Question

Suppose r>0 and . . .

F=km/r^2

Solve for r in terms of F, k, and m.

Answer 1

`F= (km)/(r^(2)) \\ \\ (F)/(1) = (km)/(r^(2)) \\ \\F*r^(2)=km*1 \\ \\r^(2) = (km)/(F) \\ \\ \sqrt{r^(2)} = \sqrt{(km)/(F)} \\ \\r=\sqrt{(km)/(F)} = √(km/F) \\ \\ Answer:D. r= √(km/F)`

Answer 2

Hi there!

F =
`\frac {km}{r^2}`

To solve for ' r '
Follow these steps :-

• Multiply r² both sides -

F × r² =
`\frac {km}{r^2}` × r²

F × r² = km

• Divide F from both sides -

r² =
`\frac {km}{F}`

r =
`√( km/F )`

Hence,
Option D. r =
`√( km/F )` is Correct

~ Hope it helps!