Hooke's law with a bungee jump

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SUMMARY

This discussion focuses on modeling a bungee jump using Hooke's Law, specifically addressing the calculations needed to determine the stretch of a bungee cord over a time interval of 0.02 seconds. The jumper has a mass of 90 kg, and the bungee cord has an unstretched length of 15 m, with a stretch rate of 1% for every 12 N of tension force. Additionally, a drag force of 0.3v² is considered in the calculations. The key takeaway is the importance of performing a force balance on the jumper to accurately model the dynamics involved.

PREREQUISITES
  • Understanding of Hooke's Law and its application in elastic materials
  • Basic knowledge of physics concepts such as force, mass, and acceleration
  • Familiarity with drag force calculations and their impact on motion
  • Ability to create flowcharts to represent dynamic systems
NEXT STEPS
  • Calculate the tension force acting on the bungee cord using the jumper's weight and drag force
  • Determine the extension of the bungee cord over the specified time using Hooke's Law
  • Explore the effects of varying the unstretched length of the bungee cord on jump dynamics
  • Investigate numerical methods for simulating motion under variable forces
USEFUL FOR

Physics students, engineers, and anyone involved in modeling dynamic systems, particularly those interested in bungee jumping mechanics and the application of Hooke's Law in real-world scenarios.

mickg77
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Hi my problem is that I have to model a bungee jump and enter it into a flowchart. I've worked out the free-fall part, but my problem is that the jumper has now reached the point where hookes law comes into play.

The jumper mass is 90kg
The unstretched length of the rope is 15m(of neglible mass) but the bungee operator can change this at a rate of +/- 0.5ms at any time
It extends by 1% for every 12N if tension force. The drag force is 0.3v^2.

What I really want to do is calculate how far the rope has stretched in 0.02s. Is there any way of using time with Hooke's law?

Any help would be greatly appreciated.

Michael
 
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mickg77 said:
Hi my problem is that I have to model a bungee jump and enter it into a flowchart. I've worked out the free-fall part, but my problem is that the jumper has now reached the point where hookes law comes into play.

The jumper mass is 90kg
The unstretched length of the rope is 15m(of neglible mass) but the bungee operator can change this at a rate of +/- 0.5ms at any time
It extends by 1% for every 12N if tension force. The drag force is 0.3v^2.

What I really want to do is calculate how far the rope has stretched in 0.02s. Is there any way of using time with Hooke's law?

Any help would be greatly appreciated.

Michael

You have to carry out a force balance on the jumper.
 

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