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A child weighing 0.80 kg sits on a wheel at a distance of r = 0.625...

A child weighing 0.80 kg sits on a wheel at a distance of r = 0.625 m from the center. The coefficient of static friction between the child and the wheel is 0.725.

1. What force provides the needed centripetal force to keep the child on the wheel as it spins?

2. What is the maximum frequency of the wheel without the child?

3. If the wheel rotates with a period of 4.25 seconds, find the child's centripetal acceleration. What would the friction force be on the child?

4. If child moved closer to the center, would the friction fore increase, decrease or stay the same?

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