A 500 kg child stands at the rim of a merry-go-round of, Physics

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A 500 kg child stands at the rim of a merry-go-round of

A 50.0 kg child stands at the rim of a merry-go-round of radius 1.65 m, rotating by an angular speed of 2.50 rad/s.

a) What is the child's centripetal acceleration?

b) What minimum coefficient of static friction is needed?

c) What is the minimum force among her feet and the floor of the carousel that is required to keep her in the circular path?

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