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# Lecture21 - ANNOUNCEMENTS Survey(CSEM Runs Until Saturday...

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ANNOUNCEMENTS Survey (CSEM) Runs Until Saturday, But Do It Now Tycho HW #7 Due Thursday, #8 Will Be Up Soon, Due Next Thursday May 28 Same for WebAssign, #7 Due Friday, #8 Coming Soon Exam #3 Friday May 29 Tycho #7 Now Has Only 8 Problems Rather Than 9

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MAXWELL-NEWTON CONFLICT You Look at a Star (S) While Riding in Fast Moving Rocket (R). What Speed Do You Measure For Incoming Light? Newton: v L/R  = v L/S  + v S/R v L/R   =  c   ±   u Maxwell: v L/R  = c = [1/ μ 0 ε 0 ] ½   If R Does Not Accelerate, μ 0 & ε 0 Can be Computed From Magnetic & Electric Force Measurements. Values Will Be Same as At Rest !
Newtonian Relativity Must Change! RELATIVE VELOCITY NEWTON: v C/A  = v B/A  + v C/B EINSTEIN: v C/A  = v B/A  + v C/B [1 + (v B/A  v C/B  / c 2 )] NOTE THAT EINSTEIN’S RESULT REDUCES TO NEWTON’S WHEN v B/A  AND v C/B    <<   c

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LORENTZ TRANSFORMATIONS FOR COMPARING DISTANCE & TIME MEASUREMENTS MADE BY DIFFERENT OBSERVERS x = {[1 –v 2 /c 2 ] - ½ }(x’+ vt’) y = y’ z = z’ t = {[1 –v 2 /c 2 ] - ½ }(t’+ vx’/c 2 ) x 2 +y 2 +z 2 –c 2 t 2 = x’ 2 +y’ 2 +z’ 2 –c 2 t’ 2
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Lecture21 - ANNOUNCEMENTS Survey(CSEM Runs Until Saturday...

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