Gravitational Potential Energy (AQA GCSE Physics)
Revision Note
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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
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
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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