Work done by conservative forces

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SUMMARY

The work done by conservative forces is equal to the negative change in potential energy, as established in classical mechanics. This relationship is derived from the equation that states the work done by non-conservative forces plus the work done by conservative forces equals the change in kinetic energy. Therefore, the work done by conservative forces can be expressed as the negative of the change in potential energy, confirming the fundamental principles of energy conservation in physics.

PREREQUISITES
  • Understanding of classical mechanics principles
  • Familiarity with potential and kinetic energy concepts
  • Knowledge of conservative and non-conservative forces
  • Basic mathematical skills for manipulating equations
NEXT STEPS
  • Study the work-energy theorem in classical mechanics
  • Explore the differences between conservative and non-conservative forces
  • Learn about potential energy functions and their applications
  • Investigate mathematical derivations of energy conservation laws
USEFUL FOR

Students of physics, educators teaching mechanics, and anyone interested in understanding the principles of energy conservation and force interactions in physical systems.

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amount of work done by conservative force
=amount of decrement in potential energy
Is this correct?I think yes
Because I have been told that
Work done by non-conservative forces + work done by conservative forces = change in kinetic energy

but
Work done by non-conservative forces = change in potential energy + change in kinetic energy
so it implies

work done by conservative forces= negative of change in potential energy
So that change in potential energy cancels out and Work done by non-conservative forces + work done by conservative forces = change in kinetic energy.
 
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Yes, the work done by the conservative force is equal to the negative of the change in potential energy. By definition of potential energy.
I don't understand your last sentence. But there is no problem with this definition.
The change in kinetic energy is equal to the work done by all forces. Maybe using math formulas instead of word "formulas" will help.
 

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