Hi, I am thinking about acceleration. Let's think we have a force of $1$ N and a particle of $1$ kg, then acceleration will be $1$. So the speed gets higher every second and $c$ seconds later, in Newtonian mechanics, the particle will reach the speed of light. In relativity, of course, something like that cannot happen. So, what are the equations that describe acceleration in relativity?
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Classicaly you have
$$ m\frac{\mathrm{d}v}{\rm{d}t}=F $$
In relativity, closer to speed of light the particle is, higher mass it gets. This increase of mass is expressed by gamma factor: $\gamma=1/\sqrt{1-v^2/c^2}$. See it is dependent on $v$. Therefore:
$$ \frac{\mathrm{d}(\gamma m v)}{\rm{d}t}=F $$
