Bungee Jump Physics Problem: Solving for Velocity and Height

In summary, the conversation discusses an energy conservation problem involving a person jumping from a height while attached to a bungee cord. The gravitational potential energy is stored in the bungee cord and can be calculated using the elastic potential equation. There is a question about the free fall distance, as it seems to be 25m when it should be 24m based on the given measurements.
  • #1
yowgurt
1
0
https://www.physicsforums.com/images/icons/icon14https://www.physicsforums.com/images/icons/icon14.gif.gif
 
Last edited by a moderator:
Physics news on Phys.org
  • #2
Sounds like an energy conservation problem to me. All of his gravitational potential energy can be assumed to be stored in the bungie at the bottom of his jump. You should be able to use the elastic potential equation 1/2kx^2 (where x is the stretch in the bungie) and equate that with the gravitational potential mgh

On a related note, are you sure that 25m is the correct free fall distance? I see where you get 20m (the rope) and 3m (the unstretched bungie) and 1m (the CM above the starting point) but where is the other 1m from?
 

Related to Bungee Jump Physics Problem: Solving for Velocity and Height

1. How does the length of the bungee cord affect the jump?

The length of the bungee cord affects the jump in two ways. Firstly, a longer cord will allow the jumper to fall further before the cord reaches its maximum stretch, resulting in a longer free fall and a greater velocity at the bottom of the jump. Secondly, a longer cord will also result in a longer deceleration period as the cord stretches, increasing the time it takes for the jumper to come to a complete stop.

2. What is the relationship between the weight of the jumper and the length of the bungee cord?

The weight of the jumper and the length of the bungee cord have an inverse relationship. This means that as the weight of the jumper increases, the length of the cord must also increase in order to provide a safe and enjoyable jump. This is because a heavier weight will require a longer deceleration period to come to a complete stop, and a longer cord is needed to achieve this.

3. How does the elasticity of the bungee cord affect the jump?

The elasticity, or stretchiness, of the bungee cord plays a crucial role in the jump. A more elastic cord will allow for a greater deceleration period and a softer landing, resulting in a more enjoyable and less jarring jump. However, an overly elastic cord can also cause the jumper to bounce back up too quickly, potentially causing injury.

4. Is there a minimum or maximum weight limit for bungee jumping?

Yes, there is typically a minimum and maximum weight limit for bungee jumping, which varies depending on the specific bungee jumping location. This is to ensure the safety of the jumper and prevent any potential accidents due to incorrect weight distribution or excessive weight on the bungee cord.

5. What safety measures are in place to prevent accidents during a bungee jump?

There are several safety measures in place to prevent accidents during a bungee jump. These can include thorough inspections and maintenance of equipment, weight and length restrictions, and trained professionals overseeing the jump. Additionally, bungee jumping locations often have emergency procedures and protocols in place in case of any unforeseen accidents or complications.

Similar threads

Replies
44
Views
3K
  • Introductory Physics Homework Help
Replies
3
Views
2K
  • New Member Introductions
Replies
7
Views
522
  • Classical Physics
Replies
29
Views
2K
  • Introductory Physics Homework Help
Replies
1
Views
5K
  • Introductory Physics Homework Help
Replies
6
Views
1K
Replies
16
Views
4K
  • Introductory Physics Homework Help
Replies
5
Views
2K
Replies
12
Views
2K
  • Introductory Physics Homework Help
Replies
8
Views
3K
Back
Top