The Great Bungee Jump
Full Size Jump ??
Now you have a working small scale model of a bungee jump, and a mathematical
model which represents it. Now you are ready to investigate a full sized
bungee jump that might be used to escape from a high rise building.
Talk with your partners and decide how tall a building to represent, how
heavy a person (there are approximately 2.2 lbs/kg), how far from the ground
the bungee cord should start to stretch, and how far from the ground the
bungee would stretch with the person hanging on it. Enter your numbers
into the mathematical model and examine the results.
Remember: You want the jumper to be slowed to a stop just at, or just above
the sidewalk. (Look at the mimimum height) You also want the jumper to
be lowered as gently as possible. Look at the maximum force exerted
by the bungee cord. Compare this force (measured in newtons) to the force
exerted by gravity (the weight of the jumper in newtons). How many times
his own weight will he be subjected to? Can you make this force smaller?
When you feel you have a reasonable combination of factors which will lower
the jumper safely to the sidewalk record your data. You could also print
out your spreadsheet model to include with your report.
Some other things to consider are:
- How could the jumper safely disconnect from the bungee cord? What would
happen to him if he didn't?
- Is the jumper in danger of smashing into the side of the building?
How could you find out?
- Would it be possible to make a bungee escape device that could be used
by anyone, or do they have to be custom made?
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