H C Verma Solutions for Chapter: Centre of Mass, Linear Momentum, Collision, Exercise 2: OBJECTIVE I

A ball kept in a closed box moves in the box making collisions with the walls. The box is kept on a smooth surface. The velocity of the centre of mass

A body at rest breaks in to two pieces of equal masses. The parts will move

A heavy ring of mass $m$ is clamped on the periphery of a light circular disc. A small particle having equal mass is clamped at the centre of the disc. The system is rotated in such a way that the centre moves in a circle of the radius $r$ with a uniform speed $v$. We conclude that an external force

The quantities remaining constant in a collision are

A nucleus moving with a velocity $\overrightarrow{v}$ emits a $\mathrm{\alpha }‐$particle. Let the velocities of the $\mathrm{\alpha }‐$particle and the remaining nucleus are ${\overrightarrow{v}}_1$ and ${\overrightarrow{v}}_2$ and their masses be $m_1$ and $m_2$, then

A shell is fired from a cannon with a velocity $V$ at an angle $\mathrm{\theta }$ with the horizontal direction. At the highest point in its path, it explodes into two pieces of equal masses. One of the pieces retraces its path to the cannon. The speed of the other piece immediately after the explosion is

In an elastic collision

In an inelastic collision