A thin hoop and a solid cylinder

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

Problem

A thin hoop and a solid cylinder, each of mass 2.0 kg2.0\,\text{kg} and radius 0.10 m0.10\,\text{m}, start from rest and roll without slipping down the same rough incline. After each object has moved 2.0 m2.0\,\text{m} along the incline, which object has the greater translational speed? State your answer and support it with one brief quantitative or qualitative justification.

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