Solved: Youre an engineer for a company that makes bungee-jump cords, and youre asked to

Chapter 6, Problem 83

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Youre an engineer for a company that makes bungee-jump cords, and youre asked to develop a formula for the work involved in stretching cords to double their length. Your cords have forcedistance relations described by F = -1kx + bx 2 + cx 3 + dx 4 2, where k, b, c, and d are constants. (a) Given a cord with unstretched length L0, whats your formula? (b) Evaluate the work done in doubling the stretch of a 10-m cord with k = 420 N/m, b = -86 N/m2 , c = 12 N/m3 , and d = -0.50 N/m4 .

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