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Calculate the energy you get if the Sun is powered by gravitational contraction, and calculate how...

Calculate the energy you get if the Sun is powered by gravitational contraction, and calculate how long you can power the Sun that way. [You'll need the formula for energy released by a sphere of mass M collapsing to a radius R, the Lord Kelvin calculation. If you don't know that formula, you can always re-derive it by using the formula for escape velocity, and then requiring that ALL the Sun “escapes”.

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