Chapter 37, Problem 37.49P

The Large Hadron Collider (LHC). Physicists and engineers from around the world came together to build the largest accelerator in the world, the Large Hadron Collider (LHC) at the CERN Laboratory in Geneva, Switzerland. The machine accelerates protons to high kinetic energies in an underground ring 27 km in circumference. (a) What is the speed υ of a proton in the LHC if the proton’s kinetic energy is 7.0 TeV? (Because υ = is very close to c, write u = (1 − Δ)c and give your answer in terms of Δ.) (b) Find the relativistic mass, m_rel, of the accelerated proton in terms of its rest mass.