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Question

A ball of mass 0.25 kg attached to the ends of a strings of length 1.96 m is rotating in a horizontal circle. The string will break, if tension is more than 25 N. What is the maximum velocity with which the ball can be rotated?

A
3 m/s
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B
5 m/s
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C
9 m/s
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D
14 m/s
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Solution

The correct option is D 14 m/s
Centrifugal force in the string is given by
F=mv2r
v2=Frm
v2=25×1.960.25=196
v=196=14m/s

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