For 10 points, name this form of energy contrasted with kinetic.
In Newtonian gravity, this quantity satisfies Poisson's equation. This quantity is equal to half the difference between the Hamiltonian and Lagrangian, and the operator for it is symbolized with a capital V. For a dipole, this quantity is given by negative the dipole moment (*) dotted with the electric field. In one form, this quantity is one-half charge times capacitance squared, and it is one-half k times the displacement squared in a spring. This quantity is mass times little g times height in its gravitational form. For 10 points, name this form of energy contrasted with kinetic.
In Newtonian gravity, this quantity satisfies Poisson's equation.
potential energy (prompt on energy; accept specific types like electrical potential energy or gravitational potential energy; do not accept or prompt on just “potential”)