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

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.

The block shown in figure is released from rest and initially the spring is at its natural length. Write down the energy conservation equation. When the spring is compressed by l_(1) ?

In the system shown in figure, the block A is released from rest. Find Tension in the string.

In figure a spring with k = 168 N//m is in its relaxed length and is at the top of a frictionless incline of angle theta = 37^(@) . The lower end of the incline is at distance D = 1 m from the end of the spring. A small blcok of mass 2 kg is pushed against the spring until the spring is compressed by 0.2 m and released from rest. What is the speed of the block at the instant the spring returns to its relaxed length (which is when the block loses contact with the spring)?

A spring of free length 15 cm is connected to the two masses as shown in the figure -4.149 and compressed 5 cm. The system is released on a smooth horizonal surface. Find the speed of each block when the spring is again at its free length. The force constant for spring is 2100Nm^(1)

Two blocks of masses m and 2m compress a spring of spring constant k by x_(0) and blocks are a connected by a thread and placed on a smooth surface as shown. Now , thread is burned. Find the speed of each block when the spring attains its normal length L .

A block A (mass 4M) is placed on the top of a wedge block B of base length l (mass=20M) as shown in figure. When the system is released from rest. Find the distance moved by the block B till the block A reaches ground Assume all surfaces are frictionless.

A block of mass m is dropped from height h above the ground. Find out the speed of the block when it reaches the ground.

Block A in the figure is released from the rest when the extension in the spring is x_(0) . The maximum downward displacement of the block will be :