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Bungee
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A bungee jumper is modelled as a mass on a long spring. The combination of springs obeys Hooke’s law very well.
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A value for k for the rope (springs) has been inserted into the model.
- Try values between 2 and 20 for k and use the video to identify the actual value of k for the system videoed.
- Use the video output to find the maximum height below the release point reached by the jumper. Use a simple conservation of energy argument to verify that the value of k found from analysis of the model is sensible. The two graphs of displacement and velocity can help with this task.
- Finally explain why the bungee jumper reaches a maximum distance below the release point of twice that he would reach if he was slowly lowered on the rope by a supporting crane. Again use an energy conservation argument to help you answer this question.
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Teachers note, the measured k for this system was 8.3 N/m.
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Download this Resource
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Package:
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Bungee.exe (324Kb)
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Contents:
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bungee.mdl, bungee.doc, bungee.avi and rope.bmp
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Instructions:
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Download the self extracting ZIP archive. Locate the file using Windows Explorer and double click. The self extractor will then start. The default installation path is C:\AP Revision. Having set the path press the Unzip button. After the files have been extracted change directory to C:\AP Revision. To start the model double click on bungee.mdl.
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