First slide

Fluid statics

Question

A body floats with (1/3) of its volume outside water and (3/4) of its volume outside another liquid. The density of the other liquid is:

Moderate

A

(9/4) g/cc
B

(4/9) g/cc
C

(8/3) g/cc
D

(3/9) g/cc

Solution

${Vρ}_{B} g = {(V_{in})}_{1} σ_{w} g = {(V_{in})}_{2} σ_{L} g σ_{L} = \frac{{(V_{in})}_{1}}{{(V_{in})}_{2}} σ_{w} = \frac{\frac{2}{3} V}{\frac{1}{4} V} \times 1 = \frac{8}{3} g / cc$

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