The acceleration due to gravity at a place is 0.2 m/s2 find its height above the earths surface
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Formula of acceleration due to gravity at a height (h) is
g’ = g * [r / (r + h)]^2
0.2 = 9.8 * [r / (r + h)]^2
[r / (r + h)]^2 = 1/49
r / (r + h) = 1/7
7r = r + h
h = 6r
If radius of earth (r) is 6400km then Height (h) is 6 * 6400km = 38400 km
g’ = g * [r / (r + h)]^2
0.2 = 9.8 * [r / (r + h)]^2
[r / (r + h)]^2 = 1/49
r / (r + h) = 1/7
7r = r + h
h = 6r
If radius of earth (r) is 6400km then Height (h) is 6 * 6400km = 38400 km
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