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Mystery #1Tier 2physics / rockets

There is nothing to push against in space, so how does a rocket move at all?

To walk, you push on the ground. To swim, you push on the water. But out in space there is no ground, no water, not even any air to shove against. So how on Earth, or off it, does a rocket manage to move at all?

A Saturn V rocket lifting off in a huge cloud of flame and smoke.
Photo: NASA · Public domain · via Wikimedia Commons

Your guess

What do you think a rocket could possibly push against out in empty space?

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