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Integrated Concepts (a) Calculate the relativistic quantity $\gamma=\frac{1}{\sqrt{1-v^{2} / c^{2}}}$ for1.00 -TeV protons produced at Fermilab. (b) If such a proton created a $\pi^{+}$ having the same speed, how long would its life be in the laboratory? (c) How far could it travel in this time?

a. $1.066 \times 10^{3}$b. $2.77 \times 10^{-5} \mathrm{s}$c. 831 $\mathrm{m}$

Physics 103

Chapter 33

Particle Physics

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Simon Fraser University

University of Sheffield

Lectures

02:51

In physics, wave optics is…

10:02

Interference is a phenomen…

02:43

(a) Calculate the relativi…

02:17

Integrated Concepts Plans …

03:31

Plans for an accelerator t…

02:06

(a) Find the relativistic …

02:25

At full energy, protons in…

03:54

(a) Calculate $\gamma$ for…

07:33

Integrated Concepts(a)…

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Integrated Concepts Suppos…

02:22

The cosmic rays of highest…

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The synchrotron at the Fer…

05:50

Whe cosmic rays of highest…

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Consider electrons acceler…

03:44

The factor $\gamma$ appear…

03:17

The pion $\pi^{+}$ has a r…

02:37

The Pi Meson An elementary…

01:28

33.3 Accelerators Create M…

07:27

02:32

(a) How much energy would …

03:18

What is the velocity, as a…

05:18

A cosmic-ray proton enteri…

I want to know what is the gamma factor for, Ah, one TV problem. So we have the gamma far factor can be found because you know the total energy and the rest mass. So we have the race will begin little, though I avenge energy and the rest mass And this this one TV divided by 9.38 times 10 to the minus four PV And then we have that This is one point. Your six times dented it. So there's a stigma factor. This is incredibly huge. So this part was almost at the speed of life. I want to know if there is a creation off by Plus we have some speed. How long will be the lifetime in a lab? Our laboratory. So the trial will be dilated, that delivery. So we have the rest decay time, Toby. 2.6 times 10 to the minus eight seconds and then in the laboratory frame that is not the rest. From off the part to this decay will be this time be violated by the governor factor. And then this is What about your six times stent? The three times 2.6 extend to the minus paid. And then the time is 2.76 time spent in the manage five sevens. Finally, we want to know for part See how far I travel so far for this part. We want to know what is the velocity because they're gonna factor is so large velocities approximately you see, so you can use that. So he has that the distance is C apartment C times Delta t And then they resist the point times the eight times the time that we computed before And this gives a distance. Oh, 8.28 kilometers.

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