Chapter 1 - Section 1.5 - Equations - 1.5 Exercises - Page 56: 32

$m = \frac{r^2F}{GM}$

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