A solid sphere of mass is released from rest at the top of an incline above the floor…

PHYSICS · Subjective · AP · Physics 1: Algebra-based · Energy and Momentum of Rotating Systems · Energy and Momentum of Rotating Systems

Problem

A solid sphere of mass 0.50 kg0.50\,\text{kg} is released from rest at the top of an incline 1.2 m1.2\,\text{m} above the floor and rolls without slipping to the bottom. Calculate the fraction of the sphere’s total kinetic energy that is rotational when it reaches the bottom. (Moment of inertia of a solid sphere: I=25MR2I=\tfrac25 MR^{2}.)

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