$A$ $4$ -kilogram disk slides over level ice toward the east at a velocity of $1$ meter per second, as shown. The disk strikes a post and rebounds toward the north at the same speed. The change in the magnitude of the eastward component of the momentum of the disk is ............. $\mathrm{kg}$ $ \cdot $ $\mathrm{m}/ \mathrm{s}$
$-4$
$-1$
$0$
$4$
From a stationary tank of mass $125000$ pound a small shell of mass $25$ pound is fired with a muzzle velocity of $1000\, ft/sec$. The tank recoils with a velocity of ............ $\mathrm{ft/sec}$
As per the given figure, two blocks each of mass $250\,g$ are connected to a spring of spring constant $2\,Nm ^{-1}$. If both are given velocity $V$ in opposite directions, then maximum elongation of the spring is:
State and establish principle of conservation of mechanical energy.
In an elastic collision of two billiard balls, which of the following quantities remain conserved during the short time of collision of the balls ? (i.e. when they are in contact)
$(a)$ Kinetic energy.
$(b)$ Total linear momentum.
Give reason for your answer in each case.
The inclined surfaces of two movable wedges of same mass $M$ are smoothly conjugated with the horizontal plane as shown in figure. $A$ washer of mass $m$ slides down the left wedge from a height $h$. To what maximum height will the washer rise along the right wedge? Neglect friction.