ch37-p052 - 52(a Squaring Eq 37-47 gives c h 2mc K K E 2 =...

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(b) At low speeds, the pre-Einsteinian expressions p = mv and Km v = 1 2 2 apply. We note that pc K >> at low speeds since c v in this regime. Thus, m mvc mv mv c mvc mv c m ≈= b g ch c h b g c h 2 1 2 2 2 1 2 22 2 1 2 . (c) Here, pc = 121 MeV, so m c = = 121 55 255 1056 2 b g .. MeV / c 2 Now, the mass of the electron (see Table 37-3) is m e = 0.511 MeV/c 2 , so our result is roughly 207 times bigger than an electron mass, i.e.,
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