A charge of #-6 C# is at #(3, -1 )# and a charge of #-1 C# is at #( 6,-7 )#. If both coordinates are in meters, what is the force between the charges?

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Answer 1 · 2018-01-12T12:57:35

#1.2 * 10^9# N.

First Use The Coordinate Distance Formula to find the distance between the charges.

So, The distance = #sqrt((3 -6)^2 + (- 1 + 7)^2)# metres = #sqrt(45)# metres = #3sqrt(5)# metres.

Now, Simply Use The Coulomb's Formula To Find the Force.

#F = K(q_1q_2)/r^2# Where K is Coulomb's Law Constant, whose value in SI is #9 * 10^9# #(N * m^2)/C^2#.

#rArr F = ((9 * 10^9) * (-6 * - 1))/(3sqrt(5))^2# N = #1.2 * 10^9# N.