Two blocks of mass M and m, are used to compress two different massless spring as shown. The left spring is compressed by 3 cm, while the right spring is compressed by an unknown amount.. The system is at rest, and all surfaces fixed and smooth. Which of the following statements are true?

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 masses m and 2m are attached to two ends of an ideal spring as shown in figure. When thye 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 of masses 6 kg and 3 kg are attached to the two ends of a massless spring of spring constant 2 pi^(2) N//m . If spring is compressed and released on a smooth horizontal surface then find the time period (in seconds) of each block.

Two blocks of masses 6 kg and 3 kg are attached to the two ends of a massless spring of spring constant 2 pi^(2) N//m . If spring is compressed and released on a smooth horizontal surface then find the time period (in seconds) of each block.

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

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 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 of masses m = 2 kg and m = 8 kg are connected to a spring of force constant K = 1 kN//m . The spring is compressed by 20 cm and the two blocks are held in this position by a string. The system is placed on a horizontal smooth surface and given a velocity u = 3 m//s perpendicular to the spring. The string snaps while moving. Find the speed of the block of mass m when the spring regains its natural length.

A block of mass 'm' initially at rest is dropped from a height 'h' into a spring whose constant is k. The maximum distance through which the spring is compressed is :

A block of mass m moving at a speed v_0 compresses a spring of spring constant k as shown in the figure. Find (a) the maximum compression of spring and (b) speed of the block when the spring is compressed to half of maximum compression.