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A spherical object with a moment of inertia of 0.576mr 2 starts from rest rollin

ID: 2094057 • Letter: A

Question

A spherical object with a moment of inertia of 0.576mr2starts from rest rolling down a 3.04-m high incline. If the sphere is rolling without slipping, what is its linear speed at the bottom of the incline?(Answer with at least three significant figures.)
A spherical object with a moment of inertia of 0.576mr2starts from rest rolling down a 3.04-m high incline. If the sphere is rolling without slipping, what is its linear speed at the bottom of the incline?(Answer with at least three significant figures.)

Explanation / Answer

0.5*Iw^2+0.5*mv^2=mgh

since v=w*r


==>0.5*1.567 v^2=g*h


==> v=6.16 m/s

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