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COMEDK2020PhysicsCenter of Mass, Momentum and Collision

A body of mass 1000 ~kg is moving horizontally with a velocity 50 ~m / s . A mass of 250 ~kg is added. Find the final velocity.

Options

  1. A40 ~m / s
  2. B20 ~m / s
  3. C30 2 ~m / s
  4. D50 ~m / s

Correct answer

A. 40 ~m / s

Step-by-step solution

Mass of the body, m=1000 ~kg v=50 ~m / s After adding 250 ~kg , new mass of the body, aligned m^ &=m+250 &=1000+250 &=1250 ~kg aligned If v^ be the final velocity of the body, then by conservation of linear momentum, aligned m v &=m^ v^ 1000 50 &=1250 v^ v^ &= 1000 50 1250 &=40 ~m / s aligned

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