$A$ man is slipping on a frictionless inclined plane and a bag falls down from the same height. Then the velocity of both is related as

The friction coefficient between the horizontal surface and each of the blocks shown in the figure is $\mu = 0.2$. The collision between the blocks is perfectly elastic. What is the separation between the blocks when they come to rest? (in $cm$)

$A$ particle of mass $m$ moving horizontally with velocity $v_0$ strikes a smooth wedge of mass $M$,as shown in the figure. After the collision,the particle starts moving up the inclined face of the wedge and rises to a height $h$. Choose the correct statement$(s)$ related to particle $m$.

In a smooth stationary cart of length $d$,a small block is projected along its length with velocity $v$ towards the front. The coefficient of restitution for each collision is $e$. The cart rests on a smooth ground and can move freely. The time taken by the block to come to rest with respect to the cart is:

Explain why total linear momentum is conserved in an elastic collision,and define inelastic collision and perfectly inelastic collision.

$A$ body is moved from rest along a straight line by a machine delivering constant power. The ratio of displacement and velocity $(s/v)$ varies with time $t$ as :