what gauge pressure in the water pipes is necessary if a fire hose is to spray water to a height of 16 m?
1.568 atm gauge pressure in the water pipes is necessary if a fire hose is to spray water to a height of 16 m
Gauge pressure = ρgh
= 1000 × 9.8 × 16
= 156800 Pa
= 1.568 atm
The pressure measured in relation to the surrounding atmospheric pressure is known as gauge pressure. A diaphragm sensor can be used to detect gauge pressure, with one side of the diaphragm exposed to the pressure medium that has to be measured and the other exposed to the surrounding atmospheric pressure.
It should be noted that while measuring gauge pressure, unless the measuring site is exposed to ambient air pressure, the measured gauge pressure will alter with fluctuations in barometric pressure caused by changes in weather patterns.
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the aorta carries blood away from the heart and eventually branches into a large number of capillaries that distribute the blood to various body organs. if for an average person, the aorta has a radius of 1.2 cm and blood travels through it at a speed of 36 cm/s and the capillaries have an average radius of 5.0 10-4 cm and blood travels through them at a speed of 0.008 cm/s, determine the approximate number of capillaries in the human body.
13.7 × \(10^{8}\), the approximate number of capillaries in the human body, that are carrying blood from the aorta.
What is Aorta?
A huge, cane-shaped blood channel called the aorta carries oxygen-rich blood to your body. It travels across the chest and belly after beginning in the lower left corner of the heart. Blood arteries leave the aorta along the way and extend to the organs and supporting tissue.
What are the Calculations?
The speed of the blood in the aorta is v = 35cm/s
the radius of the aorta is r = 1.1 cm
the area of the cross-section of the aorta is A =π\((1.1cm^{2} )\)
the speed of the blood in the capillary v ' = 0.078 cm/s
radius of the capillary is r = 6.3 × \(10^{-4}\)cm
Now area of cross-section of capillary is A' = Π\((6.3 * 10^{-4}) ^{2}\)
Let there be N number of capillaries
The volume rate of flow in the aorta is the total sum of the volume rate of flows in the capillaries.
Then Av = N*A' *v'
Π(1.1cm)² (35 cm/s) = N * (Π\((6.3 * 10^{-4}) ^{2}\))* 0.078 cm/s
N = 13.7 × \(10^{8}\)
Hence, 13.7 × \(10^{8}\), the approximate number of capillaries in the human body, that are carrying blood from the aorta.
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Sound waves are longitudinal waves and are also called _____ waves.A.electromagneticB.mechanicalC.transverseD.surface
ANSWER:
B. mechanical
STEP-BY-STEP EXPLANATION:
Sound or sonic waves are a mechanical waves created by a vibrating object.
So the correct answer is B. mechanical
Our mission to Mars have allowed us to observe the skies from the surface of another planet. From a martian point of view, what do you predict we would see in this geocentric solar system, but not in our heliocentric model?
From a Martian point of view, the most notable difference between observing the solar system in a geocentric model versus a heliocentric model would be the relative positions of the planets in the sky. In a geocentric model, the Earth is at the center of the solar system and all the other planets orbit around it. In contrast, in a heliocentric model, the sun is at the center of the solar system and all the planets, including Earth, orbit around it.
If we were observing the solar system from the surface of Mars, we would see the planets from Mars' point of view. In this scenario, the planets would appear to move in the sky in ways that are different from what we observe from Earth. For example, Mars and Earth would appear to be orbiting around the sun at different rates, and thus their relative positions to each other would change over time, but the relative positions of the other planets to the Earth would not change as much as in our heliocentric model.
Additionally, the apparent size and brightness of the planets would also appear different from Mars than they do from Earth. This is due to the fact that the distance between Mars and the other planets is not the same as the distance between Earth and the other planets.
In summary, from a Martian point of view, the relative positions of the planets in the solar system would appear different than what we observe from Earth due to the geocentric model of the solar system and the difference in the distance between Mars and the other planets.
One U.S. fluid gallon contains a volume of 231 cubic inches. How many liters of gasoline would you have to buy in Canada to fill a 14-gallon tank? (Note: 1L = 10 +3 cm 3.)
Since we have a 14 gallon tank this means that in total we need:
\(14\cdot231=3234\)cubic inches.
Now, we know that one inche is equal to 2.54 cm then we have that:
\(3234in^3\cdot\frac{2.54\text{ cm}}{1\text{ in}}\cdot\frac{2.54\text{ cm}}{1\text{ in}}\cdot\frac{2.54\text{ cm}}{1\text{ in}}=54995.76cm^3\)finally, and since a liter is equal to 1000 cubic centimeters we have that:
\(54995.76cm^3\cdot\frac{1\text{ L}}{1000cm^3}=54.99576\)Therefore we need 54.99576 liters of gasoline (this is approximately 55 liters)
Eroded debris that is dropped at the glaciers farthest extent when ice melts at the front of the glacier as seen in the image is called
A. Terminal Moraines
B. Lateral Moraines
c. Gradient
D. Striations
Answer:
A) terminal moraines
Explanation:
Moraines are the rocks and sediments deposited by moving glaciers. Terminal means the end, the furthest the glacier travels. Lateral means what's deposited along the sides of the moving glacier.
True or False The process of waves dropping sand on beach is called deposition
Under what condition will a glass lens placed in a transparent medium becomes invisible??
Answer:
A lens placed in a transparent liquid becomes invisible because when refractive index of the material of the lens is equal to the refractive index of the liquid in which lens is placed under this condition no bending of light takes place when it travels from liquid to the lens, so both will start behaving like both are same things.
Explanation:
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1. What sense does Krueger think is the most dominant?
2. Do you think the perceptions that people have while in an artificial reality environment are real? (this is psychology by the way. Help)
The most dominant sense for human tends to be vision, though the identity of 'Krueger' mentioned in the question isn't specified. Perceptions in artificial reality can be considered real in that they elicit real psychological responses, though they technically represent simulated environments.
Explanation:1. Without providing specifics on who 'Krueger' is, it is challenging to answer this question accurately. Nonetheless, in the context of psychology and sensory perception, many psychologists have argued that vision tends to be humans' most dominant sense.
2. The perceptions that people have while in an artificial reality environment can indeed be considered 'real' to the extent that they create perceptual experiences and trigger responses in the brain. However, it's crucial to differentiate between the objective reality and the experience induced by artificial reality, which is technically a simulation. Especially in terms of emotional and psychological reactions, the experiences can be very real and profound.
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Please help!
A string of length Lis clamped at each end. It CAN'T vibrate with a 1
equal to
Answer:
4L is the answer
Explanation:
The force of ____________ exists between any two objects that have mass.
free fall
acceleration
weight
gravity
Answer:
gravity
Explanation:
A student builds a circuit that has a source of electrical energy, connecting wires, a switch, and a load. However, the circuit does not work. Suggest three possible reasons why the circuit does not work.
Answer:
Explanation:
1. The load has been burned out in a previous experiment. It is now an open circuit.
2. The switch may not be closed.
3. The energy source is now discharged.
4. The wires are touching creating a short circuit.
Question 16 Find the flux of the vector field F across the surface S in the indicated direction. F = x 4yi - z k: Sis portion of the cone z = 3 Vx2 + y2 between z = 0 and z = 4; direction is outward 0-13
The flux of the vector field F across the surface S in the indicated direction is -24π.
We know that the flux of a vector field F across a surface S is given by the surface integral, ∫∫S F ⋅ dS. Here, dS is the surface area element, which is given by dS = ndS, where n is the unit normal to the surface S, and dS is the area element on the surface S. Let us determine the unit normal to the surface S. For the given surface S, we have the equation of the surface in cylindrical coordinates as z = 3r, where r = √(x^2 + y^2) is the radial coordinate. The unit normal to the surface S is then given by n = ( ∂z/∂r)i + ( ∂z/∂θ)j - k, where i, j, and k are the unit vectors along the x, y, and z axes respectively.
We now evaluate the first integral. ∫∫S x4y dS = ∫₀⁴ ∫₀^(2π) (r cosθ) (4r sinθ) r dz dθ = 4 ∫₀⁴ ∫₀^(2π) r^3 cosθ sinθ dz dθ = 0. Using cylindrical coordinates, we have the equation of the surface S as z = 3r. Hence, z varies from 0 to 4, and r varies from 0 to √(16 − z^2). We now evaluate the second integral. ∫∫S z dS = ∫₀⁴ ∫₀^(2π) (3r) r dθ dz = 3 ∫₀⁴ ∫₀^(2π) r^2 dθ dz = 24π. Hence, we have ∫∫S F ⋅ dS = 3 ∫∫S x4y dS - ∫∫S z dS = 3(0) - 24π = -24π.
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The body weighing 8kg moves in a straight line uniformly accelerated with an acceleration of 3m / s? on a horizontal surface, under the action of force 60N.Find a) What is the friction force acting on the body) The coefficient of friction between the body and the surface where it moves
Answer:
the friction force f=36
and the coefficient of friction =0.45
Solve for x. 60(cos 50) = x
Answer:
x=38.56725658
Explanation:
Answer:
x=38.56725658
Explanation:
Find the resultant of the following vector
You can use the Pythagorean theorem to calculate the hypotenuse, since the resultant is the hypotenuse of the triangle.
\(r^{2} = x^{2} + y^{2}\\r^{2} = 12^{2} + 16^{2}\\r^{2} = 144 + 256\\r^{2} = 400\\r = \sqrt{400}\\r = 20N\)
If a rock traveling at 1.4 m/s has a kinetic energy of 12 J, what is its mass
Answer:
Mass of the rock is 12.25kg
Explanation:
Kinetic energy can be defined as the energy possessed by an object as a result of its motion. Simply stated, it is the energy due to motion.
Mathematically, it is given by;
\(K = \frac{1}{2}mv^{2}\)
Given the following data;
Velocity, V = 1.4m/s
Kinetic energy, K = 12J
Mass, m = ?
The formula for calculating the kinetic energy of an object is;
\(K = \frac{1}{2}mv^{2}\)
Substituting into the equation, we have;
12 = ½*m*(1.4)²
We cross-multiply;
24 = 1. 96m
m = 24/1.96
m = 12.25kg.
Hence, the mass of the rock is 12.25kg.
A cubic box of side a, oriented as shown, contains an unknown charge. The vertically directed electric ?eld has a uniform magnitude E at the top surface and 2 E at the bottom surface. How much charge Q is inside the box?
The charge Q inside the box, after applying Gauss's law is ε₀ \(E a^2\).
Since the electric field is uniform and vertically directed, the electric field lines will be parallel to each other, as shown in the figure.
Let's apply Gauss's law to a cube with a length of side x, where x < a. The cube is shown in blue in the figure. The electric flux through the top and bottom faces of the cube are \(E x^2\) and \(2E x^2\), respectively, since the electric field is uniform on each face.
By Gauss's law, the electric flux through any closed surface is equal to the charge enclosed by the surface divided by the permittivity of free space (ε₀). The cube encloses a charge Q, so the electric flux through the cube is Q/ε₀. Therefore, we have:
\(E x^2 + 2E x^2 = Q/ε₀\)
Simplifying, we get:
Q = ε₀\(E a^2\)
Therefore, the charge Q inside the box is ε₀ \(E a^2.\)
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Which statement about electromagnetic waves is true?
A.
Electromagnetic waves require a medium to travel.
B.
Electromagnetic waves don't require a medium to travel.
C.
The particles of the medium through which electromagnetic waves travel vibrate perpendicularly to the direction of the wave.
D.
The particles of the medium through which electromagnetic waves travel vibrate parallel to the direction of the wave.
Answer:
b
Explanation:
Answer:
they transfer energy
Explanation:
Water has a specific heat capacity of 4200 J/kg/°C. Calculate the temperature change produced when 0.35 kg of water is heated using 9600 J.
The temperature change produced when 0.35 kg of water is heated using 9600 J is 6.34 °C.
What is Specific Heat Capacity?
Specific heat capacity is the amount of heat energy required to raise the temperature of one unit of mass of a substance by one degree Celsius (or one Kelvin). It is a measure of the substance's ability to store heat energy. The specific heat capacity is a physical property of the substance and is usually denoted by the symbol c.
The amount of heat required to raise the temperature of a substance is given by the formula:
Q = mcΔT
where Q is the amount of heat energy transferred, m is the mass of the substance, c is the specific heat capacity of the substance, and ΔT is the change in temperature.
In this problem, we are given:
m = 0.35 kg (mass of water)
c = 4200 J/kg/°C (specific heat capacity of water)
Q = 9600 J (amount of heat energy transferred)
We can rearrange the formula to solve for ΔT:
ΔT = Q/(mc)
Substituting the given values, we get:
ΔT = (9600 J) / (0.35 kg x 4200 J/kg/°C)
ΔT = 6.34 °C
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A rock once contained 1.0 mg of uranium-238, but now contains only 0.25 mg. Given that the half-life for uranium-238 is 4.5 x 10^9 (4.5 billion) years, how old is the rock?
Answer:
9 x 10 ^9 yrs ( 9 billion years <=====older than Earth !)
Explanation:
.25 = 1.0 (1/2) ^n
.25 / 1.0 = = (1/2 )^n
log .25 = n log 1/2
n = 2 half lives
2 * 4.5 x 10^9 = 9 x 10 ^ 9 yrs
What is the differences between the single stage batch and
continuous extraction
The main difference between single-stage batch extraction and continuous extraction lies in the operational mode and the flow of materials.
In single-stage batch extraction, the extraction process occurs in a batch-wise manner with discrete intervals, while in continuous extraction, the process operates continuously without interruptions.
Single-stage batch extraction involves performing the extraction process in discrete batches or intervals. This means that the material to be extracted is loaded into the extraction vessel, the extraction process is carried out for a specific period, and then the extracted product is collected.
This process is repeated in batches, with each batch undergoing the same extraction procedure. Single-stage batch extraction is commonly used when the production volume is relatively low or when the extraction process requires specific conditions that are difficult to maintain in a continuous system.
On the other hand, continuous extraction operates in a continuous and uninterrupted manner. The material to be extracted is continuously fed into the extraction system, and the extraction process occurs continuously without any pauses or breaks. The extracted product is continuously collected as well.
Continuous extraction is often employed when the production volume is high and a continuous flow of materials is necessary for efficient operation. It allows for a higher throughput and can be more cost-effective in large-scale operations.
Overall, the main distinction between single-stage batch extraction and continuous extraction lies in the operational mode and the flow of materials. Single-stage batch extraction operates in batches with intervals, while continuous extraction operates continuously without interruptions, providing a higher production volume and efficiency.
The choice between these two methods depends on factors such as production volume, required conditions, and cost considerations.
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How are objects identified and categorized in space;
list Three(3)
Explanation:
There are several methods to identify and categorize objects in space but the 3 important are:
•Mass/Size
•Revolution
•Gravity
Example:
If you look at the planet Mars you will identify it by many methods but the basic way to indentify it is by looking at it's gravitational pull, Mass and size of the planet and the revolution of the planet around the star.
You can also identify them by looking at their elements present in it (like mars is red due to presence of high amount of iron/red soil in it), and Like Saturn is mostly identified by it's rings. It's not always about planets but it's also about the asteroids, stars, Natural satterlites of planets (like moon) and more.
Hope this helps you
Have a nice day :)
An average force of 37.0 N is required to stretch a spring 20 cm from its equilibrium
position. The spring has
_______ energy.
The spring has 3.7 J energy when a force of 37. N act on it.
What is energy?Energy is the ability or the capacity to perform work.
To calculate the energy of the spring, we use the formula below
Formula:
E = Fe/2....................... Equation 1Where:
E = Energy of the springF = Force applied to the springe = Extension of the springFrom the question,
Given:
F = 37 Ne = 20 cm = 0.2 mSubstitute these values into equation 1
E = 37×0.2/2E = 3.7 JHence, the spring has 3.7 J energy.
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Label the diagram with the appropriate descriptions light brainpop
1) Note that the Roof is dark colored. Given the laws of physics, it will absorb all light.
2) the window is transparent, hence, it will transmit ALL light.
3) the door is dark-colored but has some glass on it. Thus, it will absorb MOST but not all light.
4) the side of the building which is painted white will reflect all light.
Why do dark surfaces absorb light?Note that dark surfaces absorb light because they are able to absorb photons, or particles of light, and convert them into other forms of energy.
This is because the atoms and molecules in dark surfaces have a large number of unpaired electrons that are able to absorb the energy of photons and transition to a higher energy state.
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An iron rod with an initial length of 12.64 m has its temperature raised from 9o C to 38.10o C. If iron has a coefficient of thermal expansion of 12x10-6 1/oC, what is the change in length of the rod in mm?
We will have the following:
First, we remember that:
\(\Delta L=\alpha\ast L_0\ast\Delta T\)So:
\(\begin{gathered} \Delta L=(12\ast10^{-6}1/C)(12.64m)(38.1C-9C)\Rightarrow\Delta L=4.413888\ast10^{-3}m \\ \\ \Rightarrow\Delta L\approx4.41mm \end{gathered}\)So, the change in length of the rod is approximately 4.41 mm.
what is the approximate period of the planet in days?
Earth's mean distance from the Sun is 1.495x108 kilometres, and its orbital period is 365 days. In 365.256 days (1 sidereal year), the Earth completes one orbit, covering 940 million kilometres (584 million mi).
One rotation of the Earth takes 24 hours, while that of Mars takes 25. The gas giants spin quite quickly. Jupiter's revolution takes only 10 hours to complete. Neptune takes 16 hours, Saturn 11 hours, and Uranus 17 hours. The length of time it takes an astronomical object to complete one orbit around another object is known as the orbital period (also known as the revolution period). In astronomy, it typically refers to bodies like planets or asteroids revolving about the Sun, as well as moons circling other stars, exoplanets, and double stars.
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I need the answers to the practice on your own part. Please I need this asap I will mark brainliest
Answer:
1) 150 [m/min]; 2) 250 [m/min].
Explanation:
1) time=10min; distance=1,5km, then the speed=distance/time=1.5/10[km/min]= 0.15 [km/min] or 150 [m/min] or 2.5 [m/s];
2) time=10 min; distance=2.5 km, the the speed=distance/time= 2.5/10= 0.25[km/min] or 250 [m/min] or ≈4.17 [m/s].
While participating in a blood drive at school, Keona learns that blood has a density of 1.06 g/mL. She donates one pint of blood, which is equal to 473.176 mL.
The mass of the blood denoted is 501.6 g.
What is the mass of the blood she denoted?The mass of the blood denoted by Keona is calculated by applying the formula for density of a liquid as shown below.
density = mass/volume
mass = density x volume
The given parameters include;
density of the blood = 1.06 g/mLvolume of the blood, = 473.176 mLThe mass of the blood is calculated as follows;
mass = 1.06 g/mL x 473.176 mL
mass = 501.6 g
Thus, the mass of the blood is calculated from the formula of density.
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The complete question is below
While participating in a blood drive at school, Keona learns that blood has a density of 1.06 g/mL. She donates one pint of blood, which is equal to 473.176 mL. find the mass of the blood denoted.
Identify each of the following statements related to universal gravitation as either true or false. False The gravitational field around a planet is oriented radially outward. True Stars must be at least 2 or 3 times more massive than our sun in order to become a black hole. False Orbiting astronauts are weightless because of the absence of a support force. False The outer planets in our solar system wobble in their orbits because the gravitational effects of the sun are so small. False The earth is falling toward the sun. False As you move farther from the earth, its gravitational force acting on you increases.
The characteristics of the universal gravitation law allow finding the results for which statements are true:
2. Real stars must be at least 2 to 3 times more massive than our sun to become a black hole.
All the others are false.
The universal gravitational law states that the gravitational force is always attractive and is proportional to the masses and inversely proportional to the square of the distance.
\(F = - G \frac{Mm}{r^2}\)
Where F is the force, G is the universal gravitational constant, M and m are the masses and r the distance between the bodies.
Let's analyze the expressions:
1. The gravitational field around a planet is oriented radically outward
False. The force is attractive therefore it is directed towards the center of the planet.
2. Real stars must be at least 2 to 3 times more massive than our sun to become a black hole.
True. From observations of super-novae the minimum mass is 3 solar masses.
3. Astronauts in orbit are weightless due to the absence of a supporting force.
False. Astronauts have no weight because the force of gravity binds to change the direction of their velocity.
4. The outer planets of our solar system wobble in their orbits because the gravitational effects of the sun are very small.
False. The attraction of the sun decreases with the square of the distance, but the wobble is due to the attraction of the other large planets in this area.
5. The earth falls towards the sun.
False. The earth has a speed parallel to the orbit around the sun and the acceleration due to the attraction of the sun changes the direction of the orbital velocity, but the earth is not directed at the sun.
6, As you move away from the ground, the gravitational force acting on you increases.
False. The gravitational force is inversely proportional to the distance, therefore it decreases when leaving the earth.
In conclusion with the characteristics of the universal gravitation law we can find which statements are true:
2. Real stars must be at least 2 to 3 times more massive than our sun to become a black hole.
All the others are false.
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