When a balloon becomes negatively charged, it has an excess of electrons. This charge will interact with other charged objects based on the principles of electrostatics, specifically the attraction and repulsion between charges:
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Attraction to a Sweater: When you rub a balloon on a sweater, the friction can transfer electrons from the sweater to the balloon, giving the balloon a net negative charge and the sweater a net positive charge (due to loss of electrons). Since opposite charges attract, the negatively charged balloon is attracted to the positively charged regions of the sweater. This electrostatic attraction is quite strong because of the large difference in charge between the balloon and the sweater.
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Interaction with a Wall: A wall, which typically has a neutral charge overall, contains both positive and negative charges. If you bring a negatively charged balloon near a neutral wall, the electric field created by the charged balloon can induce a separation of charges in the wall (this is known as polarization). The electrons in the wall will be repelled, causing the positive charges (due to the remaining protons) to be closer to the balloon. While the balloon may experience some attraction to these induced positive charges, this effect is generally weaker compared to the attraction experienced with a positively charged object, such as the sweater.
Additionally, many factors can affect the extent of attraction: the distance between the balloon and the objects, the surfaces of the materials involved, and their respective capacities to hold a charge. In general, the stronger the net charge difference between two objects, the stronger the attraction between them. Thus, the attraction between the negatively charged balloon and the positively charged sweater will be stronger than the interaction with a wall that contains both negative and positive charges.