Problem_of_the_Week_7 - the amount of energy required to...

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Problem of the Week # 7 In the rough approximation that the density of the Earth is uniform throughout its interior, the gravitational force on a mass m inside the Earth at a distance r from the center is mgr R , where R is the radius R of the Earth. (Note that at the surface r = R , and the gravitational force is mgR R = mg .) Using this uniform-density approximation, calculate
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Unformatted text preview: the amount of energy required to move a mass m from the center of the Earth to the surface, through a tiny hole, without changing its speed. Also calculate the additional amount of energy required to move the mass from the surface of the Earth to a great distance away, without changing its speed....
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