Calculate the classical momentum of a electron traveling at 0.994c, neglecting relativistic effects. (Use 9.11 ✕ 10−31 for the mass of the electron.) kg · m/s
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(a) Calculate the classical momentum of a electron traveling at 0.994c, neglecting relativistic effects. (Use 9.11 ✕ 10−31 for the mass of the electron.)
kg · m/s
(b) Repeat the calculation while including relativistic effects.
kg · m/s
(c) Does it make sense to neglect relativity at such speeds?
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- Starting with the definitions of relativistic energy and momentum, show that E2 =P2c2 +m2c4 (Eq. 26.13).A relativistic proton has a momentum of 1.0 × 10-17 kg ∙ m/s and a rest energy of 0.15 nJ. What is the kinetic energy of this proton? (c = 3.00 × 108 m/s, mproton = 1.67 × 10-27 kg)Protons in a University accelerator are accelerated to a kinetic energy of 16 times their rest energy. (a) What is the relativistic factor gamma for these protons? (b) What is the speed of these protons? (express in terms of c, the speed of light) (c) What is their kinetic energy in MeV? (d) What is the rest energy of the protons? (e) What is their momentum in MeV/c?
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