A particle of mass m is located outside a uniform sphere of mass M a distance r from its centre- Find the potential energy of gravitational interaction of the particle and the sphere-displaystyle frac-2GMm-r-displaystyle frac-GMm-3r-displaystyle frac-GMm-r-displaystyle frac-GMm-2r-

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Toppr Admin · Accepted Answer

Since for a uniform solid sphere-VG-x2212-GMr -xA0-for r-xA0-and it is the work done to bring a unit mass from -x221E- to distance -apos-r-apos- from sphere-For mass -apos-m-apos-VG-x2212-GMmr which is the total potential energy of the system

A particle of mass $m$ is located outside a uniform sphere of mass $M$ at a distance $r$ from its centre. Find the potential energy of gravitational interaction of the particle and the sphere.
$\frac{- 2 G M m}{r}$
$\frac{- G M m}{3 r}$
$\frac{- G M m}{r}$
$\frac{- G M m}{2 r}$

Since for a uniform solid sphere,
$V_{G} = - \frac{G M}{r}$ for $r$
and it is the work done to bring a unit mass from $\infty$ to distance ' $r$ ' from sphere.
For mass ' $m$ '
$V_{G} = - \frac{G M m}{r}$ which is the total potential energy of the system

A particle of mass m is located outside a uniform sphere of mass M at a distance r from its centre. Find the potential energy of gravitational interaction of the particle and the sphere.−2GMmr−GMm3r−GMmr−GMm2r

Since for a uniform solid sphere,VG=−GMr for r and it is the work done to bring a unit mass from ∞ to distance 'r' from sphere.For mass 'm'VG=−GMmr which is the total potential energy of the system

A particle of mass $m$ is located outside a uniform sphere of mass $M$ at a distance $r$ from its centre. Find the potential energy of gravitational interaction of the particle and the sphere.
$\frac{- 2 G M m}{r}$
$\frac{- G M m}{3 r}$
$\frac{- G M m}{r}$
$\frac{- G M m}{2 r}$

Since for a uniform solid sphere,
$V_{G} = - \frac{G M}{r}$ for $r$
and it is the work done to bring a unit mass from $\infty$ to distance ' $r$ ' from sphere.
For mass ' $m$ '
$V_{G} = - \frac{G M m}{r}$ which is the total potential energy of the system