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
Draw a labelled diagram of a moving coil galvanometer. Verify the principle on which it works. Reduce an expression for the torque acting on a rectangular current carrying loop kep

What are the branches of physics? The basic branches of physics are a) Classical mechanics b) Electromagnetism (including optics), c) Relativity, d) Thermodynamics,

The plane of polarization of a plane polarized light is rotated through an angle of 200 while passing through 20 cm in a sugar solution having rotation about 45 0 cm 2 /gm. Determ

A bottle and marble Pour some sand into a wide mouthed bottle. Place a piece of cardboard about 5 cm square over the mouth of the bottle. Set the marble on the cardboard and th

Hard ferrites are used for making (A) Transformer cores.                      (B) Electrical machinery. (C) High frequency equipment.         (D) Light weight permanent m

Internal Resistance of Circuit: As mentioned earlier in the section on batteries, every source of electricity, such as a cell or generator has resistance to current flow called

Determine the change in entropy when 2 kg of a gas at 277 K is heated in a closed, rigid container to a temperature of 368 K. Take the specific heat at constant volume to be 1.42 K

How many types fitting are there? Literally thousands for all thought or dreamed up application. By small bullet lenses uses very large floor, pool and pavers lights. From simp

what is inertial

A cue ball on a billiards table travels at 1.0 m/s for 2.0 s. After striking another ball, it travels at 0.80 m/s for 2.5 s at an angle of 60.0° from its original path. a. How