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Force of Attraction Formula

Last updated date: 25th Feb 2024
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State the Force of Attraction Formula

The force of attraction is a force that draws the body close to it due to an attraction. In nature, several attraction forces exist. These are the electric force, magnetic force, electrostatic force, gravitational force, and electromagnetic force. Gravitational force is a well-recognized force that attracts the body towards it despite the distance. Through Newton’s Gravitational force we get a lot of clarification regarding this force and how it operates. It states that the mass existing in the Universe attracts some or other mass prevalent in the universe. It validates that anything that is thrown up eventually comes down. The formula of the force of attraction is based on this theory. 

Representation of Force of Attraction Equation

Suppose there are two masses denoted by ma and mb separated by a space. Then the force of attraction formula is stated by 


Fg = \[\frac {(G m_a m_b)} {d^2}\]




F= force of attraction


G= gravitational constant


ma= mass of the first object a


mb= mass of second object b


d = distance between two objects d


This force of attraction formula helps in the calculation of any two bodies having a greater mass as the smaller mass is insignificant. 


Even when things are not in close proximity, the force of attraction draws them together. Learn about the three forces of gravitational, electrical, and magnetic attraction, as well as their formulae and concepts.

What is meant by Gravity?

Gravity is probably the most well-known force of all. We people on Earth imagine gravity as an apple landing on Isaac Newton's head. It is only due to the gravity that we observe things falling to the ground. Similar instances occur throughout the universe as well. However, this is merely our perception of gravity. In reality, just as the earth pulls the apple towards it owing to gravity, the apple also pulls the earth. The problem is that the earth is so enormous that the gravitational interactions of every other item on the globe are overwhelmed. 

Every item with mass has a gravitational pull on everything else. This force explains why the planets orbit, among other reasons. Furthermore, everything, including you, pulls every other object in the cosmos, which is known as Newton's Universal Law of Gravitation. The acceleration of the moon as compared to the acceleration of things on Earth by Issac Newton. Newton was able to derive an important conclusion regarding the dependency of gravity on distance by believing that gravitational forces were responsible for each. He came to the conclusion that the gravitational pull between the Earth and other things is inversely proportional to the distance between the Earth's center and the object's center based on this comparison. However, distance isn't the only factor that influences the amplitude of gravitational forces.

What Do You Mean by Electric Force?

The electric force, also known as the electrostatic force, is the second force that may induce attraction. While gravity affects mass things, electrostatic forces impact charge objects. The quantity of electrons and protons in a thing determines its charge. Most items are electrically neutral, which means they contain an equal number of electrons (which have a negative charge) and protons (which have a positive charge). Objects can, however, lose electrons and become positively charged, or absorb electrons and become negatively charged. As a result, positive and negative charges will attract one another. As a result, the adage "opposites attract" is true.

What is Magnetic Force?

The magnetic force is the third force that may produce attraction. Objects with magnetic characteristics are attracted by the magnetic force. A magnet attracts iron-rich metals, such as steel, as well as nickel and cobalt. When a north magnetic pole is placed close to a south magnetic pole when an object is magnetized, the magnetic force is attracted. Electric currents are the primary source of magnetism. There is an electric current when charges move. The electric force affects charges that do not move, while the magnetic force affects charges that move. The proverb 'Opposites attract' may also be explained by magnetic attraction.

Factors affecting the Three Forces of Gravitational, Electrical, and Magnetic Attraction

The gravitational force is equal to the product of the masses, m1 and m2, and inversely proportional to the square of the distance between the two masses, denoted by r. The attraction is inversely proportional, which implies that it is strong when the masses are near to each other and weak when they are far apart.

The force of electrical attraction is proportional to the product of the charges, and it is inversely proportional to the square of the distance between the charges, exactly like gravitation. There exists an attraction between a positive and a negative charge separated by r.

The force is stronger when the charges are near to one another, and weaker when the charges are further apart, just as the gravitational force.

Metal atoms contribute electrons to nonmetal atoms when metals and nonmetals combine to create compounds. Because of the loss of negatively charged electrons, metal atoms become positive ions, whereas nonmetal atoms become negative ions. Ions display attraction forces toward ions with opposite charge, giving rise to the saying "opposites attract." Coulomb's law governs the force of attraction between oppositely charged ions: F = k * q1 * q2 / d2, where F is the force of attraction in Newtons, q1 and q2 are the charges of the two ions in coulombs, d is the distance between the nuclei of the two ions in meters, and k is a proportionality constant of 8.99 x 109 Newton square meters per square coulomb.


The formula of force of attraction is important to understand the concept of gravity that works on the earth. Moreover, when we calculate force of attraction it also explains the gravitational phenomenon that happens in space. 

FAQs on Force of Attraction Formula

1. What is Gravitational Attraction Formula?

In this universe, each body attracts the other body towards itself with a force known as the gravitational force. It studies the interaction between two masses. The force of attraction between two bodies states that the product of their masses is directly proportional and the square root of the distance between them is inversely proportional. 

The gravitational force of attraction formula of force is given below:

Fg ∞ \[\frac {(m_a m_b)} {d^2}\]


F = gravitational force between the two bodies

ma= mass of the first body 

mb= mass of the second body 

r= distance between the center of two bodies

2. What is the electrostatic attraction formula?

In physics, the electrostatic attraction formula deals with properties and phenomena of slow-moving or stationary electric charges. Coulomb’s law describes the electrostatic phenomenon that arises from forces that electrically charged objects exert on each other. We can start with the magnitude of the electrostatic force between two points p and P. It will be safe to denote one charge as p as a test charge and another charge as P as a source charge. Once the theory is developed, more sources of charges are added. If r measures the distance between two charges, then the electrostatic attraction equation is 

F= \[\frac {1} {4\pi \varepsilon_0}\]    \[\frac {pP} {r^2}\]   = ke \[\frac {pP} {r^2}\]

3. State the Magnetic Attraction Equation?

The magnetic force between two charges in motion is stated as an effect exerted upon any one of the charges created by the magnetic field of another charge. It mainly arises from the interaction of magnetic fields. The magnitude of magnetic force is based on the fact that how much charge is in how much motion in every object and how far apart they are. In other words, if we place a point charge q in the presence of an electric field expressed by a magnitude E(r), and a magnetic field expressed by a magnitude B(r). Then the total force applied to the electric charge q can be written as a sum of both electric force and magnetic force acting upon it. (F electric + F magnetic)

Mathematically, we can express the magnetic attraction equation as:

\[F = q[E(r) + v × B(r)]\]

4. State an example of an attractive force in nature.

In nature, there are several attractive forces at work. Magnetic force, electric force, electrostatic force, and gravitational force are a few examples. Gravitational force is a well-known example of a force of attraction since it attracts things regardless of their distance. There are multiple examples that are prevalent in nature such as magnetic forces of attraction, electrostatic forces of attraction, ionic forces, and so on. The study of these forces is quite important as they are important topics in the field of physics and have a great impact on other laws and forces as well.

5. What are ionic forces of attraction?

The attraction between positively and negatively charged ions is known as ionic bonding. Ionic networks (or lattices) are formed when oppositely charged ions attract one another. When a huge number of ions attract one another, they create vast, structured crystal lattices in which each ion is surrounded by ions of the opposite charge. The study of these forces is critical since they are key issues in the realm of physics, chemistry and other related fields of study and have a significant influence on other laws and forces.