Answer:
927.62 kg/m³ and 0.9275.
Explanation:
Density: This can be defined as the ratio of the mass of a body and its volume.
The S.I unit of density is kg/m³.
Mathematically, Density can be expressed as
D = m/v......................... Equation 1
Where D = density of the body, m = mass of the body,v = volume of the body
Also,
m = W/g.................... Equation 2
Where W = weight of the body, g = acceleration due to gravity.
Given: W = 47000 - 1500 = 45500 N, g = 9.81 m/s²
Substitute into equation 2,
m = 45500/9.81
m = 4638.12 kg.
Also given: v = 5 m³
Substitute into equation 1,
D = 4638.12/5
D = 927.62 kg/m³
Hence the mass density of the liquid = 927.62 kg/m³
Specific gravity: This is the ratio of the density of a body to the density pf water.
R.d = D/D'................................ Equation 3
Where R.d = specific gravity, D = density of the liquid, D' = density of water.
Given: D = 927.62 kg/m³, D' = 1000 kg/m³
Substitute into equation 3
R.d = 927.52/1000
R.d = 0.9275.
Hence the specific gravity of the liquid = 0.9275.
