Particles accelerators such as the Large Hadron Collider (LHC) can accelerate particles up to tremendous energies. Suppose the LHC accelerates alpha particles (a.k.a. helium nuclei with a charge of +2e and a mass of 6.645 x 10^-27 kg) with a kinetic energy of 7.5 TeV*, what would the speed of one particle be if relativistic effects** are ignored?Give your answer in units of Gm/s.*T as in Tera, for 10^12. “eV” stands for “electron volt,” which is a non-SI unit of energy equal to what one electron would gain after travelling through 1V. 1eV = 1.602 x 10^-19 J.**Special relativity is necessary to correctly account for the limiting speed of light, which is about 3 x 10^8 m/s. Note that in ignoring this effect and applying Newtonian mechanics (what you learned in Phys1210 or equivalent), you’ll be getting a speed way above 0.3 Gm/s. That’s just how insanely energetic the LHC is.

Mass of alpha particles (m) = 6.645×10-27 kg Kinetic energy (E) = 7.5 TeV

Answered: Particles accelerators such as the…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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