Three blocks of masses m , m and M are kept on a frictionless floor as shown in the figure .The leftmost block is given velocity v towards the right . All the collision between the blocks are perfectly inelastic . The loss in kinetic energy after all the collision is `5//6th` of initial kinetic energy. The ratio of `M//m` will be

The collision between both blocks shown in figure is completely inelastic. The total energy of oscillation after collision is

There are hundred indentical blocks equally spaced on a frictionless track as shown in the figure . Initially , all the blocks are separate . Each collision is perfectly inelastic . The final velocity will be

There are hundred indentical blocks equally spaced on a frictionless track as shown in the figure . Initially , all the blocks are separate . Each collision is perfectly inelastic . The final velocity will be

Two identical balls, each of mass m , are tied with a string and kept on a frictionless surface. Initially, the string is slack. They are given velocities 2u and u . in the same direction. Collision between the balls is perfectly elastic. After the first collision, what is the total loss in kinetic energy of the balls?

Infinite blocks each of mass M are placed along a straight line with a distance d between each of them. At t = 0 the leftmost block is given a velocity V towards right. The coefficient of frication between any block and the surface is mu and all collisions are elastic. Let the total number of collisions be N then N is

Infinite blocks each of mass M are placed along a straight line with a distance d between each of them. At t = 0 the leftmost block is given a velocity V towards right. The coefficient of frication between any block and the surface is mu and all collisions are elastic. Let the total number of collisions be N then N is

Two blocks of mass m and M are lying on a smooth table. A spring is attached with the block of mass M (see fig). Block of mass m is given a velocity towards the other block. Find the value of (M)/(m) for which the kinetic energy of the system will never fall below one third of the initial kinetic energy imparted to the block of mass m.

A particle of mass m moving in the x direction with speed 2v is hit by particle of mass 2m moving in the y direction with speed v. If the collision is perfectly inelastic, the percentage loss in the energy during the collision is close to: