All Questions
Tagged with definition forces
180
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How does one prove that the conservative force $\vec{F}$ is equal to the negative gradient of the potential $V$?
I have a grasp of the gradient theorem, and I understand that if we let $\phi$ be a function such that $\vec{F}=\nabla \phi$, and $V(\vec{x})$ be the potential at $\vec{x}$, then
$$-\int _C\vec{F}d\...
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3
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463
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What is the meaning of external force in the Newtonian force equation?
I came across the following in Goldstein's Classical Mechanics book, section 1.3.
In a system of particles, the equation of motion for the $i$'th particle is to be written
$$ \sum_j F_{ji}+F_i^{(e)}= \...
user310684
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Why is work done force times displacement? [duplicate]
Why is work done the product of force and displacement? Why not force and time?
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1
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376
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Why is $f = -\frac{du}{dx}$?
I am studying Newtonian Mechanics and I am familiar with single variable calculus.
I came across the concept of conservative and non conservative forces and potential energy. Here is what I understand:...
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4
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Why do we multiply $\cos θ$ in the formula for work? [duplicate]
I know that the formula for work, $W = FS\cos\theta$, where $F$ is the applied force, $S$ is the displacement of the object and $\theta$ is the angle between the applied force and the displacement of ...
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3
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161
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The unit of Torque [duplicate]
Whenever we define a physical quantity, we know what 1 unit of that quantity tells us. For example, when we say 5 Pa, we're saying 5 N force acts perpendicularly on every unit area of the material but ...
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4
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What's the difference between gravitational force and gravitational constant?
I was told that the gravitational constant is the pulling force between two objects in a distance with mass. Though, doesn't that have the same definition as a gravitational force? I know they're ...
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What is a physically precise definition of mass in Newtonian mechanics? [duplicate]
How do we get to know the concept of mass in Newtonian Mechanics?
Like, from Newton's Second Law of motion we get : $\frac{d\vec P}{dt} = \vec F$ from here, $m\frac{d\vec v}{dt} = F$, defining $\frac{...
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3
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Is the $d$ in $W=F*d$ displacement or distance?
My textbooks say that work=force times displacement but when I was considering conservative and non-conservative forces I got a bit confused. I know that the work done by non-conservative forces onto ...
2
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1
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What is a non-fundamental force?
We all know of the four fundamental forces, gravity, electromagnetism, strong, and weak. However, is there such a thing as a non-fundamental force, and if so, what is the definition of such a thing? ...
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4
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What is a fundamental force?
What is a fundamental force? I've been trying to find some kind of definition and the closest I've been to a definition so far is "In physics, the fundamental interactions, also known as ...
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Relationship between conservative and non-conservative forces with internal and external forces
Are there any kinds of relationship betweeen conservative and non-conservative forces with internal and external forces? If yes,please explain in detail.
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3
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Work done on a frictionless surface
Imagine that we apply a force $F$ on a frictionless surface to move a body by a distance $d$. (The body starts at rest and is stopped after moving a distance $d$.)
Is the work done $F d$?
But from ...
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1
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Positional is not equivalent to conservative in dimensions greater than one
I've just started writing dynamical systems and I was trying to find an example to show that if we are in a $2$ or $3$ dimensional real space "positional do not implies conservative".
In ...
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Why isn't the magnetic field defined by the magnetic force on a particle moving through it?
A magnetic field describes the influence a charge (in motion) experiences. In other words, it is essentially a vector field that describes the force that a particle will feel at a given location. ...
