Question: Problem 5 [Special Relativity, 20 points] Consider a proton at the peak energy of the Large Hadron Collider (LHC). The protons in the LHC have

Problem 5 [Special Relativity, 20 points] Consider a proton at the peak energy of the Large Hadron Collider (LHC). The protons in the LHC have a maximum energy in the lab frame of 6.7 TeV. (a) What is the rest energy of a proton in ev? [6 pts] (b) What is the Lorentz factor y required to transform from the lab frame into rest frame of the proton? [7 pts] (c) What is the momentum of the proton in the lab frame? [7 pts] (d) BONUS: What is the de Broglie wavelength of this particle? [5 pts]

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