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1. The acceleration due to gravity g of the bob at the earth's surface is given by the Newton's universal law of gravitation as GM 8 = 72 where G 6.67 x 10-11 N-m2/kg2 (universal gravitational constant), M = 5.98 x 1024 kg (earth mass), r = 6.38 × 106 m (bob - earth center distance). Derive an algebraic expression for the error in gravity 6g due to the uncertainty in r. You may assume that the errors &G and SM are zero.

1. The acceleration due to gravity g of the bob at the earth's surface is given by the Newton's universal law of gravitation as GM 8 = 72 where G 6.67 x 10-11 N-m2/kg2 (universal gravitational constant), M = 5.98 x 1024 kg (earth mass), r = 6.38 × 106 m (bob - earth center distance). Derive an algebraic expression for the error in gravity 6g due to the uncertainty in r. You may assume that the errors &G and SM are zero.

College Physics
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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1. The acceleration due to gravity g of the bob at the earth's surface is given by the Newton's universal law of gravitation as GM 8 = 72 where G 6.67 x 10-11 N-m2/kg2 (universal gravitational constant), M = 5.98 x 1024 kg (earth mass), r = 6.38 × 106 m (bob - earth center distance). Derive an algebraic expression for the error in gravity 6g due to the uncertainty in r. You may assume that the errors &G and SM are zero.
Transcribed Image Text:1. The acceleration due to gravity g of the bob at the earth's surface is given by the Newton's universal law of gravitation as GM 8 = 72 where G 6.67 x 10-11 N-m2/kg2 (universal gravitational constant), M = 5.98 x 1024 kg (earth mass), r = 6.38 × 106 m (bob - earth center distance). Derive an algebraic expression for the error in gravity 6g due to the uncertainty in r. You may assume that the errors &G and SM are zero.
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