JEE Main Physics question
A body moving with a velocity v, breaks up into two equal parts. One of the parts retraces back with velocity v. Then, the velocity of the other part is [DCE 2004]
Answer: (B)
Solution
Let M be the total mass, each part M/2. Momentum conservation: Mv = (M/2)(−v) + (M/2)v' ⟹ 2v = −v + v' ⟹ v' = 3v (forward).