lecture 40 - Lorentz transformations 2

lecture 40 - Lorentz transformations 2 -...

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Announcements 4/8/11 Prayer a. 5 extra credit points for volunteering, 10 points if I pick you b. Applications due this afternoon, 5 pm Definitions: v c β= 2 1 1 γ β = - Lorentz transformations: 2 1 x x ct ct γβ ±  = ÷ ÷ ÷ ±  (can also write time on top on both sides, since matrix is symmetric) 2 1 1 2 1 1 ( ) ( ) x x ct ct x ct = ± = ± +
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Lee is standing on a train going past Cathy (on  the ground) at +0.5 c. John is also on the train,  running past Lee at +0.5 c (relative to Lee).  Draw a space-time diagram from Lee’s point of  view. Draw a space-time diagram from Cathy’s point of  view (roughly). --Lorentz program-- What is slope of John’s worldline, in Cathy’s  point of view? What is velocity of John with respect to Cathy?
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