Two identical particles are moving with same velocity $v$ as shown in figure. If the collision is completely inelastic then
The velocity of separation is zero
The velocity of approach is $2\,v \sin\, (\theta /2)$
The common velocity after collision is $v \cos\,(\theta /2)$
All of the above
A shell of mass $m$ moving with velocity $v$ suddenly breakes into two pieces. The part having mass $\frac{m}{5}$ remains stationary. The velocity of the other part will be
Four smooth steel balls of equal mass at rest are free to move along a straight line without friction. The first ball is given a velocity of $0.4\, m/s$. It collides head on with the second elastically, the second one similarly with the third and so on. The velocity of the last ball is .............. $\mathrm{m}/ \mathrm{s}$
A body at rest is moved along a horizontal straight line by a machine delivering a constant power. The distance moved by the body in time $t^{\prime}$ is proportional to :
In one dimensional case, the relationship between force and position is shown in the figure. The work done by the force in displacing a body from $x = 1\, cm$ to $x = 5\, cm$ is ............ $\mathrm{ergs}$
A body is dropped from a height $h$ . If it acquires a momentum $p$ just before striking the ground, then the mass of the body is