A mass of $10 \,gm$ moving with a velocity of $100\, cm/s$ strikes a pendulum bob of mass $10\, gm$. The two masses stick together. The maximum height reached by the system now is  ............... $cm$ $(g = 10\,m/{s^2})$

A body of mass $M$ moves with velocity $v$ and collides elastically with a another body of mass $m$ ($M>>m$) at rest then the velocity of body of mass $m$ is

Discuss elastic collision in two dimension.

A bullet of mass $0.01\, kg$ and travelling at a speed of $500 \,m/s$. strikes a block of  mass $2 \,kg$. which is suspended by a string of length $5\,m$. The centre of gravity of the  block is found to raise a vertical distance of $0.1\,m$. What is the speed of the bullet  after it emerges from the block- ................ $\mathrm{m}/ \mathrm{s}$

A large block of wood of mass $M =5.99\, kg$ is hanging from two long massless cords. A bullet of mass $m =10\, g$ is fired into the block and gets embedded in it. The (block $+$ bullet) then swing upwards, their centre of mass rising a vertical distance $h =9.8\,cm$ before the (block $+$ bullet) pendulum comes momentarily to rest at the end of its arc. The speed of the bullet just before collision is: (Take $g =9.8\, ms ^{-2}$ ) (in $m/s$)

In figure, determine the type of the collision The masses of the blocks, and the velocities before and after the collision are given. The collision is