Question

Iceberg floats in water with part of it submerged. What is the fraction of the volume of iceberg submerged if the density of ice is $p_i=0.917\frac{g}{c{m}^3}$?

Answer 1

Given, Density of ice is $p_i=0.917\frac{g}{c{m}^3}$

Let the density of water be$p_w=1\frac{gm}{c{m}^3}$.

Let the volume of the iceberg be V.

Weight of the iceberg $W=p_{i}gV\dots \left(i\right)$

x is the fraction of iceberg submerged in water, then the volume of water displaced:







$V_s=xV$

Buoyant force due to submerged part of iceberg

$F_B=p_{w}g{V}_s$

At equilibrium:

$F_B=W$

$p_{w}g{V}_s=p_{i}gV$

$p_{w}g\left(xV\right)=p_{i}gV$

$x=\frac{p_i}{p_w}=\frac{0.917}{1}$


$x=0.917$

Final Answer: 0.917