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To conserve momentum. Momentum before = momentum after.Dunno get your aerolas out and swing them about , since the balloon is not initially moving (when you hold the opening shut), the momentum before is mv, v = 0 so m(0) = 0 kgm/s. After you let go of it, the air pressure escapes backwards and pushes the balloon in the opposite direction,oh my god i.e. in the forward direction (Newton's 3rd law - reaction pairs). This mean that the air escaping has negative momentum and the balloon moving forward has positive momentum

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Q: Why does a balloon fly when air is released?
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