mass and energy Definition and 62 Threads

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



E
=
m

c

2




{\displaystyle E=mc^{2}}
. In a reference frame where the system is moving, its relativistic energy and relativistic mass (instead of rest mass) obey the same 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 300000 km/s or 186000 mi/s), the formula implies that a small amount of "rest mass", measured when the system is at rest, corresponds to an enormous amount of energy, which is independent of the composition of the matter.
Rest mass, also called invariant mass, is a fundamental physical property that is independent of momentum, even at extreme speeds approaching the speed of light. 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 (1854–1912). 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 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. T

    Relationship between Mass and Energy

    Can someone explain in detail the relationship between mass and energy? Apparently there's not much of a difference...
  2. S

    Do Mass and Energy Share Vibrational Properties?

    does it make sense to say that the reason mass is energy is because they are both vibrations, which are distinguished because they occur on different spatial and temporal scales? and can position-momentum uncertainty be conceptualized as a frequency-amplitude uncertainty?
  3. WolfOfTheSteps

    What Are These Energy Band Graphs Actually Showing?

    Homework Statement Here is the problem: http://img413.imageshack.us/img413/748/64my8.th.jpg The Attempt at a Solution I got the effective mass. That's trivial. My question is, what are these graphs actually of? The horizontal and vertical axes are not labeled. Is it an energy...
  4. N

    Matter-Energy Conversion: Gravity & Speed Questions

    Hi all, Matter can be turned into energy, correct? If so, what happens to matter's gravity when it's converted to energy? Also how fast is gravity? If the sun was hypothetically removed, would the Earth cease falling towards the sun's former position immediately, or in ~8mins? Thanks
  5. B

    The Equivalence of Mass and Energy

    I was working on the following problem: An electron and a positron each have a mass of 9.11 x 10-31 kg. They collide and both vanish, with only electromagnetic radiation appearing after the collision. If each particle is moving at a speed of 0.30c relative to the laboratory before the...
  6. P

    Conservation of mass and energy?

    conservation of mass and energy? ok... i get the principle, but what about birth? Meaning what about when someone is born, where is that mass coming from? Where is the energy coming from? The only thing i can think of is the nurishment the mom takes and gives to the baby, but how can that...
  7. N

    What is the difference between energy and relativistic mass?

    well, I'm very new to this, but I'm interested in learning. recently i followed a link from these forums that lead me here http://math.ucr.edu/home/baez/physics/ParticleAndNuclear/photon_mass.html which states: well, I'm a little confused now, because if energy and relativistic mass are...
  8. D

    Exploring the Implications of Mass and Energy on the Universe

    Hi, I've been wondering about some things; (sorry, introduction is about astronomy, but rest is physics) The future of the universe is determined by the quantity of mass. Lets take the example of the big crunch, in which gravity will essentially get the upperhand. Now, One pointed out...
  9. P

    Mass and Energy: Photons, Energy, and Light Speed

    Ok I have some general questions about mass and energy. I was wondering if photons have any energy themselves? And if they do, why is it that energy can travel at the speed of light but mass can not (ie, if they are interchangeable why can't mass travel at light speed). Thanks for your time.
  10. S

    One question on conservation of mass and energy

    with relativistic concepts in mind A Kaon split into 2 pions, One pion is stationary and one is stil moving in the same direciton. For Kaon rest mass = 497.67MeV/c^2 Pion = 139.57MeV/c^2 What is the kineric energy of the kaon and what is the energy of hte pion not at rest. Since...
  11. D

    Can Mass Be Transformed into Energy Without Antimatter?

    Are there any other examples of converting mass into energy or vice versa besides bringing together a particle and its anti particle? Or is this the only one allowed by conservation laws? By mass I mean the Lorentz-invariant quantity often called 'rest mass'. So the example of a nuclear...
  12. J

    Exploring the Relationship Between Mass and Energy

    If mass is energy, then energy is mass. Although the photon has no rest mass, it has energy, thus is liable to gravity. e=mc^2 hv=mc^2 m=hv/c^2, where m would be the relativistic mass? Damn my high school physics teacher for stopping me from learning this sooner! This is blowing my mind.
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