Find the gravitational potential energy of a system of eight identical masses, each of mass m , placed at the corners of a cube of side L .

Q: Find the gravitational potential energy of a system of eight identical masses, each of mass m , placed at the corners of a cube of side L .

(a) $-\frac{G m^2}{L}(12 + 6 \sqrt{2} + \frac{4}{\sqrt{3}}) $

(b) $-\frac{G m^2}{L}(12\sqrt{2} + \frac{4}{\sqrt{3}}) $

(c) $-\frac{G m^2}{L}(6 + 10 \sqrt{2} + \frac{2}{\sqrt{3}}) $

(d) $-\frac{G m^2}{L}(12 + 10 \sqrt{2} + \frac{4}{\sqrt{3}}) $

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Ans: (a)