What Happens When Force is Not Constant in W = f x D?

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Homework Help Overview

The discussion revolves around the concept of work in physics, specifically the equation W = f x D, and the implications when the applied force is not constant. Participants explore the nature of variable forces and their relationship to work done over a distance.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants question how force varies with time and whether a function exists to express this variation. There is a mention of the limitations of the equation W = F*D when force is not constant, with suggestions to consider calculus for a more general approach.

Discussion Status

The discussion is ongoing, with some participants providing insights into the mathematical framework needed to address the question. There is an acknowledgment of the need for a more nuanced understanding of variable forces and their impact on work.

Contextual Notes

Participants note that the original equation is valid only for constant force and distance in the direction of the force, indicating a potential gap in understanding the broader implications of variable forces in the context of work.

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Homework Statement


W = f x D
W = work
f = force
D = distance

What happens when the applied force is not constant?


I have no idea. Can anyone please answer?
Thank you.
 
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Do you know how the force varies with time? Is there a function that expresses this?
 
No. Its just a research question that just ask what happens when the applied force is not constant.
 
W = F*D is only valid for a constant force and distance measured in the direction in which the force acts. There is a more general equation relating a variable force to distance and work. Properly, it involves calculus and vectors. Not sure what level you're at.
Ignoring the vector aspect, consider the force advancing a small distance ds, so that the force can be taken as not varying enough to matter. Then add up all these contributions over the total distance moved.
 

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