The two charges are then brought closer together so that the force between them increases by a factor of 25. By what factor was their separation decreased

Explanation:

The forces between two charges is inversely proportional to the square of distance.

So  if the distance is half  then the force increases by a factor of 4 . if force between the charges increases by a factor of 25 then separation between them is decreased by a factor of  5 i.e distance between them is 1/5.    

step-by-step explanation:

we are given

we have to simplify it

firstly, we will factor it

now, we can cancel like terms

now, we can combine it

so, we get

explanation:

newton's third law, for every action there is an equal and opposite reaction.