Work-KE theorem and net force....

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SUMMARY

The work-kinetic energy theorem asserts that the mechanical work done by a net force is equal to the change in kinetic energy of an object. In scenarios involving both conservative and nonconservative forces, the net force is determined by the vector sum of these forces. For conservative forces, the relationship between kinetic energy change (ΔKE) and potential energy change (ΔPE) is defined as ΔKE = -ΔPE. Nonconservative forces, however, only affect kinetic energy and do not contribute to potential energy changes, emphasizing that work done by nonconservative forces is not associated with potential energy.

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  • Understanding of the work-kinetic energy theorem
  • Familiarity with conservative and nonconservative forces
  • Knowledge of potential energy (PE) and kinetic energy (KE) concepts
  • Basic grasp of vector summation in physics
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  • Study the implications of the work-energy theorem in various physical systems
  • Explore examples of conservative and nonconservative forces in real-world applications
  • Learn about the mathematical formulation of potential energy functions
  • Investigate the effects of net force on kinetic energy in dynamic systems
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  • #31
fog37 said:
OK, the pucks on the air table...mechanical energy is conserved while it is not for the blocks with friction...

So, it IS important for the internal forces to be conservative for ME to be conserved!
Therefore, for ME to be conserved, two conditions must be satisfied:

a) The internal force pairs must be conservative
b) The net external force is either zero or conservative
A zero force does count (trivially) as conservative.
 
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  • #32
fog37 said:
Therefore, for ME to be conserved, two conditions must be satisfied:

a) The internal force pairs must be conservative
b) The net external force is either zero or conservative
Isn't that simply all forces then?
 
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  • #33
I guess so :)
 
  • #34
In general, when discussing conservation of mechanical energy for a system, the system is considered isolated which implies that no mass or energy can enter or exit the system. Isolated means that the system does not interact with the environment in any fashion. Lack of external interaction means lack of external force. The net external force ##F_{net}## must be automatically zero if the system is isolated since the system cannot receive or lose energy. I see how a net force can add or subtract energy to the system. How could an external force add or subtract mass to the system?

For an isolated system, energy can only transfer between different parts within the system itself...
 
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