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NEET2004PhysicsCenter of Mass, Momentum and CollisionActual

A particle of mass m₁ is moving with a velocity v₁ and another particle of mass m₂ is moving with a velocity v₂ . Both of them have the same momentum but their different kinetic energies are E₁ and E₂ respectively. If m₁>m₂ then:

Options

  1. AE₁ < E₂
  2. BE₁ E₂ = m₁ m₁
  3. CE₁>E₂
  4. DE₁=E₂

Correct answer

A. E₁ < E₂

Step-by-step solution

We know that K.E. = P^2 2 m array ll & E₁ E₂ = P₁^2 / 2 m₁ P₂^2 / 2 m₂ E₁ E₂ = m₂ m₁ array Here m₁=m₂ E₁ < E₂

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