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A child riding a merry-go-round feels a centripetal force. How would the magnitude of the acceleration...

A child riding a merry-go-round feels a centripetal force. How would the magnitude of the acceleration change if the velocity doubled (2x)?
A. decrease to one quarter (¼ x)
B. decrease to one half (½ x)
C. double (2x)
D. quadruple (4x)

Answer

D. quadruple (4x)

The centripetal acceleration is given by the formula a = v²/r, where v is the velocity and r is the radius. If the velocity doubles, the acceleration becomes (2v)²/r = 4v²/r, which is four times the original acceleration.

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