Classical Mechanics

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Archimedes' Principle: Bear on Ice


The density of sea water is $\rho_{sw}=1030\,kg/m^3$. The density of ice is $\rho_{ice}=934\,kg/m^3$. A disk of ice floats in the arctic ocean. A polar bear of mass $m_B=450\,kg$ climbs onto the ice.

How far above the water level is the top surface of the ice?

How far above the water line? Created for Albert.io. Copyright 2016. All rights reserved.

  • $\rho_{sw}=1030\,kg/m^3$
  • $\rho_{ice}=934\,kg/m^3$
  • Radius of ice = $2\,m$
  • Thickness of ice = $1\,m$
  • $m_B=450\,kg$