A charge of #-3 C# is at #(4 , -6 )# and a charge of #-1 C# is at #( 2,-5 )#. If both coordinates are in meters, what is the force between the charges?

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Answer 1 · 2017-12-24T16:33:32

THe force is #=5.4*10^9N#

The net force is

#F=k(q_1*q_2)/r^2#

The charge #q_1=-3C#

The charge #q_2=-1C#

The distance #r=sqrt((2-4)^2+(-5-(-6))^2)=sqrt(5)#

The constant #k=9*10^9Nm^2C^-2#

Therefore,

# F= 9*10^9 ((-3) *(-1)) / 5 #

#=+5.4*10^9N#

The #+# sign indicates that the force is repulsive.