Figure shows a force compression curve of a spring. A body of mass `5kg` moving with the velocity of `8m//s` hits the spring. Calculate the force constant of the spring and also the compression produced in the spring when the body hits it.

A body of mass 0.1 g moving with a velocity of 10 m/s hits a spring (fixed at the other end) of force constant 1000 N/m and comes to rest after compressing the spring. The compression of the spring is

A ball of mass 1 kg moving with velocity 3 m//s , collides with spring of natural length 2m and force constant 144 N//m . What will be length of compressed spring ?

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

A ball of mass 4kg, moving with a velocity of 10ms^(-1) , collides with a spring of length 8m and force constant 100Nm^(-1) . The length of the compressed spring is x m. The value of x, to the nearest integer, is ...........

On compressing a spring by 0.5 m, a restoring force of 20 N is developed. When a body of mass 5 kg is placed on the spring, then calculate the (a) force constant of the spring. (b) the distance through which the spring is depressed under the weight of the body. (c ) the period of oscillation of the spring if the the body is pushed down and then released.

The spring constant of the spring shown in the figure is 250Nm^(-1) . Find the maximum compression of the spring?

Two blocks of masses 1 kg and 3 kg are moving with velocities 2 m//s and 1 m//s , respectively , as shown. If the spring constant is 75 N//m , the maximum compression of the spring is