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NTA Abhyas JEE Main2020PhysicsCenter of Mass, Momentum and CollisionPractice

Three objects A , B and C are kept in a straight line on a frictionless horizontal surface. These have masses m , 2 m and m , respectively. The object A moves towards B with a speed 9 m s - 1 and makes an elastic collision with it. Thereafter, B makes completely inelastic collision with C . All motions occur on the same straight line. Find the final speed (in m s - 1 ) of the object C .

Options

  1. A4
  2. B7
  3. C10
  4. D12

Correct answer

A. 4

Step-by-step solution

After elastic collision, υ ' A = m - 2 m m + 2 m 9 + 2 2 m m + 2 m 0 = - 3 m s - 1 Now from conservation of linear momentum after all collisions are complete, m + 9 m s - 1 = m - 3 m s - 1 + 3 m υ C or υ C = 4 m s - 1

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