KJ4UTS
  • KJ4UTS
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
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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KJ4UTS
  • KJ4UTS
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welshfella
  • welshfella
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?
welshfella
  • welshfella
- replace the x in the formula by 2x

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More answers

KJ4UTS
  • KJ4UTS
Well if we double the distance doesn't the force get weaker?
KJ4UTS
  • KJ4UTS
@welshfella
welshfella
  • welshfella
yes - but by how much?
welshfella
  • welshfella
replace x in the formula by 2x
welshfella
  • welshfella
F = k / (2x)^2 = ?
welshfella
  • welshfella
what is the square of 2x?
KJ4UTS
  • KJ4UTS
the force is squared?
welshfella
  • welshfella
Dont jump to conclusions simplify the formula first
welshfella
  • welshfella
|dw:1444156433340:dw|
KJ4UTS
  • KJ4UTS
F=k / 4x^2
welshfella
  • welshfella
right!! now compare the original equatiuon with thius one F = k / x^2 and F = k / 4x^2
welshfella
  • welshfella
the new force is weaker by how much?
welshfella
  • welshfella
|dw:1444156610758:dw|
KJ4UTS
  • KJ4UTS
k/4x^2 so is it stronger by 4?
welshfella
  • welshfella
No - as you said earlier it must be weaker - the original formula is multiplied by 1/4
KJ4UTS
  • KJ4UTS
I see I made a mistake yeah it would be weaker so its multiplied by 1/4 then
welshfella
  • welshfella
-Yes - when you multiply something by 1/4 its the same as dividing by 4
KJ4UTS
  • KJ4UTS
I see thank you :)
welshfella
  • welshfella
5th option is correct yw

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