4) The figure below shows the velocity-versus-time graph before and after the collision of two carts on a horizontal track. After the collision the carts stick together. Green and blue lines show the velocities of cart 1 and cart 2, respectively, before the collision. The black line shows the velocity of the carts joined together after the collision. Determine the ratio of the carts' masses ml/m2. Adequate All necessary information has been extracted correctly and written in a comprehensible way. Objects, systems, physical quantities, initial and final states, etc. are identified correctly and units are correct. Physical quantities have consistent subscripts. 0 VIX Adequate All relevant representations were used correctly to solve the problem and the ways they were used are clearly explained. V2x Ability A1: Can extract the information from representation correctly Needs Work Some of the information is extracted correctly, but not all of the information. For example, physical quantities are represented with numbers there are no units. Or directions are missing. Subscripts for physical quantities are either missing or collision All relevant representations were used to solve the problems, but minor errors were made or details of how they were used are omitted. Inadequate Information that is extracted contains errors such as labeling quantities incorrectly, mixing up initial and final states, choosing a wrong system, etc. Physical quantities have no subscripts (when those are needed). inconsistent. Ability A4: Is able to use representations other than math/words to solve problems Needs Work Inadequate Missing No visible attempt is made to extract information from the problem text. Not all relevant representations were used or representations were used incorrectly to solve the problem. Missing Representations beyond math/words may be present but were not used to the solve of the problem.
4) The figure below shows the velocity-versus-time graph before and after the collision of two carts on a horizontal track. After the collision the carts stick together. Green and blue lines show the velocities of cart 1 and cart 2, respectively, before the collision. The black line shows the velocity of the carts joined together after the collision. Determine the ratio of the carts' masses ml/m2. Adequate All necessary information has been extracted correctly and written in a comprehensible way. Objects, systems, physical quantities, initial and final states, etc. are identified correctly and units are correct. Physical quantities have consistent subscripts. 0 VIX Adequate All relevant representations were used correctly to solve the problem and the ways they were used are clearly explained. V2x Ability A1: Can extract the information from representation correctly Needs Work Some of the information is extracted correctly, but not all of the information. For example, physical quantities are represented with numbers there are no units. Or directions are missing. Subscripts for physical quantities are either missing or collision All relevant representations were used to solve the problems, but minor errors were made or details of how they were used are omitted. Inadequate Information that is extracted contains errors such as labeling quantities incorrectly, mixing up initial and final states, choosing a wrong system, etc. Physical quantities have no subscripts (when those are needed). inconsistent. Ability A4: Is able to use representations other than math/words to solve problems Needs Work Inadequate Missing No visible attempt is made to extract information from the problem text. Not all relevant representations were used or representations were used incorrectly to solve the problem. Missing Representations beyond math/words may be present but were not used to the solve of the problem.
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Transcribed Image Text:The document presents an educational problem involving a velocity-versus-time graph.
**Text:**
4) The figure below shows the velocity-versus-time graph before and after the collision of two carts on a horizontal track. After the collision, the carts stick together. Green and blue lines show the velocities of cart 1 and cart 2, respectively, before the collision. The black line shows the velocity of the carts joined together after the collision. Determine the ratio of the carts' masses m1/m2.
**Graph Explanation:**
- **Axes:**
- The vertical axis represents velocity (\(v\)), while the horizontal axis represents time (\(t\)).
- **Lines:**
- **Green Line (\(v_{1x}\)):** Represents the velocity of cart 1 before the collision.
- **Blue Line (\(v_{2x}\)):** Represents the velocity of cart 2 before the collision.
- **Black Line:** Represents the velocity of the combined carts after the collision (\(v\)) at time \(t_{\text{collision}}\).
**Table on Abilities:**
- **Ability A1: Can extract the information from representation correctly**
- **Adequate:** All necessary information has been extracted correctly and coherently. Objects, systems, physical quantities, initial and final states are properly identified with correct units and consistent subscripts.
- **Needs Work:** Information is mostly correct but incomplete; issues include missing units or inconsistent subscripts.
- **Inadequate:** Extracted information has errors, such as incorrect labeling and mixing initial/final states.
- **Missing:** No attempt to extract information from the problem text.
- **Ability A4: Is able to use representations other than math/words to solve problems**
- **Adequate:** All relevant representations were used correctly with clear explanations.
- **Needs Work:** Minor errors or missing details in representation use.
- **Inadequate:** Incorrect or incomplete representation usage.
- **Missing:** Uses representations beyond math/words inadequately in problem-solving.
Transcribed Image Text:**Transcription for Educational Website**
**Question 3:** Your friend estimates that they have a momentum of 5,000 kg·m/s when they walk at a regular pace. Is this estimate reasonable? Explain how you came to your conclusion and give a better estimate if necessary.
**Ability F3: Is able to clearly explain their reasoning in words**
- **Adequate:** Explanation is clear, detailed, and shows physical and conceptual understanding. Explains both what was done and why.
- **Needs Work:** Explanation is slightly unclear, missing some minor information, covers what was done but is missing why it was done.
- **Inadequate:** Explanation is incoherent, incomplete, confusing, or inconsistent with the work shown.
- **Missing:** No verbal explanation is provided.
**Ability I7: Is able to evaluate a result appealing to physical reasonableness or order of magnitude common sense**
- **Adequate:** A judgment about the reasonableness of the result is made which is complete, detailed, and consistent with existing physics knowledge.
- **Needs Work:** A judgment is made about the reasonableness of the result which is either incomplete or missing minor details.
- **Inadequate:** An incorrect judgment about the reasonableness of the result is made OR a judgment is made without justification.
- **Missing:** No meaningful attempt is made to evaluate the reasonableness of the result.
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