Answer:
18,375 kJ
Explanation:
Parameters given:
Density of water: 1000 kg/m³
Acceleration due to gravity = 9.8 m/s²
Dimensions of pool = 30m × 10m × 2.5m
Depth of pool = 2.5 m
First we need to find the mass of the water in the pool:
Density = mass/volume
Mass = density * volume
Since the pool is full of water, the volume of the water is equal to the volume of the pool:
Volume = 30 * 10 * 2.5 = 750 m³
Mass = 1000 * 750
Mass = 750,000 kg
We can now find the force required to pump the water out of the pool:
F = m * g
Where m = mass of water
g = acceleration due to gravity
F = 750,000 * 9.8 = 7,350,000 N
The work needed to be done is the product of the force required by the distance the water would need to move to be pumped out (depth of pool):
Work = F * d
Work = 7,350,000 * 2.5
Work = 18,375,000 J = 18,375 kJ
