A merry-go-round is shaped approximately as a disk and has a radius of 2.1m and a mass of 172kg. Starting from rest, a boy applies a force of 58N to the outer edge of the merry-go-round that is directed tangent to its edge.
(a) What is the angular acceleration of the wheel when the foot pedal is used?
(b) The boy pushes the merry-go-round for 5.3s. What is the angular velocity at the end of this time?
(c) How much work was done in accelerating the merry-go-round?
(d) After pushing for 5.3s, the boy lets go and allows the merry-go-round to spin freely at the angular velocity found in part (b)(ignore friction). A girl of mass 35kg, who is initially standing still next to the merry-go-round, steps onto it and rides at the outer edge. What is the new angular velocity of the merry-go-round?