Final answer:
The pressure on the bottom of a swimming pool can be calculated using the formula P = hρg. For a pool with a water depth of 3.0 m, the pressure due to the water is approximately 29.4 kPa, or in terms of the options provided, 29 kPa, not considering atmospheric pressure the correct option is d.
Step-by-step explanation:
To calculate the pressure on the bottom of the pool due to the water, you need to use the formula for pressure, which is P = hρg, where P is the pressure, h is the depth of the water, ρ (rho) is the density of the water, and g is the acceleration due to gravity. For water, the density (ρ) is 1000 kg/m³, and the acceleration due to gravity (g) is approximately 9.8 m/s². So the pressure (P) at the bottom of the pool can be calculated as follows:
P = hρg = (3.0 m)(1000 kg/m³)(9.8 m/s²) = 29400 Pa or 29.4 kPa.
Since atmospheric pressure (approximately 101.3 kPa) also contributes to the total pressure at the bottom of the pool, the correct answer would include this contribution. Therefore, the total pressure at the bottom of the pool due to the water and the atmospheric pressure is approximately 101.3 kPa + 29.4 kPa = 130.7 kPa. However, the options do not include atmospheric pressure, so we are likely interested only in the pressure due to the water column, which is 29.4 kPa.
Therefore, the correct answer is d. 29 kPa, after rounding it to two significant figures as the other figures in the problem statement are given to two significant figures.