Gravitational Potential Energy (Oxford AQA IGCSE Physics)

Revision Note

Leander Oates

Expertise

Physics

Gravitational Potential Energy

  • An object gains energy in its gravitational potential store when it is raised vertically through a gravitational field

  • Work is done against the weight of the object, therefore energy is transferred

  • This means:

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

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

Calculating gravitational potential energy

  • The amount of energy in an object's gravitational potential store, Ep, 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 potential energy of a mass lifted through a height

Man lifting a mass, for IGCSE & GCSE Physics revision notes
The mass gains energy in its gravitational potential store as it is lifted through a height

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

Gravitational field strength on different bodies of the solar system

g on the Sun is 293 newtons per kilogram, g on Jupiter is 24.7 newtons per kilogram,  g on Saturn is 10.5 newtons per kilogram,  g on Uranus is 9 newtons per kilogram,  g on Mars is 3.7 newtons per kilogram,  and g on the moon is 1.7 newtons per kilogram, for IGCSE & GCSE Physics revision notes
The gravitational field strength is different on various bodies in the Solar System
  • Remember that mass is not dependent upon gravitational field strength but weight is

Worked Example

A man of mass 70 kg climbs a flight of stairs 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

Exam Tip

You do not need to know the gravitational field strength values, even for Earth. You will be given the values if required in the exam.

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Leander Oates

Author: Leander Oates

Leander graduated with First-class honours in Science and Education from Sheffield Hallam University. She won the prestigious Lord Robert Winston Solomon Lipson Prize in recognition of her dedication to science and teaching excellence. After teaching and tutoring both science and maths students, Leander now brings this passion for helping young people reach their potential to her work at SME.