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Eduardwww [97]
3 years ago
15

Electric power is to be generated by installing a hydraulic turbine-generator at a site 120 m below the free surface of a large

water reservoir that can supply water at a rate of 1900 kg/s steadily. Determine the power generation potential
Physics
1 answer:
iogann1982 [59]3 years ago
8 0

Answer:

P = 2234400 Watt

Explanation:

Power generation is given as rate of work done

Here the turbine generator is located at 120 m below the free surface

So here rate of work done is given as rate of potential energy

Power = \frac{dw}{dt}

Power = \frac{mgh}{t}

so we have

Power = (\frac{dm}{dt})gh

now we have

Power = 1900(9.8)(120) = 2234400 Watt

so the power generation potential will be 2234400 Watt

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A ball tossed vertically upward from the ground next to a building passes the bottom of a window 1.8 s after being tossed and pa
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The ball takes 0.2 sec to travel the height of the window, which is 2 m.

 Then the speed of the ball at that time was

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v = \frac{2}{0.20}

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So:

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Then we have the equation for the position as a function of time.

r = r_0 + v_0t - \frac{1}{2}gt^2

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r = position as a function of time

v_0 = initial velocity

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t = time.

If the ball is thrown from the ground then:

r_0 = 0 m

We want to find now the distance between the window and the ground.

When the ball reaches the bottom of the window t = 1.8s

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r = 0 + 29.6(1.8) - 0.5(9.8)(1.8)^2

r = 37,404 m

The window is 37,404 m high

Finally, to know how high the ball rises we must know at what moment the vertical velocity of the ball is zero.

v = v_0 -gt\\\\0 = v_0 -gt\\\\gt = v_0\\\\t = \frac{29.6}{9.8}

t = 3.02\ s

Now we replace t in the position equation

r = 0 + 29.6(3.02) -0.5(9.8)(3.02)^2

r = 44.70\ m

The ball reaches up to 44.70 m in height.

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Explanation:

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Answer:

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