Two blocks A and B of the same mass are connected to a light spring and placed on a smooth horizontal surface B is given velocity `v_(0)` (as shown in the figure) when the spring is in natural length. In the subsequent motion.

The two blocks A and B of same mass connected to a spring and placed on a smooth surface. They are given velocities (as shown in the figure) when the spring is in its natural length :

A dumbbell consists of two balls A and B of mass m=1 kg and connected by a spring. The whole system is placed on a smooth horizontal surface as shown in the figure. Initially the spring is at its natural length, the ball B is imparted a velocity v_(0)=8/(sqrt(7))m//s in the direction shown. The spring constant of the spring is adjusted so that the length of the spring at maximum elongation is twice that of the natural, length of the spring. Find the maximum potential energy stored (in Joule) in the spring during the motion.

Two masses A and B of mass M and 2M respectively are connected by a compressed ideal spring. The system in placed on a horizontal frictionless table and given a velocity uhat(k) in the z-direction as shown in the figure. The spring is then released. In the subsequent motion the line from B to A alwyas points along the hat(i) unit vector. All some instant of time mass B has a x-component of velocity as v_(x)hat(i) . The velocity vec(v)_(A) of mass A at that instant is :-

Two blocks A and B of masses m and 2m respectively are connected together by a light spring of stiffness k and then placed on a smooth horizontal surface. The blocks are pushed towards each other such that spring gets compressed by a length x_(0) and then released from rest. Find the work done on the block A by the spring, by the time the spring acquires its natural length.

Two blocks A and B of masses m & 2m placed on smooth horizontal surface are connected with a light spring. The two blocks are given velocities as shown when spring is at natural length. (i) Find velocity of centre of mass (b) maximum extension in the spring

Two blocks A and B of mass m and 2m respectively are connected by a light spring of force constant k. They are placed on a smooth horizontal surface. Spring is stretched by a length x and then released. Find the relative velocity of the blocks when the spring comes to its natural length

Two blocks A and B each of mass m are connected by a light spring of natural length L and spring constant k. The blocks are initially resting on a smooth horizontal floor with the spring at its natural length, as shown. A third identical block C, also of mass m, moves on the floor with a speed v along the line joining A to B and collides with A. Collision is elastic and head on. Then -

Two masses are connected by a spring as shown in the figure. One of the masses was given velocity v = 2 k, as shown in figure where 'k' is the spring constant. Then maximum extension in the spring will be

Two blocks of masses m and M connected by a light spring of stiffness k, are kept on a smooth horizontal surface as shown in figure. What should be the initial compression of the spring so that the system will be about to break off the surface, after releasing the block m_1 ?