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