Where will a body weigh more 1 km above the surface of the earth or 1 km below the surface of the earth?

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Solution

Acceleration due to gravity at a height h is

g' = g[1 - 2h/R]
Acceleration due to gravity at depth h is

g'' = g[1 - h/R]
From above two equations it's clear that acceleration due to gravity at depth h is more than that at height h

Therefore weight of the body will be more at depth of 1 km.

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Where will a body weigh more 1 km above the surface of the earth or 1 km below the surface of the earth?

Acceleration due to gravity at a height h is g' = g[1 - 2h/R] Acceleration due to gravity at depth h is g'' = g[1 - h/R] From above two equations it's clear that acceleration due to gravity at depth h is more than that at height h Therefore weight of the body will be more at depth of 1 km.

Acceleration due to gravity at a height h is

g' = g[1 - 2h/R]
Acceleration due to gravity at depth h is

g'' = g[1 - h/R]
From above two equations it's clear that acceleration due to gravity at depth h is more than that at height h

Therefore weight of the body will be more at depth of 1 km.