Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 1 - Section 1.5 - Equations - 1.5 Exercises - Page 56: 40


$r = \sqrt {\frac{GmM}{F}}$

Work Step by Step

$Solve$ $the$ $equation$ $for$ $the$ $indicated$ $variable:$ $F = G\frac{mM}{r^2};$ $for$ $r$ Solve for $r$ Multiply both sides by $r^2$ $r^2\times F = r^2(G\frac{mM}{r^2})$ $r^2F = GmM$ Divide both sides by $F$ $\frac{r^2F}{F} = \frac{GmM}{F}$ $r^2 = \frac{GmM}{F}$ Square root both sides $\sqrt {r^2} = \sqrt {\frac{GmM}{F}}$ $r = \sqrt {\frac{GmM}{F}}$
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