Two point charges are 3.00 cm apart. They are moved to a new separation of 2.00 cm. By what factor does the resulting mutual force between t

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Two point charges are 3.00 cm apart. They are moved to a new separation of 2.00 cm. By what factor does the resulting mutual force between them change?

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Dâu 3 years 2021-08-17T09:37:05+00:00 1 Answers 37 views 0

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  1. Giakhanh
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    2021-08-17T09:38:45+00:00
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    Answer:

    By a factor of 9/4

    Explanation:

    Applying Coulomb’s law,

    F = kqq’/r²………………. Equation 1

    Assuming q and q’ are the two point charges respectively.

    Where k = coulomb’s constant, r = distance between the charges.

    When the point charges are 3.0 m apart,

    F = kqq’/3²

    F = kqq’/9……………….. Equation 1

    When they are moved to a new distance, 2.00 m

    F’ = kqq’/2²

    F’ = kqq’/4…………….. Equation 2.

    Comparing equation 1 and equation 2.

    F’ = 9F/4

    Hence the resulting mutual force change by a factor of 9/4

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