A particle of mass $m$ is placed at the centre of a uniform spherical shell of same mass and radius $R$ . Find the gravitational potential at a distance $\frac{R}{2}$ from the centre.

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Solution

$V_{p} =$ due to particle $+$ due to shell
$= - \frac{G m}{R / 2} - \frac{G m}{R}$
$= - \frac{3 G m}{R}$

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A particle of mass m is placed at the centre of a uniform spherical shell of same mass and radius R. Find the gravitational potential at a distance R2 from the centre.

Vp=due to particle + due to shell =−GmR/2−GmR=−3GmR

A particle of mass $m$ is placed at the centre of a uniform spherical shell of same mass and radius $R$ . Find the gravitational potential at a distance $\frac{R}{2}$ from the centre.

$V_{p} =$ due to particle $+$ due to shell
$= - \frac{G m}{R / 2} - \frac{G m}{R}$
$= - \frac{3 G m}{R}$