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Stargate Atlantis--right or wrong?

Whether you say last night's episode or not, I can describe the scenario.

Two men tethered together in zero gee.

Man # 1 floats free of any other attachment

Man # 2 has his boots magnetized to the city in space

Man # 2 throws Man # 1, then demagnetizes his own boots so that the force propels them both where they want to go.

I say the city would have absorbed the reaction, leaving no extra energy to propel them both. What do you say?

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