Answer:
Correct answer: Fc = 9.22 10⁻¹⁷ N
Step-by-step explanation:
The formula for calculating the Coulomb force between two charged objects, in this case balloons is:
Fc = k · q₁ · q₂ / r² Coulomb force
where it was given:
k = 9 · 10⁹ N m²/C² dielectric constant,
q₁ = q₂ = q = - 1.6 · 10⁻¹⁰ C
r = 5 cm = 5 · 10⁻² m distance between charges
Since the given charges are both negative there is a repulsive force between them.
Fc = k · q² / r² = 9· 10⁹ · (1.6 · 10⁻¹⁰)² / (5 · 10⁻²)²
Fc = 9· 10⁹ · 2.56 · 10⁻²⁰ / 25 · 10⁻⁴ = 0.922 10⁻¹⁶ = 9.22 10⁻¹⁷ N
Fc = 9.22 10⁻¹⁷ N
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