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26 August, 11:54

How much energy would be released if we could completely convert the mass of a 4.50 kilogram rock into energy? Joules One "megaton" is the amount of energy released by the detonation of 1 million tons of dynamite. One megaton is equal to 4.0 x 1015 Joules. How many megatons of energy would be released by the conversion of this rock into energy?

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  1. 26 August, 15:23
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    4.05 x 10^17 J

    101.25 megaton

    Explanation:

    mass of rock, m = 4.5 kg

    velocity of light, c = 3 x 10^8 m/s

    According to the Einstein mass energy equivalence

    Energy, E = m x c^2

    E = 4.5 x 3 x 3 x 10^16 = 4.05 x 10^17 J

    According to the question, 1 megaton = 4 x 10^15 J

    So, 4.05 x 10^17 J = 4.05 x 10^17 / (4 x 10^15) Megaton = 101.25 megaton

    Thus, teh energy released by 4.5 kg rock is 101.25 megaton.
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