Question

A ball of mass $1kg$ is attached to an inextensible string. The ball is released from the position shown in figure. Find the impulse imparted by the string to the ball immediately after the string becomes taut (Take g=$10m/s^2)$

Answer 1

String will become taught when the ball will fall by 2m .

Velocity after falling by 2m = $\sqrt{2gh}$=$\sqrt{4g}=2\sqrt{g}$

So impulse imparted by string = mv= 2$\sqrt{g}N.s$