Calculate Force Constant for Safe Bungee Jumping: F=700N, x=9m, k=77.77 N/m

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SUMMARY

The discussion centers on calculating the force constant for a bungee cord to ensure a safe jump. The parameters provided include a force (F) of 700 N and a stretch distance (x) of 9 m, leading to a calculated force constant (k) of 77.77 N/m. The goal is to stop the jumper 4 m above the river, utilizing the formula F=kx. The participants confirm the correct application of the formula and clarify that the jumper's velocity must be zero at the stopping point.

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Bungee jumping- The unstretched length of the cord is 25.0m, the student weighs about 700N, and the balloon you start at is 36.0 m above the surface of the river below. Calculate the required force constant of the cord if the student is to stop safely 4.00m above the river.

So would I want to use F=kx, then set k=(F/x)...?

F=700 N
x=9 m
k=77.77 N/m

Is that right?
 
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Welcome to PF!

Marc Briancon said:
… Calculate the required force constant of the cord if the student is to stop safely 4.00m above the river.

So would I want to use F=kx, then set k=(F/x)...?

F=700 N
x=9 m
k=77.77 N/m

Is that right?

Hi Marc! Welcome to PF! :smile:

Isn't that when acceleration is zero?

You want the velocity to be zero. :wink:
 

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