17. (a) We take the ﬂashbulbs to be at rest in frame S ,andletframe S0 be the rest frame of the second observer. Clocks in neither frame measure the proper time interval between the ﬂashes, so the full Lorentz transformation (Eq. 38-20) must be used. Let t s be the time and x s be the coordinate of the small ﬂash, as measured in frame S . Then, the time of the small ﬂash, as measured in frame S0 ,is t0 s = γ µ t s − βx s c ¶ where β = v/c =0 . 250 and γ =1 / p 1 − β 2 =1 / p 1 − (0 . 250) 2 =1 . 0328. Similarly, let t b be the time and x b be the coordinate of the big ﬂash, as measured in frame S . Then, the time of the big
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This note was uploaded on 11/12/2011 for the course PHYS 2001 taught by Professor Sprunger during the Fall '08 term at LSU.