Ch37-p016 - 16 The coincidence of x = x = 0 at t = t = 0 is important for Eq 37-21 to apply without additional terms We label the event coordinates

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16. The “coincidence” of x = x' = 0 at t = t' = 0 is important for Eq. 37-21 to apply without additional terms. We label the event coordinates with subscripts: ( x 1 , t 1 ) = (0, 0) and ( x 2 , t 2 ) = (3000 m, 4.0 × 10 –6 s). (a) We expect ( x' 1 , t' 1 ) = (0, 0), and this may be verified using Eq. 37-21. (b) We now compute ( x' 2 , t' 2 ), assuming v = +0.60 c = +1.799 × 10 8 m/s (the sign of v is not made clear in the problem statement, but the Figure referred to, Fig. 37-9, shows the motion in the positive x direction). 86 3 2 22 68 6 2 3000 m (1.799 10 m/s)(4.0 10 s) 2.85 10 m 1 1 (0.60) 4.0 10 s (0.60)(3000 m)/(2.998 10 m/s) 2.5 10 s 1 1 (0.60) xv t x tx c t β −− × × == = × −× × =
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This note was uploaded on 06/03/2011 for the course PHY 2049 taught by Professor Any during the Spring '08 term at University of Florida.

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