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# Archimedes' Principle: Bear on Ice

CLMECH-01DS3Y

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?

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