Calculating the Final Height of Chris's Bungee Jump

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Homework Help Overview

The problem involves calculating the final height of Chris's bungee jump, considering the dynamics of a bungee cord that follows Hooke's law. The scenario includes parameters such as Chris's mass, the height of the jump, and the spring constant of the bungee cord.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss using conservation of energy as a potential approach. Questions arise about how to incorporate Hooke's law into the conservation of energy framework. There is also a focus on identifying the energy associated with both Chris and the bungee cord separately.

Discussion Status

The discussion is ongoing, with participants exploring different aspects of the problem. Some have suggested using conservation of energy, while others are questioning how to properly integrate Hooke's law into their calculations. There is no explicit consensus yet, but guidance has been offered on breaking down the problem into manageable parts.

Contextual Notes

Participants are working under the assumption that air resistance can be neglected and that the mass of the bungee cord is insignificant. There is also a mention of the initial height from which Chris jumps.

gillyr2
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Homework Statement



Chris jumps off a bridge with a bungee cord tied around his ankle. He falls for 15m before the bungee cord begins to stretch. Chris's mass is 75kg and we assume the cord obeys Hooke's law F = -kx, with k=50N/m. If we neglect air resistance estimate how far below the bridge Chris's foor will be before coming to a stop. Ignore the mass of the cord and treat Chris as a particle.


Homework Equations


well i know h = 60m. but i don't know how I am suppose to get there.


The Attempt at a Solution



no idea what so ever
 
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pleae someone help
 
Use conservation of energy.
 
how exactly do i encorporate hookes law in the conservation of energy equation?
 
What's the expression for the elastic potential energy stored in a stretched spring?
 
"Relevant equations"

Hi gilly! :smile:

how exactly do i encorporate hookes law in the conservation of energy equation?

Whoa! Don't do it all at once. Don't start incorporating one thing into another. :smile:

You have two objects - Chris and the cord.

What is the energy of each?

Write them down separately. Then go from there. :smile:
 

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