Archimedes principle: the bouyant force is equal to the weight of the water displaced.
a. mass of ice=density*volume
b. weight of water displced: densitysea*volumeice*g
weight of bear and ice: =
massbear*g+massice*g
set the two weights equal, and solve for mass bear.
The density of ice is 917 kg/m3, and the density of sea water is 1025 kg/m3. As shown is the figure, a polar bear climbs onto a piece of ice, which has a volume of 5.75 m3, and is floating in sea water. a) What is the mass of the piece of ice? b) What is the mass of the heaviest polar bear that the ice can support without sinking completely beneath the water?
1 answer
1 answer