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 1027 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 1012. "eV" stands for "electron volt," which is a non-Sl unit of energy equal to what one electron would gain after travelling through 1V. 1eV = 1.602 x 1019 J. **Special relativity is necessary to correctly account for the limiting speed of light, which is about 3 x 10° 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.
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 1027 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 1012. "eV" stands for "electron volt," which is a non-Sl unit of energy equal to what one electron would gain after travelling through 1V. 1eV = 1.602 x 1019 J. **Special relativity is necessary to correctly account for the limiting speed of light, which is about 3 x 10° 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.
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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