A horizontal pipe contains water at a pressure of 110 kPa flowing with a speed of 1.4 m/s. When the pipe narrows to one half its original diameter, what is (a) the speed and (b) the pressure of the water?

Answers

Answer 1

Answer:

a

  [tex]v_2 = 5.6 \ m/s[/tex]

b

   [tex]P_2 = 80600 \ Pa[/tex]

Explanation:

From the question we are told that  

     The pressure of the water in the pipe is  [tex]P_1= 110 \ kPa = 110 *10^{3 } \ Pa[/tex]

      The speed of the water  is [tex]v_1 = 1.4 \ m/s[/tex]

       The original area of the pipe is  [tex]A_1 = \pi \frac{d^2 }{4}[/tex]

       The  new area of the pipe is  [tex]A_2 = \pi * \frac{[\frac{d}{2} ]^2}{4} = \pi * \frac{\frac{d^2}{4} }{4} = \pi \frac{d^2}{16}[/tex]

         

Generally the continuity equation is mathematically represented as

       [tex]A_1 * v_1 = A_2 * v_2[/tex]

Here [tex]v_2[/tex] is the new velocity  

So

        [tex]\pi * \frac{d^2}{4} * 1.4 = \pi * \frac{d^2}{16} * v_2[/tex]

=>     [tex]\frac{d^2}{4} * 1.4 = \frac{d^2}{16} * v_2[/tex]

=>    [tex]d^2 * 1.4 = \frac{d^2}{4} * v_2[/tex]

=>    [tex]1.4 = 0.25 * v_2[/tex]

=>     [tex]v_2 = 5.6 \ m/s[/tex]

Generally given that the height of the original pipe and the narrower pipe are the same , then we will b making use of the  Bernoulli's equation for constant height to calculate the pressure

This is mathematically represented as

       

             [tex]P_1 + \frac{1}{2} * \rho * v_1 ^2 = P_2 + \frac{1}{2} * \rho * v_2 ^2[/tex]

Here [tex]\rho[/tex] is the density of water with value  [tex]\rho = 1000 \ kg /m^3[/tex]

             [tex]P_2 = P_1 + \frac{1}{2} * \rho [ v_1^2 - v_2^2 ][/tex]

=>          [tex]P_2 = 110 *10^{3} + \frac{1}{2} * 1000 * [ 1.4 ^2 - 5.6 ^2 ][/tex]

=>          [tex]P_2 = 80600 \ Pa[/tex]


Related Questions

Example of kinetic energey

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Answer:

rolling ball down a hill

Explanation:

A rolling ball has kinetic energy

Answer: An airplane has a large amount of kinetic energy in flight becuase of its large mass and fast velocity.

Explanation:

Karla Ayala pulls a sled on an icy road (dangerous!). Because of Karla's pull, the tension force is 151 N, and the rope makes a 20.0° with the horizontal. If the 7.0-kg sled is pulled across 10.0 meters, what is the work done by Karla?

Answers

Answer:

W = 1418.9 J = 1.418 KJ

Explanation:

In order to find the work done by the pull force applied by Karla, we need to can use the formula of work done. This formula tells us that work done on a body is the product of the distance covered by the object with the component of force applied in the direction of that displacement:

W = F.d

W = Fd Cosθ

where,

W = Work Done = ?

F = Force = 151 N

d = distance covered = 10 m

θ = Angle with horizontal = 20°

Therefore,

W = (151 N)(10 m) Cos 20°

W = 1418.9 J = 1.418 KJ

A computational model predicts the maximum kinetic energy a roller coaster car can have given its mass, the speed at the highest point of its journey, and the height of the highest point. The mass is 250 kg, and the highest point of the journey is at 30m, where the cart is at rest. What is the maximum kinetic energy?

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B. 468750 J
C. 0 J
D. 73500 J

Answers

Answer:

D

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The decrease in potential energy is equal to the increase in kinetic energy.

mgh

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Answer:

73,500 J

Explanation:

100% Correct

How do you compare the mass of proton, neutron, and
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Answer:Explanation:

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Name two ways to decrease the electric force between two charged objects.

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Answer:

Inverse relationships are common in nature. In electrostatics, the electrical force between two charged objects is inversely related to the distance of separation between the two objects. Increasing the separation distance between objects decreases the force of attraction or repulsion between the objects.

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Two ways to decrease the electric force between two charged objects:

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As a result of their electric charge, particles or objects are attracted to or repelled by the Coulomb force, also known as electrostatic force or Coulomb interaction. Charles-Augustin de Coulomb, a French scientist who published the findings of an experimental inquiry into the proper quantitative description of this force in 1785, gave the electric force its name. The electric force is one of the fundamental physical forces.

Positive or negative electric charges that are similar to one another repel one another in a straight line between their centers. Positive and negative charges that are opposite each other are drawn together along a straight line connecting their centers.

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What are compounds considered to be

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Answer:A compound is a substance formed when two or more elements are chemically joined.

Explation:Water, salt, and sugar are examples of compounds.

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Leo places a plant in front of the center of curvature of a concave mirror. Which characteristics will the image of the plant have? Check all that apply.

Answers

Answer:

1, 3, 5,

Explanation:

A concave mirror is a hollowed sphere that has been cut into parts, each of which has a painted exterior. The plant's image has the qualities of a real, inverted, and smaller image. So, the correct options are A, C and E.

What is Concave mirror?

A hollow spherical formed into a mirror when the external surface of the each cut portion was painted, reflecting light from the interior surface. This kind of mirror is known as a concave mirror. When the concave mirror is placed too close to the item, a magnified and phoney image results.

This has an inward-curving reflective surface that faces away from the source of light. Light is reflected internally to a single focus point. Headlights on cars and torches are examples of concave mirrors. But, as the distance grows between the object and the mirror, the size of the image reduces and a real image is produced.

Thus, the correct options are A, C and E.

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Your question is incomplete, most probably the complete question is :

Leo places a plant in front of the center of curvature of a concave mirror. Which characteristics will the image of the plant have? Check all that apply.

Real virtual inverted upright smaller larger same size.

Margaret wants to go for a swim, and decides to jump in using the diving board that measures 3-m long.

She initially leaps with a velocity of 8.0 m/s at an angle of 80° to the horizontal.
What are the horizontal and vertical components of her velocity?

please help if you can!

Answers

Answer:

The horizontal component of her velocity is approximately 1.389 m/s

The vertical component of her velocity is approximately 7.878 m/s

Explanation:

The given question parameters are;

The initial velocity with which Margaret leaps, v = 8.0 m/s

The angle to the horizontal with which she jumps, θ = 80° to the horizontal

The horizontal component of her velocity, vₓ = v × cos(θ)

∴ vₓ = 8.0 × cos(80°) ≈ 1.389

The horizontal component of her velocity, vₓ ≈ 1.389 m/s

The vertical component of her velocity, [tex]v_y[/tex] = v × sin(θ)

∴ [tex]v_y[/tex] = 8.0 × sin(80°) ≈ 7.878

The vertical component of her velocity, [tex]v_y[/tex] ≈ 7.878 m/s.

Biker 1 is on a motorcycle facing West is initially at rest. The motorcycle speeds up from rest to 25 mph in three seconds.
Biker 2 is right by his side to start. He speeds up from rest to 85 mph in eight seconds.

Which biker has a greater acceleration?

Answers

Biker 1's acceleration:

(25 mph) / (3 s) = ((25 mi/h) • (1/3600 h/s)) / (3 s) ≈ 0.00231 mi/s²

Biker 2's acceleration:

(85 mph) / (8 s) = ((85 mi/h) • (1/3600 h/s)) / (8 s) ≈ 0.00295 mi/s²

Biker 2 has the greater acceleration.

Question 4 of 10
Which option is a good blackbody radiator?
O A. A lightbulb
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SUBM

Answers

Answer:

A lightbulb

Explanation:

Answer:

Lightbulb

Explanation: got it right

In its American colonies, Spain helped the Catholic Church meet its goal of
finding gold.
gaining territory.
converting people.
achieving glory.
This is from ed please help thank you

Answers

Answer: Converting people

Explanation: In Spanish colonies such as Florida, Spanish moved up into the other states to spread their christianity and were successful with doing so.

Converting people but I’m not sure

I need the answer for both questions plzZz

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Answer:

Im not really sure lemme ask my friend he knows about this subject and when he gives me answer ill edit this

Explanation:

Answer:

i dont even know

Explanation:

I just dont know

Force towards the center of the earth
A. force caused by gravity/weight force

B. Normal force

C. Friction force

D. Tension force

E. Applied force

Answers

Answer:

answer is C

Explanation:

i just took the test

a 5 kg object is pushed with a 10 n force for 1 second how much will the momentum of the object change?

Answers

Answer:

5 kg m/s

Explanation:

Because you need 5 N to push a 5 kg object so 5 will be left over

i'll give brainliest!!! please help asap!!!

Which of the following electromagnet will have the strongest force?
1: A battery with no loops or wire around the nail
2: A battery with 10 loops of wire around the nail
3: A battery with 3 loops of wire around the nail
4:A battery with 15 loops or wire around the nail

Answers

Answer:

4:A battery with 15 loops or wire around the nail

Explanation:

More loops equals more force

A battery with [tex]15[/tex] loops or wire around the nail have the stronger force.

So, option 4 is correct.

Define electromagnet.

An electromagnet is a system that contains of a magnetic encircled by a coil that conducts an electric current to ionize the core.

Wherever controllable magnetism are required, such as in devices where the magnetic flux must be adjusted, reversed, or turned on and off, an electromagnet is utilized.

A battery with [tex]15[/tex] loops or wire around the nail have the stronger force.

So, option 4 is correct.

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how is an echo like a reflection?

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Answer:

Echoes. An echo is a sound that is repeated because the sound waves are reflected back. Sound waves can bounce off smooth, hard objects in the same way as a rubber ball bounces off the ground. Although the direction of the sound changes, the echo sounds the same as the original sound.

Explanation:

yea it is, an echo bounces off of surfaces

If a 50kg boulder is 100m off the ground and a 25 kg boulder is 100 m off the ground, which has a
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Answer:

Explanation:

It 100 kg It think

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Answer:

physical, social, and mental

Explanation:

Answer:

A,B,C

Explanation:

These three maintain the overall health of the person being. Take for instance an example a cake, it has layers that make the overall cake. So it is with the persons health, it takes all three of these feilds to make the overall health.

Electromagnetic radiation is emitted by accelerating charges. The rate at which energy is emitted from an accelerating charge that has charge q and acceleration a is given by dEdt=q2a26πϵ0c3 where c is the speed of light.Part AIf a proton with a kinetic energy of 5.0 MeV is traveling in a particle accelerator in a circular orbit with a radius of 0.530 m , what fraction of its energy does it radiate per second?(dE/dt)⋅1sE =

Answers

Answer:

 P /K = 1,997 10⁻³⁶  s⁻¹

Explanation:

For this exercise let's start by finding the radiation emitted from the accelerator

       [tex]\frac{dE}{dt}[/tex] = [tex]\frac{q^{2} a^{2} }{6\pi \epsilon_{o} c^{2} }[/tex]

the radius of the orbit is the radius of the accelerator a = r = 0.530 m

let's calculate

       \frac{dE}{dt} = [(1.6 10⁻¹⁹)² 0.530²] / [6π 8.85 10⁻¹² (3 108)³]

      P= \frac{dE}{dt}= 1.597 10⁻⁵⁴ W

Now let's reduce the kinetic energy to SI units

       K = 5.0 10⁶ eV (1.6 10⁻¹⁹ J / 1 eV) = 8.0 10⁻¹⁹ J

the fraction of energy emitted is

      P / K = 1.597 10⁻⁵⁴ / 8.0 10⁻¹⁹

      P /K = 1,997 10⁻³⁶  s⁻¹

PLS HELP which ones would be made of cells? and which ones show cell walls?

Cork, Sponge, Wood, Plastic, Tree

Answers

The first question's answer depends on what you mean by "sponge". If you're talking about sea sponges, then all but plastic are made up of cells. Some sponges used for cleaning are also made of plant material but also other, non-organic materials like dyes.

Cell walls are only present in plant cells, so they would be found in cork (derived from a certain tree bark), wood, and trees. Synthetic sponges made with plant material might also contain them, but they wouldn't be made entirely of cells with walls.

From given options or choices all are made up of cells except plastic and among the other four Cork, Sponge, Wood, and tree all show cell walls except Sponge.

A cell is the basic structural unit of all living organisms and contains various cell organelles. On the base of different cell organelles or presence or absence of the certain organelles help in distinct and divide the cell type.

The major types of cells are:

Prokaryotic cellsEukaryotic cells

Plastic is not a living organism as there are no cells and is made up of polymers of hydrocarbon.

The cell wall is one of the major cellular structures that helps in identifying the type of cell organism and protects the organism from the external environment. It classifies the organism on its constituent of the cell wall.

In eukaryotic cells, animal cells have no cell wall, however, fungi cells, plant cells have a cell wall. A sponge is an animal and other cork wood, and trees are plants or plant-based products.

Thus, the sponge does not show the cell wall.

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How does eclipses occur

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Answer:

When Earth passes directly between the sun and the moon, a lunar eclipse takes place. During a solar eclipse, the moon casts two shadows. One is called the umbra; the other is called the penumbra. An eclipse takes place when Earth or the moon passes through a shadow.

A 8.0\,\text {kg}8.0kg8, point, 0, start text, k, g, end text box is released from rest at a height y_0 =0.25\,\text my 0 ​ =0.25my, start subscript, 0, end subscript, equals, 0, point, 25, start text, m, end text on a frictionless ramp. The box slides from the ramp onto a rough horizontal surface. The box slides 2.0\,\text m2.0m2, point, 0, start text, m, end text horizontally until it stops.

Answers

Answer:

μ = 0.125

Explanation:

To solve this problem, which is generally asked for the coefficient of friction, we will use the conservation of energy.

Let's start working on the ramp

starting point. Highest point of the ramp

         Em₀ = U = m h y

final point. Lower part of the ramp, before entering the rough surface

        [tex]Em_{f}[/tex] = K = ½ m v²

as they indicate that there is no friction on the ramp

          Em₀ = Em_{f}

          m g y = ½ m v²

          v = [tex]\sqrt{2gy}[/tex]

we calculate

          v = √(2 9.8 0.25)

           v = 2.21 m / s

in the rough part we use the relationship between work and kinetic energy

          W = ΔK = K_{f} -K₀

as it stops the final kinetic energy is zero

          W = -K₀

The work is done by the friction force, which opposes the movement

          W = - fr x

friction force has the expression

          fr = μ N

let's write Newton's second law for the vertical axis

         N-W = 0

         N = W = m g

we substitute

            -μ m g x = - ½ m v²

           μ = [tex]\frac{v^{2} }{2 g x}[/tex]

Let's calculate

           μ = [tex]\frac{2.21^{2}}{2\ 9.8\ 2.0}[/tex]

           μ = 0.125

A 8.0 kg box is released from rest at a height y0 = 0.25 m on a frictionless ramp. The box slides from the ramp onto a rough horizontal surface. The box slides 2.0 m horizontally until it stops.

What is the friction coefficient of the horizontal surface?

Answer: 0.125

What are the forces that resist motion that make Newton's 1st Law hard to completely visualize on Earth?

Answers

here’s a pic of old notes, hopefully it can help.

I mon runs a distance of 10km in 5 ms
he overage speed​

Answers

Note: Your question inputs seem a little odd. But, I am assuming that you really mean '10km in 5 ms'.

Answer:

The Average speed = 15000 / 0.005 = 3000000 m/s

Explanation:

Average speed can be calculated by dividing the total distance covered by the total time.

Average speed = Total Distance / Total time

Given

Total distance = 15km = 15(1000) = 15000 m Total time = 5 ms = 0.005 seconds

Thus,  

Average speed = Total Distance / Total time

Average speed = 15000 / 0.005 = 3000000 m/s

plz do all of it i will give brainlest and thanks to best answer
plz do it right

Answers

Answer:

d

Explanation:

because earth does have more water than land so it would be d

A train travels at a speed of 30mph and travelled a distance of 240 miles. How long did it take the train to complete its journey? Must show your work​

Answers

Answer:

8

Explanation:

240 divided by 30 = 8

What types of energy is used to make a lamp work

Answers

Answer:

Electrical energy

Explanation:

Professional research telescopes should be large enough to gather sufficient radiation from space. Which of these statements best explains why a reflecting telescope is best used as a professional research telescope?
Question 5 options:

Mirrors of reflecting telescopes gather harmful radiations from space.

Bigger lenses are easier to manufacture and they produce less distortion.

The series of mirrors and lenses help to reduce distortion of images.

Reflecting telescopes reflect away more radiation and distort images.

Answers

Answer:

Bigger lenses are easier to manufacture and they produce less distortion.

Explanation:

A reflecting telescope is best used as a professional research telescope because " Bigger lenses are easier to manufacture and they produce less distortion."

This is evident in the fact that the mirror of a reflecting telescope is simpler and inexpensive to be manufactured.

Also reflecting telescope is known not to support chromatic distortion, which often is a byproduct of dispersion.

Answer:

Bigger lenses are easier to manufacture and they produce less distortion

Explanation:

please help me. ill give you brainliest if you help me (please only answer if you have the right one)

Answers

Answer:410.022779

Explanation: To figure out force, you use the equation F=MA. Well, in this case, you're trying to find M. The mass. All you have to do is rearrange. F=MA turns into A=F/M.

Integrated science please help ASAP!...

Answers

1: sewage
2: agriculture pollution
3: oil pollution
4: radioactive substances
5: river dumping
6: marine dumping
This is all I can find I hope this helps.

Answer:

SewageAgricultural pollutionOilRadioactive substanceRiver dumpingMarine dumpingLittering trash Industrial wasteMining activitiesChemical fertilizers

Explanation:

I hope this helps

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