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A boy of mass 35.2 kg is standing on the edge of a merry-go-round which is at rest.

A boy of mass 35.2 kg is standing on the edge of a merry-go-round which is at rest. The merry-go-round is a flat disk of mass 59.3 kg and radius 2.3m (the moment of inertia of a cylinder is ½ mr^2 ), turning on a frictionless pivot. The boy starts to walk around the edge of the merry-go-round in the clock-wise direction (when viewed from the top). When the boy is moving at 2.4 m/s relative to the merry-go-round:

 a. What is the angular velocity of the merry-go-round in rpm (revolutions per minute)?

 b. How much work has been done on the entire system (boy + merry-go-round)? 

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