Free Printable Rotational Energy

1.

A child kicks a ball which rolls across a field with a velocity of 5 m/s. You may assume the ball doesn’t slip, and treat it as a hollow sphere of mass 0.43 kg and radius 0.11 meter.

What is the ball's moment of inertia in kg*m²?

a)

0.0035

b)

0.0052

c)

0.00099

2.

A child kicks a ball which rolls across a field with a velocity of 5 m/s. You may assume the ball doesn’t slip, and treat it as a hollow sphere of mass 0.43 kg and radius 0.11 meter.

What is the ball’s rotational velocity?

a)

45.5 rad/s

b)

0.047 rad/s

c)

413 rad/s

d)

0.0605 rad/s

3.

A child kicks a ball which rolls across a field with a velocity of 5 m/s. You may assume the ball doesn’t slip, and treat it as a hollow sphere of mass 0.43 kg and radius 0.11 meter.

What is the ball’s translational kinetic energy in joules?

(a)

4.

A child kicks a ball which rolls across a field with a velocity of 5 m/s. You may assume the ball doesn’t slip, and treat it as a hollow sphere of mass 0.43 kg and radius 0.11 meter.

What is the ball’s rotational kinetic energy in joules?

a)

3.87

b)

7.74

c)

0.085

d)

0.0062

5.

A child kicks a ball which rolls across a field with a velocity of 5 m/s. You may assume the ball doesn’t slip, and treat it as a hollow sphere of mass 0.43 kg and radius 0.11 meter.

What is the ball's total kinetic energy in joules?

a)

about 9 J

b)

about 5.5 J

c)

about 13 J

6.

A given force is applied to a wrench to turn a bolt of specific rotational inertia I which rotates freely about its center.

Which of the following has the greatest angular acceleration?

a)

F

b)

A

c)

B

d)

E

e)

C

7.

A given force is applied to a wrench to turn a bolt of specific rotational inertia I which rotates freely about its center.

Which of the following has the greatest torque? Select all that apply.

a)

E

b)

B

c)

C

d)

D

e)

F

8.

A given force is applied to a wrench to turn a bolt of specific rotational inertia I which rotates freely about its center.

Which of the following has the least torque? Select all that apply.

a)

A

b)

E

c)

C

d)

D

e)

F

9.

$I=\frac{2}{5}mr^2$

A bowling ball of mass M and radius R rolls without
slipping along a level surface at speed v. The maximum vertical height to which it can roll if it ascends an
incline is

a)

$\frac{v^2}{5g}$

b)

$\frac{2v^2}{5g}$

c)

$\frac{v^2}{2g}$

d)

$\frac{7v^2}{10g}$

e)

$\frac{v^2}{g}$

10.

A sphere of mass M, radius r, and rotational inertia I is released from rest at the top of an inclined plane of height h.

If the plane is frictionless, what is the speed of the center of mass of the sphere at the bottom of the incline?

a)

$\sqrt{2gh}$

b)

$\frac{2Mgh}{I}$

c)

$\frac{2Mghr^2}{I}$

d)

$\sqrt{\frac{2Mghr^2}{I}}$

e)

$\sqrt{\frac{2Mghr^2}{I+Mr^2}}$

11.

A sphere of mass M, radius r, and rotational inertia I is released from rest at the top of an inclined plane of height h.

If the plane has frictionless, what is the speed of the center of mass of the sphere at the bottom of the incline?

a)

$\sqrt{2gh}$

b)

$\frac{2Mgh}{I}$

c)

$\frac{2Mghr^2}{I}$

d)

$\sqrt{\frac{2Mghr^2}{I}}$

e)

$\sqrt{\frac{2Mghr^2}{I+Mr^2}}$

12.

A wheel with rotational inertia I is mounted on a fixed, frictionless axle. The angular speed $\omega$ of the wheel is
increased from zero to $\omega_f$ in a time interval T.

What is the average power during this time interval?

a)

$\frac{I\omega_f}{2T}$

b)

$\frac{I\omega_f^2}{2T}$

c)

$\frac{I\omega_f^2}{2T^2}$

d)

$\frac{I^2\omega_f}{2T^2}$

e)

$\frac{I^2\omega_f^2}{2T^2}$

Rotational Energy

Total questions: 12

Worksheet time: 24mins

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