Instructions: Your task is to create a model in response to the prompt in the quiz below. Be sure to apply a model from this class and include the relevant diagram(s) for that model. Phenomenon: Air Hockey Goal! Christine and Victoria are playing air hockey at the +y Santa Cruz Beach Boardwalk. While they are playing, the puck starts to bounce back and forth on Christine's side, and she wants to hit the puck with her mallet to change the puck's final velocity to be in the direction of +x the goal. Top View The moment before Christine hits the puck with the mallet, the puck is moving to the right (in the positive x direction) with a speed of 9 m/s. After she hits the f puck\\ I puck, it moves up (positive y direction) and to the left (negative x direction) with a speed of 13 m/s. The final velocity vector of the puck is at an angle such that its i,puck components are Vi,puck,x = - 5 m/s and Vi pucky = 12 m/S. The puck has a mass of 50 grams (0.05 kg) The top down view of the scenario is illustrated to the mallet right. Big Question: If the mallet was in contact with the puck for 20 milliseconds (0.02 s), what was the average force on the puck from the mallet during their contact? Be sure to give both the magnitude and direction of the force. Note: We have not spent much time doing problems in three dimensions. The majority of this problem can be Skewed done in the 2D x-y plane, but you do have forces in the Side View z-direction (into and out of the table's surface) as well. All three axes are shown in the skewed illustration. Drawing 3D force diagrams accurately is very difficult, so we'll split our force representations into two drawings. I'm including the force diagram for the puck in the z-direction only at the start of the next page. Your force diagrams from scratch may include only forces in the x-y plane. Though you don't need to draw them, you should still consider the z-direction forces when thinking about whether your momentum system is open or closed.+7 +y - table on puck & +X Puck Puck - Earth on puck Side View Top View (Done) (For You) Use what you've leamed in PHYS 2A so far to analyze the scenario. A B. It may help to tell a story and annotate the physical scenario drawing. This is not required. Identify a timeline that will allow you to solve the big question and state all relevant indicators, using column vectors if the indicator is a vector. Draw an object interaction diagram and (if necessary) draw force diagrams for each object in your system. Including a written justification as to why the momentum system is open or closed. Draw as many complete Momentum Charts as needed to model the scenario with written justifications as to how the timeline is determined. a. Use graph paper as drawn vectors must be scaled b. Include a written statement about what the total change in momentum of the physical system is Write out as many complete vector equations as needed to model the scenario Find a numerical answer to the Big Question and represent this as both a column vector and a scaled drawn vector showing the direction. As always, check your solution against the rubric to be sure you have all the pieces you need! Linked here: SP24 Rubric 3 SP24 Quiz 3 Criteria Ratings Pts Identify a Timeline 10 pts 7 pts 5 pts Complete Evidence of Evidence of Partial Minimal Evidence of 10 pts Understanding Understanding Understanding Identify Indicators in Timeline 10 pts 7 pts 5 pts Complete Evidence of Evidence of Partial Minimal Evidence of 10 pts Understanding Understanding Understanding Object Interaction Diagram 10 pts 7 pts 5 pts (OID) Complete Evidence of Evidence of Partial Minimal Evidence of 10 pts Understanding Understanding Understanding Find/State the Net External 10 pts 7 pts 5 pts Force Complete Evidence of Evidence of Partial Minimal Evidence of 10 pts Understanding Understanding Understanding Open/Closed Momentum 10 pts 7 pts 5 pts System Justification Complete Evidence of Evidence of Partial Minimal Evidence of 10 pts Understanding Understanding Understanding Momentum Chart 10 pts 7 pts 5 pts Complete Evidence of Evidence of Partial Minimal Evidence of 10 pts Understanding Understanding Understanding Algebraic Vector 10 pts 7 pts 5 pts Momentum(a) Equation(s) Complete Evidence of Evidence of Partial Minimal Evidence of 10 pts Understanding Understanding Understanding Final Answer 10 pts 7 pts 5 pts Complete Evidence of Evidence of Partial Minimal Evidence of 10 pts Understanding Understanding Understanding Total Points: 80