A spring of stiffness `2KN/m` is attached to a block of mass `8kg` on a surface that has frictional co-efficient `0.4`.The spring is compressed and released,and the block accelerates at `4m/s^(2)` just as it is released. The work done in compressing the spring is:

The spring is compressed by a distance a and released. The block again comes to rest when the spring is elongated by a distance b . During this

Two blocks of masses m and m' are connected by a light spring on a horizontal frictionless table . The spring is compressed and then released . Find the ratio of acceleration of masses .

Two blocks A and B of masses m and 2m respectively are connected together by a light spring of stiffness k and then placed on a smooth horizontal surface. The blocks are pushed towards each other such that spring gets compressed by a length x_(0) and then released from rest. Find the work done on the block A by the spring, by the time the spring acquires its natural length.

In the figure, the block of mass m, attached to the spring of stiffness k is in correct with the completely elastic wall, and the compression in the spring is e. The spring is compressed further by e by displacing the block towards left and is then released. If the collision between the block and the wall is completely eleastic then the time period of oscillation of the block will be

A spring, placed horizontally on a rough surface is compressed by a block of mass m, placed on the same surface so as to store maximum energy in the spring. If the coefficient of friction between the block and the surface is mu , the potential energy stored in the spring is

A block of mass m is suddenly released from the top of a spring of stiffness constant k. a. Find the acceleration of block just after release. b. What is the compression in the spring at equilibrium. c. What is the maximum compression in the spring. d. Find the acceleration of block at maximum compression in the spring.

Two blocks of mass 2kg and 5kg are given speed as shown in the figure. System is lying on a frictionless surface and the blocks are connected by a massless spring if spring constant 35 N/m . Find the maximum compression in the spring.

The block shown in figure is released from rest. Find out the speed of the block when the spring is compressed by 1 m

A block A has a mass m_(1)=2 kg and is attached to a spring of spring consstant 50 N/m. Another block of mass 4 kg is pressed against A, so that the spring is compressed by a distance d. Then find the maximum value of d (in metre) for which on release of B. the block A does no lose contact from wall. (Friction coefficient mu=0.5 ).

A block of mass m is attached to a spring of force constant k whose other end is fixed to a horizontal surface. Initially the spring is in its natural length and the block is released from rest. The average force acting on the surface by the spring till the instant when the block has zero acceleration for the first time is