ATP is a source of this in cells, and another type has the formula one-half mass velocity squared.
The sum of two types of this quantity is given by the Hamiltonian and its "internal" type is symbolized U. Reactions are spontaneous when there is a negative value for a "free" type named for Gibbs. One type is given by negative big G mass 1 mass 2 all divided by radius, or by mgh. ATP is a source of this in cells, and another type has the formula one-half mass velocity squared. For 10 points, name this quantity measured in joules, which has kinetic and potential types.
The sum of two types of this quantity is given by the Hamiltonian and its "internal" type is symbolized U. Reactions are spontaneous when there is a negative value for a "free" type named for Gibbs.
{energy} [do not prompt on any more specific answers than that]