Two charges of # -1 C # and # -2 C# are positioned on a line at points # -6 # and # 4 #, respectively. What is the net force on a charge of # 3 C# at # 1 #?

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Answer 1 · 2016-05-14T20:01:34

#vec F_R=-5.45*10^9" "N" attractive force"#

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#"data given:"#

#k=9.10^9 N*m^2*C^-2#

#F=k*(Q_1*Q_2)/r^2" Coulomb's law"#

#Q_1=-1C#

#Q_2=-2C#

#Q_3=3C#

#"solution:"#

#vec F_1=k(Q_1*Q_3)/r^2" ; "vec F_1=k((-1)*3)/7^2" ; "vec F_1=-(3k)/49#

#vec F_2=k(Q_2*Q_3)/R^2" ; "vec F_2=k((-2)*3)/3^2" ; "vec F_2=(-6k)/9#

#vec F_2 > vec F_1#

#vec F_R=vec F_2- vec F_1 #

#vec F_R=-(6k)/9+(3k)/49#

#vec F_R= (-294k+27k)/441#

#vec F_R=(-267k)/441" ; "vec F_R=-(267*9*10^9)/441#

#vec F_R=-5.45*10^9" "N" attractive force"#