Q. An astronaut whose height is floats "feet down" in an orbiting space shuttle at distance away from the centre of Earth. The magnitude of difference between the gravitational acceleration at her feet and at her head is found to be . What is the value of ?
[mass of earth and

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Answer: 18

Solution:

The gravitational acceleration at any distance from the centre of the earth is
On differentiating, we get where is an infinitesimal change due to differential change in