Two charges of # -6 C # and # 4 C# are positioned on a line at points # -5 # and # -2 #, respectively. What is the net force on a charge of # 3 C# at # 1 #?

1 Answer
Feb 9, 2016

Answer:

#F_(3C)=7,5*10^9 " N"#

Explanation:

#"distance between -6C and 3C="1-(-5)=6 " m"#
#r_1^2=6^2=36 #
#"distance between 4C and 3C="(-2)=3 " m"#
#r_2^2=3^2=9#
#"Force between -6C and 3C is attractive:"#
#F_1=(k*(-6)*3)/36#
#F_1=(-18*k)/36#
#"F_1=-k/2#
#"Force between 4C and 3C is:" #
#F_2=(k*4*3)/9#
#F_2=(4*k)/3#
#F_(3C):" Net force acting to charge of 3C"#
#F_(3C)=(4*k)/3-k/2#
#F_(3C)=(8*k-3*k)/6#,
#F_(3C)=(5*k)/6#
#F_(3C)=(5*9*10^9)/6#
#F_(3C)=7,5*10^9 " N"#