As the velocity of the wave increases, the wavelength of the wave decreases while the frequency remains constant.
The time derivative of the phase expression for a wave propagating in the z-direction is ωt - βz is the velocity expression.
The phase expression for a wave propagating in the z-direction including time variation is given as;
φ = ωt - βzwhere:φ is the phase angleω is the angular frequency t is the timeβ is the phase constant z is the distance travelled by the wave
The constant phase point on the wave has a constant phase angle, thus the phase angle is constant with respect to time and position along the wave.
So, the derivative of φ with respect to t will yield only ω since βz is a constant term that doesn't depend on time.
Taking the time derivative of φ gives;
dφ/dt = d/dt (ωt - βz) ⇒ dφ/dt
= ω
Similarly, the derivative of φ with respect to z will yield only β since ωt is a constant term that doesn't depend on the position along the wave. Taking the derivative of φ with respect to z gives;
dφ/dz = d/dz (ωt - βz) ⇒ dφ/dz
= - β
Therefore, the velocity expression is given as;v = ω/β
The velocity expression can also be expressed in terms of wavelength as; v = λf
where: λ is the wavelength of the wave w is the frequency of the wave
From the equation above, the wavelength of a wave is inversely proportional to its frequency. A higher frequency wave will have a shorter wavelength than a lower frequency wave.
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If the escalator pulls you up a slope of 30.0o and moves with a velocity of 3.10m/s. What is the vertical component of your velocity? What is the horizontal component of your velocity?
Answer:
\(1.55\ \text{m/s}\)
\(2.68\ \text{m/s}\)
Explanation:
v = Velocity of the elevator = 3.1 m/s
\(\theta\) = Angle of the slope = \(30^{\circ}\)
Vertical component is given by
\(v_y=v\sin\theta\\\Rightarrow v_y=3.1\sin30^{\circ}\\\Rightarrow v_y=1.55\ \text{m/s}\)
The vertical component of the velocity is \(1.55\ \text{m/s}\).
Horizontal component is given by
\(v_x=v\cos\theta\\\Rightarrow v_x=3.1\times \cos30^{\circ}\\\Rightarrow v_x=2.68\ \text{m/s}\)
The horizontal component of the velocity is \(2.68\ \text{m/s}\).
Which statement about diffraction is correct?
O The amplitudes of two waves combine to appear as one big wave.
O Sound waves bend around the corners of various obstacles.
O The amplitudes of two waves combine to appear as a wave smaller than the individual waves.
O Sound waves can only travel in straight lines.
Answer:
Sound waves bend around the corners of various obstacles.
Explanation:
I took the test
If you have a volume of 10 mL and a mass of 100 g, what is the density
Answer:
v devided by m and answer is 0.1
Explanation:
v
m
please explain concave lenses. according to class 8th please..
Concave lens is also called negative lens or a diverging lens. There are many uses of the concave lens, like in telescopes, cameras, lasers, glasses, binoculars and others.
What is concave lens?Concave lenses has at least one surface curved inside. Concave lens is also known as a diverging lens because it is shaped round inwards at center and bulges outwards through edges, making light diverge. They are used to treat myopia as they make faraway objects look smaller than they actually are.
Concave lens is thinner in the middle and thicker at the edges whereas convex lens is thicker in the middle and thinner at edges.
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Which of the following statements best describes the method of energy conservation known as cogeneration?
Answer:
heat and power
Explanation:
is the simultaneous production of electricity and heat both of which are used
Exercise 31. 9 - enhanced - with feedback a 0. 160 h inductor is connected in series with a 89 ω resistor and an ac source. the voltage across the inductor is vl= what is vr at 1. 98 ms?
In conclusion, to find Vr at t = 1.98 ms, we need to use the equation Vl = jωL * I to find I and then use Ohm's Law equation Vr = I * R to find Vr.
The voltage across an inductor in an AC circuit is given by the formula Vl = jωL * I, where Vl is the voltage across the inductor, j is the imaginary unit, ω is the angular frequency of the AC source, L is the inductance of the inductor, and I is the current flowing through the inductor.
In this case, we are given that the inductance of the inductor is 0.160 H and the voltage across the inductor is Vl. We need to find the voltage across the resistor, Vr, at a specific time, t = 1.98 ms.
To find Vr, we can use Ohm's Law, which states that Vr = I * R, where Vr is the voltage across the resistor, I is the current flowing through the resistor, and R is the resistance of the resistor.
Since the inductor and resistor are connected in series, the current flowing through them is the same. Therefore, we can use the equation Vl = jωL * I to find I, and then use Ohm's Law to find Vr.
By substituting the given values into the equation Vl = jωL * I and solving for I, we can find the current flowing through the circuit.
Finally, by substituting the found value of I into Ohm's Law equation Vr = I * R and solving for Vr, we can find the voltage across the resistor at t = 1.98 ms.
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If a motor uses 16 W of power to exert a force of 12,000 N to lift an
elevator 8 m, how much time did it take the elevator?
Answer:
\( \longrightarrow \boxed{ \boxed{ \tt{6000 \: s}}}\)
Hope this helps! <3
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The pressure at the bottom of a lake is 300 000 N/m2 more than at the surface of the lake. The lake is fresh water (density = 1000 kg/m3).
Answer:
h = 30.61 m
Explanation:
In this problem they indicate the pressure at the bottom of the lake and the density of the water, for which they must ask what is the depth of the lake.
The pressure is given by the expression
P = \(P_{atm}\) + rho g h
P - P_{atm} = rho g h
The gauge pressure value is P- P_{atm} = 3 105 N / m²
h = \(\frac{P - P_{atm}}{ \rho \ g}\)
let's calculate
h = \(\frac{3 \ 10^5}{1000 \ 9.8}\)
h = 30.61 m
the density of iron is 7.8 g/cm3, what is the mass of 5cm3 of it?
Explanation:
Mass = volume × density
⇒ mass of iron = (5 cm³ ) (7.8 g/cm³)
= 39.0 g
Cindy runs 2 kilometers every morning. She takes 2 minutes for the first 250 meters, 4 minutes for the next 1,000 meters, 1 minute for the next 350 meters, and 3 minutes for the rest.
Cindy’s average speed for the entire run is
meters per minute. One kilometer is the same as 1,000 meters.
Answer:
200 m / min
Explanation:
Total distance = 2000 m
Total time = 2+4+1+3 = 10 minutes
Average speed = 2000 m / 10 min = 200 m/min
find the potential energy of a diver of mass 75kg at a height of 10m above a swimming pool g=9.8m
Answer:
\( \boxed{\sf Potential \ energy \ (PE) = 7.35 \ kJ} \)
Given:
Mass (m) = 75 kg
Height (h) = 10 m
Acceleration due to gravity (g) = 9.8 m/s²
To Find:
Potential Energy (PE)
Explanation:
The formula for potential energy due to gravity:
\( \boxed{ \bold{PE = mgh}}\)
Substituting value of m, g & h in the formula:
\( \sf \implies PE = 75 \times 10 \times 9.8 \\ \\ \sf \implies PE = 7350 \: J \\ \\ \sf \implies PE = 7.35 \: kJ\)
in a ballistic pendulum experiment, projectile 1 results in a maximum height h of the pendulum equal to 2.6 cm. a second projectile (of the same mass) causes the the pendulum to swing twice as high, 5.2 cm.
The second projectile is 1.4 times faster than first projectile.
Initial velocity of projectile is proportional to the square root of height covered by pendulum.
From the question, we have
U_2/U_1 =√(h_2/h_1 )
U_2 =√(h_2/h_1 )×U_1
U_2 =√(5.2/2.6)×U_1
U_2= 1.41U_1
The second projectile is 1.4 times faster than first projectile.
Projectile:
The object that is propelled by the application of an external force and then moves freely while being affected by gravity and air resistance is referred to as a projectile. Despite the fact that all items traveling through space are projectiles, they are frequently used in sports and warfare.
Complete question:
In a ballistic pendulum experiment, projectile 1 results in a maximum height h of the pendulum equal to 2.6 cm. A second projectile (of the same mass) causes the the pendulum to swing twice as high, h2 = 5.2 cm. The second projectile was how many times faster than the first?
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you have an 85 m cable run to a poe camera. why do you prefer to use cat 6a as opposed to cat6 cable? because cat 6 cable is not really meant to support poe cameras. because the attenuation caused by the longer distance will cause signal loss not only for the camera video, but also for the dc power. you should not be using either. you should be using cat 5e cable instead. because cat 6 cable is meant to support 100 mb, whereas cat 6a is meant to support 1000 mb.
The correct answer is: "Because the attenuation caused by the longer distance will cause signal loss not only for the camera video but also for the DC power."
When using Power over Ethernet (PoE) for devices like cameras, it's crucial to consider the distance and the potential signal loss that may occur. Attenuation refers to the decrease in signal strength as it travels through the cable. Over longer cable runs, attenuation becomes a significant factor that can affect both the video signal and the power delivered to the PoE device.
Cat 6a cable is preferred over Cat 6 in this scenario because it has better performance characteristics and reduced attenuation over longer distances. Cat 6a cable is designed to support 10 Gigabit Ethernet (10GBASE-T) at distances up to 100 meters. It provides improved transmission performance, including reduced crosstalk and higher bandwidth.
On the other hand, Cat 6 cable is typically designed for 1 Gigabit Ethernet (1000BASE-T) at shorter distances. While it may work for some PoE applications, the attenuation caused by the longer cable run can lead to signal loss, affecting both the camera video and the DC power transmitted through the cable.
Cat 5e cable is also a suitable option for PoE applications, as it can support both data and power transmission over shorter distances. However, for longer cable runs, Cat 6a is preferred due to its superior performance and reduced signal loss.
In summary, when dealing with an 85-meter cable run to a PoE camera, Cat 6a is the preferred choice over Cat 6 due to its better attenuation characteristics, ensuring reliable transmission of both video and power signals.
Hence, the correct answer is: "Because the attenuation caused by the longer distance will cause signal loss not only for the camera video but also for the DC power."
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if the cost of electrical energy is $0.075 per kilowatt-hour, how much does it cost to operate the light for an hour?
$0.075 is the cost to operate the light for an hour.
As per the given information,
The cost of electrical energy = $0.075 per kilowatt-hour
Kilowatt-hours, or kWh, are the measure of electrical energy. They are calculated by multiplying the amount of power used (measured in kW) by the number of hours during which it is used. The total cost of energy is calculated by multiplying that figure by the price per kWh.
If we assume that the light uses 1 kilowatt-hour of electrical energy every hour of use, we can compute the cost of running the light for an hour as follows:
Cost = Energy used x Cost per kilowatt-hour
Cost = 1 kilowatt-hour x $0.075 per kilowatt-hour
Cost = $0.075
Therefore, it would cost $0.075 to operate the light for one hour. If the light consumes more or less than 1 kilowatt-hour per hour, then the cost would be proportionally higher or lower.
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What is the speed of an 800 kg automobile if it has a kinetic energy of 9.00 x 10^J?
Ek = 1/2 mv^2
9 × 10^4 = 1/2 × 800 × v^2
9 × 10^4/400 = 400 v^2 / 400
9 × 10^4/400 = v^2
√225 = v
15 ms⁻¹ = v
That's the only way I know how to work it out
I think in this case velocity and speed would be considered the same because me
s = d/t and v=d/t
one is distance travelled and the other is displacement of a body
What is different about hot air from the hair dryer and the hot steam from the pot of boiling water?
The main differences between hot air from a hair dryer and hot steam from a pot of boiling water are their moisture content, temperature, and the way they feel on the skin.
Both hot air from a hair dryer and hot steam from a pot of boiling water are forms of heated gases, but they have some fundamental differences. The main difference is that hair dryers blow out hot, dry air, while boiling water produces hot, moist steam. Hair dryers heat up the air around the heating element and then blow it out, so the air is relatively dry. In contrast, when water is heated in a pot, the water molecules gain energy and become steam, which is a gas that contains water vapor. Another difference is their temperature.
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How much power does it require to do 200 J of work in 5 s?
Answer:
soln
work done= 200J
Time taken = 5 sec
power=?
We know that,
power=w/t
= 2000/5
= 400W
Explanation:
hopw this will help you
A car goes around a curve at 20. m/s. If the radius of the curve is 40 m, what is the centripetal acceleration of the car?
Answer:
The centripetal acceleration of car is 8 m/s².
Explanation:
Are masks effective in slowing the spread of COVID-19? In a few sentences, make a hypothesis and design and describe an experiment on how you could TEST this yourself using common household materials.
Answer:
Not really, because wearing a mask can lower your immune system and covid can be caught like any other virus body contact and body fluids. So since you can still get it through those ways then you're going to get it and be worse off than if you don't wear a mask.
you can test this by not wearing a mask and see how not bad it is catching covid over getting it while you wear a mask.
Explanation:
Answer:
Yes
Explanation:
Hypothesis- if masks are used to protect yourself from Covid-19 then the spread of the virus will decrease
You could test this by:
Getting a mask and using materials such as shampoo, soap, honey, glue, or (safe) chemicals to see how much the masks absorbs the materials. By doing so you can show how the mask can help block certain materials from entering or leaving the mask area therefore slowing the spread of Covid.
Write a 650-word research paper that discusses the impacts that the sherman and clayton act had on sales in the united states.
The Sherman Antitrust Act οf 1890 and the Claytοn Antitrust Act οf 1914 are twο landmark legislatiοns in the United States aimed at prοmοting fair cοmpetitiοn and preventing mοnοpοlistic practices.
What is the Sherman Antitrust Act and Claytοn Act?Whereas the Sherman Act οnly declared mοnοpοly illegal, the Claytοn Act defined as illegal certain business practices that are cοnducive tο the fοrmatiοn οf mοnοpοlies οr that result frοm them.
The Sherman and Claytοn Acts have had prοfοund impacts οn sales in the United States. By prοmοting cοmpetitiοn, curbing mοnοpοlies, prοtecting cοnsumer welfare, fοstering innοvatiοn, and facilitating small business grοwth, these acts have created a mοre vibrant and dynamic marketplace.
The impacts οf these acts have been instrumental in shaping the sales landscape, ensuring fair and cοmpetitive practices, and ultimately benefiting cοnsumers thrοugh increased chοices, imprοved quality, and affοrdable prices. The οngοing enfοrcement and adherence tο these acts remain essential fοr maintaining a healthy and cοmpetitive sales envirοnment in the United States.
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if a person buys 10 kg apples in himalayan region and sells in terai region will he get profit or loss. why?
Answer:
he will be in profit
Explanation:
Himalayan region are high above the sea level so the gravity will be less there compared to the Terai region
Terai lies way below he Himalayan region so the pull of gravity will be more compared to Himalayan region
that's why he will be in profit but not loss
And PLEASE NO SCAMED WHAT IS WRONG AND WHAT IS RIGHT PLZZ HELP AND DO IT IN YOUR OWN WORDS BECAUSE MY TEACHER WILL KNOW AND HE WILL FLAGGED ME AND YES I AM N FLVS Science 6th grade so my teacher said i made a excellent hypothesis, recorded my data clearly, identified your variables accurately, analyzing how friction changes based on the surface texture. but what was wrong that i needed to add the total distance traveled for all 3 trials on each surface and then divide by 3 to get the average for each surface texture....
Procedures (4 points)
In this section please list ALL materials you used to complete your experiment, summarize the steps you took to complete the experiment and describe any difficulties or errors you encountered.
If an object rolls over (choose one type of material you used), then it will travel (choose one: the farthest distance/the shortest distance).
If the ball rolls over the carpet then It will travels the farthest distance.
For this lab I used the following materials: ball, books, carpet, floor tile, towel, ruler.
Short summary of what I did: (use words like first, next and last) First I stacked my books, Next I put my ruler next to the book last I put my ball on the top of the books and I let it roll down.
I experienced the following errors while doing my experiment: when I rolled the ball on the carpet it stopped at different centimeters per trial.
Test Variable/Independent Variable:
HINT: What was different about your test groups? What did you choose to test?
The difference about the test groups is they flooring, One was Carpet, Other Tile and Table.
I choose to test the ball if it were to stop at the same spot.
Outcome Variable/Dependent Variable:
HINT: What were you measuring? What data did you record?
I measure the ball rolling down the carpet, tile and table which provided me different data for each measuring.
Distance Object Traveled (in centimeters)
Floor Surface
Trial 1
Trial 2
Trial 3
Carpet
30cm
60cm
90cm
Tile floor
13cm
26cm
39cm
table
18cm
18cm
30cm
Floor Surface
Calculation of the Average (show your work)
Average Distance Traveled (answer)
carpet
30+30+30
90
Tile flloor
13+13+13
39
Table
18+18+18
54
Describe in your own words what friction is.
Friction is a force that opposes motion. Friction is basically the resistance of an object rubbing against another, such as a ball rolling down a hill, friction slows it down when rubbed against the grass.
Describe how friction affected the results of your investigation.
Friction slows down the ball if there no friction then it will make the object continue moving without slowing down.
Does an object travel farther on a smooth or slippery surface or on a rough surface? Why?
The object will travel on a slippery surface farther because when it slippery there no friction so it will travel faster.
Propose another experiment that could be used to demonstrate that friction is a contact force.
A hula hoops will twirl around you and it will stay in the air However it will have in upward force on your hips.
Answer:
just rry
Explanation:
Whats the difference between a solar eclipse and a lunar eclipse?
Answer:
A solar eclipse results when the moon passes in between the earth and the sun hiding the sun fully or partly for some time. A lunar eclipse occurs when the earth passes in between the moon and the sun casting its shadow on the moon and thus hiding it fully or partly for some time.
Explanation:
your welcome
Measuring 27ml of liquid (daudgtear idnreiyc)?
Measuring 27ml of liquid using graduated cylinder, it is used to measures the volumes of liquids.
Why would someone use a graduated cylinder?Long, thin vessels called graduated cylinders are used to measure liquid volume. They are not meant to be heated, stirred, or weighed. Graduated cylinders typically come in sizes between 5 and 500 ml. Some of them can even hold volumes greater than one liter.
With your eyes directly level with the liquid, place the graduated cylinder on a flat surface and measure the height of the liquid inside. The liquid will usually slant downward. The term "meniscus" refers to this curve. Read the measurement at the meniscus's bottom at all times.
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1- All the components of the sympathetic and parasympathetic nerve pathways: a stimuli, nerve impulse, sensory neuron, interneuron, preganglionic motor neuron, chain ganglia or cranial nerve ganglia, postganglionic motor neuron, and effector organ and response
2- A diagram showing the direction of the nerve impulse along the pathway
3-Pictures and titles that help describe the pathway of the nerve impulse
4- Each pathway must include three reactions to the motor impulse (increase in heart rate or decrease in saliva—see page 3 and 4 for more options)
The sympathetic and parasympathetic nerve pathways are two divisions of the autonomic nervous system. These pathways are responsible for regulating involuntary functions such as heart rate, digestion, and respiratory rate.
In order for these pathways to function, a stimulus is needed to trigger a response. This stimulus can be internal or external. Once the stimulus is detected, a nerve impulse is sent through a sensory neuron to the central nervous system where it is processed by an interneuron.
The processed signal is then sent through a preganglionic motor neuron to either a chain ganglia or cranial nerve ganglia, depending on the location of the effector organ. From here, the signal is transmitted to a postganglionic motor neuron which sends the signal to the effector organ. The effector organ then responds to the signal, either increasing or decreasing its activity depending on the pathway that is activated.
Here is a diagram that shows the direction of the nerve impulse along the pathway:
[Insert diagram here]
To help you understand the pathway of the nerve impulse, here are some pictures and titles that describe each step of the process:
1. Stimulus Detection: This image shows an example of an external stimulus being detected by a sensory neuron.
2. Interneuron Processing: This image shows an interneuron in the central nervous system processing the signal received from the sensory neuron.
3. Preganglionic Motor Neuron: This image shows a preganglionic motor neuron sending the signal to the chain or cranial nerve ganglia.
4. Postganglionic Motor Neuron: This image shows a postganglionic motor neuron transmitting the signal to the effector organ.
5. Effector Organ Response: This image shows the effector organ responding to the signal received from the postganglionic motor neuron.
Now, for the reactions to the motor impulse. The sympathetic and parasympathetic pathways have different effects on the effector organs. Here are three possible reactions for each pathway:
Sympathetic Pathway:
1. Increase in heart rate
2. Dilated pupils
3. Decrease in saliva production
Parasympathetic Pathway:
1. Decrease in heart rate
2. Constricted pupils
3. Increase in saliva production.
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suppose you are facing north, and you see the big dipper close to your northern horizon, with polaris (and the little dipper) above it. where will you see the big dipper in six hours?
These are the part of a constellation. Constellation is a group of stars that forms a pattern on the celestial sphere. The pattern typically represents, an inanimate object, a god, an animal, a mythological person etc.
These are related to a constellation named Ursa Major.
The big dipper is an asterism that makes up the part of Ursa Major or the great bear.
The little dipper is a part of Ursa minor or the little bear. It is usually seen at the upper right of big dipper.
This is also known as polaris.
As the time passes, with this changes the direction of sun and moon.
With all the facts stated, the stars will move from one direction to another.
So, the big dipper will also move.
It is usually seen in the North direction and are useful for the navigation.
Hence, we can say that after six hours, the big dipper will be seen to the right of Polaris; that is, 90 degrees counterclockwise from its current position.
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Why should
you use a horizontal line to
indicate where the bus is not
accelerating?
A horizontal line is used to indicate that the bus is not accelerating because the slope of a horizontal line is zero. When the slope is zero, it means there is no change in velocity over time, indicating a constant velocity or no acceleration.
This is useful when analyzing the motion of the bus, as it allows us to identify periods of constant velocity. By drawing a horizontal line on a velocity-time graph, we can clearly see when the bus is not accelerating. To understand this, it's important to know that the slope of a line on a velocity-time graph represents acceleration. A positive slope indicates positive acceleration, while a negative slope indicates negative acceleration. A horizontal line has a slope of zero, which means there is no change in velocity over time, indicating no acceleration.
By using a horizontal line to indicate where the bus is not accelerating, we can easily identify when the bus is maintaining a constant speed. This can be useful in analyzing the motion of the bus, as it allows us to differentiate between periods of acceleration and periods of no acceleration. For example, if the bus starts at rest and then begins to accelerate, we will see a positive slope on the graph. Once the bus reaches its desired speed and maintains it, the slope will become horizontal, indicating no further acceleration. This horizontal line can continue until the bus starts decelerating, at which point the slope will become negative. In summary, using a horizontal line on a velocity-time graph helps us visualize when the bus is not accelerating by indicating periods of constant velocity.
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A 56.0 kg diver strikes the water at a speed of 13.9 m/s, then slows to a stop underwater in 0.65 s What is the momentum of the diver as she strikes the water?
Answer:
the momentum of the diver is 778.4 m/s.
Explanation:
Given;
mass of the diver, m = 56 kg
speed at which the diver strikes the water, v = 13.9 m/s
duration of the motion, t = 0.65 s
The momentum of the diver is calculated as follows;
P = mv
P = 56 x 13.9
P = 778.4 m/s
Therefore, the momentum of the diver is 778.4 m/s.
the process of changing soild to liquid stat is called
A.melting
B.boiling
C.evaporation
D.freezing
Answer:
When a solid reaches the temperature of its melting point, it can become a liquid. For water, the temperature needs to be a little over zero degrees Celsius (0oC) for you to melt.
Explanation:
A force of 15 n is applied to a spring, causing it to stretch 0.3 m. what is the spring constant for this particular spring? n/m
Answer:
-50N/m
Explanation:
Force , F = 15N
Displacement , x = 0.3m
Spring constant , K = ?
K = -F/x
K = -15N/0.3m
K = -50N/m
Answer: 50 N/m
Explanation:
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