Work Energy Theorem and total work

AI Thread Summary
The discussion centers on the correct formulation of the Work Energy Theorem, with three proposed expressions for total work and changes in mechanical energy. There is confusion regarding the application of these formulas in proving Bernoulli's Theorem for fluids, particularly the role of pressure work and potential energy. The consensus leans towards the idea that total work done due to pressure equals the total change in mechanical energy, which includes both potential and kinetic energy. The conversation emphasizes that energy conservation principles apply, illustrating how changes in potential energy correlate with changes in kinetic energy. Ultimately, the relationship between work done and energy changes is crucial for understanding fluid dynamics.
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Plz tell me
Which is correct form of Work Energy theorem
1. Total Work = Toatl change in Mechanical Energy(Potental + Kinetic)
2. Total Work + Potential Energy = Total Change in Kinetic Energy
3. Total Work = Total Change in Kinetic Energy (Mention in the textbooks)

Actually i am confused when i prove Bernoulli Theorem for fluid.
Some writers use Total Work done(Due to pressure) + Change in Potential Energy = Change in Kinetic Energy


I think the expression is this one

Total Work done(Due to pressure) = Total Change in Mechanical Energy(Potential Energy + Kinetic Energy)
 
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It depends on the signs you use.
Total energy is conserved.
 
If mechanical energy is conserved , then you have : T1+ V1 = T2+V2
(T: kinetic energy, V: potential energy)
It can be written as T2-T1=V1-V2=>DT=-DV
Thus the potential energy diminishes. The amount of change in the potential energy is the work done, which is finally converted in kinetic energy, thus increasing its value.
 
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