First slide

Pressure in a fluid-mechanical properties of fluids

Question

An iceberg is floating partially immersed in sea water. The density of sea water is 1.03 g cm^-3 and that of ice is 0.929 cm^-3. The approximate percentage of total volume
of iceberg above the level of sea water is

Moderate

A

8
B

11
C

34
D

89

Solution

$\begin{array}{l} B = m g \\ \Rightarrow (V - Δ V) \times 1.03 \times g = V \times 0.92 \times g \\ ⇒ \frac{V - Δ V}{V} = \frac{0.92}{1.03} \\ ⇒ \frac{Δ V}{V} = 1 - \frac{0.92}{1.03} = \frac{0.11}{1.03} \end{array} \Rightarrow \frac{Δ V}{V} \times 100 = \frac{11}{1.03} \approx 11$

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