Answer:
We can use the formula for pressure of a liquid column:P = ρgh
where P is the pressure, ρ is the density of the liquid, g is the acceleration due to gravity, and h is the height of the liquid column.
Substituting the given values, we get:
5000 N/m² = ρ × 9.8 m/s² × 0.5 m
Solving for ρ, we get:
ρ = 5000 N/m² ÷ (9.8 m/s² × 0.5 m)
ρ = 101.02 kg/m³
Therefore, the density of the liquid is 101.02 kg/m³.