# How did we come about dicovering energy and why is Joule its unit?

1. Apr 12, 2013

### Melac12

When my textbook talks about energy it starts with kinetic and potential. The derivation goes like this. F=ma=m(dv/dt)=-mg then they split the derivative using chain rule
(dv/dt)=(dv/dy)(dy/dt) therefore since (dy/dt)=v we get F=mv(dv/dy)=-mg then they write mv dv= -mg dy then they integrate ∫mv dv= -∫mg dy and we get
(1/2)(mv^2)-(1/2)(mv^2)=-(mgy)+(mgy)
Then the text book just defines kinetic and potential energy and says that J=1kg(m/s)^2

I have a hard time understanding why they did this things. If I were a scientist what would make me do all those steps then integrate and then define energy with that unit. What made them think that that derived unit represents energy? How do they know they are right? Energy is not something we see like motion and its not something we feel like force, but we know its there. And clearly energy is related to force so how did scientists put it all together?
If anyone can explain to me why this is a good way to define energy and perhaps also tell me how scientists got to it historically, it would be greatly appreciated.
1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

2. Apr 12, 2013

### Dick

Forget about the calculus. If you can feel force then wouldn't make sense that work (energy) should be something like force*distance?

3. Apr 13, 2013

### SteamKing

Staff Emeritus
4. Apr 13, 2013

### Andrew Mason

These are good questions. It is not immediately obvious why energy is defined this way. It took scientists a long time - almost 200 years after Newtons laws - to realize this. Unfortunately, few introductory physics texts go into the history of how this concept evolved.

It was Joule (1818-1889) who first demonstrated the relationship between heat and work.

With this understanding that heat could be created by work, it was first realized that energy - the ability to do work - is always conserved, in some form, in any interaction. This was fundamental to the development of the field of thermodynamics. The standard unit of energy was named the Joule in recognition of the importance of Joule's contribution.

The History of Energy is quite interesting and I would recommend the wiki article.

AM

5. Apr 14, 2013

### arildno

As Andrew says:
A very good question, and non-trivial.
Basically, what we learn today is the fastest way by means of logic&math to reach "energy"; that fastest way was NOT how, historically, the energy concept developed.

6. Apr 14, 2013

### voko

It has been known since Galileo that the height from which a body falls is proportional to the square of its final velocity.

7. Apr 14, 2013

### Staff: Mentor

It seems to me that the earliest of the energy-related concepts was "work" as force times distance, which goes back to the early 1600s in connection with levers. Think of the "law of the lever" in which force times distance is the same on both "sides" of the lever.