2n identical cubical blocks are kept in a straight line on a horizontal smooth surface. The separation between any two consecutive blocks is same. The odd numbered blocks `1, 3, 5,.....(2n–1)` are given velocity `v` to the right whereas blocks `2, 4, 6,......2n` are given velocity `v` to the left. All collisions between blocks are perfectly elastic. Calculate the total number of collisions that will take place.

A set of n identical cubical blocks lies at rest parallel to each other along a line on a smooth horizontal surface. The separation between the near surfaces of any two adjacent blocks is L . The block at one end is given a speed v towards the next one at time 0 t . All collisions are completely inelastic, then

A set of n identical cubical blocks lies at rest parallel to each other along a line on a smooth horizontal surface. The separation between the near surfaces of any two adjacent blocks is L . The block at one end is given a speed v towards the next one at time 0 t . All collisions are completely inelastic, then

A set of a identical cubical blocks lies at rest parallel to each other along a line on a smooth horizontal surface. The separation between the near surface of any two adjacent blocks is L . The block at one and is given a speed v towards the next one at time t = 0 . All collision are completely inelastic , then the last block starts moving at

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

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

A large number of small identical blocks, each of mass m, are placed on a smooth horizontal surface with distance between two successive blocks being d. A constant force F is applied on the first block as shown in the figure (a) If the collisions are elastic, plot the variation of speed of block 1 with time. (b) Assuming the collisions to be perfectly inelastic, find the speed of the moving blocks after n collisions. To what value does this speed tend to if n is very large.

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