## Related questions with answers

Question

A proton's total energy is ten times its rest energy. How fast is it moving?

Solution

VerifiedAnswered 2 years ago

Answered 2 years ago

Step 1

1 of 4The rest energy $E_0$ and the total relativistic energy $E$ of a particle are given by

$\begin{align*} E_0 &= mc^2 \\ E &= \gamma mc^2 \end{align*}$

where $\gamma = \dfrac{1}{\sqrt{1 - \dfrac{v^2}{c^2}}}$

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