A playground merry-go-round has radius 2.20m and moment of inertia 2800 kg*m^2 about a vertical axle through its center, and it turns with negligible friction. A child applies an 23.0 N force tangentially to the edge of the merry-go-round for 25.0 s . 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?