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

genius_generous answered 1 year ago

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