Bungee Jump Physics: Solving for Maximum Fall Length and Spring Constant

Click For Summary
SUMMARY

The discussion centers on calculating the maximum fall length of a bungee jumper before the bungee cord stops the descent. The user has selected initial heights of 50m, 55m, and 60m, along with bungee spring constants of 25 N/m, 30 N/m, and 35 N/m. Key concepts include Hooke's Law and the relationship between kinetic energy and work done by gravity and the bungee cord. The user seeks guidance on applying these principles to solve the problem effectively.

PREREQUISITES
  • Understanding of Hooke's Law
  • Knowledge of gravitational potential energy (PE)
  • Familiarity with kinetic energy concepts
  • Basic principles of work-energy theorem
NEXT STEPS
  • Study the application of Hooke's Law in bungee jumping scenarios
  • Learn how to calculate gravitational potential energy (PE) at different heights
  • Research the work-energy theorem and its implications in elastic systems
  • Explore simulations or software tools for modeling bungee jump physics
USEFUL FOR

Physics students, engineers, and anyone interested in the mechanics of bungee jumping and elastic systems will benefit from this discussion.

ScienceMan123
Messages
1
Reaction score
0
Ok so I'm trying to find the maximum length of fall before the bungee brings the jumper to a stop? So I've chosen a few arbitrary starting heights: 50m, 55m, 60m and a few arbitrary bungee spring constants: 25 N/m, 30 N/m, 35 N/m.

How would I go about in approaching this problem? I think this problem has something to do with Hook's Law and Elastic PE but I need some more help.

Thanks.
 
Physics news on Phys.org
I would start by considering that a change in kinetic energy is equal to the net work done on an object, the work done by gravity is just [itex]mg\triangle h[/itex] , what is the work done by the bungee?
 

Similar threads

Understanding the Bungee Jumper Problem: Energy Transformation and Calculations
  • · Replies 44 ·
2
Replies
44
Views
7K
Bungee jumping and Conservation of energy
  • · Replies 3 ·
Replies
3
Views
3K
What is the total length of the bungee cord in this bungee jumping problem?
  • · Replies 26 ·
Replies
26
Views
3K
How Does a Bungee Jumper's Energy Change During a Jump?
  • · Replies 14 ·
Replies
14
Views
6K
Acceleration vs Time Bungee Graph
  • · Replies 1 ·
Replies
1
Views
6K
Conservation of energy, bungee jumping
  • · Replies 5 ·
Replies
5
Views
3K
A Closer Look at Bungee Jumping Physics
  • · Replies 26 ·
Replies
26
Views
5K
Final amplitude with damping of bungee cord
  • · Replies 8 ·
Replies
8
Views
3K
Bungee Jump: Conservation of Energy
  • · Replies 3 ·
Replies
3
Views
2K
Physics of Bungee Jumping problem?
  • · Replies 16 ·
Replies
16
Views
5K