A satellite of mass m is moving in a circular orbit of radius R above the surface of a planet of mass M and radius R. The amount of work done to shift the satellite to higher orbit of radius 2R is

Options :
  1. mgR
  2. mgR/6
  3. mMgR/(M+m)
  4. mMgR/6(M+m)
Answer and Explanation :-

Answer: Option 2

Explanation:

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We join spokes together in a wheel, but it is the center hole that makes the wagon move.We shape clay into a pot, but it is the emptiness insidethat holds whatever we want.We hammer wood for a house, but it is the inner spacethat makes it livable.We work with being, but non-being is what we use.
-Lao Tzu