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9. Using Gausss Law for Gravitation (from any reference you can find) show that: a) if you drilled a small cylindrical hole through center of the spherical earth the acceleration due to gravity inside the hole would vary linearly with distance away from the center (thereby making an object falling freely inside the hole undergo simple harmonic motion),and b) of you had a planet that was a hollow spherical shell, the acceleration of gravity inside the shell would be zero everywhere.
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