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An ideal spring of negligible mass is 12.00 cm long when

Chapter 9, Problem 14E

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QUESTION:

An ideal spring of negligible mass is 12.00 cm long when nothing is attached to it. When you hang a 3.15-kg weight from it, you measure its length to be 13.40 cm. If 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.

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QUESTION:

An ideal spring of negligible mass is 12.00 cm long when nothing is attached to it. When you hang a 3.15-kg weight from it, you measure its length to be 13.40 cm. If 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.

ANSWER:

Solution 14E Hooke’s law is given by F = kx, where k is the force constant of a spring and x is its elongation. When the 3.15 kg weight is hung from the spring, its length changes by x = 13.40 12.00 cm = 1.40 cm = 0.014 m Now, the force needed to extend the

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