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How many kilometers would you have to go above the surface of the earth for your...

How many kilometers would you have to go above the surface of the earth for your weight to decrease to half of what it was at the surface?

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Answer #1

Mass of the earth = M ,Radius= R ,G = Universal gravitational constant

weight of an object of mass(m) = Earth's pull gravitational force on the object

At height H from the earth's surface, weight of the object

  

from 1 and 2 equations

Height(H) at which weight of the object for its weight to be



Given that

Radius of the earth (R)=6.4× m

on substituting in equation 3

H=6.4× (√2−1)

≈2.651× m

= 2651 kilometres

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