Question
In: Physics
In S, a moving proton has an energy of 4 GeV. S' is moving parallel to...
In S, a moving proton has an energy of 4 GeV.
S' is moving parallel to the proton with a speed of 0.8c.
Find the kinetic energy in each frame using four-vectors.
Find the kinetic energy in each frame without
four-vectors.
Solutions
Expert Solution
IN S frame total energy of proton is 4GeV
Firstly we are solving without taking 4 vectors notation
Then kinetic energy in S frame is
where m0 is rest mass of proton
Now in S' frame
Put v=0.8c
In 4 vector notation
In S frame
By energy momentum relation
Hence
P is total energy
say it E_total
Using values from above equation
In S' frame
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