24. A girl of mass 50.6. kg stands on the edge of a frictionless merry-go-round of mass 827 kg and radius 3.72 m that is not moving.
She throws a l.13-kg rock in a horizontal direction that is tangent to the outer edge of the merry-go-round.
The speed of the rock, relative to the ground, is 7.82 m/s. Calculate
(a) the angular speed of the merry-go-round and
(b) the linear speed of the girl after the rock is thrown. Assume that the merry-go-round is a uniform disk.