The Bungee Jumper: Conservation of Energy
Obj: Determine the distance a bungee person falls based on the determined k of a spring
Materials:  spring, bungee person, meter stick, weights

Procedures and Analysis
1.  Set up the apparatus as shown in the diagram to find the spring constant k of a spring.
2.  Avoiding parallax, read and record the position of the spring with the 50 g mass hanger attached.
3.  Hang a 50.0 g mass on the mass holder.  Record the new position.
4.  Repeat Steps 2 and 3 for incremental masses of 50.0 g.
5.  Plot F in Newtons as a function of x (meters). 
Calculate the slope of the line (=spring constant k).
6.  Determine the mass of your bungee person.  Solve the equation for the distance (h) the bungee person will fall before being stopped by the spring.  

mgΔh   =   ½kh2   which simplifies to:      mg =  ½kh

     Now, call over the physics instructor for the next step.

7.  Attach the bungee person to the spring and support the person such that the spring is at the no-load (unstretched) position.  Raise the bungee person to the appropriate height (h).  Consider the body length of the bungee person.  
8. Drop the bungee person. [NOTE: The physics instructor is the sole judge of distance from the table the bungee person falls on the spring.]

Grade: bungee person hits table (a fatality) = 1, within 8-10 cm of table = 3, within 4-7 cm = 4, less than 4 cm = 5


Back to the Brockport High School Science Department