Respuesta :
The density of the liquid is 1470.43 kg/m³. Density is an important parameter in order to understand the fluid and its properties. Its unit is kg/m³.
What is density?
Density is defined as the mass per unit volume. The mass and density relation is given as;
mass = density × volume
The given data in the problem is as ;
m is the mass of a solid sphere=8.2 kg
[tex]\rm \rho_s[/tex] is the density of the metal= 2300 kg/m³
T is the tension in the cord = 23 N.
The volume of the liquid is found as;
[tex]\rm V_{sphere} = \frac{m}{\rho} \\\\ \rm V_{sphere} =\frac{8.2}{2300} \\\\ \rm V_{sphere} = 0.00356 \ m^3[/tex]
The volume of the sphere is equal to the volume displaced;
Volume displaced = 0.00356 m³
The buoyant force is found as;
[tex]\rm F_B = \rho g V \\\\[/tex]
From the given condition it is observed that the weight of the sphere is equal to the sum of buoyancy force and the tension in the cord.
[tex]\rm mg = \rho g V+T \\\\ 8.2 \times 9.81 = \rho \times 9.81 \times 0.00356+23 \\\\\ 80.442=\rho \times 0.0349 +23 \\\\ \rho = 1645.90 \ kg/m^3[/tex]
Hence the density of the liquid is 1645.90 kg/m³.
To learn more about the density refers to the link;
brainly.com/question/952755
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