A spring is kept compressed by a small trolley of mass ring 0-5 kg lying on a smooth horizontal surface as shown in the adjacent Fig. When the trolley is released, it is found to move at a speed = 2 m `s^(-1)`. What potential energy did the spring poses when compressed?

A spring is kept compressed by a toy cart of mass 150 g.On releasing the cart.It moves with a speed of 0.2 m s^(-1) .Calculate the potential energy (elastic)of the spring .

A light spring of spring constant k is kept compressed between two blocks of masses m and M on a smooth horizontal surface. When released, the blocks acquire velocities in opposite directions. The spring loses contact with the blocks when it acquires natural length. If the spring was initially compressed through a distance d find the final speeds of the two blocks.

A small trolley of mass 2.0 kg resting on a horizontal turntable is connected by a light spring to the centre of the table. When the turntable is set into rotation at a speed of 300 rev/min the length of the stretched spring is 40 cm. If the original length of the spring is 35 cm, determine the force constant of the spring.

A block of mass m moving with velocity v_(0) on a smooth horizontal surface hits the spring of constant k as shown. The maximum compression in spring is

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

Assuming that potential energy of spring is zero when it is stretched by ( x_(0))/( 2) , its potential energy when it is compressed by x_(0) is

One end of a light spring of natural length d and spring constant k is fixed on a rigid wall and the other is attached to a smooth ring of mass m which can slide without friction on a vertical rod fixed at a distance d from the wall. Initially the spring makes an angle of 37^(@) with the horizontal as shown in fig. When the system is released from rest, find the speed of the ring when the spring becomes horizontal. [ sin 37^(@) = 3/5]

A dumbbell consists of two balls A and B of mass m=1 kg and connected by a spring. The whole system is placed on a smooth horizontal surface as shown in the figure. Initially the spring is at its natural length, the ball B is imparted a velocity v_(0)=8/(sqrt(7))m//s in the direction shown. The spring constant of the spring is adjusted so that the length of the spring at maximum elongation is twice that of the natural, length of the spring. Find the maximum potential energy stored (in Joule) in the spring during the motion.

On end of a light spring of natural length d and spring constant k is fixed on a rigid wall and the other is attached to a smooth ring of mass m which can slide without friction on a vertical rod fixed at a distance d from the wall. Initially the spring makes an angle of 37^@ with the horizontal. as shown in figure. When the system is released from rest, find the speed of the ring when the spring becomes horizontal. (sin 37^@=3/5) .

A block of mass m is initially moving to the right on a horizontal frictionless surface at a speed v. It then compresses a spring of spring constant k. At the instant when the kinetic energy of the block is equal to the potential energy of the spring, the spring is compressed a distance of :