Objects 1 and 2 attract each other with a electrostatic force of 18.0 units. If the distance separating Objects 1 and 2 is changed to one-th

Question

Objects 1 and 2 attract each other with a electrostatic force of 18.0 units. If the distance separating Objects 1 and 2 is changed to one-third the original value, then the new electrostatic force will be _____ units.

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Thanh Hà 3 months 2021-07-26T01:46:24+00:00 1 Answers 2 views 0

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    2021-07-26T01:47:44+00:00

    Answer:

    New force will become 162 units

    Explanation:

    Let the charge on each object is q and distance between then is r

    Electrostatic force between to object is given by

    F=\frac{1}{4\pi \epsilon _0}\frac{q^2}{r^2}

    From the relation we can see that electrostatic force is inversely proportional to square of distance between them

    Therefore \frac{F_{new}}{F}=\frac{r^2}{r_{new}^2}

    Now  new distance r_{new}=\frac{r}{3}

    So \frac{F_{new}}{F}=\frac{r^2}{(\frac{r}{3})^2}

    F_{new}=9F

    F_{new}=9\times 18=162units

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