Hooke's law with a bungee jump

[mickg77]

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

 

[Chestermiller]

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.