Embibe Experts Solutions for Chapter: Centre of Mass, Momentum and Collisions, Exercise 4: Exercise (Conceptual Questions)

A person of mass $m$ is standing on one end of a plank of mass $M$ and length $L$ and floating in water. The person moves from one end to another and stops. The displacement of the plank is -

The centre of mass of a system of particles does not depend on

A stationary particle explodes into two particles of masses $m_1$ and $m_2$ which move in opposite direction with velocity $v_1$ and $v_2$. The ratio of their kinetic energies $E_1/E_2$ is 

A bomb of mass $3.0 \text{kg}$ explodes in air into two pieces of masses $2.0\text{ kg}$ and $1.0 \text{kg}$.The smaller mass goes at a speed of $80 {\text{ms}}^{-1}$. The total energy imparted to the two fragments is

A bullet of mass $m$ is fired from a gun of mass $M$. The recoiling gun compresses a spring of force constant $k$ by a distance $d$. Then the velocity of the bullet is:-

A $5 \mathrm{kg}$ body collides with another stationary body. After the collision, the bodies move in the same direction with one-third of the velocity of the first body. The mass of the second body will be -

A $10 \mathrm{g}$ bullet, moving with a velocity of $500 \mathrm{m} {\mathrm{s}}^{-1}$ enters a stationary piece of ice of mass $10 \mathrm{kg}$ and stops. If the piece of ice is lying on a frictionless plane, then its velocity will be

A particle falls from a height $h$ upon a fixed horizontal plane and rebounds. If $e$ is the coefficient of restitution, the total distance travelled before rebounding has stopped is:-