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.
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.
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, mrel, of the accelerated proton in terms of its rest mass.
An electron has a rest mass of 9.11×10^(-28) g.
a.) What is its mass in kg when moving with a speed of 0.95c_0? Express the answer in 4 significant figures.
b.) What is the energy contained in the electron provided it is accelerated to the speed of light in kJ? Express the answer in 4 significant figures.
Particles accelerators such as the Large Hadron Collider (LHC) can accelerate particles up to
tremendous energies. Suppose the LHC accelerates alpha particles (a.k.a. helium nuclei with a
charge of +2e and a mass of 6.645 x 10-27 kg) with a kinetic energy of 7.5 TeV*, what would the
speed of one particle be if relativistic effects** are ignored?
Give your answer in units of Gm/s.
*T as in Tera, for 1012. "eV" stands for "electron volt," which is a non-Sl unit of energy equal to what
one electron would gain after travelling through 1V. 1eV = 1.602 x 10-19 J.
**Special relativity is necessary to correctly account for the limiting speed of light, which is about 3 x
10° m/s. Note that in ignoring this effect and applying Newtonian mechanics (what you learned in
Phys1210 or equivalent), you'll be getting a speed way above 0.3 Gm/s. That's just how insanely
energetic the LHC is.
B6
Chapter 37 Solutions
University Physics with Modern Physics (14th Edition)
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