How far above the surface of the earth would you have to be before your weight...

Question

Question

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

Answer 1

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

Answer 2

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