First slide

Variation of g

Question

The value of g will be 1% of its value at the surface of earth at a height of (R_e = 6400 km) :

Moderate

A

6400 km
B

57600 km
C

2560 km
D

64000 km

Solution

$g = \frac{g_{0} R^{2}}{{(R + h)}^{2}} \Rightarrow h = R (\sqrt{\frac{g_{0}}{g}} - 1) = 6400 \times (\sqrt{\frac{1}{0.01}} - 1) = 57600 km$

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