A system contains a perfectly elastic spring, with an unstretched length of 20 cm and a spring constant of 4 N/cm. When the length of the spring changes from an initial value of 22.0 cm to a final value, the elastic potential energy it contributes changes by −0.0800 J. Find the final length.

Principles of Physics: A Calculus-Based Text
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Author:Raymond A. Serway, John W. Jewett
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Chapter6: Energy Of A System
Section: Chapter Questions
Problem 29P
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A system contains a perfectly elastic spring, with an unstretched length of 20 cm and a spring constant of 4 N/cm.

When the length of the spring changes from an initial
value of 22.0 cm to a final value, the elastic potential energy it contributes changes by −0.0800 J. Find the
final length.

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