Two blocks of masses `m_(1)` and `m_(2)` are connected by an ideal sprit, of force constant `k`. The blocks are placed on smooth horizontal surface. A horizontal force `F` acts on the block `m_(1)`. Initially spring is relaxed, both the blocks are at rest.

What is acceleration of centre of mass of system at the instant of maximum elongation of spring

Options

A. zero
B. `(F(m_(1)+m_(2)))/(m_(1)m_(2))`
C. `F/m_(1)`
D. `F/(m_(1)+m_(2))`

Answer

D

Explanation

`F=(m_(1)+m_(2))a_(cm)impliesa_(cm)=F/(m_(1)+m_(2))`