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Mass
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*[[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]].
: 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 [[tonne]]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]].
The [[unit]]s of [[mass]] you should be able to use are:
*[[Megagram]]s: Also known as [[tonne]]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]].
*[[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|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 [[Inertial Mass|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>
|}