Open main menu

Changes

Work Done

6,816 bytes added, 12:12, 25 December 2019
no edit summary
===About Work Done===
: [[Work Done]] is measured in [[Joule]]s.
: [[Work Done]] can only be calculated for objects [[object]]s moving in the direction of the [[force]]. If the direction of the [[force]] and the motion of an [[object]] are [[perpendicular]] then no '''work''' is being done on the [[object]] by that [[force]].
===Equation===
:<math> Work Done = (Force \times ) x (Distance moved in the direction of the force</math>) :<math> W = F \times d</math>:<math> W = Fd</math>
: Work done is written with a capital W. Force is written with a capital F. Distance is written with a lower case d.
===Example Calculations===
{| border="1" style="border-collapse:collapse"|-| style="height: 1. 20px; width:200px; text-align:center;" |'''A person lifts a 40N box by a height of 1.2m. Calculate the work done by the person against gravity.'''| style="height:20px; width:200px; text-align:center;" |'''The brakes on a car apply a force of 10,000N. The car travels a distance of 15m braking. Calculate the work done by the brakes.'''| style="height:20px; width:200px; text-align:center;" |'''A person carries a 20N box along a horizontal path of 20m.'''|-| style="height:20px; width: 200px; text-align:left;" |Force = 40N: Distance moved in the direction of the force = 1.2m:<math> W = Fd</math>:<math> W = 40 \times 1.2</math> <math> W = 48J</math>| style="height:20px; width:200px; text-align:left;" |Force = 10,000N Distance moved in the direction of the force = 15m <math> W = 48JFd</math> <math> W = 10,000 \times 15</math> <math> W = 15,000J</math>| style="height:20px; width:200px; text-align:left;" |Force = 40N Distance moved in the direction of the force = 0m <math> W = Fd</math> <math> W = 20 \times 0</math> <math> W = 0J</math> No '''work''' has been done because the movement is not in the direction of the [[force]]. The [[weight]] acts downwards but the movement was horizontal.|} ===Work Done by Deformation===: When an [[object]] is [[deformation|deformed]], such as a spring being stretched, '''work''' is done to [[Energy Transfer|transfer energy]] into its [[Elastic Potential Energy Store]]. ====Work Done on a Spring===={| class="wikitable"|-|[[File:HookesLawSpring.png|center|400px]]|-| style="height:20px; width:200px; text-align:left;" |'''Work''' is done to stretch this spring.|} The '''work done''' on a [[Coil Spring|spring]] can be found with the following equation <math>W = \frac{1}{2} kx^2</math> Where: W = [[Work Done]] k = [[Spring Constant]] x = [[Extension]] of the [[object]]. ==Key Stage 4=={{#ev:youtube|https://www.youtube.com/watch?v=LVV0qE_qlkY}}===Meaning===[[Work Done]] is the amount of [[Energy Transfer|energy transferred]] by the action of a [[force]]. ===About Work Done===: [[Work Done]] is measured in [[Joule]]s.====Work Done by a Force====: [[Work Done]] by a [[force]] can only be calculated for [[object]]s moving in the direction of the [[force]]. The brakes If the direction of the [[force]] and the motion of an [[object]] are [[perpendicular]] then no '''work''' is being done on the [[object]] by that [[force]].====Work Done by Electricity====: '''Work''' can also be done by an [[Electrical Current|electrical current]] as the [[Electrostatic Field|electrostatic field]] inside a car apply [[wire]] provides a [[force ]] to move the [[electron]]s (or [[ion]]s). ===Equation for Work Done by a Force==='' '''Work Done''' = (Force) x (Distance moved in the direction of 10,000Nthe force)'' <math> W = Fd</math> Where: W = Work done F = The [[Force]] applied to the [[object]].  d = The car travels a distance moved by the [[object]] in the direction of 15m brakingthe [[force]]. ===Equation for Work Done by Electricity=== '' '''Work Done''' = (Current) x (Potential Difference) x (time)'' <math> W = IVt</math> Where: W = Work done I = The [[Electrical Current|current]] through the [[Electrical Component|component]] V = The [[Potential Difference|potential difference]] across the [[Electrical Component|component]]. t = The length of [[time]] that the [[Electrical Current|current]] is flowing. ''NB: You do not need to remember this equation. However you do need to remember the two equations which are combined to make this equation.'' 1. <math> P = IV</math> 2. <math> W = Pt</math> Where: P = [[Power]] ''Equation 1 is [[Substitute (Maths)|substituted]] into equation 2 to give'' <math> W = IVt</math>. Calculate  ===Equation for Work Done by Deformation===<math>W = \frac{1}{2} kx^2</math> Where: W = [[Work Done]] k = [[Spring Constant]] x = [[Extension]] of the work [[object]].  ===References=======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 ''Work done, pages 18-21, 99, 170, GCSE Physics; Student Book, Collins, 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 ''Work done, pages 32, 33, 135, 136, 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 ''Work done, pages 33, 34, 155, 156, GCSE Physics; The Complete 9-1 Course for AQA, CGP, 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 ''Work done, pages 8-9, GCSE Physics; Third Edition, Oxford University Press, AQA ''] ====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 ''Work done, pages 130, 195, 201, GCSE Physics, Pearson 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 ''Work done; against friction, page 201, GCSE Physics, CGP, 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 ''Work done ; by the brakes, page 52, GCSE Physics, CGP, 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 ''Work done; by charges, pages 224, 242, GCSE Physics, CGP, 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 ''Work done; by forces, pages 62, 63, 199, GCSE Physics, CGP, 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 ''Work done; in stretching, page 325, GCSE Physics, CGP, 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 ''Work done; on gases, page 312, GCSE Physics, CGP, Edexcel '']
====OCR====: 3[https://www. A person carries a 20N box along a horizontal path 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 ''Work done, pages 168. 169, 171, 172, Gateway GCSE Combined Science; The Revision Guide, CGP, OCR of 20m.'']
2,903
edits