Special theory of relativity (Energy and mass)

In Newtonian mechanics, if a certain amount of force is continuously applied to an object, it gains kinetic energy as given by the following equation:


With regard to the relationship between relative speed and mass, the mass of an object is not constant and increases with its speed and is represented by the following equations:

or


By transforming the equation, we obtain the following equation:

By expanding the denominator , we obtain the following expression:

If is small, we can neglect the third and following terms, to obtain the equation:

If , then

This equation shows the equivalence of energy and mass.
In practice, a small amount of mass is lost as uranium undergoes nuclear fission, and an enormous amount of energy equivalent to the lost mass is produced.

Total(1997)  Today  Yesterday 

Japanese sites
Mathematical Formulas| Kodawari House| Pinpoint StreetView| Excel VBA Techniques| Excel Formula Analysis|