Answer:
C
Explanation:
Answer:
C
Explanation:
julia performs an experiment to measure the wavelength of four different waves and records her data in the table below.a 2-column table with 4 rows titled julia's waves. the first column labeled wave has entries 1, 2, 3, 4. the second column labeled information has entries this wave has 3 centimeter amplitude, the distance from the midpoint to the crest is 6 centimeters, the distance from the midpoint to the trough is 12 centimeters, this wave has a 4 centimeter amplitude.which accurately ranks the waves from the lowest energy wave to the highest energy wavehow has the change in media affected the frequency of the wave?
A wave's frequency varies when it moves from one medium to another. This is due to the fact that a wave's wavelength doesn't change when it enters a different medium, but its speed does. This is referred to as the frequency-wavelength relationship of the wave.
Based on the information provided in the table, the waves can be ranked from lowest energy to highest energy as follows: wave 1, wave 2, wave 3, and wave 4.
This is because wave energy is directly proportional to its amplitude and frequency, and in this case, the amplitude of wave 1 is the lowest, followed by wave 2, wave 3, and wave 4.
When a wave travels from one medium to another, its frequency changes.
This is because the speed of the wave changes when it enters a different medium, while its wavelength remains constant. This is known as the wave's frequency-wavelength relationship.
When the wave enters a denser medium, its speed decreases, and its frequency decreases as well. On the other hand, when the wave enters a less dense medium, its speed increases, and its frequency increases as well. Therefore, the change in media can affect the frequency of the wave.
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Which is a dopant for a semiconductor that conducts electricity due to the movement of electrons?
thallium
indium
boron
antimony
A dopant for a semi conductor that conducts electricity due to the movement of electrons is antimony.
A semi conductor is usually comprised of silicon or germanium that conducts electricity more than an insulator but less than a conductor.
Semi conductors are of two types. They are p - type semi conductors and n - type semi conductors.
An n - type semi conductor is formed by the doping of pentavalent impurity atoms. In n - type semi conductors, the majority charge carriers are electrons.
Pentavalent materials have 5 electrons in their valence shell.
Elements belonging to group 15 are pentavalent materials such as arsenic, phosphorus, antimony, etc.
Thus, out of given options, antimony is a pentavalent element which can be a dopant in the semi conductor with movement of electrons.
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a car of mass 1850 kg is traveling at 22.5 m/s in a straight line. a truck of mass 3170 kg has the same momentum as the car. the speed of the truck is
A car of mass 1850 kg is traveling at 22.5 m/s in a straight line. A truck of mass 3170 kg has the same momentum as a car. The speed of the truck is 13.43 m/s.
How to solve momentum and speed-related problems?Momentum and speed-related problems can be solved by using the formula, p= mv. The momentum of an object is defined as the product of its mass and velocity.
The formula for the speed of an object is given by,
speed = distance/time.
To solve this problem, we will equate the momentum of the car with the momentum of the truck.
the momentum of car = momentum of truck
m₁v₁ = m₂v₂
where m₁ = 1850 kg, v₁ = 22.5 m/s, m₂ = 3170 kg and v₂ = speed of truck
Substituting the given values in the above equation, we get
1850 × 22.5 = 3170 × v₂
v₂ = 41250/3170
v₂ = 13.43 m/s
Therefore, the speed of the truck is 13.43 m/s.
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please help lol
im on my sisters acc btw
Answer:
sitting leg curls= hamstring
shrugs=shoulders
machine curls=biceps
bench press= pectorals
A spring-loaded ballistic cart measuring 0.5 kg is in contact with a second 0.8 kg cart. The carts are
initially at rest on a level surface. The spring is released and the lighter cart is observed to move at +0.4
m/s afterward. What is the velocity of the other cart?
A spring-loaded ballistic cart is in contact with a second cart. The velocity of the other cart is 0.25 m/s.
What is the conservation of linear momentum?When there is no external force acting on the system, the initial momentum is equal to the final momentum.
Momentum is equal to the product of mass and its velocity.
According to the conservation of linear momentum,
m₁v₁ +m₂v₂ = m₁u₁ +m₂u₂
u and v represents the initial and final velocity. 1 and 2 represents the first and second cart.
Given is m₁ = 0.5 kg, m₂ =0.8kg, u₁ =u₂ =0 m/s and v₁ = 0.4 m/s.
Substituting the values in the conservation of momentum equation, we get the velocity of second cart is
0.5 x 0.4 + 0.8 x v₂ = 0.5 x 0 + 0.8 x 0
v₂ = +0.25 m/s (in the direction of first cart)
Thus, the velocity of the other cart is 0.25 m/s.
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19. The continuity equation for compressible liquid can be written as
Answer:The continuity equation for a compressible liquid is a mathematical expression that relates the changes in fluid density, velocity, and volume to the changes in time. This equation can be written as:
∂ρ/∂t + (ρv)•∇ = 0
where:
ρ = fluid density
v = fluid velocity
∂/∂t = partial derivative with respect to time
∇ = del operator
The continuity equation expresses the principle of mass conservation, stating that the rate of change of fluid density in a fixed volume must be equal to the rate of flow of fluid into or out of that volume. This equation is commonly used in fluid dynamics to study the behavior of liquids and gases in various applications, such as in pipelines, pumps, valves, and compressors.
Explanation:
X rays, because they have more energy, travel through space faster than visible light.TrueFalse
X-rays are a form of electromagnetic radiation that have higher energy than visible light. As a result, X-rays travel through space at a faster speed than visible light. True.
This is because X-rays have a shorter wavelength and higher frequency than visible light, which gives them more energy.
The speed of light in a vacuum is a fundamental constant of nature and is the same for all forms of electromagnetic radiation, including X-rays. However, X-rays can travel faster through materials that are denser than air, such as metal or dense materials, because they can penetrate these materials more easily.
Therefore, X-rays travel through space faster than visible light due to their higher energy and shorter wavelength, but they may travel more slowly through certain materials in the presence of a medium.
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A chicken is running in a circular path with an angular speed of 1. 52 rad/s. How long does it take the chicken to complete one revolution?
The chicken takes approximately 4.14 seconds to complete one revolution in a circular path with an angular speed of 1.52 rad/s.
To determine the time taken by the chicken to complete one revolution, we need to use the relationship between angular speed and time. Angular speed is defined as the rate of change of angular displacement per unit time. In this case, the chicken has an angular speed of 1.52 rad/s.
To find the time taken for one revolution, we need to consider that one revolution corresponds to a complete 360-degree rotation or 2π radians. Therefore, we can use the formula:
Time = Angular displacement / Angular speed
In this case, the angular displacement is 2π radians, and the angular speed is 1.52 rad/s. Plugging these values into the formula, we get:
Time = 2π radians / 1.52 rad/s ≈ 4.14 seconds
Hence, it takes approximately 4.14 seconds for the chicken to complete one revolution in its circular path with an angular speed of 1.52 rad/s.
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A new conveyor system at the local packaging plant will utilize a motor powered mechanical arm to exertion average force of 890N to push large crates a distance of 12 meters in 22 seconds. Determine the power output required of such a motor.
Answer:
power =( 890 N x 12 m ) / 22 s=
= 485 Watts
Explanation:
Please help me Calculate the total energy stored in the capacitor
La fórmula: P = W/t ó W = P x t. donde:
P = potencia
W = trabajo
t = tiempo
Otra fórmula de potencia es: P= I x V
Proceso de carga de un capacitor - condensador
Una fórmula muy importante que también hay que tener en cuenta es: V = q/C que indica que el voltaje es proporcional a la carga que hay en un condensador.
De la fórmula de potencia P= I x V y considerando que la corriente es constante (corriente continua), entonces la potencia es proporcional al voltaje. Si el voltaje aumenta en forma lineal, la potencia aumentará igual. Ver el siguiente diagrama.
Como la potencia varía en función del tiempo, no se puede aplicar la fórmula W = P x t, para calcular la energía transferida. Pero observando el gráfico, se ve que esta energía se puede determinar midiendo el área bajo la curva de la figura.
Energía Almacenada en un Condensador - Capacitor
El área bajo la curva es igual a la mitad de la potencia en el momento “t”, multiplicada por “t”.
Entonces: W = (P x t) / 2. Pero se sabe que P = V x I. Si se reemplaza esta última fórmula en la anterior se obtiene: W = (V x I x t) / 2, y como I x t = CV = Q, entonces para saber cuanta energía (W) hay en un condensador usamos una de las siguientes fórmulas:
W = (CV2/2) julios
W = (QV/2) julios
W = (Q2/2C) julios
, donde:
W = Trabajo (Energía) en julios
C = Capacidad en faradios
V = voltaje en voltios en los extremos del condensador
Q = carga del condensador
Answer with the given explanations below: First the given formula that looks like this is: or where:
P = power
W = work
t = time
Next with another given power formula that looks like this is:
This is the charging process of a capacitor - capacitor #1.
Then it's a very important given formula that it must also be taken into account is: which it was indicated that the voltage is proportional to the charge on a capacitor.
In the following below, from the given power formula that looks like this is: and we are considering that the current is the constant (direct current), and then the power is proportional to the voltage. If the voltage increases linearly, the power will increase the same. See the following diagram. (I'm sorry, Yhungbabe, I don't have the diagram to show you in order to refer to the total energy stored in the capacitor because I havenèt learned the energy stored in the capacitor)
Anyway, since the power varies as a function of the time, the given formula that looks like this is: cannot be applied to calculate the energy transferred. But looking at the graph, it seems that this energy can also be determined by measuring the area under the curve of the figure.
This is The Energy Stored in a Capacitor - Capacitor #2.
The area under the curve is equal to the half of the power at time "t", being multiplied by "t".
Then with the given formula below that looks like this is:
But it's known that If this is the last given formula is being replaced in the previous one, we obtain the new given formula that looks like this is: and as another new given formula that looks like this is: there's so to find out how much energy (W) that there's in a capacitor that we use in one of the new given formulas that looks like in the listed below are:
joules
joules
joules
Now finally where:
W = Work (In The Energy) in Joules
C = Capacity in the farads
V = voltage in the volts at the ends of the capacitor
Q = a capacitor charge
I apologize for the late answer and the replies, so anyway, I use the online language translator in order to translate Spanish to English for you in order to understand my work given below, so, I hope my answer with the given explanation below here is very helpful to your own question about how to calculate the total energy stored in the capacitor with the image has been provided, please mark me as Brainliest and have a great rest of the day! :D
Sincerely,
Jason Ta,
The Ambitious of The Brainly And The Role of The TDSB And WHCI Student of The High School.
A 31.7 kg kid, initially at rest, slides
down a frictionless water slide at 53.2º.
How fast is she moving 3.45 s later?
Answer:
34.55m/s
Explanation:
Now from Newton's law of motion;
V= U+ a×t
V- final velocity
U- initial velocity = 0m/s
a- acceleration
t- time
Note that a = g/cos53.2°
Now g is acceleration of free fall due to gravity
This is a vertical acceleration since the course of motion is along a plane inclined at 53.2° to the height of the pool.
Also from trigonometry identity
cos 53.2°= vertical component a/ acceleration ( cos a = adjacent/hypothenus)
If we assume g = 9.8m/S2 { a generally given value}
Substituting t = 3.45s as the time of consideration, we have;
V = 0 + (9.8/cos53.2°)×3.45
= -34.55m/s
Note the -ve sign is just telling us this velocity is causing the object to move down.
Hence V = 34.55m/s
Answer:
27.07 m/s
Explanation:
this is the right answer
what is the relationship between mass and acceleration on an object when the force is held constant?
Answer:
according to newtons second law of motion,
Force = mass * acceleration
The acceleration of the body is directly proportional to the net force acting on the body and inversely proportional to the mass of the body.
I. e mass and acceleration are directly proportional to each other.
Use the inteediate value theorem to prove the following claim. There is at least one number that is three greater than twice its fifth power. (Remember, whenever you apply a theorem, you must explain why its hypotheses are satisfied; it is not sufficient to merely assert that they are satisfied.)
The claim that there is at least one number that is three greater than twice its fifth power can be proven using the Intermediate Value Theorem.
To apply the Intermediate Value Theorem, we need to show that the function f(x) = \(2x^5\)+ 3 is continuous on a closed interval [a, b] and takes on both positive and negative values.
1. Continuity:
The function f(x) = \(2x^5\) + 3 is a polynomial function, and polynomial functions are continuous for all real numbers. Therefore, f(x) is continuous on the entire real number line.
2. Positive and Negative Values:
To show that f(x) takes on both positive and negative values, we can consider the limits of f(x) as x approaches positive and negative infinity:
- As x approaches positive infinity, the term \(2x^5\) dominates the function, and f(x) approaches positive infinity.
- As x approaches negative infinity, the term \(2x^5\) dominates the function, and f(x) approaches negative infinity.
Since f(x) approaches both positive and negative infinity as x approaches infinity and negative infinity respectively, it must take on all values in between, including positive and negative values.
By the Intermediate Value Theorem, since f(x) is continuous on the real number line and takes on both positive and negative values, there must exist at least one number c for which f(c) = 0. In other words, there is at least one number that is three greater than twice its fifth power.
In conclusion, by satisfying the hypotheses of the Intermediate Value Theorem, we can prove the claim that there is at least one number that is three greater than twice its fifth power.
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A very long time after the switch is closed, what is the total charge that has been supplied by the battery?
After a very long time since the switch is closed, the total charge supplied by the battery will be equal to the product of the battery's voltage and its capacitance.
When a switch is closed in an electric circuit connected to a battery, the battery supplies charge to the circuit, causing the flow of current. Over time, the charge builds up on the capacitor in the circuit, and the current eventually stops flowing.
In this scenario, after a very long time, the capacitor will become fully charged, and the current will reach zero. At this point, the total charge supplied by the battery will be equal to the product of the battery's voltage and its capacitance.
The charge stored on a capacitor can be calculated using the equation Q = CV, where Q represents the charge, C is the capacitance, and V is the voltage across the capacitor. In this case, since the battery supplies the voltage, the charge can be determined by multiplying the battery's voltage by the capacitance of the circuit.
Therefore, the total charge supplied by the battery after a long time can be found by multiplying the voltage of the battery by the capacitance of the circuit. This calculation represents the accumulated charge on the capacitor over time as the circuit reaches its steady state.
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How are wave properties and energy related?
give me examples
Answer:
They don’t ‘represent’ anything, they are properties of the wave.
Depending on the type of wave, we experience them as various phenomena. For example, with a sound wave we experience frequency (or wavelength, which is just another way to describe the same property) as the pitch of the sound. We experience amplitude as the loudness of the sound, although due to the characteristics of the ear, frequency also effects perceived loudness.
If the wave is a light wave, we experience the frequency (wavelength) as the colour of the light, and the amplitude as the brightness of the light.
For many waves, we don’t perceive them at all (e.g. radio waves).
For ocean waves, frequency is the time for each peak or trough to reach us, and amplitude is how tall the wave is.
The shear formula is given as τ=vqit. which of the following is a proper unit of q?a. m^2b. m^4c. dimensionsd. me. m^2f. None of these
the correct answer is option a. m^2, as it is the proper unit for the second moment of area (q) in the shear formula.
In the shear formula, τ=vqit, q represents the area over which the shear force is applied. The units of q should be in square meters (m^2) to ensure that the overall unit of the formula is in Newtons per square meter (N/m^2) or Pascals (Pa). Therefore, option (e) m^2 is the proper unit of q. Option (a) m^2 is also correct but it is not specifically labeled as a unit.
Option (b) m^4 is incorrect because it is a unit of volume. Option (c) dimensions and option (d) me are not valid units of area. Lastly, option (f) None of these is incorrect since option (e) m^2 is the correct answer. The proper unit of q in the shear formula τ = vqit is "m^2".
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From the Jeans Mass, we know that a star will form if a sound wave traveling in the gas cloudA. Can cross the cloud’s radius in less time than the elements can free fall to the center.B. Cannot cross the cloud’s radius in less time than the elements can free fall to the center.C. Can absorb enough of the elements’ kinetic energy to keep them from escaping the cloud.D. Makes a sound even though no one is around.
A star will form if a sound wave traveling in the gas cloud cannot cross the cloud's radius in less time than the elements can free fall to the center. Correct answer is option B.
The Jeans Mass is a concept in astrophysics that helps us understand when a gas cloud will collapse to form a star. The criterion for star formation is based on the comparison of the cloud's free-fall timescale and the sound crossing time.
If the sound wave can't travel across the cloud's radius faster than the elements can free fall to the center (option B), it means that the cloud is unable to counteract the gravitational pull, and as a result, the gas cloud collapses to form a star. In contrast, if the sound wave can travel faster, it provides pressure support to resist the collapse, and a star does not form.
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A string can withstand a force of 135 N before breaking. A 2.0 kg mass is tied to the string and whirled in a
horizontal circle with a radius of 1.10 m. What is the maximum speed that the mass can be whirled at before
the string breaks?
The mass would have centripetal acceleration a given by
a = v ² / R
where
v = tangential speed of the mass
R = length of the string
By Newton's second law, a maximum tension of F = 135 N would apply an acceleration of
135 N = (2.0 kg) a → a = 67.5 m/s²
which requires a tangential speed v of
67.5 m/s² = v ² / (1.10 m) → v = √((67.5 m/s²) (1.10 m)) ≈ 8.62 m/s
Please help me on this I wanna pass so bad
Answer:
what?
Explanation:
theres nothing
find a 95 percent confidence interval for the slope of your regression line.
Assuming all conditions for inference are met, a 95 per cent confidence interval for the slope of the least-squares regression line is defined as the range of values within which we are 95 per cent confident that the true population slope lies.
It is calculated as the point estimate (the slope of the least-squares regression line) plus or minus the margin of error, which is determined by multiplying the standard error of the slope by the critical value from the t-distribution with n-2 degrees of freedom (where n is the sample size). This critical value is chosen such that 95 per cent of the t-distribution falls within the interval. Therefore, a larger sample size or a smaller standard error will result in a narrower confidence interval, while a smaller sample size or a larger standard error will result in a wider confidence interval.
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how far must the microphone be moved to the right to find the first intensity minimum?
For your specific scenario, we need to consider the placement of the microphone relative to the two sound sources. Assuming the sources are equidistant from the microphone and are emitting identical frequencies, there will be a series of intensity maxima and minima as the microphone is moved horizontally.
To find the first intensity minimum, we need to locate the point where the path difference between the two sound waves is half of a wavelength. This can be calculated using the equation:
path difference = d * sin(theta)
Where d is the distance between the sound sources and theta is the angle between the two sources as seen from the microphone. Once we have the path difference, we can use the formula:
path difference = n * wavelength / 2
Where n is an odd integer (1, 3, 5, etc.) and wavelength is the distance between two consecutive peaks of the sound wave.
With these equations, we can determine the distance the microphone needs to be moved to the right to reach the first intensity minimum. This will vary depending on the specific values of d, theta, and wavelength, but can be calculated using the methods described above. Overall, finding the first intensity minimum requires an understanding of interference and some basic calculations using the path difference and wavelength formulas.
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A horizontal uniform 1.20-N meter stick is held up by two vertical strings, one at the 20-cm mark and the other at the 60-cm mark. What is the tension in the string at the 60-cm mark
The tension in the string at the 60-cm mark will be 0.9 N.The tension force is applied along the whole length of the wire, pulling energy equally on both ends.
What is tension force?The tension force is described as the force transferred through a rope, string, or wire as it is pulled by opposing forces.
The given data in the problem is;
The length of the stick is, L= 1.20 m =120 cm
T is the tension in the string at the 60-cm mark;
T₁ is the tension at the 20-cm mark
From the torque equilibrium law;
\(\rm mg(30)-T_2(40)+T_2 (40) =0 \\\\\ T_1(0)=mg (30)\\\\\ T_2(40)=1.2 (30) \\\\ T_2= 0.9 \ N\)
Hence the tension in the string at the 60-cm mark will be 0.9 N.
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if the power of sound at the source outlet is 100 w, what is its intensity at 4 m away from the source?
The intensity of sound is inversely proportional to the square of the distance from the source. The intensity of sound at 4 m away from the source is approximately \(0.993W/m^{2}\) (watts per square meter).
The intensity of sound is defined as the power per unit area. According to the inverse square law for sound propagation, the intensity of sound is inversely proportional to the square of the distance from the source. Mathematically, it can be expressed as
\(I=P/(4\pi r^{2})\)
where I is the intensity, P is the power, and r is the distance from the source.
Given that the power of sound at the source outlet is 100 W and the distance from the source is 4 m, we can substitute these values into the formula. Thus, we have
\(I = 100 W / (4\pi (4 m)^2)\)
Simplifying this expression, we find that the intensity of sound at 4 m away from the source is approximately \(0.993W/m^{2}\) (watts per square meter).
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1. In a discussion, outline elaboratively 5 of the 10 major external forces that affect organizations: economic, social, cultural, demographic, environmental, political, governmental, legal, technological, and competitive. (You may choose any 5 ) 2. I want you to tell me CONVINCINGLY, the importance of gathering competitive intelligence. 3. In business we are aware that economic factors have tremendous impacts in the various strategy applications. Name a few economic variables that we need to monitor. 4. Social, cultural, demographic, and environmental changes have a major impact on virtually all products, services, markets, and customers, that's a given, in your own opinionated words why is this so. 5. List 5 key external factors of your choice including both opportunities and threats you believe affect the firm and its industry. List the opportunities first and then the threats. 6. Explain your opinion on how to prioritize and determine a firm's internal weaknesses and strengths. 7. What do you understand about financial ratio analysis, what is it, and why is it so important in business. 8. A major responsibility of strategists is to ensure development of an effective external audit system. Why do you think this is so? Explain your opinion in this.
1. Five major external forces that affect organizations are economic, social, cultural, demographic, and technological. Economic factors such as inflation and interest rates can impact a company's profitability and purchasing power. Social factors like changing consumer preferences and lifestyles can influence demand for products and services.
Cultural factors like values and beliefs can shape consumer behavior and market trends. Demographic factors such as population size and age distribution can affect target markets.
Technological factors like advancements in automation or digitalization can disrupt industries and create new opportunities. These external forces shape the business environment and organizations must monitor and adapt to them to stay competitive.
2. Gathering competitive intelligence is crucial for businesses because it provides valuable insights about their competitors' strategies, strengths, weaknesses, and market position.
By understanding the competitive landscape, businesses can identify opportunities and threats, make informed decisions, and develop effective strategies.
Competitive intelligence helps businesses stay ahead of their competitors, anticipate market trends, identify emerging technologies, and improve their own products or services. It allows businesses to benchmark their performance, evaluate their competitive advantage, and identify areas for improvement.
Ultimately, gathering competitive intelligence empowers businesses to make proactive and strategic decisions that can lead to sustainable growth and competitive advantage.
3. In business, various economic variables need to be monitored as they have significant impacts on strategy applications. Some important economic variables include GDP (Gross Domestic Product), inflation rate, exchange rates, interest rates, consumer spending, unemployment rate, and industry-specific factors like raw material prices or energy costs.
Monitoring these variables helps businesses understand the overall economic conditions, identify market opportunities, and assess potential risks. For example, a high inflation rate may impact pricing strategies, while a favorable exchange rate can benefit export-oriented businesses.
By monitoring economic variables, businesses can adapt their strategies accordingly and make informed decisions to navigate the dynamic business environment.
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what type of eeg waves are associated with someone being in a meditative state?
Alpha waves are typically associated with a meditative state.
Alpha waves occur when the brain is in a relaxed and conscious state, with low levels of activity. They are usually seen in the 8-12 hertz range and are typically seen in the back of the head and in the center of the head. Alpha waves are thought to be associated with a state of relaxed alertness, creativity and emotional balance.Alpha waves are usually associated with a sense of physical and mental relaxation, and can be seen when someone is meditating.During meditation, alpha waves increase, indicating less brain activity and a more relaxed, inward focused state of being.
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An alternating-current (AC) source supplies a sinusoidally varying voltage that can be described with the function v of t is equal to V times cosine of begin quantity omega times t end quantity, where V is the maximum voltage, omega is the angular frequency, and t is the time. If the frequency of this source is 60 Hz, what is omega equal to
Answer:
ω, the angular frequency of the source equals 377 rad/s
Explanation:
From the question, V(t) = V cosωt.
Now, ω = the angular frequency of the sinusoidal wave is given by
ω = 2πf where f = the frequency of the source = 60 Hz
So, the angular frequency of the source ,ω = 2π × the frequency of the source.
So, ω = 2πf
ω = 2π × 60 Hz
ω = 120π rad/s
ω = 376.99 rad/s
ω ≅ 377 rad/s
So, ω, the angular frequency of the source equals 377 rad/s
Help me, please!!!!!!!!
If another object (a can of beans) was dropped from 12 meters in free fall, how long will it take for that object to fall to the ground?
It will take the object a total time of 1.564 seconds to fall from a height of 12m.
What is time?Time is the apparent progression of events from past to future.
To calculate the time it takes the object to fall to the ground, we use the formula below.
Formula:
H = ut+gt²/2Where:
H ⇒ Heightt ⇒ Timeu ⇒ Initial velocityg ⇒ Acceleration due to gravityFrom the question,
Given:
H = 12 mu = 0 (drop from a height)g = Constant = 9.8 m/s²Substitute these values into equation 1
12 = (0×t)+(9.8t²/2)Solve for the value of t
t² = (12×2)/9.8t = √(24/9.8)t = 1.564 secondsHence, it will take the object 1.564 seconds to fall to the ground.
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Johnny drives to Wisconsin (1920 miles) in 32 hours. He returns home by the same route in the same amount of time. Determine his average velocity
Answer: 60mph
Explanation: He drives to Wisconsin and back so multiply both numbers by 2. Speed=distance divided by t
So 3840 divided by 64 is 60.
+
figure A
figure B
figure C
figure D
Which figure shows a correct pattern of electric field lines?
You want to elope by sliding down a nylon rope made by tying stockings together. The rope will withstand a maximum tension of 300 N without breaking. Your mass is 61.2 kg. The magnitude of the smallest acceleration a with which you can slide down the rope is A. 9.81 m/s2. B. 4.91 m/s2 C. zero. D. 2.40 m/s2. E. 19.6 m/s2 9.
A nylon rope tied with stockings together that can bear a maximum tension of 300N without breaking. The mass of the person who wants to elope is 61.2 kg. The smallest acceleration a with which the person can slide down the rope is 4.91 m/s².
The magnitude of the smallest acceleration a with which the person can slide down the rope is to be found out. Let’s calculate it.
To solve this question, we can use Newton’s second law of motion. The formula is
F = ma
Where,F is the force applied, m is the mass of the object, and a is the acceleration of the object.
Here, the force applied is the tension in the rope that the person will exert and the mass of the object is the mass of the person. Therefore, the formula becomes,
T = ma or a = T/m
Where,T = Maximum tension the rope can bear without breaking = 300 Nm = mass of the person = 61.2 kg
Now, putting the values in the formula,
a = T/m= 300/61.2= 4.91 m/s²Therefore, the smallest acceleration a with which the person can slide down the rope is 4.91 m/s².
Hence, the correct option is (B).
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