GOLD CROWN PROBLEM (page 2) Archimedes and Poseidon's Magic

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Archimedes’ Gold Crown Problem
Archimedes made one of his most famous discoveries by stepping into a bathtub.  When he displaced the water in the tub he realized that it was the solution to figure out if the king’s crown was pure gold.

Materials: 2 pieces of 3 X 3 foil, tub of water, 10 pennies
STEP ONE: Wrap a piece of foil around 5 pennies
STEP ONE:  Fold it into a ball, drop into water.
    What happened? __________________
STEP TWO: Use the second flat sheet.  Experiment with shaping the second piece until it holds 5 pennies and floats.

What’s Up? Both pieces of foil have the same mass. When the second piece of foil is shaped into a boat the mass is the same but the volume has increased. With a hollow hull on the tin foil boat the boat displaces more water than the ball.
The picture is of the “Oasis of the Sea” it is the world’s largest cruise ship and it has a mass of 100,000 tons.  Yet, it floats.  Using Archimedes principle, ship designers know that a boat must displace a volume of water that is more than its own weight.
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