Let's consider
$$E_f^2=(mc^2)^2+(pc)^2$$
where the $mc^2$ is the rest energy due to the rest mass -- in Finnish "lepomassa".
$$ \sqrt{(mc^2)^2+(pc)^2} - mc^2~=~(\gamma-1)mc^2$$
is the kinetic energy due to the movement because of momentum $p=\gamma mv$.
Now where is potential energy if $E_f=\gamma mc^2$ is the total energy?
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