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Universal Gravitation Formula
In the universe, gravity can be described as the force that exists between any two objects that are attracted to one another. It is important to note that the attraction between two objects will depend on both the mass of the objects involved as well as the distance between the objects. As far as this is concerned, Newton’s Law of Universal Gravitation is one of the most important laws. As a result of an important equation, it quantifies the force of attraction. With the help of examples, this article will explain this Universal Gravitation Formula in greater detail.
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ToggleWhat is Acceleration due to Gravity?
Gravitational acceleration is acceleration brought on by the gravitational force. It has a direction and a magnitude. Gravitational acceleration is denoted by the letter g. Its typical value on Earth’s surface is 9.8 ms2. Newton’s Law of Universal Gravitation serves as the foundation for its calculation formula. This is an important aspect of the Universal Gravitation Formula.
The acceleration brought on by the gravitational force is referred to as acceleration due to gravity, and the SI unit for this acceleration is ms2. It is a vector quantity because it has a direction and a magnitude.
What is the Universal Gravitational?
Near Earth’s surface, the acceleration brought on by gravity is roughly constant. However, it varies when near other planets or moons, or when the distance from the Earth is great. According to the law of universal gravitation, any two objects in the universe are drawn to one another by a weaker type of force. This force is inversely proportional to the square of the distance between them, while it is directly proportional to the product of their masses. This is the simplest way of understanding the Universal Gravitation Formula in theory. This is also the explanation of the Universal Gravitation Formula that is easy for students to remember. Students can learn more about the Universal Gravitation Formula on the Extramarks platform. It is one of the most popular platform for online learning. This makes it reliable for a number of students. Extramarks has supported multiple schools in setting up interactive classrooms for students. It has always kept up with the technology to provide students with the best learning experience. Students can learn more about the Universal Gravitation Formula with the help of the Extramarks platform. This allows students to indulge in self study sessions and practise. This level of encouragement for students is necessary before the examinations, as it helps them keep their confidence high. For more confidence regarding the Universal Gravitation Formula, students can solve the multiple questions from the Extramarks platform. Students can find dedicated questions for the Universal Gravitation Formula. This will help them focus on the aspects that are important for the examination. They will also know the questions that are essential and recurring. An allround preparation and understanding is essential for the examinations.
Knowing about the important questions from the Universal Gravitation Formula is not enough. Students also need to know the solutions to the questions. Extramarks also has solutions and solved questions. The answers and solutions are drafted by experienced teachers, and they make the solutions that are acceptable in the examinations. The process and the steps of the solutions are recommended by the education boards and Extramarks adheres to all the guidelines of the education board.
The Formula for Universal Gravitation:
The objects in this universe are all attracted to each other in some way. Generally, Newton’s Law of Gravitation, which is also known as the gravitational force formula, is used to determine the magnitude of the force acting between two objects.
According to it,
F=G×M1M2r2
In the above equation, M1andM2 represent the masses of the objects involved. Here there is no difference in how big or small are the objects. Here r represents the distance between the objects.
G is the universal gravitation constant having fixed value as 6.673×10−11Nm2kg−2. Gravity is commonly misunderstood as a force that simply holds us on the Earth or it keeps planets in orbit. However, there are gravitational forces between all objects but normally we cannot feel it because Earth is having a very large mass and hence its gravitational force overshadows all of these other ones.
In addition, gravitational force is measured in Newtons (N). A general Physics law derived from Isaac Newton’s observations. It states that every mass points along a line intersecting both the endpoints of another mass point, and that mass point attracts mass point.
Solved Examples for Universal Gravitation Formula
Q.1: Find out the gravitational force, if two masses are 30 kg and 50 kg placed at a distance of 4 m.
Solution: Given parameters are,
G=6.673×10−11Nm2kg−2
M1=30kg,
M2=50kg,
r = 4 m
Universal Gravitation formula is:
F=G×M1M2r2
F=6.673×10−11×30×5042
=6.25×10−9N.
Thus gravitational force will be 6.25×10−9N.
Q.2: Calculate the gravitational force if the mass of two objects is 80 kg and 200 kg and they are placed at a distance of 6m.
Solution: Given parameters are,
G=6.673×10−11Nm2kg−2
M1=80kg,
M2=200kg,
r = 6 m
Universal Gravitation formula is: F=G×M1M2r2
F=6.673×10−11×80×20062
=2.965×10−8N
Thus, gravitational force will be 92.965×10−8N.