First slide

Fluid statics

Question

A vessel contains oil (density 0.8 g/cc) over mercury (density 13.6 g/cc). A homogeneous sphere floats with half its volume immersed in mercury and the other half in oil. The density of the material of the sphere in g/cc is:

Moderate

A

3.3
B

6.4
C

7.2
D

12.8

Solution

${Vρ}_{B} g = \frac{V}{2} σ_{1} g + \frac{V}{2} σ_{2} g ρ_{B} = \frac{1}{2} (σ_{1} + σ_{2}) = \frac{1}{2} (0.8 + 13.6) = 7.2 g / cc .$

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