A charge of #-2 C# is at #(4, -5)# and a charge of #1 C# is at #(-3 , -9 ) #. If both coordinates are in meters, what is the force between the charges?

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Answer 1 · 2017-12-28T20:10:55

#F~=0.27xx10^9 N#

Let #A-=(4,-5) & B-=(-3,-9)#
By distance formula,
#AB=sqrt((y_2-y_1)^2+(x_2-x_1)^2#

#AB=sqrt((-9+5)^2+(-3-4)^2#

#AB=sqrt(16+49)#

#AB=sqrt(65)#

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

#F=(kxx1xx2)/65#

#F=(9xx10^9xx1xx2)/65#

#F~=0.27xx10^9 N#