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- - **A dimensional problem in relativistic mechanics**
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A dimensional problem in relativistic mechanics[tex]{F}=\frac {{\gamma}^3 {m} {v}^2}{{c}^2} + \gamma {m} {a} [/tex]
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 |

Re: A dimensional problem in relativistic mechanicsQuote:
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 |

Re: A dimensional problem in relativistic mechanicsYou left out a factor. The first term is actually
γ ^{3} m/c^{2} (v.a) v |

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