Spring constant and bungee jumping.

AI Thread Summary
The discussion revolves around calculating the speed of a bungee jumper after falling specific distances and understanding the role of the spring constant in the process. For part a, the jumper's speed after falling 9m is calculated to be 13.3 m/s using the equation for free fall. In part b, there is uncertainty about how to incorporate the spring constant after the initial 9m fall, with a suggestion that it relates to elastic potential energy. The position-time graph is expected to resemble a parabola, but clarification is sought on whether constant acceleration applies in this scenario. The conversation emphasizes the importance of energy conservation in solving the problem.
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Homework Statement



68kg bungee jumper standing on a 46m platform above the ground. The bungee cord has no effect for 9m(ie natural cord length is 9m)

when the bungee jumper is more than 9m away the spring constant is k=66N/m

a)what is his speed after falling 9m from the platform?
b)what is his speed after falling 31m from the platform?
c) sketch the position-time graph.

Homework Equations





The Attempt at a Solution



a) vf^2=0^2 + (2x9.8x9)
=13.3 m/s

b) for b I'm not sure how to factor in the spring constant. and i don't know if i should factor it in from the start or after 9m, I am assuming after 9m. i think it relates to Usp=.5kx^2

c) for the graph it would just be a parabola right? no need to draw one for me.
 
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anotherperson said:
b) for b I'm not sure how to factor in the spring constant. and i don't know if i should factor it in from the start or after 9m, I am assuming after 9m. i think it relates to Usp=.5kx^2
It does relate to the elastic energy. Energy is conserved, so that's a good way to start.

c) for the graph it would just be a parabola right? no need to draw one for me.
Only for constant acceleration. Is it in this situation? :wink:
 
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