Based on the Law of Conservation of Momentum, explain why the balloon

Based on the Law of Conservation of Momentum, explain why the balloon moves in the opposite direction to the compressed air escaping from it.

Let the inflated balloon be d at rest. When the hole is opened, air begins to escape from the ball away from the ball with a speed v, and therefore has an impulse Pvc. Since the system is closed (it contains only a ball and air escaping from it), the law of conservation of momentum is fulfilled: 0 = pvoz + pball. (the ball was at rest, so the initial momentum of the system is zero). Consequently, the ball will fly in the direction opposite to the air stream. (The momentum of the ball Rshar is directed in the opposite direction).