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Three charged particles are placed at each of three corners of an equilateral triangle whose sides are of length 2.6 cm . Two of the particles have a negative charge: q 1 = -7.7 nC and q 2 = -15.4 nC . The remaining particle has a positive charge, q 3 = 8.0 nC . What is the net electric force acting on particle 3 due to particle 1 and particle 2?

Respuesta :

Answer:

216.97 X 10⁻⁵ N

Explanation:

Charge q₁ and q₂ will attract q₃ with force F₁ and F₂ .F₁ and F₂ will be calculated as follows

F₁ = [tex]\frac{9\times10^9\times8\times7.7\times10^{-18}}{(2.6\times10^{-2})^2}[/tex]

F₁ = 82.01 X 10⁻⁵ N

F₂= [tex]\frac{9\times10^9\times8\times15.4\times10^{-18}}{(2.6\times10^{-2})^2}[/tex]

F₂ = 164.02 X 10⁻⁵ N

F₁ and F₂ will act at 60 degree so their resultant will be calculated as follows

R² = (82.01 X 10⁻⁵)² +( 164.02 X 10⁻⁵ )² + 2 X 82.01 X 164.02 X 10⁻¹⁰ Cos 60

R² = 47079.48 X 10⁻¹⁰

R = 216.97 X 10⁻⁵ N