University Physics I · Work, energy, and conservative systems
Work of a quadratic position-dependent force
Problem
Work in an inertial laboratory frame, taking $+x$ right and $+y$ upward when components are needed. Treat the named body or bodies as the system, use SI units, and neglect only forces explicitly declared negligible. A particle moves along $+x$ from $x=0$ to $x=2.0\,\mathrm m$ under $F_x(x)=3x^2\,\mathrm N$, with $x$ numerically measured in metres. Find the work.
Hint
Set the integration limits from the stated endpoints.
Check your work
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