As a research scientist at a linear accelerator, you are
Chapter 37, Problem 37.65(choose chapter or problem)
As a research scientist at a linear accelerator, you are studying an unstable particle. You measure its mean lifetime t as a function of the particles speed relative to your laboratory equipment. You record the speed of the particle u as a fraction of the speed of light in vacuum c. The table gives the results of your measurements. u,c 0.70 0.80 0.85 0.88 0.90 0.92 0.94 t 1108 s2 3.57 4.41 5.02 5.47 6.05 6.58 7.62 (a) Your team leader suggests that if you plot your data as 1t22 versus 11 - u2>c2 2-1 , the data points will be fit well by a straight line. Construct this graph and verify the team leaders prediction. Use the best-fit straight line to your data to calculate the mean lifetime of the particle in its rest frame. (b) What is the speed of the particle relative to your lab equipment (expressed as u>c) if the lifetime that you measure is four times its rest-frame lifetime?
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