What is gravitational potential energy of system consisting of two concentric spherical shells of mass, m , and 4m and radii R and 2R .

Question

What is gravitational potential energy of system consisting of two concentric spherical shells of mass, m , and 4m and radii R and 2R . <img class="img-fluid question-image" alt="Question" src="https://cdn.tardigrade.in/q/nta/p-fiddlsrrkxb59uyc.jpg" /> (A) (- 2 G m2/R) (B) (- 9 G m2/2 R) (C) â(5 G m2/2 R) (D) â(13 G m2/2 R)

Tardigrade Admin · Accepted Answer

Total energy equals sum of self energy of two shells and their mutual energy.

Q. What is gravitational potential energy of system consisting of two concentric spherical shells of mass, $m$ , and $4 m$ and radii $R$ and $2 R$ .

$\frac{- 2 G m ^{2}}{R}$

$\frac{- 9 G m ^{2}}{2 R}$

$- \frac{5 G m ^{2}}{2 R}$

$- \frac{13 G m ^{2}}{2 R}$

Total energy equals sum of self energy of two shells and their mutual energy.

Q. What is gravitational potential energy of system consisting of two concentric spherical shells of mass, m , and 4m and radii R and 2R .

R−2Gm2​

2R−9Gm2​

−2R5Gm2​

−2R13Gm2​

Total energy equals sum of self energy of two shells and their mutual energy.

Q. What is gravitational potential energy of system consisting of two concentric spherical shells of mass, $m$ , and $4 m$ and radii $R$ and $2 R$ .

$\frac{- 2 G m ^{2}}{R}$

$\frac{- 9 G m ^{2}}{2 R}$

$- \frac{5 G m ^{2}}{2 R}$

$- \frac{13 G m ^{2}}{2 R}$