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For a very simple example, consider stretching a spring with equal andOK, let me continue with that example. Suppose that yesterday in class, I showed that a student applies an unopposed force as he pushes a crate on a frictionless table. By my definition (W=FD), he has done work. And since I can show that in this context, W=delta(.5mv^2), I call .5mv^2 the "motion-related work-changed quantity".
opposite forces applied at the ends. The net force is zero, the
displacement of the center of mass is zero, the pseudowork is zero, and the
change in the translational kinetic energy is zero. There is however real
positive work done by both forces, both of which act through displacements
in the direction of the force, and there is an increase of internal energy
of the system (the spring).