Question
The mass of a theoretical particle that may be associated with the unification of the electroweak and strong forces is 10×1014 GeV/c210\times 10^{14}\textrm{ GeV/c}^2 . (a) How many proton masses is this? (b) How many electron masses is this? (This indicates how extremely relativistic the accelerator would have to be in order to make the particle, and how large the relativistic quantity γ\gamma would have to be.)
Question by OpenStax is licensed under CC BY 4.0
Final Answer
  1. 1×10141\times 10^{14}
  2. 2×10172\times 10^{17}

Solution video

OpenStax College Physics for AP® Courses, Chapter 33, Problem 15 (Problems & Exercises)

OpenStax College Physics, Chapter 33, Problem 15 (PE) video thumbnail

In order to watch this solution you need to have a subscription.

Start free trial Log in
vote with a rating of votes with an average rating of .
Chevron left Prev
Select problem
Next Chevron right

Calculator Screenshots

  • OpenStax College Physics, Chapter 33, Problem 15 (PE) calculator screenshot 1
Video Transcript
This is College Physics Answers with Shaun Dychko. A particle that is proposed to unify the electro weak and the strong forces has a mass of 10 to the 14 gigaelectron volts per c squared and question (a) asks how many proton masses is this? So we take the mass that we are given and then divide by proton mass which is 938.27 times 10 to the 6 electron volts per c squared and it is 1 times 10 to the 14 proton masses. And the number of electron masses is the mass of this particle divided by electron mass which is 0.511 megaelectron volts per c squared and that works out to 2 times 10 to the 17 electron masses.