ch37-p025

# ch37-p025 - 25. (a) Using Eq. 2 of Table 37-2, we have vx x...

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Note the limits of the vertical axis are +2 µ s and –2 µ s. We note how “flat” the curve is in this graph; the reason is that for low values of β , Bullwinkle’s measure of the temporal separation between the two events is approximately our measure, namely +1.0 µ s. There are no non-intuitive relativistic effects in this case. (c) A plot of t as a function of β in the range 0.1 1 < < is shown below: 25. (a) Using Eq. 2 of Table 37-2, we have 6 2 8 (400m) '1 . 0 0 1 0 s 2.998 10 m/s vx x tt t cc ββ ⎛⎞ ∆∆ ∆= γ∆− = = γ × ⎜⎟ × ⎝⎠ where the Lorentz factor is itself a function of β (see Eq. 37-8). (b) A plot of t as a function of in the range 0 0.01 < < is shown below:

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(as the speed approaches that of light) becomes progressively more negative. For the lower speeds with t > 0 t A < t B 0 0.750 β < < , according to Bullwinkle event A occurs before event B just as we observe. (f) For the higher speeds with t < 0 t A > t B 0.750
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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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ch37-p025 - 25. (a) Using Eq. 2 of Table 37-2, we have vx x...

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