A thin spherical shell (hollow sphere) of mass and radius must leave the bottom of a…

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

Problem

A thin spherical shell (hollow sphere) of mass 1.8 kg1.8\,\text{kg} and radius 0.12 m0.12\,\text{m} must leave the bottom of a ramp with a linear speed of 4.0 m/s4.0\,\text{m/s}. Assuming it rolls without slipping for the entire distance, determine the minimum vertical height the ramp must provide. (Moment of inertia of a thin spherical shell: I=23MR2I=\tfrac23 MR^{2}.)

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