For an ideal gas, it equals three-halves times Boltzmann's constant times temperature.  
In quantum position space, this quantity's operator is given by the Laplacian of the wavefunction times negative h-bar squared over 2 times the mass. Relativistically, this quantity may be calculated as the Lorentz gamma factor minus one times the mass and the speed of light squared. The average amount of this quantity per degree of freedom for a molecule in translational motion is found using the (*) equipartition theorem. For an ideal gas, it equals three-halves times Boltzmann's constant times temperature.  Classically, work is equal to the change in this quantity, from which a term symbolized V is subtracted in the Lagrangian. For 10 points, name this type of energy, calculated as one-half mass times velocity squared, and possessed by objects in motion. 
In quantum position space, this quantity's operator is given by the Laplacian of the wavefunction times negative h-bar squared over 2 times the mass.
kinetic energy [prompt on "energy"] 