Gravitational Potential Energy (AQA GCSE Physics): Revision Note

Exam code: 8463

What is Gravitational Potential Energy?

  • Energy in the gravitational store of an object is defined as:

    The energy an object has due to its height in a gravitational field

  • This means:

    • If an object is lifted up, energy is transferred to its gravitational potential store 

    • If an object falls, energy will be transferred away from its gravitational potential store

Illustration of a person lifting a weight labelled "MASS, m" at height "h". Arrow indicates height. Equation "GPE = m × g × h" for gravitational potential energy.

Gravitational Potential Energy Equation

  • The gravitational potential energy, Ep, of an object can be calculated using the equation:

Ep = m × g × h

  • Where:

    • Ep = gravitational potential energy, in joules (J)

    • m = mass, in kilograms (kg)

    • g = gravitational field strength in newtons per kilogram (N/kg)

    • h = height in metres (m)

Gravitational Field Strength

  • The gravitational field strength (g) on the Earth is approximately 9.8 N/kg

  • The gravitational field strength on the surface of the Moon is less than on the Earth

    • This means it would be easier to lift a mass on the Moon than on the Earth

  • The gravitational field strength on the surface of the gas giants (eg. Jupiter and Saturn) is more than on the Earth

    • This means it would be harder to lift a mass on the gas giants than on the Earth

Illustration of the Sun, planets, and Moon showing relative gravitational forces: Sun 293.0, Jupiter 24.7, Saturn 10.5, Uranus 9.0, Earth 9.8, Mars 3.7, Moon 1.7 N/kg.

Some values for g on the different objects in the Solar System

Worked Example

A man of mass 70 kg climbs a flight of stairs that is 3 m higher than the floor. Gravitational field strength is approximately 9.8 N/kg. Calculate the energy transferred to the man's gravitational potential energy store.

Answer: 

Step 1: List the known quantities

  • Mass of the man, m = 70 kg

  • Gravitational field strength, g = 9.8 N/kg

  • Height, Δh = 3 m

Step 2: Write down the equation for gravitational potential energy

ΔEP = mgΔh

Step 3: Calculate the gravitational potential energy

ΔEP = 70 × 9.8 × 3

ΔEP  = 2058 J

Examiner Tips and Tricks

When doing calculations involving gravitational field strength, g, always use the value of 9.8 N/kg unless you are told otherwise in your exam question. You will be expected to remember the value of g for your exam!

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