A mass m moving horizontally (along the X-axis) with velocity v collides and sticks to a mass of 3 m moving vertically upward (alongthe Y - axis) with velocity2v. The final velocity of the combination is ……….

A mass m moving horizontally (along the X-axis) with velocity v collid

1.	A mass m moving horizontally (along the X-axis) with velocity v collides and sticks to a mass of 3 m moving vertically upward (alongthe Y - axis) with velocity2v. The final velocity of the combination is ……….
Answer» `1/4 v HAT(i) +3/2 v hat(j)` `1/3 v hat(i) +2/3 v hat(j)` `2/3 v hat(i) +1/3 v hat(j)` `3/2 v hat(j) +1/4 v hat(j)` SOLUTION : 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)`