maximum coefficient of static friction of the basketball team?

+a) 0.394

-b) 0.433

-c) 0.477

-d) 0.524

-e) 0.577

29) A car traveling at 38.1 miles/hour stops in 2.1 seconds. What is the average acceleration?

-a) 4.56 x 10⁰ m/s²

+b) 8.11 x 10⁰ m/s²

-c) 1.44 x 10¹ m/s²

-d) 2.56 x 10¹ m/s²

-e) 4.56 x 10¹ m/s²

30) A train accelerates uniformly from 9.5 m/s to 24.5 m/s, while travelling a distance of 256 m. What is the 'average' acceleration?

+a) 1m/s/s.

-b) 1.2m/s/s.

-c) 1.43m/s/s.

-d) 1.72m/s/s.

-e) 2.07m/s/s.

31) Mr. Smith starts from rest and accelerates to 3 m/s in 2 seconds. How far did he travel?

-a) 1.0 meters

-b) 2.0 meters

-c) 4.0 meters

+d) 3.0 meters

-e) 5.0 meters

32) A 6.4 cm diameter pipe can fill a 1.6 m^3 volume in 4.0 minutes. Before exiting the pipe, the diameter is reduced to 4.8 cm (with no loss of flow rate). What is the pressure difference (in Pascals) between the two regions of the pipe?

+a) 4.64E3

-b) 5.62E3

-c) 6.81E3

-d) 8.25E3

-e) 9.99E3

33)

Is $dv=adt$ valid for uniform circular motion?

+a) Yes

-b) No

34) If you toss a coin into the air, the velocity on the way down is

+a) down

-b) zero

-c) up

35) The Smith family is having fun on a high speed train travelling at 47.6 m/s. Mrs. Smith, who is at the front of the train, fires straight towards the back with a bullet that is going forward with respect to Earth at a speed of 23.7 m/s. What was the muzzle speed of her bullet?

-a) 15.9 m/s.

+b) 23.9 m/s.

-c) 35.9 m/s.

-d) 53.8 m/s.

-e) 80.7 m/s.

36) A ball is kicked horizontally from a height of 2.8 m, at a speed of 7.9m/s. How far does it travel before landing?

-a) 3.46 m.

-b) 4.15 m.

-c) 4.98 m.

+d) 5.97 m.

-e) 7.17 m.

37)

Is $rd\ell =vdv$ valid for uniform circular motion?

-a) Yes

+b) No

38) You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

-a) 1.218 m/s

+b) 1.291 m/s

-c) 1.368 m/s

-d) 1.450 m/s

-e) 1.537 m/s

39)

In the figure shown, θ₁ is 16 degrees , and θ₃ is 35 degrees . The mass has a 'weight' of 28 N. What is the tension, T₁?

-a) 19.41 N.

-b) 22.32 N.

-c) 25.66 N.

+d) 29.51 N.

-e) 33.94 N.

40) A particle accelerates uniformly at 12.5 m/s/s. How long does it take for the velocity to increase from 968 m/s to 1883 m/s?

-a) 42.36 s

-b) 50.83 s

-c) 61 s

+d) 73.2 s

-e) 87.84 s

41) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.95 kg is filled with 0.19 kg of water. How much heat does it take to raise both from 32.6 C to 75.6 C?

-a) 3.68 x 10⁴ J

-b) 4.33 x 10⁴ J

-c) 5.11 x 10⁴ J

-d) 6.02 x 10⁴ J

+e) 7.1 x 10⁴ J

42) A mass with weight (mg) equal to 37 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 65 degrees with respect to the horizontal. What is the tension in each string?

-a) 15.4 N.

-b) 17.7 N.

+c) 20.4 N.

-d) 23.5 N.

-e) 27 N.

43) A car is traveling east and speeding up. The acceleration is

+a) to the east

-b) zero

-c) to the west

44) The Smith family got in trouble for having fun on a high speed train travelling at 47.6 m/s. Mr. Smith is charged with having fired a pellet gun at his daughter (directly across the isle) with a bullet that had a speed of 90.4 m/s with respect to Earth. How fast was the bullet going relative to the daughter (i.e. train)?

-a) 53.4 m/s.

-b) 64 m/s.

+c) 76.9 m/s.

-d) 92.2 m/s.

-e) 110.7 m/s.

45)

Is $v/d\ell =r/dv$ valid for uniform circular motion?

-a) Yes

+b) No

46) What is the root-mean-square of 1, 9, and -10?

-a) 4.914 x 10⁰

-b) 5.514 x 10⁰

-c) 6.187 x 10⁰

-d) 6.942 x 10⁰

+e) 7.789 x 10⁰

47)

Is $adt/v=vdt/r$ valid for uniform circular motion?

+a) Yes

-b) No

48) The cart has a mass of 31.70kg. It is moving at a speed of 3.30m/s, when it is at a height of 3.61m. If the spring constant was 665N/m, what was the initial compression?

-a) 1.72 m

-b) 1.84 m

+c) 1.97 m

-d) 2.11 m

-e) 2.26 m

49) A 3 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.27 . In addition to the surface friction, there is also an air drag equal to 7 N. What is the magnitude (absolute value) of the acceleration?

-a) 3.8 m/s².

-b) 4.3 m/s².

+c) 5 m/s².

-d) 5.7 m/s².

-e) 6.6 m/s².

50)

Is $|d{\vec {v}}|=adt$ valid for uniform circular motion?

+a) Yes

-b) No

51) A sled of mass 2.6 kg is on perfectly smooth surface. A string pulls with a tension of 19.3N. At what angle above the horizontal must the string pull in order to achieve an accelerations of 2.5 m/s²?

+a) 70.3 degrees

-b) 80.9 degrees

-c) 93 degrees

-d) 106.9 degrees

-e) 123 degrees

52) A sled of mass 5.7 kg is at rest on a rough surface. A string pulls with a tension of 43.9N at an angle of 50 degress above the horizontal. What is the normal force?

-a) 16.81 N.

-b) 19.33 N.

+c) 22.23 N.

-d) 25.57 N.

-e) 29.4 N.

53)

A 1241 heat cycle uses 2.9 moles of an ideal gas. The pressures and volumes are: P₁= 2.3 kPa, P₂= 4.8 kPa. The volumes are V₁= 2.1m³ and V₄= 3.5m³. How much work is done in in one cycle?

-a) 1.75 x 10¹ J

-b) 5.53 x 10¹ J

-c) 1.75 x 10² J

-d) 5.53 x 10² J

+e) 1.75 x 10³ J

54) If a molecule with atomic mass equal to 9 amu has a speed of 445 m/s, what is the speed at an atom in the same atmosphere of a molecule with an atomic mass of 25 ?

-a) 1.82 x 10² m/s

-b) 2.2 x 10² m/s

+c) 2.67 x 10² m/s

-d) 3.23 x 10² m/s

-e) 3.92 x 10² m/s

55) What is the gravitational acceleration on a plant that is 1.23 times more dense than Earth, and a radius that is 1.83 times greater than Earth's?

-a) 19.2 m/s²

+b) 22.1 m/s²

-c) 25.4 m/s²

-d) 29.2 m/s²

-e) 33.5 m/s²

56) If you toss a coin into the air, the acceleration on the way down is

-a) zero

-b) up

+c) down

57) A cylinder with a radius of 0.29 m and a length of 2.8 m is held so that the top circular face is 4.6 m below the water. The mass of the block is 952.0 kg. The mass density of water is 1000kg/m^3. What is the pressure at the top face of the cylinder?

-a) 3.07E4 Pa

-b) 3.72E4 Pa

+c) 4.51E4 Pa

-d) 5.46E4 Pa

-e) 6.62E4 Pa

58) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 2 seconds. He then travels at this speed for an additional 1 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

-a) 9.0 meters

+b) 6.0 meters

-c) 5.0 meters

-d) 8.0 meters

-e) 7.0 meters

59) What is the rms speed of a molecule with an atomic mass of 19 if the temperature is 78 degrees Fahrenheit?

-a) 4.27 x 10² m/s

-b) 5.17 x 10² m/s

+c) 6.26 x 10² m/s

-d) 7.59 x 10² m/s

-e) 9.19 x 10² m/s

60) When a table cloth is quickly pulled out from under dishes, they hardly move. This is because

-a) objects don't begin to accelerate until after the force has been applied

+b) the cloth is accelerating for such a brief time that there is little motion

-c) the cloth is more slippery when it is pulled quickly

61)

A massless bar of length, S = 8.4m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 37.7 degrees above the horizontal. An object of mass, M = 5.1kg is suspended at a length, L = 4.7m from the wall. What is the tension, T, in the string?

-a) 1.82E+01 N

-b) 2.29E+01 N

-c) 2.89E+01 N

-d) 3.63E+01 N

+e) 4.57E+01 N

62) A 7.0 cm diameter pipe can fill a 2.1 m^3 volume in 8.0 minutes. Before exiting the pipe, the diameter is reduced to 1.7 cm (with no loss of flow rate). If two fluid elements at the center of the pipe are separated by 29.0 mm when they are both in the wide pipe, and we neglect turbulence, what is the separation when both are in the narrow pipe?

-a) 4.06E2 mm

+b) 4.92E2 mm

-c) 5.96E2 mm

-d) 7.22E2 mm

-e) 8.74E2 mm

63) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 6 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 4 seconds to come to rest. How far did he travel?

-a) 18.0 meters

-b) 20.0 meters

+c) 16.0 meters

-d) 17.0 meters

-e) 19.0 meters

64) Mr. Smith starts at rest and accelerates to a speed of 4 m/s, in 2 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

-a) 19.0 meters

-b) 22.0 meters

+c) 20.0 meters

-d) 21.0 meters

-e) 23.0 meters

65) A car is accelerating uniformly at an acceleration of 3.3m/s/s. At x = 5.75m, the speed is 4.95m/s. How fast is it moving at x = 13.75 m?

-a) 5.09 m/s.

-b) 6.11 m/s.

-c) 7.33 m/s.

+d) 8.79 m/s.

-e) 10.55 m/s.

66)

The moment of inertia of a solid disk of mass, M, and radius, R, is ½ MR². Two identical disks, each with mass 3 kg are attached. The larger disk has a diameter of 0.92 m, and the smaller disk has a diameter of 0.48 m. If a force of 70 N is applied at the rim of the smaller disk, what is the angular acceleration?

-a) 2.83 x 10¹ s^-2

-b) 3.43 x 10¹ s^-2

+c) 4.16 x 10¹ s^-2

-d) 5.04 x 10¹ s^-2

-e) 6.11 x 10¹ s^-2

67)

A 1241 heat cycle uses 1.9 moles of an ideal gas. The pressures and volumes are: P₁= 2.9 kPa, P₂= 4.7 kPa. The volumes are V₁= 2.7m³ and V₄= 5.6m³. What is the temperature at step 4?

-a) 1.03 x 10¹ K

-b) 3.25 x 10¹ K

-c) 1.03 x 10² K

-d) 3.25 x 10² K

+e) 1.03 x 10³ K

68) A car is traveling east and slowing down. The acceleration is

-a) zero

+b) to the west

-c) to the east

69) A sled of mass 5.3 kg is at rest on a rough surface. A string pulls with a tension of 46.8N at an angle of 56 degress above the horizontal. What is the magnitude of the friction?

-a) 17.21 N.

-b) 19.79 N.

-c) 22.76 N.

+d) 26.17 N.

-e) 30.1 N.

70)

Is $dv/d\ell =r/v$ valid for uniform circular motion?

-a) Yes

+b) No

71)

In the figure shown, θ₁ is 15 degrees, and θ₃ is 37 degrees. The tension T₃ is 22 N. What is the tension, T₁?

-a) 11.96 N.

-b) 13.75 N.

-c) 15.82 N.

+d) 18.19 N.

-e) 20.92 N.

72) A mass with weight (mg) of 49 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 54 degrees. What is the tension in the string?

+a) 27.5 N.

-b) 31.6 N.

-c) 36.4 N.

-d) 41.8 N.

-e) 48.1 N.

73)

A 1241 heat cycle uses 2.5 moles of an ideal gas. The pressures and volumes are: P₁= 1.7 kPa, P₂= 4.5 kPa. The volumes are V₁= 1.6m³ and V₄= 2.7m³. How much work is involved between 2 and 4?

-a) 1.08 x 10³ J

+b) 3.41 x 10³ J

-c) 1.08 x 10⁴ J

-d) 3.41 x 10⁴ J

-e) 1.08 x 10⁵ J

74) If you toss a coin into the air, the acceleration on the way up is

+a) down

-b) zero

-c) up

75)

In the figure shown, the mass of m₁ is 6.8 kg, and the mass of m₂ is 3.3 kg. If the external force, F_ext on m₂ is 112 N, what is the tension in the connecting string? Assume that m₁ has a kinetic coefficient of friction equal to 0.39, and that for m₂ the coefficient is 0.46 .

-a) 48.6 N

-b) 55.9 N

-c) 64.2 N

+d) 73.9 N

-e) 85 N

76)

Is $d\ell /dv=v/r$ valid for uniform circular motion?

-a) Yes

+b) No

77) What is the gravitational acceleration on a plant that is 2.05 times more massive than Earth, and a radius that is 1.56 times greater than Earths?

-a) 4.7 m/s²

-b) 5.4 m/s²

-c) 6.2 m/s²

-d) 7.2 m/s²

+e) 8.3 m/s²

78) On object of mass 2.6 kg that is moving at a velocity of 23m/s collides with a stationary object of mass 18.17 kg. What is the final velocity if they stick? (Assume no external friction.)

+a) 2.88m/s.

-b) 3.45m/s.

-c) 4.15m/s.

-d) 4.98m/s.

-e) 5.97m/s.

79) A car is headed due north and increasing its speed. It is also turning right because it is also traveling in a perfect circle. The acceleration vector points

+a) northeast

-b) southwest

-c) northwest

-d) north

-e) south

80) As the Moon circles Earth, the acceleration of the Moon is

-a) opposite the direction of the Moon's velocity

-b) in the same direction as the Moon's velocity

+c) towards Earth

-d) zero

-e) away from Earth

81) A car is headed due north and increasing its speed. It is also turning right because it is also traveling in a perfect circle. The velocity vector points

-a) southwest

-b) northwest

-c) northeast

+d) north

-e) south

82)

Is $d\ell =|{\vec {r}}_{2}|-|{\vec {r}}_{1}|$ valid for uniform circular motion?

-a) Yes

+b) No

83) Mr. Smith is backing his car at a speed of 3.06 mph when he hits a cornfield (seed corn). In the course of 1.29 seconds he stops, puts his car in forward drive, and exits the field at a speed of 5.6 mph. What was the magnitude ( absolute value) of his acceleration?

-a) 3.36 x 10⁰ miles per hour per second

-b) 4.24 x 10⁰ miles per hour per second

-c) 5.33 x 10⁰ miles per hour per second

+d) 6.71 x 10⁰ miles per hour per second

-e) 8.45 x 10⁰ miles per hour per second

84) A cylinder with a radius of 0.29 m and a length of 2.8 m is held so that the top circular face is 4.6 m below the water. The mass of the block is 952.0 kg. The mass density of water is 1000kg/m^3. What is the force exerted by the fluid on the bottom of the cylinder?

-a) 1.52E4 Pa

+b) 1.92E4 Pa

-c) 2.41E4 Pa

-d) 3.04E4 Pa

-e) 3.82E4 Pa

85)

In the figure shown, L₁ = 6.6m, L₂ = 3.1m and L₃ = 8.8m. What is F₁ if F₂ =9.2N and F₃ =5.9N?

-a) 5.66E+00 N

-b) 6.85E+00 N

-c) 8.30E+00 N

-d) 1.01E+01 N

+e) 1.22E+01 N

86) Mr. Smith starts from rest and accelerates to 4 m/s in 5 seconds. How far did he travel?

-a) 7.0 meters

-b) 9.0 meters

+c) 10.0 meters

-d) 11.0 meters

-e) 8.0 meters

87) In the figure "3 tensions" shown above θ₁ is 17 degrees, and θ₃ is 29 degrees. The tension T₃ is 12 N. What is the weight?

-a) 5.9 N.

-b) 6.8 N.

-c) 7.8 N.

+d) 9 N.

-e) 10.4 N.

88) A car is traveling in a perfect circle at constant speed. If the car is headed north while turning west, the acceleration is

+a) west

-b) south

-c) zero

-d) north

-e) east

89) At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 5.49 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.35 m, and moves at a constant speed of 2.6 m/s in the +y direction. At what time do they meet?

-a) 0.41 s.

+b) 0.49 s.

-c) 0.58 s.

-d) 0.7 s.

-e) 0.84 s.

90) Mr. Smith is driving at a speed of 4 m/s, when he slows down to a speed of 1 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

-a) 7.0 meters

+b) 10.0 meters

-c) 9.0 meters

-d) 11.0 meters

-e) 8.0 meters

91) A cylinder with a radius of 0.33 m and a length of 2.9 m is held so that the top circular face is 4.1 m below the water. The mass of the block is 912.0 kg. The mass density of water is 1000kg/m^3. What is the force exerted by the water at the top surface?

-a) 6.89E3 N

-b) 8.67E3 N

-c) 1.09E4 N

+d) 1.37E4 N

-e) 1.73E4 N

92) A mass with weight (mg) 6 newtons is on a horzontal surface. It is being pulled on by a string at an angle of 30 degrees above the horizontal, with a force equal to 3.2 newtons. If this is the maximum force before the block starts to move, what is the static coefficient of friction?

-a) 0.52

+b) 0.63

-c) 0.76

-d) 0.91

-e) 1.09

93)

A 164 gm bullet strikes a ballistic pendulum of mass 2.48 kg (before the bullet struck). After impact, the pendulum rises by 65 cm. What was the speed of the bullet?

-a) 54 m/s.

+b) 58 m/s.

-c) 62 m/s.

-d) 66 m/s.

-e) 70 m/s.

94) A car is headed due north and increasing its speed. It is also turning left because it is also traveling in a perfect circle. The velocity vector points

+a) north

-b) southeast

-c) northeast

-d) northeast

-e) northwest

95) If the initial velocity after leaving the spring is 6.90 m/s, how high does it reach before coming to rest?

+a) 2.43 m

-b) 2.55 m

-c) 2.68 m

-d) 2.81 m

-e) 2.95 m

96) A sled of mass 5.2 kg is at rest on a perfectly smooth surface. A string pulls with a tension of 46N at an angle of 32 degress above the horizontal. How long will it take to reach a speed of 9.1 m/s?

-a) 1.05 s

+b) 1.21 s

-c) 1.39 s

-d) 1.6 s

-e) 1.84 s

97)

Is $dv=|{\vec {v}}_{2}|-|{\vec {v}}_{1}|$ valid for uniform circular motion?

-a) Yes

+b) No

98) Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

+a) 12.0 meters

-b) 11.0 meters

-c) 10.0 meters

-d) 8.0 meters

-e) 9.0 meters

99)

A massless bar of length, S = 9.2m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 35.1 degrees above the horizontal. An object of mass, M = 3.5kg is suspended at a length, L = 6.2m from the wall. What is the x (horizontal) component of the force exerted by the wall on the horizontal bar?

-a) 2.71E+01 N

+b) 3.29E+01 N

-c) 3.98E+01 N

-d) 4.83E+01 N

-e) 5.85E+01 N

100) A car traveling at 30.4 mph increases its speed to 32.9 mph in 6.9 seconds. What is the average acceleration?

-a) 5.12 x 10^-2 m/s²

-b) 9.11 x 10^-2 m/s²

+c) 1.62 x 10^-1 m/s²

-d) 2.88 x 10^-1 m/s²

-e) 5.12 x 10^-1 m/s²

101) If you toss a coin into the air, the acceleration while it as its highest point is

+a) down

-b) zero

-c) up

102)

In the figure shown (with m₁ = 6.4 kg, m₂ = 3.7 kg, and F_ext = 135 N), what is the acceleration? Assume no friction is present.

+a) 13.4 m/s²

-b) 15.4 m/s²

-c) 17.7 m/s²

-d) 20.3 m/s²

-e) 23.4 m/s²

103) Mr. Smith starts from rest and accelerates to 4 m/s in 3 seconds. How far did he travel?

-a) 4.0 meters

+b) 6.0 meters

-c) 5.0 meters

-d) 7.0 meters

-e) 3.0 meters

104) Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 6 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 4 seconds to come to rest. How far did he travel?

-a) 17.0 meters

-b) 13.0 meters

+c) 16.0 meters

-d) 15.0 meters

-e) 14.0 meters

105) A merry-go-round has an angular frequency, $\omega$, equal to 0.174 rad/sec. How many minutes does it take to complete 12.5 revolutions?

-a) 5.69 minutes.

-b) 6.54 minutes.

+c) 7.52 minutes.

-d) 8.65 minutes.

-e) 9.95 minutes.

106)

In the figure shown, the mass of m₁ is 6.7 kg, and the mass of m₂ is 2.5 kg. If the external force, F_ext on m₂ is 101 N, what is the tension in the connecting string? Assume no friction is present.

-a) 55.6 N

-b) 64 N

+c) 73.6 N

-d) 84.6 N

-e) 97.3 N

107) A merry-go round has a period of 0.26 minutes. What is the minimum coefficient of static friction that would allow a 53.3 kg person to stand1.35 meters from the center, without grabbing something?

-a) 0.019

+b) 0.022

-c) 0.026

-d) 0.03

-e) 0.034

108) The Smith family is having fun on a high speed train travelling at 47.6 m/s. Mr. Smith is at the back of the train and fires a pellet gun with a muzzle speed of 29.7 m/s at Mrs. Smith who is at the front of the train. What is the speed of the bullet with respect to Earth?

-a) 22.9 m/s.

-b) 34.4 m/s.

-c) 51.5 m/s.

+d) 77.3 m/s.

-e) 116 m/s.

109) A lead filled bicycle wheel of radius 0.33 m and mass 2.2 kg is rotating at a frequency of 1.3 revolutions per second. What is the total kinetic if the wheel is rotating about a stationary axis?

-a) 6.6 x 10⁰ J

+b) 7.99 x 10⁰ J

-c) 9.68 x 10⁰ J

-d) 1.17 x 10¹ J

-e) 1.42 x 10¹ J

110) The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.66 kg is filled with 0.11 kg of water. What fraction of the heat went into the aluminum?

-a) 3.4 x 10^-1

-b) 4.1 x 10^-1

-c) 4.8 x 10^-1

+d) 5.6 x 10^-1

-e) 6.6 x 10^-1

111)

A 1241 heat cycle uses 1.2 moles of an ideal gas. The pressures and volumes are: P₁= 1.1 kPa, P₂= 3.5 kPa. The volumes are V₁= 1.2m³ and V₄= 2.5m³. How much work is involved between 1 and 4?

-a) 1.43 x 10¹ J

-b) 4.52 x 10¹ J

-c) 1.43 x 10² J

-d) 4.52 x 10² J

+e) 1.43 x 10³ J

112)

rilght

In the figure shown, θ is 33 degrees, and the mass is 3.7 kg. What is T₁?

-a) 46.5 N.

+b) 55.8 N.

-c) 67 N.

-d) 80.4 N.

-e) 96.5 N.

113) A car is traveling in a perfect circle at constant speed. If the car is headed north while turning east, the acceleration is

-a) west

+b) east

-c) north

-d) zero

-e) south

114) What is the acceleration if a car travelling at 8.45 m/s makes a skid mark that is 8.5 m long before coming to rest? (Assume uniform acceleration.)

-a) 2.43m/s².

-b) 2.92m/s².

-c) 3.5m/s².

+d) 4.2m/s².

-e) 5.04m/s².

115) A car with a tire radius of 0.37 m accelerates from 0 to 28 m/s in 11.9 seconds. What is the angular acceleration of the wheel?

+a) 6.36 x 10⁰ m

-b) 7.7 x 10⁰ m

-c) 9.33 x 10⁰ m

-d) 1.13 x 10¹ m

-e) 1.37 x 10¹ m

116) A car of mass 856 kg is driving on an icy road at a speed of 19 m/s, when it collides with a stationary truck. After the collision they stick and move at a speed of 4.7 m/s. What was the mass of the truck?

-a) 1507 kg

-b) 1809 kg

-c) 2170 kg

+d) 2604 kg

-e) 3125 kg

117) A car is headed due north and decreasing its speed. It is also turning right because it is also traveling in a perfect circle. The acceleration vector points

-a) south

-b) north

+c) southeast

-d) northwest

-e) northeast

118)

Is $dv=|{\vec {v}}_{2}-{\vec {v}}_{1}|$ valid for uniform circular motion?

+a) Yes

-b) No

119) The Smith family is having fun on a high speed train travelling at 47.5 m/s. The daugher fires at Mr. Smith with a pellet gun whose muzzle speed is 28.2 m/s. She was situated across the isle, perpendicular to the length of the train. What is the speed of her bullet with respect to Earth?

-a) 24.6 m/s.

-b) 36.8 m/s.

+c) 55.2 m/s.

-d) 82.9 m/s.

-e) 124.3 m/s.

120) If you toss a coin into the air, the velocity on the way up is

-a) down

-b) zero

+c) up

121)

In the figure shown, L₁ = 6.6m, L₂ = 4.4m and L₃ = 7.4m. What is F₂ if F₁ =0.93N and F₃ =0N?

-a) 6.48E-01 N

-b) 7.84E-01 N

-c) 9.50E-01 N

-d) 1.15E+00 N

+e) 1.39E+00 N