-
CBSE Important QuestionsβΊ
-
CBSE Previous Year Question PapersβΊ
- CBSE Previous Year Question Papers
- CBSE Previous Year Question Papers Class 12
- CBSE Previous Year Question Papers Class 10
-
CBSE Revision NotesβΊ
-
CBSE SyllabusβΊ
-
CBSE Extra QuestionsβΊ
-
CBSE Sample PapersβΊ
- CBSE Sample Papers
- CBSE Sample Question Papers For Class 5
- CBSE Sample Question Papers For Class 4
- CBSE Sample Question Papers For Class 3
- CBSE Sample Question Papers For Class 2
- CBSE Sample Question Papers For Class 1
- CBSE Sample Question Papers For Class 12
- CBSE Sample Question Papers For Class 11
- CBSE Sample Question Papers For Class 10
- CBSE Sample Question Papers For Class 9
- CBSE Sample Question Papers For Class 8
- CBSE Sample Question Papers For Class 7
- CBSE Sample Question Papers For Class 6
-
ISC & ICSE SyllabusβΊ
-
ICSE Question PaperβΊ
- ICSE Question Paper
- ISC Class 12 Question Paper
- ICSE Class 10 Question Paper
-
ICSE Sample Question PapersβΊ
- ICSE Sample Question Papers
- ISC Sample Question Papers For Class 12
- ISC Sample Question Papers For Class 11
- ICSE Sample Question Papers For Class 10
- ICSE Sample Question Papers For Class 9
- ICSE Sample Question Papers For Class 8
- ICSE Sample Question Papers For Class 7
- ICSE Sample Question Papers For Class 6
-
ICSE Revision NotesβΊ
- ICSE Revision Notes
- ICSE Class 9 Revision Notes
- ICSE Class 10 Revision Notes
-
ICSE Important QuestionsβΊ
-
Maharashtra boardβΊ
-
Rajasthan-BoardβΊ
- Rajasthan-Board
-
Andhrapradesh BoardβΊ
- Andhrapradesh Board
- AP Board Sample Question Paper
- AP Board syllabus
- AP Board Previous Year Question Paper
-
Telangana BoardβΊ
-
Tamilnadu BoardβΊ
-
NCERT Solutions Class 12βΊ
- NCERT Solutions Class 12
- NCERT Solutions Class 12 Economics
- NCERT Solutions Class 12 English
- NCERT Solutions Class 12 Hindi
- NCERT Solutions Class 12 Maths
- NCERT Solutions Class 12 Physics
- NCERT Solutions Class 12 Accountancy
- NCERT Solutions Class 12 Biology
- NCERT Solutions Class 12 Chemistry
- NCERT Solutions Class 12 Commerce
-
NCERT Solutions Class 10βΊ
-
NCERT Solutions Class 11βΊ
- NCERT Solutions Class 11
- NCERT Solutions Class 11 Statistics
- NCERT Solutions Class 11 Accountancy
- NCERT Solutions Class 11 Biology
- NCERT Solutions Class 11 Chemistry
- NCERT Solutions Class 11 Commerce
- NCERT Solutions Class 11 English
- NCERT Solutions Class 11 Hindi
- NCERT Solutions Class 11 Maths
- NCERT Solutions Class 11 Physics
-
NCERT Solutions Class 9βΊ
-
NCERT Solutions Class 8βΊ
-
NCERT Solutions Class 7βΊ
-
NCERT Solutions Class 6βΊ
-
NCERT Solutions Class 5βΊ
- NCERT Solutions Class 5
- NCERT Solutions Class 5 EVS
- NCERT Solutions Class 5 English
- NCERT Solutions Class 5 Maths
-
NCERT Solutions Class 4βΊ
-
NCERT Solutions Class 3βΊ
-
NCERT Solutions Class 2βΊ
- NCERT Solutions Class 2
- NCERT Solutions Class 2 Hindi
- NCERT Solutions Class 2 Maths
- NCERT Solutions Class 2 English
-
NCERT Solutions Class 1βΊ
- NCERT Solutions Class 1
- NCERT Solutions Class 1 English
- NCERT Solutions Class 1 Hindi
- NCERT Solutions Class 1 Maths
-
JEE Main Question PapersβΊ
-
JEE Main SyllabusβΊ
- JEE Main Syllabus
- JEE Main Chemistry Syllabus
- JEE Main Maths Syllabus
- JEE Main Physics Syllabus
-
JEE Main QuestionsβΊ
- JEE Main Questions
- JEE Main Maths Questions
- JEE Main Physics Questions
- JEE Main Chemistry Questions
-
JEE Main Mock TestβΊ
- JEE Main Mock Test
-
JEE Main Revision NotesβΊ
- JEE Main Revision Notes
-
JEE Main Sample PapersβΊ
- JEE Main Sample Papers
-
JEE Advanced Question PapersβΊ
-
JEE Advanced SyllabusβΊ
- JEE Advanced Syllabus
-
JEE Advanced Mock TestβΊ
- JEE Advanced Mock Test
-
JEE Advanced QuestionsβΊ
- JEE Advanced Questions
- JEE Advanced Chemistry Questions
- JEE Advanced Maths Questions
- JEE Advanced Physics Questions
-
JEE Advanced Sample PapersβΊ
- JEE Advanced Sample Papers
-
NEET Eligibility CriteriaβΊ
- NEET Eligibility Criteria
-
NEET Question PapersβΊ
-
NEET Sample PapersβΊ
- NEET Sample Papers
-
NEET SyllabusβΊ
-
NEET Mock TestβΊ
- NEET Mock Test
-
NCERT Books Class 9βΊ
- NCERT Books Class 9
-
NCERT Books Class 8βΊ
- NCERT Books Class 8
-
NCERT Books Class 7βΊ
- NCERT Books Class 7
-
NCERT Books Class 6βΊ
- NCERT Books Class 6
-
NCERT Books Class 5βΊ
- NCERT Books Class 5
-
NCERT Books Class 4βΊ
- NCERT Books Class 4
-
NCERT Books Class 3βΊ
- NCERT Books Class 3
-
NCERT Books Class 2βΊ
- NCERT Books Class 2
-
NCERT Books Class 1βΊ
- NCERT Books Class 1
-
NCERT Books Class 12βΊ
- NCERT Books Class 12
-
NCERT Books Class 11βΊ
- NCERT Books Class 11
-
NCERT Books Class 10βΊ
- NCERT Books Class 10
-
Chemistry Full FormsβΊ
- Chemistry Full Forms
-
Biology Full FormsβΊ
- Biology Full Forms
-
Physics Full FormsβΊ
- Physics Full Forms
-
Educational Full FormβΊ
- Educational Full Form
-
Examination Full FormsβΊ
- Examination Full Forms
-
Algebra FormulasβΊ
- Algebra Formulas
-
Chemistry FormulasβΊ
- Chemistry Formulas
-
Geometry FormulasβΊ
- Geometry Formulas
-
Math FormulasβΊ
- Math Formulas
-
Physics FormulasβΊ
- Physics Formulas
-
Trigonometry FormulasβΊ
- Trigonometry Formulas
-
CUET Admit CardβΊ
- CUET Admit Card
-
CUET Application FormβΊ
- CUET Application Form
-
CUET CounsellingβΊ
- CUET Counselling
-
CUET CutoffβΊ
- CUET Cutoff
-
CUET Previous Year Question PapersβΊ
- CUET Previous Year Question Papers
-
CUET ResultsβΊ
- CUET Results
-
CUET Sample PapersβΊ
- CUET Sample Papers
-
CUET SyllabusβΊ
- CUET Syllabus
-
CUET Eligibility CriteriaβΊ
- CUET Eligibility Criteria
-
CUET Exam CentersβΊ
- CUET Exam Centers
-
CUET Exam DatesβΊ
- CUET Exam Dates
-
CUET Exam PatternβΊ
- CUET Exam Pattern
Gravitational Force Formula
People began to understand gravity when Newton made his discovery. Additionally, gravity is now a concept that everyone is familiar with. One can realise that every other object in the cosmos is being pulled toward itself at the same moment. Therefore, to learn more, students can read the topic to discover the gravitational force, Gravitational Force Formula, Gravitational Force Formula derivation, and solved examples based on the Gravitational Force Formula.
Gravitational Force
There are a lot of forces, pushes, and pulls in the cosmos. Additionally, humans are constantly pushing or pulling something, even if it is just the ground. However, in reality, there are just four fundamental forces in Physics, from which all other forces are generated. These forces also include Gravitational Force Formula, electromagnetic force, weak force, and strong force.Β
Furthermore, any two mass-containing objects are drawn together by the Gravitational Force Formula. Additionally, this Gravitational Force Formula attracts because it never attempts to push masses apart but rather always pulls them together. Additionally, according to Newton’s Universal Law of Gravitation, every object in the cosmos, including humans, pulls on every other object in the universe.
Gravitational Force Formula
Newton’s law of gravitation is another name for the equation describing Gravitational Force Formula. The Gravitational Force Formula also specifies the strength of the force acting between two things. Additionally, the gravitational constant, G = 6.67 1011Nm2/kg2, is included in the equation for Gravitational Force Formula. In addition, the Gravitational Force Formula is measured in Newtons (N).Β
gravitational force = (ππππ£ππ‘ππ‘πππππππππ π‘πππ‘)(πππ π ππππππππ‘1)(πππ π ππππππππ‘2)(πππ π‘πππππππ‘π€πππππππππ‘π )2
πΉπ = πΊπ1π2π2
Derivation of the Gravitational Force Formula
- The Gravitational Force Formula between two objects is denoted by the symbol Fg (N = kgm/s2).Β
- The gravitational constant is denoted by the symbol G (G = 6.67 1011Nm2/kg2).Β
- m1 = denotes the first object’s mass in kilogrammes.Β
- m2 = denotes the second object’s mass in kilogrammes.Β
- The metres between the objects are indicated by the symbol r.
Gravity, often known as gravitation, is a phenomenon that suggests that there is a force acting between any two mass-containing objects. The Gravitational Force Formula is a constant force.Β
According to the Law of Gravity, the force of gravity is directly proportional to the product of two masses, m1 and m2, and inversely proportional to the square of the distance between them if they are kept at a distance of r from one another.
The majority of the cosmos is subject to the law of gravity. Any two things gravitate toward one another like any other two galaxies. Additionally, when the distance is great enough, the attractions are tiny, perhaps even nonexistent.Β
The way the stories come together can be valuable to students. They might have observed astronauts floating in space, for instance. The absence of gravity in the atmosphere is the cause of this. Students will comprehend and realise that the Gravitational Force Formula is what allows people to walk on earth.
Solved Example
Students can refer to the solved examples based on the Gravitational Force Formula that have been cited on the Extramarks website and mobile application. The notes and solutions based on the Gravitational Force Formula have been curated by Extramarksβ subject experts after great consideration and research on the past years’ papers. The framework of the Gravitational Force Formula notes designed by Extramarksβ subject specialists is very easy to understand and comprehend. The Gravitational Force Formula notes are extremely internet-compatible and students can also download them for offline study and reference.
Example 1
Imagine if two earth-orbiting spacecraft come very near to one another. Furthermore, they briefly separate by 100 metres. The satellites weigh 300 kg and 20 kg, respectively. Calculate the gravitational force that exists between these satellites.Β
Solution:Β
By applying the Gravitational Force Formula, one may determine the strength of the force between two satellites:Β
πΉπ = πΊπ1π2π2Β
πΉπ = (6.67Γ10β11πβ π2/ππ2)(300ππ)(20ππ)(100π)Β
2Β
πΉπ = (6.67Γ10β11πβ π2/ππ2)(6000ππ2)10000π2Β
πΉπ = (6.67Γ10β11πβ π2ππ2)Γ6000ππ210000π2Β
πΉπ = (6.67Γ10β11πβ π2ππ2)Γ(0.6000ππ2π2)Β
πΉπ = (6.67Γ10β11πβ π2ππ2)Γ(0.6000ππ2π2)Β
πΉπ = (6.67Γ10β11π)Γ (0.600)\sπΉπ β 4.00Γ10β11πΒ
Therefore, the gravitational force between the two satellites at a distance of 100 is equal to 4.001011N. (Newtons).
Example 2
Two enormous spheres were used in an experiment by scientists to measure the gravitational pull. Additionally, the two spheres are 2000.0Β apart and each weighs 1000.0 kg. Determine the gravitational pull between these two spheres now.Β
Solution:Β
So, using the Gravitational Force Formula, one can get the gravitational force between the spheres:Β
πΉπ = πΊπ1π2π2Β
πΉπ = (6.67Γ10β11πβ π2/ππ2)(1000ππ)(1000ππ)(2000π)Β
2Β
πΉπ = (6.67Γ10β11πβ π2/ππ2)(1.0000Γ106ππ2)4000π2Β
πΉπ = (6.67Γ10β11πβ π2ππ2)Γ1.0000Γ106ππ24.000π2Β
πΉπ = (6.67Γ10β11πβ π2ππ2)Γ(2.5000Γ105ππ2π2)Β
πΉπ =(6.67Γ10β11πβ π2ππ2)Γ(2.5000Γ105ππ2π2)Β
πΉπ = (6.67Γ10β11π)Γ(2.5000Γ105)Β
πΉπ = 16.675Γ10β6πΒ
πΉπ = 16.675Γ10β5πΒ
Therefore, the gravitational force between the two spheres is 16.675 106 N in strength.