Two smooth objects with a coefficient of restitution $e,$ collide directly and bounce as shown. Newton's law of restitution gives
$e \times 4u = v_2 + v_1$
$e \times 2u = v_1 + v_2$
$e \times 2u = v_2 - v_1$
it cannot be applied as the masses are not known
A steel ball is released from rest a distance above a rigid horizontal surface and bounces several time. The diagram shows how its velocity varies with time. Which statement correctly explains why the areas $X$ and $Y$ are equal?
Three particles $A, B$ & $C$ of equal mass move with speed $V$ as shown to strike at centroid of equilateral triangle after collision. $A$ comes to rest & $B$ retraces its path with speed $V$. speed of $C$ after collision is :-
A sphere strikes a wall and rebounds with coefficient of restitution $1/3$. If it rebounds with a velocity of $0.1\, m/sec$ at an angle of $60^o$ to the normal to the wall, the loss of kinetic energy is
A body starts falling freely from height $\mathrm{H}$ hits an inclined plane in its path at height $\mathrm{h}$. As a result of this perfectly elastic impact, the direction of the velocity of the body becomes horizontal. The value of $\frac{\mathrm{H}}{\mathrm{h}}$ for which the body will take the maximum time to reach the ground is______.
A sphere $P$ of mass $m$ and moving with velocity $v$ undergoes an oblique and perfectly elastic collision with an identical sphere $Q$ initially at rest. The angle $\theta$ between the velocities of the spheres after the collision shall be .............. $^o$