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

Two balls each of mass 'm' are moving with same velocity v on a smooth surface as shown in figure. If all collisions between the balls and balls with the wall are perfectly elastic, the possible number of collisions between the balls and wall together is

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

The friction coefficient between the horizontal surface and blocks A and B are (1)/(15) and (2)/(15) respectively. The collision between the blocks is perfectly elastic. Find the separation (in meters) between the two blcoks when they come to rest.

Three blocks are initially placed as shown in the figure. Block A has mass m and initial velocity v to the right. Block B with mass m and block C with mass 4 m are both initially at rest. Neglect friction. All collisions are elastic. The final velocity of block A is

Three blocks are initially placed as shown in the figure. Block A has mass m and initial velocity v to the right. Block B with mass m and block C with mass 4m are both initially at rest. Neglect friction. All collisions are elastic. The final velocity of blocks A is

A block A of mass m is over a plank B of mass 2m . Plank B si placed over a smooth horizontal surface. The coefficient of friction between A and B is (1)/(2) . Blocks A is given a velocity V_(0) towards right. Then