Calculating Spring Constant of Bungee Cord

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Homework Help Overview

The problem involves calculating the spring constant of a bungee cord based on the oscillatory motion of a jumper who has a mass of 77.0 kg and oscillates after jumping from a bridge.

Discussion Character

  • Exploratory, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to calculate the spring constant using the period of oscillation and the mass of the jumper, expressing uncertainty about their result. Other participants request to see the calculations and confirm the approach.

Discussion Status

The discussion is active, with participants engaging in verifying the calculations and confirming the method used by the original poster. There is no explicit consensus yet, as participants are still seeking clarification on the calculations.

Contextual Notes

Participants are discussing the relationship between the period of oscillation and the spring constant, with an emphasis on ensuring the calculations align with the provided equations.

HHippo
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Homework Statement


A bungee jumper with a mass of 77.0kg, jumps from a high bridge. He just touches the water in the river below and after reaching this lowest point, he oscillates up and down, hitting the lowest point another 8 times in 48.0 seconds. Calculate the spring constant of the bungee cord.

Homework Equations


F = -kx
T = 2π√(m/k)


The Attempt at a Solution


I thought the period was 6 (48/8) and then used those two equations to solve for k. Got 8.94 but I am not sure if I did it right...
 
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Hi HHippo, welcome to PH.
Will you please show your calculations?
 
You know the period and mass you can solve for the spring constant directly from the period equation. Check your math.
 
method seems correct show your calculations
 

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