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You are floating in space when you realize you have drifted too far from your space ship! You only have 10 minutes of air left.

You are floating in space when you realize you have drifted too far from your space ship! You only have 10 minutes of air left. You weigh 200kg (including your space suit), and are 100m away from your ship (and at rest relative to it). Luckily, you remembered that momentum is conserved, and that you have a 2 kg hammer on your tool belt! How fast would you need to throw your hammer to make it back to the ship before your air runs out?

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