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==Key Stage 4==
{{#ev:youtube|https://www.youtube.com/watch?v=Pe4lX_FcqZ4}}
===Meaning===
The '''elastic potential energy store''' is an [[Energy Store|energy store]] associated with stretched, squashed and twisted elastic [[object]]s.
: The '''elastic potential energy store''' of an [[object]] is related to two [[property|properties]] of the [[object]]:
*The [[Spring Constant]] of the [[object]]. - The amount of [[force]] needed to stretch or squash it's shape by a given distance. The greater the [[Spring Constant|spring constant]] the greater the '''elastic potential energy''' stored.
*The [[Extension (Physics)|extension]] of the [[object]]. - The distance that the [[object]] has been stretched or squashed. The greater the [[Extension (Physics)|extension]] the greater the '''elastic potential energy''' stored.
===Equation===
k = The [[Spring Constant|spring constant]] of the [[object]].
x = The [[Extension (Physics)|extension]] of the [[object]].
===Calculating Elastic Potential Energy===
{{#ev:youtube|https://www.youtube.com/watch?v=v7uBIR9RWe0}}
{| class="wikitable"
| style="height:20px; width:200px; text-align:center;" |A bow with a spring constant of 400N/m is stretched 0.5m with a force of 200N. Calculate the elastic potential store of the bow.
Final Length = 9.1m
'''Find the [[Extension (Physics)|extension]].'''
x = Final Length - Original Length = 9.1 - 0.1 = 9.0m
|-
| style="height:20px; width:200px; text-align:left;" |'''2. [[Substitute (Maths)|Substitute]] the numbers into the [[equation]] and [[Solve (Maths)|solve]].'''
<math>E_e = \frac{1}{2} k x^2</math>
<math>E_e = 50J</math>
| style="height:20px; width:200px; text-align:left;" |'''2. [[Substitute (Maths)|Substitute]] the numbers into the [[equation]] and [[Solve (Maths)|solve]].'''
<math>E_e = \frac{1}{2} k x^2</math>
<math>E_e \approx 20,000J</math>
| style="height:20px; width:200px; text-align:left;" |'''2. [[Substitute (Maths)|Substitute]] the numbers into the [[equation]] and [[Solve (Maths)|solve]].'''
<math>E_e = \frac{1}{2} k x^2</math>
<math>E_e \approx 32J</math>
|}
===References===
====AQA====
:[https://www.amazon.co.uk/gp/product/178294558X/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=178294558X&linkCode=as2&tag=nrjc-21&linkId=f0dfb66dafcb0c6e9449e7b1a4ae1ac110 ''Elastic potential energy stores, pages 12, 55, 56, GCSE Physics; The Revision Guide, CGP, AQA '']
:[https://www.amazon.co.uk/gp/product/1782945598/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1782945598&linkCode=as2&tag=nrjc-21&linkId=ad276ad49df77ab4b40ab4fd0fe09874 ''Elastic potential energy stores, pages 169, 206, 207, GCSE Combined Science; The Revision Guide, CGP, AQA '']
:[https://www.amazon.co.uk/gp/product/1782946403/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1782946403&linkCode=as2&tag=nrjc-21&linkId=32a0abb60dff015b15b50e9b1d7b4644 ''Elastic potential energy stores, pages 21, 27, 28, 141, GCSE Combined Science Trilogy; Physics, CGP, AQA '']
:[https://www.amazon.co.uk/gp/product/1782945970/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1782945970&linkCode=as2&tag=nrjc-21&linkId=a120d24dcc7cc7a58192069a3aafc1d2 ''Elastic potential energy stores, pages 22, 28, 29, 161, GCSE Physics; The Complete 9-1 Course for AQA, CGP, AQA '']
====Edexcel====
:[https://www.amazon.co.uk/gp/product/1782948163/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1782948163&linkCode=as2&tag=nrjc-21&linkId=0fdbfd5dd397d6e24a9dfb250f08587f ''Elastic potential energy stores, pages 61, 325, GCSE Physics, CGP, Edexcel '']
:[https://www.amazon.co.uk/gp/product/1292120193/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1292120193&linkCode=as2&tag=nrjc-21&linkId=572df39392fb4200db8391d98ae6314e ''Elastic potential energy, page 316, GCSE Combined Science, Pearson Edexcel '']
:[https://www.amazon.co.uk/gp/product/1292120223/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1292120223&linkCode=as2&tag=nrjc-21&linkId=068ecf40278c32406a7f1c6e66751417 ''Elastic potential energy, page 34, GCSE Physics, Pearson Edexcel '']
====OCR====
:[https://www.amazon.co.uk/gp/product/1782945695/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1782945695&linkCode=as2&tag=nrjc-21&linkId=ceafcc80bcad6b6754ee97a0c7ceea53 ''Elastic potential energy stores, pages 171, 202, 206, Gateway GCSE Combined Science; The Revision Guide, CGP, OCR '']
:[https://www.amazon.co.uk/gp/product/1782945687/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1782945687&linkCode=as2&tag=nrjc-21&linkId=9a598e52189317a20311d7a632747bc9 ''Elastic potential energy stores, pages 37, 82, 86, Gateway GCSE Physics; The Revision Guide, CGP, OCR '']