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
0.917 g cm-3.

Answer 1

$$\begin{gathered} \mathbf{Condition}\mathbf{}\mathbf{to}\mathbf{}\mathbf{float}\mathbf{:} \\ \mathrm{Let} \\ \mathrm{V}=\mathrm{Total}\mathrm{volume}\mathrm{of}\mathrm{iceberg} \\ \mathrm{Weight}\mathrm{of}\mathrm{iceberg}=\mathrm{Weight}\mathrm{of}\mathrm{the}\mathrm{water}\mathrm{displaced}\mathrm{by}\mathrm{immersed}\mathrm{part} \\ {\mathrm{\rho }}_{\mathrm{ice}}\mathrm{Vg}={\mathrm{\rho }}_{\mathrm{w}}\mathrm{V}\text{'}\mathrm{g} \\ 0.917\times \mathrm{V}=1\times \mathrm{V}\text{'} \\ \mathrm{V}\text{'}=0.917\mathrm{V} \end{gathered}$$