Why not use relativistic mass in the momentum equation p=mvγ

[khil_phys]

The relativistic momentum is given by p=mvγ, where Y is the Lorentz factor and m is the rest mass of the body.
My question is that if we are considering the momentum of the body at relativistic speeds, shouldn't we also consider the relativistic mass of the body?

 

[CompuChip]

That's exactly what you are doing. It is just p = m_r v, where $m_\mathrm{r} = \gamma m_0$ is the relativistic mass (in the direction of v).

 

[jfy4]

Compu is right. Although you will find other physicists prefer to write the invariant rest mass, $m_0$, and $\mathbf{u}=\gamma (c,\vec{v})=\gamma\mathbf{v}$. You could find either of these in the various texts on relativity.