Conservation of Energy bungee jumping

In summary, a bored college student tries bungee jumping by attaching an elastic bungee cord to his ankles and jumping off a tall bridge. 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. Reasonable assumptions for this problem include treating the student as a particle moving with constant acceleration, neglecting air resistance, and modeling the bungee cord as a spring that obeys Hooke's law.
  • #1
caitlincc610
2
0

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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  • #2
I agree with you third answer AEGI, other than A. Why would the person move with a constant speed?
 
  • #3
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.
 

1. How does bungee jumping demonstrate the conservation of energy?

Bungee jumping is an excellent example of the conservation of energy because it involves the transformation of potential energy into kinetic energy and back again. As the jumper falls, their potential energy decreases while their kinetic energy increases. When the bungee cord reaches its maximum stretch, all of the potential energy has been converted into kinetic energy. As the cord recoils, the kinetic energy is converted back into potential energy, allowing the jumper to bounce back up.

2. What factors affect the conservation of energy in bungee jumping?

The conservation of energy in bungee jumping is affected by several factors, including the height of the jump, the weight of the jumper, and the elasticity of the bungee cord. A higher jump will result in a greater potential energy, while a heavier jumper will have more kinetic energy when falling. The elasticity of the cord also plays a role in how much potential energy is converted into kinetic energy and vice versa.

3. How does the bungee cord contribute to the conservation of energy?

The bungee cord is crucial in demonstrating the conservation of energy in bungee jumping. It acts as a spring, storing potential energy when stretched and releasing it as kinetic energy when contracted. The elasticity of the cord allows it to absorb and transfer energy back and forth, ensuring the safety of the jumper and maintaining the conservation of energy.

4. Does the law of conservation of energy always apply in bungee jumping?

Yes, the law of conservation of energy always applies in bungee jumping. This law states that energy cannot be created or destroyed; it can only be transformed from one form to another. In bungee jumping, the potential energy of the jumper is transformed into kinetic energy, and then back into potential energy, showing that the total energy remains constant throughout the jump.

5. Are there any risks to the conservation of energy in bungee jumping?

While bungee jumping is a safe activity when done correctly, there are still potential risks to the conservation of energy. If the bungee cord is not of high quality or is not properly attached, it may not have the necessary elasticity to absorb and transfer energy. This could result in the jumper hitting the ground with a significant amount of kinetic energy, potentially causing injury or death.

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