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Question

A ball of mass 0.25 kg attached to the end of a string of length 1.96 m is moving in a horizontal circle. The string will break if the tension is more than 25 N. What is the maximum speed with which the ball can be moved

A

14 m/s

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B

3 m/s

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C

3.92 m/s

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D

5 m/s

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Solution

The correct option is B. 14 m/s.

Given,

m=0.25 kg

l=1.96 m

T=25 N

Centrifugal force in the string is given by, F=mv2l

The necessary centripetal force in the string is provided by the tension (T) in the string.

T=mv2l25=0.25×v21.96v=14 m/s.


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