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Grade upto college level Mechanics

A stiff spring has a force law given by F = – kx3. The work required to stretch the spring from the relaxed state x = 0 to the stretched length x = l is W0. In terms of W0, how much work is required to extend the spring from the stretched length 1 to the length 2l?

Profile image of Amit Saxena
11 Years agoGrade upto college level
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2 Answers

Profile image of Navjyot Kalra
11 Years ago
232-281_1.PNG
Profile image of Hasan Naqvi
11 Years ago
F = – kx3
W = ∫F.dx
W= – ∫kx3.dx
= – kx4/4
Wo = -kl4/4
W in stretching from 0 to 2l= -16kl4/4 = 16 Wo
Work in stretching from l to 2l = 15Wo