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MHT CET20249 May 2024Morning ShiftPhysicsCenter of Mass, Momentum and CollisionActual

In the system of two particles of masses ' m ₁ ' and ' m ₂ ', the first particle is moved by a distance 'd' towards the centre of mass. To keep the centre of mass unchanged, the second particle will have to be moved by a distance

Options

  1. Am ₂ ~m ₁ ~d , towards the centre of mass.
  2. Bm₁ m₂ d , away from the centre of mass.
  3. Cm ₁ ~m ₂ ~d , towards the centre of mass.
  4. Dm₂ m₁ ~d , away from the centre of mass.

Correct answer

C. m ₁ ~m ₂ ~d , towards the centre of mass.

Step-by-step solution

array ll & m₁ x₁=m₂ x₂ ...(i) & m₁ (x₁-d )=m₂ (x₂-d^ ) ...(ii) & m₁ x₁-m₁ d=m₂ x₂-m₂ d^ & m₁ d=m₂ d^ & d^ = m₁ m₂ d array ...[From (i)]

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