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SOMEONE PLEASEEEEEEEEEEEEEEEEEEEE HELPPPPPPPPPPPPPPP How long does a 75kW motor take to extract 400m³ of water from a depth of 15
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Answers ( )
Answer:
53.33 seconds
Explanation:
From the question;
We are required to determine taken to raise the water from the given height.
We know that density of water is 1000 kg/m³
Therefore;
Mass of water = 400 m³ × 1000 kg/m³
= 4.0 × 10^5 kg
Thus, force required to raise the water;
= 4.0 × 10^5 kg × 10 N/kg
= 4.0 × 10^6 N
To determine the time;
we use the formula;
Time = work done ÷ power
= (4.0 × 10^6 N × 150 m) ÷ 75000 Joules/s
= 53.33 seconds
Therefore, time taken to raise the water is 53.33 seconds