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A playground merry-go-round has radius 2...

A playground merry-go-round has radius `2 m` and moment of inertia `2000 kg m^(2)` about a vertical axle through its center.
(a) A boy applies `50 N` force tangentially to the edge of the merry-go-round for `20 s`. If the merry-go-round is initially at rest, what is its angular speed after `20 s`?
(b) How much work did the boy do on the merry-go-round?
(c) What is the average power supplied by the child?
(d) What is the instantaneous power supplied by the child at `t=20 s`?

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