200k views
3 votes
The gravitational attraction betweentwo bodies varies inversely as thesquare of the distance between them.If the force of attraction is 64 poundswhen the distance between the bodiesis 9 feet, what is the distance betweenthem when the force is 36 pounds?

1 Answer

7 votes

The force for the case 1 is 64 pounds and the distance is 9 feet, it is:


\begin{gathered} (k)/(9^2)=64 \\ k=5184 \end{gathered}

Now, if the force is 36 pounds, let solve for the distance:


\begin{gathered} (k)/(r^2)=36 \\ (5184)/(r^2)=36 \\ r^2=144 \\ r=12 \end{gathered}

Hence the answer is 12 feet.

User Wiwiweb
by
8.3k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories