Two charges of # -3 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 # 2 #?

1 Answer
Feb 17, 2016

Answer:

#F_N~=8,44*10^9N#

Explanation:

#"distance between 2C and 3C is :"4-2=2#
#"distance between -3C and 3C is :"6-2=4#
#"Force between two charges is given by :"F=(k*q_1*q_2)/d^2#
#"Force between 2C and 3C :" F_(2C larr 3C)=(k*2*3)/2^2=(3*k)/2#
#"Force between -3C and 3C :" F_(-3C rarr 3C)=(k*3*(-3))/4^2#
# F_(-3C rarr 3C)=(-9*k)/16#
#"Net Force on the charge of 3C :"F_(2C larr 3C)+F_(-3C rarr 3C )#
#F_N=(3*k)/2-(9*k)/16#
#F_N=(24*k-9*k)/16#
#F_N=(15*k)/16#
#F_N=(15*9*10^9)/16#
#F_N~=8,44*10^9N#