Mountain pull. A large mountain can slightly affect the direction of “down” as determined by a plumb line. Assume that we can model a mountain as a sphere of radius R=2.00 km and density (mass per unit volume) 2.6*103 kg/m3. Assume also that we hang a 0.50 m plumb line at a distance of 3R from the sphere’s center and such that the sphere pulls horizontally on the lower end. How far would the lower end move toward the sphere?

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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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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Mountain pull. A large mountain can slightly affect the
direction of “down” as determined by a plumb line. Assume that
we can model a mountain as a sphere of radius R=2.00 km and
density (mass per unit volume) 2.6*103 kg/m3. Assume also that
we hang a 0.50 m plumb line at a distance of 3R from the sphere’s
center and such that the sphere pulls horizontally on the lower
end. How far would the lower end move toward the sphere?

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