Transcription of Solved Problems in Special Relativity
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Solved Problems in Special RelativityCharles Asman, Adam Monahan and Malcolm McMillanDepartment of Physics and AstronomyUniversity of British Columbia,Vancouver, British Columbia, CanadaFall 1999; revised 2011 by Malcolm McMillanGiven here are solutions to 24 Problems in Special solutions were used as a learning-tool for students in the introductory undergraduate course Physics200 Relativity and Quantagiven by Malcolm McMillan at UBC during the 1998 and 1999 Winter solutions were prepared in collaboration with Charles Asman and Adam Monaham who were graduatestudents in the Department of Physics at that Problems are from Chapter 1 Relativityof the course textModern Physicsby Raymond A. Serway,Clement J. Moses and Curt A. Moyer, Saunders College Publishing, 2nd ed., (1997).Standard Inertial FramesWe use the standard inertial framesSandS which are set up such that thexandx axes coincide andtheyandy axes andzandz axes are parallel.
Muon Decay: Time Dilation (\Moving Clocks Run Slow") Problem 1.14, page 46 The muon is an unstable particle that spontaneously decays into an electron and two neutrinos. If the number of muons at t= 0 is N 0, the number Nat time tis N= N 0e t=˝ (11) where ˝= 2:20 s is the mean lifetime of the muon. Suppose the muons move at speed 0:95c.
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