[tex]{F}=\frac {{\gamma}^3 {m} {v}^2}{{c}^2} + \gamma {m} {a} [/tex](adsbygoogle = window.adsbygoogle || []).push({});

You all know this equation.Relativistic newton's second law.

The problem is as follows:

As you know [tex]\gamma[/tex] 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

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# A dimensional problem in relativistic mechanics

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