Embibe Experts Solutions for Chapter: Centre of Mass, Momentum and Collisions, Exercise 1: Exercise 1

A particle of mass $m$ initially at rest, is acted upon by a variable force $F$ for a brief interval of time $T.$ It attains a velocity $u$ after the force stops acting. $F$ is shown in the graph as a function of time. The curve is a semicircle, find $u.$

A bullet of $4 \mathrm{g}$ mass is fired from a gun of mass $4 \mathrm{kg}.$ If the bullet moves with the muzzle speed of $50{ \mathrm{ms}}^1,$ the impulse imparted to the gun and velocity of recoil of gun are 

Two billiard balls of equal mass $30 \mathrm{g}$ strike a rigid wall with same speed of $108 \mathrm{km} {\mathrm{h}}^{-1}$ (as shown) but at different angles. If the balls get reflected with the same speed, then the ratio of the magnitude of impulses imparted to ball $a$ and ball $b$ by the wall along $X$ direction is:

If a shell fired from a canon is exploded in air then-

For a two particle collision, the following quantities are conserved in general-

A glass ball A of mass $50 \mathrm{g}$ moving with a velocity of $3 \mathrm{m} {\mathrm{s}}^{-1}$ along $x$-axis hits another ball $B$ of mass $50 \mathrm{g}$ which is initially at rest (consider the collision as a perfect elastic collision). The velocities of the two balls after collision are

Read the passage and answer the following question:

In all types of collision, the linear momentum is conserved but kinetic energy is not conserved in inelastic collision. Two bodies of equal masses interchange their velocities after elastic collision. If after collision, two bodies stick together and move as one body with same velocity, the collision is called inelastic collision.

In elastic collision