Answer :
Final answer:
The pressure difference between the top and bottom of a 2-m deep swimming pool, calculated using the formula ΔP = ρgh, is 19.6 kPa. Option e is the answer.
Explanation:
The question involves calculating the pressure difference between the top and bottom of a 2-m deep swimming pool. The pressure exerted by a fluid in an open container, such as a swimming pool, depends on the fluid's density, the acceleration due to gravity, and the depth of the fluid. The formula to calculate this pressure difference is ΔP = ρgh, where ΔP is the pressure difference, ρ (rho) is the density of the fluid (for water, it's approximately 1000 kg/m³), g is the acceleration due to gravity (about 9.8 m/s²), and h is the depth of the fluid.
Substituting these values for a depth (h) of 2 meters, we get ΔP = 1000 kg/m³ * 9.8 m/s² * 2 m = 19600 Pa, or 19.6 kPa. Therefore, the correct pressure difference between the top and bottom of the pool is 19.6 kPa.
