What is Potential Energy? Types & Formula

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Potential energy plays a major role in physics, machines, nature, and everyday life.

This blog will give you a full understanding of what potential energy is, how it works, and why it is important.

You will learn formulas, derivations, types, characteristics, and examples in simple words.

Let’s begin with the basics.

What Is Potential Energy?

Potential energy is the stored energy an object has because of its position, shape, or condition.

It does not depend on motion. Instead, it depends on where the object is or how it is shaped.

examples

  • A book on a high shelf
  • A stretched rubber band
  • Water stored in a dam
  • A charged battery
  • A compressed spring

When released, potential energy becomes kinetic energy or other forms.

Text on a colorful background explaining potential energy, with examples and a note about its dependence on position, shape, or condition.

Potential Energy Formula and Equations

The most common formula for potential energy is gravitational potential energy:

PE = mgh

Where:

  • PE = Potential energy (in joules)
  • m = mass in kilograms
  • g = acceleration due to gravity (9.8 m/s²)
  • h = height above ground

Example

A 4 kg box placed 3 m above ground:

PE = 4 × 9.8 × 3 = 117.6J

The box has 117.6 joules of potential energy.

Deriving the Potential Energy Formula

Potential energy is linked to the work done against gravity.

Step 1: Work formula

Work = Force × Distance

Step 2: Force against gravity

F = mg

Step 3: Multiply by height

Work = mg × h

This work becomes stored energy:

PE = mgh

Thus, potential energy represents the energy stored due to position.

Infographic illustrating the steps to derive the potential energy formula: Work = Force x Distance, Force = mg, resulting in PE = mgh.

Types of Potential Energy

Potential energy appears in different forms depending on the situation. Here are the main types explained in simple terms.

Gravitational Potential Energy

This energy is stored when an object is lifted to a height.

Key idea

Higher position = more gravitational potential energy.

Formula

PE = mgh

Examples

  • A rock on a hill
  • A child on a slide platform
  • Water ready to fall in waterfalls
  • Airplane at a high altitude
  • A fruit on a tree branch

Illustration explaining gravitational potential energy, featuring examples and the formula PE = mgh on a colorful background.

Elastic Potential Energy

Elastic potential energy is stored when an object is stretched or compressed.

Examples

  • A stretched bow
  • A compressed spring
  • A stretched rubber band
  • A trampoline mat pushed down
  • A spring in a toy car

Formula

PE = 1/2(kx2)

Where:

  • k = spring constant
  • x = extension or compression

Explains elastic potential energy with a definition, examples, and the formula: PE = 1/2(kx²).

Chemical Potential Energy

This is energy stored inside chemical bonds. It is released during chemical reactions.

Examples

  • Fuels such as petrol and diesel
  • Food energy in our body
  • Batteries
  • Fireworks
  • Wood and coal

Chemical energy becomes heat, light, or kinetic energy during reactions.

Informative graphic about chemical potential energy, including examples and a note on its transformation during reactions.

Electrical Potential Energy

Electrical potential energy is stored when electric charges are separated.

Examples

  • A charged capacitor
  • Lightning clouds
  • Electric fields around charges
  • Energy stored in batteries
  • Static electricity shocks

Formula

PE = qV

Where:

  • q = charge
  • V = electric potential

Infographic on electrical potential energy, outlining its definition, examples, and the formula PE = qV. Bright orange header.

Characteristics of Potential Energy

Potential energy has important characteristics that make it useful in physics.

Stored Energy

Potential energy stays stored until released.

Example

A book placed on a shelf stores energy until it falls.

Depends on Position or Shape

Different heights or shapes store different amounts of potential energy.

Example

A stretched bow stores more energy than a slightly stretched one.

Converts Into Other Energies

Potential energy easily converts to kinetic, heat, sound, or electrical energy.

Examples

  • Waterfall: potential → kinetic → electrical
  • Pendulum: potential ↔ kinetic
  • Battery: chemical → electrical

Increases With Height

More height means more gravitational potential energy.

Example

A rock at 10 m has more potential energy than the same rock at 2 m.

Can Be Zero

An object at ground level can have zero potential energy depending on reference level.

Can Exist Without Motion

This is what makes potential energy different from kinetic energy.

Depends on Mass

Heavier objects have more potential energy at the same height.

Real-Life Uses of Potential Energy

Potential energy plays a role in many useful processes:

Daily life

  • Lifting objects
  • Clocks using springs
  • Archery
  • Roller coasters

Nature

  • Water cycle
  • Fruit falling
  • Snow avalanches

Engineering

  • Dams generating electricity
  • Springs in machines
  • Batteries in devices

Biology

  • Food energy used by the body

Potential energy is everywhere around us.

Potential Energy vs Kinetic Energy

Potential EnergyKinetic Energy
Stored energyEnergy of motion
Depends on position or shapeDepends on mass and speed
No movement requiredRequires movement
Example: stretched springExample: moving car

Understanding both helps explain how energy moves and changes.

Conclusion

Potential energy is one of the most important ideas in physics. It explains how energy can be stored and later released to produce motion, heat, electricity, and many other forms of energy.

From the height of a rock to the stretch of a bow, to the charge in a battery, potential energy helps us understand how nature and machines work.

Knowing what potential energy is, how to calculate it, and how it changes makes learning physics easier and more useful in daily life.

Read More What Is Kinetic Energy? Formula & Derivation

FAQs

What is potential energy?

It is stored energy based on position, height, shape, or condition.

What unit is used?

Joules (J).

What two factors affect gravitational potential energy?

Mass and height.

What is the formula for potential energy?

PE = mgh.

Do all objects have potential energy?

Yes, if they have position, shape, or chemical structure.

Is chemical energy potential energy?

Yes. It is stored in chemical bonds.

What energy does a stretched rubber band store?

Elastic potential energy.

What happens when potential energy is released?

It converts into kinetic or other energy.

Does gravity affect potential energy?

Yes. More gravity means more potential energy.

Is potential energy always positive?

It depends on the reference point, but usually yes.

What is the difference between elastic and gravitational potential energy?

Elastic depends on shape; gravitational depends on height.

What is the potential energy of an object at ground level?

It can be zero if the ground level is reference point.

Is battery energy potential energy?

Yes, electrical potential energy.

Does stretching increase potential energy?

Yes. More stretch = more stored energy.

Can potential energy turn into heat?

Yes, during friction.

Does a book on a shelf have energy?

Yes, gravitational potential energy.

Why does a higher object have more potential energy?

It has more ability to do work when falling.

Can potential energy exist at rest?

Yes. No motion is required.

What is the potential energy of flowing water?

Before flowing, water in a dam stores potential energy.

Do springs store potential energy?

Yes, elastic potential energy.

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