A particle is accelerated so it has a total energy of 10GeV measured in the accelerator’s rest frame. The particle's momentum is 8GeV/c in the same frame. Calculate...
a.) Rest mass of the particle
b.) Energy in an inertial frame in which its momentum is 6GeV/c
c.) The speed of the this reference frame relative to the accelerator's rest frame.
The Attempt at a Solution
Using the stated relevant equation, I found the rest mass to be equal to 6 GeV/c^2, and then the energy in the inertial frame to be 0. I'm not sure if these are right, especially b! So I'm worried I may have over simplified things a little.
I'm not entirely sure how to do c. Could I attempt to rearrange the relativistic momentum equation using transforms?
Any guidance would be much appreciated...
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