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MHT CET202611 April 2026Evening ShiftPhysicsCenter of Mass, Momentum and CollisionActual

A mass M moving with velocity V along X-axis collides and sticks to another mass 2M which is moving along Y-axis with velocity 3V. The velocity of the combination, after the collision is

Options

  1. AV i + 2V j
  2. BV 3 i + 2V j
  3. CV i + 3V j
  4. D2V i + 4V j

Correct answer

B. V 3 i + 2V j

Step-by-step solution

Initial momentum of the system is P _i = M(V i ) + 2M(3V j ) = MV i + 6MV j Final momentum of the system is P _f = (M + 2M) v _f = 3M v _f By conservation of linear momentum, P _i = P _f MV i + 6MV j = 3M v _f v _f = V 3 i + 2V j Answer: V 3 i + 2V j

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