Mass energy relation, Physics

Assignment Help:

Until the time of Einstein, mass and energy were considered as two different physical quantities. But in 1905, with the help of postulates of the special theory of relativity Einstein demonstrated that neither mass nor energy were conserved separately, but they could be traded one for the other and neither mass nor energy were conserved separately, but they could be traded one for the other and only the "total mass energy" was conserved. The most famous relationship between the mass and the enrgy given by Einstein is E = mc2

Here m is the effective mass, c is the speed of light, and E is the energy equivalent of the mass. According to this relation a certain amount of energy of any form can be considered as mass or conversely. Energy will increase if mass decreases; mass can be turned into energy. If the mass increases, energy must be turned into energy. If the mass increases, energy must be supplied, energy can be turned into mass. Mass and energy are interchangeable. Mass and energy is the same thing. According to Einstein's first postulate of relativity, all laws related with physical events have the same form in all inertial frames. Thus Newton's second law and work energy theorem will also remain valid in all inertial frames.

According to Newton's second law of motion, force is defined as the rate of change of linear moment of the body on which it acts i.e. now, from the statement of work energy theorem change in kinetic energy = work done by the particle using equation (2) in eqn. (3), we have

Since the effective mass of the particle moving with a velocity v is here m is the rest mass of the particle. On squaring eqn. (5), we get on differentiating eqn. (6)

Where E is the total energy of the particle, m is the relativistic mass of the particle, and c is the velocity of light. This equation is known as famous Einstein's mass energy relation. Non relativistic Kinetic Energy of particle : If the velocity of the particle is small compared to the velocity of light i.e. v << e then from equation 9 we have neglated higher order term, we have thus for small values of velocity v , equation (9) converts into classical formula of kinetic energy.


Related Discussions:- Mass energy relation

Explain rolling, Explain Rolling Rolling: A pair of cylindrical rolle...

Explain Rolling Rolling: A pair of cylindrical rollers made of iron or steel rotate in opposite direction with a gap between them which is smaller than the cross section of t

Second law of black hole dynamics, Second law of black hole dynamics ...

Second law of black hole dynamics Along with black-hole interactions, or interactions among normal matter and black holes, the total of the surface areas of all black holes i

Nicol prism, basic informations about nicol prism

basic informations about nicol prism

Wave optics: oscillation of particle, In forced oscillation of a particle, ...

In forced oscillation of a particle, the amplitude is maximum for a frequency  ω1 of the force while  the energy is maximum for a frequency  ω2 of the force, then what is relations

What is rarer and denser medium , A medium is known as denser if the veloci...

A medium is known as denser if the velocity of ray in that phase is fewer than the speed of the wave in other phase.     In comparison to air velocity of sound is main in water,

Luxon, luxon: A particle which solely travels at c (the speed of light...

luxon: A particle which solely travels at c (the speed of light in vacuum). All of the luxons have a rest mass of zero exactly. Though they are massless, luxons carry momentum

Calculate the value of the unknown resistance, In a Wheatstone bridge ABCD,...

In a Wheatstone bridge ABCD, a galvanometer is connected between A and C, and a battery among B and D. A resistor of unknown value is connected among A and B. When the bridg

Heat, what is expansion of solids

what is expansion of solids

Explain the compton effect and its physical significance, Consider a partic...

Consider a particle of energy E is incident from the left on a rectangular potential barrier of height and width and on both sides of this barrier at which means that no force act

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd