A charge of #2 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 · 2017-04-19T06:41:44

#"The force between two electrical charges :"F=-3.6*10^9N#

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#"Since the sign of the electrical charges is opposite,they attract each other."#
#"Note that The forces is opposite directions."#

#"Firstly ,we should calculate the distance between two electrical charges."#

#"let a represents the distance between two electrical charges."#

#a^2=b^2+c^2#

#a^2=(-1)^2+2^2#

#a^2=1+4=5#

#"The force that two electrical charges act each other, can be "##"calculated using Coulomb's law."#

#F=k*(q_A*q_B)/a^2#

#F=(9*10^9*2*(-1))/5#

#F=-(18*10^9)/5#

#F=-3.6*10^9 N#