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

TRANSFORMERS, PRINCIPLES OF OPERATING DEPLETION MOSFET

PRINCIPLES OF OPERATING DEPLETION MOSFET

Explain the natural frequencies and resonance, Explain the Natural Frequenc...

Explain the Natural Frequencies and Resonance Standing waves occur when the waves, like those in a vibrating piece of rope, are repeating so that there are places on the rope t

Millikan oil drop experiment, Millikan oil drop experiment (R.A. Millikan) ...

Millikan oil drop experiment (R.A. Millikan) A popular experiment designed to compute the electronic charge. Drops of oil were carried past a consistent electric field among c

Ammeter, why we can''t reduce the range of AN AMMETER ?

why we can''t reduce the range of AN AMMETER ?

Centre of the square, Fig- detremines a square loop Made from a uniform wir...

Fig- detremines a square loop Made from a uniform wire. Determine the magnetic field at the centre of the square if a battery is connected among the points A and C.

Explain the term poly elastic, Explain the term poly elastic and give some ...

Explain the term poly elastic and give some of example.

Can you give the s.i unit of electric displacement vector, Can you give the...

Can you give the S.I unit of electric displacement vector?

How can ultrasonic waves be detected kundt’s tube method, How can ultrasoni...

How can ultrasonic waves be detected Kundt’s tube method? Ultrasonic waves can be detected by Kundt’s tube. There at the nodes, lycopodium powder collects into the form of heap

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