Conceptual question on momentum

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Bob Loblaw
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Homework Statement



An astronaut is on a space walk when his tether breaks. He has no rocket pack, only a big wrench. How does he get back to the ship?

Homework Equations



p=mv

The Attempt at a Solution



I have no idea. I imagined him using the wrench as some sort of "paddle" as he space-canoed his way back to the ship. Any more realistic ideas?
 
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Think conservation of linear momentum. paddle won't work because there's only empty space there... nothing to push against.