I have an engineering physics problem…

The question asks me to find the magnitude of the impulse applied to a proton (of mass m) in large hadron collider (27 km long)… The particle is moving at a constant speed of (4/5)c (c being the speed of light). At one moment the particle is moving east and at another moment it is moving south.

I have attempted to use the definition of momentum to solve this problem-   P->=(1/sqrt(1-(4/5)^2))m(4/5)c which I found to be equal to 4/3 mc…

Unfortunately I am incorrect and I cannot seem to work out the solution. I’d assume that it has to do with the change in direction of the particle around the circular body of the accelerator but I don’t know how to account for it in my calculations.

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