Question

8. Imagine that Elon Musk has drilled a hole in the Earth vertically downward, al the way through the center of the Earth, and reaching the other side. The Earth has radius R- 6.4 × 106 m, so the hole has a total length 2R, and let's assume the Earth has constant density with total mass M 5.98 x 1024 kg. After completing the hole, a baseball of mass m 0.145 kg is dropped downwards into the hole. (a) Show that the baseball undergoes simple harmonic oscillation along the length of the hole. (b) Find the period of oscillations.

Answer 1

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