Question

HELP! The force of attraction between two magnets F Newtons is inversely proportional to the square of the distance, d between the magnets.
When the magnets are certain distance, the force is 10 Newtons. What is the force when this distance is doubled?
-Please show your working as well.

Answer 1

\[F=k/d ^{2}\]

Answer 2

F=10 N, when distance is doubled, the distance squared is multiplied by 4 so the force would be 1/4. So the answer is F=10/4 Newtons or 2.5 Newtons

Answer 3

Think of it this way:\[\frac{1}{d^2}\longrightarrow \frac{1}{(2d)^2}=\frac{1}{4}\left(\frac{1}{d^2}\right)\], which is clearly one quarter of the original.

Answer 4

So I multiply the force 10N with 1/4 as well?

Answer 5

Exactly.

Answer 6

Okay, thank you so much! :)

Answer 7

nice dude
yakeyglee