Answer:
The calculated density of the liquid is 1470.43 kg/m³.
Explanation:
Given:
Mass of the solid sphere (m) = 6.1 kg
Density of the metal = 2600 kg/m³
To find the volume of the liquid:
Volume of the sphere can be calculated as 6.1 kg / 2600 kg/m³ = 0.002346 m³.
According to Archimedes' principle, the volume of water displaced is equal to the volume of the sphere.
Volume displaced = 0.002346 m³
The buoyant force formula is:
Where:
is the fluid's density,
g represents the acceleration due to gravity,
V indicates the volume displaced.
Referencing the free-body diagram of the sphere shown in the image:
Acceleration due to gravity = 9.81 ms⁻²
Tension force = 26 N
Using these in the equation to ascertain the liquid density yields:
Thus, the density of the liquid = 1470.43 kg/m³