Four particles $A, B, C$  and $D$  of equal mass are placed at four corners of a square. They move with equal uniform speed  $v$  towards the intersection of the diagonals. After collision, $A$  comes to rest, $B$ traces its path back with same speed and $C$ and $D$ move with equal speeds. What is the velocity of $C$  after collision

 A lorry and a car moving with the same $K.E.$  are brought to rest by applying the same retarding force, then

A smooth rightangled wedge of mass $M$ is kept on a smooth horizontal surface as shown. A mass $m$ is released from top of wedge when $m$ reaches ground its speed is $V$. Work done by normal contact force on $m$, while it comes down to ground is :-

In an elastic collision between disks $A$ and $B$ of equal mass but unequal radii, $A$ moves along the $x$ -axis and $B$ is stationary before impact. Which of the following is possible after impact?

Body $A$ of mass $4 \;\mathrm{m}$ moung with speed $u$ collides with another body $B$ of mass $2\; \mathrm{m}$, at rest. The collision is head on and elastic in nature. After the collision the fraction of energy lost by the colliding body $A$ is

As shown in the figure $a$ body of mass $m$ moving vertically with speed $3\, m/s$ hits a smooth fixed inclined plane and rebounds with a velocity $v_f$ in the horizontal direction. If $\angle$ of inclined is $30^o$, the velocity $v_f$ will be