notesnotes. what is mass? how much stuff (matter) an object has

Notes

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

Story of the King’s Crown

•King thought the crown was mixed with silver

Story of the King’s Crown

•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.

Story of the King’s Crown

Story of the King’s Crown

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

•They has the same mass.

Story of the King’s Crown

Story of the King’s Crown

•Let’s just say the crown was 800 grams

•So… Mass = 800g

Story of the King’s Crown

800 g

VolumeDensity (Crown) =

Story of the King’s Crown

•So the Masses match up…

•Do the Volumes?…

Story of the King’s Crown

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…

Story of the King’s Crown

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

Story of the King’s Crown

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

Story of the King’s Crown

V (Water) = V (Archimedes)

B4 After

Therefore…

Story of the King’s Crown

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

•So…

Story of the King’s Crown

800 g

48 cm3Density (Crown) =

Story of the King’s Crown

Density (Crown) = 16.6 g/cm3

Density (Gold) = 19.3 g/cm3

Not the same!

Story of the King’s Crown

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

•The blacksmith was ripping him off!!

Story of the King’s Crown

•The King had the blacksmith BEHEADED immediately.

Story of the King’s Crown

•Archimedes is credited with the Density relationship

Mass

Volume

Important

Density =