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Answer - Open Yale Courses
Physics200 Problem Set 7 SolutionQuickoverview:Althoughrelativity can be a little bewildering, this problem set uses just a few ideasover and over again, namely1. Coordinates (x, t) in one frame are related to coordinates (x , t ) in anotherframe by the Lorentz transformation Similarly, space and time intervals ( x, t) in one frame are related to inter-vals ( x , t ) in another frame by the same Lorentz transformation formu-las. Note that time dilation and length contraction are just special cases: itis time-dilation if x= 0 and length contraction if t= The spacetime interval ( s)2= (c t)2 ( x)2between two events is thesame in every Energy and momentum are always conserved, and we can make efficient useof this fact by writing them together in an energy-momentum vectorP=(E/c,p) with the propertyP2=m2c2.
Solution Quick overview: Although relativity can be a little bewildering, this problem set uses just a few ideas over and over again, namely 1. Coordinates (x;t) in one frame are related to coordinates (x0;t0) in another frame by the Lorentz transformation formulas. 2. Similarly, space and time intervals (¢x;¢t) in one frame are related to inter-
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