JEE Main Physics question

PhysicsSystems of Particles and Rotational MotionJEE Main

A space craft of mass 'M' moving with velocity 'v' suddenly breaks into two pieces of same mass 'm'. After the explosion, one piece of mass 'm' becomes stationary. What is the velocity of the other part of the craft?

Answer: (A)

Solution

By conservation of momentum: Mv = mv₁ + mv₂ ⟹ Mv = m(0) + (M−m)v₂ ⟹ v₂ = Mv/(M−m).

Question ID VK-154057