Weight On Mount Everest

While your mass is the same everywhere, your weight, which is the gravitational force you feel as a result of your mass, depends on where you are.

How much lighter are you on the top of Mount Everest than at sea level? Express your answer as the ratio of your weight on Mount Everest to your weight at sea level, to 3 decimal places.

Assume the radius of Earth at sea level is \(6.371 \times 10^6 \text{ m} \) and the height of Mt. Everest is \(8.8 \times 10^3 \text{ m} \).

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