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  1. May 6, 2024 · E = mc 2, equation in German-born physicist Albert Einstein’s theory of special relativity that expresses the fact that mass and energy are the same physical entity and can be changed into each other.

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    • Overview
    • Understanding the Equation
    • Applying the Equation in the Real World

    In one of Albert Einstein’s revolutionary scientific papers published in 1905, E=mc

    was introduced; where E is energy, m is mass, and c is the speed of light in a vacuum.

    has become one of the most famous equations in the world. Even people with no background in physics have at least heard of the equation and are aware of its prodigious influence on the world we live in. However, most people do not exactly know what the equation means. In simple terms, the equation represents the correlation of energy to matter: essentially, energy and matter are but two different forms of the same thing.

    This relatively simple equation has altered the way we think about energy and provided us with numerous technological advances.

    Define the variables of the equation.

    The first step to understanding any equation is to know what each variable stands for. In this case, E is the energy of an object at rest, m is the object's mass, and c is the speed of light in vacuum.

    The speed of light, c is constant in all reference frames and is roughly equal to 3.00x10

    meters per second. In the context of Einstein's relativity, the c

    functions more as a unit conversion factor than a constant. As such, it is squared as a result of dimensional analysis - energy is measured in joules, or kg m

    , so adding the c

    Understand where usable energy comes from.

    Most of our consumable energy comes from the burning of coal and natural gas. Burning these substances takes advantage of their valence electrons (unpaired electrons in the outermost shell of an atom) and the bonds they make with other elements. When heat is added, these bonds break and the energy released is used to power our communities.

    Obtaining energy this way is not very efficient and is costly to the environment.

    Apply Einstein’s equation to make energy conversion more efficient.

    tells us that there is much more energy stored inside the nucleus of an atom than in its valence electrons. The energy released from splitting an atom is much higher than that of breaking electron bonds.

    Nuclear power is based on this principle. Nuclear reactors cause fission (the splitting of atoms) to occur and capture the massive amount of energy released.

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  2. Apr 8, 2021 · Learn how Einstein's famous formula connects mass and energy, and how it applies to nuclear reactions, photons and more. Find out the significance and implications of E=mc2 for physics and the universe.

    • Nathaniel Scharping
  3. Learn how Einstein's famous equation E=mc2 shows that mass and energy are the same thing, and how this affects time and space. Find worked examples, calculators, and summaries of special relativity and its applications.

  4. Learn what E = mc2 means and how it relates energy and mass. Find out why the speed of light squared is the conversion factor and how much energy is in a paper clip.

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  6. Learn how Einstein's famous equation E = mc2 relates mass and energy, and how it challenges the laws of conservation of mass and energy. Watch 10 top physicists explain the meaning and implications of E = mc2 in different contexts, from relativity to neutrinos.

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