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When you try to stretch a bungee cord a distance x, it resists with an opposing force of the form b x2 , where b is a constant. If b is measured to be 6 N/m2 , how much work does it take to stretch the bungee cord a distance of 1 meter

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Answer:

2 Joules

Explanation:

From the given information;

the work required to stretch the bungee cord can be calculated as follows:

[tex]W = \int F \ dx\\[/tex]

[tex]= \int \eta x^2 \ dx[/tex]

[tex]= \eta \dfrac{x^3} {3}[/tex]

At a distance(x) of 1 m

[tex]W = 6 \times \dfrac{1^3}{3}[/tex]

W = 2 Joules

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