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Momentum

5,675 bytes added, 06:29, 15 December 2019
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==Key Stage 4 Higher==
===Meaning===
'''Momentum''' is a [[vector]] quantity and the [[Product (Maths)|product]] of [[mass]] and [[velocity]] of an [[object]].
===About Momentum===
====Finding Velocity from Mass and Momentum====
{| class="wikitable"
| style="height:20px; width:300px; text-align:center;" |QuestionA 700kg car has a [[momentum]] of 2.4x10<sup>4</sup>kgm/s. Calculate the [[velocity]] of the car correct to two [[Significant Figures|significant figures]].| style="height:20px; width:300px; text-align:center;" |QuestionAn [[asteroid]] with a [[mass]] of 77Mg has a [[momentum]] of 3.2x10<sup>9</sup>kgm/s. Calculate the [[velocity]] of the [[asteroid]] correct to two [[Significant Figures|significant figures]].
|-
| style="height:20px; width:300px; text-align:left;" |'''1. State the known quantities'''
 
m = 700kg
 
p = 2.4x10<sup>4</sup>kgm/s
| style="height:20px; width:300px; text-align:left;" |'''1. State the known quantities'''
 
m = 77Mg = 77x10<sup>6</sup>
 
p = 3.2x10<sup>9</sup>kgm/s
|-
| style="height:20px; width:300px; text-align:left;" |'''2. [[Substitute (Maths)|Substitute]] the numbers and [[Evaluate (Maths)|evaluate]].'''
 
<math>p = mv</math>
 
<math>2.4 \times 10^4 = 700v</math>
| style="height:20px; width:300px; text-align:left;" |'''2. [[Substitute (Maths)|Substitute]] the numbers and [[Evaluate (Maths)|evaluate]].'''
 
<math>p = mv</math>
 
<math>3.2 \times 10^9 = (77 \times 10^6 )v</math>
|-
| style="height:20px; width:300px; text-align:left;" |'''3. [[Rearrange (Maths)|Rearrange]] the equation and [[Solve (Maths)|solve]].'''
 
<math>v = \frac{2.4 \times 10^4}{700}</math>
 
<math>v = 34.285714m/s</math>
 
<math>v \approx 34m/s</math>
| style="height:20px; width:300px; text-align:left;" |'''3. [[Rearrange (Maths)|Rearrange]] the equation and [[Solve (Maths)|solve]].'''
 
<math>v = \frac{3.2 \times 10^9}{77 \times 10^6}</math>
 
<math>v = 41.558441m/s</math>
 
<math>v \approx 42m/s</math>
|}
====Finding Mass from Velocity and Momentum====
{| class="wikitable"
| style="height:20px; width:300px; text-align:center;" |QuestionA skydiver has a [[velocity]] of 53m/s and a [[momentum]] of 4400kgm/s. Calculate the [[mass]] of the skydiver correct to two [[Significant Figures|significant figures]].| style="height:20px; width:300px; text-align:center;" |QuestionA plane travelling with a [[velocity]] of 122m/s has a [[momentum]] of 9.2x10<sup>4</sup>kgm/s. Calculate the [[mass]] of the [plane]] correct to two [[Significant Figures|significant figures]].
|-
| style="height:20px; width:300px; text-align:left;" |'''1. State the known quantities'''
 
v = 53m/s
 
p = 4400kgm/s
| style="height:20px; width:300px; text-align:left;" |'''1. State the known quantities'''
 
v = 122m/s
 
p = 9.2x10<sup>4</sup>kgm/s
|-
| style="height:20px; width:300px; text-align:left;" |'''2. [[Substitute (Maths)|Substitute]] the numbers and [[Evaluate (Maths)|evaluate]].'''
 
<math>p = mv</math>
 
<math>4400 = 53m</math>
| style="height:20px; width:300px; text-align:left;" |'''2. [[Substitute (Maths)|Substitute]] the numbers and [[Evaluate (Maths)|evaluate]].'''
 
<math>p = mv</math>
 
<math>9.2 \times 10^4 = 122m</math>
|-
| style="height:20px; width:300px; text-align:left;" |'''3. [[Rearrange (Maths)|Rearrange]] the equation and [[Solve (Maths)|solve]].'''
 
<math>m = \frac{4400}{53}</math>
 
<math>m = 83.01887kg</math>
 
<math>m \approx 83kg</math>
| style="height:20px; width:300px; text-align:left;" |'''3. [[Rearrange (Maths)|Rearrange]] the equation and [[Solve (Maths)|solve]].'''
 
<math>m = \frac{9.2 \times 10^4}{122}</math>
 
<math>m = 754.0984kg</math>
 
<math>m \approx 750kg</math>
|}
 
===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 ''Momentum, pages 141, 164-5, GCSE Physics; Student Book, Collins, 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 ''Momentum, pages 150-155, 157, GCSE Physics; Third Edition, Oxford University Press, AQA '']
:[https://www.amazon.co.uk/gp/product/1471851370/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1471851370&linkCode=as2&tag=nrjc-21&linkId=01c69b0ae058f809cf636033e6ba793e ''Momentum, pages 166-7, GCSE Physics, Hodder, 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 ''Momentum, pages 183, 184, 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 ''Momentum, pages 216-220, GCSE Physics; The Complete 9-1 Course for AQA, CGP, AQA '']
:[https://www.amazon.co.uk/gp/product/1471851362/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1471851362&linkCode=as2&tag=nrjc-21&linkId=7d78d70a2044ee9982dae010c94af92a ''Momentum, pages 244-5, GCSE Combined Science Trilogy 2, Hodder, 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=f0dfb66dafcb0c6e9449e7b1a4ae1ac318 ''Momentum, pages 70, 71, GCSE Physics; The Revision Guide, CGP, AQA '']
 
====Edexcel====
 
:[https://www.amazon.co.uk/gp/product/1782945741/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1782945741&linkCode=as2&tag=nrjc-21&linkId=30da4f2178da182547b62a7329d13b57 ''Momentum, pages 153, 154, GCSE Combined Science; The Revision Guide, CGP, Edexcel '']
:[https://www.amazon.co.uk/gp/product/1782945733/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1782945733&linkCode=as2&tag=nrjc-21&linkId=2a2dbec9db6bf5766c0458d908fa0a52 ''Momentum, pages 20, 21, GCSE Physics; The Revision Guide, 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 ''Momentum, pages 287, 308-309, 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 ''Momentum, pages 3, 24-25, 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 ''Momentum, pages 44-47, GCSE Physics, CGP, 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 ''Momentum; conservation of, page 25, GCSE Physics, Pearson 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 ''Momentum; conservation of, page 309, GCSE Combined Science, Pearson Edexcel '']
 
====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 ''Momentum, pages 31, 32, 89, Gateway GCSE Physics; The Revision Guide, CGP, 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 ''Momentum, pages 72-73, Gateway GCSE Physics, Oxford, OCR '']
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