Question

What is the answer to this and what’re the steps

Answer 1

Given:

Force is inversely proportional to the length.

That is,

`\begin{gathered} F\infty(1)/(L) \\ F=(k)/(L)\ldots\ldots\ldots(1) \end{gathered}`

If F=50 pounds then L=9 inches.

So,

`\begin{gathered} 50=(k)/(9) \\ k=450\ldots\ldots\ldots(2) \end{gathered}`

Substitute (2) in (1) we get,

`F=(450)/(L)`

To find the length when F=20 pounds

`\begin{gathered} 20=(450)/(L) \\ L=(450)/(20) \\ L=22.5 \end{gathered}`

Hence, the answer is 22.50 inches.