Question

The force of gravity varies inversely with the square of the distance between given planet and the sun because
\[F_g=\frac{GMm}{r^2}\]

Answer 1

@Jemurray3

Answer 2

what is the "varies" symbol again?

\[F\;\;\; \frac 1{r^2}\]

Answer 3

\[ \propto \]
\propto which is short for "proportional to"

Answer 4

"varies inversely" means proportional to \(\frac 1 r\) correct?
\(\frac 1 {r^2}\)

Answer 5

if A varies inversely with B, you say
\[ A \propto \frac{1}{B} \]
here, you're saying "The force (A) is varies inversely with the square of the distance (B)". So A is the force, and B is r^2.
\[ F \propto \frac{1}{r^2} \]