Beatrice Lang
Electric force and gravitational force are two distinct forces that operate in different domains. Electric force is related to the magnitudes of the charges of interacting objects, while gravitational force is related to the masses of interacting objects. Despite the differences, both forces share some similarities, such as being inversely proportional to the square of the distance between the objects. However, the electric force is often described as being unimaginably greater than the force of gravity. This is because gravity is considered an extremely weak force. For example, the gravitational attraction between two apples is practically nothing, while the electric force between them is zero due to the equal numbers of positive and negative charges in each apple.
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What You'll Learn
Electric force is unimaginably greater than gravity
Firstly, let's consider the Law of Gravity, which states that the force of gravity is directly proportional to the mass of the objects involved and inversely proportional to the square of the distance between them. Now, if we take two apples, the gravitational force between them is practically nothing. On the other hand, if we were to charge one apple with +1 coulomb and the other with -1 coulomb, there would be an electric force between them. This simple thought experiment demonstrates that electric force can overcome the force of gravity.
The difference in strength becomes even more apparent when we look at the subatomic level. For example, let's take two spheres, each with one kilogram of mass and one coulomb of electric charge. In this case, the electric force between them is 1.35 x 10^20 times stronger than the gravitational force. If we were to separate a pair of electrons by a nuclear diameter, the disparity becomes even more pronounced, with the electric force being 2.40 x 10^43 times greater than gravity.
The reason for this vast difference in strength lies in the nature of the forces. Gravitational force is always attractive and cumulative, and it acts on objects with large masses. On the other hand, electric forces can be attractive or repulsive, depending on the charges involved. In the case of most objects, the positive and negative charges cancel each other out, resulting in a net electric force of zero. However, when charges are imbalanced, even by a small percentage, the electric force can easily overcome the gravitational pull of the entire Earth!
The dominance of electric force over gravity is so significant that it is almost a trillion-trillion-trillion-trillion-trillion times stronger. This is why, in everyday life, we don't feel the electric force, as the positive and negative charges of atoms neutralize each other, while the cumulative effect of gravity gives us weight.
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Gravitational force is always attractive and cumulative
Electric force is unimaginably greater than the force of gravity. The gravitational force is so weak that it is a wonder that humans have noticed it at all. However, it becomes a strong influence on our existence because it is always attractive and cumulative.
The gravitational force is a fundamental interaction that governs the motion of celestial bodies and objects on Earth. It is described by Newton's law of universal gravitation, which states that every particle of matter in the universe attracts every other particle with a force directly proportional to their masses and inversely proportional to the square of the distance between their centres. This force is always attractive, meaning it always pulls masses together and never pushes them apart.
The reason for this attraction lies in the nature of gravity itself. Gravity is a curvature in space-time caused by mass and energy. When an object has mass, it bends the space-time around it, creating a 'well' that other objects with mass fall into, and are thus attracted towards it. This is why the gravitational force is always attractive.
Additionally, the force of gravity is cumulative and only adds up, never repels. Every mass creates a gravitational pull that cannot be canceled or reversed. This is in contrast to magnetic forces, which can be both attractive and repulsive due to the interaction of unlike and like magnetic poles. Gravity fundamentally can only attract because it relies solely on mass without opposing forces.
In general relativity, gravity is always attractive as long as one is at rest with respect to the gravitational field. However, if one is moving with respect to the field, gravity can sometimes be considered repulsive. For example, when falling radially from a high altitude, one initially accelerates towards the central mass. But if the central mass is compact enough, like a black hole, there will be a point where one starts to decelerate and, when infinitely close to the "Schwarzschild radius", one will move infinitely slowly. Thus, the gravitational force is always attractive and cumulative, which makes it a significant influence on our existence despite its weakness compared to other forces.
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Electric force is dominant for electrons or protons
The electric force is much stronger than the gravitational force. This is true for both the comparison between two objects and for the forces acting on electrons and protons within an atom.
At the subatomic level, the electric force between electrons and protons is far greater than their mutual gravitational attraction. This is because electric force depends on the electric charge of particles, whereas gravitational force depends on the mass. Electrons and protons have equal and opposite charges, which attract each other with a force described by Coulomb's law. This electric force is dominant in the motion of electrons in atoms.
The magnitude of the charge of the proton is exactly equal to the magnitude of the charge of the electron. However, the nucleus, which consists of protons and neutrons, contributes most of the mass of the atom. Therefore, the attractive force between the electrons and the nucleus is significantly stronger than the gravitational force between these two objects.
In fact, the electric force between two electrons or two protons is the same when placed at the same distance. This is because the electric force does not depend on the mass of the particle. The gravitational force, on the other hand, is always attractive, while the electric force can be attractive, repulsive, or zero depending on the charges of the particles.
The electric force is so dominant that it cancels out the gravitational force in everyday life. Almost every negative charge (electron) in the universe is nestled up close to a positive charge (the nucleus of an atom), equalizing and neutralizing the electric force.
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Gravitational force is dominant for objects with large masses
While electric forces are stronger than gravitational forces, the latter is dominant for objects with large masses. This is because gravity is always an attractive force acting between masses, whereas electric forces can be both attractive and repulsive, depending on the charges involved (positive or negative). When objects are neutral overall, as they usually are in our daily experience, electric forces often cancel each other out, making their impact less noticeable at larger scales.
Newton's law of universal gravitation and Coulomb's law illustrate the principles governing these forces. According to Newton's law, the gravitational force between two masses is defined as Fg=Gr2m1m2, where G is the gravitational constant, and m1 and m2 are the masses of the objects. Coulomb's law, on the other hand, calculates the electric force as Fe=kr2q1q2, where k is Coulomb's constant, and q1 and q2 are the charges. This shows that while electric forces are stronger at small scales (such as between electrons), their effects diminish in larger, neutral objects.
The gravitational force is extremely weak compared to the electric force. However, it becomes a strong influence on our existence because it is always attractive and cumulative. All the atoms in the Earth pull us toward its center, giving us weight, while the electrical forces of electrons and nuclei cancel each other out, so we experience no "electrical weight" from the Earth.
The difference in strength between electric and gravitational forces is especially pronounced when considering fundamental particles. For example, the electric force between two electrons is 2.40 x 10^43 times bigger than the gravitational force between them. However, this large difference may be due to the arbitrary choices in the size of units in Standard International Units.
In summary, despite the electric force being much stronger than the gravitational force, the latter is dominant for objects with large masses because gravity is always attractive, acts on all masses, and does not diminish as quickly with distance as electric forces.
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The gravitational constant is greater than the Coulomb constant
The gravitational constant, also known as the Newtonian constant of gravitation or the Cavendish gravitational constant, is denoted by the letter G. It is a fundamental constant of nature that characterises the strength of the gravitational force between two objects. The product of the gravitational constant and the mass of a given astronomical body, such as the Sun or Earth, is known as the standard gravitational parameter, often denoted as GM.
The Coulomb constant, also known as the electric force constant, symbolised as k, is the constant of proportionality in Coulomb's law, which computes the magnitude of the electrical force between two charged particles. The Coulomb constant is dependent on the units used for charge, current, and distance.
The gravitational constant is significantly smaller than the Coulomb constant. The gravitational force is extremely weak compared to the electric force. For example, consider two spheres with one kilogram of mass and one coulomb of electric charge each. The electric force between these spheres is 1.35 x 10^20 times stronger than the gravitational force. If we compare the forces between an electron and a proton, the electromagnetic force is approximately 10^39 times greater than the gravitational force.
The weakness of gravity becomes more apparent when dealing with fundamental particles. For instance, the electric force between two electrons is 2.40 x 10^43 times bigger than the gravitational force between them. This extreme disparity in strengths is why we do not feel electric forces in everyday life. Unlike gravity, which is always attractive and cumulative, electric forces often cancel each other out due to the presence of both positive and negative charges in most objects.
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Frequently asked questions
Yes, the electric force is much greater than the gravitational force.
The gravitational force is extremely weak compared to the electric force. This is because electric force is inversely proportional to the square of the distance between charges, while gravitational force is inversely proportional to the square of the distance between masses.
The electric force between two apples is 0 because there are equal numbers of positive and negative charges in both apples, making them electrically neutral.
The gravitational force between two apples is practically nothing. The gravitational attraction between two apples can be calculated using the Law of Gravity: F = G * (m1 * m2 / r^2), where G is the gravitational constant, m1 and m2 are the masses of the apples, and r is the distance between them.
You don't feel electric force in everyday life because almost every negative charge (electron) in the universe is balanced by a positive charge (the nucleus of an atom), neutralizing the electric force. However, electric forces are important in many technologies we use daily, such as radio transmission antennas.
