In the diagram, q₁ = +8.60 x 10-6 C,92 +5.10 x 10-6 C, and q3 = -3.30 x 10-6 C.=Find the magnitude of the net force on 92.|— 0.350 m →→→9192magnitude (N)↑0.155 m5+93(Make sure you know the direction of each force!Opposites attract, similar repel.)

In the diagram q 860 x 106 C92 510 x 106 C and q3 330 x 106 CFind the magnitude of the net force on 92 0350 m 9192magnitude N0155 m593Make sure you know the dir class=

Respuesta :

Answer:

Fnet = 9.52 N

Explanation:

Force exerted by q₁ on q₂

[tex]\begin{gathered} F_{12}=\frac{kq_1q_2}{r_{12}^2} \\ \\ F_{12}=\frac{9\times10^9\times8.6\times10^{-6}\times5.1\times10^{-6}}{0.350^2} \\ \\ F_{12}=\frac{0.39474}{0.1225} \\ \\ F_{12}=3.22N \\ \end{gathered}[/tex]

Force exerted by q₃ on q₂

[tex]\begin{gathered} F_{32}=\frac{kq_2q_3}{r_{32}^2} \\ \\ F_{32}=\frac{(9\times10^9)(5.10\times10^{-6})(-3.30\times10^{-6)}}{0.155^2} \\ \\ F_{32}=\frac{-0.15147}{0.024025} \\ \\ F_{32}=-6.30N \end{gathered}[/tex]

The magnitude of the netforce on q₂

[tex]\begin{gathered} F_{net}=|F_{12}|+|F_{32}| \\ \\ F_{net}=|3.22|+|-6.30| \\ \\ F_{net}=3.22+6.30 \\ \\ F_{net}=9.52N \end{gathered}[/tex]