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Suppose the Earth produced as much energy per kilogram each second as the Sun does. What would be the total energy output of the Earth? How would the absolute magnitudes of the Earth and the Sun compare?

Suppose the Earth were made entirely of hydrogen and oxygen, with two atoms of hydrogen for each atom of oxygen. If this hydrogen and oxygen were converted to water, how long could the Earth produce the same luminosity as the Sun?

If gravitational contraction were responsible for the Sun's energy, how long would it take for the Sun's diameter to shrink by 0.1%?

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