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Mass
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===Meaning===
[[Mass]] is the amount of [[matter]] that something is made of, [[Measure|measured]] in [[Kilogram|kilograms]].
===About Mass===
: '''Mass''' can be measured using a [[Measuring Scale|measuring scale]].
: The more [[mass]] an [[object]] has, the harder it is to [[accelerate]] the [[object]].
The [[unit]]s of [[mass]] you should be able to use are:
*[[Kilogram]]s: For [[object]]s that can be lifted by [[human]]s.
*[[Gram]]s: For quantities of [[chemical]]s used in a [[Chemical Reaction|chemical reactions]].
==Key Stage 4 Foundation==
===Meaning===
[[Mass]] is the amount of [[matter]] that something is made of, [[Measure|measured]] in [[Kilogram|kilograms]].
===About Mass===
: '''Mass''' can be measured using a [[Measuring Scale|measuring scale]] or [[Electronic Balance]].
: The [[SI Unit]] of [[mass]] is the [[kilogram]].
: [[Mass]] is a [[scalar]] quantity as it has [[magnitude]] but does not have a direction.
: The more [[mass]] an [[object]] has, the harder it is to [[accelerate]] the [[object]].
The [[unit]]s of [[mass]] you should be able to use are:
*[[Megagram]]s: Also known as [[ton]]s. There are 1000kg in one [[megagram]].
*[[Kilogram]]s: For [[object]]s that can be lifted by [[human]]s.
*[[Gram]]s: For quantities of [[chemical]]s used in a [[Chemical Reaction|chemical reactions]]. There are 1000g in 1 [[kilogram]].
*[[Milligram]]s: For doses of [[medicine]]. There are 1000,000mg in a [[kilogram]].
*[[Microgram]]s: For [[Vitamin]]s and other [[micronutrient]]s. There are 1000,000,000µg in a [[kilogram]].
==Key Stage 4 Higher==
===Meaning===
'''Inertial mass''' is <math>mass = \frac{Force}{acceleration}</math>; the [[ratio]] of [[force]] to the [[acceleration]] of an [[object]].
===About Inertial Mass===
: '''Mass''' is the resistance of an [[object]] to being [[accelerated]]. The greater the [[mass]] the more [[force]] is needed to [[accelerate]] it.
: '''Mass''' can be measured using a [[Measuring Scale|measuring scale]] or [[Electronic Balance]].
: The [[SI Unit]] of [[mass]] is the [[kilogram]].
: [[Mass]] is a [[scalar]] quantity as it has [[magnitude]] but does not have a direction.
The [[unit]]s of [[mass]] you should be able to use are:
*[[Megagram]]s: Also known as tons. There are 1000kg in one [[megagram]].
*[[Kilogram]]s: For [[object]]s that can be lifted by [[human]]s.
*[[Gram]]s: For quantities of [[chemical]]s used in a [[Chemical Reaction|chemical reactions]]. There are 1000g in 1 [[kilogram]].
*[[Milligram]]s: For doses of [[medicine]]. There are 1000,000mg in a [[kilogram]].
*[[Microgram]]s: For [[Vitamin]]s and other micronutrients. There are 1000,000,000µg in a [[kilogram]].
*[[Nanogram]]s: The [[mass]] of [[Cell (Biology)|cells]] in [[organism]]s. There are 1000,000,000,000ng in a [[kilogram]].
===Equation===
''NB: You need to remember this equation.''
Inertial Mass = (Resultant Force)/(Acceleration)
<math>m = \frac{Force}{acceleration}</math>
Where
<math>m</math> = The '''Inertial Mass''' of the [[object]].
<math>F</math> = The [[Resultant Force]] on the [[object]].
<math>a</math> = The [[acceleration]] of the [[object]].
===Example Calculations===
====Finding the Inertial Mass given the Force and Acceleration====
{| class="wikitable"
| style="height:20px; width:300px; text-align:center;" |An [[object]] is subjected to a [[Resultant Force|resultant force]] of 92N and [[accelerate]]s at a rate of 0.42m/s/s. Calculate the '''inertial mass''' of the [[object]] correct to two [[Significant Figures|significant figures]].
| style="height:20px; width:300px; text-align:center;" |The brakes of a car provide a [[force]] of 12kN and are able to [[decelerate]] it at a rate of 8.7m/s/s. Calculate the '''intertial mass''' of the car correct to two [[Significant Figures|significant figures]].
|-
| style="height:20px; width:300px; text-align:left;" |'''1. State the known quantities'''
a = 0.42m/s/s
F = 92N
| style="height:20px; width:300px; text-align:left;" |'''1. State the known quantities'''
a = 8.7m/s/s
F = 12kN = 12 x 10<sup>3</sup>N
|-
| style="height:20px; width:200px; text-align:left;" |'''2. [[Substitute (Maths)|Substitute]] the numbers into the [[equation]] and [[Solve (Maths)|solve]].'''
<math>m= \frac{F}{a}</math>
<math>m = \frac{92}{0.42}</math>
<math>m = 219.047619kg</math>
<math>m \approx 220kg</math>
| style="height:20px; width:200px; text-align:left;" |'''2. [[Substitute (Maths)|Substitute]] the numbers into the [[equation]] and [[Solve (Maths)|solve]].'''
<math>m= \frac{F}{a}</math>
<math>m = \frac{12 \times 10^3}{8.7}</math>
<math>m = 1379.31034kg</math>
<math>m \approx 1400kg</math>
|}
===References===
====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 ''Inertial mass, page 165, 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 ''Inertial mass, page 197, GCSE Physics; The Complete 9-1 Course for AQA, CGP, 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=f0dfb66dafcb0c6e9449e7b1a4ae1ac251 ''Inertial mass, page 65, GCSE Physics; The Revision Guide, CGP, 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=f0dfb66dafcb0c6e9449e7b1a4ae1ac298 ''Mass, page 52, GCSE Physics; The Revision Guide, 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 ''Mass, pages 11-13, 76-78, 124-125, 145-146, 150-153, GCSE Physics; Third Edition, Oxford University Press, 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 ''Mass, pages 129, 130, 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 ''Mass, pages 149, 150, GCSE Physics; The Complete 9-1 Course for AQA, CGP, 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 ''Mass, pages 152-3, GCSE Physics; Student Book, Collins, 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=ad276ad49df77ab4b40ab4fd0fe10058 ''Mass, pages 195, 204, 212, GCSE Combined Science; The Revision Guide, CGP, 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 ''Inertial mass, page 19, 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 ''Inertial mass, page 303, GCSE Combined Science, Pearson 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 ''Mass, page 150, GCSE Combined Science; The Revision Guide, 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 ''Mass, page 37, GCSE Physics, 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 ''Mass, page e17, GCSE Physics; The Revision Guide, 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 ''Mass, pages 16-17, 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 ''Mass, pages 216, 300-301, GCSE Combined Science, 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 ''Mass; conservation in changes of state, page 303, 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 ''Mass; conservation of, page 182, 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 ''Mass; conservation of, pages 218-219, 414, 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 ''Mass; inertial, page 19, 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 ''Mass; inertial, page 303, GCSE Combined Science, 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 ''Mass; inertial, page 36, 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 ''Mass; measuring, page 33, GCSE Physics, CGP, Edexcel '']
:[https://www.amazon.co.uk/gp/product/1292120215/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1292120215&linkCode=as2&tag=nrjc-21&linkId=8f96ddb76196848bafdb124354e4cf77 ''Masses, page 72, GCSE Chemistry, Pearson, Edexcel '']
====OCR====
:[https://www.amazon.co.uk/gp/product/1782945679/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1782945679&linkCode=as2&tag=nrjc-21&linkId=a2db42f7b4bdf10cafaafa3bb9120940 ''Mass (units of), page 9, Gateway GCSE Chemistry; 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 ''Mass, pages 13, 14, 33, Gateway GCSE Physics; The Revision Guide, CGP, 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 ''Mass, pages 151, 166, Gateway GCSE Combined Science; 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 ''Mass, pages 24, 250, Gateway GCSE Physics, Oxford, OCR '']
:[https://www.amazon.co.uk/gp/product/0198359829/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=0198359829&linkCode=as2&tag=nrjc-21&linkId=90e8d7b4f039d53035238fa0320fe00b ''Mass, pages 90-91, 97-99, 164, Gateway GCSE Chemistry, Oxford, OCR '']