The ball strikes the block and sticks to it. Find the maximum compression of spring. (`L`: natural length of spring)

A block is released from height h , find the maximum compression of spring of spring constant k .

Find maximum compression is the spring from the given figure.

A block of mass 180 g is placed on a spring (spring constant k = 120 N//m ) fixed from below. A ball of mass 20 g is dropped from height 20 m and the collision is completely inelastic. Find the maximum compression of the spring. Neglect the initial compression of the spring due to the block.

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.

Figure. shows a rough horizontal plane which ends in a vertical wall, to which a spring is connected, having a force constant k. Initially spring is in its relaxed state. A block of mass m starts with an initial velocity u towards the spring from a distance l_(0) from the end of spring shown. When block strikes at the end ofthe spring, it compresses the spring and comes to rest. Find the maximum compression in the spring. The friction coefficient between the block and the floor is mu ..

Block A is hanging from a vertical spring and is at rest. Block B strikes the block A with velocity v and sticks to it. Then the value of v for which the spring just attains natural length is

Block A is hanging from a vertical spring and is at rest. Block B strikes the block A with velocity v and sticks to it. Then the value of v for which the spring just attains natural length is

Block A is hanging from a vertical spring and is at rest. Block B strikes the block A with velocity v and sticks to it. Then the value of v for which the spring just attains natural length is

A ball of mass m is projected horizontally with velocity v into the barrel of a spring gun of mass M initially at rest on a frictionless table. The mass m sticks in the barrel at the point of maximum compression of the spring. What fraction of the initial energy of the ball is stored in the spring ? [Hint : Apply energy conservation principal to the system to obtain the maximum work done on the spring which is stored as potential energy of the spring. The spring will be progressively compressed till the two acquire a common velocity]