Respuesta :

Given:

F varies inversely with d²

So,

[tex]\begin{gathered} F\propto\frac{1}{d^2} \\ \\ F=\frac{k}{d^2} \end{gathered}[/tex]

Where (k) is the proportionality constant

We will find the value of (k) using the given condition

When F=21, d= 7

Substitute with (F) and (d):

[tex]\begin{gathered} 21=\frac{k}{7^2} \\ k=21\cdot7^2=21\cdot49=1029 \end{gathered}[/tex]

So, the answer will be:

The general formula to describe the variation is:

[tex]F=\frac{1029}{d^2}[/tex]