After being created in a high-energy particle accelerator, a pi meson at rest has an average lifetime of 2.60 10-8 s. Traveling at a speed very close to the speed of light, a pi meson travels a distance of 127 m before decaying. How fast is it moving? (Enter your answer to four significant figures.)
From time dilation,
V = 1/sqrt[(t/d)^2 + (1/c)^2]
V = 1/sqrt[(2.6 x 10^-8/127)^2 + (1/3 x 10^8)^2]
V = 1/sqrt(1.12 x 10^-17)
V = 1/3.3396 x 10^-9
V = 2.994 x 10^8 m/s = 0.998c
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After being created in a high-energy particle accelerator, a pi meson at rest has an average...
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