Find the potential energy of a system of eight particles placed at the vertices of a cube of side L. neglect the self energy of the particles.

Answer

`(-4GM^(2))/(L)[3+(3)/(sqrt(2))+(1)/(sqrt(3))]`

Explanation

no. of pairs of P.E. can be calculated by using
`=.^(n)C_(@)=(n(n-1))/(2)=38`
where n is the no. of mass particles.
out of 28 pairs.
`12to` sides of cubes
`12to` face diagonal
`12to` body diagonal