Two positive point charges, each with charge q, separated by a distance d, repel each other with a force of magnitude 20 n. what is the magnitude of the force between two positive point charges of magnitude 2.58 q, separated by a distance 6.1 d in units of n? enter a number with two digits behind the decimal point.

F = 3.58 N

Explanation:

To solve this problem we apply Coulomb's law:

Two point charges (q1, q2) separated by a distance (d) exert a mutual force (F) whose magnitude is determined by the following formula:

Formula (1)

: Coulomb constant

q1, q2: charge in Coulombs (C)  

d: distance between charges (m)

We apply formula 1 for the two situations presented in the problem:

1) Equation (1)

2) Equation (2)

Solving the equation for d^2

Equation (3)

We replace d^2 from equation (3) in equation (2)

(We eliminate k and q^2)

0.55x745.7j and a calculator