A body of mass $m$ moving with a constant velocity $v$ hits another body of the same mass moving with the same velocity $v$ but in the opposite direction and sticks to it. The velocity of the compound body after collision is

In a one-dimensional collision between two particles, their relative velocity is ${\vec v_1}$ before the collision and ${\vec v_2}$ after the collision

What percentage of kinetic energy of a moving particle is transferred to a stationary particle when it strikes the stationary particle of $5$ times its mass? (Assume the collision to be head-on elastic collision)

A projectile of mass $3m$ is moving at $40\, m/s$ at is highest point, where it breaks into two parts $m$ and $2m$. Mass $2m$ moves vertically up at $25\, m/s$. The other part will move at speed  .................... $\mathrm{m}/ \mathrm{s}$

A tennis ball is released from height $h $ above ground level. If the ball makes inelastic collision with the ground, to what height will it rise after third collision

An object of mass $M$ is at rest on smooth horizontal surface. Objects of different masses collide head on elastically to the object of mass $M$ . All colliding objects are having fixed same kinetic energy and in each case mass $M$ is supposed to be at rest initially. In this experiment the kinetic energy transferred to stationary mass $(M)$ depend on linear momentum of incoming colliding mass then energy transferred to $M$ in a collision is