Draw graphs showing the variation of acceleration due to gravity with (a) height above the earth's surface, (b) depth below the earth's surface.

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Solution

a)The value of $g$ varies with height as
$g \propto {(\frac{1}{R + h})}^{2}$ or $g \propto \frac{1}{r^{2}}$
b) The value of $^{'} g^{'}$ varies with depth as
$g_{d} = g (1 - \frac{d}{R}) g_{d} \propto (R - d)$

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Draw graphs showing the variation of acceleration due to gravity with (a) height above the earth's surface, (b) depth below the earth's surface.

a)The value of g varies with height as g∝(1R+h)2 or g∝1r2b) The value of ′g′ varies with depth as gd=g(1−dR)gd∝(R−d)

a)The value of $g$ varies with height as
$g \propto {(\frac{1}{R + h})}^{2}$ or $g \propto \frac{1}{r^{2}}$
b) The value of $^{'} g^{'}$ varies with depth as
$g_{d} = g (1 - \frac{d}{R}) g_{d} \propto (R - d)$