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The very massive Higgs particle (mass $125 \mathrm{GeV} / \mathrm{c}^{2}$ ) is created when two protons traveling at equally high speeds but in opposite directions collide head-on. The mass of a proton is $938.27 \mathrm{MeV} / c^{2}$. In order to make a Higgs particle when they collide, each proton must have a minimum kinetic energy of $62.5 \mathrm{GeV}$. (a) What is the minimum total energy of each proton? (b) In terms of the speed of light $c$, what speed is each proton traveling? Calculate the total energy and speed to five significant figures.

          The very massive Higgs particle (mass $125 \mathrm{GeV} / \mathrm{c}^{2}$ ) is created when two protons traveling at equally high speeds but in opposite directions collide head-on. The mass of a proton is $938.27 \mathrm{MeV} / c^{2}$. In order to make a Higgs particle when they collide, each proton must have a minimum kinetic energy of $62.5 \mathrm{GeV}$. (a) What is the minimum total energy of each proton? (b) In terms of the speed of light $c$, what speed is each proton traveling? Calculate the total energy and speed to five significant figures.

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Added by Angela M.

University Physics with Modern Physics

Hugh D. Young 14th Edition

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Solved by Expert Manish Jain

12/19/2021

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Given: Mass of Higgs particle, $m = 125 \, \text{GeV}/c^2$ Minimum kinetic energy of each proton, $KE = 62.5 \, \text{GeV}$ Mass of a proton, $m_p = 938.27 \, \text{MeV}/c^2 = 0.93827 \, \text{GeV}/c^2$ The total energy of a particle is given by the sum of its Show more…

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The very massive Higgs particle (mass $125 \mathrm{GeV} / \mathrm{c}^{2}$ ) is created when two protons traveling at equally high speeds but in opposite directions collide head-on. The mass of a proton is $938.27 \mathrm{MeV} / c^{2}$. In order to make a Higgs particle when they collide, each proton must have a minimum kinetic energy of $62.5 \mathrm{GeV}$. (a) What is the minimum total energy of each proton? (b) In terms of the speed of light $c$, what speed is each proton traveling? Calculate the total energy and speed to five significant figures.

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