A 50.0 kg child stands at the rim of a merry-go-round of radius 1.70 m, rotating with an angular speed of 2.60 rad/s. (a) What is the child's centripetal acceleration? (b) What is the minimum force between her feet and the floor of the merry-go-round that is required to keep her in the circular path? (c) What minimum coefficient of static friction is required?