Einstein Mass Energy Relationship
For the Einstein’s mass energy relationship in special theory of relativity, a particle is in rest and when a force act on it, particle starts to move, the mass of that particle is now ” m ” and speed is ” v “.
Einstein’s Mass Energy Relationship
The work done to displace this particle by distance “dx”, will be ” F.dx “. This work on the particle appear in terms of the small amount of kinetic energy. if suppose particle displace from position A to B which is a distance ” x ” then the total amount of work done will be the integration of it from ” 0 ” to “x ” into the right hand side. This will be the total kinetic energy of the particle and now by simple differentiation and integration tricks one can solve the mathematics.
At the end we get KE= mc2 + m0c2; where mc2 is the total energy which is represented by ” E” and second term is called as rest mass energy ( the potential energy) of the particle.
Einstein’s Mass Energy Relationship Derivation
watch video tutorial for the derivation
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