From the work done against the gravity force in bringing a mass in from infinity where the potential energy is assigned the value zero, the expression for gravitational potential energy is

This expression is useful for the calculation of escape velocity, energy to remove from orbit, etc. However, for objects near the earth the acceleration of gravity g can be considered to be approximately constant and the expression for potential energy relative to the Earth's surface becomes

where h is the height above the surface and g is the surface value of the acceleration of gravity.

## FAQs

### What is gravitational potential energy answer? ›

Gravitational potential energy is **the energy possessed or acquired by an object due to a change in its position when it is present in a gravitational field**. In simple terms, it can be said that gravitational potential energy is an energy that is related to gravitational force or to gravity.

**What is gravitational potential energy quizlet? ›**

What is Gravitational Potential energy? Gravitational potential energy is **the energy stored due to an object's position above the ground**.

**How much does your gravitational potential energy change when you jump as high as you can? ›**

Since the gravitational potential energy of an object is directly proportional to its height above the zero position, **a doubling of the height will result in a doubling of the gravitational potential energy**. A tripling of the height will result in a tripling of the gravitational potential energy.

**What is an example question for gravitational potential energy? ›**

Gravitational Potential Energy : Example Question #1

**The contractor puts bricks on one side of the seesaw and jumps on the other side to fling the bricks upward.** If the contractor jumps onto the seesaw from a height of 1.5 meters, what is the maximum mass of bricks he can put on the seesaw that will reach his coworker?

**What causes gravitational potential energy? ›**

An object's gravitational potential is due to **its position relative to the surroundings within the Earth-object system**. The force applied to the object is an external force, from outside the system. When it does positive work it increases the gravitational potential energy of the system.

**What has gravitational potential energy? ›**

Gravitational potential energy is energy an object possesses because of its position in a gravitational field. The most common use of gravitational potential energy is for an object near the surface of the Earth where the gravitational acceleration can be assumed to be constant at about 9.8 m/s^{2}.

**What is gravitational energy called? ›**

Gravitational energy or **gravitational potential energy** is the potential energy a massive object has in relation to another massive object due to gravity. It is the potential energy associated with the gravitational field, which is released (converted into kinetic energy) when the objects fall towards each other.

**What is a simple definition of gravitational energy? ›**

Gravitational energy is the potential energy held by an object because of its high position compared to a lower position. In other words, it is energy associated with gravity or gravitational force. For example, a pen being held above a table has a higher gravitational potential than a pen sitting on the table.

**What does gravitational potential energy depend on ____ and ____ of the object? ›**

Gravitational potential energy depends on an object's **weight and its height above the ground** (GPE = weight x height).

**What are 3 examples of gravitational energy? ›**

Examples of Gravitational Potential Energy

A raised weight. Water that is behind a dam. A car that is parked at the top of a hill. A yoyo before it is released.

### Which answer is an example of potential energy? ›

What are some examples of potential energy? **A rock sitting on the edge of a cliff**. If the rock falls, the potential energy will be converted to kinetic energy, as the rock will be moving. A stretched elastic string in a longbow.

**Does gravitational potential energy increase when falling? ›**

**As an object falls its potential energy decreases**, while its kinetic energy increases. The decrease in potential energy is exactly equal to the increase in kinetic energy.

**Does gravitational potential energy increase as it falls? ›**

If an object falls from one point to another point inside a gravitational field, the force of gravity will do positive work on the object, and **the gravitational potential energy will decrease by the same amount**.

**Does gravitational potential energy increase with height Why? ›**

Since **the gravitational potential energy of an object is directly proportional to its height above the zero position**, a doubling of the height will result in a doubling of the gravitational potential energy. A tripling of the height will result in a tripling of the gravitational potential energy.

**How does gravitational potential energy work? ›**

If the object is lifted straight up at constant speed, then the force needed to lift it is equal to its weight mg. The work done on the mass is then **W = Fd = mgh**. We define this to be the gravitational potential energy (PE_{g})put into (or gained by) the object-Earth system.

**How do you find gravitational potential energy? ›**

The equation for gravitational potential energy is **GPE = mgh**, where m is the mass in kilograms, g is the acceleration due to gravity (9.8 on Earth), and h is the height above the ground in meters.

**What is meant by gravitational potential? ›**

Gravitational potential at a point is defined as **the work done required per unit of mass to move a body from a reference point to the given point**. V = - G M r. Here is the Gravitational potential due to gravity, is the mass of the source and is the distance between the source and unit mass.

**What causes potential energy? ›**

Potential energy **arises in systems with parts that exert forces on each other of a magnitude dependent on the configuration, or relative position, of the parts**. In the case of the Earth-ball system, the force of gravity between the two depends only on the distance separating them.

**What is the perfect example of gravitational energy? ›**

Gravitational energy is energy stored on an object depending on its position or how high it is from the ground. A perfect example of gravitational energy at work would be **letting your child play on the swing**.

**Is gravitational energy a force? ›**

**Gravity is a force**, so it just provides one way for objects to exchange and transform energy to different states. The kinetic energy that water gains when it falls (and can therefore be converted into electricity by a hydroelectric plant) comes ultimately from sunlight and not from gravity.

### What are 4 examples of gravitational energy? ›

**Gravitational energy is used in the following ways in everyday life:**

- A raised weight.
- A car that is parked at the top of a hill.
- A yoyo before it is released.
- A book on the table before it fails.
- Water flowing from the tap uses gravitational energy.
- We walk, sit and stand comfortably due to gravitational force.

**What is an example of gravitational? ›**

Some examples of the force of gravity include: **The force that holds the gases in the sun**. The force that causes a ball you throw in the air to come down again. The force that causes a car to coast downhill even when you aren't stepping on the gas.

**How do you explain gravitational potential energy to a child? ›**

If you hold a pencil up to your height, you know that pencil will fall to the ground when you let go. That pencil has the ability to be in motion because of gravity. That's called potential energy. **Potential energy is energy that is stored**.

**What is the conclusion of gravitational potential energy? ›**

The following conclusions are made from the expression of potential energy: **A body's gravitational potential energy is determined by the difference on the height between its initial and final positions**. A body's gravitational potential energy is independent of the path that follows between its initial and final places.

**What properties does gravitational potential energy depend on? ›**

Gravitational potential energy depends on several things: it depends on **the mass of the object, the gravitational acceleration of the object due to the earth as well as the displacement of the object from the ground**.

**Does gravitational potential energy depend on speed? ›**

**When the planet moves farther away, the speed and kinetic energy decrease, and the gravitational potential energy increases**.

**Does gravitational potential energy depend on mass? ›**

Gravitational potential energy **depends upon the mass and height of the body**.

**Which object has the most gravitational potential energy? ›**

Which object has the most gravitational potential energy? gravitational potential energy increases with increasing height and with increasing mass. Thus the plane, having both the highest altitude and greatest mass, will have the greatest potential energy.

**What affects potential energy? ›**

This energy is stored energy and means that it can be used at a later time to cause an object to move. Gravitational Potential Energy is determined by three factors: **mass, gravity, and height**. All three factors are directly proportional to energy.

**What is potential energy give any two examples? ›**

Potential energy is **the energy possessed by a body because of its position**. When the string of a bow is stretched, the muscular energy is stored as potential energy, which makes the arrow shoot forward. Water stored in the dam acquires potential energy.

### What is a simple definition of potential energy? ›

potential energy, **stored energy that depends upon the relative position of various parts of a system**. A spring has more potential energy when it is compressed or stretched.

**What is gravitational potential energy 6th grade? ›**

Gravitational Potential Energy is **the potential energy that an object has because of its position relative to a baseline or to the ground**. Elastic Potential Energy is the potential energy that an object has because of how tight an object is compared to its normal (relaxed) position.

**What is an example potential energy? ›**

What are some examples of potential energy? **A rock sitting on the edge of a cliff**. If the rock falls, the potential energy will be converted to kinetic energy, as the rock will be moving. A stretched elastic string in a longbow.

**What is potential energy answer in one sentence? ›**

Answer: **The stored energy that an object has as a result of its position or state** is known as potential energy.

**Which best describe potential energy? ›**

Potential energy is **the stored energy in any object or system by virtue of its position or arrangement of parts**. However, it isn't affected by the environment outside of the object or system, such as air or height. On the other hand, kinetic energy is the energy of an object or a system's particles in motion.

**What is gravitational potential energy for kids? ›**

Gravitational potential energy, or GPE, is **energy that is stored because of an object's position or height above Earth's surface**. Gravity is the force of attraction that pulls objects together and causes things to fall to Earth.

**What is the definition of gravitational energy and examples? ›**

Gravitational energy is **the potential energy held by an object because of its high position compared to a lower position**. In other words, it is energy associated with gravity or gravitational force. For example, a pen being held above a table has a higher gravitational potential than a pen sitting on the table.

**What is gravitational potential energy and write its formula? ›**

The gravitational potential energy formula is equal to the mass times the force of gravity where g is a constant valued 9.8 m/s^{2} times the height of the object. **Potential energy = mass × gravity × height**. E_{grav} = PE = mgh.

**How do you calculate potential energy examples? ›**

Potential Energy Practice Question:

Here, the mass of the object (m) = 1 kg, Displacement (height) (h) = 10 m, Acceleration due to gravity (g) = 9.8 m s^{–}^{2}. Hence, **Potential energy (P) = m×g×h** = 1 kg × 9.8 m s^{–}^{2} × 10 m = 98 J.

**What factors affect potential energy? ›**

**Potential energy is determined by the following three factors:**

- Mass of the body, m.
- Acceleration due to gravity, g.
- Height of the body, h.