$A$ flexible chain of length $2m$ and mass $1kg$ initially held in vertical position such that its lower end just touches a horizontal surface, is released from rest at time $t = 0$. Assuming that any part of chain which strikes the plane immediately comes to rest and that the portion of chain lying on horizontal surface does not from any heap, the height of its centre of mass above surface at any instant $t = 1/\sqrt 5$ befor it completely comes to rest) is ................ $\mathrm{m}$
$1$
$0.5$
$1.5$
$0.25$
An object of mass $M_1$ moving horizontally with speed $u$ collides elastically with another object of mass $M_2$ at rest. Select correct statement.
A lorry and a car moving with the same $K.E.$ are brought to rest by applying the same retarding force, then
A ball falling freely from a height of $4.9\,m,$ hits a horizontal surface. If $e = \frac {3}{4}$ , then the ball will hit the surface, second time after .............. $\mathrm{s}$
Statement $-1$: Two particles moving in the same direction do not lose all their energy in a completely inelastic collision.
Statement $-2$ : Principle of conservation of momentum holds true for all kinds of collisions.
Two identical balls $A$ and $B$ are released from the positions shown in figure. They collide elastically on horizontal portion $MN$. The ratio of the height attained by $A$ and $B$ after collision will be: (neglect friction)