High energy collisions of heavy nuclei permit the study of nuclear matter at temperatures and energy densities so high the fundamental theory for strong interactions, QCD, predicts a phase transition to a plasma of quarks and gluons. This matter, called a Quark Gluon Plasma (QGP), has been studied experimentally for the last decade and has been observed to be a strongly interacting liquid with a low viscosity. The measurement of the energy observed transverse to the beam provides a measurement of the energy density of the QGP. The low momentum tracking and particle identification capabilities of the ALICE detector allow precision measurements of this energy density and novel measurements of the way this energy is distributed in the event.