p38_014 - 14. The coincidence of x = x = 0 at t = t = 0 is...

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14. The “coincidence” of x = x 0 =0at t = t 0 = 0 is important for Eq. 38-20 to apply without additional terms. In part (a), we apply these equations directly with v =+0 . 400 c =1 . 199 × 10 8 m / s,andinpart(b) we simply change v →− v and recalculate the primed values. (a) The position coordinate measured in the S 0 frame is x 0 = γ ( x vt )= x p 1 β 2 = 3 . 00 × 10 8 m (1 . 199 × 10 8 m / s)(2 . 50 s) p 1 (0 . 400) 2 =2 . 7 × 10 5 m / s 0 , where we conclude that the numerical result (2 . 7 × 10 5 or 2 . 3 × 10 5 depending on how precise a value of v is used) is not meaningful (in the signiFcant Fgures sense) and should be set equal to zero (that is, it is “consistent with zero” in view of the statistical uncertainties involved). The time
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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.

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