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).
closed as off-topic by DanielSank, JMac, ZeroTheHero, Qmechanic♦ Jan 3 '18 at 18:16
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "Homework-like questions should ask about a specific physics concept and show some effort to work through the problem. We want our questions to be useful to the broader community, and to future users. See our meta site for more guidance on how to edit your question to make it better" – DanielSank, JMac, ZeroTheHero, Qmechanic
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.