B M Sharma Solutions for Chapter: Impulse and Collision, Exercise 1: CONCEPT APPLICATION EXERCISE

A ball of mass $1 \mathrm{kg}$ 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.

A sphere of mass $\mathrm{m}$ slides with velocity $v$ on a frictionless surface towards a smooth inclined wall as shown in figure. If the collision with the wall is perfectly elastic, find:
(a) the impulse imparted by the wall on the sphere,
(b) the impulse imparted by the floor on the sphere.

Two particles of masses ${\mathrm{m}}_1$ and ${\mathrm{m}}_2$ are connected by a light and inextensible string which passes over a fixed pulley. Initially, the particle ${\mathrm{m}}_1$ moves with a velocity $v_0$ when the string is not taut. Neglecting friction in all contacting surfaces, find the velocities of the particles ${\mathrm{m}}_1$ and ${\mathrm{m}}_2$ just after the string is taut.

A $3.00 \mathrm{kg}$ steel ball strikes the wall with a speed of $10.0 \mathrm{m}/\mathrm{s}$ at an angle of $60°$ with the surface. It bounces off with the same speed and angle. If the ball is in contact with the wall for $0.200 \mathrm{s},$ what is the average force exerted by the wall on the ball?

A machine gun can fire bullets of $50$ grams at a speed of $2000{ \mathrm{ms}}^{-1};$ the man holding the gun can exert an average force of $200 \mathrm{N}$ against the gun. Calculate the maximum number of bullets which he can fire per minute.

A plate of mass $M$ is held at rest by firing bullets from below. Each bullet has a mass $\mathrm{m}.$ velocity $u$ (up) just before hitting and stops after hitting the plate for a moment and falls. Determine the number of bullets striking the plate per unit time.

A particle of mass $1 \mathrm{kg}$ is attached to a string of length $5 \mathrm{m}.$ The string is attached to a fixed point $O.$ It is released from the position as shown in figure. Calculate

(a) the impulse developed in the string when it becomes taut;
(b) the velocity of the particle just after the string becomes taut;
(c) the impulse developed in this string $PQ$ at this instant.