ch37-p018 - 18. The coincidence of x = x' = 0 at t = t' = 0...

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(d) Similarly, ( )( ) () 88 2 2 2.50s 0.400 3.00 10 m / 2.998 10 m/s 3.16s. 1 0.400 vx tt c γ +×× ⎛⎞ =+= = ⎜⎟ ⎝⎠ 18. The “coincidence” of x = x' = 0 at t = t' = 0 is important for Eq. 37-21 to apply without additional terms. In part (a), we apply these equations directly with v = +0.400 c = 1.199 × 10 8 m/s, and in part (c) we simply change v v → − and recalculate the primed values. (a) The position coordinate measured in the S' frame is ( )( ) 5 22 3.00 10 m 1.199 10 m/s 2.50s 2.7 10 m 0, 1 1 0.400 xv t xx v t β ×− × =− = = = × where we conclude that the numerical result (2.7 × 10 5 m or 2.3 × 10 5 m depending on how precise a value of
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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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