# QB/a06uniformCircMotGravitation friction

< QB

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See special:permalink/1863120 for a wikitext version of this quiz.

### LaTexMarkup beginEdit

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\title{a06uniformCircMotGravitation\_friction}
\author{The LaTex code that creates this quiz is released to the Public Domain\\
Attribution for each question is documented in the Appendix}
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\begin{questions}
\question A merry-go-round has an angular frequency, \(\omega\), equal to 0.15 rad/sec. How many minutes does it take to complete 8.5 revolutions? \ifkey\endnote{a06uniformCircMotGravitation\_friction\_1 placed in Public Domain by Guy Vandegrift: {\url{https://en.wikiversity.org/wiki/special:permalink/1863120}}}\fi
\begin{choices}
\choice 4.49 minutes.
\choice 5.16 minutes.
\CorrectChoice 5.93 minutes.
\choice 6.82 minutes.
\choice 7.85 minutes.
\end{choices}
\question A merry-go round has a period of 0.22 minutes. What is the centripetal force on a 81.2 kg person who is standing 1.64 meters from the center?\ifkey\endnote{a06uniformCircMotGravitation\_friction\_2 placed in Public Domain by Guy Vandegrift: {\url{https://en.wikiversity.org/wiki/special:permalink/1863120}}}\fi
\begin{choices}
\choice 26.2 newtons.
\CorrectChoice 30.2 newtons.
\choice 34.7 newtons.
\choice 39.9 newtons.
\choice 45.9 newtons.
\end{choices}
\question A merry-go round has a period of 0.22 minutes. What is the minimum coefficient of static friction that would allow a 81.2 kg person to stand1.64 meters from the center, without grabbing something?\ifkey\endnote{a06uniformCircMotGravitation\_friction\_3 placed in Public Domain by Guy Vandegrift: {\url{https://en.wikiversity.org/wiki/special:permalink/1863120}}}\fi
\begin{choices}
\choice 0.033
\CorrectChoice 0.038
\choice 0.044
\choice 0.05
\choice 0.058
\end{choices}
\question What is the gravitational acceleration on a plant that is 2.37 times more massive than Earth, and a radius that is 1.52 times greater than Earths?\ifkey\endnote{a06uniformCircMotGravitation\_friction\_4 placed in Public Domain by Guy Vandegrift: {\url{https://en.wikiversity.org/wiki/special:permalink/1863120}}}\fi
\begin{choices}
\CorrectChoice 10.1 m/s\textsuperscript{2}
\choice 11.6 m/s\textsuperscript{2}
\choice 13.3 m/s\textsuperscript{2}
\choice 15.3 m/s\textsuperscript{2}
\choice 17.6 m/s\textsuperscript{2}
\end{choices}
\question What is the gravitational acceleration on a plant that is 2.89 times more dense than Earth, and a radius that is 2.38 times greater than Earth's?\ifkey\endnote{a06uniformCircMotGravitation\_friction\_5 placed in Public Domain by Guy Vandegrift: {\url{https://en.wikiversity.org/wiki/special:permalink/1863120}}}\fi
\begin{choices}
\choice 58.6 m/s\textsuperscript{2}
\CorrectChoice 67.4 m/s\textsuperscript{2}
\choice 77.5 m/s\textsuperscript{2}
\choice 89.1 m/s\textsuperscript{2}
\choice 102.5 m/s\textsuperscript{2}
\end{choices}
\end{questions}
\newpage\section{Renditions}
\subsection{}%%%% subsection 1
\begin{questions} %%%%%%% begin questions
\question A merry-go-round has an angular frequency, \(\omega\), equal to 0.174 rad/sec. How many minutes does it take to complete 8.5 revolutions?
\begin{choices} %%%%%%% begin choices
\choice 3.87 minutes.
\choice 4.45 minutes.
\CorrectChoice 5.12 minutes.
\choice 5.88 minutes.
\choice 6.77 minutes.
\end{choices} %%% end choices
\question A merry-go-round has an angular frequency, \(\omega\), equal to 0.192 rad/sec. How many minutes does it take to complete 12.5 revolutions?
\begin{choices} %%%%%%% begin choices
\choice 5.93 minutes.
\CorrectChoice 6.82 minutes.
\choice 7.84 minutes.
\choice 9.02 minutes.
\choice 10.37 minutes.
\end{choices} %%% end choices
\question 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?
\begin{choices} %%%%%%% begin choices
\choice 2.74 minutes.
\choice 3.15 minutes.
\CorrectChoice 3.62 minutes.
\choice 4.16 minutes.
\choice 4.79 minutes.
\end{choices} %%% end choices
\question A merry-go-round has an angular frequency, \(\omega\), equal to 0.168 rad/sec. How many minutes does it take to complete 6.5 revolutions?
\begin{choices} %%%%%%% begin choices
\choice 2.66 minutes.
\choice 3.06 minutes.
\choice 3.52 minutes.
\CorrectChoice 4.05 minutes.
\choice 4.66 minutes.
\end{choices} %%% end choices
\question 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?
\begin{choices} %%%%%%% begin choices
\choice 5.69 minutes.
\choice 6.54 minutes.
\CorrectChoice 7.52 minutes.
\choice 8.65 minutes.
\choice 9.95 minutes.
\end{choices} %%% end choices
\question 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?
\begin{choices} %%%%%%% begin choices
\choice 3.05 minutes.
\choice 3.51 minutes.
\choice 4.03 minutes.
\CorrectChoice 4.64 minutes.
\choice 5.33 minutes.
\end{choices} %%% end choices
\question 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?
\begin{choices} %%%%%%% begin choices
\choice 5.44 minutes.
\choice 6.25 minutes.
\CorrectChoice 7.19 minutes.
\choice 8.27 minutes.
\choice 9.51 minutes.
\end{choices} %%% end choices
\question A merry-go-round has an angular frequency, \(\omega\), equal to 0.15 rad/sec. How many minutes does it take to complete 9.5 revolutions?
\begin{choices} %%%%%%% begin choices
\choice 5.77 minutes.
\CorrectChoice 6.63 minutes.
\choice 7.63 minutes.
\choice 8.77 minutes.
\choice 10.09 minutes.
\end{choices} %%% end choices
\question 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?
\begin{choices} %%%%%%% begin choices
\choice 5.41 minutes.
\CorrectChoice 6.22 minutes.
\choice 7.15 minutes.
\choice 8.22 minutes.
\choice 9.46 minutes.
\end{choices} %%% end choices
\question A merry-go-round has an angular frequency, \(\omega\), equal to 0.198 rad/sec. How many minutes does it take to complete 10.5 revolutions?
\begin{choices} %%%%%%% begin choices
\choice 4.83 minutes.
\CorrectChoice 5.55 minutes.
\choice 6.39 minutes.
\choice 7.34 minutes.
\choice 8.45 minutes.
\pagebreak
\end{choices}
\end{questions}%%%%%%%% end questions
\subsection{}%%%% subsection 2
\begin{questions} %%%%%%% begin questions
\question A merry-go round has a period of 0.34 minutes. What is the centripetal force on a 89.6 kg person who is standing 2.25 meters from the center?
\begin{choices} %%%%%%% begin choices
\choice 16.6 newtons.
\CorrectChoice 19.1 newtons.
\choice 22 newtons.
\choice 25.3 newtons.
\choice 29.1 newtons.
\end{choices} %%% end choices
\question A merry-go round has a period of 0.38 minutes. What is the centripetal force on a 77.6 kg person who is standing 1.59 meters from the center?
\begin{choices} %%%%%%% begin choices
\CorrectChoice 9.4 newtons.
\choice 10.8 newtons.
\choice 12.4 newtons.
\choice 14.3 newtons.
\choice 16.4 newtons.
\end{choices} %%% end choices
\question A merry-go round has a period of 0.26 minutes. What is the centripetal force on a 51.9 kg person who is standing 1.26 meters from the center?
\begin{choices} %%%%%%% begin choices
\choice 6.1 newtons.
\choice 7 newtons.
\choice 8 newtons.
\choice 9.2 newtons.
\CorrectChoice 10.6 newtons.
\end{choices} %%% end choices
\question 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?
\begin{choices} %%%%%%% begin choices
\CorrectChoice 16.3 newtons.
\choice 18.8 newtons.
\choice 21.6 newtons.
\choice 24.8 newtons.
\choice 28.5 newtons.
\end{choices} %%% end choices
\question A merry-go round has a period of 0.34 minutes. What is the centripetal force on a 51.4 kg person who is standing 3.09 meters from the center?
\begin{choices} %%%%%%% begin choices
\choice 8.6 newtons.
\choice 9.9 newtons.
\choice 11.4 newtons.
\choice 13.1 newtons.
\CorrectChoice 15.1 newtons.
\end{choices} %%% end choices
\question 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?
\begin{choices} %%%%%%% begin choices
\choice 5 newtons.
\choice 5.7 newtons.
\choice 6.5 newtons.
\choice 7.5 newtons.
\CorrectChoice 8.7 newtons.
\end{choices} %%% end choices
\question 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?
\begin{choices} %%%%%%% begin choices
\choice 7.7 newtons.
\choice 8.8 newtons.
\choice 10.2 newtons.
\CorrectChoice 11.7 newtons.
\choice 13.4 newtons.
\end{choices} %%% end choices
\question 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?
\begin{choices} %%%%%%% begin choices
\choice 32.4 newtons.
\choice 37.2 newtons.
\CorrectChoice 42.8 newtons.
\choice 49.2 newtons.
\choice 56.6 newtons.
\end{choices} %%% end choices
\question A merry-go round has a period of 0.36 minutes. What is the centripetal force on a 73.9 kg person who is standing 2.94 meters from the center?
\begin{choices} %%%%%%% begin choices
\choice 12.1 newtons.
\choice 13.9 newtons.
\choice 16 newtons.
\CorrectChoice 18.4 newtons.
\choice 21.1 newtons.
\end{choices} %%% end choices
\question A merry-go round has a period of 0.36 minutes. What is the centripetal force on a 67.1 kg person who is standing 1.19 meters from the center?
\begin{choices} %%%%%%% begin choices
\choice 4.4 newtons.
\choice 5.1 newtons.
\choice 5.9 newtons.
\CorrectChoice 6.8 newtons.
\choice 7.8 newtons.
\pagebreak
\end{choices}
\end{questions}%%%%%%%% end questions
\subsection{}%%%% subsection 3
\begin{questions} %%%%%%% begin questions
\question A merry-go round has a period of 0.34 minutes. What is the minimum coefficient of static friction that would allow a 89.6 kg person to stand2.25 meters from the center, without grabbing something?
\begin{choices} %%%%%%% begin choices
\choice 0.019
\CorrectChoice 0.022
\choice 0.025
\choice 0.029
\choice 0.033
\end{choices} %%% end choices
\question 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?
\begin{choices} %%%%%%% begin choices
\choice 0.008
\choice 0.009
\choice 0.011
\CorrectChoice 0.012
\choice 0.014
\end{choices} %%% end choices
\question 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?
\begin{choices} %%%%%%% begin choices
\CorrectChoice 0.021
\choice 0.024
\choice 0.028
\choice 0.032
\choice 0.036
\end{choices} %%% end choices
\question A merry-go round has a period of 0.32 minutes. What is the minimum coefficient of static friction that would allow a 88.1 kg person to stand1.73 meters from the center, without grabbing something?
\begin{choices} %%%%%%% begin choices
\CorrectChoice 0.019
\choice 0.022
\choice 0.025
\choice 0.029
\choice 0.033
\end{choices} %%% end choices
\question A merry-go round has a period of 0.34 minutes. What is the minimum coefficient of static friction that would allow a 51.4 kg person to stand3.09 meters from the center, without grabbing something?
\begin{choices} %%%%%%% begin choices
\choice 0.017
\choice 0.02
\choice 0.023
\choice 0.026
\CorrectChoice 0.03
\end{choices} %%% end choices
\question 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?
\begin{choices} %%%%%%% begin choices
\choice 0.008
\choice 0.009
\choice 0.01
\choice 0.012
\CorrectChoice 0.014
\end{choices} %%% end choices
\question 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?
\begin{choices} %%%%%%% begin choices
\choice 0.019
\CorrectChoice 0.022
\choice 0.026
\choice 0.03
\choice 0.034
\end{choices} %%% end choices
\question 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?
\begin{choices} %%%%%%% begin choices
\choice 0.03
\choice 0.034
\choice 0.039
\CorrectChoice 0.045
\choice 0.052
\end{choices} %%% end choices
\question A merry-go round has a period of 0.36 minutes. What is the minimum coefficient of static friction that would allow a 73.9 kg person to stand2.94 meters from the center, without grabbing something?
\begin{choices} %%%%%%% begin choices
\choice 0.017
\choice 0.019
\choice 0.022
\CorrectChoice 0.025
\choice 0.029
\end{choices} %%% end choices
\question 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?
\begin{choices} %%%%%%% begin choices
\choice 0.006
\choice 0.007
\choice 0.008
\choice 0.009
\CorrectChoice 0.01
\pagebreak
\end{choices}
\end{questions}%%%%%%%% end questions
\subsection{}%%%% subsection 4
\begin{questions} %%%%%%% begin questions
\question What is the gravitational acceleration on a plant that is 2.67 times more massive than Earth, and a radius that is 1.74 times greater than Earths?
\begin{choices} %%%%%%% begin choices
\choice 5.7 m/s\textsuperscript{2}
\choice 6.5 m/s\textsuperscript{2}
\choice 7.5 m/s\textsuperscript{2}
\CorrectChoice 8.6 m/s\textsuperscript{2}
\choice 9.9 m/s\textsuperscript{2}
\end{choices} %%% end choices
\question 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?
\begin{choices} %%%%%%% begin choices
\CorrectChoice 10.3 m/s\textsuperscript{2}
\choice 11.8 m/s\textsuperscript{2}
\choice 13.6 m/s\textsuperscript{2}
\choice 15.6 m/s\textsuperscript{2}
\choice 18 m/s\textsuperscript{2}
\end{choices} %%% end choices
\question 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?
\begin{choices} %%%%%%% begin choices
\choice 4.7 m/s\textsuperscript{2}
\choice 5.4 m/s\textsuperscript{2}
\choice 6.2 m/s\textsuperscript{2}
\choice 7.2 m/s\textsuperscript{2}
\CorrectChoice 8.3 m/s\textsuperscript{2}
\end{choices} %%% end choices
\question 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?
\begin{choices} %%%%%%% begin choices
\choice 8.2 m/s\textsuperscript{2}
\CorrectChoice 9.4 m/s\textsuperscript{2}
\choice 10.8 m/s\textsuperscript{2}
\choice 12.5 m/s\textsuperscript{2}
\choice 14.3 m/s\textsuperscript{2}
\end{choices} %%% end choices
\question What is the gravitational acceleration on a plant that is 2.59 times more massive than Earth, and a radius that is 1.75 times greater than Earths?
\begin{choices} %%%%%%% begin choices
\CorrectChoice 8.3 m/s\textsuperscript{2}
\choice 9.5 m/s\textsuperscript{2}
\choice 11 m/s\textsuperscript{2}
\choice 12.6 m/s\textsuperscript{2}
\choice 14.5 m/s\textsuperscript{2}
\end{choices} %%% end choices
\question 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?
\begin{choices} %%%%%%% begin choices
\choice 4.7 m/s\textsuperscript{2}
\choice 5.4 m/s\textsuperscript{2}
\CorrectChoice 6.2 m/s\textsuperscript{2}
\choice 7.2 m/s\textsuperscript{2}
\choice 8.3 m/s\textsuperscript{2}
\end{choices} %%% end choices
\question 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?
\begin{choices} %%%%%%% begin choices
\choice 4.8 m/s\textsuperscript{2}
\choice 5.5 m/s\textsuperscript{2}
\choice 6.4 m/s\textsuperscript{2}
\CorrectChoice 7.3 m/s\textsuperscript{2}
\choice 8.4 m/s\textsuperscript{2}
\end{choices} %%% end choices
\question 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?
\begin{choices} %%%%%%% begin choices
\choice 8 m/s\textsuperscript{2}
\choice 9.2 m/s\textsuperscript{2}
\choice 10.6 m/s\textsuperscript{2}
\CorrectChoice 12.2 m/s\textsuperscript{2}
\choice 14 m/s\textsuperscript{2}
\end{choices} %%% end choices
\question What is the gravitational acceleration on a plant that is 1.34 times more massive than Earth, and a radius that is 1.88 times greater than Earths?
\begin{choices} %%%%%%% begin choices
\choice 2.4 m/s\textsuperscript{2}
\choice 2.8 m/s\textsuperscript{2}
\choice 3.2 m/s\textsuperscript{2}
\CorrectChoice 3.7 m/s\textsuperscript{2}
\choice 4.3 m/s\textsuperscript{2}
\end{choices} %%% end choices
\question 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?
\begin{choices} %%%%%%% begin choices
\choice 4.1 m/s\textsuperscript{2}
\choice 4.7 m/s\textsuperscript{2}
\choice 5.4 m/s\textsuperscript{2}
\choice 6.2 m/s\textsuperscript{2}
\CorrectChoice 7.2 m/s\textsuperscript{2}
\pagebreak
\end{choices}
\end{questions}%%%%%%%% end questions
\subsection{}%%%% subsection 5
\begin{questions} %%%%%%% begin questions
\question What is the gravitational acceleration on a plant that is 1.95 times more dense than Earth, and a radius that is 2.12 times greater than Earth's?
\begin{choices} %%%%%%% begin choices
\CorrectChoice 40.5 m/s\textsuperscript{2}
\choice 46.6 m/s\textsuperscript{2}
\choice 53.6 m/s\textsuperscript{2}
\choice 61.6 m/s\textsuperscript{2}
\choice 70.9 m/s\textsuperscript{2}
\end{choices} %%% end choices
\question 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?
\begin{choices} %%%%%%% begin choices
\choice 24 m/s\textsuperscript{2}
\choice 27.7 m/s\textsuperscript{2}
\CorrectChoice 31.8 m/s\textsuperscript{2}
\choice 36.6 m/s\textsuperscript{2}
\choice 42.1 m/s\textsuperscript{2}
\end{choices} %%% end choices
\question What is the gravitational acceleration on a plant that is 1.94 times more dense than Earth, and a radius that is 2.35 times greater than Earth's?
\begin{choices} %%%%%%% begin choices
\choice 38.9 m/s\textsuperscript{2}
\CorrectChoice 44.7 m/s\textsuperscript{2}
\choice 51.4 m/s\textsuperscript{2}
\choice 59.1 m/s\textsuperscript{2}
\choice 67.9 m/s\textsuperscript{2}
\end{choices} %%% end choices
\question 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?
\begin{choices} %%%%%%% begin choices
\choice 12.7 m/s\textsuperscript{2}
\choice 14.6 m/s\textsuperscript{2}
\choice 16.8 m/s\textsuperscript{2}
\CorrectChoice 19.3 m/s\textsuperscript{2}
\choice 22.2 m/s\textsuperscript{2}
\end{choices} %%% end choices
\question What is the gravitational acceleration on a plant that is 2.98 times more dense than Earth, and a radius that is 1.81 times greater than Earth's?
\begin{choices} %%%%%%% begin choices
\choice 30.2 m/s\textsuperscript{2}
\choice 34.8 m/s\textsuperscript{2}
\choice 40 m/s\textsuperscript{2}
\choice 46 m/s\textsuperscript{2}
\CorrectChoice 52.9 m/s\textsuperscript{2}
\end{choices} %%% end choices
\question 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?
\begin{choices} %%%%%%% begin choices
\CorrectChoice 35.9 m/s\textsuperscript{2}
\choice 41.3 m/s\textsuperscript{2}
\choice 47.5 m/s\textsuperscript{2}
\choice 54.6 m/s\textsuperscript{2}
\choice 62.8 m/s\textsuperscript{2}
\end{choices} %%% end choices
\question 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?
\begin{choices} %%%%%%% begin choices
\CorrectChoice 41.4 m/s\textsuperscript{2}
\choice 47.6 m/s\textsuperscript{2}
\choice 54.7 m/s\textsuperscript{2}
\choice 62.9 m/s\textsuperscript{2}
\choice 72.4 m/s\textsuperscript{2}
\end{choices} %%% end choices
\question 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?
\begin{choices} %%%%%%% begin choices
\choice 19.2 m/s\textsuperscript{2}
\CorrectChoice 22.1 m/s\textsuperscript{2}
\choice 25.4 m/s\textsuperscript{2}
\choice 29.2 m/s\textsuperscript{2}
\choice 33.5 m/s\textsuperscript{2}
\end{choices} %%% end choices
\question 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?
\begin{choices} %%%%%%% begin choices
\CorrectChoice 20.5 m/s\textsuperscript{2}
\choice 23.5 m/s\textsuperscript{2}
\choice 27.1 m/s\textsuperscript{2}
\choice 31.1 m/s\textsuperscript{2}
\choice 35.8 m/s\textsuperscript{2}
\end{choices} %%% end choices
\question What is the gravitational acceleration on a plant that is 2.01 times more dense than Earth, and a radius that is 1.54 times greater than Earth's?
\begin{choices} %%%%%%% begin choices
\choice 26.4 m/s\textsuperscript{2}
\CorrectChoice 30.3 m/s\textsuperscript{2}
\choice 34.9 m/s\textsuperscript{2}
\choice 40.1 m/s\textsuperscript{2}
\choice 46.1 m/s\textsuperscript{2}
\end{choices} %%% end choices
\end{questions}\pagebreak
\section{Attribution}
\theendnotes
\end{document}
```