APFIVE Gravitational Potential Energy of a System
Five identical masses $m$ are placed at the vertices of a regular pentagon with side length $s$. If the gravitational potential energy between each pair is $-Gm^2/r$ (where $r$ is the distance between the masses), which statement about the total potential energy $U$ of the system is correct?
A
U = -Gm²/s × (5 + 5/φ)
B
U = -5Gm²/s
C
U = -Gm²/s × (5 + 5/sin(72°))
D
U = -10Gm²/s
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