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16 October, 03:27

At what height above earth's surface is the gravitational acceleration reduced from its sea-level value by 0.40%?

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  1. 16 October, 03:40
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    At sea level, you're 6400 km away from the earth's center. Where gravity is 0.4 fewer,

    in other words 0.6 its sea level value, you're x km from the center, where:

    (6400 / x) ^ 2 = 0.6)

    Take note that gravity is an opposite square force.

    So 6400 / x = 0.7746

    so x = 8262 km from the Earth's center

    so you're 8262 - 6400 = 1862 km above the Earth's surface
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