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Variation of g due to height i.e.. altitude
Let us consider the earth to be a perfect sphere of radius R and
mass M. Let g be the value of acceleration due to gravity at point A
on the surface of earth which is given by: B
g = ....................(i)
A
Let g’ be the acceleration due to gravity at point B at a height of h
above the surface of the earth, as shown in figure.
g’ = …………..(ii)
+
Dividing equation (ii) by equation (i)
g’ −
= = = +
+ +
Fig: Acceleration due to gravity at a height h
−
∴ g’ = g +
