B M Sharma Solutions for Chapter: Impulse and Collision, Exercise 6: Exercises

A gun which fires small ball of mass $20\mathrm{gm}$ is firing $20$ balls per second on the smooth horizontal table surface $ABCD$. If the collision is perfectly elastic and balls are striking at the centre of table with a speed $5 \mathrm{m} {\mathrm{s}}^{-1}$ at an angle of $60°$ with the vertical just before collision, then force exerted by one of the leg on ground is (assume total weight of the table is $0.2\mathrm{kg}$ and $g=10 \mathrm{m} {\mathrm{s}}^{-2}$):-

A ball strikes a smooth horizontal floor obliquely and rebounds inelastically.

A particle $A$ suffers an oblique elastic collision with a particle $B$ that is at rest initially. If their masses are the same, then after the collision

A ball strikes a wall with a velocity $\overrightarrow{u}$ at an angle $\theta$ with the normal to the wall surface and rebounds from it at an angle $\beta$ with the surface. Then

Two masses, $2m$ and $m$ are connected by an inextensible light string. The string is passing over a light frictionless pulley. The mass $2m$ is resting on a surface and mass $m$ is hanging in the air as shown in the figure. A particle of mass, $m$ strikes the mass, $m$ from below in case $\left(i\right)$ with a velocity $v_0$ and in case $\left(ii\right)$ strikes mass $m$ with a velocity $v_0$ from top and sticks to it.

A body of mass $2 \mathrm{kg}$ moving with a velocity $3 \mathrm{m} {\mathrm{s}}^{-1}$ collides with a body of mass $1 \mathrm{kg}$ moving with a velocity of $4 \mathrm{m} {\mathrm{s}}^{-1}$ in opposite direction. If the collision is head on and completely inelastic, then

The diagram shows a string of equally placed beads of mass $m$, separated by distance $d$. The beads are free to slide without friction on a thin wire. A constant force $F$ acts on the first bead initially at rest till it makes collision with the second bead. The second bead then collides with the third and so on. Suppose that all collisions are elastic.

A $70 \mathrm{g}$ ball $B$ dropped from a height $h_0=9 \mathrm{m}$reaches a height $h_2=0.25 \mathrm{m}$ after bouncing twice from identical $210 \mathrm{g}$plates. Plate A rests directly on hard ground, while plate $C$ rests on a foam -rubber mat. Determine.
(ii) the height $h_1$ of the ball's first bounce.