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KJ4UTS

  • one year ago

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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  1. KJ4UTS
    • one year ago
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  2. welshfella
    • one year ago
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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?

  3. welshfella
    • one year ago
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    - replace the x in the formula by 2x

  4. KJ4UTS
    • one year ago
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    Well if we double the distance doesn't the force get weaker?

  5. KJ4UTS
    • one year ago
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    @welshfella

  6. welshfella
    • one year ago
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    yes - but by how much?

  7. welshfella
    • one year ago
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    replace x in the formula by 2x

  8. welshfella
    • one year ago
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    F = k / (2x)^2 = ?

  9. welshfella
    • one year ago
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    what is the square of 2x?

  10. KJ4UTS
    • one year ago
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    the force is squared?

  11. welshfella
    • one year ago
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    Dont jump to conclusions simplify the formula first

  12. welshfella
    • one year ago
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    |dw:1444156433340:dw|

  13. KJ4UTS
    • one year ago
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    F=k / 4x^2

  14. welshfella
    • one year ago
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    right!! now compare the original equatiuon with thius one F = k / x^2 and F = k / 4x^2

  15. welshfella
    • one year ago
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    the new force is weaker by how much?

  16. welshfella
    • one year ago
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    |dw:1444156610758:dw|

  17. KJ4UTS
    • one year ago
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    k/4x^2 so is it stronger by 4?

  18. welshfella
    • one year ago
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    No - as you said earlier it must be weaker - the original formula is multiplied by 1/4

  19. KJ4UTS
    • one year ago
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    I see I made a mistake yeah it would be weaker so its multiplied by 1/4 then

  20. welshfella
    • one year ago
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    -Yes - when you multiply something by 1/4 its the same as dividing by 4

  21. KJ4UTS
    • one year ago
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    I see thank you :)

  22. welshfella
    • one year ago
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    5th option is correct yw

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