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 meterA. 2JB. 3JC. 0.5JD. 1J

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Physics

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27 October, 06:47

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 meterA. 2JB. 3JC. 0.5JD. 1J

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Gary Barajas · Answer 1

B. 3J

Explanation:

Work done to stress a spring = 1/2Fe ... equation 1

Where F = force required to stretch the spring, e = extension.

Where

F = bx² ... Equation 2

Given: x = 1 m, b = 6 N/m²

Substitute into equation 2

F = 6 (1) ²

F = 6 N.

Also substitute the value of F into equation 1

Work done to stress a spring = 1/2 (6) (1)

Work done to stress a spring = 6/2

Work done to stress a spring = 3 J

Hence the right option is B. 3J