Help with a physics/calc problem involving work.

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Homework Help Overview

The discussion revolves around a physics and calculus problem related to the concept of work, particularly in the context of fluid mechanics. Participants are exploring the relationship between force, volume, and density in the calculation of work.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to understand how the equation for work involving fluids relates force to volume and density, questioning the connection to the standard force equation (F=ma). Some participants suggest that there may be a misunderstanding regarding the definitions of mass and force in this context.

Discussion Status

The discussion is active, with participants raising questions about the definitions and relationships between mass, force, volume, and density. Some guidance has been offered regarding the assumptions made in fluid mechanics, but there is no explicit consensus on the correct interpretation of the equations involved.

Contextual Notes

Participants note that the problem is situated within a calculus class, where assumptions about mass and weight being equal have been introduced. There is also mention of different textbooks being used, which may present varying approaches to the topic.

Migkiller
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In my Calc II class, we are starting to learn applications regarding work. Now I know Work = the integral of (Force) x (Distance) dx, but the question involves a fluid. So the equation is
W= Integral of F x D dx, but we replace F= (Volume) x (Density). This is were I am confuse. How does (Volume) x (Density)=F?. Doesn't F=(mass) x (acceleration)? I don't see the relation between the F=V(density) and the F=ma.
 
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It doesn't. Must be a mistake. Volume * Density = mass, not force.
 
Must be volume*density*acceleration of fluid.
 
chaoseverlasting said:
Must be volume*density*acceleration of fluid.

I too believe this must be the case. In fluid mechanics parameters are frequently described through their volume density.
 
I asked my teacher, and because it's a math class, she said that we are to assume that mass and weight are equal.
 
what book are you using?

my Stewart 5th ed they do Work problems involving liquids to be:

W=F*d=m*a*d=Density*Volume*acceleration*distance
 
I'm using a book called Calculus 8th ed. by Larson, Hostetler and Edwards.
 

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