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

Question

Physics

Moss

5 May, 08:55

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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Answers (1)

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Lawson Evans · Answer 1

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