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Concepts Of Physics MCQ Edition [Volume 1]PhysicsNewton's Laws of Motion

A particle is monitored from two reference frames, S₁ and S₂ . Frame S₂ is moving with an acceleration a relative to S₁ . Suppose F₁ and F₂ are the pseudo forces acting on the particle as observed from S₁ and S₂ , respectively. Which of the following cases is impossible?

Options

  1. AF₁ = 0 , F₂ 0
  2. BF₁ 0 , F₂ = 0
  3. CF₁ = 0 , F₂ = 0
  4. DF₁ 0 , F₂ 0

Correct answer

C. F₁ = 0 , F₂ = 0

Step-by-step solution

Let the acceleration of frame S₁ with respect to an inertial frame be A ₁ . Given that the acceleration of frame S₂ with respect to S₁ is a , the acceleration of frame S₂ with respect to the inertial frame is A ₂ = A ₁ + a . The pseudo force on a particle of mass m in frame S₁ is F ₁ = -m A ₁ . The pseudo force on the particle in frame S₂ is F ₂ = -m A ₂ = -m( A ₁ + a ) . Subtracting the two equations yields F ₂ - F ₁ = -m a . Since frame S₂ is accelerating relative to S₁ , a 0 . This implies F ₂ - F ₁ 0 , meaning

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