Two charges of # 9 C # and # -8 C# are positioned on a line at points # -5 # and # -1 #, respectively. What is the net force on a charge of # 7 C# at # 0 #?

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Answer 1 · 2016-04-03T14:11:06

#F_"net"=-481,32*10^9" N"#

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#"There are two forces acting on the object C(green)"#
#"These are:"#

#"1)"F_"AC"=k(q_A*q_C)/d^2#

#q_A=9C" "q_C=7C " "d=5" unit"#

#F_"AC"=k(9*7)/5^2=(63*k)/25#

#"2)"F_"BC"=k*(q_B*q_C)/d^2#

#q_B=-8C" "q_C=7C" "d=1" unit"#

#F_"BC"=k*((-8)*7)/1^2=-(56*k)/1#

#"The net Force acting on the Object C:"#

#F_"net"=(63*k)/25-(56*k)/1#

#F_"net"=(63*k-1400*k)/25#

#F_"net"=-(1337*k)/25#

#F_"net"=-53,48*k#

#k=9*10^9 N*m^2*C^-2#

#F_"net"=-481,32*10^9" N"#