The average density of the goose on the given lake is 460 kg/m³.
The given parameters;
- mass of the goose, m = 3.6 kg
- fraction of the goose below the lake, = 46%
- density of the water, ρ = 1000 kg/m³
The specific gravity of the goose is calculated as follows;
[tex]S.G = \frac{46}{100} = 0.46[/tex]
The density of the goose is calculated as follows;
[tex]S.G = \frac{\rho _{g}}{\rho_{w}} \\\\\rho_{g} = S.G \times \rho_{w}[/tex]
where;
- [tex]\rho _{w}[/tex] is the density of water
- [tex]\rho _{g}[/tex] is the density of the goose
The density of the goose is calculated as;
[tex]\rho _{g}= 0.46 \times 1000 \ kg/m^3\\\\\rho _{g}= 460 \ kg/m^3[/tex]
Thus, the average density of the goose on the given lake is 460 kg/m³.
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