The Great Bungee Jump Messing Around Investigation 1: A First Model
1. Start with a discussion in your group. See if you can agree on:
Record your conclusions.
2. Make a scale model. Securely attach about 1 meter of elastic to a mass. The mass should be large enough stretch the elastic to about 1.8 m.
3. Observe the drop. Simulate a bungee escape. Hold the elastic in one hand and drop the mass. Try different lengths of eleastic and different masses. Does this help you answer any of your questions?
4. Simplify the problem. The art of modeling is to make good simplifying assumptions. To understand the bungee jump, we need to simplify it. But we always have to be careful that our assumptions don't invalidate our results.
5. Diagram the forces in each part of the jump. To really understand what is going on, you have to understand the force acting on the jumper. Draw four diagrams that show the size and direction of all the forces on the jumper in different parts of the jump.:
Of course, there continue to be additional parts to the motion of the
mass, but we are not really interested in them. We hope the jumper gets
off at the bottom of the first drop!
6. Predict the motion. Imagine that a camera could get a single photograph of the position of the jumper at regular intervals. This is like what you see when there is a blinking strobe light on a dance floor. If you recorded a rolling ball you might see the following:
Make a drawing like this for the bungee jump. Show where the bungee
cord is limp and taut. As in the drawing above, show where the jumper is
going fast and slow as well as where it is accelerating. Explain your predictions.
7. Summarize. What have you learned so far? Can you answer any of the main questions? What else do you need to know?
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