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A playground merry-go-round has radius 2.50 m and moment of inertia 3000 kg m^2 about a vertical axle through its center, and it turns with negligible friction.

A child applies an 20.5 N force tangentially to the edge of the merry-go-round for 25.0s. If the merry-go-round is initially at rest, what is its angular speed after this 25.0 s interval?

How much work did the child do on the merry-go-round?

What is the average power supplied by the child?

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