Embibe Experts Solutions for Chapter: Centre of Mass, Momentum and Collisions, Exercise 1: KCET (UG) 2019

In figure $E$ and $V_{\mathrm{cm}}$ represent the total energy and speed of centre of mass of an object of mass $1 \mathrm{kg}$ in pure rolling. The object is:

Two particles which are initially at rest move towards each other under the action of their mutual attraction. If their speeds are $v$ and $2v$ at any instant, then the speed of center of mass of the system is,

Two particles of masses $m_1$ and $m_2$ have equal kinetic energies. The ratio of their momentum is:

A ball hits the floor and rebounds after an inelastic collision. In this case

During inelastic collision between two objects, which of the following quantity always remains conserved?

A $1 \mathrm{kg}$ ball moving at $12{ \mathrm{m} \mathrm{s}}^{-1}$ collides with a $2 \mathrm{kg}$ ball moving in opposite direction at $24{ \mathrm{m} \mathrm{s}}^{-1}.$ If the coefficient of restitution is $\frac{2}{3}$, the their velocities after the collision are