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AP Physics B : Understanding Circular Motion

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Example Questions

Example Question #3 : Ap Physics 1

A ball of mass 1kg on a string is rotating about the center axis with a velocity $3\frac{m}{s}$ . If the tension force in the string is 15N , what is the radius of the circular path of the ball?

Possible Answers:

0.2m

0.8m

0.6m

0.4m

1.0m

Correct answer:

0.6m

Explanation:

We use the equation for centripetal force to find the radius:

$F_c=\frac{mv^2}{r}$

Since the string ties the ball to the axis, the force of tension will be equal to the centripetal force.

$F_T=15N=\frac{mv^2}{r}$

Use the given mass and velocity to solve for the radius.

$15N=\frac{(1kg)(3\frac{m}{s})^2}{r}$

$r=\frac{9\frac{m^2kg}{s^2}}{15N}=0.6m$

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Example Question #31 : Newtonian Mechanics

A yo-yo trick called Around the World involves swinging the yo-yo around in a vertical circle at the end of its string. A man performs this trick with a 0.25kg yo-yo traveling at $12\frac{m}{s}$ . If the length of the full string is 0.8m , what is the centripetal force on the yo-yo?

Possible Answers:

144N

3.75 N

45N

90N

22.5N

Correct answer:

45N

Explanation:

Centripetal force can be found using the equation:

$F_c = \frac{mv^2}{r}$

In this situation, the radius is the length of the string. We are given the linear velocity and mass, as well as the radius, allowing us to solve for the centripetal force.

$F_c=\frac{(0.25kg)(12\frac{m}{s})^2}{0.8m}$

$F_c=\frac{36\frac{m^2kg}{s^2}}{0.8m}=45N$

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Example Question #1 : Centripetal Force And Acceleration

A 25kg boy is riding a merry-go-round with a radius of 5 m . What is the centripetal force on the boy if his velocity is $6 \frac{m}{s}$ ?

Possible Answers:

180N

120N

245N

150N

196N

Correct answer:

180N

Explanation:

For this problem, we use the centripetal force equation:

$F_{c}=\frac{mv^2}{r}$

We are given the mass, radius or rotation, and the linear velocity. Using these values, we can find the centripetal force.

$F_{c}=\frac{(25kg)*(6\frac{m}{s})^2}{(5m)}$

$F_c=\frac{900\frac{kg\cdot m^2}{s^2}}{5m}$

F_c=180N

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AP Physics B : Understanding Circular Motion

Study concepts, example questions & explanations for AP Physics B

All AP Physics B Resources

Example Questions

Example Question #3 : Ap Physics 1

Example Question #31 : Newtonian Mechanics

Example Question #1 : Centripetal Force And Acceleration

All AP Physics B Resources

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