Gravitational Potential Energy (Edexcel GCSE Physics)
Revision Note
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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
The change in the gravitational potential energy, ΔGPE of an object can be calculated using the equation:
ΔGPE = m × g × Δh
Where:
ΔGPE = change in gravitational potential energy, in joules (J)
m = mass, in kilograms (kg)
g = gravitational field strength in newtons per kilogram (N/kg)
Δh = change in vertical height in metres (m)
In Physics, Δ is the capital Greek letter 'delta' which stands for 'change in'
Gravitational Field Strength
The gravitational field strength (g) on the Earth is approximately 10 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
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 10 N/kg.
Calculate the increase in energy in his gravitational potential store.
Answer:
Step 1: List the known quantities
Mass of the man, m = 70 kg
Gravitational field strength, g = 10 N/kg
Change in height, Δh = 3 m
Step 2: Write down the equation for gravitational potential energy
Step 3: Calculate the gravitational potential energy
Examiner Tips and Tricks
When doing calculations involving gravitational field strength, g, always use the value of 10 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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