A plastic block of cork floats in water with two-fifth of it's volume above the water and six-eight of it in oil. calculate the density of the cork and oil​

Respuesta :

The density of the plastic block of cork is 600 kg/m³.

The density of the oil is 800 kg/m³.

Specific gravity of the cork in water

The specific gravity of the cork in water is the fraction of the cork submerged in the water.

S.G = 1 - ²/₅

S.G = ³/₅ = 0.6

Density of the cork

The density of the cork is calculated as follows;

[tex]S.G = \frac{\rho_c}{\rho _w} \\\\\rho_c = S.G \times \rho_w \\\\\rho_c = 0.6 \times 1000\ kg/m^3\\\\\rho_c = 600 \ kg/m^3[/tex]

Density of the oil

The density of the oil is calculated as follows;

S.G = ⁶/₈ = 0.75

[tex]S.G = \frac{\rho_c }{\rho_o} \\\\\rho_o = \frac{\rho_c }{S.G} \\\\\rho_o =\frac{600 \ kg/m^3}{0.75} \\\\\rho_o = 800 \ kg/m^3[/tex]

Learn more about specific gravity and density here: https://brainly.com/question/12910511