What is the difference between thermodynamic and mechanical work? Should they show equal values in the experiment? If yes, what possible errors could have caused the difference in their values?

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter4: Nonlinear Oscillations And Chaos
Section: Chapter Questions
Problem 4.13P
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What is the difference between thermodynamic and mechanical work? Should they show equal values in the experiment? If yes, what possible errors could have caused the difference in their values?

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