Question

The cosmic rays of highest energy are protons that have kinetic energy on the order of $10^{13} \mathrm{MeV}$. (a) As measured in the proton's frame, what time interval would a proton of this energy require to travel across the Milky Way galaxy, which has a proper diameter $\sim 10^{5}$ ly? (b) From the point of view of the proton, how many kilometers across is the galaxy?

Name: Problem 51, Chapter 9: Principles of Physics a Calculus Based Text
Uploaded: 2020-07-13T18:56:56-08:00
Duration: 4 min 21 s
Channel: Rehmat Kazmi
Description: The cosmic rays of highest energy are protons that have kinetic energy on the order of 10^13 MeV. (a) As measured in the proton's frame, what time interval would a proton of this energy require to travel across the Milky Way galaxy, which has a proper diameter ∼10^5 ly? (b) From the point of view of the proton, how many kilometers across is the galaxy?

   The cosmic rays of highest energy are protons that have kinetic energy on the order of $10^{13} \mathrm{MeV}$. (a) As measured in the proton's frame, what time interval would a proton of this energy require to travel across the Milky Way galaxy, which has a proper diameter $\sim 10^{5}$ ly? (b) From the point of view of the proton, how many kilometers across is the galaxy?

Principles of Physics a Calculus Based Text

Raymond A. Serway,… 5th Edition

Chapter 9, Problem 51

Instant Answer

Solved by Expert Rehmat Kazmi

07/13/2020

Step 1

The gamma factor is given by the equation: \[ γ = \frac{E}{mc^2} + 1 \] where E is the energy of the proton, m is the mass of the proton, and c is the speed of light. Plugging in the given values, we get: \[ γ = \frac{10^{13} \, \text{MeV}}{938 \, \text{MeV}} + Show more…

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The cosmic rays of highest energy are protons that have kinetic energy on the order of $10^{13} \mathrm{MeV}$. (a) As measured in the proton's frame, what time interval would a proton of this energy require to travel across the Milky Way galaxy, which has a proper diameter $\sim 10^{5}$ ly? (b) From the point of view of the proton, how many kilometers across is the galaxy?