Question

A ball of mass $0.25kg$ attached to the end of a string of length $1.96m$ 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 ball can be moved?

• A. 14 m/s
• B. 3 m/s
• C. 3.92 m/s
• D. 5 m/s

Answer 1

The correct option is A 14 m/s

At the point of breaking, the tension in the string must be balance the centripetal force on the ball.

Thus $T_{max}=\frac{m{v}_{max}^2}{l}$

$v_{max}=\sqrt{\frac{T_{max}l}{m}}=14m/s$