## anonymous 3 years ago The force of gravity varies inversely with the square of the distance between given planet and the sun because $F_g=\frac{GMm}{r^2}$

1. anonymous

@Jemurray3

2. anonymous

what is the "varies" symbol again? $F\;\;\; \frac 1{r^2}$

3. anonymous

$\propto$ \propto which is short for "proportional to"

4. anonymous

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

5. anonymous

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. $F \propto \frac{1}{r^2}$