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 the 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 proportional to

Options

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

Answer

a

Explanation

compression,` x=VT=Vx2pisqrt(m)/(2k)`
`x alphasqrt(m)/(2k)`