Assuming the average rate of heat energy flowing outwards from earth to be 0.063 W/m2 calculate the energy available at a hot spot in Wyoming which has diameter of 8m. If the efficiency of conversion of this energy to electricity is 50% then calculate the electricity generation capacity in kWh for a period of one year. If the cost of producing 1kWh of energy is $0.12 is it worth producing electricity from this source

Answers

Answer 1

Answer:

"13.48 Kwhr" is the right solution.

Explanation:

The given values are:

Average rate of heat energy,

= 0.063 W/m²

Diameter,

= 8m

Efficiency of conversion,

= 50%

Now,

The area of hotspot will be:

⇒  [tex]A=\frac{\pi}{4} d^2[/tex]

On substituting the values, we get

⇒      [tex]=\frac{3.14}{4} (8)^2[/tex]

⇒      [tex]=0.785\times 64[/tex]

⇒      [tex]=50.24 \ m^2[/tex]

Total heat generation rate will be:

⇒  [tex]Q=q\times A[/tex]

        [tex]=0.063\times 50.24[/tex]

        [tex]=3.16 \ W[/tex]

hence,

The electricity generation capacity will be:

⇒  [tex]P=\eta Q t[/tex]

On substituting the values, we get

⇒      [tex]=0.5\times 3.16\times 8760[/tex]

⇒      [tex]=13840.8 \ Whr[/tex]

On converting into Kwhr, we get

⇒      [tex]=13.84 \ Kwhr[/tex]


Related Questions

Light with a wavelength of 600 nm shines onto a single slit, and the diffraction pattern is observed on a screen 2.5 m away from the slit. The distance, on the screen, between the dark spots to either side of the central maximum in the pattern is 25 mm. (a) What is the distance between the same dark spots when the screen is moved so it is only 1.5 m from the slit

Answers

Answer:

"6.67 mm" is the right solution.

Explanation:

The given values are:

L = 2.5 my = .0125λ = 600 nm

As we know, the equation

⇒  [tex]\frac{y}{L} =\frac{x \lambda}{a}[/tex]

On substituting the values, we get

⇒  [tex]\frac{.0125}{2.5}=\frac{(1)(600\times 10^{-9}) }{a}[/tex]

On applying cross multiplication, we get

⇒  [tex].0125a=2.5 (600\times 10^{-9})[/tex]

⇒          [tex]a=\frac{2.5(600\times 10^{-9})}{.0125}[/tex]

⇒             [tex]=1.2\times 10^{-4} \ m[/tex]

For new distance, we have to put this value of "a" in the above equation,

⇒  [tex]\frac{y}{1.5} =\frac{(1)(600\times 10^{-9})}{1.2\times 10^{-4}}[/tex]

⇒  [tex](1.2\times 10^{-4})y=1.5(600\times 10^{-9})[/tex]

⇒                     [tex]y=\frac{1.5(600\times 10^{-9})}{1.2\times 10^{-4}}[/tex]

⇒                        [tex]=3.22\times 10^{-3} \ m[/tex]

The total distance will be twice the value of "y", we get

=  [tex]6.67\times 10^{-3} \ m[/tex]

or,

=  [tex]6.67 \ mm[/tex]


A student rubbed two balloons with a piece of wool. What will happen when the balloons are
brought near each other?

Attract
Repel

Answers

Answer:

# ICSE board exam 2021

Explanation:

# ICSE board exam 2021

# ICSE board exam 2021

# ICSE board exam 2021

what happens to the work done when a force is doubled and the distance moved remain the same?​

Answers

Answer:

It is doubled

Explanation:

f2=2f1

x1=x2=x

W1=f1*x1=f1*x

W2=f2*x2=f2*x=2*(fi*x)=2*W1

FREE BRAINIEST IF YOU ANSWER THIS


How long must a 400 W electrical engine work in order to produce 300 kJ of work?

Answers

The watt is a rate, similar to something like speed (miles per hour) and other time-interval related measurements.

Specifically, watt means Joules per Second. We are given that the electrical engine has 400 watts, meaning it can make 400 joules per second. If we need 300 kJ, or 3000 Joules, then we can write an equation to solve the time it would take to reach this amount of joules:

w * t = E

w: Watts

t: Time

E: Energy required

(Watts times time is equal to the energy required)

Input our values:

400 * t = 3000

(We need to write 3000 joules instead of 300 kilojoules, since Watts is in joules per second. It's important to make sure your units are consistent in your equations)

Divide both sides by 400 to isolate t:

[tex]\frac{400t}{400}[/tex] = [tex]\frac{3000}{400}[/tex]

t = 7.5 (s)

It will take 7.5 seconds for the 400 W engine to produce 300 kJ of work.

If you have any questions on how I got to the answer, just ask!

- breezyツ

The 400 W electrical engine must work for 12 minute 30 second in order to produce 300 kJ of work.

What is power?

The quantity of energy moved or converted per unit of time is known as power in physics. The watt, or one joule per second, is the unit of power in the International System of Units. Power is also referred to as activity in ancient writings. A scalar quantity is power.

Power of the electrical engine = 400 Watt.

Work done by the electrical energy = 300 kJ

= 300 × 1000 Joule

= 300000 Joule.

Now from the definition of power:

Power = Work done/time interval

Hence, required time interval = work done/ power

= 300000 Joule/400 watt

= 750 second

= 12 minute 30 second.

Hence,  a 400 W electrical engine must work for 12 minute 30 second in order to produce 300 kJ of work.

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A heat pump with a COP of 3.0 is used to heat air contained in a 1205.4 m3 of well-insulated, rigid tank. Initially the pressure and the temperature inside the gas tank are 100 kPa and 7 oC, respectively. When running, the heat pump consumes 5 kW of electric power. How long does it take for the heat pump to raise the temperature of air in the tank to 22 oC

Answers

Answer:

ffff

Explanation:

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A 45.0-kg girl is standing on a 168-kg plank. The plank, originally at rest, is free to slide on a frozen lake, which is a flat, frictionless surface. The girl begins to walk along the plank at a constant velocity of 1.55 m/s to the right relative to the plank.

Required:
What is the velocity of the plank relative to the surface of the ice?

Answers

Answer:

The speed of the plank relative to the ice is:

[tex]v_{p}=-0.33\: m/s[/tex]

Explanation:

Here we can use momentum conservation. Do not forget it is relative to the ice.

[tex]m_{g}v_{g}+m_{p}v_{p}=0[/tex] (1)

Where:

m(g) is the mass of the girlm(p) is the mass of the plankv(g) is the speed of the girlv(p) is the speed of the plank

Now, as we have relative velocities, we have:

[tex]v_{g/b}=v_{g}-v_{p}=1.55 \: m/s[/tex] (2)

v(g/b) is the speed of the girl relative to the plank

Solving the system of equations (1) and (2)

[tex]45v_{g}+168v_{p}=0[/tex]

[tex]v_{g}-v_{p}=1.55[/tex]

[tex]v_{p}=-0.33\: m/s[/tex]

I hope it helps you!      

A player kicks a football from ground level with an initial velocity of 27.0 m/s, 30.0° above the Horizontal. Find the distance the ball travels before it hits the ground.

Answers

Answer:

The horizontal distance traveled by the ball before it hits the ground is 64.42 m.

Explanation:

Given;

initial velocity, u = 27.0 m/s

angle of projection, θ = 30⁰

The horizontal distance traveled by the ball before it hits the ground is known as Range;

[tex]Range = \frac{u^2 sin(2\theta)}{g} \\\\Range = \frac{(27^2)sin(2 \times 30)}{9.8} \\\\Range = 64.42 \ m[/tex]

Therefore, the horizontal distance traveled by the ball before it hits the ground is 64.42 m.

When tectonic plates converge, they are most likely to form....

Answers

Answer:

Explanation : if two tectonic plates collide, they form a convergent plate boundary. Usually, one of the converging plates will move beneath the other, a process known as subduction. Deep trenches are features often formed where tectonic plates are being subducted and earthquakes are common.

Answer:

a trench

Explanation:

A car, initially at rest, travels from 0 m/s to 17.7 m/s in 21.7 s. What is the car's acceleration?

Answers

A car, initially at rest, travels from 0 m/s to 17.7 m/s in 21.7 s. What is the car's acceleration? A Moving to the next question prevents changes to this answer.

The brightness of a star depends on what
two things?
A. age and color
B. temperature and age
C. size and age
D. size and temperature

Answers

It’s D size and temperature

IM BEGGING ILL GIVE BRAINLEST PLEASEEEEEEE HELP ME Distance and amount of charge are factors that determine which of the
following quantities?
A. Electrostatic force
B. Electric potential
C. Electric potential energy
D. All of the above

Answers

Explanation:

Distance and amount of charge are factors that determine which of the

following quantities?

D. All of the above

In Milgram's experiment:

A. Yale University would not allow the experiment to be done.

B. participants overwhelmingly did not go all the way to 450 volts.

C. the "learner" was working with Milgram.

D. the "teacher" was working with Milgram.

Answers

Answer:

B. The "Learner" was working with Milgram.

Explanation:

just took the test

give brainliest, please. :)

A Or b
Question in picture

Answers

Answer:

the answer to the question is indeed B

answer is b!!!!!!!!!!!

1.00 x 10^3 kg of clear liquid (specific heat
capacity = 5.11 x 10^2 J/kg-°C) at a temperature
of 15.0°C gains 3.33 x 10° J of heat. What is the
final temperature of the liquid? (Assume the
melting point is less than 15.0°C and the boiling
point is greater than 62.0°C.)

Answers

Answer:

15.00000652 °C

Explanation:

From the question,

Q = cm(t₂-t₁)................ Equation 1

Where Q = heat gained by the liquid, c = specific heat capacity of the liquid, m = mass of the liquid, t₁ = Initial Temperature of the liquid, t₂ = Final temperature of the liquid.

Given: Q = 3.33 J, c = 511 J/kg°C, m = 1000 kg, t₁ = 15°C

Substitute these values into equation 1 and solve for t₂

3.33 = 511×1000(t₂-15)

3.33 = 511000(t₂-15)

(t₂-15) = 3.33/511000

(t₂-15) = 0.0000065

t₂ = 15+ 0.0000065

t₂ = 15.00000652 °C

What does the balloon of the air capacitor represent in an electrical capacitor?

Answers

Answer:

The balloon prohibits the flow of air through the air capacitor.

Explanation:

Just like an electric capacitor has an insulator between the plates, the air capacitor has a balloon between the chambers.

The balloon analogy is frequently used in electrical capacitors to assist visualise the notion of the capacitor's behaviour.

The balloon illustrates the capacitor's physical structure, specifically the two conducting plates and the dielectric material between them.

The capacitor's stored energy is equivalent to the air pressure within the balloon. When the voltage is withdrawn, the stored charge is released, and the capacitor returns to its uncharged condition, exactly as the balloon deflates when the air exits.

The balloon analogy aids in understanding how a capacitor stores electrical energy in its electric field and how that energy may be released when linked to a circuit.

Thus, it depicts the relationship between a capacitor's voltage, charge, and capacitance.

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3. A ball thrown vertically upward returns to its starting point in 4s. Find its initial speed. [4]

Answers

Answer:

9.8 ×4 equal 39.2 m/s This is v intial

A 0.156-kg ball is hung vertically from a spring. The spring stretches by 4.18 cm from its natural length when the ball is hanging at equilibrium. A child comes along and pulls the ball down an additional 5cm, then lets go. How long (in seconds) will it take the ball to swing up and down exactly 4 times, making 4 complete oscillations before again hitting its lowest position

Answers

Answer:

The answer is "[tex]=2.72 \ seconds \\\\[/tex]"

Explanation:

Using formula:

[tex]kr=mg \\\\k=\frac{0.156 \times 9.8}{0.418}\\\\[/tex]

  [tex]=3.65741627\ \frac{N}{M}\\\\=3.65\ \frac{N}{M}\\\\[/tex]

Calculating the time period:

[tex]T=2\pi \sqrt{\frac{m}{k}}\\\\[/tex]

   [tex]= 2 \pi \sqrt{\frac{0.156}{3.65}}\\\\= 2 \times 3.14 \sqrt{\frac{0.156}{3.65}}\\\\= 6.28 \sqrt{\frac{0.156}{3.65}}\\\\=6.28 \times 0.108210508\\\\=0.67956199\\\\=0.68\\\\[/tex]

The time to calculating the 4 oscillation:

[tex]\to 4T=4\times 0.68 =2.72 \ seconds \\\\[/tex]

The time taken by the spring to complete 4 complete oscillations will be t=2.72 sec

What are oscillations?

Oscillation is the process of repeating variation of the quantity or the recitative or periodic variations with respect to the time.

Here it is given that

mass =0.156 kg

stretch x= 4.18 cm

Now from the formula

[tex]kx=mg[/tex]

[tex]k= \dfrac{0.156\times 9.81}{0.418}[/tex]

[tex]k=3.65\ \frac{N}{m}[/tex]

Now the time period will be calculated as:

[tex]T=2\pi\sqrt{\dfrac{m}{k}[/tex]

[tex]T=2\pi\sqrt{\dfrac{0.156}{3.65}[/tex]

[tex]T=6.28\times 0.108210508[/tex]

[tex]T=0.68\ sec[/tex]

Now for the 4 oscillations the total time will be

[tex]T=4\times 0.68=2.72\ sec[/tex]

Hence the time taken by the spring to complete 4 complete oscillations will be t=2.72 sec

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Which of the following is an example of charging by friction?

Answers

Answer: where is the examples?

Explanation:

Please upload a photo

People travel from all over the world to see more than 30 glaciers at Glacier National Park in Alaska.
Which factor causes glacial movement downhill?

A. gravity
B. oceans
C. snow
D. wind

Answers

The answer I believe is c
Explanation
During the day when temperatures are higher, the snow melts and water enters the cracks in the rock. When the temperature drops below 0°C the water in the crack freezes and expands by about 9 per cent. This makes the crack larger.
The answer is c

Glaciers move by sliding over bedrock or underlying gravel and rock debris. With the increased pressure in the glacier because of the weight, the individual ice grains slide past one another and the ice moves slowly downhill.

PLEASE HELPPPPPP <333​

Answers

Answer:

Explanation:

The answer is C  i think

I think the answer is c

A man stands by a railway track.
A train travelling at 40 m/s takes 2.0 s to pass the man.
What is the length of the train?
40 m
D
80m
A 20m
B 38 m

Answers

Answer:

length of train is 80m

Explanation:

40*2

The light ray is traveling from Acrylite into air. The refractive index for air is 1.00. If the angle of incidence and the angle of refraction are known, how could you determine the refractive index of Acrylite?

Answers

Answer:

Refraction. A light ray traveling through some plastic has a frequency of 5.5 x 1014 Hz. It is ... making an angle of 32° with the normal to the interface; it passes through the ... [5 points] (a) What is the refractive index of the glass? ... What you do know is the wavelength of the light in glass, 321 nm, and you know the frequency.

Explanation:

The refractive index of Acrylate is determined as: ratio of sine of incident angle to  sine of refractive angle.

What is Snell's law?

The relationship between the angles of incidence and refraction for light or other waves flowing through a border between two different isotropic media, such as water, glass, or air, is described by Snell's law, a formula.

The amount a light ray bends as it travels through different media is measured by the refractive index.

Given that: The refractive index for air is 1.00.

Let the angle of incidence from medium air to Acrylate  is = i

the angle of refraction  from medium air to Acrylate  is = r.

Let the refractive index  for Acrylate  = n.

Then according to Snell's law:

1×sini = n× sinr

n = sini/sinr.

Hence,  the refractive index of Acrylate is ratio of sine of incident angle to  sine of refractive angle.

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A baseball was thrown off of a 35 meter high building. It lands 50 meters from the base of the building.

Answers

Wonderful.

Look out below !

Was the FAA notified ?

Black holes result from

Answers

Answer:

supernova explosion or death of massive star

Explanation:

"Most black holes form from the remnants of a large star that dies in a supernova explosion."

What do the different colors of stars tell us?
A. The size of the stars
B. The shape of the stars
C. The temperatures of the stars

Answers

Answer:

It would Be C The temperatures of the stars

Explanation:

The half-life of argon-44 is 12 minutes. Suppose you start with 20 atoms of
argon-44 and wait 12 minutes. How many atoms of argon-44 will be left?
A. 20 atoms
B. 40 atoms
C. 10 atoms
D. 5 atoms
SUBMIT

Answers

Answer:

C.  10

Explanation:

The half-life of argon-44 is 12 minutes, 10 atoms of argon-44 will be left. The correct option is C.

A radioactive substance's half-life is the amount of time it takes for half of the atoms in a sample to decay.

The half-life of argon-44 in this situation is 12 minutes. Starting with 20 argon-44 atoms, half of them will have disintegrated within 12 minutes, leaving 10 atoms.

This happens because radioactive decay is an exponential process with a constant rate of decay. Every half-life cuts the number of atoms in half.

So, if we waited another 12 minutes, half of the remaining 10 atoms would decay, leaving us with 5 atoms. This process is repeated, with half of the remaining atoms dying with each half-life.

Thus, the correct option is C.

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The electric potential at a point in
space is 235 V. If a 0.0485 C
charge is placed there, what will its
potential energy U be?
(Unit = J)

Answers

Answer:

11.3975

Explanation:

Accellus said so

Answer:

11.3975

Explanation:

its for Acellus

Please answer all three answers

Answers

Answer:

I. The rock that has the most kinetic energy is rock 3.

II. Rock 3 has the most kinetic energy because it weighs the highest among the rocks i.e it has the highest amount of mass. Also, the mass of an object is directly proportional to the kinetic energy possessed by the object; the higher the mass, the higher the kinetic energy.

III. Kinetic energy is taking place rather than potential energy because the rocks are in motion i.e rolling down a hill.

Explanation:

Energy can be defined as the ability (capacity) to do work. The two (2) main types of energy are;

a. Gravitational potential energy (GPE): it is an energy possessed by an object or body due to its position above the earth.

b. Kinetic energy (KE): it is an energy possessed by an object or body due to its motion.

Mathematically, kinetic energy is given by the formula;

[tex] K.E = \frac{1}{2}MV^{2}[/tex]

Where;

K.E represents kinetic energy measured in Joules.

M represents mass measured in kilograms.

V represents velocity measured in metres per seconds square.

From the above, we can deduce the following;

I. The rock that has the most kinetic energy is rock 3.

II. Rock 3 has the most kinetic energy because it weighs the highest among the rocks i.e it has the highest amount of mass. Also, the mass of an object is directly proportional to the kinetic energy possessed by the object; the higher the mass, the higher the kinetic energy.

III. Kinetic energy is taking place rather than potential energy because the rocks are in motion i.e rolling down a hill.

B. Exercises
Exercise 1
Direction: identfy the plumbing symbols in each item Write your answer on the space
provided before each number​

Answers

Answer:

please I do not understand that question

What 2 environments once existed where the Grand Canyon is located today?

Answers

The entire park area is considered to be a semi-arid desert, but distinct habitats are located at different elevations along the 8,000-foot elevation gradient. Near the Colorado River, riparian vegetation and sandy beaches prevail.

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