(*)
A form of this may be derived for a system of particles by taking the ensemble average of the second velocity moment of a general particle system's corresponding Klimontovich equation. (*) Noether's theorem dictates that this holds for a system whose governing equation is form invariant under continuous point time transformation groups. Familiar forms of it for various systems include Poynting's theorem, Bernoulli's equation, and the first law of thermodynamics. For 10 points, give the general physical term for the statement that a system's ability to do work does not vary.
A form of this may be derived for a system of particles by taking the ensemble average of the second velocity moment of a general particle system's corresponding Klimontovich equation.
{conservation} of {energy} [accept close equivalents the {first law} of {thermodynamics} before it’s mentioned; accept {energy equation}s]