Two objects of equal mass and radius—a solid disk and a thin hoop—are each given the…

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

Problem

Two objects of equal mass and radius—a solid disk and a thin hoop—are each given the same initial center-of-mass speed v0v_0 across an identical rough horizontal surface; neither object is initially rotating. When each object reaches the state of pure rolling, which one has lost the greater amount of mechanical energy to thermal energy? Briefly justify your answer.

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