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

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Answer 1 · 2016-04-08T19:16:54

#F=0,36*10^9" N"#

#"distance between two points :"#

#r=sqrt((-1-6)^2+(5+5)^2)#
#r=sqrt((-7)^2+10^2)#
#r=sqrt(49+100)#

#r=sqrt149#

#r^2=149#
#q_1=-2C#
#q_2=-3C#

#"force between two charges is given by Coulomb's law as:"#

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

#F=k((-2)*(-3))/149#

#F=9*10^9*6/149#

#F=(54*10^9)/149#

#F=0,36*10^9" N"#