Work done by a non conservative force

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SUMMARY

The discussion clarifies that the work done by a conservative force on a closed curve is zero, while non-conservative forces, such as friction, do not adhere to this principle. A conservative force is defined as one where the work done is independent of the path taken, relying solely on the initial and final positions. In the example provided, pushing a block against friction in both directions results in a net work that is not zero due to the energy lost to friction, demonstrating the characteristics of non-conservative forces.

PREREQUISITES
  • Understanding of conservative and non-conservative forces
  • Basic principles of work and energy in physics
  • Knowledge of frictional forces and their effects
  • Familiarity with closed curves in mechanics
NEXT STEPS
  • Study the principles of work-energy theorem in physics
  • Explore the characteristics and examples of conservative forces
  • Investigate the impact of friction on mechanical systems
  • Learn about potential energy and its relation to conservative forces
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Students of physics, educators teaching mechanics, and anyone interested in understanding the differences between conservative and non-conservative forces in physical systems.

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The work done by a conservative force on a closed curve is zero but why it isn't true for the non conservative force?
 
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What is the definition of a conservative force?
 
Suppose you have a block sitting on a table, and there is friction between the block and the table. You push the block in one direction for a while against the frictional force, and then you push the block in the opposite direction against the frictional force until the block is back to its original location. Is the amount of work you did zero?
 

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