B M Sharma Solutions for Chapter: Impulse and Collision, Exercise 2: CONCEPT APPLICATION EXERCISE

Which one of the following statements is correct with reference to elastic collision between two bodies?

During collision between a closed system of particles, in the absence of external forces:

If two balls collide in air while moving vertically, then linear momentum of the system is conserved because

In an inelastic collision,

A ball rolls with a velocity $v$ on a smooth horizontal floor. If $e=$ coefficient of restitution, find the average speed of the ball for to and fro journey.

A ball is projected from the ground at some angle with horizontal. Coefficient of restitution between the ball and the ground is $e.$ Let $a, b$ and $c$ be the ratio of times of flight, horizontal range and maximum height in two successive paths. Find $a, b$ and $c$ in terms of $e.$

$A$ is a fixed point a height $H$ above a perfectly inelastic smooth horizontal plane. A light inextensible string of length $L\left(>H\right)$ has one end attached to $A$ and other to a heavy particle. The particle is held at the level of $A$ with string just taut and released from rest. Find the height of the particle above the plane when it is next instantaneously at rest.

A small ball rolls off the top landing of a staircase. It strikes the mid-point of the first step and then mid-point of the second step. The steps are smooth and identical in height and width. Find the coefficient of restitution between the ball and the first step.