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--- course_planning:183_projects:f18_project_14 [2018/12/05 22:57] – hallstein
+++ course_planning:183_projects:f18_project_14 [2018/12/06 17:48] (current) – hallstein
@@ Line 24: / Line 24: @@
 Good Luck!
-/*
-====== Project 14: Part B: Poll for the Nobel ======
-{{course_planning:183_projects:deathstar_1.5.png|}}
+====== Project 14: Part B: Pool for the Nobel ======
-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 $(m = 5.1 * 10^{21}kg, r = 8.0 * 10^7m)$.
+{{183_projects:pool.png}}
-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 this will be, and believes that the amount of energy they need can only be achieved by the laser, but the Emperor has become a bit addled from all the force lightning coursing through his veins believes this to be a great idea. This new version of the Deathstar includes a gravitational field dampener which prevents itself and any planet close to it having a gravitational force.
+Craig and Tom are the leading physicist at their respective research facilities.  They are the two leading candidates for the Nobel Prize.  Come day of the award, the committee of the prize cannot come to an agreement about who deserves the award.  Instead of voting, they decide to hold a single match of pool.
-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 $(m = 5.0 * 10^{22} kg, r = 1.0 * 10^8m).$
+   - m<sub>stick</sub> = 0.5 kg
+   - m<sub>cue</sub> = 0.17 kg
+   - m<sub>8-ball</sub> = 0.17 kg
+   - r<sub>ball</sub> = 3.05 cm
+ __**Part 1: Tom's Up**__
+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.
+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.  Hint: for an elastic collision in 2D between two objects having equal mass, with one object initially attest, the angle between the two post-collision velocities is 90 degrees.  Relative to the top right corner pocket, the location of the 8-ball before cue ball strikes it is <-0.50m, -0.25m, 0m> and the location of the cue ball before the shot is <-1.25m, -0.5m, 0m>.  What must the initial velocity of the cue ball be for the final speed of the 8-ball to equal 1 m/s?
+__**Part 2: Craig's Time to Shine**__
+Tom, while a brilliant physicist, missed his shot, setting Craig up with the perfect opportunity to win the match and claim his prize.  Craig has determined he needs to have the 8-ball traveling at exactly 0.73 m/s for the cue ball to not follow it into the hole.  Any faster and he will scratch and lose.   Any slower and the 8-ball will not make it into the hole. With the given information, how much force and for what time interval does the stick need to be in contact with the cue ball?
+__**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.
+__**Self Assessment**__
+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:
+* Group Understanding:      ___ out of 4
+* Group Focus:              ___ out of 4
+* Individual Understanding: ___ out of 4
-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:183_projects:F16 Project 14|Fall 2016 Project 14]]
-*/