Density (DP IB Physics)
Revision Note
Density
Density is the mass per unit volume of an object
If two objects occupy the same volume, the object with a lower density will have a lower mass
For example, a bucket filled with feathers will have a lower mass than the same bucket filled with sand, because feathers have a lower density than sand
The units of density depend on the units used for mass and volume:
If the mass is measured in g and volume in cm3, then the density will be in g / cm3
If the mass is measured in kg and volume in m3, then the density will be in kg / m3
How to calculate density
Gases are less dense than liquids due to their molecular arrangements
The volume of an object may not always be given directly but can be calculated using the appropriate formula
Volumes of common 3D shapes
Worked Example
A paving slab has a mass of 73 kg and dimensions 40 mm × 500 mm × 850 mm.
Calculate the density, in kg m-3 of the material from which the paving slab is made.
Answer:
Examiner Tips and Tricks
When converting a larger unit to a smaller one, you multiply (×)
E.g. 125 m = 125 × 100 = 12 500 cm
When you convert a smaller unit to a larger one, you divide (÷)
E.g. 5 g = 5 / 1000 = 0.005 or 5 × 10-3 kg
When dealing with squared or cubic conversions, cube or square the conversion factor too
E.g.
E.g.
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