Conservation of Energy bungee jumping

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SUMMARY

The discussion centers on the physics of bungee jumping, specifically analyzing the forces acting on a jumper using an elastic bungee cord. Key concepts include the spring constant (k) of the cord, the relaxed length (y_e), and the height of the jump (y_0). Participants debated the assumptions regarding the motion of the jumper, including whether to treat the jumper as a particle with constant speed or acceleration, and the significance of air resistance and heat generation in the bungee cord. The consensus emphasizes that the bungee cord can be modeled using Hooke's law to understand the forces involved.

PREREQUISITES
  • Understanding of Hooke's Law and spring constants
  • Basic principles of mechanics, including free fall and acceleration
  • Knowledge of forces and motion in physics
  • Familiarity with concepts of air resistance and energy conservation
NEXT STEPS
  • Study the application of Hooke's Law in real-world scenarios
  • Explore the effects of air resistance on falling objects
  • Investigate energy conservation principles in elastic systems
  • Learn about the dynamics of free fall and deceleration forces
USEFUL FOR

Physics students, educators, and anyone interested in the mechanics of bungee jumping and energy conservation principles in dynamic systems.

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Homework Statement


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.


Homework Equations


no equations


The Attempt at a Solution



I tried BEGI, CEGI, BEGH, AEGI. And they are all wrong. I need help.
 
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I agree with you third answer AEGI, other than A. Why would the person move with a constant speed?
 
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 . . .
Please don't multi-post. Please delete the other post of this problem.

Also, please show some work or effort in answering each of these points.

If one is familiar with the geometry of the bungee problem, it starts with the bungee cord folded in half, one end attached to a person (the mass) and the other end fastened to a hopefully immovable object such as a building or bridge.

Now until the bungee cord unwraps to its full length, the person (mass) is in freefall under the influence of gravity. When the bungee cord starts stretching, it applies a force which decelerates (slows) the falling mass.

I suggest writing the equation for the spring force of the bungee cord.

Also write the one's thoughts on air resistance and heating of the bungee chord.
 

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