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24 September, 04:46

The force between two objects, each of charge - Q is measured as + F when the objects are separated a distance 2d apart. If the charge on only one object is tripled, determine the new force between them:

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  1. 24 September, 05:08
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    Fnew = k (-3Q * (-Q)) / (2d) ²

    Fnew = k * 3Q² / 4d²

    Explanation:

    This is Coulomb's law

    F = k (q₁*q₂) / r²

    F - electric force

    k - Coulomb constant

    q₁, q₂ - charges

    r - distance of charges

    Starting situation : q₁ = - Q, q₂ = - Q, r = 2d

    F = k (-Q * (-Q)) / (2d) ²

    F = k * Q² / 4d²

    NEW FORCE : q₁ = - 3Q, q₂ = - Q, r = 2d

    Fnew = k (-3Q * (-Q)) / (2d) ²

    Fnew = k * 3Q² / 4d²
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