STANDARD Physics Energy of Satellite MCQ Question
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
GmM (1/R₁ - 1/R₂)
GmM (1/R₁ - 1/R₂)
2GmM (1/R₁ - 1/R₂)
1/2 GmM (1/R₁ - 1/R₂)
Correct Answer
Detailed Explanation
The total energy of the orbiting satellite is E = -GMm/2r. The additional kinetic energy required is the difference in energy between the two orbits, K = E₁ - E₂ = GmM (1/R₁ - 1/R₂).
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