Water is stored in a reservoir at an average vertical height of 350 m above the turbines of a hydroelectric power station. During a 7.0 hour period, 1.8 × 10^6 m3 of water flows down from the reservoir to the turbines. (a) The density of water is 1000 kg / m3. For this 7.0 hour period, calculate (i) the mass of water that flows from the reservoir to the turbines, find the mass

the gravitational potential energy transformed as the water flows to the turbines, find the energy

the maximum possible average output power.

find the power ​

Answers

Answer 1

Answer:

(a) (i) 1) The mass of the water is 1.8 × 10⁹ kg

2) The gravitational potential energy is 6.174 × 10¹² J

4) The energy given to the turbine by the falling water is 6.174 × 10¹² J

5) The maximum possible average output power is 245 MW

Explanation:

In the question we are required to convert the total initial potential energy, P.E., of the water to power

The given parameters are;

The height of the reservoir above the turbine, h = 350 m

The time duration the volume of water takes to flow, t= 7.0 hours

The volume of water that flows down from the reservoir, V = 1.8 × 10⁶ m³

The density of the water, ρ = 1000 kg/m³

(a) (i) Density = Mass/Volume

∴ Mass = Density × Volume

The mass of the water that flows down from the reservoir = m = V × ρ

By substituting the known values, we have

The mass of the water, m = 1.8 × 10⁶ m³ × 1000 kg/m³ = 1.8 × 10⁹ kg

2) The gravitational potential energy, P.E. = m × g × h

where;

m = The mass of the water = 1.8 × 10⁹ kg

g = The acceleration due to gravity = 9.8 m/s²

h = The height from which the water falls = 350 m

Which gives;

The gravitational potential energy,

P.E. = 1.8 × 10⁹ kg × 9.8 m/s² × 350 m = 6.174 × 10¹² J

The gravitational potential energy = 6.174 × 10¹² J

4) The energy given to the turbine by the falling water, E = The gravitational potential energy = 6.174 × 10¹² J

5) The maximum possible average output power, P = (Energy given to the turbine, E)/(Time taken to produce the energy = The time duration the water takes to flow, t)

The time duration the water takes to flow, t = 7.0 hours = 7 × 60 × 60 seconds =  25,200 seconds

∴ P = 6.174 × 10¹² J/(25,200 s) = 245,000,000 watts = 245 MW


Related Questions

Patrick passes a soccer ball 6.0m directly across the field to Vanessa who then kicks the ball 14.5m directly down the field to Claudia. What is the balls total displacement as its travels between Vanessa and Claudia

Answers

Answer:

8.5m bcs you subtract 6.0m and 14.5m.

a car covers at speed of 50m/s. how far it travels in 5 minutes​

Answers

Answer:

15,000 m

Explanation:

[tex]speed = \frac{distance}{time} [/tex]

speed = 50 m/s

time = 5 minutes × 60

= 300 seconds

substitute the values into the formula

[tex]50 = \frac{distance}{300} [/tex]

[tex]50 \times 300 = distance[/tex]

[tex]15000 \: m = distance[/tex]

[tex]distance = 15000 \: m[/tex]

what reactions do catalytic converters catalyze

Answers

A catalytic converter is an exhaust emission control device that reduces toxic gases and pollutants in exhaust gas from an internal combustion engine into less-toxic pollutants by catalyzing a redox reaction (an oxidation and a reduction reaction).

Joey wrapped a wire around an iron bolt then connected the ends of the wire to a battery forming a complete circuit. What must have occurred as a result?
(A) The energy in the circuit was lost.
(B) The bolt was magnetized.
(C) The bolt started spinning.
(D) Nothing happened because there was no device.

Answers

Answer:

(B) The bolt was magnetized.

Explanation:

(B) The bolt was magnetized.

this is an area where two tectonic plates move towards each other with one going under the other plate?

Answers

Answer:Convergent boundaries are areas where plates move toward each other and collide. These are also known as compressional or destructive boundaries. Subduction zones occur where an oceanic plate meets a continental plate and is pushed underneath it. Subduction zones are marked by oceanic trenches.

pLS THANK ME AND VOTE ME BRAINLIEST ME

Explanation:

4. What factors contribute to a random distribution pattern? Why do animals
not maintain this distribution pattern year round?
1

Answers

Answer:

Random distribution may result when resources are equally distributed and are not scarce. As breeding brings individuals together, random distribution is not maintained year round.

When resources are readily available and evenly distributed, random distribution may occur. The random dispersion of individuals is not maintained year-round, since breeding brings people together.

What contribute random distribution pattern in animals?

In environments with stable resources and environmental circumstances, random dispersion typically occurs. This pattern of dispersion is unique in that there are no substantial social contacts between species.

On land and in the water, animals are not equally dispersed. Climate zones or in all the confinements is known as Continuous Distribution, and such species of animals are known as Eurytopic Animals.

They are constrained to certain locations by a number of criteria such as food, shelter, and climate.

Therefore, The absence of any significant social interactions between species is what distinguishes this pattern of dispersion.

Learn more about animals here:

https://brainly.com/question/12985710

#SPJ2

Gravity can be described as (2 points)
O a magnetic force found in nature
O the force that moves electrical charges
O the force that repels object with like charges
O the force of attraction between two objects

Answers

Hello the correct answer is:
The force of attraction between two objects

Hope this helped
The force of attraction between two objects, i found the answer on the website: starchild.gsfc.nasa.gov

Which diagram has a greater gravitational force

Answers

Answer:

2

Explanation:

Due to the fact that the gravitational force is inversely proportional to the mass of the two interacting objects, heavier objects will be drawn together by a stronger gravitational attraction. As a result, the gravitational pull between two objects grows as their respective masses rise.

What mass has a greater gravitational force?

Since the gravitational force is exactly proportional to the mass of both interacting objects, heavier items will be attracted by stronger gravitational forces. Therefore, the gravitational attraction between two objects grows as their respective masses do as well.

The attraction created by gravity is between masses. The gravitational force, commonly known as the gravity force, increases with the size of the masses. With an increase in the distance between masses, the gravitational pull rapidly lessens.

Therefore, second have greater gravitational force.

Learn more about gravitational force here:

https://brainly.com/question/12528243

#SPJ2

Hiii :( this is the second question and not making sense to me at all please help <3 it’s due soon

Imagine a linear regression line that fits the data below on temperature and it’s correlation to clothes sales. What is the equation for your regression line?

Answers

Answer:

Socratic app

Explanation:

it will help you

How much water is displaced by a solid object with a volume of 9 cm3 that is completely submerged in the water?

Answers

Given :

An object with a volume of 9 cm³ is completely submerged in the water.

To Find :

How much water is displaced by the object.

Solution :

According to Archimedes' principle, the amount of volume displaced of fluid when an object is fully and partially submerged into that is equal to the volume of the object below the surface of liquid.

Now, it is given that object is fully submerged into water.

Therefore, volume of water displaced by the object is 9 cm³.

What conclusion can you draw from the information shown in the graph?
O A. Global temperatures are increasing due to human activity.
B. Earth is currently experiencing a period of global warming.
O C. Temperature is the only aspect of climate that is changing.
O D. Global temperatures are increasing due to natural causes.

Answers

Answer:

The correct option is;

B. Earth is currently experiencing a period of global warming

Explanation:

From the graph, we have;

1) From 1880 to 1900 the temperature anomaly (°C) averages a few degrees below the average surface temperature

2) The decrease below the average surface temperature is larger from  1900 to 1920

3) The surface temperature rises more steadily from below average to a little above average from 1920 to 1940

4) Between 1940 to 1980, the temperature hovers around the average surface temperature

5) The Earth's surface temperature is more or less steadily increasing from 1960 to present

Therefore, the Earth is experiencing a period of global warming

how many elements does lythium have

Answers

Answer:

three 3

Explanation:

Using the information given, find the number of Electrons of the unknown element: 6 PROTONS, 6 NEUTRONS, 12 ATOMIC MASS​

Answers

Answer:

the answer is 24 you are correct

Explanation:

A bus traveled at a constant speed of 80 km/h. How long did it take the bus to travel 40 km?

Answers

Answer:

1/2 hours

Explanation:

The formula for speed is given as;

s= d/ t -----where

s is speed ,  80 km/h

d is distance , 40 km

t is time = ?

Making t is subject of the formula;

t= d/s

Using the values given

t= 40 / 80

t= 1/2 hours

starting from rest has and acceleration 0.3 m/s , calculate the velocity and distance travelled by a car after 2 minutes.​

Answers

Answer:

[tex]v(t=120)=36m/s\\\\d(t=120)=2160 m[/tex]

Explanation:

t=2minutes = 120 seconds:

t=120s

a=0,3m/s²

The cart starting from rest, then: vo=0m/s

We know that:

[tex]v(t)=vo+at[/tex]

[tex]v(t)=0,3t[/tex]

After t=120 s the velocity are:

[tex]v(120)=0,3*120\\v(120)=36m/s[/tex]

We know that:

[tex]d(t)=do+vo*t+\frac{a}{2}*t^{2}[/tex]

vo=0m/s

do=0m/s

The distance after t=120s are:

[tex]d(120)=0,3*\frac{120*120}{2} \\d(120)=36*60\\d(120)=2160 m[/tex]

A wire of resistance R is cut into ten equal parts which are then connected in parallel. The equivalent resistance of the combination is

Answers

Answer:

The equivalent resistance of the combination is R/100

Explanation:

Electric Resistance

The electric resistance of a wire is directly proportional to its length. If a wire of resistance R is cut into 10 equal parts, then each part has a resistance of R/10.

Parallel connection of resistances: If R1, R2, R3,...., Rn are connected in parallel, the equivalent resistance is calculated as follows:

[tex]\displaystyle \frac{1}{R_e}=\frac{1}{R_1}+\frac{1}{R_2}+\frac{1}{R_3}+...+\frac{1}{R_n}[/tex]

If we have 10 wires of resistance R/10 each and connect them in parallel, the equivalent resistance is:

[tex]\displaystyle \frac{1}{R_e}=\frac{1}{R/10}+\frac{1}{R/10}+\frac{1}{R/10}...+\frac{1}{R/10}[/tex]

This sum is repeated 10 times. Operating each term:

[tex]\displaystyle \frac{1}{R_e}=\frac{10}{R}+\frac{10}{R}+\frac{10}{R}+...+\frac{10}{R}[/tex]

All the terms have the same denominator, thus:

[tex]\displaystyle \frac{1}{R_e}=10\frac{10}{R}=\frac{100}{R}[/tex]

Taking the reciprocals:

[tex]R_e=R/100[/tex]

The equivalent resistance of the combination is R/100

Which tool can easily separate sand and iron filings?
O oil
O magnet
O water

Answers

Answer:

A magnet would be the answer

The answer would be a magnet because iron is magnetic, the other two options are not.

12. What is the photoelectric effect, and what experimental evidence led scientists
to discover it? Does this support the wave or particle theory of light? Why?

Answers

Answer:

Photoelectric effect, phenomenon in which electrically charged particles are released from or within a material when it absorbs electromagnetic radiation.

Explanation:

The effect is often defined as the ejection of electrons from a metal plate when light falls on it. In a broader definition, the radiant energy may be infrared, visible, or ultraviolet light, X-rays, or gamma rays; the material may be a solid, liquid, or gas; and the released particles may be ions (electrically charged atoms or molecules) as well as electrons. The phenomenon was fundamentally significant in the development of modern physics because of the puzzling questions it raised about the nature of light—particle versus wavelike behaviour—that were finally resolved by Albert Einstein in 1905. The effect remains important for research in areas from materials science to astrophysics, as well as forming the basis for a variety of useful devices.

The emission of electrons from the surface of a metal by the action of light is called photoelectric effect. This phenomenon indicates the behavior of light as particles called photons.

What is photoelectric effect ?

The phenomenon of ejection of electrons from the surface of a metal when light of a suitable frequency falls on it is called photoelectric effect. Upon striking the surface of metals , light can set up an electric current which current which corresponds to the flow of electrons. This phenomenon is discovered by Einstein

For instance, visible light can cause ejection of electrons from the surface of metal like cesium which has low ionization enthalpy. This phenomenon is related to the observation that if light is considered as particles.

The particles of light is then called as photoelectrons or photons. Photoelectric effect find application in photoelectric cells used in colorimetry, spectrophotometers etc.

Find more on photoelectric effect:

https://brainly.com/question/26465043

#SPJ6

Which of the following determines and objects ability to float in water

Atomic number

Mass and volume

Displacement in a liquid

Mass and gravity

Answers

I think its
Mass and volume

When wax is heated, it turns into a liquid. How are the wax molecules affected by this change of state?

The molecules gain energy
The molecules lose energy
The molecules move closer to one another
The space between the molecules increase
The space between the molecules decrease

Answers

Answer:

the CORRECT answer is the "molecules gain energy" because with heating comes energy transferring into the wax molecules. and "the space between the molecules increases" because the molicules will want to space apart because of the heat

Explanation:

Answer: the molecules gain energy, The space between the molecule increases

Explanation:

i got the sauce (plato)

please help me!! will mark brainliest

Answers

You draw it with a pencil I just did this

a plane travels West for a distance of 750 km the trip takes 45 minutes calculate the planes velocity in terms of km/hr

Answers

If you divide the distance by the time, your answer will be 16.7 km/hr

A 54\,\text {kg}54kg54, start text, k, g, end text pig runs at a speed of 1.0\, \dfrac{\text m}{\text s}1.0 s m ​ 1, point, 0, start fraction, start text, m, end text, divided by, start text, s, end text, end fraction.

Answers

Answer:

Following are the solution to this question:

Explanation:

In this question, some of the information is missing that's why its solution can be defined as follows:

[tex]v= 0\\\\u= 1.0 \frac{m}{s} \\\\s= 1\\\\m= 54 \ kg\\[/tex]

Using formula:

[tex]\to v^2-u^2=2\cdot a\cdot s \\\\\to 0^2 - 1.0^2= 2 \cdot a \cdot 1\\\\\to - 1=2a\\\\\to a= -\frac{1}{2} \ \frac{m}{s^2}\\\\ \to \bold{F= m\cdot a}\\\\[/tex]

[tex]=54 \times - \frac{1}{2}\\\\= -27\ N[/tex]


PLEASE ANSWER, I HAVE 5 MINUTES!!!!

Discuss the changes in potential energy, kinetic energy, and total energy for a
skateboarder going up and down on a half-pipe (U-shaped) ramp. Specifically address
the energies when the skater is at the highest point (A), half-way down the ramp (B),
and at the lowest point (C).

Answers

Answer:

I HAD THE SAME QUESTION AND SEARCHED IT UP AND GOT THE ANSWERS.

Explanation:

50 Points!
1. How does the speaker know that the lump of metal she is holding is an asteroid?
2. How does the speaker “hunt” asteroids? Describe how teams of scientists collect data about asteroids.
3. Both speakers describe the asteroid that hit Earth and caused a massive extinction, including the decimation of the dinosaurs. The speakers describe the size of this asteroid in different terms. Summarize each speaker’s description and explain which one gives you a better picture of the size of this asteroid.
4. Does Carrie Nugent agree with Phil Plait’s assessment that we can defend the Earth from asteroids? Why or why not?

Answers

Answer:

How does the speaker know that the lump of metal she is holding is an asteroid?  

The patterns formed inside the metal She explains that the rock is older the earth and that it is an asteroid due to the patterns formed inside it that show it contains metallic crystals that cannot be formed on earth but in space where temperatures mean that molten metal takes billions of years to cool.  

How does the speaker “hunt” asteroids? Describe how teams of scientists collect data about asteroids.  

The speaker works with astroids she attempts to search for them for scientific use. She analyzes how long ago these rocks were coming acrost the earth. How many are in the universe.  

Both speakers describe the asteroid that hit Earth and caused a massive extinction, including the decimation of the dinosaurs. The speakers describe the size of this asteroid in different terms. Summarize each speaker’s description and explain which one gives you a better picture of the size of this asteroid.  

Debris from the impact orbiting around the Earth shielded sunlight, halting photosynthesis.  

The impact was so extreme that life at ground zero was vaporized.  

tsunamis, landslides, earthquakes, and heat caused by the impact killed organisms near the site of impact.  

Does Carrie Nugent agree with Phil Plait’s assessment that we can defend the Earth from asteroids? Why or why not?  

It seems as if she does agree. I believe she has strong intentions to defend the earth and to prevent there to be any more extinction for any more animals I believe she cares to explore and recover so if she could find a way to use the asteroids to her advantage she would.

Explanation:

6. How does the speaker know that the lump of metal she is holding is an asteroid?

- The speaker knows that the lump of metal she is holding is an asteroid because the patterns formed inside the metal. She explains that the rock is older than the earth and that it is an asteroid. This is due to the patterns formed inside it. These patterns show that it contains metallic crystals that cannot be formed on earth, but instead in space where temperatures mean that molten metal takes billions of years to cool.  The scientists also use representative sampling. This is done when they deal with such large quantities of objects for estimating.

7. How does the speaker “hunt” asteroids? Describe how teams of scientists collect data about asteroids.

- The speaker “hunts” for asteroids by attempting to search for them for scientific use. She analyzes how long ago these rocks were coming across the earth and how many are in the universe.  She also is classifying them by color and shape. Some of the objects can be classified into one or more categories and this could lead to disagreements on where they should or should not be listed. Also, the objects can be difficult to see properly.

8. Both speakers describe the asteroid that hit Earth and caused a massive extinction, including the decimation of the dinosaurs. The speakers describe the size of this asteroid in different terms. Summarize each speaker’s description and explain which one gives you a better picture of the size of this asteroid.

- The asteroid hit at high velocity and effectively vaporized. It made a huge crater, so in the immediate area there was total devastation. A huge blast wave and heatwave went out and it threw vast amounts of material up into the atmosphere. 'It sent soot travelling all around the world.

9. Does Carrie Nugent agree with Phil Plait’s assessment that we can defend the Earth from asteroids? Why or why not?

- I would say that it seems to me as though she does agree. I believe she has strong intentions to defend the earth and to prevent any more extinctions for any more animals. I believe she cares to explore and recover in order to hopefully help find a way to use asteroids to her advantage. On top of that, the object shown is an Irregular galaxy. This can be determined by the fact it has an irregular shape.

Shuffling your feet across the floor as you walk is an example of
A) charging by friction
B) induction
C) static discharge
D) conduction
E) none of the above

Answers

Answer:

i think a

Explanation:

Shuffling your feet across the floor as you walk is an example of charging by friction. The correct option is A.

What is friction?

The force preventing sliding against one another of solid surfaces, fluid layers, and material components is known as friction.

There are various kinds of friction: Two solid surfaces in touch are opposed to one another's relative lateral motion by dry friction.

Frictional force is the force produced when two surfaces slide against and touch each other.

The surface texture and amount of force needing them together have the biggest an impact on these forces. The amount of frictional force is influenced by the object's position and angle.

As an illustration of how charge is transferred via friction, consider walking over a carpet.

Thus, the correct option is A.

For more details regarding friction, visit:

https://brainly.com/question/13000653

#SPJ5

What are natives from Cambodia called

Answers

Answer:

Khmer people make up 90% of the Cambodian population, followed by Vietnamese (5%), with the balance being Chinese, Cham (mostly a muslim people) and indigenous ethnic groups sometimes called Khmer Loeu

Explanation:

Answer:

Khmer

Explanation:

What current passes through a 1 kW heater with 25 V across it?

Answers

Answer:The voltage V in volts (V) is equal to the current I in amps (A) times the resistance R in ohms (Ω): V (V) = I (A) × R (Ω) The power P in watts (W) is equal to the voltage V in volts (V) times the current I in amps (A): P (W) = V (V) × I (A) AC Ohm's law calculator.

Explanation:

40 ampere current passes through a 1 kW heater with 25 Voltage across it.

What is voltage?

The difference in electric potential between two places is known as voltage, often referred to as electric pressure, electric tension, or potential difference. It relates to the amount of labor required to transfer a test charge between two places in a static electric field.

Given that power of the source is 1 kW and voltage is 25 V

current is given as,

Power = Voltage*Current

1kW = 25*Current

Current = 1000/25 = 40 ampere.

40 ampere current passes through a 1 kW heater with 25 Voltage across it.

To learn more about voltage refer to the link:

brainly.com/question/13521443

#SPJ5

All of the following processes are the ones that lead directly to the formation of sedimentary rock EXCEPT-
deposition of rock fragments.
O
freezing of water in cracks in rock.
o
melting of rock deep underground.
movement of wind that carries earth material.

Answers

Answer:

melting of rock deep underground.

Explanation:

The melting of rocks deep underground does not produce sedimentary rocks. Most igneous rocks are produced by this process.

When molten rocks underground called magma is solidified in the subsurface, it results into the formation of igneous bodies.

Sedimentary rocks forms by the accumulation of sediments. Inside the basin where the sediments are deposited, they are compacted, cemented and lithified. Chemical and physical weathering of rocks produces sediments.

How can we transfer a table of motion data into a line graph?

Answers

Answer:

A table of motion (for a moving object) usually is something like:

Time I Position:

0s           1m

1s            3m

2s           5m

etc...

Where time is the independent variable and position represents the position of the object at that given time.

We can think in these points as coordinate pairs, for example, we can wrote these 3 pairs as:

(0s, 1m)

(1s, 3m)

(2s, 5m)

Now that we have these points, we can go to a coordinate plane and find these points

(The time would be on the horizontal axis, and position in the vertical axis)

Once you found the points, to complete the graph you need to find a line that connects the points.

An example of this is shown below, where the points used are the ones above, and the line should be straight.

Other Questions
can u help me find the answer quickly What evidence supports the idea that the friendship between Jackie Robinson and Pee Wee Reese became a narrative of hope in the fight against racial injustice? (from Achieve 3000) do you think the students really should not have a face to face class? why or why not? If f(x) = 7-2x , find [f(3)+6] ^2 40 POINTS WILL GIVE BERAINLESTTry PLEASE, I don't like absurd answersThank you:) Abby sold 152 copies of a CD she made for $13.99 each. If she earns 33% profit from each CD,about how much profit will she earn in all? A die is rolled 200 times with the following results.Outcome123456Frequency323644203038What is the experimental probability of rolling the given result?a prime numbera.0.45c.0.71b.0.55d.0.73Please select the best answer from the choices providedABCD An opportunity cost is thevalue of the best alternative given upvalue of all alternatives given upO value gained by your top choiceNAIS QUESTIONASK FOR HELP what are the function of the base and arm of the microscope A table of values for the exponential function f (x) is shown what is the exponential function that it represents What was the name of the first acting company Shakespeare worked? Jenna has already cycled 8 kilometers this year,plus she plans to cycle 2 kilometers during each trip to work.Write an equation that shows the relationship between the number of trips to work t and the total distance cycled d. 3. What is it called when water vapor is evaporated from plant surfaces? *TranspirationRespirationPhotosynthesisAll of the above a ball has the speed of 4.0 m/s and a kinetic energy of 16 joules. what is the mass of the ball? Rearrange the equation so M is the independent variable [tex]-2m-5n=7m-3n[/tex] [tex]n=[/tex] Please help solve this. (Answer is not 80) A dress that costs r dollars is on sale for 25% off. Which expressions represent the sale price, in dollars, of thedress? Select all that apply.A 0.252B0.752C 1.252D 2(1 0.25)E2 - 0.25F -0.752 A right triangle has a hypotenuse of length 13 in. and a leg with length 4 in. What is the length of the other leg? What is the most accurate conclusion that readers can draw from these lines in the selection from "Song of Myself'? I celebrate myself, and sing myself, And what I assume you shall assume, For every atom belonging to me as good belongs to you. A. Whitman believes that he is an epic hero.B. Whitman views humanity as an epic hero C. Whitman has a great appreciation for science.D Whitman thinks that he writes superior poetry Helpppppppppppppppppppppp