(10%) Problem 8: The force required to compress a non-standard spring varies as
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(10%) Problem 8: The force required to compress a non-standard spring varies as the spring is compressed, as shown by the plot of force vs displacement in the figure. The distances in the figure are x,-15 cm, x2 = 45 cm, x3 = 55 cm, and x4 = 95 cm, and the forces are F1 = 140 N and F,--45 N 0 Otheexpertta.com 25% Part (a) Write an equation, in terms of the variables in the problem statement, for the amount of work required to compress the spring from the origin to x4 Grade Summary Deductions Potential 0% 100% Submissions Attempts remaining: 5 % per attempt) detailed view 123 0 Submit Hint I give up! Hints: 0% deduction per hint. Hints remaining: 2 Feedback: 0%-deduction per feedback 25% Part (b) Calculate the work done, in joules, on the spring as it is compressed from the origin to point x4 25% Part (c) Write an equation, in terms of the variables in the problem statement, for the amount of work required to compress the spring from x, to x3 ? ? 25% Part (d) Calculate the work done, in joules, on the spring it is compressed from the point ?1 to the point x3Explanation / Answer
(A) W = area under the F vs x curve,
W = (F1 X2 / 2) + (F2 (X4 - X2) / 2)
(B) W = (140 x 0.45 / 2) + (-45 x (0.95 - 0.45) / 2 )
W = 20.25 J
(C) W = (F1 (X2 - X1)/2) + (F2(X3 - X2)/2)
(D) W = (140 (0.45 - 0.15)/2) + (-45(0.55 - 0.45)/2)
W = 18.75 J
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