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 was the total distance for trip, A cab driver in a hurry is sitting at...

A cab driver in a hurry is sitting at a red light. When the light turns green she rapidly accelerates for 3.50 s at 6.80 m/s 2 . The next light is still red. She then slams on

Measuring with a micrometer caliper, Measuring with a Micrometer Caliper ...

Measuring with a Micrometer Caliper A simple animation of using a micrometer to measure the width of a pencil.

Disk light second in circumference were to spin at 60 rpm, Q. What would oc...

Q. What would occur if a disk one light second in circumference were to spin at 60 RPM? Answer:- 60 revolutions for each minute is one revolution per second. 1 light se

In which situation is the capacitance of the pair greater, Regard as a pair...

Regard as a pair of two identical capacitors. In which situation is the capacitance of the pair greater? Ans: The effective capacitance of a couple of capacitors in series

Explain the process of phase changes, Explain the Process of Phase Changes ...

Explain the Process of Phase Changes Matter exists in three forms: as a solid, a liquid or as a gas. These are called phases of matter. If we take a chunk of ice (solid water) fr

Reflection and refraction of waves, When rays are incident on a boundary am...

When rays are incident on a boundary among medium, a section of incident waves goes back into the initial medium whereas the remaining is sectionaly absorbed and sectionaly transmi

How do you find your body volume using a tape measure, How do you find your...

How do you find your body volume using a tape measure? ACCURATELY calculates a container into which your body will fit comfortably. Once you know the volume, fill the containe

What pd exists across the ends of the conductor, 450J of energy are changed...

450J of energy are changed into heat in 1 minute. What power is dissipated? A current of 10A ?ows by a conductor and 10Wis dissipated. What p.d. exists across the ends of

What are the steps to the scientific notation, What are the steps to the sc...

What are the steps to the scientific notation? To write in scientific notation, you should first move the decimal point of the number to where the number is among 1 and 9. For

Forces, Forces: If a Force is applied to a body, it will cause that bod...

Forces: If a Force is applied to a body, it will cause that body to move.  A body that is already moving will change its speed or direction.  Note that the term 'change its spe

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