Which of the following statements is true? For objects rolling without slipping,

Question

Which of the following statements is true?

For objects rolling without slipping, the ratio of rotational kinetic energy to translational kinetic energy depends on the distribution of mass but is independent of the total mass.

A uniform ball that rolls without slipping has rotational kinetic energy equal to its translational kinetic energy.    

Consider two identical inclines except the first is frictionless and the second is not. A ball released from rest from the top of each incline slides down the first incline and rolls without slipping down the second incline. Both balls accelerate down the inclines at the same rate.

Explanation / Answer

For objects rolling without slipping, the ratio of rotational kinetic energy to translational kinetic energy depends on the distribution of mass but is independent of the total mass.

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