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

What is the band width?, A data transmission rate; the maximum amount of in...

A data transmission rate; the maximum amount of information (bits/second) that can be transmitted along a channel is called band width.

Motion of projectile, A bomber plane moves horizontally with a speed of 500...

A bomber plane moves horizontally with a speed of 500 m/s and a bomb released from it, strikes the ground in 10 sec. angle at which it strikes the ground will be (g=10m/s) 1. tan

Compound pendulum, the centre of oscillation of a meter stick suspended abo...

the centre of oscillation of a meter stick suspended about a transverse axis is located at the 10cm mark.Determine at what other positions could the meter stick be suspended and ha

Microscope, principle and working of compound microscope

principle and working of compound microscope

Explain about the term holography, Explain about the term holography. H...

Explain about the term holography. Holography Holography (through the Greek hòlòs entire + grafè writing, drawing) is a technique which permits the light scattered by an obj

Low of succeve disintigration, Dirive an expretion for low of succecive dis...

Dirive an expretion for low of succecive disintigretion

Explain inertial frame of reference, INERTIAL FRAME OF REFERENCE:  "A f...

INERTIAL FRAME OF REFERENCE:  "A frame of reference which is not being accelerated and it might be at rest or moving with uniform velocity is known as inertial frame of referen

Which atomic model did erwin schrodinger create, Which atomic model did Erw...

Which atomic model did Erwin Schrodinger create? Schrodinger's wave equation was based on the Heisenberg uncertainty principal that the position and velocity of an electron can

Explain dielectric break down, Dielectric break down Dielectric Breakd...

Dielectric break down Dielectric Breakdown : Dielectric Breakdown of a dielectric material is because of the excitation of electrons into the conduction band across the energy

Component simple harmonic motions, When the component simple harmonic motio...

When the component simple harmonic motions have dissimilar periodic times: The resultant curve may be attained in this case by dividing the circumferences of the two circles of

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