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Qmechanic ♦
Qmechanic ♦
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Does nonconservativenon-conservative force have potential energy?

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Felix wong
Felix wong
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I was reading Classical Dynamics of Particles and Systems, Marion 5th edition, and faced a conundrum.

According to the book, if potential energy is not an explicit function of time, which is $\frac{\partial U}{\partial t} $ = $0$. Then it is conservative force, and if is not equal to $0$, which is $\frac{\partial U}{\partial t} \neq 0 $. Then it is nonconservative force.

I was wondering if a nonconservative force has potential energy. I tried to google this and most of them say there is no potential energy associated with nonconservative forces.

If the potential energy of nonconservative force can't be defined, then how can we differentiate potential energy with respect to time since we don't have a potential energy function for nonconservative force?

Please provide me with an example if there is a potential energy function for nonconservative force.

$\textbf{My Idea:}$

It doesn't matter if we have a potential energy function of nonconservative force or not, we just have to check if the kinetic energy and the potential energy ( conservative force) are conserved.

Regards,

I was reading Classical Dynamics of Particles and Systems, Marion 5th edition, and faced a conundrum.

According to the book, if potential energy is not an explicit function of time, which is $\frac{\partial U}{\partial t} $ = $0$. Then it is conservative force, and if is not equal to $0$, which is $\frac{\partial U}{\partial t} \neq 0 $.

I was wondering if a nonconservative force has potential energy. I tried to google this and most of them say there is no potential energy associated with nonconservative forces.

If the potential energy of nonconservative force can't be defined, then how can we differentiate potential energy with respect to time since we don't have a potential energy function for nonconservative force?

Please provide me with an example if there is a potential energy function for nonconservative force.

$\textbf{My Idea:}$

It doesn't matter if we have a potential energy function of nonconservative force or not, we just have to check if the kinetic energy and the potential energy ( conservative force) are conserved.

Regards,

I was reading Classical Dynamics of Particles and Systems, Marion 5th edition, and faced a conundrum.

According to the book, if potential energy is not an explicit function of time, which is $\frac{\partial U}{\partial t} $ = $0$. Then it is conservative force, and if is not equal to $0$, which is $\frac{\partial U}{\partial t} \neq 0 $. Then it is nonconservative force.

I was wondering if a nonconservative force has potential energy. I tried to google this and most of them say there is no potential energy associated with nonconservative forces.

If the potential energy of nonconservative force can't be defined, then how can we differentiate potential energy with respect to time since we don't have a potential energy function for nonconservative force?

Please provide me with an example if there is a potential energy function for nonconservative force.

$\textbf{My Idea:}$

It doesn't matter if we have a potential energy function of nonconservative force or not, we just have to check if the kinetic energy and the potential energy ( conservative force) are conserved.

Regards,

Source Link
Felix wong
Felix wong
  • 33
  • 4

Does nonconservative force have potential energy?

I was reading Classical Dynamics of Particles and Systems, Marion 5th edition, and faced a conundrum.

According to the book, if potential energy is not an explicit function of time, which is $\frac{\partial U}{\partial t} $ = $0$. Then it is conservative force, and if is not equal to $0$, which is $\frac{\partial U}{\partial t} \neq 0 $.

I was wondering if a nonconservative force has potential energy. I tried to google this and most of them say there is no potential energy associated with nonconservative forces.

If the potential energy of nonconservative force can't be defined, then how can we differentiate potential energy with respect to time since we don't have a potential energy function for nonconservative force?

Please provide me with an example if there is a potential energy function for nonconservative force.

$\textbf{My Idea:}$

It doesn't matter if we have a potential energy function of nonconservative force or not, we just have to check if the kinetic energy and the potential energy ( conservative force) are conserved.

Regards,