# Physics

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An 95.0 kg astronaut is working on the engines of a spaceship that is drifting through space with a constant velocity. The astronaut turns away to look at Earth and several seconds later is 26.3 m behind the ship, at rest relative to the spaceship. The only way to return to the ship without a thruster is to throw a wrench directly away from the ship. If the wrench has a mass of 0.530 kg, and the astronaut throws the wrench with a speed of 18.0 m/s, how long does it take the astronaut to reach the ship?

• Physics -

work in inertial coordinate system of spaceship
.530*18 = 95 v conservation of momentum
v = .530*18/95

t = 26.3/v

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