Traveling through Earth A hole is drilled through the center of Earth. The gravitational force exerted by Earth on an object of mass m as it goes through the hole is mg(r/R), where r is the distance of the object from Earth’s center and R is the radius of Earth 16.4 x 106 m2. Will an object dropped into the hole execute simple harmonic motion? If yes, find the period of the motion. How does one-half this time compare with the time needed to fly in an airplane halfway around Earth? What assumptions did you make to solve the problem?
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