1. A bungee cord exerts a non-linear elastic force of magnitude: F(x)=K₁X+K₂x³ where x is the distance the cord is stretched, k₁ = 214 N/m and k₂= -0.234 N/m³. How much work must be done on the cord to stretch it 16.7 m? Think & Prepare 1. Is the force constant or does it vary with distance? 2. From the previous step, what method would you use to calculate the work done? W= J

University Physics Volume 1
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Chapter7: Work And Kinetic Energy
Section: Chapter Questions
Problem 41P: Engineers desire to model the magnitude of the elastic force of a bungee cord using the equation...
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1. A bungee cord exerts a non-linear elastic force of magnitude:
F(x) = k₁x+K₂x³
where x is the distance the cord is stretched, k₁ = 214 N/m and k₂= -0.234 N/m³. How much work
must be done on the cord to stretch it 16.7 m?
Think & Prepare
1. Is the force constant or does it vary with distance?
2. From the previous step, what method would you use to calculate the work done?
W=
J
Transcribed Image Text:1. A bungee cord exerts a non-linear elastic force of magnitude: F(x) = k₁x+K₂x³ where x is the distance the cord is stretched, k₁ = 214 N/m and k₂= -0.234 N/m³. How much work must be done on the cord to stretch it 16.7 m? Think & Prepare 1. Is the force constant or does it vary with distance? 2. From the previous step, what method would you use to calculate the work done? W= J
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