Two identical block A and B each having mass m, are connected with a spring of force constant k. The floor is smooth and A is pushed so as to compress the spring by `x_(0)`. The system is released from this position
(a) Calculate the maximum speed of the centre of mass of the system during subsequent motion.
(b) What is acceleration of the centre of mass at the instant it acquires half its maximum speed ?

Answer

(a) `(1)/(2) sqrt((k)/(m))x_(0)`
(b) `(sqrt(3)kx_(0))/(4m)`