$8.$ Electromagnetic radiation is emitted by accelerating charges. The rate at which energy $($E$)$ is emitted from an accelerating charge that has charge q and acceleration a is given by d E$/$d t$=$ q$^2$ a$^2/4$ $\_0$ c$^3$ where c is the speed of light.

If a proton with a kinetic energy of $6\mathrm{.}3$ MeVMeV is traveling in a particle accelerator in a circular orbit with a radius of $0\mathrm{.}570$ mm$,$ what fraction of its energy does it radiate per second?

Consider an electron orbiting with the same speed and radius. What fraction of its energy does it radiate per second?