Question

Ice has a density of 920 kg per cubic metre. What is the mass of five cubic metres of ice?

Answer 1

Answer:

Let V

L

and V

S

be the volume of water displaced and volume of the ice respectively; ρ

L

and ρ

S

be the density of water and density of ice respectively. Since ice is floating on water, F

B

=W

or ρ

L

V

L

g=ρ

S

V

S

g or ρ

L

V

L

=ρ

S

V

S

or

V

S

V

L

=

ρ

L

ρ

S

This is the fraction of volume of the iceberg that is inside the water. Therefore, the fraction of volume of the iceberg that is outside the water is given by, 1 - 0.893 = 0.107

Hence, the fraction of the total volume of an iceberg is outside the water is 0.107