A mass m moving horizontally (along the X-axis) with velocity v collides and sticks to a mass of 3 m moving vertically upward (along the Y - axis) with velocity 2v. The final velocity of the combination is `……….`

Options

A. `1/4 v hat(i) +3/2 v hat(j)`
B. `1/3 v hat(i) +2/3 v hat(j)`
C. `2/3 v hat(i) +1/3 v hat(j)`
D. `3/2 v hat(j) +1/4 v hat(j)`

Answer

A

Explanation

Both sticks in collision .hence this collision is inelastic collision and only momentum conserved .
` :. Mv hat(i) +3m (2v) hat(j) = 4m vec(v)`
The velocity of the both the stick body is `vec(v)` .
` :. vec(v) =1/4 v hat(i) +3/2 v hat(j)`