SOMEONE PLEASEEEEEEEEEEEEEEEEEEEE HELPPPPPPPPPPPPPPP How long does a 75kW motor take to extract 400m³ of water from a depth of 15

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SOMEONE PLEASEEEEEEEEEEEEEEEEEEEE HELPPPPPPPPPPPPPPP

How long does a 75kW motor take to extract 400m³ of water from a depth of 150m?​ ​

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Amity 4 years 2021-08-08T17:48:15+00:00 1 Answers 11 views 0

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    2021-08-08T17:50:12+00:00

    Answer:

    53.33 seconds

    Explanation:

    From the question;

    • Power of the motor is 75 kW or 75000 W
    • Depth or height is 150 m
    • Volume of water is 400 m³

    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

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