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(a) Determine the total force, in kN, on the bottom of a 100 × 50 m swimming pool. The depth of the pool varies linearly along its length from 1 m to 4 m. (b) Determine the pressure on the floor at the center of the pool, in kPa. The atmospheric pressure is 0.98 bar, the density of the water is 997 kg/m3, and the local acceleration of gravity is 9.8 m/s2.

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