A uniform solid sphere of radius is moving across a rough horizontal surface

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

Problem

A uniform solid sphere of radius 0.10 m0.10\,\text{m} is moving across a rough horizontal surface. At one instant its translational speed is 3.0 m ⁣⋅ ⁣s−13.0\,\text{m}\!\cdot\!\text{s}^{-1} while its angular speed is 10 rad ⁣⋅ ⁣s−110\,\text{rad}\!\cdot\!\text{s}^{-1}. At that instant: • Is the sphere rolling without slipping? • Which type of friction—static or kinetic—is acting on the sphere? Justify both answers briefly.

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