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Feynman says yes, except at very low speeds. https://en.wikipedia.org/wiki/Feynman_sprinkler
that's very interesting! but it's about angular momentum and I'm not confident that I can take the lesson over to linear momentum. Here's my caveman f=ma thought experiment: 1. make it 2-d. 2. replace the fan with a person sitting on a chair on a frictionless surface. 3. instead of air it's an endless field cinder blocks ahead of him. the person reaches out, and pulls in a cinder block. f=ma says they each move towar…
With your concrete block example, as I start pulling the block towards me I experience an impulse forward. But when it approaches my body I slow it down to zero speed, creating an opposite impulse. So although I might have moved forward a few inches during the motion, my momentum is zero at the end. When you scale this up to large numbers of air molecules, the result is the same.