Question 218: Gravitation

Question

Average density of the earth

Accepted Answer

Mass of earth = Volume $ 	imes $ Density of earth($ho$)
$	herefore$ M = ${{4 \over 3}\pi {R^3}} $$ 	imes $ $ho $
We know, $g = {{GM} \over {{R^2}}}$
$ \Rightarrow g = {{G 	imes ho  	imes {4 \over 3}\pi {R^3}} \over {{R^2}}}$
$ \Rightarrow $ $g = {4 \over 3}ho \pi GR$
$	herefore$ $g \propto ho $ or $ho \propto g$

Answer

is a complex function of $g$

Answer

does not depend on $g$

Answer

is inversely proportional to $g$

Answer

is directly proportional to $g$

Gravitation

Average density of the earth

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