The gravitational field due to a mass distribution is $E = K/{x^3}$ in the $X-$direction. ($K$ is a constant). Taking the gravitational potential to be zero at infinity, its value at a distance $X$ is
The gravitational field due to a mass distribution is $E = K/{x^3}$ in the $X-$direction. ($K$ is a constant). Taking the gravitational potential to be zero at infinity, its value at a distance $X$ is
$K/x$
$K/2x$
$K/{x^2}$
$K/2{x^2}$
The gravitational field due to a mass distribution is $E = K/{x^3}$ in the $X-$direction. ($K$ is a constant). Taking the gravitational potential to be zero at infinity, its value at a distance $X$ is
Gravitational potential $ = \int_{}^{} {I\;dx = \int_x^\infty {} \frac{K}{{{x^3}}}dx} $
$ = K\,\left( {\frac{{{x^{ - 3 + 1}}}}{{ - 3 + 1}}} \right)_x^\infty = \left| {\frac{{ - K}}{{2{x^2}}}} \right|_x^\infty = \frac{K}{{2{x^2}}}$
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