A body of mass $m$ moving with velocity $v$ makes a head-on collision with another body of mass $2 \,m$ which is initially at rest. The loss of kinetic energy of the colliding body (mass $m$) is
$\frac{1}{2}$ of its initial kinetic energy
$\frac{1}{9}$ of its initial kinetic energy
$\frac{8}{9}$ of its initial kinetic energy
$\frac{1}{4}$of its initial kinetic energy
It is found that if a neutron suffers an elastic collinear collision with deuterium at rest, fractional loss of its energy is $p_d $ ; while for its similar collision with carbon nucleus at rest, fractional loss of energy is $P_c$. The values of $P_d$ and $P_c$ are respectively
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
The friction coefficient between the horizontal surface and each of the block shown in figure is $0.2.$ The collision between the blocks is perfectly elastic. What is the separation between the blocks when they come to rest :- .............. $\mathrm{cm}$
In the above question, if another body is at rest, then velocity of the compound body after collision 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?