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A playground merry-go-round of radius R = 1.89m has a moment of inertia of I =...

A playground merry-go-round of radius R = 1.89m has a moment of inertia of I = 271kgm^2 and is rotating at 10.3rev/min about a frictionless vertical axle. Facing the axle, a 29.6kg child hops onto the merry-go-round and manages to sit down on its edge. a) What is the new angular speed (in revolutions per minute) of the merry-go-round? b) How much work was done by the child?

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