$$P = \rho g h$$
Where:
- P is the pressure in Pascals (Pa)
- ρ is the density of the fluid in kilograms per cubic meter (kg/m^3)
- g is the acceleration due to gravity (approximately 9.8 m/s^2)
- h is the depth of the fluid in meters (m)
In this case, the fluid is water, which has a density of approximately 1000 kg/m^3. The depth of the water is 5.0 m.
Substituting these values into the formula, we get:
$$P = (1000 \text{ kg/m}^3)(9.8 \text{ m/s}^2)(5.0 \text{ m})$$
$$P = 49,000 \text{ Pa}$$
Therefore, the pressure exerted on the swimmer at the bottom of the 5.0 m deep swimming pool is 49,000 Pa.
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