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JEE Main2016PhysicsGravitationActual

An astronaut of mass m is working on a satellite orbiting the earth at a distance h from the earth's surface. The radius of the earth is R , while its mass is M . The gravitational pull F G on the astronaut is

Options

  1. AZero since astronaut feels weightless
  2. BG M m R + h 2 < F G < G M m R 2
  3. CF G = G M m R + h 2
  4. D0 < F G < G M m R 2

Correct answer

C. F G = G M m R + h 2

Step-by-step solution

As distance of the astronaut from the centre of the Earth is = R + h Therefore, gravitational force = G m 1 m 2 R + h 2 = G M m R + h 2

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