At what height above the surface of earth acceleration due to gravity reduced by 1% of its value at the earth's surface
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concept of gravitation
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Answer:
h = 32 km
Explanation:
gh = g/(1 + h/R)^-2
gh = g(1 + h/R)^-2
If h∠∠∠R then
gh = g (1 - 2h/R)
gh = g-2gh/R
gh - g = -2gh/R
Δg/g*100 = -2h/R * 100%
Applicable for small % change,
If Δg/g * 100 = -1
-1 = -2h/6400*10^3 *100
h = 32 * 10^3 * 100
h = 32 km
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