A trapezoidal gate in a dam that is 2 feet wide at the top, 4 feet wide at the bottom, and 6 feet tall is submerged in water (weight density 62.4 lbs/ft3) as shown in the figure. Find the force on the gate when the surface of the water is 2 feet above the top of the gate. 
Definitions:
Crete
An island in the Mediterranean Sea, significant for its role in the development of the ancient Minoan civilization.
Homeric Poems
Ancient Greek epic poems traditionally attributed to Homer, including "The Iliad" and "The Odyssey," focusing on the Trojan War and its aftermath.
Heinrich Schliemann
An archaeologist known for his discovery of the site believed to be the ancient city of Troy.
Atlantis
A mythical island mentioned in Plato's works, said to have sunk into the ocean "in a single day and night of misfortune".
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