Where: \(F\) is the magnitude of the force.
\(G\) is the universal gravitational constant.
\(m_{1}\) and \(m_{2}\) are the masses of the two objects.
\(r\) is the distance between the centers of the masses.
The force is always directed along the line connecting the centers of the two masses, pulling them toward each other.
In vector form, the force \(\vec{F}_{12}\) exerted on mass \(m_{2}\) by mass \(m_{1}\) is: \(\vec{F}_{12}=-G\frac{m_{1}m_{2}}{r^{2}}\^{r}\)Where \(\^{r}\) is a unit vector pointing from \(m_{1}\) to \(m_{2}\).
The minus sign indicates the attractive nature of the force (it points opposite to the direction of \(\^{r}\), back towards \(m_{1}\)).
Mathematical "Opposite" (Repulsion)
To represent a repulsive force using the same mathematical form, you would need to change the sign of the force, which would imply the existence of negative mass or an equivalent repulsive "charge".
The mathematical form for such a hypothetical repulsive force (often termed "anti-gravity" in a theoretical context) would be: \(F_{\text{repulsive}}=+G\frac{m_{1}m_{2}}{r^{2}}\quad \text{or}\quad \vec{F}_{\text{repulsive},12}=+G\frac{m_{1}m_{2}}{r^{2}}\^{r}\)In this case, the plus sign means the force is in the same direction as the unit vector \(\^{r}\) (pointing away from \(m_{1}\), thus repelling \(m_{2}\)).
However, negative mass is a hypothetical concept and has not been observed in nature. Forces that Provide Resistance in Specific Contexts In practical mechanics, other actual forces can counteract the effects of gravity, which you might interpret as "resistance". Normal Force: This is the force exerted by a surface that prevents an object from falling through it. When an object of mass \(m\) rests on a flat, horizontal surface, the normal force (\(\vec{N}\)) is equal in magnitude and opposite in direction to its weight (\(\vec{W}\) or \(m\vec{g}\)), so \(\vec{N}+\vec{W}=0\). The magnitude is \(N=mg\).Air Resistance/Drag: When an object falls through the atmosphere, the air exerts a drag force (\(\vec{F}_{D}\)) in the direction opposite to the object's velocity, which resists the downward pull of gravity. This force is generally dependent on velocity, density of the fluid, and the object's shape, and can be represented mathematically as:\(\vec{F}_{D}=-\frac{1}{2}\rho v^{2}C_{D}A\^{v}\)Where \(\rho \) is the fluid density, \(v\) is the speed, \(C_{D}\) is the drag coefficient, \(A\) is the cross-sectional area, and \(\^{v}\) is the unit vector in the direction of velocity.
Buoyancy: An upward force exerted by a fluid that opposes gravity, as described by Archimedes' principle. Its magnitude is equal to the weight of the fluid displaced by the object. Cosmological "Opposite" In modern cosmology, a phenomenon that acts as a kind of "anti-gravity" on a vast scale is dark energy, which is theorized to be responsible for the accelerating expansion of the universe. It is a property of space itself that creates a repulsive effect, but its mathematical description is within Einstein's General Relativity (often represented by the cosmological constant, \(\Lambda \)) and not a direct modification of Newton's force law.
Anti-gravity is the concept of a force that would exactly oppose the force of gravity. Under the known laws of physics, anti-gravi..
Is there any force on Earth that runs opposite to gravitational force? — I would love to say something cool like anti-gravity, something to do with wormholes, or something inherent to a theory ..
From my opinion white hole can be a.
Is there an opposite force to gravity?
— * A big problem with us finding a force that could cancel gravity out, is gravity the only force that works in ...QuoraWhat opposite and equal force does gravity have acting on it?
Force fields are formed during the interaction of masses, static charge or moving charges. Different types of fields are formed .
Why is the normal force not aligned opposite to the force of gravity? According to Newton's 3rd law, to every action, Repulsive gravity model for dark energy
In the Newtonian limit, this theory generates attractive gravitational forces within each matter sector, and repulsive force might matter.
Antigravity propulsion; a real possibility.
The fact that this has not been observed tells us how dumb scientists can be and if antiparticles do have a negative gravitational potential it cannot avoided.
4 Forces between masses
Every point mass attracts every other point mass by a force directed along the line.Newton's Universal Law of Gravitation F is the magnitude of the gravitational force and G is a proportionality fact.
The magnitude of the attractive force F is equal to G (the gravitational constant, which is a universal constant for each {\displaystyle G} is the gravitational constant m 1 {\displaystyle m_{1}} {\displaystyle m_{1}} and m 2
According to Newton's model, all masses exert a gravitational force on all other masses. At any point the strength of the gravitat...assets.ctfassets.netLecture 1: Electric Forces, Electric Charges, and Coulomb’s Lawm1 and m2 are the masses of the two objects • r is the distance separating the two object's centers of mass. This force is attraction.
The masses produce forces, which are the vectors to be studied. The force along each cord is equal to the gravitational .Mass and Weight Weight is the force exerted on a mass due to gravity. It is a vector, measured in newtons (N).Filo4.2: Common Forces - The Gravitational Force where \(\vec{F}_{12}\) is the force on object 1 exerted by object 2 and \(\hat{r}_{12}\) is a unit vector that points is the unit vector directed outward from the center of the Earth. is the unit vector pointed in the direction away from the cent.Cram Guide for Electric Charge and Electric Force.
The force acts along the line joining the charges: attractive if q1 and q2 have opposite signs, repulsive if they have...Fiveable6.07: Free Fall and Equilibrium Flashcards - Air resistance is a force acting against gravity when an object falls. The direction of air friction is opposite to velocity. If a...QuizletChapter 4 Forces IA solid surface will exert forces on a mass which is in contact with it. In general the force from the surface will have a perpendicular force
Concept of Normal Force - BYJU'SFor example, when we place a book on a table, the typical reaction force resists the book from falling through the table.
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