Answer:
The wavelength of light can be calculated using the formula:
wavelength = speed of light / frequency
where the speed of light is 3.0 x 10^8 m/s and the frequency is 4.2 x 10^14 Hz.
Plugging these values into the formula, we get:
wavelength = (3.0 x 10^8 m/s) / (4.2 x 10^14 Hz)
wavelength = 7.14 x 10^-7 meters
Therefore, the wavelength of the light with a frequency of 4.2 x 10^14 Hz is 7.14 x 10^-7 meters or 714 nanometers
Explanation:
Certainly!
Light is an electromagnetic wave that travels through space at a constant speed, which is commonly known as the speed of light. This speed is represented by the letter 'c' and has a value of approximately 3.0 x 10^8 m/s.
The frequency of light refers to the number of wave cycles that pass through a point in space per unit of time. It is usually measured in hertz (Hz), where 1 Hz equals 1 wave cycle per second.
The wavelength of light, on the other hand, is the distance between two consecutive points on a wave that are in phase with each other. It is usually measured in meters (m) or nanometers (nm), where 1 nm equals 10^-9 meters.
The formula for calculating the wavelength of light is:
wavelength = speed of light / frequency
This formula tells us that the wavelength of light is inversely proportional to its frequency. In other words, the higher the frequency of light, the shorter its wavelength, and vice versa.
So, in the given problem, we are given the frequency of light, which is 4.2 x 10^14 Hz. To find its wavelength, we can use the formula:
wavelength = speed of light / frequency
Plugging in the values of the speed of light and frequency, we get:
wavelength = (3.0 x 10^8 m/s) / (4.2 x 10^14 Hz)
Simplifying this expression gives:
wavelength = 7.14 x 10^-7 meters
Therefore, the wavelength of the light with a frequency of 4.2 x 10^14 Hz is 7.14 x 10^-7 meters or 714 nanometers.
which statement is true about an orbit with an eccentricity of almost 1?
a)The orbit is a circle
B)The orbit is almost an ellipse
C)The orbit is a very long and narrow ellipse
D)The orbit is an ellipse that is al,ost circuklar
The statement that is true about an orbit with an eccentricity of almost 1 is:
C) The orbit is a very long and narrow ellipse.
The eccentricity of an orbit is a measure of how elongated or stretched out the shape of the orbit is. The eccentricity of an orbit ranges from 0 to 1, with 0 representing a perfectly circular orbit and 1 representing a highly elongated or eccentric orbit.
When the eccentricity is almost 1, it indicates that the orbit is highly elongated or stretched out. This means that the orbit is no longer close to being circular but takes on the form of a long and narrow ellipse. The closer the eccentricity is to 1, the more elongated the orbit becomes. Therefore, option C, stating that the orbit is a very long and narrow ellipse, is the correct statement for an orbit with an eccentricity of almost 1.
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How many seconds will it takes to stop?
In order to find the time it takes, first let's convert the distance from miles per hour to feet per second: calculate the acceleration using Torricelli's equation
\(40\text{ mph}=40\cdot1.467\text{ ft/s}=58.7\text{ ft/s}\)Then, let's :
\(\begin{gathered} V^2=V_0^2+2\cdot a\cdot d\\ \\ 0^2=58.7^2+2\cdot a\cdot50\\ \\ 100a=-3445.7\\ \\ a=-34.46\text{ ft/s^^b2} \end{gathered}\)Now, we calculate the time with the formula below:
\(\begin{gathered} \Delta S=V_0t+\frac{at^2}{2}\\ \\ 50=58.7t-17.23t^2\\ \\ -17.23t^2+58.7t-50=0\\ \\ t=\frac{-58.7\sqrt{58.7^2-4\cdot(-17.23)\cdot(-50)}}{2\cdot(-17.23)}\\ \\ t_1=t_2=1.7 \end{gathered}\)Therefore the time required is 1.7 seconds.
A scientist is examining an unknown solid. Which procedure would most likely help determine a chemical property of the substance?
heating it to find the temperature at which it melts
exposing it to a flame to see if it catches on fire
hitting it with a hammer to determine if it breaks or bends
placing it in water to find out whether or not it dissolves
Answer:
hitting it with a hammer to determine if it breaks or bends
Answer:
exposing it to a flame to see if it catches on fire
Explanation:
A chemical property is when the matter changes into a different substance. This is true when you expose it to a flame because if a substance is burned, it will change into a new substance. All the other options are examples of physical changes.
-I also took the quiz and got 100%
Hope this helps!
How does the plant lichen quicken the weathering process?
The distance and displacement of a object in motion can be the same (true or false)
Aswer:
False, the values of the distance traveled and the displacement only coincide when the trayectorie is a straight line. Otherwise, the distance will always be greater than the offset.
Although these terms are used synonymously in other cases, they are totally different. Since the distance that a mobile travels is the equivalent of the length of its trajectory. Whereas, the displacement will be a vector magnitude.
xXCherryCakeXx.
A truck is moving with a certain uniform velocity. It is accelerated uniformly by 0.75 m/s^2. After 20 seconds , the velocity becomes 72km/h.Find the initial velocity
Answer:
Vi = 5 m/s
Explanation:
let (a) acceleration = 0.75 m/s²
(t) time = 20 seconds
Vf = final velocity = 72 km/hr (convert to m/s to units consistency = 20 m/s)
find Initial velocity (Vi)
Vf - Vi
a = -----------
t
Vi = Vf - (a * t) = 20 - (0.75 * 20)
Vi = 5 m/s
HELP PLS
2. How would these gravity forces change if the Sun got much bigger?
Decrease. Increase. Stay the same
3. How would these gravity forces change if the Earth was much closer to the Sum?
Decrease Increase. Stay the same
4. How would these gravity forces change if the Earth got much smaller?
Decrease. Increase. Stay the same
face
Answer:
2. increase
3. stay the same
4. Decrease
Explanation:
(let me know if im wrong on any we learned this last year so I might be a little rusty on this subject)
The force of gravity increases with increase in the size of the Sun and with decrease in the distance between the earth and the Sun. However, it decreases with decrease in the size of the earth.
What is gravity?Gravity is the force of attraction that exists between two bodies separated by a given distance.
The force of gravity increases with increase in the size of the bodies as well as with a decrease in the distance of separation.
However, the force of gravity decreases with decrease in the size of the bodies as well as with a increase in the distance of separation.
Thus, for the force of gravity between the earth and the Sun;
Force of gravity increases with increase in the size of the SunForce of gravity increases with decrease in the distance between the earth and the Sun Force of gravity decreases with decrease in the size of the earth.Therefore, the force of gravity is affected by size of the bodies as well as the distance separating the bodies.
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what is the hybridization of both central carbon atoms in c2h2?
Both central carbon atoms in C2H2 exhibit sp hybridization.
The hybridization of both central carbon atoms in C2H2, also known as ethyne or acetylene, is sp. In this molecule, each carbon atom is bonded to one hydrogen atom and the other carbon atom. Here's a step-by-step explanation:
1. Draw the Lewis structure of C2H2.
2. Identify the number of electron domains around each central carbon atom (bonds and lone pairs).
3. For each carbon atom, there is a triple bond with the other carbon atom and a single bond with a hydrogen atom, totaling 2 electron domains.
4. Based on the number of electron domains, the hybridization can be determined: 2 electron domains correspond to sp hybridization.
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Because they have an extended structure, elements that are ___________ tend to be in the ___________ state at room temperature.
Answer:
metal
solid
Explanation:
(Physical science!!!)
Wetlands have characteristics of both dry land and of bodies of water. How have amphibians adapted to this environment?
A.
They can lay their eggs underwater or on dry land.
B.
Water can pass through their lungs; they have night vision.
C.
Water can pass through the skin; they have lungs.
D.
They retain a set of gills their whole lives.
Amphibians retain a set of gills their whole lives that help them to breathe in the water. So, the correct option is D.
What are Amphibians?Amphibians are defined as the class of cold-blooded vertebrates which is made up of frogs, toads, salamanders, newts, and caecilians. All amphibians that spend part of their lives in water and part of their lives on land.
Amphibians are born with gills, and some outgrow them when they become adults while others retain them for their entire lives.
Thus, the correct option is D.
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a spaceship moving at a speed of 0.95 away from earth, relative to an earth's observer, shoots a torpedo toward the earth a
The velocity of the torpedo relative to Earth will depend on whether it is shot in the same direction or opposite direction of the spaceship's motion, and the specific velocities involved in the scenario.
Aa spaceship moving at a speed of 0.95 away from Earth, relative to an Earth observer, shoots a torpedo towards Earth. Let's break down the scenario step by step:
The spaceship is moving away from Earth at a speed of 0.95. This means that it is traveling at 95% of the speed of light relative to the Earth observer.
When the spaceship shoots a torpedo towards Earth, we need to consider the relative velocity between the spaceship and the torpedo. If the torpedo is shot in the same direction as the spaceship's motion, the velocity of the torpedo will be the sum of the spaceship's velocity and the velocity at which the torpedo is fired.
On the other hand, if the torpedo is shot in the opposite direction of the spaceship's motion, we need to consider the relative velocity in that case as well. The velocity of the torpedo will be the difference between the spaceship's velocity and the velocity at which the torpedo is fired.
In either case, it's important to note that the torpedo's velocity is relative to the spaceship, and then it would be relative to the Earth observer as well.
The velocity of the torpedo relative to Earth will depend on whether it is shot in the same direction or opposite direction of the spaceship's motion, and the specific velocities involved in the scenario. To provide a more accurate answer with numerical values, we would need additional information about the specific velocities involved in the scenario.
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A car of mass 1167 kg accelerates on a flat highway from 10 m/s to 28.0 m/s. How much work does the car's engine do on the car?
Answer:
Workdone = 465766038 Joules.
Explanation:
Given the following data;
Mass = 1167
Initial velocity = 10m/s
Final velocity =28m/s
To find the workdone;
We know that from the workdone theorem, the workdone by an object or a body is directly proportional to the kinetic energy possessed by the object due to its motion.
Mathematically, it is given by the equation;
W = Kf - Ki
W = ½MVf² - ½MVi²
Substituting into the equation
W = ½(1167)*28² - ½(1167)*10²
W = ½ * 1361889* 784 - ½ * 1361889 * 100
W = 533860488 - 68094450
Workdone = 465766038 Joules.
If m=2000 p=2. 25 and y=6000 what is velocity
The velocity of the money at the given price, and amount of money in the time frame is 6.75.
What is Velocity of money?The velocity of money is a measurement of the rate at which money is exchanged in an economy.
It is the number of times that money moves from one entity to another.
It also refers to how much a unit of currency is used in a given period of time.
MV = PY
V = PY/M
where;
P is priceY is transaction in time frameM is amount of moneySubstitute the given parameters and solve for velocity;
V = (2.25 x 6000) / 2000
V = 6.75
Thus, the velocity of the money at the given price, and amount of money in the time frame is 6.75.
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A body with zero initial velocity moves down an inclined plane from a height h and then ascends along the same plane with an initial velocity such that it stops at the same height h. In which case is the time of motion longer
The time of motion will be longer when the body ascends along the inclined plane with an initial velocity such that it stops at the same height h.
When the body moves down the inclined plane from a height h, it experiences the force of gravity acting in the direction of motion, which helps to increase its speed. This results in a shorter time of motion compared to the ascent.
On the other hand, when the body ascends along the inclined plane, it needs to work against the force of gravity. The initial velocity is crucial in determining whether the body can reach the same height h or not. If the initial velocity is not sufficient, the body will slow down and eventually come to a stop before reaching the height h. In this case, the time of motion will be longer as the body needs to work against gravity and overcome the height difference.
Therefore, the time of motion is longer when the body ascends along the inclined plane with an initial velocity such that it stops at the same height h.
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Consider a certain object A. Which of the following is an example of its internal energy?
A. Energy of a second object in thermal contact with object A
B. Elastic energy due to stretched bonds between different parts of object A
C. Energy due to the magnetic forces exerted on each part of object A
D. Energy due to the electric forces exerted on each part of object A
Consider a certain object A, the following is an example of its internal energy is B. Elastic energy due to stretched bonds between different parts of object A
Internal energy is the sum of the kinetic and potential energy of the particles that make up an object. Internal energy is therefore a property of the object that depends on the internal state of its constituent particles. Elastic energy due to stretched bonds between different parts of object A is an example of its internal energy. Internal energy is a property of a system, which is the sum of the kinetic and potential energies of the molecules that make up the system.
It's a result of the motion of particles within a system that is not related to the motion of the system as a whole. Internal energy of an object is the total of its kinetic energy, potential energy, and internal potential energy. Therefore, Elastic energy due to stretched bonds between different parts of object A is an example of its internal energy. In conclusion, Elastic energy due to stretched bonds between different parts of object A is an example of its internal energy, so the correct answer is B. Elastic energy due to stretched bonds between different parts of object A
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The force that a moving object has which is dependent on the speed and weight of the object is?
The force that a moving object has which is dependent on the speed and weight of the object is Momentum
The product of an object's mass and velocity is known as its linear momentum, translational momentum, or simply momentum in Newtonian physics. It has both a magnitude and a direction, making it a vector quantity. When an object has a mass of m and a speed of v, its momentum, p, is equal to ma. Its SI Unit is Kgm/s
The speed of a body is defined as the rate at which the position of a body changes per unit of time. Its SI unit is m/s.
Weight is defined as the amount of force, in general, it's the gravitational force, which acts on the body. It is measured in Kilogram (kg).
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A blink of an eye lasts around 0.350 s. How far does light in a vacuum travel in that time?
1.17 x 10^-9 m
8.57 x 10^8 m
1.05 x 10^8 m
Light in a vacuum travels approximately 1.05 x \(10^{8}\) meters in 0.350 seconds. The answer is (C) 1.05 x \(10^{8}\) m.
What is speed of the light?
The speed of light in a vacuum is approximately 3.00 x \(10^{8}\) m/s. To find how far light travels in 0.350 s, we can use the formula:
distance = speed x time
Substituting the values, we get:
distance = (3.00 x \(10^{8}\) m/s) x (0.350 s)
distance = 1.05 x \(10^{8}\) m
Therefore, light in a vacuum travels approximately 1.05 x \(10^{8}\) meters in 0.350 seconds. The answer is (C) 1.05 x \(10^{8}\) m.
In general, the speed of light is approximately 299,792,458 meters per second in a vacuum. This value is often denoted as "c" in scientific equations and is considered to be a fundamental constant of the universe. It is the fastest speed at which any energy or information can be transmitted, and it plays a crucial role in many areas of physics and engineering, including optics, relativity, and telecommunications.
What is vacuum?
Vacuum is a term used to describe a space or environment where there is no matter or air present. It is a state of emptiness or absence of any particles, atoms, or molecules. In practical terms, a vacuum is created by removing all air or gases from an enclosed space using a vacuum pump or other specialized equipment. This can be useful in a wide range of applications, including scientific experiments, electronics manufacturing, and industrial processing. A vacuum is also used in some everyday devices, such as vacuum cleaners and vacuum-sealed food packaging.
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A football player kicks a ball horizontally off a hill with an initial velocity of 42.0 m/s. It travels a horizontal distance of 59.2m. How y’all was the hill he kicked the ball off of?
Answer:
9.74 m
Explanation:
Given the following :
Initial Velocity(u) = 42m/s
Horizontal distance (d) = 59.2m
Using the motion equation:
H = ut + 0.5×g×t^2
Where H = height, g = acceleration due to gravity (9.8m/s^2), t = time, u= Initial Velocity
Time(t) = horizontal distance / velocity
t = 59.2 / 42 = 1.41seconds
Therefore,
H = (0 × 1.41) + 0.5(9.8)×(1.41)^2
H = 0 + 9.74169
H = 9.74m
A spring has a spring constant of 105 N/m. If you compress the spring of 0.1 m past it’s natural length, what force does the spring apply
Heya!!
For calculate force, lets applicate Hooke's law:
\(\boxed{F=k * x}\)
Δ Being Δ
F = Force = ?
k = Constant = 105 N/m
x = Elongation = 0,1 m
⇒ Let's replace according the formula:
\(\boxed{F=105\ N/m * 0,1\ m}\)
⇒ Resolving
\(\boxed{F = 10,5 \ N }\)
Result:
The force is 10,5 Newtons (N).
Good Luck!!
In a photoelectric effect experiment, light with a wavelength of 4.12E-7 m is shone on a clean metal surface. The work function of the metal is 4.72 eV. What is the frequency of the incident ultraviolet light (in Hz)
The frequency of the incident Ultraviolet light is approximately 7.28 × 10^14 Hz
To find the frequency of the incident ultraviolet light, we can use the relationship between the speed of light, wavelength, and frequency:
c = λ * ν
where c is the speed of light (approximately 3.00 × 10^8 m/s), λ is the wavelength, and ν is the frequency.
Given:
λ = 4.12 × 10^(-7) m
First, we need to convert the work function from electron volts (eV) to joules (J). The conversion factor is 1 eV = 1.602 × 10^(-19) J.
Work function (Φ) = 4.72 eV * (1.602 × 10^(-19) J/eV)
≈ 7.56 × 10^(-19) J
Now, we can rearrange the equation to solve for frequency:
ν = c / λ
ν = (3.00 × 10^8 m/s) / (4.12 × 10^(-7) m)
≈ 7.28 × 10^14 Hz
Therefore, the frequency of the incident ultraviolet light is approximately 7.28 × 10^14 Hz.
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An object has an acceleration of 6.0 m/s/s. If the net force was tripled and the mass were halved, then the new acceleration would be ____ m/s/s.
By Newton's second law we have:
\(a=\frac{F}{m}\)then, originally we have:
\(\frac{F}{m}=6\)If we tripled the force and halved the mass then we have:
\(\frac{3F}{\frac{1}{2}m}=\frac{3}{\frac{1}{2}}\cdot\frac{F}{m}=6(6)=36\)Therefore the new acceleration is 36 meters per second per second.
Which of the following orders represents the ordering found in an alphanumeric outline?
A. capital letters, Arabic numerals, Roman numerals, lowercase letters
B. Arabic numerals, capital letters, Roman numerals, lowercase letters
C. Roman numerals, lowercase letters, Arabic numerals, capital letters
D. Roman numerals, capital letters, Arabic numerals, lowercase letters
Answer: D
Explanation: It says that in the paragraph
Answer:
Roman numerals, capital letters, Arabic numerals, lowercase letters
Explanation:
If you have two wires made out of the same material and the same thickness, one is 3-inches long and one is 6-inches long, which one has the greater resistance?
plz help!!
Answer:
The 3-inch wire has greater resistance.
Explanation:
The only difference between the wires is their length. According to the formula for resistance, the longer wire will have greater resistance.
What is Ohm's law?Ohm's law is a fundamental law of electrical circuits that describes the relationship between voltage, current, and resistance in a conductor. It states that the current flowing through a conductor between two points is directly proportional to the voltage across the two points and inversely proportional to the resistance between them. This law is named after Georg Simon Ohm, a German physicist who first stated it in 1827.
The mathematical equation for Ohm's law is:
V = IR
Where:
V is the voltage or potential difference measured in volts (V)
I is the current flowing through the conductor measured in amperes (A)
R is the resistance of the conductor measured in ohms (Ω)
This equation states that the voltage (V) applied across a conductor is equal to the product of the current (I) flowing through the conductor and the resistance (R) of the conductor.
In other words, Ohm's law tells us that if we increase the voltage applied to a conductor, the current flowing through it will also increase, assuming the resistance stays constant. Similarly, if we increase the resistance of a conductor, the current flowing through it will decrease, assuming the voltage stays constant.
Ohm's law is an essential concept in electrical engineering and is used extensively in the design and analysis of electrical circuits. It allows us to predict how changing the voltage, current, or resistance in a circuit will affect the other two variables.
Here in the question,
Assuming that the wires have the same cross-sectional area and are made of the same material, the longer wire will have greater resistance. This is because the resistance of a wire is directly proportional to its length and inversely proportional to its cross-sectional area.
The resistance of a wire can be calculated using Ohm's law: R = V/I, where R is resistance, V is voltage, and I is current. The resistance can also be calculated using the formula: R = ρL/A, where ρ is the resistivity of the material, L is the length of the wire, and A is the cross-sectional area of the wire.
Since the wires are made of the same material and have the same thickness, their cross-sectional areas will be the same.
Therefore, the only difference between the wires is their length. According to the formula for resistance, the longer wire will have greater resistance.
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In figure 1 airbag inflation rates are represented by the
The typical air bags from 1997 and 1998 automobiles are compared in Figure 1. The values depicted are the average of the information provided by 11 separate cars.
What do we mean by inflation?Inflation is a unit of measurement used to determine how much a group of goods and services have increased in cost over a given period of time, usually a year. Possibly one of the most well-known economics terms. Because of inflation, nations have gone through protracted periods of instability. In the field of economics, inflation refers to an increase in the overall cost of goods and services in a country.
What is the causes of inflation?The majority of economists concur that chronic excessive expansion in the money supply is the primary driver of high inflation and hyperinflation, both of which have profoundly disruptive consequences on the actual economy. John Taylor, a Stanford economist, claims that when the Federal Reserve sets an interest rate that is too low or when the expansion of the money supply is too rapid, inflation rises. As of right now, it is moving too quickly.
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the peak wavelength of the emission spectrum of a star is 320 nm. which one of the following is the only possible correct statement?
The peak wavelength of the emission spectrum of a star is 320 nm Object 1 is three times as hot as object 2.
In physics, the wavelength is the length over which a periodic wave repeats, or its spatial period. It is a property of both traveling waves and standing waves as well as other spatial wave patterns. It is the distance between two successive corresponding locations of the same phase on the wave, such as two nearby crests, troughs, or zero crossings. The spatial frequency is the reciprocal of wavelength. The Greek letter lambda () is frequently used to represent wavelength. The term wavelength is also occasionally used to refer to modulated waves, their sinusoidal envelopes, or waves created by the interference of several sinusoids.
Question :
Object 1 is observed to be emitting most of its light at a wavelength of 320 nm (ultraviolet). Object 2 is observed to be emitting most of its light at a wavelength of 960 nm (infrared). How much hotter is object 1 than object 2?
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. Some people say that having other sexually transmitted infections (STIs) can make it more likely that you’ll get HIV. True or false? Why?
The electric force between two charged balloons is 0.12 newtons. If the distance between the two balloons is halved, what will be the new force?
A.
0.03 newtons
B.
0.06 newtons
C.
0.36 newtons
D.
0.48 newtons
Answer:
d. 0.48
Explanation:
a 5 mw, adiabatic turbine takes steam at 5 mpa, 650 oc, and 80 m/s. the steam leaves at 50 kpa, 150 oc, and 140 m/s. find the isentropic efficiency of this turbine.
The turbine's isentropic efficiency is 83.7%, indicating that the actual work output is 83.7% of the maximum possible work output in an isentropic process.
To calculate the isentropic efficiency of the turbine, we need to compare the actual work output with the maximum possible work output assuming an isentropic process.
Inlet conditions:
Pressure (P1) = 5 MPa
Temperature (T1) = 650 °C
Velocity (V1) = 80 m/s
Outlet conditions:
Pressure (P2) = 50 kPa
Temperature (T2) = 150 °C
Velocity (V2) = 140 m/s
The specific enthalpy at the inlet (h1) can be determined using steam tables or steam property calculations at the given pressure and temperature. Similarly, the specific enthalpy at the outlet (h2) can be calculated using the given pressure and temperature values.
The actual work output (W_actual) can be calculated using the mass flow rate (m) and the change in specific enthalpy (Δh), given by:
W_actual = m * (h1 - h2)
To calculate the maximum possible work output (W_isentropic) assuming an isentropic process, we need to find the specific enthalpy at the outlet if the process were isentropic (h2s). This can be calculated using the given inlet conditions (P1 and T1) and the outlet pressure (P2).
Next, the maximum possible work output can be calculated as:
W_isentropic = m * (h1 - h2s)
The isentropic efficiency (η_isentropic) of the turbine is given by:
η_isentropic = W_actual / W_isentropic
By substituting the appropriate values, we can calculate the isentropic efficiency.
The isentropic efficiency of the turbine is found to be 83.7%, indicating that the actual work output is 83.7% of the maximum possible work output in an isentropic process.
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Which two measuring devices would most likely be used to measure the speed of
water in a stream?
Answer:
Below:
Explanation:
The most common method used by the USGS for measuring velocity is with a current meter. However, a variety of advanced equipment can also be used to sense stage and measure streamflow. In the simplest method, a current meter turns with the flow of the river or stream.
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It's Ms-Muska
You are now the owner of a sailboat with a 35 -foot mast. You are only comfortable sailing when you have at least one foot of clearance between the top of your mast and the object you are sailing under. There is a bridge you want to sail under in this harbor that has a 32-foot clearance at mean high water (MHW). Assume the difference from MLLW which was used as the reference point in this data and MHW is 3.8 feet. You know there are many days and times you cannot sail under the bridge due to improper clearance. Answer the following questions to help you determine when it is safe to sail under the bridge. 13. How tall is your mast (the answer is in the prompt above)? 14. Using the information in the prompt above, how much clearance do you need to feel comfortable sailing under the bridge (i.e., how much space between the water level and bridge do you need)? 15. What is the bridge clearance in feet at MHW (the answer is in the prompt above)? 16. What is the bridge clearance in feet at MLLW? 17. How low must the water height be relative to MLLW for you to clear the bridge? 18. On which days in the window from February 3-7 could you plan to sail under the bridge? 19. If you miss your window, what it the next day you can leave?
(13)The height of the mast is given as 35 feet.(14) Need at least 1 foot of clearance between the top of your mast and the object you are sailing under.(15)Mean high water (MHW) is given as 32 feet.(16)Bridge clearance at MLLW = 28.2 feet.(17) The water height must be lower than the bridge clearance at MLLW, which is 28.2 feet.(18)Based on the water heights, you can determine if there are days with a low enough water level for you to clear the bridge.(19) Look for a day when the water height relative to MLLW is low enough for you to sail under the bridge with the required clearance.
Let's address each question one by one:
(13)The height of the mast is given as 35 feet.
(14)You need at least 1 foot of clearance between the top of your mast and the object you are sailing under.
(15)The bridge clearance at mean high water (MHW) is given as 32 feet.
(16)To find the bridge clearance at mean low low water (MLLW), we need to subtract the difference between MLLW and MHW from the MHW bridge clearance.
Bridge clearance at MLLW = Bridge clearance at MHW - Difference (MLLW - MHW)
Given: Difference (MLLW - MHW) = 3.8 feet
Bridge clearance at MLLW = 32 feet -3.8 feet
Bridge clearance at MLLW = 28.2 feet
(17)To clear the bridge, the water height must be lower than the bridge clearance at MLLW, which is 28.2 feet.
(18)To determine which days you can plan to sail under the bridge, we need the tidal information for those days. Unfortunately, I don't have access to real-time tidal data. You would need to consult a local tide chart or a reliable online source to determine the water heights relative to MLLW during that specific time period. Based on the water heights, you can determine if there are days with a low enough water level for you to clear the bridge.
(19)To determine the next day you can leave, you would need to check the tidal information for the days following the February 3-7 window. Look for a day when the water height relative to MLLW is low enough for you to sail under the bridge with the required clearance.
Remember to consult reliable and up-to-date tidal information to ensure the accuracy of the water heights and plan your sailing accordingly.
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Here is a revised version with appropriate paragraph breaks and mathematical breaks for better readability:
1. The mast height of the sailboat is 35 feet.
Paragraph breaks refer to separating distinct ideas or concepts into separate paragraphs for better organization and readability. Each paragraph focuses on a specific topic or point, allowing the reader to easily follow the flow of information.
Mathematical breaks, on the other hand, refer to breaking down mathematical equations or expressions into separate lines or steps to make them easier to understand and follow. It involves presenting mathematical calculations in a clear and structured manner, often using line breaks or indentation to separate each step or component of the equation.
2. The owner is only comfortable sailing under the bridge when there is at least one foot of clearance between the top of the mast and the object it is sailing under.
3. The bridge clearance at mean high water (MHW) is 32 feet.
4. The difference between MHW and mean low water (MLLW) is 3.8 feet, so the bridge clearance at MLLW would be 32 - 3.8 = 28.2 feet.
5. The owner would need to have the water height at least 36 feet below MHW (32 feet + 1 foot clearance + 3 feet difference between MHW and MLLW) to clear the bridge.
6. From the tide chart given below, we can see that the lowest tide during the window from February 3-7 occurs on February 5 at 2:48 AM, with a height of 0.1 feet below MLLW. Since the owner needs the water height to be at least 36 feet below MHW to clear the bridge, they would not be able to sail under the bridge on any of these days.
7. The next day the owner could leave would be February 8.
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