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Kelsie Sawayn

Feb 20, 2025

A basket of negligible weight hangs from a vertical spring scale of force constant 1500N/m .?

If you suddenly put a 3.00kg adobe brick in the basket, find the maximum distance that the spring will stretch.Δlmax = ?cm I tried 19.6 cm but its wrong 🙁B) If, instead, you release the brick from 1.00m above the basket, by how much will the spring stretch at its maximum elongation?Δl = ?cm

2 Answers

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Madie Hilpert

Feb 20, 2025

let x metres be the vertical extension: conservation of energy:loss in potential energy = gain in spring p.e=> mgx = ½kx²=> x = 2mg/k = 2x3x(9.81)/1500 = 0.03924 m = 3.924 cmb) conservation of energy: mg (1+x) = ½kx²=> 1500x² – 6gx – 6g = 0or x² – .03924x – 0.004 = 0solving x = [0.03924 ± 0.13243]/2 = 0.086 m = 8.6 cmhope this helps... Show More

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