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A 25 kg boy stands 2.1 m from the center of a frictionless playground merry‐go‐round, which...

A 25 kg boy stands 2.1 m from the center of a frictionless playground merry‐go‐round, which has a moment of inertia of 200 kg m2 and is spinning with one revolution every two seconds. The child moves inward to a radius of 1.5 m.

a) What is the initial angular velocity of the merry‐go‐round?

b) What is the new angular velocity of the merry‐go‐round, after the child moves?

c) By how much did the kinetic energy of the merry‐go‐round increase? Where did this energy come from?

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