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Energy Dissipation Rate for a Slipping Sphere

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A uniform solid sphere of mass M and radius R is on a rough horizontal surface and has an initial translational velocity v0 and an initial angular velocity ω0. If the coefficient of kinetic friction is μk, what is the rate of mechanical energy dissipation while the sphere slips?

A

μk M g (v0² + R²ω0²)^(1/2)

B

μk M g |v0 - Rω0|

C

μk M g (v0 - Rω0)

D

μk M g v0

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