Two charges of # 6 C # and # -3 C# are positioned on a line at points # -5 # and # 8 #, respectively. What is the net force on a charge of # 6 C# at # 2 #?

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Answer 1 · 2018-01-20T14:29:24

The net force is #=-11.4*10^9N#

The net force between the charges is

#F=k(Q_1Q_3)/r_1^2+k(Q_2Q_3)/r_2^2#

Where #r# is the distance between the charges

The Coulomb Constant is #k=9*10^9Nm^2/C^2#

The charge #Q_1=6C# at #(-5,0)#

The charge #Q_2=-3C# at #(8,0)#

The charge #Q_3=6C# at #(2,0)#

The net force is

#F=910^9*(6*6)/(7)^2+910^9(-3*6)/(6)^2=-11.4*10^9N#

The negative sign indicates that the force is attractive