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Re: positive and negative work



Justin Parke asked:

A conceptual question from the fifth edition of Serway and Faughn
College physics (ch. 5 number 2):
"Discuss whether any work is being done by each of the following agents
and, if so, whether the work is positive or negative:
d) the leg muscles of a person in the act of sitting down."

I say the muscles are doing negative work since they exert an upward
force (to prevent the person from simply falling into the chair) while
the motion of the person is down. The answer in the book is positive,
with no explanation given. Could someone explain this for me?

Let me try. Model the situation with a vertical spring
supporting a mass m; the system is in equilibrium. You
are the "agent" inside the spring (muscle). You have
to pull the ends of the spring toward each other. By
compressing the spring your two forces do positive work.
Ludwik Kowalski