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--- 183_projects:problem13b_fall2021_b [2021/12/09 06:06] – pwirving
+++ 183_projects:problem13b_fall2021_b [2021/12/09 20:48] – [Project 13B: Winners 3:00-4:50 Class] hallstein
@@ Line 8: / Line 8: @@
 /*
+====== Project 13B: Winners 10:20-12:10 Class ======
+{{course_planning:pxl_20211209_063824293.jpg}}
 Larry the penguin (mass: 40kg) from learning to fly cool math games wants to make the jump of a lifetime. He was challenged to land on a bar of ice that is fixed to the side of a glacier ready to fall with any collision. He has lathered himself up with a special sticky compound and intends to stick to the ice bar (mass: 100kg) and attack his arch-nemesis, Pablo the polar bear. Larry the ever-prepared penguin decides to glow script his attack first to ensure success but has had trouble completing the code - can you help him?
 https://www.glowscript.org/#/user/paul.w.irving/folder/Public/program/CodeforDesignYourOwnProblem
-*/
-/*
-After last week's massacre, all of the physics students have rejoiced that their TA's are dead. They move away to the Appalachian mountains where they plan to live out a long physicsless life. Suddenly, alarm sirens go off and the students rush to the edge of their mountaintop community to see what the fuss is about. That's when they noticed a mob of TA zombies running at them. Lilly, (one of the craziest zombies) is limping because of her human dance injury so she talks to all of the other TA zombies and they decide (after discussing the physics of things and giving each other notes on their conversation skills (Yannis got a 4/4 obviously)) that they should combine their bodies into one mega zombie with a velocity of 10m/s. Luckily a student remembers that they have a professor Irving locked away in their mountain jail where they only feed him the leftover Halloween candy he had brought into class and play the song the class voted as #1 on repeat 24/7. With Irving's help, the students come up with a plan to kill the zombies with a flaming ball of clay. Luckily we have a catapult on our mountaintop. Irving gives us a PowerPoint slide recommending us to treat it as a massive rod with a boulder on the end (moment of inertia = $mL^2/3 + (2/5mr^2 + mL^2}$. The rod is solid. The clay boulder we are shooting is flaming and pink. The catapult is loaded using a spring/crank system (see diagram) and the clay ball is launched when the catapult arm reaches its highest point.
+====== Project 13B: Winners 12:40-2:30 Class ======
+{{course_planning:pxl_20211209_063542811.jpg}}
+{{course_planning:pxl_20211209_063526945.jpg}}
+After last week's massacre, all of the physics students have rejoiced that their TA's are dead. They move away to the Appalachian mountains where they plan to live out a long physicsless life. Suddenly, alarm sirens go off and the students rush to the edge of their mountaintop community to see what the fuss is about. That's when they noticed a mob of TA zombies running at them. Lilly, (one of the craziest zombies) is limping because of her human dance injury so she talks to all of the other TA zombies and they decide (after discussing the physics of things and giving each other notes on their conversation skills (Yannis got a 4/4 obviously)) that they should combine their bodies into one mega zombie with a velocity of 10m/s. Luckily a student remembers that they have a professor Irving locked away in their mountain jail where they only feed him the leftover Halloween candy he had brought into class and play the song the class voted as #1 on repeat 24/7. With Irving's help, the students come up with a plan to kill the zombies with a flaming ball of clay (mass of 50kg). Luckily we have a catapult on our mountaintop. Irving gives us a PowerPoint slide recommending us to treat it as a massive rod (mass of 10kg) with a boulder on the end (moment of inertia = $(mL^2)/3 + {2/5mr^2 + mL^2})$. The rod is solid and has a length of 10m. The clay boulder we are shooting is flaming and pink. The catapult is loaded using a spring/crank system (see diagram, k of spring 453 kgm/s and its maximum stretch is 12) and the clay ball is launched when the catapult arm reaches its highest point. If the mountain is 80 meters tall how far away from the mountain will the flaming ball hit?
+Once you fire the ball your notice that your calculations were slightly off and you have hit the top of the combined zombie pile resulting in the creation of a boulder made up of zombies and flaming clay. The flaming clay hits at a radius of 3m from the center of the mass of the zombies. What was the mass of the zombie pile and what is its final velocity after the clay ball collides with it?
 */
+====== Project 13B: Winners 3:00-4:50 Class ======
+{{course_planning:weird.png}}
+On the Jovian moon of Ganymede, a team has been designing Richard’s Ragin Boar Tiger Rocket Ride.  Unfortunately, the designer’s wife’s boyfriend is sick and the team brought you on as a replacement.
+The team needs to find the height of the first hill (h in the diagram) and the mass of Go-Gurt used to help stop the cart carrying the riders, but oh darn it!   The boyfriend threw up on the paper including some of the design details leaving it only partially legible.  So, the team needs you to work with what information you have to find the needed height.
+The coaster starts by a rocket propelling the cart up the hill, with the rocket booster shutting off just prior to reaching the peak of the hill such that the speed of the cart is 1 m/s at the top of the hill.  The cart then goes down the hill to a turning segment, where it magnetically latches onto the end of a 20 meter long, 7,500 kg nickel bar.  The other end of the bar is fixed to a well-lubricated pin at the center of the semi-circular turning segment.   After passing through the semi-circular turning segment, the nickel bar unlatches and allows the cart to continue on to the ride’s completion.   The cart is slowed down to a maximum speed of 5 m/s via an inelastic collision with a second cart containing an unknown mass of Go-Gurt.   A mechanical braking system is then able to bring the rider’s cart and the Go-Gurt-filled stopping cart to a halt and where the riders can then exit.   The designer claims their patented stopping mechanism uses Go-Gurt to increase the time it takes for the rider’s cart to come to rest with respect to the Go-Gurt filled cart, thereby keeping the acceleration in a safe range.
+Here are the designer’s notes:
+  * Mass of car + passengers: 1,600 kg
+  * Mass of Ganymede:  1.48 x 1023 kg
+  * Mass of empty stopping cart: 1000 kg
+  * Average radius of Ganymede: 2634 km
+  * Speed upon exiting the turn-around and approaching the Go-Gurt: at least 14 m/s, but no higher than 16 m/s
+  * Track is frictionless
+Barely legible at the bottom of the designer’s notes is scrawled:  wanted to put it on Enceladus, but the local gravity is too darn low, and this somewhat smudged sketch of the ride:
+{{course_planning:weird2.png}}