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 bi-prism experiment, Explain why a narrow slit is used in case of B...

Explain why a narrow slit is used in case of Bi-prism experiment where as an extended source is used in Newton's rings experiment?

Determine the moment applied to the bolt, The wrench shown in the figure is...

The wrench shown in the figure is designed for access to the bolt at O.  The wrench lies in a vertical plane and a horizontal force of P27 (as in question 14) is applied at A perpe

Faradays law of electromagnetic induction, What is Faraday's law of electro...

What is Faraday's law of electromagnetic induction? Determine its differential form.

Which path requires the most energy, Which Path Requires the Most Energy ...

Which Path Requires the Most Energy This condition that can be simulated through use of a easy physics lab in that a force is applied to raise a cart up an incline at stable sp

Specific heat, why specific heat is different at different temperature?

why specific heat is different at different temperature?

Heat, the water flowing over the Niagara Falls drops a distance of 50 m. as...

the water flowing over the Niagara Falls drops a distance of 50 m. assuming that all the gravitational energy is converted to thermal energy, by what temperature does the water ris

Retardation plate, what do you mean by retardation plates?explain their fun...

what do you mean by retardation plates?explain their functioning by taking an example of a quarter wave plate

Determine the photon flux, Suppose that the x rays are emitted from a focal...

Suppose that the x rays are emitted from a focal spot isotropically. The photon flux is 3.28 x 10 6 photons mm -2 sec -1 at a distance of 0.75 m from the focal spot. What is the

Write a mathematical expression produced by a thin prism, Write a mathemati...

Write a mathematical expression for deviation produced by a thin prism and illustrate the terms.

Mica is a which type of material, Mica is a (A) Dielectric material. (...

Mica is a (A) Dielectric material. (B) Insulating material. (C) Magnetic material. (D) Both insulating and dielectric material. Ans: Mica is a both insulating and

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