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
• B. 3 m/s
• C. 3.92 m/s
• D. 5 m/s

Answer 1

Answer: (A)

. 14 m/s.

Given,

$m=0.25kg$

$l=1.96m$

$T=25N$

Centrifugal force in the string is given by, $F=\frac{m{v}^2}{l}$

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

$\Rightarrow T=\frac{m{v}^2}{l}\Rightarrow 25=\frac{0.25\times v^2}{1.96}\Rightarrow v=14m/s$.