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 tripled, then the new electrostatic force will be _____ units

Answer 1

Objects 1 and 2 attract each other with an electrostatic force of 18.0 units. If the distance separating objects 1 and 2 is tripled, then the new electrostatic force will be 162 units.

What is electrostatic force?

The non-contact forces which pull or push on objects without touching them is referred to as electrostatic force.

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

Electrostatic force will be:

$F=\frac{1}{4\pi\epsilon_{0} }\frac{(q^2)}{(r^2)}$

From the relation one can note that electrostatic force is inversely proportional to square of distance as given below:

$\frac{F_{new}}{F}=\frac{r^2}{r^2_{new}}$

$F_{new}=9F$

$F_{new}=9*18$

$F_{new}=162$

Thus, the answer is 162 units.

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