<![CDATA[rolling2balls for modeling pedagogy]]> false false true true false ]]> ./rolling2balls/Screenshot 2024-09-03 at 2.37.55 PM.png ./1authorlookangphoto5050.png;./01authorPacoEsquembre2011.png;./01authorFelix_J_Garcia_Clemente.png 20 5 false VARIABLE_EDITOR Var Table true false VARIABLE_EDITOR layout true false CODE_EDITOR Init Page true false ODE_EDITOR Evol Page true false EVENT_EDITOR hit horizontal Ball1 false false CROSSING_EVENT BISECTION 100 true EVENT_EDITOR hit horizontal ball1 true false CROSSING_EVENT BISECTION 100 true EVENT_EDITOR collision true false CROSSING_EVENT BISECTION 100 true EVENT_EDITOR hit horizontal 2 false false CROSSING_EVENT BISECTION 100 true EVENT_EDITOR hit horizontal Ball2 true false CROSSING_EVENT BISECTION 100 true t dt vx ax vy ay vx2 ax2 vy2 ay2 RungeKutta 10000 0.00001 false false false false CODE_EDITOR FixRel Page true false LIBRARY_EDITOR fullscreen true false LIBRARY_EDITOR changeOrientation true false LIBRARY_EDITOR speech true false { // console.log(voice.name, voice.lang) //}) //debug // Queue this utterance. window.speechSynthesis.speak(msg); } ]]> LIBRARY_EDITOR getA true false lengthHorizontalTrack-zeroPositive) { ax2 = factorOfSphere*Math.cos(acuteAngle2) * (-g * Math.cos(angle2)); } else { ax2 = 0; // alert("a") } if (x2 > lengthHorizontalTrack-zeroPositive) { vy2 = vy2; } else { vy2 = 0; // alert("b") } if (x2 > lengthHorizontalTrack-zeroPositive) { ay2 = factorOfSphere*Math.sin(acuteAngle2) * (-g * Math.cos(angle2)); } else { ay2 = 0; // alert("c") } } ]]> HTML_VIEW_EDITOR HtmlView Page true false 0 0 0 800 600 true true Elements.Panel true Elements.Panel true Elements.Panel Elements.CheckBox Elements.CheckBox Elements.Label Elements.ParsedField Elements.Label Elements.Slider Elements.Slider Elements.TwoStateButton Elements.Button Elements.Button false Elements.Panel false Elements.Panel Elements.Label Elements.ParsedField Elements.Label Elements.Slider false Elements.Panel Elements.Label Elements.ParsedField Elements.Label Elements.Slider false Elements.Panel false Elements.Panel Elements.Label Elements.ParsedField Elements.Label Elements.Slider false Elements.Panel Elements.Label Elements.ParsedField Elements.Label Elements.Slider true Elements.Panel true Elements.Panel Elements.Label Elements.ParsedField Elements.Label Elements.Slider true Elements.Panel Elements.Label Elements.ParsedField Elements.Label Elements.Slider true Elements.Panel true Elements.PlottingPanel Elements.Shape2D Elements.Arrow2D Elements.Arrow2D Elements.Shape2D Elements.Arrow2D Elements.Arrow2D Elements.Segment2D Elements.Segment2D Elements.Segment2D Elements.Shape2D true Elements.Group2D Elements.Segment2D true Elements.Group2D Elements.Shape2D true Elements.Group2D Elements.Text2D Elements.Text2D Elements.Text2D Elements.Text2D Elements.Shape2D Elements.Shape2D Elements.Shape2D Elements.Panel 1. Understanding Gravitational Potential Energy Store

Question: Observe the Gravitational Potential Energy Store (G) of both spheres before they start moving down the slopes. How is the Gravitational Potential Energy Store related to the height of each sphere on the slope?

Follow-up: Predict how the Gravitational Potential Energy Store will change as each sphere rolls down the slope and explain your reasoning.

2. Comparing Kinetic Energy Store

Question: As the spheres roll down their respective slopes, how does their Kinetic Energy Store (K) change? Compare the Kinetic Energy Stores of the two spheres when they reach the horizontal track.

Follow-up: Based on your observations, what factors influence the amount of Kinetic Energy Store each sphere has at the bottom of the slope?

3. Effect of Slope Angle on Speed

Question: Adjust the inclined angle of one slope to be steeper than the other. How does changing the slope angle affect the speed of the sphere at the bottom of the slope? Explain your observations using the concepts of Gravitational Potential Energy Store and Kinetic Energy Store.

Follow-up: What do you predict will happen to the position of collision if one slope is steeper than the other? Justify your answer.

4. Investigating the Impact of Mass

Question: Set both slopes to the same angle, but give the two spheres different masses. How does the mass of each sphere affect the speed and Kinetic Energy Store at the bottom of the slope? Does mass influence the position of the collision?

Follow-up: Why does the mass of the spheres not affect their acceleration down the slope, even though it does influence their Kinetic Energy Store?

5. Investigating the Radius of the Balls

Question: Adjust the radius of each sphere. How does changing the radius affect the speed and Kinetic Energy Store of the spheres as they reach the bottom of the slope?

Follow-up: How does the radius of the spheres influence the collision position? Consider the moment of inertia in your explanation.

6. Analyzing the Collision Position

Question: Using the physics equations of motion and the energy principles, predict the position where the two spheres will collide. How accurate is your prediction compared to the simulation result?

Follow-up: What adjustments would you make to your calculations or the simulation parameters to improve the accuracy of your prediction?

]]>