Center of Mass Momentum and Collision

Assertion : A glass ball dropped on concrete floor can easily get broken compared if it is dropped on wooden floor. Reason : On concrete floor glass ball will take less time to come to rest.

Assertion: There is no loss in energy in elastic collision. Reason : Linear momentum is conserved in elastic collision.

A spacecraft of mass $100 \mathrm{~kg}$ breaks into two when its velocity is $10^4 \mathrm{~m} \mathrm{~s}^{-1}$. After the break, a mass of $10 \mathrm{~kg}$ of the spacecraft is left stationary. The velocity of the…

Body $A$ of mass $4 m$ moving with speed $u$ collides with another body $B$ of mass $2 m$ at rest. The collision is head on and elastic in nature. After the collision the fraction of energy lost by colliding body $A$ is

A gun applies a force $F$ on a bullet which is given by $F=\left(100-0.5 \times 10^5 t\right) \mathrm{N}$. The bullet emerges out with speed $400 \mathrm{~m} \mathrm{~s}^{-1}$. Then find out the impulse exerted till…

Assertion : A rocket works on the principle of conservation of linear momentum. Reason : Higher the velocity, smaller is the pressure and vice-versa.

A bomb moving with velocity $(40 \hat{i}+50 \hat{j}-25 \hat{k}) \mathrm{m} \mathrm{s}^{-1}$ explodes into two pieces of mass ratio $1: 4$. After explosion the smaller piece moves away with velocity $(200 \hat{i}+70…

A rocket is fired vertically from the ground with a resultant vertical acceleration of $10 \mathrm{~m} \mathrm{~s}^{-2}$. The fuel is finished in $1 \mathrm{~min}$ and it continues to move up. What is the maximum height…

Centre of mass of a uniform ring of radius $R$ will be at a position

Assertion : A particle strikes head-on with another stationary particle such that the first particle comes to rest after collision. The collision should necessarily be elastic. Reason : In elastic collision, there is a…

Assertion : A rigid body can be elastic. Reason : If a force is applied on the rigid body, its dimensions may change.

A ball impinges directly on a similar ball at rest. The first ball is brought to rest by the impact. If half of the kinetic energy is lost by impact, the value of coefficient of restitution is