# How Does Gravity Not Run Out Of Energy?

Gravity is one of the fundamental forces of physics that affects all matter in the universe. It is responsible for keeping planets, stars, and other celestial bodies in orbit and holding galaxies together. The law of conservation of energy is another foundational concept in physics which states that energy can neither be created nor destroyed, only transformed from one form to another. This brings up an interesting question – how can gravity continue pulling on objects indefinitely without losing energy or violating the law of conservation of energy?

## What is Gravity?

Gravity is a force of attraction that exists between any two masses, any two bodies, any two particles. Gravity is not just the attraction between objects and the Earth. It is an attraction that exists between all objects, everywhere in the universe.

According to Wikipedia, gravity is a fundamental interaction that causes mutual attraction between all things with mass. Gravity is responsible for keeping planets, stars and other celestial bodies in orbit. It is the force that gives weight to objects with mass on Earth and causes them to fall towards the ground when dropped.

Gravity is one of the four fundamental forces in nature, along with electromagnetism, and the nuclear strong and weak forces. Unlike electromagnetism, the gravitational force cannot be shielded or neutralized. It acts at all distances and propagation speeds and dominates at low energies.

The gravitational force between two objects depends on their masses and the distance between them. The larger the masses of the objects, the stronger the gravitational attraction. Also, the closer two objects are to each other, the greater the gravitational force between them.

## Gravity is a Conservative Force

In physics, forces can be classified as either conservative or non-conservative. Conservative forces are ones where the net work done on an object moving between two points is independent of the path taken. Non-conservative forces are ones where the net work depends on the path.

Gravity is a classic example of a conservative force. When an object moves under the influence of gravity alone between any two points, the net work done by gravity is the same regardless of the path. This is because gravitational force is dependent only on the masses involved and the distance between them (as described by Newton’s law of universal gravitation). The work done by gravity when moving an object between two points is simply the difference in gravitational potential energy at those two points.

In contrast, forces like friction and air resistance are non-conservative. The amount of work done against these forces depends on factors other than just the start and end points. Friction and drag forces will do more work if an object takes a longer path between two points.

So in summary, gravity is classified as a conservative force because the net work it does on an object moving between two points is path-independent. Non-conservative forces like friction depend on the specifics of the path taken.

Sources:

https://en.wikipedia.org/wiki/Conservative_force

https://www.britannica.com/science/conservative-force

## Potential Energy

Potential energy is the stored energy an object has due to its position or state. Gravitational potential energy specifically refers to the potential energy an object has due to its height above some reference point, usually the ground or surface of the Earth.[1] Gravitational potential energy depends on the mass of the object, the gravitational acceleration, and the height of the object. The higher the object is above the reference point, the greater its gravitational potential energy.[2]

In the context of gravity, potential energy arises from the gravitational force exerted on an object by another massive object like the Earth. The gravity of the Earth pulls objects towards it, giving objects potential energy that can be converted to kinetic energy as gravity accelerates the object downwards. Heavier objects and objects at greater heights above the Earth’s surface have greater gravitational potential energy.[3] This potential energy can be calculated based on the object’s mass, height, and the strength of gravity.

## Kinetic Energy

Kinetic energy is the energy an object possesses due to its motion. The kinetic energy of an object depends on its mass and velocity. The formula for kinetic energy is:

KE = 1/2 x m x v2

Where m is mass and v is velocity. When an object falls toward the ground due to gravity, it accelerates and gains kinetic energy. As the object falls, its gravitational potential energy is converted into kinetic energy. For example, when a ball is held at a height above the ground, it has gravitational potential energy. When released, as the ball falls, this potential energy is converted into kinetic energy due to the increasing velocity of the ball. The kinetic energy continues increasing until the ball hits the ground.

According to the law of conservation of energy, the total mechanical energy, which is the sum of potential and kinetic energy, remains constant. As the potential energy decreases, the kinetic energy increases by the same amount.

## Law of Conservation of Energy

The law of conservation of energy states that energy cannot be created or destroyed, it can only be transformed from one form to another. This means the total energy in an isolated system always remains constant (1). For example, when a ball falls, its potential energy gets transformed into kinetic energy, but the total amount of energy remains the same.

According to the law of conservation of energy, energy can change forms but cannot be created out of nothing or destroyed into nothing (2). When energy transforms from one type to another, such as potential energy transforming into kinetic energy, the amount of energy stays the same. This is why gravity and other forces can continue acting indefinitely without “running out” of energy.

Some examples of energy transforming between different states are:

• Chemical energy in food transforming into kinetic energy as an animal moves
• Radiant energy from the sun transforming into chemical energy in plants through photosynthesis
• Electrical energy in a battery transforming into light and heat energy in a lightbulb

The total amount of energy before and after these transformations takes place stays constant. This is why gravity, magnetism, and other forces can act continuously without losing any energy (3). They are transforming energy from one form to another, rather than creating or destroying energy.

## Gravity and Conservation of Energy

According to the law of conservation of energy, energy can neither be created nor destroyed, only converted from one form to another. Gravity abides by this fundamental law of physics. The gravitational force between two masses is a conservative force, which means that the work done by gravity on an object depends only on the starting and ending points, not the path taken.

Gravity exchanges two forms of mechanical energy – potential energy and kinetic energy. Gravitational potential energy exists between two masses based on their separation distance. As the distance between the masses changes, the gravitational potential energy is converted to kinetic energy, causing the masses to move. But the total mechanical energy remains constant, abiding by the conservation of energy law.

For example, when an object falls towards the Earth due to gravity, it loses gravitational potential energy but gains kinetic energy. The total mechanical energy before and after the fall is the same. When the object hits the ground, kinetic energy is converted to other forms like heat and sound, but overall energy is still conserved.

Gravity is able to continue pulling masses forever without losing its own energy because it converts between potential and kinetic energy. According to the law of conservation of energy, energy cannot be created or destroyed, only converted between different forms. This allows gravity to act indefinitely without “running out” of energy.

## Real World Examples of Gravity and Energy Conservation

Gravity and the conservation of energy can be seen in many real-world examples, especially related to astronomy and physics. Here are a few examples:

Orbital Motion: Planets like Earth orbiting the Sun demonstrate conservation of energy. The planets have potential energy from gravity, which is converted to kinetic energy as they move. As they get closer to the Sun, potential energy decreases but kinetic energy increases. The total mechanical energy remains constant.

Falling Objects: When an object falls towards Earth due to gravity, it accelerates and gains kinetic energy. The gravitational potential energy is converted to kinetic energy, while the total mechanical energy remains the same. This explains why objects speed up as they fall.

Rockets and Spacecraft: Rockets and spacecraft use energy conservation to break free of Earth’s gravity and enter stable orbits. Chemical potential energy in the fuel is converted to kinetic energy to launch the rocket. Gravity slows it down until it reaches orbital velocity, converting kinetic back to potential energy.

Tides: The Moon’s gravity causes the tides on Earth. As the Moon orbits, its changing position converts potential energy into kinetic energy in the oceans, creating the rise and fall of tides around the world.

## Common Misconceptions

One of the most common misconceptions when it comes to gravity and energy is the idea that gravity requires or expends energy to exist or operate. Many incorrectly believe that gravity draws its energy from an external source or gradually uses up a finite supply of energy over time.[1] [2]

In reality, gravity requires no energy input to sustain itself. Gravity is a conservative force that arises from the intrinsic curvature of spacetime according to Einstein’s theory of general relativity. The gravitational attraction between masses is a fundamental property of matter that does not need any energy to exist or act.[3]

While energy is required to move an object against the force of gravity, such as lifting it upwards, the gravitational force itself does not expend any energy. Gravity arises naturally from the bending of spacetime around masses, rather than acting as an active force requiring energy. Einstein showed that gravitational effects propagate at the speed of light, without any apparent mechanism or expenditure of energy.

Gravity is often confused with other forces that do require energy, like electromagnetism. However, gravity is completely different, deriving from the geometry of spacetime itself. Gravity will continue exerting its pull on masses indefinitely, without requiring any external energy input. There is no risk of gravity ever “running out” of energy over time.

## Conclusion

In summary, gravity is a conservative force that does not dissipate or run out of energy. Gravitational potential energy can convert into kinetic energy and vice versa, but the total mechanical energy remains constant according to the law of conservation of energy. While gravity may seem mysterious, it does not defy the fundamental laws of physics. Gravity has infinite reach and does not decay over time or distance. The gravitational pull between two objects continues endlessly, allowing celestial bodies to orbit for billions of years. Though counterintuitive, gravity has an unlimited and endless supply of energy to keep planets in motion around stars, without ever running out.