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 Quote by Shyan $${F}=\frac {{\gamma}^3 {m} {v}^2}{{c}^2} + \gamma {m} {a}$$ You all know this equation.Relativistic newton's second law. The problem is as follows: As you know $$\gamma$$ is dimensionless.So the first term of the right side has dimension of mass.but it should have the dimension of force! what's wrong here? thanks
Hi Shyan.

F = dp/dt.

However, the equation that you write, I don't know it.
See http://en.wikipedia.org/wiki/Special_relativity (scroll down to the section on force).
It looks like you forgot a dv/dt term.

Harald