I would like to know how much energy is required to accelerate a Muon (A quantum particle part of the lepton family). Its mass is 105.7 MeV. I don't have much experience on using the relativity equation (As I am only in grade 9).


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It requires no energy if it’s speed is already .95 c. (An object in motion tends to stay in motion...) I assume you mean accelerate it from when it is at rest?

You need to look at the relativistic energy equation. The particle's initial energy is it's rest mass, $E_0$. It's final energy $E_f = \gamma E_0$, where $\gamma$ is a term that pops up all the time in relativity and depends on the velocity.

The difference between these two quantities is the energy needed to accelerate it in a vacuum to the desired velocity.


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