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# Physics: A child sits on a rotating merry-go-round

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A child sits on a rotating merry-go-round, 2.1 meters from its center. If the speed of the child is 1.0 m/s, what is the minimum coefficient of static friction between the child and the merry go round that will prevent the child from slipping.

##### Solution Summary

A child sitting on a rotating merry-go-round is examined using physics. The minimum coefficient of static friction between the child and the merry go round is determined. The solution shows the formulas, calculations and explanations in solving the problem.

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The centripetal force that is acting on the child is given by the equation:

F = m*(v^2)/r

m is the mass of the child (unknown)
v is the velocity of the child (1.0 m/s)
r is the distance of the child from the center of rotation (the radius, 2.1 m)

The force of friction is given by the equation:

F = mu*N

mu is the ...

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