   Chapter 1, Problem 5P

Chapter
Section
Textbook Problem

Newton’s law of universal gravitation is represented by F = G Mm r 2 where F is the gravitational force, M and m are masses, and r is a length. Force has the SI units kg · m/s2. What are the SI units of the proportionality constant G?

To determine
The SI unit of the proportionality constant (G) of the Newton’s law of universal gravitation formula.

Explanation

Given Info: The equation of the universal gravitation formula

F=GMmr2

Formula to calculate the unit of the proportionality constant is,

G=Fr2Mm

Here,

G is proportionality constant

r is the distance between two mass

F is the gravitational force

m and M are the masses

Substitute the unit (kg-m/s2) for [F], (m2) for [r2], (kg) for Mandm

to find the unit of proportionality constant G

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