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Suppose that some time in the future we decide to tap the moons rotational energy for use on earth. In additional to the astronomical data in Appendix F in the textbook, you may need to know that the moon spins on its axis once every 27.3 days. Assume that the moon is uniform throughout.
a) How much total energy could we get from the moons rotation?
b) The world presently uses about 4.0 1020 J of energy per year. If in the future the world uses five times as much energy yearly, for how many years would the moons rotation provide us energy?
c) In light of your answer, does this seem like a cost-effective energy source in which to invest?
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Based on our data, we think this problem is relevant for Professor Taylor's class at USP.