Answer: Suppose a hole is drilled through the center of the Earth and a bowling ball of

Chapter 1, Problem 24

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Suppose a hole is drilled through the center of the Earth and a bowling ball of mass m is dropped into the hole, as shown in FIGURE 1.3.20. Construct a mathematical model that describes the motion of the ball. At time t let r denote the distance from the center of the Earth to the mass m, M denote the mass of the Earth, \(M_{r}\) denote the mass of that portion of the Earth within a sphere of radius r, and \(\delta\) denote the constant density of the Earth.

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