About Relativistic Mass-Energy Equivalence

[SMarioKingdom]

While I was looking up E=mc^{2}, I have learned such formula only applies to stationary objects and for kinetic object, the formula is this:
E_{r}=\sqrt{(m_{0}c^{2})^{2}+(pc)^{2}}
Where E_{r} is relativistic energy
and m_{0} is rest mass

In the formula, what is p and what is (pc)^{2}?
Also, does the relativistic energy calculated here becomes relativistic mass of the object using E=mc^{2}?

 

[bcrowell]

In the formula, what is p and what is (pc)^{2}?

The symbol p is momentum.

Also, does the relativistic energy calculated here becomes relativistic mass of the object using E=mc^{2}?

Here E is called the mass-energy of the object, and m is simply called its mass. The interpretation of E=mc^{2} is that when the object is not moving (has zero momentum), the only mass-energy it has is the mass-energy due to its mass.

The term "relativistic mass" is not used any more. Back when people used to use it, it meant the mass multiplied by a factor of \gamma.