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  2. Mar 29, 2024 · E = mc2, 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. In the equation, the increased relativistic mass ( m) of a body times the speed of light squared ( c2) is equal to the kinetic energy ( E) of ...

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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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  3. Apr 8, 2021 · Einstein’s legendary equivalence between mass and energy, given the simple formula E=mc^2, is familiar even to schoolchildren. At times, it simply stands as a placeholder for science — like in cartoons where writing E=mc^2 on a chalkboard signifies there’s some serious physics going on.

    • Nathaniel Scharping
  4. Einstein's equation shows that mass and energy are equivalent—so long as you multiply by the "conversion factor" of c 2 (the speed of light multiplied by itself). This factor is huge: 90 billion kilometers 2 per second 2. So if you multiply a small amount of mass—say, the mass of a penny—by c 2, you'll get a tremendous amount of energy.

  5. E = mc 2: A Biography of the World's Most Famous Equation. by David Bodanis. Berkley Books, 2000. Explore the innovative thinkers behind each piece of the equation, its synthesis by Einstein,...

  6. E = mc 2 Calculator A quick and easy calculator. Energy from Radioactive Decay Atoms falling apart and releasing energy. Energy from Nuclear Fission Pulling atoms apart. Energy from Nuclear Fusion Squeezing atoms together. Special Relativity in 15 Minutes A quick summary of Special Relativity.

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