The Muon Velocity Detector · AI Generator #GEN-086770A3

Physics

Problem

A cosmic ray muon detector at CERN measures the momentum and kinetic energy of a muon that has been accelerated by a particle accelerator. The detector records that the muon has a momentum of p=1.05×10−19  kg⋅m/sp = 1.05 \times 10^{-19}\;\text{kg⋅m/s} and a kinetic energy of K=1.80×10−12  JK = 1.80 \times 10^{-12}\;\text{J}. The rest mass of a muon is mμ=1.88×10−28  kgm_\mu = 1.88 \times 10^{-28}\;\text{kg}. What is the velocity of this muon as a fraction of the speed of light?

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