#2 Einstein’s Mass Velocity Relation

Einstein's mass velocity relation

Albert Einstein, an absolute genius has given groundbreaking theories and one theory among them which was a revolution was the Theory of Relativity. It took 100 years to get strong proofs for this theory.

In 1905 Einstein proved that the laws of physics are the same for all non-accelerating observers and that the speed of light in a vacuum was independent of the motion of all observers. This was the Special Theory of Relativity. Einstein then spent 10 more years to include acceleration in his theory and published his General Theory of Relativity.

These theories had many revolutionary equations and relation. Let us see one such equation which is Einstein’s mass-velocity relation.

Einstein’s Mass-Velocity Equation


  • v is the magnitude of the velocity
  • c is the speed of light
  • m0 is the rest mass of the body
  • m is the relativistic mass

Now, what is so special about this mass-velocity relation. Let us understand what does this equation mean. This equation tells us that if we travel with speeds approaching the speed of light then our mass will increase with speed. So, do you really gain mass? Do you become fat? No, let me tell you that we take inertial mass into consideration here. Inertial mass measures an object’s resistance to being accelerated by a force. Now, every body has rest mass which is m0 here in the formula.    

If an object moves with some speed then the kinetic energy adds up to the rest mass and overall the inertial mass increases. This means that if an object approaches light speed then its inertial mass increases rapidly and accelerating it further becomes more and more difficult. If any object reaches light speed its inertial mass approaches infinite according to the above equation. Thus, Einstein stated that no object can travel faster than light speed.

I hope you got clarity about this equation and if you have any doubts please comment below, I will surely reply as quickly as possible.

Read about more such interesting relations and equations: Famous Equations


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