How Should Physics Principles Be Applied in Bungee Jumping Analysis?

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SUMMARY

The forum discussion focuses on the application of physics principles in analyzing bungee jumping scenarios, specifically using Hooke's law to model the bungee cord's behavior. Key variables include the relaxed length of the cord (y_e), the height from the bridge to the river (y_0), and the spring constant (k). The discussion highlights that the student cannot be treated as a particle with constant speed or acceleration due to the variable forces acting on him during the jump. The correct assumptions involve negligible air resistance and modeling the bungee cord as a spring that obeys Hooke's law.

PREREQUISITES
  • Understanding of Hooke's law and spring constants
  • Basic principles of kinematics and dynamics
  • Knowledge of forces and motion in physics
  • Familiarity with concepts of air resistance and its effects
NEXT STEPS
  • Study the mechanics of elastic potential energy in bungee jumping
  • Learn about the effects of air resistance on free-falling objects
  • Explore advanced kinematic equations for variable acceleration
  • Investigate real-world applications of Hooke's law in engineering
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone interested in the practical applications of physics principles in extreme sports like bungee jumping.

caitlincc610
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A bored college student decides to try bungee jumping. He attaches an elastic bungee cord to his ankles and happily jumps off a tall bridge across a river. He ends up barely touching the water before the cord jerks him back up

The length of the relaxed cord is y_e; the distance from the bridge to the river surface is y_0 (where y_o>y_e), and the spring constant of the elastic cord is k.

Which assumptions are reasonable to make in this problem?

a.The student can be treated as a particle moving with constant speed.
b.The student can be treated as a particle moving with constant acceleration.
c.The student cannot be treated as a particle.
d.The air resistance is substantial.
e.The air resistance is negligible.
f.The amount of heat generated in the bungee cord is substantial.
g.The amount of heat generated in the bungee cord is negligible.
h.The bungee cord applies a constant (or zero) force on the student.
i.e bungee cord can be modeled as a spring that obeys Hooke's law.

I tried BEGI, CEGI, BEGH, AEGI. And they are all wrong. I need help.
 
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EGI look alright to me.

A doesn't work... B doesn't work either because the force exerted by the bungee on the person changes with time... ie net force on the student changes, so acceleration changes.
 

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