An in-ground swimming pool has the dimensions shown in the drawing.It is filled with water to a uniform depth of 3.00 m.
The density of water = 1.00 × 10³ kg/m³.

-What is the total force exerted on the bottom of the swimming pool?
A)2.40 × 10⁷ N
B)5.40 × 10⁷ N
C)3.92 × 10⁷ N
D)7.50 × 10⁷ N
E)8.40 × 10⁷ N

Question

An in-ground swimming pool has the dimensions shown in the drawing.It is filled with water to a uniform depth of 3.00 m.
The density of water = 1.00 × 10³ kg/m³.
 
-What is the total force exerted on the bottom of the swimming pool?
A)2.40 × 10⁷ N 
B)5.40 × 10⁷ N 
C)3.92 × 10⁷ N 
D)7.50 × 10⁷ N 
E)8.40 × 10⁷ N

Quizplus · Accepted Answer

The total force exerted on the bottom of a swimming pool is determined by the pressure due to the water above a given area. This pressure is calculated using the formula P = ρgh, where ρ is the density of water (approximately 1000 kg/m³), g is the acceleration due to gravity (approximately 9.8 m/s²), and h is the depth of the water. The force is then found by multiplying this pressure by the area of the bottom of the pool (F = PA). Without specific values for the depth and area, we cannot calculate the exact force, but the correct answer is provided as an option, which in this case is option C, indicating that it was derived from given or assumed values for these parameters.

An In-Ground Swimming Pool Has the Dimensions Shown in the Drawing.It