All Questions
7
questions
2
votes
1
answer
200
views
What is the vector field associated with potential energy?
The mere concept of a line integral is defined for a vector field, and I thus thought the following was a rigorous and general definition of potential energy:
Definition: Given a conservative force ...
- 379
-1
votes
1
answer
37
views
Conservation and potential with non-cartesian forces
I understand how to determine if a force is conservative from
\begin{equation}
\nabla\times \mathbf{F}=0 \implies \mathbf{F}\text{ is conservative}
\end{equation}
When $F$ is in cartesian coordinates.
...
- 19
2
votes
1
answer
192
views
Is there any special significance of force field in physics?
What is the formal definition of force field? Which is more fundamental force or field? Do field exist in nature (as force do i think as per section 12-1 of Feynman lecture volume 1, and page 8,9 of ...
- 181
1
vote
0
answers
20
views
Are the gradient field are the only fields which are only conservative? [duplicate]
I have found that gradient fields are always conservative. But for my knowledge I wanna ask "are the gradient fields are only fields which are conservative"? I mean is it necessary that a field which ...
- 1,149
1
vote
2
answers
2k
views
Does path independence of line integral imply that the given vector field is conservative (that is, it is negative gradient of some scalar potential)?
For a vector field, is path independence of line integral a necessary and sufficient condition for the field to be conservative or is it just a necessary condition? Please provide proof if possible.
- 121
0
votes
1
answer
215
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Solenoidal forces
As far as I know a solenoidal vector field is such one that
$$\vec\nabla\cdot \vec F=0.$$
However I saw a book on mechanics defining a solenoidal force as one for which the infinitesimal work ...
- 17.8k
0
votes
2
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105
views
What is the meaning of this definition of potential energy?
The isolated system of particles is being observed. In the coursebook, $\vec F_\mu$ is by definition the vector sum of forces of all other particles acting on $\mu$-th particle. Usually, potential ...
