AP Physics 1 Moment of Inertia and Rotational Energy

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?

• 3.87

• 7.74

• 0.085

• 0.0062

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NGSS.HS-PS3-1

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 total kinetic energy in joules?

• about 9 J

• about 5.5 J

• about 13 J

Tags

NGSS.HS-PS3-1

Which equation defines kinetic energy?

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NGSS.HS-PS3-2

Which equation defines the relationship between linear velocity and angular velocity?

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Which equation defines rotational kinetic energy?

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A bowling ball has a mass of 7.00 kg, a moment of inertia of 2.80 × 10⁻² kg·m², and a radius of 0.100 m. If it rolls down the lane without slipping at an angular speed of 4.00 rad/s, what is its rotational kinetic energy?

• 0.280 J

• 0.448 J

• 0.224 J

• 11.2 J

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NGSS.HS-PS3-2

A bowling ball has a mass of 7.00 kg, a moment of inertia of 2.80 × 10⁻² kg·m², and a radius of 0.100 m. If it rolls down the lane without slipping at an angular speed of 4.00 rad/s, what is its translational (linear) kinetic energy?

• 1.40 J

• 2.80 J

• 56.0 J

• 0.560 J

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NGSS.HS-PS3-2

NGSS.HS-PS3-1

Which forms of energy are present for objects rolling down an incline?

• Gravitational potential energy

• Elastic potential energy

• Kinetic energy

• Rotational kinetic energy

Because a hollow ball has a higher moment of inertia than a solid ball...

• The solid ball rolls faster
• The solid ball weighs more.
• The solid ball weighs less.
• They both accelerate at the same rate.

If a ball slides down a frictionless ramp

• it goes slower than if it had rolled down

• it moves faster than if it had rolled down.

• It doesn't make a difference about friction or not friction.

• Friction slows it down.

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NGSS.HS-PS2-1