Electromagnetic radiation is emitted by accelerat- ing charges. The rate at which energy is emitted from an accelerating charge that has charge q and acceleration a is given by 32.51 q 2 a 2 dE = dt 6pP 0 c 3 where c is the speed of light. (a) Verify that this equation is dimension- ally correct. (b) If a proton with a kinetic energy of 6.0 MeV is traveling in a particle accelerator in a circular orbit of radius 0.750 m, what frac- tion of its energy does it radiate per second? (c) Consider an electron orbiting with the same speed and radius. What fraction of its energy does it radiate per second?