The LHC accelerates protons to a speed of 0.999999991c around a 27km ring. Due to relativistic effects, their mass increases. Given that the magnetic fields used are 8T, calculate this mass. What is the total energy of an LHC beam containing 3e14 protons?

Balancing the centripetal force mv^2/r with the force experienced due to motion in a magnetic field qvB: m = qBr/v = qBC/2piv (C circumference). Putting in numbers: m = 1.83e-23 kg (~11,000 mass of proton at rest!). Energy of beam = Np * 1/2 m v^2 (Np number of protons). Again, using the numbers, we get energy = 2.4e8 J. This is equivalent to the energy a standard car (mass 1.5t) has when traveling at around 1300 mph! (I originally asked this in the question but I went over the character count!).

TD
Answered by Tutor48526 D. Physics tutor

2823 Views

See similar Physics A Level tutors

Related Physics A Level answers

All answers ▸

Describe and explain the first stages of the life cycle of a star before it reaches the main sequence.


I dont really understand the Rutherford experiment


A truck with mass 1200kg is moving at 8m/s when it collides head-on with a stationary car of mass 800kg. As they collide, the vehicles move together with the same velocity, v. Calculate this velocity.


What is Olbers' Paradox?


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences