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physicswhat is potential energygravitational potential energyelastic potential energyAugust 14, 20265 min read

What Is Potential Energy? Stored Energy Explained Simply

By the BrainSnail editorial team. How these articles are written and checked, and how to tell us when one is wrong.

Potential energy is energy associated with the position or arrangement of objects within a system. A raised book, a stretched spring, and separated electric charges can all involve potential energy because changing their arrangement can release energy into other forms.

Stored energy, in simple terms

Potential energy is often described as stored energy, which is useful as a first picture, but the word stored can hide an important detail. Potential energy belongs to a system of interacting objects rather than sitting inside one object by itself. For gravitational potential energy, for example, the system includes the object and Earth.

If you lift a book from the floor to a shelf, you do work against gravity. Energy is transferred into the Earth-book system, increasing its gravitational potential energy. If the book later falls, that potential energy decreases while kinetic energy increases. The energy has not appeared from nowhere. It has changed form within the system.

This transfer is the heart of potential energy. The value depends on how the parts of a system are arranged and on the reference point you choose. In school problems, the floor or another convenient level is often assigned zero gravitational potential energy so changes are easy to calculate.

Gravitational and elastic potential energy

Near Earth's surface, gravitational potential energy can often be calculated with the expression mass times gravitational field strength times height. Raising a heavier object by the same height gives a larger increase in gravitational potential energy. Raising the same object higher also gives a larger increase.

Elastic potential energy appears when an elastic object such as a spring or rubber band is stretched or compressed. Work done to deform it can be stored in the arrangement of its particles. When released, the object can transfer that energy into kinetic energy, sound, thermal energy, or other forms.

These examples make potential energy easier to recognise. Look for a system whose configuration can change under a force. Height matters in a gravitational system, stretch matters in an elastic system, and separation matters in electric systems. The exact formula changes, but the idea of energy connected with arrangement stays.

How potential energy changes into other forms

Try tracing energy rather than saying that it simply gets used up:

  • A raised object can lose gravitational potential energy as it falls.
  • A compressed spring can transfer elastic potential energy into motion.
  • A pendulum continually exchanges gravitational potential energy and kinetic energy.
  • Friction can transfer mechanical energy into thermal energy.
  • Energy is conserved overall even when the form that interests you decreases.

A roller coaster is a good example. The motor that pulls a car uphill transfers energy into gravitational potential energy. As the car descends, gravitational potential energy decreases while kinetic energy grows. Friction transfers some energy into thermal energy and sound, so the car will not climb back to exactly the same height without another energy input.

Questions about potential energy often become easier when you compare two positions instead of worrying about an absolute amount. Ask which arrangement has more potential energy relative to the chosen reference, then follow where the energy goes as the system changes.

The takeaway

Potential energy is energy linked to the arrangement of parts of a system, such as height in a gravitational system or stretch in an elastic one. Track how that arrangement changes, choose a clear reference level, and follow the energy transfers. The concept becomes much less mysterious when you treat it as part of an energy story.

Practise this

Questions from Work, Energy and Power

Reading about something is not the same as being able to recall it. These are real questions from the Work, Energy and Power unit in our Physics track, answers and explanations included. The unit has 118 in total across 20 steps.

  • Guess the numberLevel 2

    1. A machine takes in 100 J and delivers 80 J of useful energy. What is its efficiency as a percentage?

    Answer: 80 %

    Efficiency = useful energy out / total energy in x 100 = 80 / 100 x 100 = 80 percent.

  • Match the pairsLevel 3

    2. Match each energy quantity to the formula used to calculate it.

    Answer: Kinetic energy = one half m v squared; Gravitational potential energy = m g h; Elastic potential energy = one half k x squared; Work by a constant force = F d cos theta

    Each mechanical energy term has its own standard expression relating it to mass, speed, height or extension.

  • Match the pairsLevel 2

    3. Match each physical quantity to its correct SI unit.

    Answer: Work = joule; Force = newton; Distance = metre; Time = second

    Work is in joules, force in newtons, distance in metres and time in seconds.