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NEET2004PhysicsCenter of Mass, Momentum and CollisionActual

Consider a system of two particle having masses m₁ and m₂ . If the particle of mas m₁ is pushed towards the mass centre of particle through a distance d , by what distance would the particle of mass m₂ move so as to keep the mass centre of particles at the original position?

Options

  1. Am₁ m₁+m₂ d
  2. Bm₁ m₂ d
  3. Cd
  4. Dm₂ m₁ d

Correct answer

B. m₁ m₂ d

Step-by-step solution

We know that CM = m₁ x₁+m₂ x₂ m₁+m₂ After changing a position of m₁ and to keep the position of C.M. same. C.M. = m₁ (x₁ d )+m₂ ( x ₂-d₂ ) m₁+m₂ aligned 0 & = m₁ d-m₂ d₂ m₁+m₂ d₂ & = m₁ m₂ d aligned

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