Question

What is the primary analogy between gravitational potential energy and electric potential energy for a system of two masses/charges in an external field?

Options

• Both involve only mutual interactions and no external field contributions

• Both have individual interactions with the external field and mutual interactions between the objects

• External fields do not affect gravitational systems

• Electric and gravitational potentials are identical in form

Answer 1

The analogy highlights that just as two masses in Earth's gravitational field have both individual potential energies (m1gh1 + m2gh2) and mutual gravitational PE, two charges in an external electric field have both individual interaction energies with the field (q1V(r1) + q2V(r2)) and mutual Coulombic interaction energy. This parallel structure illustrates the fundamental similarity between gravitational and electric systems.