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A muon is an elementary particle that resembles a heavy electron. It has a rest mass...

A muon is an elementary particle that resembles a heavy electron. It has a rest mass of 105.7 MeV/c2 compared to the electron rest mass of 0.511 MeV/c2. In frame, S, the muon has a velocity of   0.85 c ms?1 . In frame, S', the muon is found to have a velocity of     0.65 c ms?1 .

The muon velocity vectors in either frame and the velocity of relative motion of frame S and S' are all parallel to the x and x' axes (convention adopted throughout lectures).

Give your answers in MeV (energy), MeV/c (momentum) and fractions of the speed of light (e.g. 0.8 c is a velocity of 0.8) as appropriate.

>> Calculate the speed, v, of frame S' that is measured in frame S. Use the Lorentz transformation of velocities and the speeds of the muon given in either frame as a fraction of the speed of light.  

Science   Advanced-Physics   
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Answer #1

It is given that both the frames S and S' are moving along the same axis.

So, the relativistic velocity of S' frame relative to the S frame will be:

=>

this is the speed of S' frame in S frame.

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