The force of repulsion between the south poles of two magnets is inversely proportional to the square of the distance between them. If the distance between the magnets doubles, what is the effect on the force?

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The force of repulsion between the south poles of two magnets is inversely proportional to the square of the distance between them. If the distance between the magnets doubles, what is the effect on the force?

Mathematics
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F = k / x^2 where k is a constant and x = distance so if we double the distance x what happens to the value of F?
- replace the x in the formula by 2x

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Other answers:

Well if we double the distance doesn't the force get weaker?
yes - but by how much?
replace x in the formula by 2x
F = k / (2x)^2 = ?
what is the square of 2x?
the force is squared?
Dont jump to conclusions simplify the formula first
|dw:1444156433340:dw|
F=k / 4x^2
right!! now compare the original equatiuon with thius one F = k / x^2 and F = k / 4x^2
the new force is weaker by how much?
|dw:1444156610758:dw|
k/4x^2 so is it stronger by 4?
No - as you said earlier it must be weaker - the original formula is multiplied by 1/4
I see I made a mistake yeah it would be weaker so its multiplied by 1/4 then
-Yes - when you multiply something by 1/4 its the same as dividing by 4
I see thank you :)
5th option is correct yw

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