March 30, 2017

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An 80.9 kg astronaut is taking a space walk to work on the engines of his ship, which is drifting through space with a constant velocity. The astronaut, wishing to get a better view of the Universe, pushes against the ship and much later finds himself 30.3 m behind the ship. Without a thruster or tether, the only way to return to the ship is to throw his 0.504 kg wrench directly away from the ship. If he throws the wrench with a speed of 19.8 m/s relative to the ship, how long does it take the astronaut to reach the ship?

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