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May 16, 2024

What is the period of the moon’s orbit, to the nearest hour, of the moon if it orbits the Earth in a circular orbit $3.84\times10^8\:\mathrm{m}$ away from the Earth’s center? Assume that the mass of the Earth is $5.97\times10^{24}$ and the universal gravitational constant is $6.67\times10^{-11}$.

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