Antihydrogen is the only antimatter element that has been produced in the laboratory, albeit just a few atoms at a time. Each antihydrogen atom consists of a positron in orbit around an antiproton and has the same atomic mass as hydrogen. If an antihydrogen atom collides with a hydrogen atom, they annihilate each other and create gamma radiation.

(a) What minimum amount of energy is released in this process?

(b) If this energy could be harnessed in a matter-antimatter automobile engine, how far could a car travel on \(10 \mathrm{mg}\) each of antihydrogen and hydrogen? At highway speeds, a typical automobile expends about \(2.5 \times 10^{3} \mathrm{~J}\) per meter.