Znaš kada triješ dlanove i zagreju se, ili kada se... Show more
Fizika
Srpski jezik
Hemija
Istorija
MatematikaSign up to see the contentIt's free!
Access to all documents
Improve your grades
Join milions of students
60
•
Updated May 10, 2026
•
Unutrašnja energija i toplota: Osnove i razumevanje
1 / 6
Osnove unutrašnje energije i toplote
Možeš da zamisliš da su sva tela oko tebe kao mini diskoteke - čestice se nikad ne zaustavljaju, već se stalno kreću i "plešu"! Zbog tog haotičnog kretanja, svako telo poseduje unutrašnju energiju.
Unutrašnja energija (U) je ukupna energija svih čestica u telu - njihovo kretanje plus energija njihovih veza. Meri se u džulima (J) i to je nešto što telo "ima".
Toplota (Q) je potpuno drugačija stvar - to nije nešto što telo poseduje, već način kako se energija prenosi sa toplijeg na hladnije telo. Zamisli je kao "energiju na putu".
💡 Zapamti: Telo nikad "nema toplotu" - ono ima unutrašnju energiju, a toplotu razmenjuje!
Temperatura (T) ti govori koliko su čestice "užurbane" u proseku. Što je temperatura viša, to se čestice kreću brže.
Od čega zavisi unutrašnja energija
Unutrašnja energija nije ista za sva tela - zavisi od tri ključne stvari koje možeš lako da zapamtiš.
Temperatura je prvi faktor. Kada se telo zagreje, čestice se kreću brže i imaju više energije. Vruća šoljica čaja ima veću unutrašnju energiju od iste takve hladne šoljice.
Masa tela (broj čestica) je drugi faktor. Kofa vode na 20°C ima mnogo više čestica nego čaša vode na istoj temperaturi, pa ima i veću unutrašnju energiju.
⚠️ Pazi: Visoka temperatura ne znači uvek veliku unutrašnju energiju! Varnica je vrućа, ali ima malu masu, dok jezero ima ogromnu unutrašnju energiju uprkos niskoj temperaturi.
Agregatno stanje takođe utiče. Gasovi imaju najveću unutrašnju energiju jer su im čestice najslobodnije, zatim tečnosti, a čvrsta tela najmanju.
Kako se menja unutrašnja energija
Unutrašnja energija nije fiksna - može da se menja na dva načina koji su ti verovatno poznati iz svakodnevnog života.
Mehanički rad (A) je prvi način. Kada triješ dlanove, vršiš rad nad njima i oni se greju - unutrašnja energija raste! Ili kada sabijaš gas u pumpi, pumpa se greje jer trošiš energiju na sabijanje.
Toplotna razmena (Q) je drugi način. Kada staviš lonac na ringlu, voda prima toplotu i njena unutrašnja energija raste. Kada se vruć čaj hladi, predaje toplotu vazduhu i njegova unutrašnja energija opada.
Ovo se sve može zapisati jednostavnom formulom: ΔU = Q + A. Ova formula se zove Prvi princip termodinamike i predstavlja zakon očuvanja energije.
📝 Ključno za test: Pazи na znakove! Q > 0 znači da telo prima toplotu, A > 0 znači da se rad vrši nad telom.
Primeri i rešavanje zadataka
Najbolji način da savladaš ovu gradivo je kroz konkretne primere koji ti pokazuju kako da razmišljaš.
Primer poređenja: Šta ima veću unutrašnju energiju - upaljena šibica ili jezero zimi? Iako je plamen mnogo topliji, jezero ima neuporedivo više čestica, pa je odgovor - jezero!
Primer računa: Gas primi toplotu Q = +800 J i izvrši rad od 300 J. Kolika je promena unutrašnje energije? Pošto gas vrši rad, A = -300 J. Primenjuješ formulu: ΔU = 800 J + = 500 J.
🎯 Savет za test: Najčešća greška je reći da telo "ima toplotu". Netačno! Telo ima unutrašnju energiju, a toplotu prima ili predaje.
Zapamti da toplota uvek ide sa toplijeg na hladnije telo - nikad spontano u obrnutom smeru. To je prirodan zakon koji važi uvek i svugde.
Tabela razlika i pregled za test
Da ne bi mešao osnovne pojmove, evo jasne tabele razlika:
| Veličina | Temperatura (T) | Unutrašnja energija (U) |
|---|---|---|
| Šta meri | Prosečnu brzinu čestica | Ukupnu energiju svih čestica |
| Od čega zavisi | Samo od kretanja čestica | Od T, mase i agregatnog stanja |
| Primer | Varnica: visoka T, mala U | Ledeni breg: niska T, ogromna U |
Ključne formule i pojmovi za test:
- ΔU = Q + A (Prvi princip termodinamike)
- U - unutrašnja energija (džuli)
- Q - toplota (džuli, pazi na predznak!)
- T - temperatura (Kelvini ili Celzijusi)
✅ Brza provera: Toplota nije svojstvo tela već proces prenosa energije. Unutrašnja energija zavisi od tri faktora. Prvi princip povezuje sve veličine.
Ovladavanje ovim pojmovima ti otvara vrata za razumevanje kako funkcioniše ceo svet oko tebe - od kuvanja do rada motora!
We thought you’d never ask...
What is the Knowunity AI companion?
Our AI companion is specifically built for the needs of students. Based on the millions of content pieces we have on the platform we can provide truly meaningful and relevant answers to students. But its not only about answers, the companion is even more about guiding students through their daily learning challenges, with personalised study plans, quizzes or content pieces in the chat and 100% personalisation based on the students skills and developments.
Where can I download the Knowunity app?
You can download the app in the Google Play Store and in the Apple App Store.
Is Knowunity really free of charge?
That's right! Enjoy free access to study content, connect with fellow students, and get instant help – all at your fingertips.
Most popular content in Fizika
Most popular content
Can't find what you're looking for? Explore other subjects.
Students love us — and so will you.
4.6/5
App Store
4.7/5
Google Play
The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.
Stefan S
iOS user
This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.
Samantha Klich
Android user
Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.
Anna
iOS user
I think it’s very much worth it and you’ll end up using it a lot once you get the hang of it and even after looking at others notes you can still ask your Artificial intelligence buddy the question and ask to simplify it if you still don’t get it!!! In the end I think it’s worth it 😊👍 ⚠️Also DID I MENTION ITS FREEE YOU DON’T HAVE TO PAY FOR ANYTHING AND STILL GET YOUR GRADES IN PERFECTLY❗️❗️⚠️
Thomas R
iOS user
Knowunity is the BEST app I’ve used in a minute. This is not an ai review or anything this is genuinely coming from a 7th grade student (I know 2011 im young) but dude this app is a 10/10 i have maintained a 3.8 gpa and have plenty of time for gaming. I love it and my mom is just happy I got good grades
Brad T
Android user
Not only did it help me find the answer but it also showed me alternative ways to solve it. I was horrible in math and science but now I have an a in both subjects. Thanks for the help🤍🤍
David K
iOS user
The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!
Sudenaz Ocak
Android user
In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.
Greenlight Bonnie
Android user
I found this app a couple years ago and it has only gotten better since then. I really love it because it can help with written questions and photo questions. Also, it can find study guides that other people have made as well as flashcard sets and practice tests. The free version is also amazing for students who might not be able to afford it. Would 100% recommend
Aubrey
iOS user
Best app if you're in Highschool or Junior high. I have been using this app for 2 school years and it's the best, it's good if you don't have anyone to help you with school work.😋🩷🎀
Marco B
iOS user
THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE Knowunity AI. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮
Elisha
iOS user
This app is phenomenal down to the correct info and the various topics you can study! I greatly recommend it for people who struggle with procrastination and those who need homework help. It has been perfectly accurate for world 1 history as far as I’ve seen! Geometry too!
Paul T
iOS user
The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.
Stefan S
iOS user
This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.
Samantha Klich
Android user
Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.
Anna
iOS user
I think it’s very much worth it and you’ll end up using it a lot once you get the hang of it and even after looking at others notes you can still ask your Artificial intelligence buddy the question and ask to simplify it if you still don’t get it!!! In the end I think it’s worth it 😊👍 ⚠️Also DID I MENTION ITS FREEE YOU DON’T HAVE TO PAY FOR ANYTHING AND STILL GET YOUR GRADES IN PERFECTLY❗️❗️⚠️
Thomas R
iOS user
Knowunity is the BEST app I’ve used in a minute. This is not an ai review or anything this is genuinely coming from a 7th grade student (I know 2011 im young) but dude this app is a 10/10 i have maintained a 3.8 gpa and have plenty of time for gaming. I love it and my mom is just happy I got good grades
Brad T
Android user
Not only did it help me find the answer but it also showed me alternative ways to solve it. I was horrible in math and science but now I have an a in both subjects. Thanks for the help🤍🤍
David K
iOS user
The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!
Sudenaz Ocak
Android user
In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.
Greenlight Bonnie
Android user
I found this app a couple years ago and it has only gotten better since then. I really love it because it can help with written questions and photo questions. Also, it can find study guides that other people have made as well as flashcard sets and practice tests. The free version is also amazing for students who might not be able to afford it. Would 100% recommend
Aubrey
iOS user
Best app if you're in Highschool or Junior high. I have been using this app for 2 school years and it's the best, it's good if you don't have anyone to help you with school work.😋🩷🎀
Marco B
iOS user
THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE Knowunity AI. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮
Elisha
iOS user
This app is phenomenal down to the correct info and the various topics you can study! I greatly recommend it for people who struggle with procrastination and those who need homework help. It has been perfectly accurate for world 1 history as far as I’ve seen! Geometry too!
Paul T
iOS user
Unutrašnja energija i toplota: Osnove i razumevanje
Znaš kada triješ dlanove i zagreju se, ili kada se pumpa za bicikl zagrije dok napuhuješ gumu? To su primeri kako energija "živi" unutar svih tela oko nas! Unutrašnja energija i toplota su ključni pojmovi koji objašnjavaju zašto se tela... Show more
Osnove unutrašnje energije i toplote
Možeš da zamisliš da su sva tela oko tebe kao mini diskoteke - čestice se nikad ne zaustavljaju, već se stalno kreću i "plešu"! Zbog tog haotičnog kretanja, svako telo poseduje unutrašnju energiju.
Unutrašnja energija (U) je ukupna energija svih čestica u telu - njihovo kretanje plus energija njihovih veza. Meri se u džulima (J) i to je nešto što telo "ima".
Toplota (Q) je potpuno drugačija stvar - to nije nešto što telo poseduje, već način kako se energija prenosi sa toplijeg na hladnije telo. Zamisli je kao "energiju na putu".
💡 Zapamti: Telo nikad "nema toplotu" - ono ima unutrašnju energiju, a toplotu razmenjuje!
Temperatura (T) ti govori koliko su čestice "užurbane" u proseku. Što je temperatura viša, to se čestice kreću brže.
Sign up to see the contentIt's free!
Access to all documents
Improve your grades
Join milions of students
Od čega zavisi unutrašnja energija
Unutrašnja energija nije ista za sva tela - zavisi od tri ključne stvari koje možeš lako da zapamtiš.
Temperatura je prvi faktor. Kada se telo zagreje, čestice se kreću brže i imaju više energije. Vruća šoljica čaja ima veću unutrašnju energiju od iste takve hladne šoljice.
Masa tela (broj čestica) je drugi faktor. Kofa vode na 20°C ima mnogo više čestica nego čaša vode na istoj temperaturi, pa ima i veću unutrašnju energiju.
⚠️ Pazi: Visoka temperatura ne znači uvek veliku unutrašnju energiju! Varnica je vrućа, ali ima malu masu, dok jezero ima ogromnu unutrašnju energiju uprkos niskoj temperaturi.
Agregatno stanje takođe utiče. Gasovi imaju najveću unutrašnju energiju jer su im čestice najslobodnije, zatim tečnosti, a čvrsta tela najmanju.
Sign up to see the contentIt's free!
Access to all documents
Improve your grades
Join milions of students
Kako se menja unutrašnja energija
Unutrašnja energija nije fiksna - može da se menja na dva načina koji su ti verovatno poznati iz svakodnevnog života.
Mehanički rad (A) je prvi način. Kada triješ dlanove, vršiš rad nad njima i oni se greju - unutrašnja energija raste! Ili kada sabijaš gas u pumpi, pumpa se greje jer trošiš energiju na sabijanje.
Toplotna razmena (Q) je drugi način. Kada staviš lonac na ringlu, voda prima toplotu i njena unutrašnja energija raste. Kada se vruć čaj hladi, predaje toplotu vazduhu i njegova unutrašnja energija opada.
Ovo se sve može zapisati jednostavnom formulom: ΔU = Q + A. Ova formula se zove Prvi princip termodinamike i predstavlja zakon očuvanja energije.
📝 Ključno za test: Pazи na znakove! Q > 0 znači da telo prima toplotu, A > 0 znači da se rad vrši nad telom.
Sign up to see the contentIt's free!
Access to all documents
Improve your grades
Join milions of students
Primeri i rešavanje zadataka
Najbolji način da savladaš ovu gradivo je kroz konkretne primere koji ti pokazuju kako da razmišljaš.
Primer poređenja: Šta ima veću unutrašnju energiju - upaljena šibica ili jezero zimi? Iako je plamen mnogo topliji, jezero ima neuporedivo više čestica, pa je odgovor - jezero!
Primer računa: Gas primi toplotu Q = +800 J i izvrši rad od 300 J. Kolika je promena unutrašnje energije? Pošto gas vrši rad, A = -300 J. Primenjuješ formulu: ΔU = 800 J + = 500 J.
🎯 Savет za test: Najčešća greška je reći da telo "ima toplotu". Netačno! Telo ima unutrašnju energiju, a toplotu prima ili predaje.
Zapamti da toplota uvek ide sa toplijeg na hladnije telo - nikad spontano u obrnutom smeru. To je prirodan zakon koji važi uvek i svugde.
Sign up to see the contentIt's free!
Access to all documents
Improve your grades
Join milions of students
Tabela razlika i pregled za test
Da ne bi mešao osnovne pojmove, evo jasne tabele razlika:
| Veličina | Temperatura (T) | Unutrašnja energija (U) |
|---|---|---|
| Šta meri | Prosečnu brzinu čestica | Ukupnu energiju svih čestica |
| Od čega zavisi | Samo od kretanja čestica | Od T, mase i agregatnog stanja |
| Primer | Varnica: visoka T, mala U | Ledeni breg: niska T, ogromna U |
Ključne formule i pojmovi za test:
- ΔU = Q + A (Prvi princip termodinamike)
- U - unutrašnja energija (džuli)
- Q - toplota (džuli, pazi na predznak!)
- T - temperatura (Kelvini ili Celzijusi)
✅ Brza provera: Toplota nije svojstvo tela već proces prenosa energije. Unutrašnja energija zavisi od tri faktora. Prvi princip povezuje sve veličine.
Ovladavanje ovim pojmovima ti otvara vrata za razumevanje kako funkcioniše ceo svet oko tebe - od kuvanja do rada motora!
Sign up to see the contentIt's free!
Access to all documents
Improve your grades
Join milions of students
We thought you’d never ask...
What is the Knowunity AI companion?
Our AI companion is specifically built for the needs of students. Based on the millions of content pieces we have on the platform we can provide truly meaningful and relevant answers to students. But its not only about answers, the companion is even more about guiding students through their daily learning challenges, with personalised study plans, quizzes or content pieces in the chat and 100% personalisation based on the students skills and developments.
Where can I download the Knowunity app?
You can download the app in the Google Play Store and in the Apple App Store.
Is Knowunity really free of charge?
That's right! Enjoy free access to study content, connect with fellow students, and get instant help – all at your fingertips.
0
Smart Tools NEW
Transform this note into: ✓ 50+ Practice Questions ✓ Interactive Flashcards ✓ Full Practice Test ✓ Essay Outlines
Practice Test
Quiz
Flashcards
Essay
Most popular content in Fizika
Most popular content
Can't find what you're looking for? Explore other subjects.
Students love us — and so will you.
4.6/5
App Store
4.7/5
Google Play
The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.
Stefan S
iOS user
This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.
Samantha Klich
Android user
Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.
Anna
iOS user
I think it’s very much worth it and you’ll end up using it a lot once you get the hang of it and even after looking at others notes you can still ask your Artificial intelligence buddy the question and ask to simplify it if you still don’t get it!!! In the end I think it’s worth it 😊👍 ⚠️Also DID I MENTION ITS FREEE YOU DON’T HAVE TO PAY FOR ANYTHING AND STILL GET YOUR GRADES IN PERFECTLY❗️❗️⚠️
Thomas R
iOS user
Knowunity is the BEST app I’ve used in a minute. This is not an ai review or anything this is genuinely coming from a 7th grade student (I know 2011 im young) but dude this app is a 10/10 i have maintained a 3.8 gpa and have plenty of time for gaming. I love it and my mom is just happy I got good grades
Brad T
Android user
Not only did it help me find the answer but it also showed me alternative ways to solve it. I was horrible in math and science but now I have an a in both subjects. Thanks for the help🤍🤍
David K
iOS user
The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!
Sudenaz Ocak
Android user
In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.
Greenlight Bonnie
Android user
I found this app a couple years ago and it has only gotten better since then. I really love it because it can help with written questions and photo questions. Also, it can find study guides that other people have made as well as flashcard sets and practice tests. The free version is also amazing for students who might not be able to afford it. Would 100% recommend
Aubrey
iOS user
Best app if you're in Highschool or Junior high. I have been using this app for 2 school years and it's the best, it's good if you don't have anyone to help you with school work.😋🩷🎀
Marco B
iOS user
THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE Knowunity AI. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮
Elisha
iOS user
This app is phenomenal down to the correct info and the various topics you can study! I greatly recommend it for people who struggle with procrastination and those who need homework help. It has been perfectly accurate for world 1 history as far as I’ve seen! Geometry too!
Paul T
iOS user
The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.
Stefan S
iOS user
This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.
Samantha Klich
Android user
Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.
Anna
iOS user
I think it’s very much worth it and you’ll end up using it a lot once you get the hang of it and even after looking at others notes you can still ask your Artificial intelligence buddy the question and ask to simplify it if you still don’t get it!!! In the end I think it’s worth it 😊👍 ⚠️Also DID I MENTION ITS FREEE YOU DON’T HAVE TO PAY FOR ANYTHING AND STILL GET YOUR GRADES IN PERFECTLY❗️❗️⚠️
Thomas R
iOS user
Knowunity is the BEST app I’ve used in a minute. This is not an ai review or anything this is genuinely coming from a 7th grade student (I know 2011 im young) but dude this app is a 10/10 i have maintained a 3.8 gpa and have plenty of time for gaming. I love it and my mom is just happy I got good grades
Brad T
Android user
Not only did it help me find the answer but it also showed me alternative ways to solve it. I was horrible in math and science but now I have an a in both subjects. Thanks for the help🤍🤍
David K
iOS user
The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!
Sudenaz Ocak
Android user
In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.
Greenlight Bonnie
Android user
I found this app a couple years ago and it has only gotten better since then. I really love it because it can help with written questions and photo questions. Also, it can find study guides that other people have made as well as flashcard sets and practice tests. The free version is also amazing for students who might not be able to afford it. Would 100% recommend
Aubrey
iOS user
Best app if you're in Highschool or Junior high. I have been using this app for 2 school years and it's the best, it's good if you don't have anyone to help you with school work.😋🩷🎀
Marco B
iOS user
THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE Knowunity AI. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮
Elisha
iOS user
This app is phenomenal down to the correct info and the various topics you can study! I greatly recommend it for people who struggle with procrastination and those who need homework help. It has been perfectly accurate for world 1 history as far as I’ve seen! Geometry too!
Paul T
iOS user