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Fun Universal Gravitation Practice Problems with Solutions PDF for Kids
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Zuzanna K
@zuzannak_pqhj
1 / 3
Advanced Universal Gravitation Problems
This page continues with more complex universal gravitation practice problems with solutions. It presents two additional problems that require students to apply their knowledge of the gravitational force equation in different ways.
Problem 8 asks students to find the distance between two spherical objects given their masses and the gravitational force between them. This problem introduces the concept of solving for distance when force is known, using the equation r = √.
Example: The solution shows that for objects with masses 8.1 x 10² kg and 4.5 x 10³ kg experiencing a gravitational force of 1.9 x 10⁻³ N, the distance between their centers is 113.119 m.
Problem 9 requires students to determine the mass of one object given the distance between two objects, the gravitational force, and the mass of the other object. This problem utilizes the equation m₁ = r²F/(Gm₂) to solve for mass.
Highlight: These problems demonstrate how the universal gravitation equation can be rearranged to solve for different variables, enhancing students' problem-solving skills.
By working through these problems, students learn how to find gravitational force with mass and distance, as well as how to calculate other variables when given partial information. This page reinforces the versatility of the gravitational force formula and its applications in various scenarios.
Complex Gravitational Force Calculations
The final page of the practice set presents a comprehensive problem that explores multiple aspects of gravitational force calculations. This problem focuses on the interaction between two objects of significantly different masses, similar to calculating the gravitational force of a planet on a smaller object.
The problem involves a 1.0 kg object located 7.0 x 10⁸ m from the center of a larger object with a mass of 2.0 x 10³⁰ kg. Students are asked to solve four related questions:
a) Calculate the force acting on the smaller object. b) Determine the force acting on the larger object. c) Find the acceleration of the smaller object when released. d) Calculate the acceleration of the larger object when released.
Highlight: This problem emphasizes Newton's Third Law of Motion, showing that the gravitational force is equal and opposite for both objects, regardless of their mass difference.
Example: The solution demonstrates that the gravitational force between the objects is 272.245 N, acting on both the smaller and larger objects.
The problem also introduces the concept of acceleration due to gravity by combining the gravitational force formula with Newton's Second Law of Motion . This allows students to calculate the vastly different accelerations experienced by objects of greatly varying masses under the same gravitational force.
Vocabulary: Acceleration due to gravity is the rate at which an object's velocity changes due to gravitational force.
By solving this multi-part problem, students gain a deeper understanding of how gravitational force equations and solutions apply to real-world scenarios, such as the interaction between planets and smaller celestial bodies or objects on their surface. This comprehensive example ties together various concepts related to universal gravitation and provides valuable practice in applying gravitational force formulas to complex situations.
Universal Gravitation Practice Problems
This page introduces a set of practice problems focused on universal gravitation. Students are presented with the fundamental equation for gravitational force: Fg = Gm₁m₂/r². The page also provides additional formulas for solving related problems, such as finding distance or mass when other variables are known.
Definition: Universal gravitation is the force of attraction between all masses in the universe, described by Newton's law of universal gravitation.
Highlight: The gravitational constant G is given as 6.67 x 10⁻¹¹ N*m²/kg², which is crucial for solving these problems.
Two specific problems are presented on this page:
- Calculating the gravitational attraction force between two spherical objects with masses of 8000 kg and 1500 kg, separated by 1.5 m.
- Finding the gravitational force between two objects with masses of 7.5 x 10⁵ kg and 9.2 x 10⁷ kg, separated by 2.5 x 10³ m.
Example: For the first problem, the solution shows that the gravitational force between the two objects is 3.557 x 10⁻⁴ N.
These problems demonstrate how to apply the gravitational force formula to real-world scenarios, helping students understand the concept of calculating gravitational force between objects with mass.
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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?
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Most popular content in AP Physics 1
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4.7/5
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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
Fun Universal Gravitation Practice Problems with Solutions PDF for Kids
Z
Zuzanna K
@zuzannak_pqhj
Universal gravitation is a fundamental concept in physics that describes the attractive force between all objects with mass. This practice set covers various universal gravitation practice problems with solutions, helping students understand and apply the gravitational force formula.
- The... Show more
Advanced Universal Gravitation Problems
This page continues with more complex universal gravitation practice problems with solutions. It presents two additional problems that require students to apply their knowledge of the gravitational force equation in different ways.
Problem 8 asks students to find the distance between two spherical objects given their masses and the gravitational force between them. This problem introduces the concept of solving for distance when force is known, using the equation r = √.
Example: The solution shows that for objects with masses 8.1 x 10² kg and 4.5 x 10³ kg experiencing a gravitational force of 1.9 x 10⁻³ N, the distance between their centers is 113.119 m.
Problem 9 requires students to determine the mass of one object given the distance between two objects, the gravitational force, and the mass of the other object. This problem utilizes the equation m₁ = r²F/(Gm₂) to solve for mass.
Highlight: These problems demonstrate how the universal gravitation equation can be rearranged to solve for different variables, enhancing students' problem-solving skills.
By working through these problems, students learn how to find gravitational force with mass and distance, as well as how to calculate other variables when given partial information. This page reinforces the versatility of the gravitational force formula and its applications in various scenarios.
Sign up to see the contentIt's free!
Access to all documents
Improve your grades
Join milions of students
Complex Gravitational Force Calculations
The final page of the practice set presents a comprehensive problem that explores multiple aspects of gravitational force calculations. This problem focuses on the interaction between two objects of significantly different masses, similar to calculating the gravitational force of a planet on a smaller object.
The problem involves a 1.0 kg object located 7.0 x 10⁸ m from the center of a larger object with a mass of 2.0 x 10³⁰ kg. Students are asked to solve four related questions:
a) Calculate the force acting on the smaller object. b) Determine the force acting on the larger object. c) Find the acceleration of the smaller object when released. d) Calculate the acceleration of the larger object when released.
Highlight: This problem emphasizes Newton's Third Law of Motion, showing that the gravitational force is equal and opposite for both objects, regardless of their mass difference.
Example: The solution demonstrates that the gravitational force between the objects is 272.245 N, acting on both the smaller and larger objects.
The problem also introduces the concept of acceleration due to gravity by combining the gravitational force formula with Newton's Second Law of Motion . This allows students to calculate the vastly different accelerations experienced by objects of greatly varying masses under the same gravitational force.
Vocabulary: Acceleration due to gravity is the rate at which an object's velocity changes due to gravitational force.
By solving this multi-part problem, students gain a deeper understanding of how gravitational force equations and solutions apply to real-world scenarios, such as the interaction between planets and smaller celestial bodies or objects on their surface. This comprehensive example ties together various concepts related to universal gravitation and provides valuable practice in applying gravitational force formulas to complex situations.
Sign up to see the contentIt's free!
Access to all documents
Improve your grades
Join milions of students
Universal Gravitation Practice Problems
This page introduces a set of practice problems focused on universal gravitation. Students are presented with the fundamental equation for gravitational force: Fg = Gm₁m₂/r². The page also provides additional formulas for solving related problems, such as finding distance or mass when other variables are known.
Definition: Universal gravitation is the force of attraction between all masses in the universe, described by Newton's law of universal gravitation.
Highlight: The gravitational constant G is given as 6.67 x 10⁻¹¹ N*m²/kg², which is crucial for solving these problems.
Two specific problems are presented on this page:
- Calculating the gravitational attraction force between two spherical objects with masses of 8000 kg and 1500 kg, separated by 1.5 m.
- Finding the gravitational force between two objects with masses of 7.5 x 10⁵ kg and 9.2 x 10⁷ kg, separated by 2.5 x 10³ m.
Example: For the first problem, the solution shows that the gravitational force between the two objects is 3.557 x 10⁻⁴ N.
These problems demonstrate how to apply the gravitational force formula to real-world scenarios, helping students understand the concept of calculating gravitational force between objects with mass.
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 in AP Physics 1
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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