Two blocks A and B, each of mass m, are connected by a masslesss spring of natural length L and spring constant K. The blocks are initially resting on a smooth horizontal floor with the spring at its natural length, as shown in fig. A third identical block C, also of mass m, moves on the floor with a speed v along the line joining A and B, and collides elastically with A. Then

Options

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

Answer

A

Explanation

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