How far above the Earth’s surface must we be before “g” has...

Question

How far above the Earth’s surface must we be before “g” has decreased significantly by dropping 10%?

Answer: 345 km

Answer 1

g ∝ 1/ (R + h)²

go ∝ 1/R²

 

g/g_o = R²/(R + h)²

 

Use g/g_o = 0.1

Radius of Earth = R = 6.37 x 10⁶ m

 

Substitute and solve.