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JEE Main202427 Jan 2024Morning ShiftPhysicsCenter of Mass, Momentum and CollisionActual

A body of mass 1000 kg is moving horizontally with a velocity 6 m s - 1 . If 200 kg extra mass is added, the final velocity (in m s - 1 ) is:

Options

  1. A6
  2. B2
  3. C3
  4. D5

Correct answer

D. 5

Step-by-step solution

From the conservation of linear momentum, it can be written that M u = M + m v . . . 1 where, M is the initial mass, u is the initial velocity, m is the extra mass added and v is the final velocity of the composition. From equation (1), it follows that 1000 × 6 = 1200 × v ⇒ v = 5 m s - 1

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