Prawo powszechnej grawitacji, sformułowane przez Izaaka Newtona w 1687 roku,... Show more
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Updated Mar 13, 2026
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Prawo Powszechnej Grawitacji Newtona - Co to jest?
Prawo powszechnej grawitacji i jego zastosowania
Prawo powszechnej grawitacji, znane również jako prawo grawitacji Newtona, zostało sformułowane przez Izaaka Newtona w 1687 roku. Stanowi ono fundamentalną zasadę fizyki, opisującą wzajemne oddziaływanie grawitacyjne między ciałami.
Definition: Prawo powszechnej grawitacji definicja stwierdza, że każde dwa ciała we wszechświecie przyciągają się wzajemnie siłami grawitacji.
Prawo powszechnej grawitacji wzór jest wyrażony matematycznie jako:
F = G(m₁m₂)/r²
gdzie:
- F to siła grawitacji
- G to stała grawitacyjna
- m₁ i m₂ to masy dwóch ciał
- r to odległość między środkami mas tych ciał
Highlight: Wartość siły grawitacji jest wprost proporcjonalna do iloczynu mas ciał i odwrotnie proporcjonalna do kwadratu odległości między ich środkami.
Warto zauważyć, że ze względu na niewielką wartość stałej grawitacyjnej G, siły grawitacji między obiektami codziennego użytku są zazwyczaj bardzo małe. Znaczące efekty grawitacyjne obserwujemy głównie w przypadku ciał o bardzo dużych masach, takich jak planety czy gwiazdy.
Example: Przejawem oddziaływania grawitacyjnego jest zjawisko spadania swobodnego. Ciało spada swobodnie, gdy jedyną działającą na nie siłą jest siła grawitacji, bez uwzględnienia oporów ruchu.
Przyspieszenie grawitacyjne to kluczowe pojęcie związane z prawem powszechnej grawitacji. Dla Ziemi wynosi ono około 9,81 m/s² . Można je obliczyć ze wzoru:
g = GM/R²
gdzie:
- g to przyspieszenie grawitacyjne
- G to stała grawitacyjna
- M to masa planety (np. Ziemi)
- R to promień planety
Vocabulary: Stan nieważkości to sytuacja, w której jedyną siłą działającą na ciało jest siła grawitacji. W takim stanie ciała nie wywierają na siebie żadnego nacisku.
Example: Stan nieważkości można zaobserwować w poruszającym się bez napędu statku kosmicznym na orbicie.
Prawo powszechnej grawitacji ma szerokie zastosowanie w astronomii, inżynierii kosmicznej i wielu innych dziedzinach nauki. Pozwala ono na zrozumienie ruchu planet, satelitów, a także projektowanie misji kosmicznych. Prawo powszechnego ciążenia zadania często obejmują obliczenia sił grawitacyjnych między ciałami niebieskimi lub określanie orbit satelitów.
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: prawo powszechnej grawitacji Newtona
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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
Prawo Powszechnej Grawitacji Newtona - Co to jest?
Prawo powszechnej grawitacji, sformułowane przez Izaaka Newtona w 1687 roku, opisuje wzajemne przyciąganie się ciał. Prawo powszechnej grawitacji definicja mówi, że siła grawitacji jest proporcjonalna do iloczynu mas ciał i odwrotnie proporcjonalna do kwadratu odległości między nimi. Prawo powszechnej grawitacji... Show more
Prawo powszechnej grawitacji i jego zastosowania
Prawo powszechnej grawitacji, znane również jako prawo grawitacji Newtona, zostało sformułowane przez Izaaka Newtona w 1687 roku. Stanowi ono fundamentalną zasadę fizyki, opisującą wzajemne oddziaływanie grawitacyjne między ciałami.
Definition: Prawo powszechnej grawitacji definicja stwierdza, że każde dwa ciała we wszechświecie przyciągają się wzajemnie siłami grawitacji.
Prawo powszechnej grawitacji wzór jest wyrażony matematycznie jako:
F = G(m₁m₂)/r²
gdzie:
- F to siła grawitacji
- G to stała grawitacyjna
- m₁ i m₂ to masy dwóch ciał
- r to odległość między środkami mas tych ciał
Highlight: Wartość siły grawitacji jest wprost proporcjonalna do iloczynu mas ciał i odwrotnie proporcjonalna do kwadratu odległości między ich środkami.
Warto zauważyć, że ze względu na niewielką wartość stałej grawitacyjnej G, siły grawitacji między obiektami codziennego użytku są zazwyczaj bardzo małe. Znaczące efekty grawitacyjne obserwujemy głównie w przypadku ciał o bardzo dużych masach, takich jak planety czy gwiazdy.
Example: Przejawem oddziaływania grawitacyjnego jest zjawisko spadania swobodnego. Ciało spada swobodnie, gdy jedyną działającą na nie siłą jest siła grawitacji, bez uwzględnienia oporów ruchu.
Przyspieszenie grawitacyjne to kluczowe pojęcie związane z prawem powszechnej grawitacji. Dla Ziemi wynosi ono około 9,81 m/s² . Można je obliczyć ze wzoru:
g = GM/R²
gdzie:
- g to przyspieszenie grawitacyjne
- G to stała grawitacyjna
- M to masa planety (np. Ziemi)
- R to promień planety
Vocabulary: Stan nieważkości to sytuacja, w której jedyną siłą działającą na ciało jest siła grawitacji. W takim stanie ciała nie wywierają na siebie żadnego nacisku.
Example: Stan nieważkości można zaobserwować w poruszającym się bez napędu statku kosmicznym na orbicie.
Prawo powszechnej grawitacji ma szerokie zastosowanie w astronomii, inżynierii kosmicznej i wielu innych dziedzinach nauki. Pozwala ono na zrozumienie ruchu planet, satelitów, a także projektowanie misji kosmicznych. Prawo powszechnego ciążenia zadania często obejmują obliczenia sił grawitacyjnych między ciałami niebieskimi lub określanie orbit satelitów.
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.
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Most popular content: prawo powszechnej grawitacji Newtona
Most popular content in Fizyka
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