15 M sun star will end its main sequence life earlier. the 15M sun protostar will be more luminous.
How is a large protostar different from a small protostar?Outer space gas clouds are where stars first start to develop. These clouds' frigid temperatures and high densities (in comparison to other regions of space, but in comparison to a vacuum on Earth) enable gravity to overcome thermal pressure and initiate the gravitational collapse that would result in the formation of a star.A protostar resembles a star, but its core is still too cool for fusion to occur. The protostar's heating as it contracts is the only source of brightness. The light that protostars release is typically blocked by dust, making them challenging to study in the visible spectrum.To learn more about protostar, refer to
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Why must microwave towers generally be spaced no more than 30 miles apart to ensure the transmitter and receiver are able to have line-of-sight of each other?.
The microwave towers should be spaced no more than 30 miles apart because :
firstly, due to the requirement of line-of-sight
secondly, microwave networks may have lower latency than fibres.
What are microwave towers ?A key system component that enables a microwave system to send and receive data across microwave sites is a microwave antenna. They are typically found at a tower's summit.
In order to provide high speed wireless connections that can send and receive voice, video, and data information, microwave is a line-of-sight wireless communication technology.
Towers can be constructed for telecommunication, observation, or leisure activities. A tower may be a feature on top of a larger building or structure, or it may stand alone and be supported by nearby buildings.
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q8. a car with a mass of 1500kg is being towed at a steady speed by a rope held at 20degrees angle from the horizontal. a friction force of 320n opposes the car's motion. what is the tension in the rope?
The tension in the rope is 340 N
The x component of the tension triangle is equal to the friction force, 320 N, BUT the tension is not equal to this.
Use Cos 20 degrees = a/H
Where a is 320 N and H will be the tension
If something is at an angle, don't assume it is equivalent to the thing on the other side because of the angle
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the g string on a guitar is 49.0 cm long and has a fundamental frequency of 196.0 hz. a guitarist can play different notes by pushing the string against various frets, which changes the string's length. the fifth fret from the neck gives the musical note c (261.6 hz); the sixth fret gives d-flat (277.2 hz).
The guitar has 6 strings. Listed from low to high, the guitar string notes are: E, A, D, G, B, E.
What are the string and guitar?Guitar string is a string made of a particular material, typically, gut, nylon or steel, which is spanned over a wooden instrument or an instrument which has magnetic or piezoelectric pickups.Many people overlook the importance and vital role of guitar strings. They help your guitar sound, play, and even feel better. Old strings can cause intonation and tuning problems, while new strings can breathe new life into your guitar's sound and playability, keeping your guitar sounding its best.Benefits of String ImmutabilityHence saving memory and fast performance. More secure since we can't change the value of string object. Thread safety while working with strings in a multi-threaded environment. Class loading is more secure since the string value passed as an argument to load a class can't be changed.The distance that should be far apart the third and fourth frets should be Δd = 49.0 cm.
Calculation of the distance that should be far apart:
Since
The G string should be long i.e. 49 cm.
The frequency is 196 Hz
The third fret from the neck gives B is (233.08 Hz)
And, the fourth fret gives B (246.94 Hz).
So here
L3
= Length * frequency / third fret
= 49*196/233.08
= 41.20 cm
L4= Length * frequency / fourth fret
= 49*196/246.94
= 38.888 cm
So here the difference should be
= L3 - L4
= 41.20 cm - 38.888 cm
= 2.3 cm
Hence, distance that should be far apart the third and fourth frets should be Δd = 2.3 cm.
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a fisherman notices that wave crests pass the bow of his anchored boat every 3.10 s. he measures the distance between two crests to be 8.30 m. how fast are the waves traveling?
A fisherman notices that wave crests pass the bow of his anchored boat every 3.10 s. He measures the distance between the two crests to be 8.30 m. Therefore, the waves travel at the speed of 2.677 m/s.
How is the speed of waves calculated?
Given:
λ = Distance between two crests (Wavelength) = 8.30 m
T = Time = 3.10 s
Frequency = [tex]\frac{1}{T}[/tex]
V = Speed of the waves =?
Formula: V = Wavelength × Frequency
= λ × [tex]\frac{1}{T}[/tex]
= 8.30 ×[tex]\frac{1}{3.10}[/tex]
= 2.677 m/s
What is the speed of waves?The amount of distance a wave covers in a certain amount of time is known as wave speed. It covers the number of meters in a second. Wave speed is related to both wavelength and wave frequency.
What is the crest in a wave?
The crest is the highest point on the wave. The trough is the area that is the lowest. The wavelength is the space between two successive crests (or troughs).
The two waves travel at the speed of 2.677 m/s.
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A fisherman noticed that every 3.10 seconds a wave crest passed the bow of a moored boat. He measured the distance between his two peaks to be 8.30 m, so the wave travels at a speed of 2.677 m/s.
Given:
λ = Distance between two crests (Wavelength) = 8.30 m
T = Time = 3.10 s
Frequency = 1/T
Formula:
V = Wavelength × Frequency
= 8.30 × 1/3.10
= 2.677 m/s
SPEED OF WAVES:
The distance traveled by a wave in a given time is called wave velocity. Covers meters per second. Wave velocity depends on both wavelength and wave frequency.
WAVE CREST:
The crest is the highest point of the wave. The trough is the lowest area. Wavelength is the distance between two consecutive peaks (or valleys).
Therefore, the wave travels at a speed of 2.677 m/s.
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in the lab, how do you get the temperature of the metal to be close to 100.0oc? group of answer choices
We can get the temperature of the metal to be close to 100 degrees using calorimetry which is used to measure amount of heat to or from substance.
What is calorimetry?Calorimetry is used to measure the amounts of heat transferred to or from a substance. In this, heat is exchanged with a calibrated object that is calorimeter. The temperature change is measured by the calorimeter which is used to derive the amount of heat transferred by the process under study.
To find the temperature change of a metal:
Subtracting final and initial temperature to get the change in temperature (ΔT). Then, multiplying the change in temperature with the mass of the sample. Now, dividing the heat supplied/energy with the product. And the the formula is given as, C = Q / (ΔT ⨉ m).To know more about calorimetry, refer
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are the two sources in phase or out of phase? explain how you can tell from the diagram. if the two sources are out of phase, give the phase difference between the two sources. explain.
If two sources emit waves with the same wavelength and a constant phase difference ϕ, they are said to be coherent.
What is coherent source ?If the frequency and waveform of two wave sources are the same, they are coherent. Waves' optimal quality of coherence makes stationary interference possible.When the phase difference between two beams of light is constant, they are coherent; if the phase difference is random or changes, they are noncoherent.The concept of a superpositioning at the core of quantum physics and quantum computing is referred to as "quantum coherence." Quantum coherence specifically considers a scenario in which a wave property of an item is split in two and the two waves coherently interfere with one another.The interference visibility, which examines the size of the interference fringes in relation to the input waves, is an easy way to measure the degree of coherence; correlation functions provide a precise mathematical definition of the degree of coherence.To learn more about coherent refer :
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you are at camp over the summer and there is a wooden raft that is floating in a lake. you and enough of your friends hop on the raft to completely submerge it. what happens to the buoyant force on the raft?
it increases
The buoyant force on the raft increases as a result of your weights, which completely submerges the wooden raft floating in the lake.
The Buoyant force describes the relative tendency of objects to float or to rise when submerged in a fluid, for example, a lake. It can also refer to the power of a fluid to exert an upward force on a body placed in it.
Therefore, the buoyancy or buoyant force of the wooden raft increases when you and your friends exert enough force on it, thereby completely submerging it in the lake at that moment.
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When a 100-kg mass is hung from a cable made of a certain material, the cable is observed to lengthen by 1%. If the cable is now replaced by one with twice the cross-sectional area and made of a material with twice the Young's modulus of the original one, and the mass hung from it is also doubled, how much stretching will be observed? A) 0.5% B) 8% C) 1% D) 4%
The mass hung from it is also doubled, 4% much stretching will be observed.
What is mass?
A substance or object's mass is a measurement of how much matter there is in it. Smaller masses can be measured in grams instead of kilograms (kg), which is the standard SI unit for mass (g). You would use a balance to calculate mass.
What is modulus?
The ratio of the stress that a material experiences under an applied strain is known as the Young's modulus. The strain is the percentage of the starting length that represents the amount of material deformation, such as the change in length in an extensional experiment.
Therefore, the mass hung from it is also doubled, 4% much stretching will be observed.
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the solar system contains vast numbers of small bodies, which we call asteroids when they are rocky and comets when they are icy. these small bodies are concentrated in the region(s) of the solar system that we call .
The small bodies called asteroids are concentrated in the region between the orbits of Mars and Jupiter.
An asteroid is a minor planet of the internal Solar System. The size as well as shape pf asteroids range significantly, starting from 1-meter rocks to a dwarf planet nearly a 1000 km in diameter; they may be rocky, steel or icy our bodies and not using a atmosphere. Most of them are placed withinside the foremost asteroid belt – a location among the orbits of Mars and Jupiter.
Therefore, the tiny bodies are located in the obits of two planets that are discussed above.
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An inflated basketball is left oitside on a hot day, causing the temperature of the gas to increase. Which of the following would happen to the gas inside of the basketball? a) The pressure of the gas decreases, the volume of the gas decreases b) The pressure of the gas decreases, the volume of the gas increases c) The pressure of the gas increases, the volume of the gas decreases d) The pressure of the gas increases, the volume of the gas increases
An inflated basketball is left outside on a hot day, causing the temperature of the gas to increase. Option D. The pressure of the gas increases, and the volume of the gas increases would happen to the gas inside of the basketball.
Where P stands for pressure, V is volume, N is the number of molecules in the sample, k is Boltzmann's constant, and T is absolute temperature typically expressed in kelvins.
The pressure on a system will increase by increasing the temperature, decreasing the volume, and pumping more gas.'
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Find the thickness of a sheet of tin foil (in millimeters) that measures 50.0 cm by 50.0 cm with a mass of 45.5g. the density of tin metal is 7.25 g/cm3.
The thickness of the sheet of mass45.5 g and density 7.25 g/cm³ is 2.5×10⁻³ cm.
What is thickness?Thickness is the measure of the smallest dimension of a solid figure.
To calculate the thickness of the sheet of tin metal, we use the formula below.
Formula:
T = m/DA............ Equation 1Where:
m = Mass of the sheetT = Thickness of the sheetD = Density of the sheetA = Cross sectional area of the sheetFrom the question,
Given:
m = 45.5 gD = 7.25 g/cm³A = 50×50 = 2500 cm²Substitute these values into equation 1
T = 45.5/(7.25×2500)T = 2.5×10⁻³ cmHence, the thickness of the sheet is 2.5×10⁻³ cm.
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which statement if wrong regarding slip i. initial slip increases strength of a material ii. slip account for the elastic deformation iii. slip is the motion of a crystal plane iv. slip causes the plastic deformation
Option iv. slip causes plastic deformation is the wrong statement. Slip is a key factor in the deformation of metals. It entails the movement of crystal blocks over one another along various crystallographic planes that we refer to as slip planes. It occurs in separate atomic spacing multiples.
After deformation, the crystal's orientation above and below the slip plane is the same as it was before.
It happens over a number of milliseconds.
It takes place over a large plane.
There are slip lines whether the number is even or odd.
Slip occurs when the critical resolved shear stress, also known as the shearing stress threshold, is reached on the slip plane in the slip direction.
The complete question is attached as an image.
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Consumer surplus will _____ when a monopolist goes from single-price monopoly to perfect price discrimination. Remain the same increase decrease initially increase and then return to its original level.
Under perfect price discrimination, buyers enjoy no consumer surplus at all. Instead, total surplus consists entirely of producer surplus for the monopoly.
The enterprise is allocatively green producing where the price is same to the marginal cost with the aid of proscribing output and raising rate, the unmarried fee monopolist captures a portion of the consumer surplus. When you consider that output is restrained, a portion of each the purchaser and manufacturer surplus is lost.
Price discrimination, takes place whilst a commercial enterprise fees the most feasible fee for each unit consumed. due to the fact prices range amongst devices, the firm captures all available consumer surplus for itself or the monetary surplus.
Price discrimination happens while a monopolist fees the equal consumer exceptional expenses for the distinctive gadgets of a commodity, despite the fact that these units are in truth homogeneous. this type of situation is defined as flawlessly discriminating monopoly.
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elect all that are true of bone remodeling. check all that apply remodeling occurs at about the same rate everywhere in the skeleton.remodeling occurs at about the same rate everywhere in the skeleton. osteoclasts are involved in the remodeling process. osteoclasts are involved in the remodeling process. bone remodeling is a combination of bone deposition and resorption.
The true statements are Osteoclasts are involved in the remodeling process, and bone remodeling is a combination of bone deposition and resorption, bones are remodeled to accommodate the stresses put on them.
The remodeling cycle contains three consecutive phases: resorption, throughout which osteoclasts digest old bone; reversal, when mononuclear cells are discovered on the bone surface; and formation when osteoblasts lay down new bone until the contracted bone is completely replaced. Bone remodeling is an active and dynamic process that depends on the correct balance between bone resorption by osteoclasts and bone settling by osteoblasts. Therefore, these two functions must be tightly associated not only quantitatively, but also in time and space.
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This vehicle control symbol is used to determine ___________________. *
a. low gas levels
b. windshield wipers
c. low oil pressure
d. anti-lock brakes
This vehicle control symbol is used to determine low oil pressure.
A complete vehicle control system involves one ECU, which controls all aspects of the vehicle.
The advantages of central control are predominant into main areas, i.e. inputs and outputs. On the input side consider all the inputs required to operate each of the following three systems.
• Ignition system
• Fuel system
• Transmission system.
One central control system can potentially decrease the complexity of the wiring while increasing the possibilities for control. If each system is operating independently it is possible that each may not react to some extent in the best way with respect to the others.
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if the spring is pulled until it stretches 3.00 cm and the pack remains at rest, what is the force of friction exerted on the backpack by the table?
4.5 N is the force of friction exerted on the backpack by the table.
given:
Spring constant speing, k = 150 N/m
Extension spring, x = 3.00 cm = 0.03 m
Force=kx
Force=150×0.03
Force=4.5 N
Friction force is the resistance that forms at the point of contact between two or more objects when they move over one another. The direction of the friction force is always parallel to the motion of the object.
The surface's roughness and external pressures have an impact on how much friction occurs. The rougher the surface, the stronger the force of friction acts on it. The same is true of external elements.
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Q. Calculate the equivalent hydraulic conductivity value of a horizontally layered system in the vertical direction kEQ,V (assume Layer 1 has k1 and Layer 2 has k2). Follow the same logic of the derivation given in class for the equivalent hydraulic conductivity of a layered system in the horizontal direction. If k1 = 100 k2, which layer will control the flow through the system?
By Darcy’s law, with a constant flow rate through each layer, the gradient will be different in each layer.
What does Darcy's law explain?The equation known as Darcy's law describes how a fluid moves through a porous media. Henry Darcy developed the rule based on the findings of experiments on the movement of water through sand beds, which served as the foundation for hydrogeology, a subfield of earth sciences. Similar to Ohm's law in electrostatics, it establishes a linear relationship between the volume flow rate of the fluid and the hydraulic head difference, which is frequently merely proportional to the difference in pressure.In the past, homogenization techniques have been used to derive Darcy's law from the Navier-Stokes equations, albeit Darcy first discovered it empirically.It is comparable to Fick's law in diffusion theory, Fourier's law in the field of heat conduction, and Ohm's law in the field of electrical networks.Find the attachment answer.
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The wire in (Figure 1) carries current I2, which is 20 times the current I1 of the loop; the direction of the current in the wire is shown. The magnetic field in the center of the loop is zero. The radius R of the loop is 1.2 cm.What is the distance d from the wire to the center of the loop?Express your answer with the appropriate units.
The distance d from the wire to the center of the loop is 7.64 cm.
What is loop?
A loop is a set of instructions that are repeatedly carried out until a specific condition is met in computer programming. Typically, a specific action is taken, such as getting and changing a piece of data, and then a condition is checked, such as determining whether a counter had also reached a predetermined value. If not, the following instruction in the sequence directs the computer to go back to the first instruction inside the sequence as well as repeat it. The following instruction "falls through" to a following sequential instruction as well as branches outside the loop if the condition has been met. A loop is a fundamental concept in programming that is frequently applied when creating programmes.
The distance d from the wire to the center of the loop is a result of the magnetic field created by the current in the wire. The magnetic field created by a current is proportional to the current and inversely proportional to the distance from the wire. Therefore, we can use the equation B=μI/2πd, where μ is the permeability of free space, B is the magnetic field, I is the current, and d is the distance from the wire to the center of the loop. We can rearrange this equation to solve for d: d= μI/2πB.
Plugging in the given values, we get d= (4π x 10^-7)(20I1)/2π(0) = 7.64 cm. Therefore, the distance d from the wire to the center of the loop is 7.64 cm.
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a diverging lens has a focal length of -27.0 cm. find the image distance when an object is placed 22.0 cm from the lens.
The focal length of a diverging lens is -27.0 cm.
What effect does a diverging lens have on an image?Negative lenses diverge parallel incident light rays and form a virtual image by extending traces of the light rays passing through the lens to a focal point behind the lens. In general, these lenses have at least one concave surface and are thinner in the center than at the edges.
A lens's object distance (u), image distance (v), and focal length (f) all have a relationship.
1/u+1/v=1/f
1/v=1/f-1/u \sv=uf/(u-f) So, if you know the other two variables, you can figure out v.
When the object is at infinity (far from the lens), v=f.
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You redo the primitive yo yo experiment (Figure 1), but instead of holding the free end of the string stationary, you move your hand vertically so that the tension in the string equals 2M /3. What is the vertical acceleration of the yo yo's cena of mass? Does it accelerate upward or downward? Express your answer to three significant figures and include the appropriate units. Enter positive value of the acceleration is directed upward and negative value if the acceleration is directed downward. "! A ? + 0 Units dere Value Submit Request Answer Part 6 What is the angular acceleration of the yo-yo around its axis? Express your answer in terms of Rand acceleration due to gravity g. A ROO? Submit Request Answer
0.66 m/s² is the vertical acceleration of the yo yo's cena of mass
T=Ma
2M/3=Ma
a=0.66 m/s²
Acceleration is the general term for any process where the velocity changes. There are only two ways to accelerate: either by increasing speed or decreasing direction, or both. The reason for this is that velocity includes both a speed and a direction.
You cannot possibly be accelerating if you don't also change your direction and speed, regardless of how swiftly you are traveling. Because of this, a jet experiences no acceleration even when it is moving at a high speed—in this case, 800 miles per hour—because its velocity is constant. When it lands, the jet will accelerate as it slows down and quickly come to a stop.
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Is the number one unsafe driving behavior that contributes to collisions and violations Select your answer then click or tap submit?.
Over speeding is the unsafe driving behavior that contributes to collisions and violations.
While driving any of a vehicle at an over speed decreases the response time of the driver before a collision and over speeding can cause the stopping time of the vehicle as we know that speed of an object is directly dependent upon distance travelled in a unit time. Therefore, greater the speed of the vehicle, larger the time it will take to stop and can be collided with any of obstacles on the roads. One must be driving his or her vehicle in a speed limit to have a control over the vehicle on the roads.
Hence, over speeding is the unsafe driving behavior that contributes to collisions.
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How much would a person weigh on Mars if the person weighs 75 kg on Earth?.
So permit's don't forget the W dash as the weight of the man or woman at the surface of Mars. So with a purpose to be the mass of this astronaut, with a view to continue to be steady everywhere. times the acceleration because of gravity at the floor of Mars, 3.8. So here, whilst we multiply 75 through 3. eight, that's going to get us to 85 Newton's.
overline{a} = frac{v - v_0}{t} = frac{Delta v}{Delta t}
overline{a} = common acceleration
v = very last pace
v_0 = beginning pace
t = elapsed time
Acceleration is the rate at which pace modifications with time, in phrases of each velocity and route. A point or an object moving in a direct line is multiplied if it quickens or slows down.
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The following four objects roll without slipping along a horizontal surface toward an incline. The velocity of the center of mass of each of the objects is the same at the bottom of the incline. Which of the objects will roll the greatest distance up the incline before coming to rest? Shape Mass Radius Ring М 2R Shape Mass Radium Solid sphere 2M R Radius Shape Mass Disk М 2R Shape Radius Mass Disk 2M All four objects will roll the same distance up the incline
Each of the four objects will travel the same distance up the inclined plane.
What's the connection between mass and speed?Momentum is directly proportional to mass and velocity. The momentum of the item increases proportionally as either mass or velocity are increased. The momentum is doubled for every unit increase in mass or speed.
How does mass influence speed?Indirect effects of mass on speed exist. It identifies the rate at which an object can alter its speed in response to a specific force. Lighter objects alter their speed under a given force with less time required.
How fast is the centre of mass moving?By dividing the total momentum (mass times velocity) by the sum of each particle's momentum, the centre of mass velocity equation may be found.
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what is the change in internal energy of a thermodynamic system that does 100 j of work on its surroundings while absorbing 150 j of heat?
Answer:
Change in internal energy:
ΔU = 50 J
Explanation:
Given:
A = 100 J - Work
Q = 150 J - Quantity of heat
_________
ΔU - ?
First law of thermodynamics:
Q = ΔU + A
Change in internal energy:
ΔU = Q - A
ΔU = 150 - 100 = 50 J
What happens to force between two objects if distance and mass is halved?.
The force between two objects will remain same, if distance and mass is halved.
According to the law of gravitation, the force of attraction and repulsion between two objects is directly proportional to the product of their masses and inversely proportional to the square of their distance between them.
And is given as:
F = k [tex]\frac{Mm}{r^{2} }[/tex]
Given,
Mass of the first object = M
And mass of the second object = m
The distance between the objects = r
If distance and masses of both the objects gets halved then force between the objects will be:
F = k [tex]\frac{\frac{M}{2} \frac{m}{2} }{(r/2)^{2} }[/tex]
= kMm/[tex]r^{2}[/tex]
Hence, the force between the two objects will remain same.
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which factor leads to interference between waves? (2 points) a varying phase relationship between waves similar wave amplitudes unequal wavelengths radiation through different regions
The factor that leads to interference between waves is similar wave amplitudes. So, the correct option is b.
Constructive interference occurs when the crests of one wave overlap the crests of the other wave, causing an increase in wave amplitude. Destructive interference occurs when the crests of one wave overlap the troughs of the other wave, causing a decrease in wave amplitude. To set up a clear interference pattern, two conditions must be met: The sources of the waves must be coherent, which means they emit identical waves with a constant phase difference. The waves should be monochromatic - they should be of a single wavelength.
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Answer:
Similar wave amplitudes
Explanation:
I got it right on the test.
When ultraviolet light with a wavelength of 400 nm falls on a certain metal surface, the maximum kinetic energy of the emitted photoelectrons is measured to be 1. 10 ev.
The maximum kinetic energy of the emitted photoelectrons when light of wavelength 315 nm falls on the same surface is 1.937 eV.
Electrons are released when a material is exposed to electromagnetic radiation, such as light, and this property is known as the photoelectric effect.
For solving the above problem, we use this formula,
E = Ф + K.E
where, Ф is work function
It can also written as hc / λ - K.E = Ф
Ф = 6.63* 10⁻³⁴ * 3* 10⁸/ 400* 10⁻⁹ - 1.6* 10⁻⁹ * 1.1
= 3.209* 10⁻¹⁹ J
K.E = hc/λ - Ф = (6.63* 10⁻³⁴ * 3* 10⁸) /(315* 10⁻⁹) - 3.209* 10⁻¹⁹ = 3.1* 10⁻¹⁹ J
KE = 3.1* 10⁻¹⁹/1.6* 10⁻⁹ = 1.937 eV
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Is Ophelia a static or dynamic character?.
Ophelia is a dynamic character.
In Shakespeare's Hamlet, for example, the individual of Hamlet is dynamic due to the fact his attitudes and movements at the top of the play stand in direct assessment to those at the play's beginning; inside the same paintings, Polonius is static due to the fact his person is constant and does now not exchange.
Of all of the pivotal characters in Hamlet, Ophelia is the most static and one-dimensional. She has the capability to grow to be a sad heroine to conquer the adversities inflicted upon her, however, she as a substitute crumbles into madness, becoming merely tragic.
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A flywheel with a radius of 0.600 m starts from rest and accelerates with a constant angular acceleration of 0.200 rad/s2 . Part A: Compute the magnitude of the tangential acceleration of a point on its rim at the start.; Part B: Compute the magnitude of the radial acceleration of a point on its rim at the start.; Part C: Compute the magnitude of the resultant acceleration of a point on its rim at the start.; Part D: Compute the magnitude of the tangential acceleration of a point on its rim after it has turned through 60.0 ∘; Part E: Compute the magnitude of the radial acceleration of a point on its rim after it has turned through 60.0 ∘.; Part F: Compute the magnitude of the resultant acceleration of a point on its rim after it has turned through 60.0 ∘.; Part G: Compute the magnitude of the tangential acceleration of a point on its rim after it has turned through 120.0 ∘.; Part H: Compute the magnitude of the radial acceleration of a point on its rim after it has turned through 120.0 ∘.; Part I: Compute the magnitude of the resultant acceleration of a point on its rim after it has turned through 120.0 ∘.
Part A:
Radius of flywheel = 0.600 m
Angular acceleration of flywheel (αₐ) = 0.200 rad/s²
The tangential acceleration of a point at the start (αₓ) =
= αₓ = αₐ × r
= αₓ = 0.200 × 0.600
= αₓ = 0.12 m/s²
Part B:
Radius of flywheel = 0.600 m
Angular acceleration of flywheel (αₐ) = 0.200 rad/s²
Angular speed = ω = 0 m/s²
Magnitude of radial acceleration of a point on rim at the start (αₙ)=
= (angular speed)² × r
= 0 × 0.600
= 0 m/s²
Part C:
Radius of flywheel = 0.600 m
Angular acceleration of flywheel (αₐ) = 0.200 rad/s²
Resultant acceleration of a point on the rim at the start =
= α =√(αₙ² + αₓ²)
= α = √ (0² + 0.12²)
= α = 0.12 m/s²
Part D:
Radius of flywheel = 0.600 m
Angular acceleration of flywheel (αₐ) = 0.200 rad/s²
Angular speed = ω = 0 m/s²
The tangential acceleration of a point after 60° turn (αₓ₁) = The tangential acceleration of a point at the start (αₓ)
= αₓ₁ = αₐ × r
= αₓ₁ = 0.200 × 0.600
= αₓ₁ = 0.12 m/s²
Part E:
Radius of flywheel = 0.600 m
Angular acceleration of flywheel (αₐ) = 0.200 rad/s²
Angular speed = ω = 0 m/s²
Angular speed after 60° turn = ω₁ = √(ω² + (2×α×θ))
To find θ,
= θ = 60Π / 180
= θ = Π/30
= θ = 1.04 rad
Thus, ω₁ = √(0 + 2 × 1.04 × 0.2)
= ω₁ = 0.644 rad/s
The radial acceleration of a point after 60° turn (αₓ₂) =
= αₓ₂ = r × ω₁²
= αₓ₂ = 0.600 × 0.644²
= αₓ₂ = 0.248 m/s²
Part F:
Radius of flywheel = 0.600 m
The tangential acceleration of a point after 60° turn (αₓ₁) = 0.12 m/s²
The radial acceleration of a point after 60° turn (αₓ₂) = 0.248 m/s²
The magnitude of resultant acceleration of a point on the rim after 60° turn (α₃) =
= α₃ = √ (αₓ₂² + αₓ₁²)
= α₃ = √ (0.12² + 0.248²)
= α₃ = 0.275 m/s²
Part G:
Radius of flywheel = 0.600 m
Angular acceleration of flywheel (αₐ) = 0.200 rad/s²
Angular speed = ω = 0 m/s²
The tangential acceleration of a point after 120° turn (αₓ₁) = The tangential acceleration of a point at the start (αₓ)
= αₓ₁ = αₐ × r
= αₓ₁ = 0.200 × 0.600
= αₓ₁ = 0.12 m/s²
Part H:
Radius of flywheel = 0.600 m
Angular acceleration of flywheel (αₐ) = 0.200 rad/s²
Angular speed = ω = 0 m/s²
Angular speed after 120° turn = ω₁ = √(ω² + (2×α×θ))
To find θ,
= θ = 120Π / 180
= θ = 2Π/3
= θ = 2.09 rad
Thus, ω₁ = √(0 + 2 × 2.09 × 0.2)
= ω₁ = 0.836 rad/s
The radial acceleration of a point after 120° turn (αₓ₂) =
= αₓ₂ = r × ω₁²
= αₓ₂ = 0.600 × 0.836²
= αₓ₂ = 0.502 m/s²
Part I:
Radius of flywheel = 0.600 m
The tangential acceleration of a point after 120° turn (αₓ₁) = 0.12 m/s²
The radial acceleration of a point after 120° turn (αₓ₂) = 0.502 m/s²
The magnitude of resultant acceleration of a point on the rim after 120° turn (α₃) =
= α₃ = √ (αₓ₂² + αₓ₁²)
= α₃ = √ (0.12² + 0.502²)
= α₃ = 0.515 m/s²
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What is the relationship between the law of supply and the quantity supplied?.
According to the law of supply, a cornerstone of economic theory, an increase in price causes a rise in the amount provided while other variables remain constant.
In other words, there is a direct correlation between price and quantity, with quantities responding to changes in price in the same manner. This indicates that manufacturers are prepared to increase output as a strategy to boost earnings by putting more of a product on the market for sale at higher prices.
The rising slope of the supply curve is caused by the law of supply, which is an association between the amount provided and the price that is positive.
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