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JEE Main202310 Apr 2023Morning ShiftPhysicsCenter of Mass, Momentum and CollisionActual

A particle of mass m moving with velocity v collides with a stationary particle of mass 2 m . After collision, they stick together and continue to move together with velocity

Options

  1. Av 3
  2. Bv 4
  3. Cv
  4. Dv 2

Correct answer

A. v 3

Step-by-step solution

The law of conservation of momentum is given as m 1 u + m 2 u ' = m 1 + m 2 v ' The given data is u = v u ' = 0   m   s - 1 m 1 = m m 2 = 2 m Using the conservation of momentum equation, m v + 2 m ( 0 ) = ( m + 2 m ) v ' ⇒ v ' = m v 3 m = v 3

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