At the Large Hadron Collider in Switzerland, two highenergy protons collide to create new particles. Prior to

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At the Large Hadron Collider in Switzerland, two highenergy protons collide to create new particles. Prior to collision, each proton is accelerated to an energy of \(7000 \mathrm{GeV}\) in the Earth reference frame.

(a) What is the speed of each proton?

(b) What is the maximum mass possible for any particle created in the collision? The proton mass is \(938 \mathrm{MeV} / c_{0}^{2} ; 1 \mathrm{GeV}=1000 \mathrm{MeV}\).

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