Suppose you are standing on a spring scale in an elevator

Chapter , Problem 75

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Suppose you are standing on a spring scale in an elevator that is descending at costant speed in a mine shaft located on the equator. Model Earth as a homogeneous sphere. (a) Show that the force on you due to Earths gravity alone is proportional to your distance from the center of the planet. (b) Assume that the mine shaft is located on the equator and is vertical. Do not neglect Earths rotational motion. Show that the reading on the spring scale is proportional to your distance from the center of the planet.

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