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March 4, 2015

March 4, 2015

Posted by **Sarah** on Monday, November 8, 2010 at 12:25am.

a) How high does the top of the ice block float above the water level?

m *

.116 OK

HELP: Use Archimedes' Priciple.

b) How many penguins of mass 27 kg each can stand on the ice block before they get their feet wet?

4 NO

HELP: Their feet will get wet if the ice block sinks below the water surface.

Just need b

- physics -
**Damon**, Monday, November 8, 2010 at 2:51amtotal volume of ice = 100*1.1 = 110m^3

mass of ice = 917*110 = 100870 kg

that is the mass of water displaced (Archimedes)

so

volume of water displaced = 100870/1025

=98.41m^3

so

100m^2 * x = 98.41 where x is the draft

x = .984 m

so height out of water = 1.1-.984 = .116m

added mass of penguins = 27 n

mass of water displaced by penquin mass = 1025*100*.116

so

27 n = 1025*100*.116

n = 440

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