How much would a simple pendulum deflect due to the gravity of a nearby mountain? As a model of a large mountain, use a sphere of radius R = 2.2 km and mass density = 3000 kg/m³. If a small mass is hung at the end of a string of length 0.90 m at a distance of 3.5 R from the center of the sphere (and assuming the sphere pulls in a horizontal direction on the hanging mass), how far would the small hanging mass deflect under the influence of the sphere's gravitational force?

College Physics
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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
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How much would a simple pendulum deflect due to the gravity of a nearby
mountain? As a model of a large mountain, use a sphere of radius R = 2.2 km
and mass density = 3000 kg/m³. If a small mass is hung at the end of a string
of length 0.90 m at a distance of 3.5 R from the center of the sphere (and
assuming the sphere pulls in a horizontal direction on the hanging mass), how
far would the small hanging mass deflect under the influence of the sphere's
gravitational force?
Your answer should be in μm (micrometers, 10-6 m):
Transcribed Image Text:How much would a simple pendulum deflect due to the gravity of a nearby mountain? As a model of a large mountain, use a sphere of radius R = 2.2 km and mass density = 3000 kg/m³. If a small mass is hung at the end of a string of length 0.90 m at a distance of 3.5 R from the center of the sphere (and assuming the sphere pulls in a horizontal direction on the hanging mass), how far would the small hanging mass deflect under the influence of the sphere's gravitational force? Your answer should be in μm (micrometers, 10-6 m):
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