Question

How far above the surface of the earth would you have to be before your weight is reduced by 12.29%?

Answer 1

with height , decrease in the value of "g" can be given as

g' = g (1 - 2h/R)                  h = height        , R = radius of earth

multiplying both side by "m"

mg' = mg (1 - 2h/R)  

given that , mg' = mg - 0.1229 mg = 0.8771 mg

0.8771 mg = mg (1 - 2h/R)  

2h/R = 0.1229

h = (R/2) 0.1229

h = (6.37 x 10⁶/2) (0.1229)

h = 3.91 x 10⁵ m