Question 1 1 pts An elevator shaft is drilled directly through the Earth along its diameter, running from near Buenos Ai

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Question 1 1 Pts An Elevator Shaft Is Drilled Directly Through The Earth Along Its Diameter Running From Near Buenos Ai 1 (69.01 KiB) Viewed 18 times

Question 1 1 pts An elevator shaft is drilled directly through the Earth along its diameter, running from near Buenos Aires to near Shanghai. An elevator car with a physicist inside is dropped through the shaft. Show that the motion of the elevator car is simple harmonic motion and find an expression for the time period of the motion in terms of p (the density of Earth) and G. From the time period, calculate the shortest time for the physicist to reach the Shanghai end if dropped in the Buenos Aires end at t = 0. For this problem assume that the radius of the Earth is Rg = 6.37 x 106 m, that the mass of the Earth is Mg = 5.972 x 1024 kg, that the density of the Earth is uniform, and that the Earth is a perfect sphere. (Hint: you will need to have an expression for how g depends on radius r inside the Earth.) Give your answer to exactly 3 significant figures, in minutes. G= 6.67 x 10-11 Nm²/kg². Mins