Two identical blocks `A` and `B` , each of mass `m` resting on smooth floor are connected by a light spring of natural length `L` and spring constant `k`, with the spring at its natural length. A third identical block `C` (mass `m`) moving with a speed `v` along the line joining `A` and `B` collides with `A`. The maximum compression in the spring is

Options

A. `vsqrt(m/2k)`
B. `msqrt(v/2k)`
C. `sqrt(mv/2k)`
D. `mv/2k`

Answer

`(1)`

Explanation

`mv = (m + m) v^(1) and 1/2(m+ m) (v^(1))^(2) = 1/2 kx^(2)`