Two identical balls $A$ and $B$ are released from the positions shown in figure. They collide elastically on horizontal portion $MN$. All surfaces are smooth. The ratio of heights attained by $A$ and $B$ after collision will be(Neglect energy loss at $M$ & $N$)
$1 : 4$
$2 : 1$
$4 : 13$
$2 : 5$
Body of mass $M$ is much heavier than the other body of mass $m$. The heavier body with speed $v$ collides with the lighter body which was at rest initially elastically. The speed of lighter body after collision is
A ball of mass $m$, moving with a speed $2v_0$, collides inelastically $(e > 0)$ with an identical ball at rest. Show that
$(a)$ For head-on collision, both the balls move forward.
$(b)$ For a general collision, the angle between the two velocities of scattered balls is less than $90^o$.
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?
A light particle moving horizontally with a speed of $12\ m/s$ strikes a very heavy block moving in the same direction at $10\ m/s$. The collision is one-dimensional and elastic. After the collision, the particle will
A body falls on a surface of coefficient of restitution $0.6 $ from a height of $1 \,m$. Then the body rebounds to a height of ........... $m$