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(Gauss's Law for Mass) Journey through the Center of the Earth. A 10²⁴-kg blue ball is dropped from an initial z-position of 3 x 10⁶ m through the center of a planet with radius 6.8 x 10⁶ m. If the mass of the planet is 46.8 x 10¹⁵ kg, measure the displacement of the ball at time t = 4 s.

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