What is E=mc2: Definition and 73 Discussions

In physics, mass–energy equivalence is the relationship between mass and energy in a system's rest frame, where the two values differ only by a constant and the units of measurement. The principle is described by the physicist Albert Einstein's famous formula:

The formula defines the energy E of a particle in its rest frame as the product of mass (m) with the speed of light squared (c2). Because the speed of light is a large number in everyday units (approximately 3×108 meters per second), the formula implies that a small amount of rest mass corresponds to an enormous amount of energy, which is independent of the composition of the matter. Rest mass, also called invariant mass, is the mass that is measured when the system is at rest. It is a fundamental physical property that is independent of momentum, even at extreme speeds approaching the speed of light (i.e., its value is the same in all inertial frames of reference). Massless particles such as photons have zero invariant mass, but massless free particles have both momentum and energy. The equivalence principle implies that when energy is lost in chemical reactions, nuclear reactions, and other energy transformations, the system will also lose a corresponding amount of mass. The energy, and mass, can be released to the environment as radiant energy, such as light, or as thermal energy. The principle is fundamental to many fields of physics, including nuclear and particle physics.
Mass–energy equivalence arose from special relativity as a paradox described by the French polymath Henri Poincaré. Einstein was the first to propose the equivalence of mass and energy as a general principle and a consequence of the symmetries of space and time. The principle first appeared in "Does the inertia of a body depend upon its energy-content?", one of his Annus Mirabilis (Miraculous Year) papers, published on 21 November 1905. The formula and its relationship to momentum, as described by the energy–momentum relation, were later developed by other physicists.

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  1. A

    How to release energy in E=mc2?

    I know that anything with mass has a conserved energy within it. In that sense, wouldn't it be logical to say that even a paperclip could destroy a city in America (since c is such a huge number.) So in that case, how do you release the energy? *note: I'm not trying to destroy the world, I...
  2. B

    What is the relationship between units of time and space in relativity?

    Einstein said that matter was just a special form of energy then later came up with the equation of Energy(in ergs)=Mass(in grams) * C(speed of light in cm)^2 ... well ... what would the equation be if the standard unit of energy measurement were C(speed of light in cm)^2 ergs? ... seems to me...
  3. G

    After 103 years, Einstein's E=MC2 proved

    Does anyone know how the supercomputers did it rather than the empirical approach? Also, energy can also be converted to mass, but how? Is there any evidence of this occurance? http://news.yahoo.com/s/afp/20081120/sc_afp/sciencephysicseinstein_081120235605
  4. M

    Analyzing E=MC2: What Does Energy Have to Do with Distance?

    By analyzing E=MC2 dimensionally, we will get these results. kgM/S2 = kg(M2/S2) = kg(m)(m/s2) = kgm/s2(m) = E x distance E != Es where E = energy and s = distance or displacement. What we are seeing here with...
  5. U

    Why is the Equation E=MC2 Significant in Relativity and Energy Equivalence?

    I really do not understand WHY the equation is as it is. I understand what the equation means and how important it is. But for what reason is it so?
  6. B

    How Does E=mc2 Explain Energy Release in Nuclear Fission?

    1. Homework Statement [/b] The overall question is: For this assignment explain how the E=mc2 equation applies to nuclear fission. In your answer illustrate your explanation with an example, being sure to distinguish between mass and mass number, and explain how a nuclear equation differs...
  7. B

    Exploring Nuclear Fission Through E=mc2

    I am trying to come up with an example to illustrate how E=mc2 applies to nuclear fission. I need to be sure to distinguish between mass and mass number. I feel like I have some thing on the brink of my mind and then I loose it. I guess I need some help as I am tired and don’t know how much...
  8. S

    Deriving Law of Conservation of Energy from E=MC2

    Hello, First post. Thank you for letting me be a part of the discussion. My question is, can the Law of Conservation of Energy, http://upload.wikimedia.org/math/2/7/3/273abc16486177bf6cc4c8ec4a4a5fc9.png, be derived using E=MC2. I understand that the E=MC2 can be derived using the LoCE...
  9. J

    Can E=mc^2 Be Derived Without Special Relativity?

    Einstein derived E=mc2 using his SR in 1905...My question is 1. can E=mc2 be derived only using SR? 2. Even before einstein some(poincare,de pretto) have arrived at mass - energy equivalence relation... does this mean E=mc2 can also be derived without SR?
  10. C

    E=mc2 Problem Help: Comparing Reactors and Batteries

    the celebrated equation E=mc2 or m=E/c2 (c is the speed of light) tells us how much mass is loss, m, must be suffered by a nuclear reactor in order to generate a given amount of energy, E/ Which of the following statements is correct? a)The same equation, E=mc2 or m=E/c2, also tells us how...
  11. Zenparticle

    E=MC2 vs The End: Exploring the Laws of the Universe

    E=MC2 vs "The End" I was listening to this Nova audio compilation here: "[URL http://www.pbs.org/wgbh/nova/einstein/experts.html It's about E=mc2 or rather an explanation of it through the eyes of a few renowned Physicists. Interesting question popped into my mind. I thought of the...
  12. U

    E=mc2 Energy converts to matter

    With regard to E=mc^2 When energy radiation converts to matter, what particle does it generate? (Quark or lepton) Or is there some mediating virtual matter which afterwards form a hadron? Please clarify Thank you
  13. I

    Einstein's Derivation of E=mC2: English Translation

    ¿How did Einstein derived that E=mC2?. ¿ Can I find an english translation of his original paper?.
  14. W

    E=MC2: Consequences of Being Wrong

    If E=MC2... What would be the reprocutions if Einstien's e=mc2 was found to be wrong.
  15. T

    E=mc2 A biography of the world's most famous equation By Bodanis

    I haven't had any luck in the books I've read lately. this is another book that is a nice try, but doesn't quite make it. Maybe I choose minutae on which to base my critiques, but sometimes the little things bother me the most. To start with this guy mentions his webpage at least 3 times in the...
  16. C

    Can the equation e=mc2 be derived?

    Can anyone derive the equation e=mc2 for me. :approve:
  17. wolram

    E=MC2 energy must contribute to the force of gravity

    I am really confused, according to E=MC2 energy must contribute to the force of gravity, so that means that every time a molecular bonding occurs then gravity must increase, but how? the energy and mass has always been constant, what am i missing
  18. arivero

    E=MC2: quantum or relativistic effect?

    The conversion of energy into mass is usually seen in nuclear or atomic binding. We have two particles of mass M,m and then they form an stable compound of binding energy -E, so the new coumpound shows an inertial mass of M+m-E/c^2. Things that amaze me: a)It works. It is clear for instance...
  19. T

    E=MC2: does this prevent a Mass from achieving Light Speed?

    I say NO. If energy can be converted to Mass and Mass can be converted to Energy, then, being a layman, what would prevent any object from being propelled to the speed of light without, as I have heard, requiring all the energy in the Universe to do so?
  20. C

    Einstein's E=mc2 'was Italian's idea'?

    Is this true? Einstein's E=mc2 'was Italian's idea' Rory Carroll in Rome Thursday November 11, 1999 The Guardian The mathematical equation that ushered in the atomic age was discovered by an unknown Italian dilettante two years before Albert Einstein used it in developing the theory of...
  21. E

    Is the Speed of Light the Ultimate Conversion Point for Energy?

    I don't see eye to eye with Einstien on this one. how is light speed the conversion point to energy. I think the conversion point for pure energy is at a speed equall to the distance to come all the way around the perimeter of the universe and not take time to do so. So, hypotheticaly speaking...
  22. P

    Why Does E=MC2 Matter in the Universe?

    I know how scientists first came to realize that E = MC2, but I do not know why it does. If it didn't, would the matter and energy in the Universe act any differently?
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