Instructions: Your task is to create a model in response to the prompts in the question below. Be sure to apply a model from this class and include the relevant diagram(s) for that model. And don’t forget to use the Claim, Evidence, Reasoning framework to present your solution. Phenomenon: Runaway Truck Ramp A truck was driving on a highway at 30 m/s when its brakes gave out. The driver steered it onto a “runaway truck ramp”, consisting of an upward ramp (rising 12 meters vertically over 120 meters horizontally), and ending with a compressible barrier which you can model as a giant spring with spring constant “k”. The compressible barrier can be compressed by a maximum 0.5 meters before it stops working. Graphic attached Values: Mass of the truck: 20 metric tons (1 metric ton = 1000kg). Mass of the driver: Choose a reasonable value. Truck Ramp Dimensions: 12 meters vertical, 120 meters horizontal Spring constant k= 6.0 x 107 J/m2. Part 1: Big question: How fast is the truck moving when it first hits the collapsible barrier? Use what you’ve learned in PHYS 2A so far to analyze this scenario. It may help to draw a physical scenario diagram and an object interaction diagram. These are not required Draw as many complete Energy Interaction Diagrams as necessary to model the scenario including a written justification as to why the physical system is open / closed Answer the Big Question (or, explain how you would use the solution to your equation to answer the Big Question if you don’t have time to do all the algebra) Part 2: Big question: Is the hill and the compressible barrier enough to stop the truck? (Recall the barrier can only compress by 0.5 meters; is this enough?) Use what you’ve learned in PHYS 2A so far to analyze this scenario. It may help to draw a physical scenario diagram and an object interaction diagram. These are not required Draw as many complete Energy Interaction Diagrams as necessary to model the scenario including a written justification as to why the physical system is open / closed. Answer the Big Question (or, explain how you would use the solution to your equation to answer the Big Question if you don’t have time to do all the algebra)
Instructions: Your task is to create a model in response to the prompts in the question below. Be sure to apply a model from this class and include the relevant diagram(s) for that model. And don’t forget to use the Claim, Evidence, Reasoning framework to present your solution.
Phenomenon: Runaway Truck Ramp
A truck was driving on a highway at 30 m/s when its brakes gave out. The driver steered it onto a “runaway truck ramp”, consisting of an upward ramp (rising 12 meters vertically over 120 meters horizontally), and ending with a compressible barrier which you can model as a giant spring with spring constant “k”. The compressible barrier can be compressed by a maximum 0.5 meters before it stops working.
Graphic attached
Values: Mass of the truck: 20 metric tons (1 metric ton = 1000kg).
Mass of the driver: Choose a reasonable value.
Truck Ramp Dimensions: 12 meters vertical, 120 meters horizontal
Spring constant k= 6.0 x 107 J/m2.
Part 1: Big question: How fast is the truck moving when it first hits the collapsible barrier?
Use what you’ve learned in PHYS 2A so far to analyze this scenario.
- It may help to draw a physical scenario diagram and an object interaction diagram. These are not required
- Draw as many complete Energy Interaction Diagrams as necessary to model the scenario including a written justification as to why the physical system is open / closed
- Answer the Big Question (or, explain how you would use the solution to your equation to answer the Big Question if you don’t have time to do all the algebra)
Part 2: Big question: Is the hill and the compressible barrier enough to stop the truck? (Recall the barrier can only compress by 0.5 meters; is this enough?)
Use what you’ve learned in PHYS 2A so far to analyze this scenario.
- It may help to draw a physical scenario diagram and an object interaction diagram. These are not required
- Draw as many complete Energy Interaction Diagrams as necessary to model the scenario including a written justification as to why the physical system is open / closed.
- Answer the Big Question (or, explain how you would use the solution to your equation to answer the Big Question if you don’t have time to do all the algebra)
Reminder: Use the Claim, Evidence, Reasoning framework to present your solutions. This means using a model from class including relevant, complete diagram(s) and explicitly writing out your reasoning.
Maybe useful information: A Joule is defined as: [J] = [(kg)(m2/s2)]
| ∆Ethermal = m Cp ∆T | ∆Ephase = ∆m Hp | P =∑∆E / ∆t |
| Q + W = ∑∆E | ||
| ∆KETranslationsal =½ m∆v2 |
∆PEGraviational =mg∆y where g = 10m/s2 |
∆PEElastic = ½k∆x2 |
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