A massless spring of force constant `1000 Nm^(-1)` is compressed a distance of `20 cm` between discs of `8 kg` and `2 kg`, spring is not attached to discs. The system is given an initial velocity `3 ms^(-1)` perpendicular to length of spring as shown in the figure. What is ground frame velocity of `2 kg` block (in `ms^(-1)`) when spring regains its natural length.

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 is placed on a smooth block of mass M = m with the help of a spring as shown in the figure. A velocity v_(0) is given to upper block when spring is in natural length. Find maximum compression in the spring.

A spring of force constant 1200 Nm^(-1) is mounted on a horizontal table and a mass of 3.0 kg of attached to the free and of the spring. The mass is made to rotate with an angular velocity of 10 rad/s. What is the elongation produced in the spring if its unstretched length is 60 cm ?

A block of mass 2kg is attached with a spring of spring constant 4000Nm^-1 and the system is kept on smooth horizontal table. The other end of the spring is attached with a wall. Initially spring is stretched by 5cm from its natural position and the block is at rest. Now suddenly an impulse of 4kg-ms^-1 is given to the block towards the wall. Find the velocity of the block when spring acquires its natural length

A block of mass 2kg is attached with a spring of spring constant 4000Nm^-1 and the system is kept on smooth horizontal table. The other end of the spring is attached with a wall. Initially spring is stretched by 5cm from its natural position and the block is at rest. Now suddenly an impulse of 4kg-ms^-1 is given to the block towards the wall. Find the velocity of the block when spring acquires its natural length

Two point masses of 3.0 kg and 1.0 kg are attached to opposite ends of a horizontal spring whose spring constant is 300Nm^(-1) as shown in the figure. The natural vibration frequency of the system is of the order of :

A 2kg block is dropped from a height of 0.4 m on a spring of force constant 1960Nm^(-1) . The maximum compression of the spring is