How does energy and forces interact?

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SUMMARY

The discussion centers on the fundamental relationship between energy and force in classical mechanics. It highlights the distinction between Newtonian analysis, which focuses on forces, and Lagrangian/Hamiltonian analysis, which emphasizes energy. The Lagrangian/Hamiltonian framework is noted for its application in quantum mechanics, suggesting its fundamental nature. However, complexities such as friction present challenges in modeling, indicating that the relationship is not straightforward.

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abi.ayan
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does energy comes from force or force comes from energy.Which is more fundamental energy or force?
 
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I am not sure that your question has a definite answer. Basically you can split classical mechanics into Newtonian analysis and Lagrangian/Hamiltonian analysis. The former uses forces, the latter uses energy. The Lagrangian/Hamiltonian approach is used in quantum mechanics, so you might say it is more fundamental. But there are situations, like friction, that are quite difficult to model that way. So it isn't obvious to me.
 

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