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#36563

equations

formulas

medium

60 sec

The gravitational force $F$ between two objects with masses $m_{1}$ and $m_{2}$ separated by a distance $r$ is given by the formula $F = G \frac{m _{1} m _{2}}{r ^{2}}$ , where $G$ is the gravitational constant. Which equation correctly expresses $r^{2}$ in terms of $F$ , $G$ , $m_{1}$ , and $m_{2}$ ?

A.

$r^{2} = FG m_{1} m_{2}$

B.

$r^{2} = \frac{F}{G m _{1} m _{2}}$

C.

$r^{2} = \frac{G m _{1} m _{2}}{F}$

D.

$r^{2} = \frac{GF}{m _{1} m _{2}}$