Exercise 7.14 Part A f you wanted to store 10.0 J of potential energy in this sp

Question

Exercise 7.14 Part A f you wanted to store 10.0 J of potential energy in this spring, what would be its total length? Assume that it continues to obey Hooke's law. An ideal spring of negligible mass is 13.00 cm long when nothing is attached to it. When you hang a 3.05-kg weight from it, you measure its length to be 14.40 cm Express your answer numerically. If there is more than one answer, enter each answer, separated by a comma. total = cm Submit My Answers Give Up Incorrect; One attempt remaining; Try Again; no points deducted Your answer does not have the correct number of comma-separated terms Provide Feedback Continue

Explanation / Answer

spring constant k= mg/x = 3.05*9.8/[0.144-0.13] = 2135 N/m

Energy stored = 0.5kx^2 = 10 J

x = sqrt(2*10/k) = sqrt(2*10/2135) = 0.0968 m = 9.68 cm

Total length = 13-9.68, 13+9.68

= 3.32 , 22.68 cm

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