2. A 40 kg astronaut is floating in space, initially motionless in the reference frame of her nearby space ship. She has in her possession two 5 kg oxygen canisters. She suddenly notices a small 4 kg asteroid heading straight for her at a speed of 5 m/s. Wanting to avoid a collision she hurls one of the two canisters as hard as she can (3 m/s relative to her frame just before the throw) at the asteroid. The canister hits the asteroid dead on and sticks to it. A) After she throws the canister, what is her velocity relative to the space ship? B) After the canister sticks to the asteroid, what is the asteroid's velocity relative to the ship? C) She then hurls the second canister as hard as she can (3 m/s relative to her frame just before the throw), which again hits the asteroid dead on and sticks to it. What is her velocity relative to the space ship now? D) What is the asteroid's velocity now relative to the ship? Have her actions managed to avoid an impending collision between her and the asteroid?
2. A 40 kg astronaut is floating in space, initially motionless in the reference frame of her nearby space ship. She has in her possession two 5 kg oxygen canisters. She suddenly notices a small 4 kg asteroid heading straight for her at a speed of 5 m/s. Wanting to avoid a collision she hurls one of the two canisters as hard as she can (3 m/s relative to her frame just before the throw) at the asteroid. The canister hits the asteroid dead on and sticks to it. A) After she throws the canister, what is her velocity relative to the space ship? B) After the canister sticks to the asteroid, what is the asteroid's velocity relative to the ship? C) She then hurls the second canister as hard as she can (3 m/s relative to her frame just before the throw), which again hits the asteroid dead on and sticks to it. What is her velocity relative to the space ship now? D) What is the asteroid's velocity now relative to the ship? Have her actions managed to avoid an impending collision between her and the asteroid?
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