Energy and non-conservative forces

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SUMMARY

The discussion centers on the application of work done by non-conservative forces in energy conservation equations. Specifically, the equations K - W = U and K = U - W are analyzed in the context of objects in motion, such as those dropped from a height or thrown upwards. It is established that non-conservative forces, typically dissipative, reduce the total energy of a system, although external forces can add energy. Understanding the physical context of a problem is crucial for correctly applying these equations.

PREREQUISITES
  • Understanding of kinetic energy (K) and potential energy (U)
  • Familiarity with work-energy principles
  • Knowledge of non-conservative forces and their effects
  • Basic grasp of physics problem-solving techniques
NEXT STEPS
  • Study the implications of non-conservative forces in energy conservation
  • Learn about dissipative forces and their impact on mechanical systems
  • Explore examples of external forces that add energy, such as wind power
  • Review problem-solving strategies for energy conservation problems in physics
USEFUL FOR

Students of physics, educators teaching energy conservation concepts, and anyone interested in understanding the role of non-conservative forces in mechanical systems.

Josh0768
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Homework Statement
When accounting for the work done by non-conservative forces in conservation of energy problems, how can you tell which side of the equation that work needs to go in?
Relevant Equations
K - W = U
OR
K = U - W
??
I feel like it would go on the side of the energy the object has where it starts - an object dropped off a cliff would be modeled U - W = K but an object thrown upwards from ground level would be
K - W = U. I am not sure though.
 
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Josh0768 said:
Problem Statement: When accounting for the work done by non-conservative forces in conservation of energy problems, how can you tell which side of the equation that work needs to go in?
Relevant Equations: K - W = U
OR
K = U - W
??

I feel like it would go on the side of the energy the object has where it starts - an object dropped off a cliff would be modeled U - W = K but an object thrown upwards from ground level would be
K - W = U. I am not sure though.

I never quite understand these questions. It's a bit like asking: "if I have a finanicial transaction, when do I subtract it from my bank account and when do I add it?"

Normally these force are dissipative, so they reduce the total energy of the system. But, you could have external forces (like wind power) that add energy to a system.

Equations are generated by the physical aspects of the problem. If you understand the problem physically, then there should be no difficulty in generating the correct equation.
 

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