Question

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?

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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