Question

A ball with a mass of 2 kg is swung in a circular path on a massless rope of length 0.5 m. If the balls speed is 1 m/s, what is the tension in the rope?

Answer 1

Given : $m=2kg$ $r=0.5$ m $v=1$ m/s

Tension in the rope is equal to the centrifugal force acting on the ball.

Thus tension in the rope $T=\frac{m{v}^2}{r}=\frac{2\times 1^2}{0.5}=4$ N