B Why did it take 100 years approximately for the idea of energy to be accepted

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The acceptance of the idea that energy is proportional to the square of velocity took over 100 years due to the historical context of scientific understanding and experimentation. Early thinkers like Newton and Leibniz debated concepts of motion without fully grasping the distinction between momentum and energy. Newton's influence led to misconceptions about energy being directly proportional to momentum, which delayed the recognition of kinetic energy's true nature. It wasn't until later experiments, notably by Émilie du Châtelet, that the relationship between kinetic energy and the square of velocity was empirically established. The evolution of scientific thought illustrates the complexity of understanding fundamental concepts in physics.
  • #31
sophiecentaur said:
I think you underestimate the serious paradigm changes over the years and the immense leaps in understanding that have been achieved.
(back to the context of the thread, with a real quote of Newton) "If I have seen further it is by standing on the shoulders of giants." At some point in ones discoveries, while standing at the frontier of state of the art science, there are books yet to be written...
I'm not trying to say "everyone can master physics from scratch" I am saying "anyone might master physics if they put their mind to it"
 
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  • #32
anorlunda said:
When two objects collide and exchange momentum it makes a world of difference if the were traveling in the same or opposite directions.

That is a clue that momentum should be proportional to an odd power of v and energy to an even power of v.
But there are complications. When two equal balls collide head on and both stop dead, that seems to prove that there is nothing like "energy" that is conserved.

PS. If it wasn't clear to Newton, it is not that obvious.
 
  • #33
OmCheeto said:
...by 1790, someone obviously figured out how to measure speed accurately enough to determine that it was v2, and not v.
Measuring the speed wasn't necessary because they already knew that if you quadruple the height, impact velocity is doubled. If Du Châtelet's theory was correct then the impression should be 4 times as deep, not twice as deep.
 
  • #34
Great responses. I am marked to go by the idea that Newton was such a towering figure that some were unwilling to accept anything that went against his work. Still, what a guy.
 
  • #35
jerromyjon said:
I am saying "anyone might master physics if they put their mind to it"
You have clearly been listening to Fundamentalist Preachers or Government education ministers. I can think of a lot of not-un-bright people who would never get it. Let's hope you are not disappointed after you have put your mind to it.

To quote Rod Steiger "It doesn't mean you're a bad person". :wink:
 
  • #36
FactChecker said:
But there are complications. When two equal balls collide head on and both stop dead, that seems to prove that there is nothing like "energy" that is conserved.

PS. If it wasn't clear to Newton, it is not that obvious.
Do you think that they were approaching momentum and energy with conservation in mind?
 
  • #37
anorlunda said:
Do you think that they were approaching momentum and energy with conservation in mind?
Some people find it hard to empathise with other people's ignorance. It's just amazing how little the Scientists of the Enlightenment actually knew, compared with what we have found since.
"Conserve" is what you did with your food supplies over winter, in those days.
 
  • #38
sophiecentaur said:
Some people find it hard to empathise with other people's ignorance.
...
That's almost word for word what I told my sister last week.
Of course, being an 'old' man, I was wise enough not to argue with her.

One of my greatest thought experiments, and conversations, kind of mirrors what you just said:

Om; "I wonder, if the moon hadn't been tidally locked, if people would have realized the world was round, a tad bit sooner?"
Some person I at one time respected; "They were stupid. Of course the world is round."
I suppose, the next time I see him, I should ask him to prove the world is round.

ps. Anyone remember Cyrus? He posted something posted by Carl Sagan today, about the first guy to figure out the world was round. I really enjoyed it. 300 BC.
I think that is what brought up this memory.

pps. I think I've gone off topic. So, as always; Ok to delete, infract, and ban.
 
  • #39
anorlunda said:
Do you think that they were approaching momentum and energy with conservation in mind?
I am by no means a student of the history of physics, so I do not know what they were really thinking. But I could understand if they were reluctant to recognize a need for any new concept for moving objects such as "energy" that was different from momentum.
 
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  • #40
OmCheeto said:
I suppose, the next time I see him, I should ask him to prove the world is round.
If I lived then, I would have confidently and stubbornly believed that:
1) The world is flat.
2) There are obviously different rules for the Moon, Sun, and stars that float in the sky -- different from things on Earth that fall to the ground.
3) Fire is one of the four elements. It escapes when something burns.
I would know those things because I could see those facts with my own eyes.
 
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  • #41
My own "Why did it take so long" relates to flying. After 100 years of hot air ballooning we still didn't appear to understand that birds soar in thermals.
 
  • #42
FactChecker said:
If I lived then, I would have confidently and stubbornly believed that:
1) The world is flat.
2) There are obviously different rules for the Moon, Sun, and stars that float in the sky -- different from things on Earth that fall to the ground.
3) Fire is one of the four elements. It escapes when something burns.
I would know those things because I could see those facts with my own eyes.
Which would have been the best way to be about 'new things' in Science. It is essential that a change should be very hard to institute and that there should be many hurdles to jump before the establishment accepts a new idea. If it fails the first time round, it will be discovered again; what's a few decades of waiting, compared with even more time wasted when a phoney new idea is accepted?
You could just have been lucky, back then, to have been in the company of someone clever enough (or you could have been the one) and could actually associate yourself with a 'big step'.
In these modern times there is much more chance of being involved with Earth shattering new stuff - as long as you are bright enough to get the entry qualifications for such work. But, of course, no one has a cat's chance of getting far on their own, from scratch. There is an exception to that. Andrew Wiles was the sole worker on proving Fermat's Last Theorem. After his first dodgy proof, he locked himself away for several years with secret work and then came up with a good version. One man on his own - but that was Maths and he didn't need an LHC to get his result. (Read Simon Singh's book; excellent)
 
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  • #43
One might as well ask about the history of relativistic mass. It was coined in 1906, shown to be unnecessary and unhelpful in 1908, and today it's the Energizer Bunny of bad ideas.

The short answer is that in the XVIII century there was no concept of "energy". The concept was "vis viva" and it conflated the ideas of kinetic energy and momentum. Much of the debate was whether it was proportional to velocity or velocity squared. But very little of this would be recognizable to the modern student of mechanics - most of what we call "classical physics" was developed during the Great Quantification (my invention) from 1825 to 1865 or so. Asking why it took 100 years to sort this out is like asking why it took 200 years to get from Mozart to Debussey.
 
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  • #44
Vanadium 50 said:
One might as well ask about the history of relativistic mass. It was coined in 1906, shown to be unnecessary and unhelpful in 1908, and today it's the Energizer Bunny of bad ideas.

The short answer is that in the XVIII century there was no concept of "energy". The concept was "vis viva" and it conflated the ideas of kinetic energy and momentum. Much of the debate was whether it was proportional to velocity or velocity squared. But very little of this would be recognizable to the modern student of mechanics - most of what we call "classical physics" was developed during the Great Quantification (my invention) from 1825 to 1865 or so. Asking why it took 100 years to sort this out is like asking why it took 200 years to get from Mozart to Debussey.

Nice, Vanadium 50 (that element has one of the most persuasively beautiful names ever) -- I think we can all subtain in the recognition that Isaac Newton was a giant of intellect -- c'mon we're all bright guys here (and that includes the gals) but I presume to suppose that none of us here will claim to be a better pianist than Beethoven.
 
  • #45
sysprog said:
I presume to suppose that none of us here will claim to be a better pianist than Beethoven.
That is probably correct for the older members, I know some young men who have not yet accepted their real limits and for whom the sky is the limit. Women seem to start off with a realistic and mature attitude that many men have to wait many years for. (Those young men also tend to believe that they are immortal, can base jump and cycle up one way streets.)
 
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  • #46
sophiecentaur said:
That is probably correct for the older members, I know some young men who have not yet accepted their real limits and for whom the sky is the limit. Women seem to start off with a realistic and mature attitude that many men have to wait many years for. (Those young men also tend to believe that they are immortal, can base jump and cycle up one way streets.)
excellently good insights in a rather not overly long post -- yep -- back in '75 when I was 17 playin' Mario in my Mom & Dad's VW rabbit, although I was probably a bright guy, I was definitely effing stupid as eff to go about driving like/ [as if/were] 90 was parking speed, and everyone was immortal [I'm not much of a theist but I have more than zero faith) --

oh yeah and even then I knew (and continue now to know) "don't drive drunk" --

your thoughts are much appreciated -- Beethoven was by just about all competent concurrent accounts the most astonishingly best pianist of the few decades in which he lived -- whoever you are- well you're clearly a very bright person - not that that you require any ego massage, and (to me at least) more importantly, you seem to be a nice person ...
 
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