The Great Bungee Jump
It turns out that you cannot build a good mathematical model without
friction, but what, exactly, is it? The issue of friction was introduced
into the model without too much discussion, so here is your chance.
Friction is a force that opposes motion. Push a car one direction and friction pushes the opposite. Reverse the direction of the car and friction reverses, too.
Friction always reduces energy. Without it, the bungee jumper would return to the same height it started. Does it? How high does it bounce back? Call the loss of height dh. The energy loss due to friction is:
Energy loss = m*g*dh
How much energy did you loose? Where does this energy go?
There are two kinds of friction in this experiment:
Which source of friction is most important? One way is to try to change
one kind of friction without changing anything else. Air friction can be
increased by making the bungee go faster or making it larger. The bungee
friction can be reduced by substituting a spring.
Decide on your experiment and how you will explore friction and make the required measurements. Before you begin experimenting, tell your instructor what you plan.