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6 May, 10:38

Some astronomers have theorized that galaxies (matter) and antigalaxies (antimatter) have existed. Each galaxy contains about 1011 masses of the Sun. Calculate the total energy released if a matter-antimatter galaxy pair annihilated. The mass of the Sun is 1.9 * 1030 kg and the speed of light is 3 * 108 m/s. 1. 3.42e+58 2. 3.42e+58 3. 3.42e+58 4. 3.42e+58 5. 3.42e+58 6. 3.42e+58 7. 3.42e+58 8. 3.42e+58 9. 3.42e+58 10. 3.42e+58 Answer in units of J.

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  1. 6 May, 11:27
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    3.42e+58J

    Explanation:

    Energy E=mc^2

    C=speed of light=3*10^8

    m=mass

    Note that each planet contains 10^11 masses of the sun.

    Energy released = (10^11*1.9*10^30) * (3*10^8) ^2

    Therefore, Energy released by the matter=1.71*10^58

    And the energy released by the antimatter is also 1.71*10^58

    Therefore total energy released by both matter and antimatter = (1.71+1.71) * 10^58

    =3.42e+58J
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