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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
4 votes
2 answers
599 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
2 answers
775 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
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
8 votes
11 answers
1k views

Is it more work to put more (apparent) effort to get the same outcome?

I was taking my dogs for a walk yesterday evening when this question occurred to me. The two dogs were pretty enthusiastic about the walk and wanted to run on ahead, so the leads were taut and they ...
komodosp's user avatar
  • 257
8 votes
4 answers
602 views

Is there a fundamental reason not to define the work vice-versa

My question arises from something which has never been really clear: in continuum mechanics, why is strain energy defined as: $$W=\int_\Omega \underline{\underline{\sigma}}:\mathrm{d}\underline{\...
anderstood's user avatar
1 vote
2 answers
403 views

Work Done on a rotating thin rod by hinge Forces

So I was studying the concept of rotational energy through a video, and the guy presented a problem, It's like this: "Suppose a thin rod of mass M and length L/2 is hinged from one end. Then, it ...
TPL's user avatar
  • 444
0 votes
1 answer
319 views

How can the Joule be the unit of both work and energy?

Say a person applies 1 N to a box with a mass of 1 kg, displacing 1 m. This is one Joule of work (1 N for 1 m). Now say the person applies 1 N to a box with double the mass, displacing 1 m as well. ...
DaPlaneNerd's user avatar
0 votes
1 answer
404 views

Work and chemical energy "paradox" [duplicate]

This is a mistake I've seen many people make, a few physicists included, but I haven't ever seen a satisfactory explanation for what's going on. Apologies for the lengthy setup. Setup Suppose I ...
Jay Lemmon's user avatar
-4 votes
1 answer
97 views

Does every object have an infinite amount of energy? [duplicate]

If energy is defined as the capacity to do work, and the formula for work is force times displacement, if we place an object on a frictionless surface and apply any amount of force to said object, the ...
ryangosling's user avatar