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$\begingroup$ What if force is being applied to our object over an infinite duration? In that case, would work and energy be infinite? $\endgroup$– ryangoslingCommented May 2 at 17:03
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$\begingroup$ If you consider the "total work" to be the total work done after an infinite amount of time has passed, then yes it's "infinite" in the sense that the work is growing without bound. But the total work done "up til now" for a given time remains finite, at all times. $\endgroup$– AwkwardWhaleCommented May 2 at 18:35
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$\begingroup$ In general you should be very wary of trying to draw conclusions from the infinite time limit of models with external forces and no damping. The external forces you're modelling, in the real world actually require an energy reservoir to sustain them, and this is certainly not infinite; i.e. realistic models should only apply the force for a finite length of time $\endgroup$– AwkwardWhaleCommented May 2 at 18:37
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$\begingroup$ @ryangosling I completely agree with the comments of AwkwardWhale (I'm only making this comment to tag you) $\endgroup$– Níckolas AlvesCommented May 3 at 0:04
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