Maths Gcse Edexcel Higher
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Speed-Density-And-Pressure Edexcel Higher
Exam code:1MA1
Speed, density & pressure
What are speed, density and pressure?
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Speed, density and pressure are frequently used compound measures
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Speed is equal to distance divided by time
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Density is equal to mass divided by volume
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Pressure is equal to force divided by area
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What should I know about speed, distance and time?
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Speed is commonly measured in metres per second (m/s) or kilometres per hour (km/h)
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The units indicate speed is distance per time
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‘Speed‘ (in this formula) means ‘average speed‘
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In harder problems there are often two journeys or two parts to one longer journey
What should I know about density, mass and volume?
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Density is usually measured in grams per centimetre cubed (g/cm3) or kilograms per metre cubed (kg/m3)
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The units indicate that density is mass per volume
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You may need to use a volume formula to find the volume of an object first
What should I know about pressure, force and area?
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Pressure is usually measured in Newtons per square metre (N/m2)
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The units of pressure are often called Pascals (Pa) rather than N/m2
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The units indicate that pressure is force per area
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Remember that weight is a force
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It is different to mass
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Examiner Tips and Tricks
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Look out for a mixture of units
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Time can be given as minutes but common phrases like ‘half an hour’ (30 minutes) could also be used in the same question
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Any mixed units should be those in common use and easy to convert, e.g., g to kg or m to km etc
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Worked Example
A box exerts a force of 140 newtons on a table.
The pressure on the table is 35 newtons/m2.
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F space equals space force
A space equals space area” data-mathml='<math ><semantics><mrow><mi>p</mi><mo> </mo><mo>=</mo><mo> </mo><mi>pressure</mi><mspace linebreak=”newline”></mspace><mi>F</mi><mo> </mo><mo>=</mo><mo> </mo><mi>force</mi><mspace linebreak=”newline”></mspace><mi>A</mi><mo> </mo><mo>=</mo><mo> </mo><mi>area</mi></mrow><annotation encoding=”application/vnd.wiris.mtweb-params+json”>{“language”:”en”,”fontFamily”:”Times New Roman”,”fontSize”:”18″,”autoformat”:true}</annotation></semantics></math>’ height=”74″ role=”math” src=”data:image/svg+xml;charset=utf8,%3Csvg%20xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F2000%2Fsvg%22%20xmlns%3Awrs%3D%22http%3A%2F%2Fwww.wiris.com%2Fxml%2Fmathml-extension%22%20height%3D%2274%22%20width%3D%2296%22%20wrs%3Abaseline%3D%2236%22%3E%3C!–MathML%3A%20%3Cmath%20xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmi%3Ep%3C%2Fmi%3E%3Cmo%3E%26%23xA0%3B%3C%2Fmo%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmo%3E%26%23xA0%3B%3C%2Fmo
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