Two charges of # 6 C # and # -3 C# are positioned on a line at points # -7 # and # 5 #, respectively. What is the net force on a charge of # -3 C# at # 2 #?

1 Answer
Jan 20, 2018

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

Explanation:

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 #(-7,0)#

The charge #Q_2=-3C# at #(5,0)#

The charge #Q_3=-3C# at #(2,0)#

The net force is

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

The positive sign indicates that the force is repulsive