Mass energy relation, Physics

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.

Posted Date: 8/1/2012 8:13:02 AM | Location : United States







Related Discussions:- Mass energy relation, Assignment Help, Ask Question on Mass energy relation, Get Answer, Expert's Help, Mass energy relation Discussions

Write discussion on Mass energy relation
Your posts are moderated
Related Questions
what is the significne of electric field?

In the experiment, under which of the following circumstances is the angular momentum L of the movable puck NOT conserved? a) The net torque  = 0. b) The radius r is always perpen

#question-the measurement of 30.43 degrees north of east..

Define Coulombs Law Coulomb's Law:  The magnitude of the electric force among two electric point charges is proportional to the product of the two charges (Q1 and Q2) separated

Q. Define roentgen and activity and Curie? One roentgen (1R) is described as the quantity of radiation which produces 1.6 × 10 12 pairs of ions in 1 gram of air. The activi

Electromagnetic radiations: What are the common features among all the Electromagnetic radiations? Ans: 1. They all can be described in terms of oscillating electric and ma

It is the need of elastic strength of a substance when subjected to repeated stresses and strain. If the substance is reserved undisturbed for some time, the previous properties ar

Mass of the system is same. since, p=mv momentum remains same

composiotion of two simple harmonic motions ai right angles to each other nd having time period in the ratio 1:2

Q. Illustrate what is curvilinear motion? Answer:- Fundamentally it's any motion that's formed or else bounded by curved as opposed to straight lines. In high school curvi