Question

Calculate the net force on particle q1.

Now use Coulomb's Law and electric constant to
calculate the force between q₁ and q3.
F₁ = -14.4 N
+13.0 μC
q1
0.25 m
q1q3
2
F2 = ket
ke = 8.99 × 10⁹
r = 0.55 m
+7.70 C
+q2
F₂ = +[?] N
0.30 m
-5.90 C
q3
Enter

Answer 1

99.64 N

Step-by-step explanation:

To calculate the net force on particle q1, we need to consider both the force F₁ and the force F₂. Given that F₁ = -14.4 N, we already have that value. Now let's calculate the force between q₁ and q₃ using Coulomb's Law.

Coulomb's Law states that the force between two charged particles is given by:

F = (k * |q₁ * q₃|) / r²

where F is the force, k is the electric constant (k = 8.99 × 10⁹ Nm²/C²), q₁ and q₃ are the magnitudes of the charges, and r is the distance between them.

Substituting the given values into the formula:

F₂ = (8.99 × 10⁹ * |(+13.0 μC) * (+7.70 C)|) / (0.30 m)²

To simplify the calculation, we need to convert the charges into coulombs:

13.0 μC = 13.0 × 10⁻⁶ C

7.70 C remains the same

Now we can calculate the force:

F₂ = (8.99 × 10⁹ * |(13.0 × 10⁻⁶ C) * (7.70 C)|) / (0.30 m)²

F₂ ≈ (8.99 × 10⁹ * (0.0001001 C²)) / 0.09 m²

F₂ ≈ 8.99 × 10⁹ * 0.0011122 C² / 0.09 m²

F₂ ≈ 99.964 N

Therefore, the force between q₁ and q₃ (F₂) is approximately 99.964 N.