Two balloons with charges of +5.00 µC and -8.00 C attract each other with a force of 0.0626 N. Determine the separation distance between the two balloons.
Given k =9.0 x 109 Nm2/C2
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Repeated subtraction is a method of subtracting the equal number of items from a larger group. It is also known as division. If the same number is repeatedly subtracted from another larger number until the remainder is zero or a number smaller than the number being subtracted, we can write that in the form of division
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q₁ = 5 μC
q₂ = - 8. μC
F = 0.0626 N
Let the distance between the two balloons be d.
We know that, force between two charges is given by coulomb's law.
Hence, by Coulomb's law,
F = (1/4πε₀) [(q₁ q₂) / d²]
∴ 0.0626 = (9 × 10⁹) ( 5× 10⁻⁶ × 8. × 10⁻⁶ ) ÷ d²
∴ d² = 5.75≈ 6
∴ d = 2.44m
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