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 :- .............. $\mathrm{cm}$
$5 $
$10 $
$16$
$20$
Three different projectiles, each with the same mass, are fired with speed $v$ at a wall. In case $A,$ the projectile bounces straight back with speed $v.$ In case $B$, the projectile sticks to the wall. In case $C$, the projectile crashes through the wall and emerges with half its original speed. These three cases are shown here.
Place the impulse exerted by the wall on the projectile in each of these three cases in the correct order.
Two small balls are fixed at the ends of a light rigid rod of length $0.4\ m$.The system is released from height $h = 5\ m$ with rod horizontal. The balls collide with the horizontal surface and rebound . The coefficient of restitution between $A$ and ground is $0. 6$ and that between $B$ and ground is $0.4$ . Find angular speed (in $rad/s$) just after the collision. Taking acceleration of free fall $10\ m/s^2$
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 bullet of $10\, {g}$, moving with velocity $v$, collides head-on with the stationary bob of a pendulum and recoils with velocity $100 \, {m} / {s}$. The length of the pendulum is $0.5\, {m}$ and mass of the bob is $1\, {kg}$. The minimum value of $v=$ $....{m} / {s}$ so that the pendulum describes a circle. (Assume the string to be inextensible and ${g}=10\, {m} / {s}^{2}$ )
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