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Calculating the Effect of Distance on Force
If the distance between two charge particles is increased by four, the force will decrease by a factor of

16

Explanation:

The magnitude of the electrostatic force between two charged particles is given by

where

k is the Coulomb's constant

q1, q2 are the charges of the two particles

r is the separation between the particles

In this problem, the initial force between the particles is F.

Later, the distance between the two particles is increased by four, so

r' = 4r

So, the new force between the particles will be

So, the new force decreases by a factor of 16.

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