Calculating the Final Height of Chris's Bungee Jump

AI Thread Summary
Chris jumps off a bridge, falling 15m before the bungee cord stretches, and his mass is 75kg. The bungee cord follows Hooke's law with a spring constant of 50N/m. To calculate how far below the bridge Chris's feet will be before stopping, conservation of energy principles should be applied, considering both gravitational potential energy and elastic potential energy of the cord. The discussion emphasizes separating the energy calculations for Chris and the bungee cord before combining them. This approach will lead to the final height calculation below the bridge.
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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