two equal charges with magnitude Q and Q experience a force F1 when held at a di

Question

two equal charges with magnitude Q and Q experience a force F1 when held at a distance r. F2 is the force between two charges of magnitude 8*Q and 10*Q when held at a distance r/10. what is the ratio of F2 to F1?
two equal charges with magnitude Q and Q experience a force F1 when held at a distance r. F2 is the force between two charges of magnitude 8*Q and 10*Q when held at a distance r/10. what is the ratio of F2 to F1?
two equal charges with magnitude Q and Q experience a force F1 when held at a distance r. F2 is the force between two charges of magnitude 8*Q and 10*Q when held at a distance r/10. what is the ratio of F2 to F1?

Explanation / Answer

we have F1 = k * Q * Q / r^2

F1 = k * Q^2 / r^2

and

F2 = k * (8*Q) * (10 *Q) / (r/10)^2

F2 = 80 * k * Q^2 / (r^2/100)

F2 = 8000 k * Q^2 / r^2

F2 / F1 = (8000 k * Q^2 / r^2) / (k * Q^2 / r^2)

F2 / F1 = 8000

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