Question

the formula $f = \frac{gmm}{r^{2}}$ gives the gravitational force between two. a. $m = \frac{gr^{2}}{fm}$ b. $m = \frac{gm}{r^{2}f}$ c. $m = \frac{m}{gr^{2}f}$ d. $m = \frac{r^{2}f}{gm}$

Explanation:

Step1: Isolate $m$ in $F = \frac{GmM}{r^{2}}$.

Multiply both sides by $r^{2}$: $Fr^{2}=GmM$.

Step2: Solve for $m$.

Divide both sides by $GM$: $m=\frac{r^{2}F}{GM}$.

Answer:

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