Question:

Distance and force relationship?

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I need help answering this question. If somebody could show me the steps, it would be greatly appreciated.

Two charges attract each other with a force of 1.2 N. What will be the force if the distance between the two is reduced to 1/9 the original volume?

I know that the force will be greater, but I'm not sure how to find out the exact value of that force.

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  1. The charges being the same, the eletrostatic force is inversely proportional to the square of their distance.

    F2 / F1 = (d1 / d2)^2

    F2 = F1 (d1 / d2)^2

    Since d1 = 9 d2

    F2 = 81 F1

    F2 = 81 * 1.2 N

    F2 = 97.2 N


  2. If both elements attract each other then the force your looking for has no value. To capture negative energy is to capture a black hole.

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