A particle has γ=2,865.  a) Calculate c-v in m/s. If your calculator gives problems, you might want to solve the appropriate equation for c-v or c(1 - v/c) and use an approximation. b) In the previous problem, in a race to the moon, by 3/4ths the distance, light is one or ten meters ahead of the particle.  We routinely approximate mass as zero, gamma as infinite, and speed as the speed of light.  ("Massless particles" -- gamma and m have to be eliminated from the expressions.  Light is a true massless particle.) If a massless particle has momentum 2,910 MeV/c, calculate its energy in MeV.

Modern Physics
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Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
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Chapter1: Relativity I
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Problem 13P: The muon is an unstable particle that spontaneously decays into an electron and two neutrinos. If...
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A particle has γ=2,865. 

a) Calculate c-v in m/s.

If your calculator gives problems, you might want to solve the appropriate equation for c-v or c(1 - v/c) and use an approximation.

b) In the previous problem, in a race to the moon, by 3/4ths the distance, light is one or ten meters ahead of the particle.  We routinely approximate mass as zero, gamma as infinite, and speed as the speed of light.  ("Massless particles" -- gamma and m have to be eliminated from the expressions.  Light is a true massless particle.)

If a massless particle has momentum 2,910 MeV/c, calculate its energy in MeV.

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