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12 April, 20:50

At what height above the ocean the acceleration of gravity of the earth will have a value of 9.3m / s^2?

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  1. 12 April, 21:14
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    160 km

    Explanation:

    g = 9.8 m/s^2, g' = 9.3 m/s^2

    Let h be the height from ocean level.

    Use the formula for acceleration due to gravity at height.

    g' = g (1 - 2h/R)

    The radius of earth is 6400 km

    9.3 = 9.8 (1 - 2 H / R)

    0.05 = 2 h/R

    h = 0.05 * 6400 / 2 = 160 km
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