A bullet of mass m, moving with a velocity u hits a wooden block of mass M and gets embedded. Assuming that the wooden block can move freely, show that, the loss of kinetic energy `=1/2 (mM)/(m+M) u^2`.

A bullet of mass 250g , moving with a horizontal velocity of 400 m*s^(-1) , gets embedded in a target. The target of mass 4.75 kg can move freely. Find the loss of kinetic energy due to this collision. What happens to this energy loss ?

A bullet of mass 50 g , moving with a velocity of 50 m*s^(-1) hits and enters a wooden block of mass 2kg and comes to rest within it. The wooden block was initially at rest on a smooth table. Find the final velocity of the wooden block. What are the initial and final kinetic energies of the block-bullet system?

A bullet of mass m and velocity V is fired into a block of mass M and Sticks on it. The final velocity will be ___

A bullet of mass m moving with a horizontal velocity v entered a block of mass M. As a result , the block and the bullet start moving together. Show that, after the impact, m/(M+m) part of the kinetic energy of the bullet is available as mechanical energy. What happens to the rest of the energy?

A bullet of mass m travelling with a speed v hits a block of mass M initially at rest and gets embedded in it. The combined system is free to move and there is no other force acting on the system. The heat generated in the process will be

A body of mass m moving with a velocity u strikes elastically a stationary body of mass 2m . After the elastic collision the bodies move with velocities v and V respectively . Show that the body of mass m loses 8/9 part of its initial kinetic energy.

A ball of mass 100g moves with a velocity of 100m*s^(-1) . Find the wavelength of the wave associated with the moving ball.

A bullet of mass 6 g is fired with a velocity of 500 m cdot s^(-1) from a gun of mass 4 kg. Find the recoil velocity of gun.