a) Speed on the second floor is equal to 3.90 m/s
b) Water pressure on the second floor is 240000 Pa.
What is Bernoulli's Theorem?In fluid dynamics, Bernoulli's principle can be described as an increase in the speed of fluid occurring simultaneously with a decrease in static pressure or the fluid's potential energy.
The constant can be normalized in the Bernoulli equation. A common approach is total head or energy head H:
[tex]{\displaystyle H=z+{\frac {p}{\rho g}}+{\frac {v^{2}}{2g}}=h+{\frac {v^{2}}{2g}},}[/tex]
a) speed on the second floor can be calculated as:
[tex]Q_1=Q_2[/tex]
[tex]A_1V_1=A_2V_2[/tex]
[tex]\displaystyle \frac{\pi }{4}(d_1^2) \times V_1 = \frac{\pi }{4}(d_2^2) \times V_2[/tex]
[tex](2.5)^2\times 0.90 =(1.2)^2\times V_2[/tex]
V₂= 3.90 m/s
b) water pressure on the second floor can be calculated as:
[tex]{\displaystyle {\frac {P_1}{\rho g}}+{\frac {V_1^{2}}{2g}}+h_1 = {\frac {P_2}{\rho g} +{\frac {V_2^{2}}{2g}}} +h_2[/tex]
[tex]{\displaystyle {\frac {170\times 1000}{9.80\times 1000}}+{\frac {(0.90)^{2}}{2\times 9.80}}+7.6 = {\frac {P_2}{\rho g} +{\frac {(3.90)^{2}}{2\times 9.80}}}[/tex] here [tex]h_1-h_2 = 7.6[/tex]
[tex]{\displaystyle {\frac {P_2}{\rho g} = 24.215[/tex]
P₂ = 240000 Pa
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What does N solve mean?
The function NSolve("Equation", "Variable = starting value") generates a list of numerical solutions for the given equation for the specified unknown variable and its starting value.
What accomplishes N solve?Searches for solutions over the domain of real numbers in an effort to obtain numerical approximations to the solutions of the system of equations or inequalities for the variables vars.
Is there an infinite number of solutions?There are some equations that have infinitely many or no solutions. When simplified, equations without solutions won't have the same value. The same constant will be used on both sides to simplify equations having infinite solutions. An inconsistent system is a set of equations that cannot be solved.
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16. Two aircraft P and Q are flying at the same speed, 300 m s¯¹. The direction along which P is flying is at right angles to the direction along which Q is flying. a) Find the magnitude of the velocity of the aircraft P relative to aircraft Q. b) Find the direction of the velocity?
a) The magnitude of the velocity of the aircraft P relative to aircraft Q is 424 m/s
b) The direction of the velocity is 45 degrees.
What is the relative velocity?We know that the relative velocity has to do with the velocity of the object that is the same in magnitude and direction as the velocities of two or more objects together.
As such we have the velocities of the objects as;
P = 300 m s¯¹
Q = 300 m s¯¹
Since they are at right angles, the resultant is;
R = √(300)^2 + (300)^2
R = 424 m/s
b) The direction of the velocity is obtained as;
tan-1 = (300/300)
= 45 degrees
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What are elements with 2 electrons called?
Elements with 2 electrons are called as Group 2 Elements.
As the name says elements with 2 electrons.
Such elements have 2 electrons in their outermost orbit, due to the presence of these 2 electrons in the outermost orbit such elements are not stable.
So, for becoming stable and completing the octet in the outermost orbit the elements need to lose their 2 electrons which are present in the outermost orbit.
Some common examples of such elements is Magnesium, Calcium, and Strontium.
The valency of such elements is 2.
As we know, valency is nothing but the number of electrons which are either lost or taken by the atom for completing their octet.
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value: 10.00 points The embroyblast eventually differentiates into the O zygote. O blastocyst O primary germ layers. O sperm and egg ReferenceseBook & Resources Multiple Choice
The zygote has only one cell. The embryo has many cells. A zygote is known as a zygocyte in medicine. A diploid eukaryote is the name given to the embryo. During the zygote's mitosis, an embryo is created.
A stage after the zygote stage is an embryo. Fertilization is the process that creates the zygote. Human blastocyst (day 5), also known as a blastula, is the term used to describe the hollow cellular mass that develops in the early stages of development. The blastocyst is made up of cells that form an inner cell mass (ICM, embryo blast), an exterior trophectoderm (TE, trophoblast) layer, and a blastocoel (fluid-filled cavity). The first week after conception is when the zygote stage develops. The mix of DNA in the zygote's genome is.
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How many companies have set Scope 3 targets?
From 936 firms in 2010 through 3,317 firms in 2021, more businesses reported Scope 3 pollutants in the available CDP dataset.
How many businesses have a science-based objective?A zero-carbon economy is being implemented around the world.The Research Based Goals initiative (SBTi) is working with more over 4,000 companies and financial institutions to cut their emissions in accordance with climate science.Learn more about their commitments and goals.
How are Scope 3 emissions targeted?Needed to make an informed transportation decisions, selecting which products or vendors to use, and pushing their suppliers to cut their own emissions are all ways that businesses can lower their Scope 3 emissions.
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consider the circuit shown in (figure 1). the initial current in the inductor is is(0+) = 0.
The questions is incomplete so I answered it in general way.
I= 1/L∫Vdt, where I is the current flowing through the inductor, L is the inductor's inductance, and V is the voltage across the inductor, is the formula that determines the inductor current depending on these input parameters. You will frequently come across the expanded formula I= I0 + 1/L∫Vdt.
A passive two-terminal electrical device known as an inductor, also known as a coil, choke, or reactor, stores energy in a magnetic field as electric current passes through it. Typically, an inductor is made out of insulated wire twisted into a coil.
According to Faraday's law of induction, when the current through the coil changes, the time-varying magnetic field induces an electromotive force (emf) (voltage) in the conductor. Lenz's law states that the induced voltage has an opposing polarity (direction) to the change in current that caused it. Inductors so reject any changes in the current flowing through them.
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If you catch the ruler 8.3 cm from the lower end, what is your reaction time? Express your answer using two significant figures.
Answer:
Below
Explanation:
The time it take the ruler to fall .083 m is given by
d = 1/2 a t^2 d = .083 m a = 9.81 m/s^2
t = .13 s
Natural rubidium has the average mass 85. 4678 amu and is composed of isotopes rb-85 (mass = 84. 9117 amu) and rb-87. The ratio of atoms rb-85/rb-87 in natural rubidium is 2. 591. Calculate the mass of rb-87.
The correct response is 86.913 amu for Rb-87's mass.
Two isotopes of the rubidium (Rb) element exist: Rb-85, which has an atomic mass of 84.9117 amu, and Rb-87, which has an atomic mass of 86.9092 amu. Rubidium has an average atomic weight of 85.4678.
Both isotopes have a ratio of 2.591 to 1. Consequently, there is one Rb-87 atom for every 2.591 Rb-85 atoms.
Rb-85 abundance is 2.591/3.591 = 0.722% for 100% naturally occurring Rb, while Rb-87 abundance is 1 - 0.722 = 0.278.
84.9117 × 0.722 + X × 0.278 = 85.4678
X = 24.1618 / 0.278 X = 86.913 amu 61.306 + X 0.278 = 85.4678 X 0.278 = 85.4678 - 61.306 X 0.278 =86.913
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What is the value of 1 to the power n?
It's kind of in the definition of what 1 is to say that 1 to the power of anything is 1. You can use complicated powers, but the outcome will always be 1.
How do you calculate n's power?The simplest method for determining a number's nth power is to multiply it exactly n times. In this situation, we might simply calculate pow(2,-3) = 1/(23), which is the inverse of its positive power.
How is 1 n solved?Divide both sides by the left-hand integer to create a ratio with the notation 1: n. Divide both sides by the right-hand integer to represent the ratio as n: 1. to check if you're right.
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Suppoe you are in a dark room. Can you ee object in the room? Can you ee object outide the room?
I may or may not see object in the dark room or outside the room because it all depends on the presence of light.
We realize that we can see an item when light reflected from its surface enter our eyes.There is no light in obscurity room .As there will be no light in obscurity room there will be no reflection. So we can not see any item in the room, In the event that there is light external the room, we will actually want to see object outside the room. This is on the grounds that the light reflected from object make picture in our eyes. So on the off chance that there is no light we will not ready to see, assuming there is light we will ready to see.
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A car is traveling on michigan street towards ward street. The car plans to turn right onto ward street. What is the angle measure of the turn?.
The angle measure of the turn is 105 degrees.
Acute Angle: An acute angle is one that is less than 90 degrees. Right Angle: A right angle is one that is exactly 90 degrees. Obtuse Angle An angle larger than 90 degrees is referred to as an obtuse angle.
An automobile moving in the direction of Ward Street on Michigan Street. Onto Ward Street, the automobile intends to turn right. the Ward Street angle is as follows: Michigan St Pennsylvania St The turn's angle is measured as
Since 75+x = 180 (a straight line)
Then x = 180-75=105
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What are the example of radiogenic?
Answer:
Radon and helium both of which form during the decay of heavier elements in bedrock.
Another piece of copper has a volume of 7 cm3 what is its mass?
The mass of a piece of copper that has volume of 7[tex]cm^{3}[/tex] is 62.58g.
A piece of copper has a volume of 7 [tex]cm^{3}[/tex], find what is its mass?The element copper (Cu) is a reddish, very ductile metal belonging to Periodic Group 11 that has an exceptional ability to conduct heat and electricity. In nature, copper can be found in its free metallic state.
Given,
Volume = 7 cm^3
we know that,
The density of copper is 8.960g/cm^3 in room temperature.
Density = mass / volume
Mass = Density x Volume
Mass = 8.960 x 7
Mass = 62.72 g
Mass of copper has a volume of 7 cm^3 is 62.72g.
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Ms. Johns shows her class a correct model of the solar system. What can the model show that is just like the real solar system?.
The model will be just like the real solar system when it shows the moon and other satellites revolve around the earth.
Heliocentric model is the most accepted model of the solar system. Heliocentrism is the astronomical model in which the Earth and planets revolve around the Sun at the center of the universe.
The moon and the other satellites revolve around the earth due to the force of gravitation. The moon orbits the Earth once every 27.322 days. It also takes approximately 27 days for the moon to rotate once on its axis. As a result, the moon does not seem to be spinning but appears to observers from Earth to be keeping almost perfectly still. Scientists call this synchronous rotation.
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For what value of lambda are the vectors perpendicular?
Consequently, if =3, vectors are perpendicular to one another.
Describe lambda.Greek letter lambda is part of the alphabet.
Lambda is mostly used as a variable in physics to indicate or denote the wavelength of any wave.
Lambda is the term used to describe the radioactive decay constant in nuclear physics and radioactivity.
Lambda is also used to refer to the linear charge density of a uniform line of electric charge in electric fields.
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should the speed of the goose be increased or decreased to make the total momentum of the three birds add up to zero? verify your answer by calculating the required speed
The birds' collective momentum is in the same direction as a goose's, i.e., the right way, but the goose's momentum is more than that of two ducks.
In order to make the goose's overall momentum zero, we employ the idea of momentum to determine the lowered speed.Given that the speed of the goose is greater than the sum of the speeds of the two ducks, it is necessary to decrease the momentum of the goose in order to zero out the overall momentum.P total = Pd + Pd + Pg0=-2md vd + mg vg
2md vd/ mg = v g =2 (40) (1.1) /7.6kg
vg =1.2m/s
when total momentum is set to zero.
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What is the formula used to calculate energy using frequency?
E = hv is the energy equation. In the formula, E stands for energy, h for Planck's constant (6.626 x 10 -34 J s), and v for frequency. Since frequency rises as energy falls, frequency and energy are related directly in the energy equation. Because h is a constant, this is conceivable.
What is the energy and frequency relation?Each quantum's energy content is directly influenced by the radiation's frequency. Since the relationship between frequency and wavelength is inverse, the amount of energy carried is also inversely proportional to wavelength.
The link between the energy E and frequency v of a photon is expressed by the equation E=hv, where h is Planck's constant.
In essence, energy is directly proportional to radiation frequency but inversely proportional to wavelength. As a result, energy increases when frequency or wavelength decreases and decreases when frequency or wavelength increases.
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What causes thermal energy to transfer between two substances
A microwave has a frequency of
90 GHZ. What is the energy of
electromagnetic radiation from
the microwave?
The energy of the electromagnetic radiation from the microwave is equal to 5.96 × 10⁻²³ J.
What is photon energy?The energy carried by one photon of any electromagnetic radiation is known as photon energy. This energy is directly proportional to the frequency of electromagnetic radiations and inversely proportional to their wavelength.
To calculate the energy of the photon, we can use the following relation:
The mathematical formula of energy of photon: E = hc/λ
where E is energy, h = Planck's Constant is equal to 6.626 × 10⁻³⁴ Js and c = speed of light = 3 ×10⁸ms⁻¹, λ is wavelength of light
Given, the frequency of the electromagnetic radiation, ν = 90 GHz
ν = 90 ×10⁹ Hz
The energy of one photon microwave radiations is equal to E = hν
E = 6.626 × 10⁻³⁴Js × 90 ×10⁹ s⁻¹
E = 596.34 × 10⁻²⁵
E = 5.96 × 10⁻²³ J
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How much of the ocean has been explored with sonar?
Currently, contemporary sonar technology has only been used to map fewer than 10% of the world's oceans. Only around 35% of the ocean and coastal waterways in the United States have been mapped using contemporary techniques.
Why don't we investigate the ocean's bottom?
It is challenging to attempt to travel to the ocean's depths. Between 4,000 and 6,000 metres below sea level is where the majority of the ocean bottom is located. The abyssal zone is what it is termed. The visibility is really poor because the sunlight doesn't penetrate very far down. Ocean trenches are a few smaller, deeper regions that exist beneath the ocean floor. Seamounts, volcanic islands, mid-oceanic ridges and rises, and seamounts are features that rise up from the ocean floor.
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what parameters do hubble's law relate to each other? galaxy rotation speed and luminosity galaxy classification and mass cepheid star period and luminosity galaxy recession velocity and distance galaxy mass and distance
The fundamental relationship between recessional velocity and distance is known as Hubble's law. The relationship between recessional velocity and redshift, excepting very small redshifts, depends on the cosmological model used.
What can we infer about the connection between distance and recessional velocity from Hubble's law?One observational consequence of the expansion is that galaxies appear to move away from you more quickly the further they are from you. As a result, the recessional velocity and distance are related. The Hubble's Law is the name of this phenomenon.
What main principle underlies Hubble's law?In big bang cosmology, the Hubble law postulates that galaxies move away from the Earth at a rate that is proportional to their distance.
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How is cutoff value calculated?
The term "cutoff" in theoretical physics refers to an artificial maximum or minimum value of energy, momentum, or length that is used to exclude objects having values that are more or smaller than these physical quantities from calculations.
How often does a cutoff occur?A cutoff frequency, also known as a corner frequency or break frequency, is the frequency response threshold at which energy begins to be attenuated (reflected or diminished) rather than pass through a system.
The frequency above or below which the power output of a circuit, such as a line, amplifier, or electronic filter (such as a high pass filter), has decreased to a specific percentage of the power in the passband is known as the cutoff frequency or corner frequency in electronics.
The passband power, commonly known as the 3 dB point since a decline of 3 dB roughly equates to half power, is the proportion that occurs most frequently. The voltage ratio is falling in this case.
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What is force of friction short answer?
Frictional force that is produced when two surfaces attempt to move in one direction or in opposite directions is known as frictional force. the primary objective of frictional force.
Where is the force of resistance?Lever. A rigid piece of material is put over what is known as a fulcrum to form a lever. On one ends of the lever, which is also known as the resisting force, is an object that must be lifted. To lift the frictional resistance, effort is applied at the opposite end of the level.
What creates the force of resistance?Friction is resistance brought on by rubbing surfaces together, such as the stylus' tip and an object. Viscosity is a fluid's resistance to movement, such as water.
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What is the relationship between the mass of a student and the amount of work they do?
The relationship between the mass of a student and the amount of work they do is that the greater the mass, the more work.
What is Work?This is referred to as any type of activity which requires the use of physical or mental effort by an individual or thing.
In a scenario where an individual has a greater mass then there will be more work done and vice versa as a result of the formula of work being Force × distance where the Force = mass × acceleration which therefore explains the relationship between the mass of a student and the amount of work they do.
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in this experiment, what would be the effect if the point on the arm hanging the bob and the pointer are not on the same vertical line in the experiment?
If the point on the arm hanging the bob and the pointer are not on the same vertical line then the torque applied by the bob will not be zero.
When the point of arm and the pointer are in same vertical line than the angle between the point of arm and pointer will not be zero. We know that Torque is defined as the cross product of distance of point where force is applied and force applied on the body.
In other words, Torque=distance × Force
or Torque=rFsinθ(since cross product involves sinθ) where r is the distance and F is the applied force.
Since angle is not zero, therefore angle(θ) will be greater than zero,so sinθ have some value which is greater than zero,and it is enough to rotate the system from its equilibrium point.Due to torque,system will become unstable.
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(Complete question) is:
If a metal bob is rotated in a uniform circular motion in this experiement, what would be the effect if the point on the arm hanging the bob and the pointer are not on the same vertical line?
a lathe rotating at is used to reduce the diameter of an long section of stock metal rod from a diameter of to at a feed rate of . the force measured at the tool post was down and pulling the tool toward the workpart. what is the specific energy of this material?
If a lathe turning at a feed rate is used to decrease a long section the stock metal rod's diameter from a diameter of to, the material's specific energy M RR = 109.96 cm3/min.
In hydrology, what is specific energy?At any cross-section section of a canal, measured just above channel bottom, the total energy per cent weight of fluid. Where y is the flow depth, v seems to be the average velocity, & g is gravitational attraction, makes up the formula for specific energy, or E.
What is a substance's particular energy?The proportion of necessary energy (E) towards the volume of removed material is referred to as specific energy (SE) (V). This variable can be used to calculate how much energy is expended on removing material.
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A group of scientists is studying the effect of a particular herbicide on the activity of plant cells. they want to observe the impact of the chemicals on the molecular structures inside the cell. which microscope would be the best tool for this research?
To observe the impact of the herbicide on the molecular structures inside plant cells, a microscope with high resolution and the ability to visualize small structures would be the best tool for this research. One option that could be suitable for this purpose is a transmission electron microscope (TEM).
A transmission electron microscope uses a beam of electrons to produce an image of the sample being studied. It has a higher resolution than a light microscope, and it is able to visualize structures as small as 0.2 nanometers in size. This makes it an ideal tool for studying the molecular structures inside cells, including proteins, DNA, and other cellular components.
Another option that could be used for this research is a scanning electron microscope (SEM). A scanning electron microscope uses a beam of electrons to produce a detailed, three-dimensional image of the surface of a sample. It has a lower resolution than a TEM, but it is able to visualize larger structures and features on the surface of cells.
Both TEMs and SEMs are powerful tools for studying the structures and functions of cells and molecular processes, and they are commonly used in scientific research and other applications.
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Which of the following statements is false? The magnetic field of a current-carrying wiredepends on the magnitude of the current. decreases inversely with the distance from the wire. is directed circularly around the wire. exists only if the current in the wire is changing.
The magnetic field produced by a conductor that is carrying current relies on the conductor's current and the point's distance from it. The magnetic field runs parallel to the wire in a perpendicular direction.
Given by r = 2 m and B = 5, the magnetic field strength created by a straight wire carrying current is 5. Inquiry 4: As seen in the diagram below, a straight conductor carrying a current of 10A is parallel to another conductor carrying a current of 5A on the other side. Since all closed-loop currents make their own magnetic fields and magnetic fields operating on closed-loop circuits may produce current, magnetism and electricity are closely related. Oersted made the discovery that electric current had a magnetic influence.
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How do you find the frequency of a wavelength example?
Thus, from largest wavelength radio waves, microwaves, infrared, visible light, ultraviolet, x-rays, and ultimately gamma rays, which have the shortest wavelengths, are available.
How is the frequency example solved? The following are the many types of electromagnetic waves: radio waves, which have the longest wavelengths; microwaves; infrared; visible light; ultraviolet; x-rays; and ultimately, gamma rays, which have the shortest wavelengths.Subtract the duration of the event from the number of occurrences to determine frequency.Example:In Anna's calculation, the time is divided by the total number of webpage clicks (236). (one hour, or 60 minutes).Her average click rate is 3.9 per minute, she discovers.How many whole waves occur in a second is known as frequency.As a measure of frequency,Hertz (Hz = 1/second) is the unit of measurement for frequency.If a wave with a wavelength of 2 meters is moving at a speed of 6 meters per second, then 3 full waves pass by in a second.Consequently, the frequency is 3 waves per second (6/2), or 3.To learn more about frequency of wavelength refer
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A mass spectrometer has a magnetic field of 5.00 mT. It is used to test an unknown particle which has a charge of 2e and is travelling at 100 m/s. If the resulting radius of curvature for the ion is measured to be 1.67 mm:
A. What is the particle's mass?
B. Which element is it? (You may require a periodic table.)
Answer:
A mass spectrometer uses a magnetic field to separate ions based on their mass-to-charge ratio. The mass of an ion can be calculated from its charge, velocity, and the radius of curvature of its path in the magnetic field, using the formula m = (qBv)/(2πr), where m is the mass, q is the charge, B is the magnetic field, v is the velocity, and r is the radius of curvature.
In this case, the magnetic field is 5.00 mT, the charge of the unknown particle is 2e, and its velocity is 100 m/s. The radius of curvature of the ion's path is measured to be 1.67 mm. Plugging these values into the formula above, we get:
m = (2e * 5.00 mT * 100 m/s) / (2π * 1.67 mm) = 0.24 g/mol
Therefore, the mass of the unknown particle is 0.24 g/mol.
To determine which element the particle is, we can use the periodic table to find an element with a mass-to-charge ratio of 0.24 g/mol. The element with the closest match is magnesium (Mg), which has a mass-to-charge ratio of 24.31 g/mol. Therefore, the unknown particle is likely to be a magnesium ion (Mg²⁺).