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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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Question

Newton's law of universal gravitation is represented by F= G* Mm/ T where F is the gravitational force, M and m are masses, and r is a length. Force has the Sl units kg • m/s?. What are the Sl units of the proportionality constant G? Show the work.

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Step 1

Given data-

The expression for the Newton's law of universal gravitation is given by

$F = G \frac{M m}{r^{2}}$ where $M$ and $m$ are the masses of the different objects, $G$ is the universal gravitational constant and $r$ is the separation between the given masses.

Unit of force is,

$U n i t_{F} = k g . m / s^{2}$

Unit for the universal gravitational constant is required to be found.

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