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Mountain pull. A large mountain can slightly affectthe direction of “down” as de

ID: 1673119 • Letter: M

Question

Mountain pull. A large mountain can slightly affectthe direction of “down” as determined by a plumb line.Assume that we can model a mountain as a sphere of radiusR = 2.00 km and density (mass per unitvolume) 2.6 × 103 kg/m3.Assume also that we hang a 0.250 m plumb line at adistance of 3R from the sphere's center and such that thesphere pulls horizontally on the lower end. How far would the lowerend move toward the sphere? I have no Idea where to even start. Mountain pull. A large mountain can slightly affectthe direction of “down” as determined by a plumb line.Assume that we can model a mountain as a sphere of radiusR = 2.00 km and density (mass per unitvolume) 2.6 × 103 kg/m3.Assume also that we hang a 0.250 m plumb line at adistance of 3R from the sphere's center and such that thesphere pulls horizontally on the lower end. How far would the lowerend move toward the sphere? I have no Idea where to even start.

Explanation / Answer

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