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BITSAT2020PhysicsGravitationActual

The potential energy of a satellite of mass m and revolving at a height R _ e above the surface of earth where R _ e = radius of earth, is

Options

  1. A- m g R _ e
  2. B- mg R _ e 2
  3. C- mg R _ e 3
  4. D- mg R _ e 4

Correct answer

B. - mg R _ e 2

Step-by-step solution

At a height h above the surface of earth the gravitational potential energy of the particle of mass m is U _ h =- GM _ e m R _ e + h Where M_ e & R_ e are the mass & radius of earth respectively. In this question, since h = R _ e So U_ h-R_ e =- G M_ e m 2 R_ e = -m g R_ e 2

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