A 33.0 kg child is riding a playground merry-go-round. If the child is 2.50 m from the center of the merry-go-round and has a constant tangential speed of 4.00 m/s. What is the magnitude of the centripetal force that is necessary to keep her on the merry-go-round at this radius?

211.2 N

Explanation:

Data provided in the question:  

Mass of child, m = 33.0 kg  

Distance from the center, r = 2.50 m

Tangential speed, v = 4.00 m/s    

Now,  

Magnitude of the centripetal force,

Thus, on putting the values, we get

Magnitude of the centripetal force,

or  

Magnitude of the centripetal force, = 211.2 N

Explanation:

Given:

Now from the given data we find the centrifugal force acting on the child mass:

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