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<math> F = k \times x </math>
Where:: <math>F</math> = [[Force]] applied: <math>k</math> = [[Spring Constant]] (stiffness of the elastic object): <math>x</math> = [[Extension]] of the [[object]]
===Example Calculations===
==Key Stage 4==
===Meaning===
'''Hooke's Law''' states that the [[extension]] of an [[elastic]] [[object]] is [[Directly Proportional|directly proportional]] to the [[force]] applied to the [[object]].
===About Hooke's Law===
<math> F = k \times x </math>
Where:: <math>F</math> = [[Equilibrium Force]] applied: <math>k</math> = [[Spring Constant]] (stiffness of the elastic object): <math>x</math> = [[Extension]] of the [[object]]
===Example Calculations===
====Calculating Equilibrium Force====
{| class="wikitable"
| style="height:20px; width:200px; text-align:center;" |A bow with a spring constant of 390N/m is stretched 0.52m. Calculate the force applied in the bow correct to two [[Significant Figures|significant figures]].
| style="height:20px; width:200px; text-align:center;" |A bungee cord with a spring constant of 45N/m stretches by 29m. Calculate the [[force]] applied to the cord correct to two [[Significant Figures|significant figures]].
|}
====Calculating Spring Constant====
{| class="wikitable"
| style="height:20px; width:200px; text-align:center;" |A car weighing 19000N rests on a single suspension spring. This causes the spring to shorten by 0.15m. Calculate the spring constant of this spring correct to two [[Significant Figure|significant figures]].
| style="height:20px; width:200px; text-align:center;" |A girl of weight 360N balances perfectly on a pogo stick. When she is on the stick it is 13cm shorter than when she steps off. Calculate the spring constant of this spring correct to two [[Significant Figure|significant figures]].
<math> k \approx 120000N/m </math>
|}
===References===
====AQA====
:[https://www.amazon.co.uk/gp/product/019835939X/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=019835939X&linkCode=as2&tag=nrjc-21&linkId=57e96876985fc39b1a3d8a3e3dc238b6 ''Hooke’s Law, pages 13, 159, GCSE Physics; Third Edition, Oxford University Press, AQA '']
:[https://www.amazon.co.uk/gp/product/0008158770/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=0008158770&linkCode=as2&tag=nrjc-21&linkId=ec31595e720e1529e49876c3866fff6e ''Hooke's Law, pages 178-9, GCSE Physics; Student Book, Collins, AQA '']
====OCR====
:[https://www.amazon.co.uk/gp/product/0198359837/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=0198359837&linkCode=as2&tag=nrjc-21&linkId=3c4229e8b023b2b60768e7ea2307cc6f ''Hooke`s law, pages 79, 253, 289, Gateway GCSE Physics, Oxford, 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 ''Hooke’s Law, pages 170-173, 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 ''Hooke’s Law, pages 36, 37, Gateway GCSE Physics; The Revision Guide, CGP, OCR '']