What is the solution to the merry-go-round physics problem?

The solution to the merry-go-round physics problem involves understanding centripetal force and acceleration. The centripetal force required to keep an object moving in a circular path on a merry-go-round is provided by friction between the object and the surface of the merry-go-round. This force is directed towards the center of the circle and is equal to the mass of the object times its centripetal acceleration. By calculating the centripetal force and acceleration, one can determine the speed at which the object is moving on the merry-go-round.