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

Plot the engineering stress strain curves, Given the properties in the tabl...

Given the properties in the table below a. Plot the engineering stress-strain curves for the 3 materials. You can assume the materials behave linearly when they plastically

How many types does heat transfer, How many types does heat transfer? ...

How many types does heat transfer? There are three ways of heat tranfer. a) Conduction (transfer of heat among objects in direct contact) b) Convection (transfer of he

Electricity, help by post offoce box explan rasistance of a wire

help by post offoce box explan rasistance of a wire

Explain phase advancers, Phase advancers: Phase advancers are used to bett...

Phase advancers: Phase advancers are used to better the power factor of induction motors. The low power factor of an induction motor is because of the fact that its stator winding

Thermodynamics, The internal energy change when a system goes from state A ...

The internal energy change when a system goes from state A to B is 40 kJ/mole. If the system goes from A to B by a reversible path and returns to state A by an irreversible path wh

Magnetism, how to perform experiment of deflection magnetometer,its concept...

how to perform experiment of deflection magnetometer,its concepts

Parallel forces, define like and unlike parallel forces with examples

define like and unlike parallel forces with examples

Define the temperature coefficient of resistance, Q. Define: the temperatur...

Q. Define: the temperature coefficient of resistance. The ratio of raise in resistance per degree rise in temperature to its resistance at 0 o C is called as temperature coeff

Quantam mechanics, what is the physical significance of Compton effect?

what is the physical significance of Compton effect?

J.j. thomson''s method to verify specific charge of electron, It's working ...

It's working is based on the detail that if a beam of electron is subjected to the crossed electric field   and magnetic field , it experiences a force because of each field. In ca

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