A body of mass `m` moving at a constant velocity `v` hits another body of the same mass moving with a velocity `v//2` but in the opposite direction and sticks to it. The common velocity after collision is

Options

A. `v`
B. `v//4`
C. `2 v`
D. `v//2`

Answer

B

Explanation

`m_(1) u_(1) -m_(2) u_(2) = (m_(1) + m_(2)) v`.