Question H3.2: Find (a) the rest energy of an electron and (b) its total en...
Find (a) the rest energy of an electron and (b) its total energy, when it moves at a speed equal to 0.800 c.
(a) The rest energy is
\begin{aligned}E &=m_{0} c^{2} \\&=9.1 \times 10^{-31} \times 9 \times 10^{16} J \\&=8.19 \times 10^{-14} J \\&=\frac{8.19 \times 10^{-14}}{1.6 \times 10^{-19}} eV \\&=0.511 MeV\end{aligned}(b) The gamma factor at a speed of 0.80 c is
\gamma=\frac{1}{\sqrt{1-\frac{ v ^{2}}{c^{2}}}}=\frac{1}{\sqrt{1-0.8^{2}}}=\frac{1}{0.6}=1.667and so the total energy is
E=\gamma m_{0} c^{2}=1.667 \times 0.511 MeV =0.852 MeVRelated Answered Questions
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