How to Relate Formulas for Calculating Force Between Charges

[chemboy]

if the following takes place simultaneously

distance between two charges is doubled and one charge is doubled and the other is trippled how do I set this up mathmatically

I understand that when distance doubles (r) then the effect on net charge is .25 of original F
also
I understand that the force between charges when increased as mentioned above, there will the force will increase by 6X

Im thinking simply the answer is 6X the force X .25 but there must be a way to relate the formulas Fe = 1/r^2 and Fe = q1q2/r^2 to show this

If I knew what r was then I could use Fe = kq1q2/r^2

Im worried this is a mathmatical problem and not that I don't understand the theory behind the physics.

any help??

will it end up something like

F = (9.0 X 10^9N*m^2/C^2) X 6(6.0X10^-8 N) / 4

 

[armis]

Consider this:

if a=2b and c=4b then what mathematical operation does one have to do to know how many times c is larger than a?

 

[tiny-tim]

Hi chemboy!

I understand that when distance doubles (r) then the effect on net charge is .25 of original F
also
I understand that the force between charges when increased as mentioned above, there will the force will increase by 6X

Im thinking simply the answer is 6X the force X .25 but there must be a way to relate the formulas Fe = 1/r^2 and Fe = q1q2/r^2 to show this

Yes … that's completely correct!

You looked at the formula q1q2/r², and you correctly said "it's proportional to q1 and to q2, and inversely proportional to the square of r … so it's 2 x 3 / 4".

This "proportion" method works for any formula!

Why are you worried?