Walker, Halliday & Resnick — Measurement: Problem 28

28 Einstein’s mass–energy equation relates mass \(m\) to energy \(E\) as \(E = mc^2\), where \(c\) is speed of light in vacuum. The energy at nuclear level is usually measured in MeV, where \(1 \text{ MeV} = 1.602\ 18 \times 10^{-13} \text{ J}\); the masses are measured in unified atomic mass unit (u), where \(1 \text{ u} = 1.660\ 54 \times 10^{-27} \text{ kg}\). Prove that the energy equivalent of \(1 \text{ u}\) is \(931.5 \text{ MeV}\).