Problem 2: Archimedes principle in water
a) The specific gravities of ice and seawater are 0.92 and 1.03, respectively.
Explain why icebergs are able to float in seawater.
b) If a 3.1m-high portion of an approximately cubic-shaped iceberg extends
above the surface of the sea, estimate the height of the iceberg below the
surface of the water.
c) Is it safe for a helicopter of total mass 2.1 tonnes to land on the top of the
iceberg, without the iceberg totally submerging below the water, or tipping
over, and the helicopter getting wet?
d) What percentage of the iceberg can melt before it is no longer possible for
a person of mass 65kg to stand on the iceberg without getting their feet wet?