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NEET2016PhysicsGravitationActual

The additional kinetic energy to be provided to a satellite of mass m revolving around a planet of mass M to transfer it from a circular orbit of radius R₁ to another of radius R₂ (R₂>R₁ ) is

Options

  1. AG m M ( 1 R₁^2 - 1 R₂^2 )
  2. BG m M ( 1 R₁ - 1 R₂ )
  3. C2 G m M ( 1 R₁ - 1 R₂ )
  4. D1 2 G m M ( 1 R₁ - 1 R₂ )

Correct answer

D. 1 2 G m M ( 1 R₁ - 1 R₂ )

Step-by-step solution

aligned & As - G M m 2 R₁ + KE = -G M m 2 R₂ & KE = 1 2 G M m ( 1 R₁ - 1 R₂ ) . aligned

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