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course_planning:183_projects:f18_project_14 [2018/12/05 22:47] – hallstein | course_planning:183_projects:f18_project_14 [2018/12/06 01:22] – hallstein | ||
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+ | ====== Project 14: Part B: Pool for the Nobel ====== | ||
- | ====== Project 14: Part B: Deathstar 1.5 ====== | + | {{183_projects:pool.png}} |
- | {{course_planning: | + | Craig and Tom are the leading physicist at their respective research facilities. They are the two leading candidates for the Nobel Prize. |
- | The Empire is in distress after the destruction of the Deathstar. While the rebels are celebrating their success, some of the best engineers in the galaxy are working with Darth Vader and the Emperor to design a new and improved Deathstar $(m = 5.1 * 10^{21}kg, r = 8.0 * 10^7m)$. | + | |
+ | - m< | ||
+ | - m< | ||
+ | - r< | ||
- | One of the workers suggests that instead of using Kyber Crystals to power a laser, they make use of the giant spring and balls of waste that they have. Vader is unsure of how effective | + | |
+ | There is only the 8-ball remaining. Tom realizes he can win this game, but he is going to have to make a difficult shot. He begins doing some calculations using angular momentum. | ||
- | The Sith Lords decide that they will test their weapon on the planet of Tatooine (Tatooine has a $\omega$ of $6.7 * 10^{-20}$), because Vader detests sand due to is coarseness, irritation and how it gets everywhere $(m = 5.0 * 10^{22} kg, r = 1.0 * 10^8m).$ | + | Assuming there is no friction, Tom needs to figure out how fast and at what angle the cue ball needs to travel in order to get the 8-ball into the top right corner pocket. |
- | The ball of solid waste has a radius of $25m$, and is constructed of scraps of Mandalorian iron $(\rho = 8050 kg/m^3)$. The spring that you're launching the waste from has a constant of $9.0 * 10^{10} N/m$, and the Emperor can only compress the spring $20m$ using the Force. The initial tests do not go well and Vader is enraged as he foresaw that this scrap spring weapon would be a failure. The engineer who suggested this idea lays lifeless in the corner. The Emperor infused with the madness of the darkside tries to convince Vader that perhaps the rotation of the planet has been thrown off and that this will result in Tatooine eventually becoming closer to its distant sun and vaporizing itself. The Emperor wants you the stormtrooper physicists to calculate how much of a kinetic energy change the planet Tatooine has experienced due to the collision. | ||
- | [[course_planning: | ||
+ | __**Part 2: Craig' | ||
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+ | Tom, while a brilliant physicist, missed his shot, setting Craig up with the perfect opportunity to win the match and claim his prize. | ||
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+ | __**Part 3: Physicists just cant shoot pool**__ | ||
+ | It turns out Craig blew his shot as well. The judges decided they didn't want to be here all day, so they decided to offer a challenge: Both Tom and Craig were to calculate the angular momentum of the cue ball from Tom's solution relative to the 8-ball before the collision and the rotational angular speed of the 8-ball after the collision. Whoever has the best solution gets the Nobel with a warning to keep their prize money away from pool halls. | ||
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+ | [[course_planning: | ||
*/ | */ | ||
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