Conservative System: Energy Explained

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A conservative system is defined by the principle that its mechanical energy remains constant over time, represented by the equation Em = Ekin + Ep. In such systems, while kinetic energy (Ekin) and potential energy (Ep) can change, their total sum is conserved. This implies that energy can transform between kinetic and potential forms during motion, but the overall energy remains constant. Therefore, while Ekin and Ep are not individually constant, their combined total is a constant of motion. Understanding this concept is crucial for analyzing energy dynamics in conservative systems.
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What is meant by conservative systems?
Explain in the view of energy of the system.
 
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saravanan13 said:
What is meant by conservative systems?
Explain in the view of energy of the system.
Hi,

A conservative system has constant mechanical energy basically.
Em= Ekin + Ep=cte where Ekin is the kinetic energy and Ep is the potential energy.
 
conserved system have energy which are constant of motion?
It means that both kinetic and potential are time independent.
Can we say that these quantities are constant of motion.
 
saravanan13 said:
conserved system have energy which are constant of motion?
Yes
It means that both kinetic and potential are time independent.
Can we say that these quantities are constant of motion.
No they are not individually constant of motion but their sum is. Typically the kinetic energy is converted into potential energy and vice versa during a trajectory undergone by a conservative system.
 

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