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

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Answer 1 · 2016-03-23T18:38:52

#F_"net"=5,04*10^9" "N#

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#F_"AC"=k*(q_A*q_C)/d^2" "F_"AC"=k*((-4)*(-4))/7^2#
#F_"AC"=(16k)/49#

#F_"BC"=k*(q_B*q_C)/d^2" "F_"BC"=k*((-2)*(-4))/3^2#
#F_"BC"=(8k)/9#

#F_"net"=F_"BC"-F_"AB"#

#F_"net"=(8k)/9-(16k)/49#

#F_"net"=k[(392k-144k)/441]#

#F_"net"=k[0,56]#
#F_"net"=9*10^9*0,56#
#F_"net"=5,04*10^9" "N#