A 1,000-kg car is stopped at a stoplight when a 1,800-kg SUV hits it from behind.
Problem Description
A 1,000-kg car is stopped at a stoplight when a 1,800-kg SUV hits it from behind. The two cars lock together and slide to a stop. The debris and skid marks left by the cars indicate that the two cars slid a distance of 3.5 meters before stopping. The coefficient of kinetic friction between rubber tires and a dry road is reported to be 0.7. The driver of the SUV claims he was driving below the 25 mph (11.2 m/s) speed limit before the crash. Is his claim consistent with the evidence gathered at the scene?
Instructions:
In a neat and organized fashion, write out a solution that includes the following:
1) A sketch of the physical situation with all given physical quantities clearly labeled. All important states and moments in time should be represented in your sketch (i.e. draw a sketch for each moment in time you are analyzing).
2) An energy bar chart and momentum bar chart that represent this phenomenon. These bar charts should compare two moments in time for systems of your choosing which will help you answer the question.
3) All of the details of the procedure you came up with to reach your answer. If this procedure includes mathematical expressions, you must start from general equations learned in class. Equations should be consistent with physics representations.
4) A complete explanation of your work, explaining not just what you are doing but why you did it did and how you knew to do it. (This part is very important as you need to show me that you understand what you are doing, mention what you did and why you did it for each step you make)
5) An evaluation of all parts of your solution (This part should include four things: 1. mention why the magnitude is reasonable. 2. mention why the sign is positive or negative. 3. mention the units. 4. check consistency and show me how the answer is constant with the bar charts or the force diagram.
Failure to show everything I mentioned will result in points being deducted.
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