Newton's law of universal gravitation states that the (magnitude of the) gravitational force F be- tween two objects is given by mim2 F =G where G is the gravitational constant, m1, m2 are the masses of the two objects, and r is the distance between the objects. Here G = 6.674 · 10-11 m°kg-s2. A team of amateur astronomers have estimated that mị = 2. 1024 kg, m2 of 1% in each measurement. Use differentials to estimate the maximum relative error (in percent) when the force F is calculated from these measurements. 5- 1023 kg, and r = 1010 m, with a maximum relative error

Newton's law of universal gravitation states that the (magnitude of the) gravitational force F be- tween two objects is given by mim2 F =G where G is the gravitational constant, m1, m2 are the masses of the two objects, and r is the distance between the objects. Here G = 6.674 · 10-11 m°kg-s2. A team of amateur astronomers have estimated that mị = 2. 1024 kg, m2 of 1% in each measurement. Use differentials to estimate the maximum relative error (in percent) when the force F is calculated from these measurements. 5- 1023 kg, and r = 1010 m, with a maximum relative error

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter1: Getting Started

Section: Chapter Questions

Problem 54PQ

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