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

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To calculate the force constant for safe bungee jumping, the formula F=kx is used, where F is the force (700 N) and x is the stretch of the cord (9 m). This results in a force constant k of 77.77 N/m. The discussion emphasizes the importance of ensuring the jumper stops safely 4.00 m above the river, indicating that the velocity should be zero at that point. Clarifications are made regarding the conditions under which the calculations apply, particularly focusing on achieving a safe landing. Proper understanding of these calculations is crucial for bungee jumping safety.
Marc Briancon
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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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