The magnitude of each charge on the two given balloons is determined as 5.27 x 10⁻⁷ N.
The magnitude of each charge on the balloon is calculated by applying Coulomb's law as shown below;
F = kq²/r²
where;
kq² = Fr²
q² = Fr²/k
q² = (0.01 x 0.5²) / (9 x 10⁹)
q² = 2.778 x 10⁻¹³
q = √(2.778 x 10⁻¹³)
q = 5.27 x 10⁻⁷ N
Thus, the magnitude of each charge on the two given balloons is determined as 5.27 x 10⁻⁷ N.
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