Please help! My girlfriends and I are all lost on this. Assuming the earth to be

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Please help! My girlfriends and I are all lost on this.
Assuming the earth to be of uniform density, drill a holethrough the Earth between any two points on the surface of theearth. Install a frictionless tube, and evacuate all the air. Showthat the motion of a subway car placed in this tube is simpleharmonic motion and evaluate the period of the motion. (HINT: Usegravitational equivalent of Gauss's Law.)
Assuming the earth to be of uniform density, drill a holethrough the Earth between any two points on the surface of theearth. Install a frictionless tube, and evacuate all the air. Showthat the motion of a subway car placed in this tube is simpleharmonic motion and evaluate the period of the motion. (HINT: Usegravitational equivalent of Gauss's Law.)

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