====== Project 14: Part B: Saving the Galaxy ======
====== Project 14: Part B: Saving the Galaxy ======
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You, Carth Orasi, are part of the Red Squadron, a group of X-Wing star fighters serving as part of the Rebel Alliance. Admiral Ackbar has tasked your group with the destruction of the Empire's galactic super-weapon: the Death Star. In order to destroy the space station, you must overload its generator.
You, Carth Orasi, are part of the Red Squadron, a group of X-Wing star fighters serving as part of the Rebel Alliance. Admiral Ackbar has tasked your group with the destruction of the Empire's galactic super-weapon: the Death Star. In order to destroy the space station, you must overload its generator.
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The generator looks like a windmill and consists of two solid rods rotating about their center with an initial angular velocity of 2,000 rad/s. Each rod as a length of 8 m and has a mass of 2,000 kg. The generator is anchored down but is free to rotate. In order to overload the generator, it must reach an angular velocity of 10,000 rad/s.
The generator looks like a windmill and consists of two solid rods rotating about their center with an initial angular velocity of 2,000 rad/s. Each rod as a length of 8 m and has a mass of 2,000 kg. The generator is anchored down but is free to rotate. In order to overload the generator, it must reach an angular velocity of 10,000 rad/s.
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Your plan to overload the generator needs two X-Wing fighters. The first will shoot a solid, spherical bullet of mass 100 kg towards the generator. The second X-Wing fighter will shoot a proton torpedo. The torpedo is launched with a spring constant of 1.8x10$^{-3}$ and has a mass of 50 kg. The bullet and torpedo collide mid-air and fly towards the generator.
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Your plan to overload the generator needs two X-Wing fighters. The first will shoot a solid, spherical bullet of mass 100 kg towards the generator. The second X-Wing fighter will shoot a proton torpedo. The torpedo is launched with a spring constant of 1.8x10$^{13}$ and has a mass of 50 kg. The bullet and torpedo collide mid-air and fly towards the generator.
How far must the X-Wing's spring be compressed and how fast must the bullet be fired on order to destroy the Death Star?
How far must the X-Wing's spring be compressed and how fast must the bullet be fired on order to destroy the Death Star?
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__**Self Assessment**__
__**Self Assessment**__
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For this week's in-class score, you will self assess. In this, each group member should write out a summary of this week's work focusing on both individual and group contributions. In addition, you should assign yourself a score between 0 and 4, with 4 being max for each of the categories:
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For this week's in-class score, you will self assess. In this, each group member should write out a summary of this week's work focusing on both individual and group contributions. In addition, you should assign yourself a score between 0 and 100, with 100 being max for each of the categories: