The force exerted at the bottom of the swimming pool is 6.42 × 10⁶ N.m².
The length of the swimming pool is l = 28.5 m.
The breadth of the swimming pool is b = 10 m.
Then the area of the swimming pool is:
A = l × b
A = 28.5 m × 10 m
A = 285 m²
The depth of the pool is h = 2.30 m
The pressure exerted at the bottom of the pool is equal to the density of water.
P = ρ × g × h
P = 1000 kg/m³ × 9.8 m/s² × 2.30 m
P = 22540 N
Therefore, the force exerted by the water at the bottom of the swimming pool is:
F = P × A
F = 22540 × 285
F = 6.42 × 10⁶ N.m²
Hence, the force exerted on the bottom is 6.42 × 10⁶ N.m².
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