A spring of stiffness 1kN/m is attached to a block of mass 4kg on a surface that has friction coefficient 0.4 . The spring is compressed and released and the block accelerates at 2m/s^2 just after 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 .

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 A has a mass m_(1)=2 kg and is attached to a spring of spring constant 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 ).

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.

A massless spring of stiffness 400 N/m is fastened at left end to a vertical wall as shown in the figure I. initially block C of mass 2 kg and block D of mass 5 kg rest on horizontal surface with block C in contact with spring (But not compressiong it.) and the block D in contact with block C block C is moved leftward compressing spring by a distance of 0.5 m and held in place while block D remains at rest as shown in the figure. Now block C is released and it accelerates to the right towards block D the surface is rough and the coefficient of friction between each block and surface is 0.1 The block collide Instantaneously stick together and move right find the velocity of combined system just after collision.

In the figure shown, all surfaces are smooth and force constant of spring is 10N//m . Block of mass (2 kg) is attaced with the spring. The spring is compressed by (2m) and then released. Find the maximum distance d travelled by the block over the inclined plane. Take g=10m//s^(2) . .

Two masses m and 2m are attached to two ends of an ideal spring as shown in figure. When the spring is in the compressed state, the energy of the spring is 60 J, if the spring is released, then at its natural length

Two blocks each having mass m is attached to each other with a spring having force constant k. The system is placed on a rough horizontal surface having coefficient of friction mu . The maximum initial compression, that can be given to the spring so that when released the blocks do not move is