4. A bungee cord exerts an elastic force given by F(x) = k1x+k2x³, where kı = 200 N/m and k2 -.25 N/m³, the second term being nonlinear and becoming important for large stretch distances. How much work does a jumper do on the cord if she stretches it 20 m ?
4. A bungee cord exerts an elastic force given by F(x) = k1x+k2x³, where kı = 200 N/m and k2 -.25 N/m³, the second term being nonlinear and becoming important for large stretch distances. How much work does a jumper do on the cord if she stretches it 20 m ?
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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![**Problem 4: Elastic Force in Bungee Cords**
A bungee cord exerts an elastic force given by the equation:
\[ F(x) = k_1x + k_2x^3 \]
where \( k_1 = 200 \, \text{N/m} \) and \( k_2 = -0.25 \, \text{N/m}^3 \). The second term in the equation is nonlinear and becomes significant for large stretch distances. The question posed is: How much work does a jumper do on the cord if she stretches it by \( 20 \, \text{m} \)?
This problem explores the physics of bungee cords, considering both linear and nonlinear force components, and involves calculating the work done based on these parameters.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1af144b1-86f1-4bbf-876f-693f648ad264%2Fcb380a10-a887-461d-8a45-4b903c249112%2Fyg3i5v_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem 4: Elastic Force in Bungee Cords**
A bungee cord exerts an elastic force given by the equation:
\[ F(x) = k_1x + k_2x^3 \]
where \( k_1 = 200 \, \text{N/m} \) and \( k_2 = -0.25 \, \text{N/m}^3 \). The second term in the equation is nonlinear and becomes significant for large stretch distances. The question posed is: How much work does a jumper do on the cord if she stretches it by \( 20 \, \text{m} \)?
This problem explores the physics of bungee cords, considering both linear and nonlinear force components, and involves calculating the work done based on these parameters.
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