Work Energy Theorem and total work

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SUMMARY

The correct form of the Work Energy Theorem is that Total Work equals the total change in Mechanical Energy, which includes both Potential and Kinetic Energy. This is confirmed by the discussion participants who emphasize that Total Work done due to pressure plus Change in Potential Energy equals Change in Kinetic Energy. The conservation of total energy is highlighted, stating that if mechanical energy is conserved, the relationship T1 + V1 = T2 + V2 holds true, where T represents kinetic energy and V represents potential energy.

PREREQUISITES
  • Understanding of the Work Energy Theorem
  • Familiarity with concepts of Potential Energy and Kinetic Energy
  • Basic knowledge of Bernoulli's Theorem in fluid dynamics
  • Ability to interpret energy conservation equations
NEXT STEPS
  • Study the derivation of the Work Energy Theorem in classical mechanics
  • Explore the implications of Bernoulli's Theorem in fluid dynamics
  • Learn about energy conservation principles in closed systems
  • Investigate the relationship between work done and energy transformations
USEFUL FOR

Physics students, educators, and engineers interested in mechanics, fluid dynamics, and energy conservation principles will benefit from this discussion.

spectrum123
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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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