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chloeozenghar1
27.05.2021 •
Physics
tha motor pumps water from a well 10 m deep and projects it at a speed of 15 meters per second.the water pause ftom the pipe at a rate of 1200 kg per minute calculate the power of the motor
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Ответ:
4210 W
Explanation:
We'll begin by calculating the energy required in lifting the water from the depth. This can be obtained as follow:
Mass (m) = 1200 Kg
Height (h) = 10 m
Acceleration due to gravity (g) = 9.8 m/s²
Energy (E₁) =?
E₁ = mgh
E₁ = 1200 × 9.8 × 10
E₁ = 117600 J
Next, we shall determine the energy required to project the water at 15 m/s. This can be obtained as follow:
Mass (m) = 1200 Kg
Velocity (v) = 15 m/s
Energy (E₂) =?
E₂ = ½mv²
E₂ = ½ × 1200 × 15²
E₂ = 600 × 225
E₂ = 135000 J
Finally, we shall determine the power of the motor. This can be obtained as follow:
Total energy (E) = E₁ + E₂
= 117600 + 135000
= 252600 J
Time (t) = 1 min = 60 s
Power (P) =?
P = E/t
P = 252600 / 60
P = 4210 W
Therefore, the power of the motor is 4210 W.
Ответ:
yes their density are equal