How to Find the Force of Gravity in Physics
 

Gravity Equation |Calculating Gravity |Newton’s Second Law of Gravity Formula |Example Problems |FAQs |Calculator & Practice Problems with Answers |Video |Q&A
Gravityiables are not already in metric units, convert them before solving the equation.
Stuck on how to convert your measurements? Try using a conversion calculator online.
Step 3 Determine the mass of the object in question.
3
Determine the mass of the object in question.
If you’re not given the masses of thvity between two objects, use the equation Fgrav = (Gm1m2)/d2.[1] This equation takes into account the masses of both objects and how far apart the objects are from each other. The variables are defined below:[2]
Fgrav is the force due ty other object with a force proportional to the product of their masses and inversely proportional to the square of the distance between them. That equation, simple as it appears, was powerful enough to predict planetary orbits, tides, and even the paths of comets.

What made Newton’s theory so compelling was its universality. Gravity wasn’t just something that happened on Earth—it extended into the heavens. For the first time, the same law explained both the fall of an apple and the orbit of the Moon.

But even Newton was puzzled by what he had discovered. He famously wrote that it was “inconceivable that inanimate Matter should, without the Mediation of something else, which is not material, operate upon, and affect other matter without mutual Contact.” In other words, he had no idea how gravity worked—just that it did.

Einstein’s Spacetime: A Radical Reimagining
More than two centuries lato gravity, measured in Newtons (N)
G is the universal gravitation constant 6.673 x 10 Nm/kg
m1 is the mass os of the two objects together. 68 x (5.98 x 10) = 4.06 x 10
Multiply the product of m1 and
d 'or r is the distance between the centers of two objects
Step 2 Use metric units for each variable in the equation.
2
Use metric units for each variable in the equation.
For this particuwith approximate distances from the center of the Earth to objects at various elevations on the surface—just do a quick online search if the information isn’t provided.
Step 5 Plug your variables into the equation to solve.
5
Plug your variables into the equation to solve.
Once you have defined the variables of your equation, you can work on solving the equation. Use the proper order of operations, and be sure that all of your units are in metric units.[6] Here’s an example problem:
The problem: Determine theger force. This law can be summed up with the equation F = ma, where F is the force, m is the mass of the object, and a is the acceleration.[10]
Using this law, we can calculate the gravitational force of any object on the Earth's surface, given the known acceleration due to gravity.
Example Problems
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How much force does it take to hold an apple with a mass of 0.1 kg on Earth?

F = mg
F = 0.1 x 9.8
F = 0.98 N[11]
A man hits a gold ball (0.2 kg), which accelerates at a rate of 20 m/s². What amount of force acted on the ball?

F = ma
F = 0.2 x 20
F = 4 N
FAQs
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Is 9.8 the force of gravity?
Yes, the exact value of g, or the force of gravity, is 9.80665 m/s², which is usually rounded to 9.8 m/s². This is the average value of the gravitational force on Earth.[12] This number is typically used in most physics problems as the value of g, unless otherwise stated.
What is Newton’s Law of Gravity?
Sir Isaac Newton’s Law of Gravity (also known as the Law of Universal Gravitation) states that every particle attracts every other particle in the universe, creating a proportionaidea of universal laws. His law of universal gravitation stated that every object in the universe attracts everer, a German-born physicist named Albert Einstein offered an answer to Newton’s long-standing question. In 1915, Einstein porce of gra to the proper units: m = 68 kg, g = 9.8 m/s.
Write the equation: Fgrav = mg = 68*9.8 = 666 N.l force.  can still use the equation Fgrav = (GMearthm)/d.
Be sure your variables are in metric units (kilograms and meters) before trying to solve.
Step 7 Solve the equation Fgrav = mg to determine the gravitational force on Earth.
7
Solve the equation Fgrav = mg to determine the gravitational force on Earth.
Once you have defined the variables of your equation, you can plug them in and solve. Be sure that all of your units are in metric, and you’re using thf the first object
m2 is the mass of the second object
d is the distance between the centers of two objects
Sometimes you will see the letter r used instead of the letter d. Both symbols represent the distance between the two objects.
Calculating the Force of Gravity Between Two Objects
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Step 1 Determine the variables of the equation.
1
Determine the variables of the equation.
Depending on the problem, you may be given all but one or two variables. Plug the given variables into your equation and notice what you’re attempting to solve or find. Here’s a refresher of the gravitational force equation and its variables:[3]
Equation: Fgrav = (Gm1m2)/d2
Fgrav is the force due to gublished his General Theory of Relativity, a groundbreaking theory that upended everything we thought we knew about gravity.

According to Einstein, gravity isn’t a force at all. Instead, it’s a geometric property of spacetime. Massive objects like the Sun don’t emit a gravitational force that pulls planets inward. Rather, they warp the fabric of space and time around them, and the planets move along the curves of that warped fabric.

To visualize this, imaginunningly beautiful. It doesn’t just apply to planets and stars but to everything—including light. That’s why black holes, with their extreme curvature, can trap even photons. It’s also why GPS satellites must account for both special and general relativistic effects to prov (Gm1m2)/d2 = [(6.67 x 10) x 68 x (5.98 x 10)]/(6.38 x 10)
Multiply the massee proper order oft also has many important biological functions, helping to guide the growth of plants through the process of gravitropism and influencing the circulation of fluids in multicellular organisms.onal force that attracts other objects to them. The force of gravity acting on any object is dependent upon the masses of both objects and the distance between them. So, how do you determine the gravitational force of an object? Keep reading to learn how to solve problems with the Fgrav = (Gm1m2)/d2 equation.

What is the formula for force of gravity?
The formula for gravity is Fgrav = (Gm1m2)/d2, where G is the gravitational constant, m1 and m2 are the masses of the objects, and d is the distance between the objects.

What is the equation for gravity?
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The equation to find the source of gravity is Fgrav = (Gm1m2)/d2.
The equation to find the source off gravity), in m/(s squared), so g is Fg / m = 123 N / 25 kg ~= 4.92 m/(s squared).
Not Helpful 37Helpful 5er explains, on Earth, the force of gravity causes objects to accelerate at a rate of 9.8 m/s.[7] If you’re calculating the gravitatiAsk anyone what gravity is, and they’ll likely bring up the image of an apple falling on Isaac Newton’s head. It’s a story that’s become almost mythological, a symbol of how a simple observation can spark a revolution in thought. But as quaint and inspiring as that tale may be, it barely scratches the surface of what gravity really is.

In Newton’s time, gravity was a mysterious force that pulled objects toward one another. The Earth pulled the apple down. The Moon was held in its orbit by Earth’s pull. Everything ncipia Mathematica in 1687, he didn’t just provide a new framework for understanding gravity—he revolutionized the very 
The answer: With F = mg, the force of gravity is 666 N, while using the more exact equation yields a force of 665 N. As you can see, these values are almost identical.
What is the formula for Newton’s Second Law of Gravity?
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The formula for the Second Law of gravity is F = ma.
The formula for the Second Law of gr4
Question
How do I find the value of acceleration due to a gravity at a height of 2R from the surface of the earth?
Community Answer
Community Answer1022 kg (the mass of the Moon)
d = 3.84 x 108 m (the distance between the Earth and the Moon)
Plug the variables into the equation.
F = 1.988 x 1020 N
Calculator & Practice Problems with Answers
Sample Calculating Force of Gravity Calculator
Sample Calculating Force of  the two objects. (6.38 x 10) = 4.07 x 10
Divide the product of G x m1 x m2 by the distance squared to find the force of gravity in Newtons (N). 2.708 x 10/4.07 x 10 = 665 N
The answer: The force of gravity is 665 N.
EXPERT TIP
Sean Alexander, MSSean Alexander, MS
Academic Tutor
If you come across a harder problem, take your time. Physics can be difficult to understand. If you’re having a hard time figuring out the concept or problem, take a deep breath. Try to approach the problem from a different angle, or take a break and come back to it later.

Step 6 Use the equation Fgrav = mg to calculate an estimated force of gravity.
6
Use the equation Fgrav = mg to calculate an estimated force of gravity.
As academic tutor Sean Alexandavity is F = ma.
Newton’s Second Law of Motion states that any object will accelerate when acted upon by a net or unbalanced force. In other words, if a force is acting upon an object that’s greater than the forces acting in the opposite direction, the object will accelerate in the direction of the largraviide accurate positioning. Without correcting for the warping of time and space around Earth, your phone’s map would quickly lead you astray.

Black Holes: The Extremes of Gravityonal force of an object on Earth, you can simplify the lengthy Fgrav = (GMearthm)/d to Fgrav = mg.[8]
If you want a more exact approximation of force, youav = (Gm1m2)/d2.
When determining the fravity, measured in Newtons (N)
G is the universal  force of gravity on a 68 kg person on the surface of the Earth. The mass of the Earth is 5.98 x 10 kg.
Make sure all your variables have the proper units. m1 = 5.98 x 10 kg, m2 = 68 kg, G = 6.673 x 10 Nm/kg, and d = 6.38 x 10 m
Write your equation: Fgrav =tation constant 6.673 x 10 Nm/kg
m1 is the mass of the first object
m2 is the mass of or the large-scale structures in the universe. Gravity has an infinite range, although its effects become weaker as objects get farther away.

Gravity is described by the general theory of relativity, proposed by Albert Einstein in 1915, which describes gravity in terms of the curvature of spacetime, causede between the Earth and the Moon?
The gravitational force between the Earth and the Moon is 1.988 x 1020 N. How did we come to this conclusion? Check out the work below:[16]
Equation: Fgrav = (Gm1m2)/d
G = 6.673 x 10 Nm/kg
m1 = 5.98 x 1024 kg (the mass of the Earth)
m2 = 7.35 x rom the center of the Earth.[5]
The distance from the surface of the Earth to the center is approximately 6.38 x 10 m.
You can find resources online 
The problem: Determine the force of gravity on a 68 kg person on the surface of the earth.
Convert the variablese objects for the equation within a problem, you may need to find them yourself. For smaller objects, you can weigh them on a scale or balance to determine their weight in grams. For larger objects, you may have to look up the approximate mass online. But, most likely, the mass of the objects will be provided to you.[4]
Step 4 Measure the distance between the two objects.
4
Measure the distance between the two objects.
For some problems, you may be asked to do some extra math to reveal the distance between the two objects. The most common example of this is a properations to solve.[9] Let’s use the same equation from above and see how close the approximation is:lar equation, you must use metric units. The masses of objects need to be in kilograms (kg), and the distances need to be in meters (m). If your vare constant force of gravity is represented by the vaalculating the force of gravity between an object and Earth. In this example, you would need to determine how far away the object is f
If you want to knoe placing a bowling ball on a trampoline. The ball creates a depression in the trampoline’s surface. Now roll a smaller ball nearby—it spirals inward, not because the bowling ball exerts a force, but because the surface it’s rolling on is curved.

Einstein’s equations were not just conceptually elegant—they were also incredibly precise. They predicted phenomena that Newtonian mechanics couldn’t, lik
What is the constant force of gravity?
In the gravity equation, th is one of the fundamental forces of physics. The most important aspect of gravity is that it is universal: all objects have a gravitatiIn physics, gravity (from Latin gravitas 'weight'[1]), also known as gravitation or a gravitational interaction,[2] is a fundamental interaction, which may be described as the force that draws material objects towards each other.

The gravitational attraction between clouds of primordial hydrogen and clumps of dark matter in the early universe caused the hydrogen gas to coalesce, eventually condein the cosmos seemed tethered together by this invisible string. It was a marvelously useful concept, precise enough to predict planetary motion and the trajectories of cannonballs. But it wasn’t the whole story.

Then came Albert Einstein, who shattered the classical mold with his General Theory of Relativity, proposing that gravity wasn’t a force at all—it was the warping of space and time itself. And that, as it turns out, was just the beginning. Today, physicists are exploring ideas that stretch the imagination: gravity as an emergent property, quantum gravity, entropic gravity, and even gravity that may leak into other dimensions.

So, what is gravity, really? Let’s take a journey through the winding and wondrous road of physics—from Newton’s apple to Einstein’s spacetime to the frontiers of modern science—to uncover how gravity truly works.

Newtonian Gravity: The First Universal Law
When Newton published his Philosophiæ Naturalis Prinsing and fusing to form stars. At larger scales this resulted in galaxies and clusters, so gravity is a primary driver fanisms that are responsible for surface water waves, lunar tides and substantially contributes to weather patterns. Gravitational weigh by the uneven distribution of mass. The most extreme example of this curvature of spacetime is a black hole, from which nothing—not even light—can escape once past the black hole's event horizon.[3] However, for most applications, gravity is sufficiently well approximated by Newton's law of universal gravitation, which describes gravity as an attractive force between any two bodies that is proportional to the product of their masses and inversely proportional to the square of the distance between them.

Scientists are looking for a theory that describes gravity in the framework of quantum mechanics (quantum gravity),[4] which would unify gravity and the other known fundamental interactions of physics in a single mathematical framework (a theory of everything).[5]

On the surface of a planetary body such as on Earth, the force of gravity operates towards the center of the body and is modified by the centrifugal effects arising from the rotation of the body.[6] In this context, gravity gives weight to physical objects and is essential to understanding the mechthe second objectGravity Practice Problems
Sample Calculating Force of Gravity Practice Answers
Community Q&A
Question
How do I find the mass of the moon?
Community Answer
Community Answere the precession of Mercury’s orbit and the bending of starlight by gravity, confirmed during a 1919 solar eclipse. It was a moment that launched Einstein into global fame and confirmed that gravity was more than just an invisible string—it was the very architecture of the cosmos.

The Geometry of the Universe: Curved Space and Geodesics
In Einstein’s universe, spacetime is not flat but curved. The amount of curvature depends on the amount of mass and energy present. Objects move along paths called geodesics—the closest equivalent to straight lines in curved space. What we perceive as gravity is simply an object following the curvature of spacetime.

For example, Earth orbits the Sun not because the Sun pulls on Earth with an invisible hand, but because Earth is following a geodesic in the curved spacetime created by the Sun’s mass. Remove the Sun, and spacetime flattens; the Earth would then travel in a straight line instead of an orbit.

This geometric picture of gravity isriable G or g—the universal gravitational constant.[14] On Earth, the gravitat gravity is FgrIn other words, gravity is the reason objects fall or stay in place.[13]
Fun facts: Heavier objects have a stronger force of gravity between them, and objects that are close to each other have more gravity between them.
Check out same steps as mentioned below. But remember gravity on moon is 1/6th of gravity on earth.
Not Helpful 21Helpful 47
Question
A mass of 25 kg weighs 123 Newtons on another planet. What is the gravity on the planet?
Community Answer
Community Answer
The "gravity" on the surface of a planet is it's acceleration (the rate of increase in speed as an object falls). Fg (the force of gravity) is m x g (acceleration oional constant is 9.8 m/s².[15]
What is the gravitational forcoblem c stw what the gravity would be when you are 3 earth-radii away from the center of earth, then the gravity would be 1/9th normal gravity. You're multiplying by 3 on the bottom, so 1/3, but then it's squared. Acceleration would then be 1.09 meters per second squared.