Answer:
[tex]F = 1.174*10^{-8} N[/tex]
Explanation:
Conceptual analysis:
To solve this problem we apply Coulomb's law:
Two point charges (q1, q2) separated by a distance (d) exert a mutual force (F) whose magnitude is determined by the following formula:
[tex]F = \frac{k*q_{1}*q_{2}}{r^2}[/tex] Formula (1)
[tex]K=8.99*10^9 \frac{N*m^2}{C^2}[/tex]: Coulomb constant
q1, q2 = charge in Coulombs (C)
Known information :
r = 0.14 nm
[tex]1 nm = 10^{-9} m [/tex]
[tex]r=0.14*10^{-9} m [/tex]
[tex]q_{1} = -1,6*10^{-19} C[/tex]
[tex]q_{2} = -1,6*10^{-19} C[/tex]
Development of the problem :
Replacing the information known in formula (1):
[tex]F = \frac{8.99*10^9*1,6*10^{-19}*1,6*10^{-19}}{(0.14*10^{-9})^2}[/tex]
[tex]F = 1.174*10^{-8} N[/tex]
