An empty spice bottle has an inner volume of 1.31 ´ 10-4 m3. It has a mass of 112 g when filled with air, and it displaces 1.63 ´ 10-4 m3 of water when fully submerged. What fraction of the total volume of the bottle will be beneath the surface when it is placed in a tank of water?

Respuesta :

Answer:

The fraction of the total volume of the bottle will be beneath the surface is 0.687

Explanation:

The immersed volume is equal to:

[tex]mg=V_{imm} *\rho _{water} *g\\V_{imm}=\frac{m}{\rho _{water}}[/tex]

Where

m = 112 g = 0.112 kg

ρwater = 1000 kg/m³

Replacing:

[tex]V_{imm} =\frac{0.112}{1000} =1.12x10^{-4} m^{3}[/tex]

The fraction of the total volume of the bottle will be beneath the surface is:

[tex]fraction=\frac{1.12x10^{-4} }{1.63x10^{-4} } =0.687[/tex]