A thin hoop of mass and radius is launched along a horizontal surface at with no…

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

Problem

A thin hoop of mass 0.50 kg0.50\,\text{kg} and radius 0.10 m0.10\,\text{m} is launched along a horizontal surface at 4.0 m/s4.0\,\text{m/s} with no initial rotation. The coefficient of kinetic friction between the hoop and the surface is 0.200.20. After some time the hoop rolls without slipping. Determine the amount of mechanical energy that has been converted into thermal energy by the time pure rolling is achieved. Express your answer in joules.

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