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It probably would... If the metal wall area were small enough and not grounded. As the charged balloon touches the conductive metal wall, the wall quickly 'absorbs' and spreads the unbalanced charge throughout it's mass. (It only conducts away the charge from the part of the balloon touching the wall...) After dissipating the unbalanced charge from the balloon, there's no 'positive' / 'negative' charge separation to cause an attractive force so the balloon doesn't stick. In other words, the balloon looses part of its charge to the wall that has a much greater ability to store and spread electrical charges. Conductors, such as the metal wall, cannot be forced to maintain localized charge imbalances (like insulators can) as the imbalances are quickly conducted away. The electroscope experiment shows that conductors (small, ungrounded) CAN maintain net electrical charges (the foil leaves spread due to their holding like charges).

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Q: Why does a balloon stick to a wood wall but not a metal one?
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