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
14 m/s
3 m/s
3.92 m/s
5 m/s
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=mv2l⇒25=0.25×v21.96⇒v=14 m/s.