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NTA Abhyas JEE Main2020PhysicsCenter of Mass, Momentum and CollisionPractice

A body of mass 3 kg collides elastically with another body at rest and then continues to move in the original direction with one-half of its original speed. What is the mass of the target body (in kg )?

Correct answer

1

Step-by-step solution

Conservation of linear momentum : 3 u = ( 3 u / 2 ) + m v                   ⇒ m v = ( 3 u / 2 ) … ( 1 ) Newton's experimental law : u = – e ( u / 2 – v ) Putting e = 1 for elastic collision we obtain, v = 3 u 2 … . . ( 2 ) Using (1) and (2), we obtain m = 1   kg .

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