5. In the movie Total Recall with Colin Farrell a large elevator is built through the center of the Earth which is used to quickly transport soldiers to and from battle. If you drop an object through the center of the Earth, the force of gravity on the object varies at different distances away from the Earth's center. Namely the force of gravity gets weaker as the object gets closer and closer to the Earth's center. The magnitude of this force on an object of mass m a distancer from the Earth's center is Fa -GMEmr, where G, ME, and RE are the R gravitational constant (not g), and the mass and radius of the Earth respectively. (a) What is the effective spring constant of this force? (b) How long will it take the elevator to transport soldiers from one side of the Earth to the other? (c) What is the total energy of this oscillation?

5. In the movie Total Recall with Colin Farrell a large elevator is built through the center of the Earth which is used to quickly transport soldiers to and from battle. If you drop an object through the center of the Earth, the force of gravity on the object varies at different distances away from the Earth's center. Namely the force of gravity gets weaker as the object gets closer and closer to the Earth's center. The magnitude of this force on an object of mass m a distancer from the Earth's center is Fa -GMEmr, where G, ME, and RE are the R gravitational constant (not g), and the mass and radius of the Earth respectively. (a) What is the effective spring constant of this force? (b) How long will it take the elevator to transport soldiers from one side of the Earth to the other? (c) What is the total energy of this oscillation?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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