Derive the equation of mass energy relationship , Physics

The simple equation E = mc² is not usually applicable to all these types of mass and energy, except in the special case that the total additive momentum is zero for the system under consideration. In such a case, which is always guaranteed when observing the system from either its center of mass frame or its center of momentum frame, E = mc² is always true for any type of mass and energy that are chosen. Therefore, for example, in the center of mass frame, the total energy of an object or system is equal to its rest mass times c², a useful equality. This is the relationship used for the container of gas in the last example. It is not true in other reference frames where the center of mass is in motion. In these systems or for such an object, its total energy will depend on both its rest (or invariant) mass, and also its (total) momentum.

In inertial reference frames other than the rest frame or center of mass frame, the equation E = mc² remains true if the energy is the relativistic energy and the mass the relativistic mass. It is also correct if the energy is the rest or invariant energy (also the minimum energy), and the mass is the rest mass, or the invariant mass. Though, connection of the total or relativistic energy (Er) with the rest or invariant mass (m0) needs consideration of the system total momentum, in systems and reference frames where the total momentum has a non-zero value. The formula then needed to connect the two different parts of mass and energy, is the extended version of Einstein''s equation, called the relativistic energy-momentum relation.

Posted Date: 3/11/2013 6:16:38 AM | Location : United States







Related Discussions:- Derive the equation of mass energy relationship , Assignment Help, Ask Question on Derive the equation of mass energy relationship , Get Answer, Expert's Help, Derive the equation of mass energy relationship Discussions

Write discussion on Derive the equation of mass energy relationship
Your posts are moderated
Related Questions
Q. Write any three findings of binding energy curve. (i) The binding energy per nucleon arrive at a maximum of 8.8 MeV at A = 56 corresponding to the iron nucleus (26Fe56). Th

A)   Wirte two materials that are magnetic and two that are non-magnetic? B)  Explain magnetic induction C)  Describe what is meant by "Magnetomotive" force?


It explains that when an object is immersed partly or completely in a liquid, it loses in weight similar to the weight of the liquid displaced by it. Let w1 be weight of an obje

PROJECTILE: "When a body is thrown upward making a particular angle 'Q' with the horizontal and moves freely under the action of gravity, it is known as a projectile". EXAMP

Capacitor have thin conducting plates (usually made of metal) separated by a layer of dielectric, then stacked or rolled to form a compact device. Many types of capacitors are avai

A light object moves faster Mark off a half-metre on a table top with chalk. Separate this equally into centimetres. Secure a long rubber band and two spring clothes pegs. Atta

Dimension of unit impulse DIMENSION ? The dimension of impulse is [MLT -1 ]

why the least distance of distinct vision is 25 %

A conductor moves with a velocity of 20m/s at an angle of (a) 90 ? (b) 45 ? (c) 30 ? , to a magnetic field produced among two square-faced poles of side length 2.5cm. If the