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7 votes
1 answer
2k views

A Question about Virtual Work related to Newton's Third Law

In describing d'Alembert's principle, the lecture note I was provided with states that the total force $\mathbb F_l$ acting on a particle can be taken as, $$\mathbb F_l=F_l+\sum_mf_{ml}+C_l,$$ where $...
Webfarer Escape's user avatar
52 votes
4 answers
12k views

What's the real fundamental definition of energy?

Some physical quantities like position, velocity, momentum and force, have precise definition even on basic textbooks, however energy is a little confusing for me. My point here is: using our ...
Gold's user avatar
  • 36.4k
12 votes
2 answers
7k views

Can a force in an explicitly time dependent classical system be conservative?

If I consider equations of motion derived from the principle of least action for an explicitly time dependent Lagrangian $$\delta S[L[q(\text{t}),q'(\text{t}),{\bf t}]]=0,$$ under what circumstances (...
Nikolaj-K's user avatar
  • 8,513
4 votes
2 answers
598 views

Work done changes between reference frames?

(This is not homework; a friend shared with me this puzzler and neither of us can figure it out.) Suppose you are in a plane traveling at velocity $v_1$ relative to the ground. The flight attendent ...
Michael T.'s user avatar
18 votes
2 answers
107k views

Conceptually, what is negative work?

I'm having some trouble understanding the concept of negative work. For example, my book says that if I lower a box to the ground, the box does positive work on my hands and my hands do negative work ...
AndrewChang's user avatar
14 votes
5 answers
49k views

Proof of conservation of energy?

How is it proved to be always true? It's a fundamental principle in Physics based on all of our currents observations of multiple systems in the universe. Is it always true to all systems? Because we ...
AxtII's user avatar
  • 677
2 votes
1 answer
466 views

How can I understand work conceptually?

I'm in a mechanical physics class, and I'm having a hard time understanding what the quantity of work represents. How can I understand it conceptually?
Kevin's user avatar
  • 135
20 votes
3 answers
4k views

Conditions for a force to be conservative

Taylor's classical mechanics ,chapter 4, states: A force is conservative,if and only if it satisfies two conditions: $\vec{F}$ is a function of only the position. i.e $\vec{F}=\vec{F}(\vec{r})$. The ...
satan 29's user avatar
  • 1,295
2 votes
2 answers
772 views

How does the work-energy theorem relate to the first law of thermodynamics?

The work energy theorem states that the net work on a particle is equal to the change in the kinetic energy of the particle: $$W_{net}=\Delta K $$ My first question is whether this formula (the work-...
SalahTheGoat's user avatar
  • 1,581
1 vote
3 answers
593 views

What is the correct way to estimate the work done by a climber?

My teacher gave us a worksheet with word problems and their solutions. It is in German, so I have tried my best to translate it to English: A 26 year old man climbs Mount Everest (8848 m) in only 8 ...
daenadamonse's user avatar
1 vote
3 answers
9k views

Why can't we define a potential energy for a non-conservative force? [closed]

We could define potential energies for non-conservative forces too and then we could conserve it with kinetic and potential energy as we know it. But no one does that. Why is this? Please explain. Any ...
Subhranil Sinha's user avatar
5 votes
2 answers
2k views

Why does the work-energy theorem need to include internal forces?

Can anyone kindly explain me why work energy theorem must also include internal forces? The proof of work energy theorem is derived from Newton's laws of motion, but Newton's laws of motion don't ...
Ajay Sabarish's user avatar
4 votes
6 answers
1k views

Does work-energy theorem account for thermal energy?

Suppose a box (which I assume to be a rigid body) with an initial velocity that starts to slide on a level surface with friction. Imagine this experiment is done in vacuum, so there is no air drag or ...
M. Bagheri's user avatar
3 votes
3 answers
4k views

What is the work done against a force?

Suppose a particle travels a path $\gamma : I\subset \mathbb{R}\to \mathbb{R}^3$ subject to a force $\mathbf{F}: \mathbb{R}^3\to T\mathbb{R}^3$, then we know that we define the work done by the force ...
Gold's user avatar
  • 36.4k
3 votes
3 answers
223 views

Where does a torque-invoking force belong in work energy theorem?

First of all, sorry for the poorly phrased question, simply couldn't figure out a better way to put it. So, the work energy theorem states that work done on an object is equal to the change in its ...
GUNDOGAN's user avatar
  • 368

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