Two identical blocks A and B have two identical springs fixed to them (see fig). Mass of each block is M and force constant of each spring is K. The two blocks have been placed on a smooth table. Another block C of mass m `(lt lt M)` is placed between A and B and is held close to A so as to compress the spring attached to A by `X_(0)`. From this position the system is released. C moves to push B and then is back to push A. The sequence continues until all interactions between the blocks cease. Find the speeds eventually acquired by A and B.

Answer

`V = sqrt((K)/(2M))x_(0)`