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