Schematization Represent the initial and final states of the system, identifying an upward y+ axis. Modelization Create a model for the spring constant of the "spring" (the bungee) in N/m , given the known parameters only. Then test your model with the following values: Customer mass: 105.9 kg Initial platform height: 83.7 m Final height: 17.2 m Natural Bungee Length: 21.9 m
A bungee jump
context
You're a consultant for a bungee jumping company. The company wants to expand and set up facilities elsewhere, with different configurations (different drop heights, etc.). You are therefore responsible for designing a model that will provide a safe experience for all customers. Depending on the mass of the person and the different parameters of the terrain, your model should allow you to choose the appropriate elastic.
Information
The mass of the client is known.
The jump platform is placed at a known initial height (hi).
The final height (hf) is where the falling person must stop: it is known.
As these heights are generally very large, the height of the person himself can be neglected.
A bungee is a rubber band that behaves like a spring, which can only be stretched.
The natural length of the bungee is known.
The air resistance is neglected.
Schematization
Represent the initial and final states of the system, identifying an upward y+ axis.
Modelization
Create a model for the spring constant of the "spring" (the bungee) in N/m , given the known parameters only.
Then test your model with the following values:
Customer mass: 105.9 kg
Initial platform height: 83.7 m
Final height: 17.2 m
Natural Bungee Length: 21.9 m
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