Sure! It looks like you want to **calculate the force exerted by the atmosphere on the surface of the swimming pool**. Let’s proceed step by step. --- ### **Step 1: Calculate the Surface Area of the Pool** **Given:** - Length (\(L\)) = 28.0 m - Width (\(W\)) = 8.5 m \[ \text{Area} = L \times W = 28.0\, \text{m} \times 8.5\, \text{m} = 238\, \text{m}^2 \] **Explanation:** We multiply the length and width to find the surface area of the pool, since the atmospheric pressure acts on this area. --- ### **Step 2: Write Down the Atmospheric Pressure** **Given:** - Atmospheric pressure (\(P\)) = 1.013 × 10⁵ Pa (assuming units of Pascals, which is standard for atmospheric pressure) **Explanation:** Atmospheric pressure is the force per unit area exerted by the atmosphere at sea level. Here, it's given as 1.013 × 10⁵ Pa. --- ### **Step 3: Calculate the Total Force Exerted by the Atmosphere** \[ \text{Force} = \text{Pressure} \times \text{Area} \] \[ F = 1.013 \times 10^5\, \text{Pa} \times 238\, \text{m}^2 = 2.411 \times 10^7\, \text{N} \] **Explanation:** Multiply the atmospheric pressure by the area to get the total force exerted by the atmosphere on the surface of the pool. --- ## **Final Answer** \[ \boxed{2.41 \times 10^7\, \text{N}} \] This is the total force exerted by the atmosphere on the surface of the swimming pool.

The concept used involves calculating the force exerted by atmospheric pressure on a surface, which is done by multiplying the pressure (in Pascals) by the surface area (in square meters). This principle is based on the fundamental relation: Force = Pressure × Area.