Law of Conservation of Mechanical Energy

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SUMMARY

The Law of Conservation of Mechanical Energy (LCME) states that mechanical energy, defined as the sum of kinetic and potential energy, is conserved only in conservative fields. In non-conservative fields, such as those influenced by friction or fluid drag, mechanical energy can be transformed into other energy forms like heat or radiation, leading to energy loss. This principle highlights the distinction between conservative forces, such as gravitation and electromagnetism, and non-conservative forces that disrupt energy conservation.

PREREQUISITES
  • Understanding of kinetic and potential energy concepts
  • Familiarity with conservative and non-conservative forces
  • Basic knowledge of energy transformation principles
  • Awareness of examples of conservative forces (e.g., gravity, electromagnetism)
NEXT STEPS
  • Research the implications of non-conservative forces on energy conservation
  • Study examples of energy transformation in real-world scenarios
  • Learn about the mathematical formulations of conservative and non-conservative forces
  • Explore the applications of the Law of Conservation of Energy in various physics problems
USEFUL FOR

Students of physics, educators teaching energy concepts, and anyone interested in the principles of mechanical energy conservation and its applications in real-world scenarios.

WiFO215
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[SOLVED] Law of Conservation of Mechanical Energy

1. I was just questioning myself about why LCME won't work under the influence of non-conservational forces

Could you go through my attached file I'd originally sent to my physics prof.? I have to wait a week before I meet him and get my answer and I'm not the pateint type and discussions of such types of questions are always interesting.


Thank you,
Anirudh
 

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anirudh215 said:
1. I was just questioning myself about why LCME won't work under the influence of non-conservational forces
The Law of Conservation of Mechanical Energy is just a special case of the general law of conservation of energy. Mechanical energy is defined as the total kinetic and potential energy. So if some of that mechanical energy is transferred into some other form of energy (eg. heat or radiation) mechanical energy cannot be conserved.

In a conservative field, the energy is always in the form of kinetic or potential energy. No kinetic or potential energy is lost (ie. kinetic energy is transferred only into potential energy and potential energy is transferred only into kinetic energy). Not so in a non-conservative field.

AM
 
Brilliant! Now why didn't I think of that?
 
The term "conservative force" in fact refers to a force that conserves mechanical energy. Gravitation and electromagnetism are examples; friction and fluid "drag" are non-conservative.
 

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