Two masses, $2m$ and $m$ are connected by an inextensible light string. The string is passing over a light frictionless pulley. The mass $2m$ is resting on a surface and mass $m$ is hanging in the air as shown in the figure. A particle of mass, $m$ strikes the mass, $m$ from below in case $\left(i\right)$ with a velocity $v_0$ and in case $\left(ii\right)$ strikes mass $m$ with a velocity $v_0$ from top and sticks to it.

A ball of mass $1 \mathrm{kg}$ is dropped from a height of $3.2 \mathrm{m}$ on smooth inclined plane. The coefficient of restitution for the collision is $e=1/2.$ The ball's velocity become horizontal after the collision.

A pendulum bob of mass $m$ connected to the end of an ideal string of length $l$ is released from rest from horizontal position as shown in figure. At the lowest point, the bob makes an elastic collision with a stationary block of mass $5 \mathrm{m},$ which is kept on a frictionless surface. Mark out the correct statement(s) for the instant just after the impact.