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A playground merry-go-round has a radius of 4.40 m and a moment of inertia of 255 kg*m^2 and turns with negligible friction about a vertical axle through its center.

A. A child applies a 20.0 N force tangentially to the edge of the merry-go-round for 18.0s . If the merry-go-round is initially at rest, what is its angular velocity after this 18.0 s interval?

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

C. What is the average power supplied by the child?

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