rotational kinetic energy summary

Which equation defines rotational kinetic energy?

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Which equation defines kinetic energy in general?

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

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

• Gravitational potential energy

• Elastic potential energy

• Translational Kinetic energy

• Rotational kinetic 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 total kinetic energy in joules?

• about 9 J

• about 5.5 J

• about 13 J

Three homogeneous ridged bodies -- a solid shere, a solid cylinder, and a hollow cylinder -- are placed at the top of an incline. If all are released from rest at the same elevation and roll without slipping, which reaches the bottom first?

• The solid sphere.

• The solid cylinder.

• The hollow cylinder.

• They will all arrive at the same time.

You roll a solid sphere of mass m and radius r (I = 2/5mr2) down a ramp from a height of h, if it starts at rest what is its linear speed at the bottom?

• √1.4gh)

• √2gh)

• √3.5gh)

• √5gh)