The cosmic rays of highest energy are protons that have kineticenergy on the ord

Question

The cosmic rays of highest energy are protons that have kineticenergy on the order of 1013 MeV. (a) How long would it take a proton of this energy to travel acrossthe Milky Way galaxy, as measured in the proton's frame? (The Milkyway has a diameter of ~ 105 light-years as measuredin its rest frame.)
s

(b) From the point of view of the proton, how many kilometersacross is the galaxy?
km (a) How long would it take a proton of this energy to travel acrossthe Milky Way galaxy, as measured in the proton's frame? (The Milkyway has a diameter of ~ 105 light-years as measuredin its rest frame.)
s

(b) From the point of view of the proton, how many kilometersacross is the galaxy?
km

Explanation / Answer

If you use the formula for kinetic energy (1/2 m v^2) andthe given kinetic energy, and also the definition of velocity (thechange in distace over the change in time) and you know the mass ofthe proton, you can do some algebra and solve for the unknownchange in time.

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