NotesNotes. What is Mass? How much stuff (matter) an object has.

What is Mass?

•How much stuff (matter) an object has

What is Volume?

•Amount of space an object takes up

Density is…

•Distribution of a quantity over a certain amount of space

•Mass per unit Volume

Mass

Volume

Important

Density =

Story Time

Archimedes

Story of the King’s Crown

•King of Syracuse sent a huge nugget of gold to be made into a crown


•King thought the crown was mixed with silver


•The blacksmith could have stolen some of the gold and mixed the rest with silver

•Asked Archimedes to figure out if all the gold given to the blacksmith was in the crown.



•Archimedes weighed the crown and the gold and got their masses.

•They has the same mass.


•Let’s just say the crown was 800 grams

•So… Mass = 800g


800 g

VolumeDensity (Crown) =


•So the Masses match up…

•Do the Volumes?…


Archimedes had to take a bath to think about this problem…

•He filled the tub up the whole way, to the brim!

•Then he got in…


•Water fell out of the tub!!•But he noticed something about the amount of water that sloshed out…


•The Volume of water that fell out = Volume of his body!


V (Water) = V (Archimedes)

B4 After

Therefore…


•Archi measured the Crown’s Volume to be 48 cm3

•So…


800 g

48 cm3Density (Crown) =


Density (Crown) = 16.6 g/cm3

Density (Gold) = 19.3 g/cm3

Not the same!


• It was mixed with Ag (Density = 10.3 g/cm3)

•The blacksmith was ripping him off!!


•The King had the blacksmith BEHEADED immediately.


•Archimedes is credited with the Density relationship

Mass

Volume

Important

Density =

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