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

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 :

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.

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The block of mass m is released when the spring was in its natrual length. Spring constant is k. Find the maximum elongation of 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