# Physics equations/06-Uniform Circular Motion and Gravitation/Q:friction/Testbank

## a06uniformCircMotGravitation_friction_v1

A merry-go-round has an angular frequency, ${\displaystyle \omega }$, equal to 0.15 rad/sec. How many minutes does it take to complete 8.5 revolutions?

 a) 4.49 minutes. b) 5.16 minutes. c) 5.93 minutes. d) 6.82 minutes. e) 7.85 minutes.

copies
===2===
{<!--a06uniformCircMotGravitation_friction_1-->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? }
-a) 3.87 minutes.
-b) 4.45 minutes.
+c) 5.12 minutes.
-d) 5.88 minutes.
-e) 6.77 minutes.
===3===
{<!--a06uniformCircMotGravitation_friction_1-->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? }
-a) 5.93 minutes.
+b) 6.82 minutes.
-c) 7.84 minutes.
-d) 9.02 minutes.
-e) 10.37 minutes.
===4===
{<!--a06uniformCircMotGravitation_friction_1-->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.
===5===
{<!--a06uniformCircMotGravitation_friction_1-->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? }
-a) 2.66 minutes.
-b) 3.06 minutes.
-c) 3.52 minutes.
+d) 4.05 minutes.
-e) 4.66 minutes.
===6===
{<!--a06uniformCircMotGravitation_friction_1-->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.
===7===
{<!--a06uniformCircMotGravitation_friction_1-->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.
===8===
{<!--a06uniformCircMotGravitation_friction_1-->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.
===9===
{<!--a06uniformCircMotGravitation_friction_1-->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? }
-a) 5.77 minutes.
+b) 6.63 minutes.
-c) 7.63 minutes.
-d) 8.77 minutes.
-e) 10.09 minutes.
===10===
{<!--a06uniformCircMotGravitation_friction_1-->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.
===11===
{<!--a06uniformCircMotGravitation_friction_1-->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? }
-a) 4.83 minutes.
+b) 5.55 minutes.
-c) 6.39 minutes.
-d) 7.34 minutes.
-e) 8.45 minutes.


## a06uniformCircMotGravitation_friction_v1

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?

 a) 26.2 newtons. b) 30.2 newtons. c) 34.7 newtons. d) 39.9 newtons. e) 45.9 newtons.

copies
===2===
{<!--a06uniformCircMotGravitation_friction_2-->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?}
-a) 16.6 newtons.
+b) 19.1 newtons.
-c) 22 newtons.
-d) 25.3 newtons.
-e) 29.1 newtons.
===3===
{<!--a06uniformCircMotGravitation_friction_2-->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?}
+a) 9.4 newtons.
-b) 10.8 newtons.
-c) 12.4 newtons.
-d) 14.3 newtons.
-e) 16.4 newtons.
===4===
{<!--a06uniformCircMotGravitation_friction_2-->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?}
-a) 6.1 newtons.
-b) 7 newtons.
-c) 8 newtons.
-d) 9.2 newtons.
+e) 10.6 newtons.
===5===
{<!--a06uniformCircMotGravitation_friction_2-->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.
===6===
{<!--a06uniformCircMotGravitation_friction_2-->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?}
-a) 8.6 newtons.
-b) 9.9 newtons.
-c) 11.4 newtons.
-d) 13.1 newtons.
+e) 15.1 newtons.
===7===
{<!--a06uniformCircMotGravitation_friction_2-->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.
===8===
{<!--a06uniformCircMotGravitation_friction_2-->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.
===9===
{<!--a06uniformCircMotGravitation_friction_2-->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.
===10===
{<!--a06uniformCircMotGravitation_friction_2-->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?}
-a) 12.1 newtons.
-b) 13.9 newtons.
-c) 16 newtons.
+d) 18.4 newtons.
-e) 21.1 newtons.
===11===
{<!--a06uniformCircMotGravitation_friction_2-->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?}
-a) 4.4 newtons.
-b) 5.1 newtons.
-c) 5.9 newtons.
+d) 6.8 newtons.
-e) 7.8 newtons.


## a06uniformCircMotGravitation_friction_v1

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?

 a) 0.033 b) 0.038 c) 0.044 d) 0.05 e) 0.058

copies
===2===
{<!--a06uniformCircMotGravitation_friction_3-->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?}
-a) 0.019
+b) 0.022
-c) 0.025
-d) 0.029
-e) 0.033
===3===
{<!--a06uniformCircMotGravitation_friction_3-->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
===4===
{<!--a06uniformCircMotGravitation_friction_3-->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
===5===
{<!--a06uniformCircMotGravitation_friction_3-->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?}
+a) 0.019
-b) 0.022
-c) 0.025
-d) 0.029
-e) 0.033
===6===
{<!--a06uniformCircMotGravitation_friction_3-->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?}
-a) 0.017
-b) 0.02
-c) 0.023
-d) 0.026
+e) 0.03
===7===
{<!--a06uniformCircMotGravitation_friction_3-->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
===8===
{<!--a06uniformCircMotGravitation_friction_3-->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
===9===
{<!--a06uniformCircMotGravitation_friction_3-->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
===10===
{<!--a06uniformCircMotGravitation_friction_3-->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?}
-a) 0.017
-b) 0.019
-c) 0.022
+d) 0.025
-e) 0.029
===11===
{<!--a06uniformCircMotGravitation_friction_3-->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


## a06uniformCircMotGravitation_friction_v1

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?

 a) 10.1 m/s2 b) 11.6 m/s2 c) 13.3 m/s2 d) 15.3 m/s2 e) 17.6 m/s2

copies
===2===
{<!--a06uniformCircMotGravitation_friction_4-->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?}
-a) 5.7 m/s<sup>2</sup>
-b) 6.5 m/s<sup>2</sup>
-c) 7.5 m/s<sup>2</sup>
+d) 8.6 m/s<sup>2</sup>
-e) 9.9 m/s<sup>2</sup>
===3===
{<!--a06uniformCircMotGravitation_friction_4-->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/s<sup>2</sup>
-b) 11.8 m/s<sup>2</sup>
-c) 13.6 m/s<sup>2</sup>
-d) 15.6 m/s<sup>2</sup>
-e) 18 m/s<sup>2</sup>
===4===
{<!--a06uniformCircMotGravitation_friction_4-->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/s<sup>2</sup>
-b) 5.4 m/s<sup>2</sup>
-c) 6.2 m/s<sup>2</sup>
-d) 7.2 m/s<sup>2</sup>
+e) 8.3 m/s<sup>2</sup>
===5===
{<!--a06uniformCircMotGravitation_friction_4-->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/s<sup>2</sup>
+b) 9.4 m/s<sup>2</sup>
-c) 10.8 m/s<sup>2</sup>
-d) 12.5 m/s<sup>2</sup>
-e) 14.3 m/s<sup>2</sup>
===6===
{<!--a06uniformCircMotGravitation_friction_4-->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?}
+a) 8.3 m/s<sup>2</sup>
-b) 9.5 m/s<sup>2</sup>
-c) 11 m/s<sup>2</sup>
-d) 12.6 m/s<sup>2</sup>
-e) 14.5 m/s<sup>2</sup>
===7===
{<!--a06uniformCircMotGravitation_friction_4-->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/s<sup>2</sup>
-b) 5.4 m/s<sup>2</sup>
+c) 6.2 m/s<sup>2</sup>
-d) 7.2 m/s<sup>2</sup>
-e) 8.3 m/s<sup>2</sup>
===8===
{<!--a06uniformCircMotGravitation_friction_4-->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/s<sup>2</sup>
-b) 5.5 m/s<sup>2</sup>
-c) 6.4 m/s<sup>2</sup>
+d) 7.3 m/s<sup>2</sup>
-e) 8.4 m/s<sup>2</sup>
===9===
{<!--a06uniformCircMotGravitation_friction_4-->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/s<sup>2</sup>
-b) 9.2 m/s<sup>2</sup>
-c) 10.6 m/s<sup>2</sup>
+d) 12.2 m/s<sup>2</sup>
-e) 14 m/s<sup>2</sup>
===10===
{<!--a06uniformCircMotGravitation_friction_4-->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?}
-a) 2.4 m/s<sup>2</sup>
-b) 2.8 m/s<sup>2</sup>
-c) 3.2 m/s<sup>2</sup>
+d) 3.7 m/s<sup>2</sup>
-e) 4.3 m/s<sup>2</sup>
===11===
{<!--a06uniformCircMotGravitation_friction_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/s<sup>2</sup>
-b) 4.7 m/s<sup>2</sup>
-c) 5.4 m/s<sup>2</sup>
-d) 6.2 m/s<sup>2</sup>
+e) 7.2 m/s<sup>2</sup>


## a06uniformCircMotGravitation_friction_v1

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?

 a) 58.6 m/s2 b) 67.4 m/s2 c) 77.5 m/s2 d) 89.1 m/s2 e) 102.5 m/s2

copies
===2===
{<!--a06uniformCircMotGravitation_friction_5-->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?}
+a) 40.5 m/s<sup>2</sup>
-b) 46.6 m/s<sup>2</sup>
-c) 53.6 m/s<sup>2</sup>
-d) 61.6 m/s<sup>2</sup>
-e) 70.9 m/s<sup>2</sup>
===3===
{<!--a06uniformCircMotGravitation_friction_5-->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/s<sup>2</sup>
-b) 27.7 m/s<sup>2</sup>
+c) 31.8 m/s<sup>2</sup>
-d) 36.6 m/s<sup>2</sup>
-e) 42.1 m/s<sup>2</sup>
===4===
{<!--a06uniformCircMotGravitation_friction_5-->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?}
-a) 38.9 m/s<sup>2</sup>
+b) 44.7 m/s<sup>2</sup>
-c) 51.4 m/s<sup>2</sup>
-d) 59.1 m/s<sup>2</sup>
-e) 67.9 m/s<sup>2</sup>
===5===
{<!--a06uniformCircMotGravitation_friction_5-->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/s<sup>2</sup>
-b) 14.6 m/s<sup>2</sup>
-c) 16.8 m/s<sup>2</sup>
+d) 19.3 m/s<sup>2</sup>
-e) 22.2 m/s<sup>2</sup>
===6===
{<!--a06uniformCircMotGravitation_friction_5-->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?}
-a) 30.2 m/s<sup>2</sup>
-b) 34.8 m/s<sup>2</sup>
-c) 40 m/s<sup>2</sup>
-d) 46 m/s<sup>2</sup>
+e) 52.9 m/s<sup>2</sup>
===7===
{<!--a06uniformCircMotGravitation_friction_5-->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/s<sup>2</sup>
-b) 41.3 m/s<sup>2</sup>
-c) 47.5 m/s<sup>2</sup>
-d) 54.6 m/s<sup>2</sup>
-e) 62.8 m/s<sup>2</sup>
===8===
{<!--a06uniformCircMotGravitation_friction_5-->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/s<sup>2</sup>
-b) 47.6 m/s<sup>2</sup>
-c) 54.7 m/s<sup>2</sup>
-d) 62.9 m/s<sup>2</sup>
-e) 72.4 m/s<sup>2</sup>
===9===
{<!--a06uniformCircMotGravitation_friction_5-->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/s<sup>2</sup>
+b) 22.1 m/s<sup>2</sup>
-c) 25.4 m/s<sup>2</sup>
-d) 29.2 m/s<sup>2</sup>
-e) 33.5 m/s<sup>2</sup>
===10===
{<!--a06uniformCircMotGravitation_friction_5-->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/s<sup>2</sup>
-b) 23.5 m/s<sup>2</sup>
-c) 27.1 m/s<sup>2</sup>
-d) 31.1 m/s<sup>2</sup>
-e) 35.8 m/s<sup>2</sup>
===11===
{<!--a06uniformCircMotGravitation_friction_5-->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?}
-a) 26.4 m/s<sup>2</sup>
+b) 30.3 m/s<sup>2</sup>
-c) 34.9 m/s<sup>2</sup>
-d) 40.1 m/s<sup>2</sup>
-e) 46.1 m/s<sup>2</sup>