after some time, the merry-go-round has reached an angular speed of one revolution every 15 s. the children, who are tired of pushing, have stopped running and are all standing next to it when they decide to then jump on the merry-go-round. treating each child as a point mass at the edge of the merry-go-round, what is the angular velocity of the system after the children jump on? (assume all children have the same mass.)