Respuesta :

VictorZ
Hi there!

F = [tex]\dfrac {km}{r^2}[/tex]

To solve for ' r '
Follow these steps :-

• Multiply r² both sides -

F × r² = [tex]\dfrac {km}{r^2}[/tex] × r²

F × r² = km

• Divide F from both sides -

r² = [tex]\dfrac {km}{F}[/tex]

r = [tex] \sqrt{ km/F } [/tex]

Hence,
Option D. r = [tex] \sqrt{ km/F } [/tex] is Correct

~ Hope it helps!
[tex]F= \frac{km}{r^{2}} \\ \\ \frac{F}{1} = \frac{km}{r^{2}} \\ \\F*r^{2}=km*1 \\ \\r^{2} = \frac{km}{F} \\ \\ \sqrt{r^{2}} = \sqrt{\frac{km}{F}} \\ \\r=\sqrt{\frac{km}{F}} = \sqrt{km/F} \\ \\ Answer:D. r= \sqrt{km/F}[/tex]

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