At what height above the surface of earth the value of g decreases by 2% (radius of the earth is 6400 km)
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Explanation:
g = GM/R²
g' = GM/R'²
R'²/R² = g/g' = 1/0.98
R'/R = √100/98 = 5√2/7
R' = 5√2R/7
height = R' - R = R ( 5√2 - 7)/7 = 6400( 5√2 - 7)/7 km = 64.976 km
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