Einstein's energy formula for a particle, represented as \(\frac{m c^2}{\sqrt{1-\frac{v^2}{c^2}}}\), defines the total energy of a particle, including its potential energy. The discussion emphasizes that as a particle is moved from a low potential area to a high potential area, its inertial mass increases, indicating a change in mass due to energy variations. For a deeper understanding, participants are encouraged to consult the FAQ thread and the paper by E. Hecht published in the American Journal of Physics.
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paweld said:I wonder what's the precise meaning of Einstein's formula for energy of a particle [tex]\frac{m c^2}{\sqrt{1-\frac{v^2}{c^2}}}[/tex]. Is it total energy of particle (considering potential energy)? If it is then if we move (infinitesimally slowly) the particle from area of low potential to high its mass will increase. So the inertial mass is changing.