The general differential equation of wave motion is ∂t∂y=v2∂x∂y.
What is the fundamental wave equation?All of the quantities in the wave equation, which is provided by y = 0.002 sin 2(5t - x/12), are given in SI units. After 0.2 seconds, determine the particle's displacement at a distance of 5 m from the origin.
Applying F=ma to a string of infinitesimal length dx yields the wave equation (see the diagram below). We imagine the basic harmonic motion of our tiny length of string bobbing up and down.
Since the fundamental wave equation is a linear differential equation, the superposition principle will be respected. This means that the displacements that would have been created by each wave individually are added to create the net displacement that is caused by two or more waves.
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A space probe is launched vertically into space. It launches from rest and accelerates at a rate of 29 m/s^2. How many seconds before the probe reaches the speed required to get into orbit 7,850 m/s^2
Answer: 270
Explanation:
To determine how many seconds it would take for a probe to reach that speed starting from rest and accelerating at a rate of 29 m/s^2, you can use the equation for average acceleration:
Average acceleration = (final velocity - initial velocity) / time
Rearranging the terms, we can solve for time:
Time = (final velocity - initial velocity) / average acceleration
In this case, the initial velocity is 0 m/s (since the probe is launching from rest), the final velocity is 7,850 m/s (the speed required to reach orbit), and the average acceleration is 29 m/s^2. Plugging these values into the equation, we get:
Time = (7850 m/s - 0 m/s) / 29 m/s^2 = 270.34 seconds
Therefore, it would take the probe approximately 270 seconds to reach the speed required to get into orbit if it is accelerating at a rate of 29 m/s^2.
2. A car is travelling at 50 km/h. The driver sees a child run out into the road 5m ahead. She applies the break and the car stops in 5 seconds. The driver's thinking time is 1.5 s. A. Will the car stop in time?
B. If the driver's thinking time is increased to 2.5 s, will the car stop in time? C. What happens if the thinking time is 1.5 s but the car is travelling at 64km/h?
Anwser:
A: No
B: No
C: No
Explanation:
V = 50km/h = 14m/s
V2 = 0m/s
t = 5s
a = V2 - V/t = -2,8m/s²
The distance the car will drive when hitting the brakes:
t = 5s
a = -2,8m/s²
v = 14m/s
d = v•t + ½a•t² = 14•5 + -1,4•25 = 35m
and 35m is greater than 5m, and this is even with not counting the thinking time(1,5s), in which the car would have traveled an extra 21m. So 56m in total.
What does 2+ on an atom mean?
2+ on an atom means that the atom needs 2 electrons to complete its octet.
As we know,
There are two types of elements present one is a Cation and the other is Anion.
Usually, when any of the elements are short 2 or more electrons, then in that case we place a plus sign in the superscript of the elements for denoting the deficiency of the electrons.
If any atom of an alkali metal group which are also called as group 1 atoms loses one electrons then such metals easily form a cation with one positive charge on it, in a same way the atoms of group 2 losses 2 electrons and forms a cations.
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When your powered vessel is underway Can your passengers sit with their legs hanging over the side?
No, when powered vessel is underway, the passengers can not sit with their legs hanging over the side.
Power boats are also known as motor or speed boats. As evident by their name, they are powered by the engine. The position of engine however varies in boats. It can be fit inside, outside or it can be hybrid. The latter case involved presence of parts of engine both inside and outside.
The postion of motor decides the seating position. While riding the boat, it is mandatory to follow certain rules and regulations as they benefit the passengers and not the boat company or boat renter. Safety first should always be the rule regardless of the passenger being tourist or local resident.
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an accident victim with a broken leg is being placed in traction. the patient wears a special boot with a pulley attached to the sole. the foot and boot together have a mass of 4.0 kg, and the doctor has decided to hang a m = 7.0kg mass from the rope. the boot is held suspended by the ropes and does not touch the bed. (figure 1)no title providedA) Determine the amount of tension in the rope by using Newton?s laws to analyze the hanging mass. Assume that ? = 11? ^ circ . Hint: If the pulleys are frictionless, which we will assume, the tension in the rope is constant from one end to the other.B) The net traction force needs to pull straight out on the leg. What is the proper angle ? for the upper rope?C) What is the net traction force pulling on the leg?
The amount of tension in the rope by using Newton's laws if The mass suspended on ropes is 7 kg, is 68.6 Newtons.
What is mass?A fundamental characteristic of an object, its inertia is quantified by its mass, which is a basic indicator of the volume of substance inside the thing. Because mass is such a fundamental quantity and is difficult to define in terms of another, definitions of it frequently appear circular.
It is possible to define every mechanical quantity in terms of mass, length, and time. The SI unit for mass, denoted by the letter m, is the kilogram.
Given:
The mass of the foot and boot, M = 4 kg,
The mass suspended by ropes, m = 7 kg,
Calculate the tension on the rope as shown below,
Tension on the ropes = m × a
Tension on the ropes = 7 × 9.8
Tension on the ropes = 68.6 N
Thus, the tension on the boot and foot is 68.6 N.
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a 0.50 t magnetic field is normal to the plane of a circular loop with a radius of 0.25 m. what is the magnetic flux through the loop?
The magnetic flux through the loop is 0.098 Wb.
Magnetic flux (often symbolized Φ), is the measure or amount of magnetic field B passing through a certain cross-sectional area, for example, a coil of wire (this is also often called "magnetic field density"). The unit for magnetic flux in International Units is the weber (Wb) (Weber is a derived unit from the volt-second).
Magnetic Flux Formula:
∅ = B A cos α
Where:
∅ = magnetic flux (Wb)
B = magnetic field (T)
A = cross-sectional area (m)
α = angle between B and the normal plane
On the given question:
B = 0.50 T
r = 0.25 m
α = 0° ⇒ because it is in a flat plane
A = πr²
Then substitute:
∅ = B A cos α
∅ = 0.50 x π (0.25)² x cos0°
∅ = 0.50 x 3.14 (0.0625) x 1
∅ = 0.098 Wb
So that the magnetic flux bear is 0.098 Wb
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What happens when light passes through slits?
Light is diffracted into semicircular waves when it travels through small apertures, Waves that line up crest to crest or trough to trough experience pure constructive interference.
What did you notice about the light's movement through the slits?On a faraway screen, one can see the light traveling through the two openings. The laws of geometrical optics apply, and the light forms two shadows when the widths of the slits are much bigger than the wavelength of the light.
What happens when there are two slits in a wave?The wave effectively splits into two new waves that each expand out from one of the holes as it passes through both of them. Then, these two waves start to interfere with one another. Where a peak and a trough meet occasionally.
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To determine the acceleration due to gravity, g using simple pendulum at
different places.
( IT IS MY SCHOOL PROJECT ITS SHOULD ME OF MINIMUM 20 PAGES )
By measuring the length of the pendulum and the period of oscillation at different locations, you can compare the value of g at those locations and see how it varies.
What is a pendulum?Generally, To determine the acceleration due to gravity using a simple pendulum, you will need to measure the length of the pendulum and the period of oscillation of the pendulum. The period of oscillation is the time it takes for the pendulum to complete one full swing.
To measure the period of oscillation, you can use a stopwatch or a timer to measure the time it takes for the pendulum to swing back and forth a certain number of times (such as 10 swings). The longer the pendulum, the longer the period of oscillation will be.
Once you have measured the length of the pendulum and the period of oscillation, you can use the following equation to calculate the acceleration due to gravity:
g = (4π^2L)/(T^2)
where:
g is the acceleration due to gravity π is the constant pi (3.14) L is the length of the pendulum in meters T is the period of oscillation in secondsRead more about pendulum
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consider an experiment where light of a single wavelength (monochromatic) is incident on a thin slit, creating a diffraction pattern. what change to the experiment will increase the size of the diffraction effect?
Dispersion of the diffracted image into the several colours that make up white lightJustification for the ideal selection
:The diffracted picture of the slit will become scattered into the individual hues of white light
when a monochromatic source is replaced by white light.
All other fringes will be the constituent colours, with white serving as the central maxima.
When light with a shorter wavelength is employed,
the width of the central brilliant fringe in the diffraction pattern shrinks
.(2) When the slit is made narrower, the width grows.
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A 2kg ball is held at a height with 250J of gravitational potential energy. The ball is dropped. Calculate the velocity of the ball just before it hits the floor.
The ball's potential energy is completely changed into its kinetic energy (E k), which is equal to 250 J, when it hits the ground.
If v is the speed the ball was traveling at when it hit the ground, then
E(k) = 1 /2 mv^2
V= √2Ek/m
V= √2*250/ 2
V= 15.81 m/s
potential energy, which is a form of stored energy that depends on the relative positions of different components in a system. When a spring is compressed or stretched, its potential energy increases. If a steel ball is raised above the ground as opposed to falling to the ground, it has more potential energy.
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What is the relation between λ and μ?
Physically speaking, the ability of electrical fields to traverse a standard vacuum is represented by the permittivity of free space.
What connection exists between λ and Î14? Physically speaking, the ability of electrical fields to traverse a standard vacuum is represented by the permittivity of free space.Approximately 8.854 × 10-12 F/m (farad per meter) is the constant, while the relative standard error is 1.5 x 10-10. No such mass or material item exists in a vacuum.The permittivity should therefore be close to 0. (and in fact 0 itself). Free space, on the other hand, has a permittivity of 8.85 x 10-12 F m-1, which means that there are no electromagnetic waves, particles, or charges present.
Vaccum permittivity:
Fc=4πε01×r2q1q2
Where ε0 is permttivity of vaccum.
Dimension will be [M−1L−3T4I2]
vaccum permeability:
μ0=4π×10−7N/A2
Dimensions will be [MLT−2I−2]
Dimensions for μ0ε01 will be [M−1L−3T4I2]×[M1L1T−2I−2]1=[L2T−2]
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mass = 28g
volume=?
density= 13 g/ml
Answer:
2.15ml
Explanation:
The formula for density is D = m/v
Since we already have density and mass, we need to rearrange the equation to find the volume.
The rearranged formula is V = m/D
V = 28g/13g/ml
The volume is 2.15ml
A student plots the current voltage graphs of three samples of nichrome wire. The samples have resistances R1, R2 and R3
The conclusions that are correct about the resistance include 1 and 3.
option C is the correct answer.
What is ohms law?
Ohms law states that the current flowing in ohmic conductor is directly proportional to the current across the conductor.
Mathematically, the formula for ohms law is given as;
V = IR
where;
I is the current in the conductorR is the resistance of the resistorThe power dissipated in a circuit is proportional to the square across the circuit.
P = IV
P = I²R
P = V²/R
where;
P is the power dissipated in the circuitFrom the formula given above, the power dissipated in the circuit is directly proportional to the square of voltage and inversely proportional to the resistance of the circuit.
The smaller the resistance, the more power is dissipated in the circuit.
In the given graph, R3 is the least resistance and it will have the most dissipated in the circuit.
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A car makes a trip due north for three-fourths of the time and due south one-fourth of the time. The average northward velocity has a magnitude of 32 m/s, and the average southward velocity has a magnitude of 29 m/s. What is the average velocity (magnitude and direction) for the entire trip?
Answer:
16.75 m/s North
Explanation:
Calculate a weighted average; North is the positive direction
(32 m/s).75 - (29 m/s).25 = 16.75 m/s N
The reactivity phenomenon of self-monitoring procedures has been shown to increase desired behaviors, decrease undesired behaviors. O both increase desired behaviors and decrease undesired behaviors. O neither increase desired behaviors nor decrease undesired behaviors.
In addition to several other factors thought to affect self-monitoring reactivity, such as the valence of target behaviours, motivation to change the target behaviour, the type of target behaviour, and self-monitoring accuracy,
the current study looked at a new variable, the number of behaviours self-monitored or multiple tracking. Self-monitoring is the process through which people keep track of when their own target actions occur. Self-monitoring is employed as a therapeutic technique in addition to serving as a data source since it frequently results in reactive behaviour modifications in response frequency. Face touching, nonfluencies, and value judgements were the three target behaviours that were mixed in all feasible ways (seven combinations), and one combination was given to each group to watch throughout the self-monitoring phase. Results showed that logging several behaviours
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How to calculate wave velocity for a given periodic wave with a wavelength of 3m has a frequency 6Hz?
The product of wavelength and frequency is always the speed of the wave.For this particular wave is 18 meters per second .
How can you calculate a wave's velocity given its frequency and wavelength? The wavelength ( = 0.9 m) and frequency ( = 0.9 m) values are supplied because one definition of wavelength is the distance a wave has gone after one full cycle, or one period.Since the wave velocity can be determined using v w = f, we can do so.Speed = Wavelength x Frequency describes how wave speed relates to both wave wavelength and wave frequency.By dividing the distance between the two fixed points by the interval between the detection of the wave edge at each location, one may determine the velocity using the leading edge data. The product of wavelength and frequency is always thespeed of the wave.For this particular wave,Speed = (3 meters) x (6 per second) = 18 meters per second .
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Which force comes into play when an object starts to move on a surface?
The resistance provided to moving objects by the surface they are sliding or moving on is measured as sliding friction or dynamic friction. Sliding friction starts to work as soon as even the object begins to move.
What do static and dynamic friction mean?
When two bodies are in touch with one another and at rest, they experience static friction. Friction is what keeps anything from flowing while it is motionless. Dynamic friction, also known as kinetic friction, is friction that prevents a body from moving while it is already moving.
What kinds of dynamic friction are there?
There are two forms of dynamic friction: Sliding Resistance Friction as it rolls.
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How did the sonar impact ww1?
Submarines were located during World War I by listening for their engines or propellers. The sonar operator wore a straightforward two-earphone (air tube) equipment, and by mechanically turning the receiver, could detect the direction from whence the sound originated.
When did sonar enter World War 1?
To combat the rising threat of submarine warfare, it was developed during World War I, and by 1918, a functioning passive sonar system was in use.
Who made sonar in World War One?
In order to find icebergs, Lewis Nixon created the first Sonar-style listening apparatus in 1906. The requirement to be able to detect submarines during World War I led to an upsurge in interest in sonar.
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A parallel circuit is one in which there is more than one point where the ____ divides and follows different paths.
Answer:
current
Explanation:
A parallel circuit is one in which there is more than one point where the current divides and follows different paths.
Which type of force is friction?
One kind of contact force is friction. It exists between surfaces that are in contact with one another.
Contact force: What is it?
Objects in interaction with each other exert a force on one another known as contact force. The point of immediate contact between two objects is where the contact force acts. This force may be brief in the form of such an impulse or it may be continual as a continuous force.
What, by way of example, is contact force?
A force which acts at the point where two objects come into touch is known as a contact force. Examples of contact stress include kicking a ball and pushing an car up a hill.
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What does +2 mean on an ion?
+2 charge on an ion means the given ion has 2 extra electrons.
In chemistry,
We often use symbols like plus (+) and minus (-) which is usually written in the superscript of the ions.
As + is given when the given ions have extra electrons.
As we know,
Every atom/ ion needs to complete an octet in its outermost orbit for becoming stable.
So, if in any of the ion +2 is written it means that the given ions have 2 extra electrons present in their outermost orbit and once the ion release those 2 extra electrons it becomes cationic in nature.
Similarly, if -2 is written it means that the given ions have 2 deficit electrons in their outermost orbit, so for becoming cationic the ions need 2 electrons.
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The international space station orbits the earth at about 27,578 kilometers every hour. What is this an example of
The international space station orbits the earth at about 27,578 kilometers every hour this an example of Speed.
What is Speed?Speed can be described as the rate of change of position of an object in any direction however the Speed can be described as the measured as the ratio of distance to the time in which the distance was covered.
It should be noted that Speed is a scalar quantity as it has only direction and no magnitude which makes it to be different from velocity.
Therefore, option A is correct.
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missing options:
Speed. Velocity. Acceleration.
What are the 7 decreasing frequency?
Microwaves, Infrared, X-rays, and gamma rays are electromagnetic waves in decreasing frequency order that is from highest to lowest.
The relationship between frequency and wavelength is inversely proportional. That means if wavelength increases then frequency decreases.
The wavelengths of electromagnetic radiation, such as microwaves, typically range from one meter to one millimeter.
Longer wavelengths than visible light are found in infrared electromagnetic energy, also referred to as infrared light.
An X-ray is a sort of penetrating, high-energy electromagnetic radiation. X-radiations are far less common.
Gamma rays, commonly known as gamma radiation, are short, sharp electromagnetic radiation waves created by the radioactive disintegration of atomic nuclei.
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a proton follows the path shown in (figure 1). its initial speed is v0 = 2.6×106 m/s.
The speed of the proton at point P is determined as 2.67 x 10⁶ m/s.
The speed of the proton at point P is determined by applying the principle of conservation of energy as shown below.
Total energy of the proton at the initial position = total energy of the proton at the final position
Ui + K.Ei = Uf + K.Ef
where;
U is potential energy
K.E is the kinetic energy
= kq₁q₂/r₁ + ¹/₂mv₁² = kq₁q₂/r₂ + ¹/₂mv₂²
= kq₁q₂/r₁ + ¹/₂mv₁² - kq₁q₂/r₂ = ¹/₂mv₂²
= kq₁q₂(1/r₁ - 1/r₂) + ¹/₂mv₁² = ¹/₂mv₂²
= ¹/₂mv₂² = kq₁q₂ (1/r₁ - 1/r₂) + ¹/₂mv₁²
= v₂² = 2/m [kq₁q₂ (1/r₁ - 1/r₂) + ¹/₂mv₁² ]
where;
m is mass of the proton
k is coulomb's constant
q₁ is the magnitude of the charge
q₂ is charge of proton
r₁ is the initial position of the proton
r₂ is the final position of the proton = 5 mm (from Pythagoras theorem)
= v₂² = 2/(1.67 x 10⁻²⁷) [9 x 10⁹ x 10 x 10⁻⁹ x 1.6 x 10⁻¹⁹ (1/0.003 - 1/0.005) + ¹/₂(1.67 x 10⁻²⁷)(2.2 x 10⁶)² ]
= v₂² = 7.14 x 10¹²
= v₂ = √ (1.44 x 10²³)
= v₂ = 2.67 x 10⁶ m/s
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The complete question is below:
a proton follows the path shown in (figure 1). its initial speed is v0 = 2.2×106 m/s. find the speed of the proton at point P?
find the volume of the given solid. bounded by the coordinate planes and the plane 8x + 5y + z = 40
which of the following graphs best represents the gravitational force between two point masses as a function of the distance between the masses?
Graph 3 represents the correct graph between the gravitational force and two point masses.
Let the gravitation force is taken as F and the distance between two point masses is taken as r.
We know the relation between the force, two point masses and distance between masses as,
F = (G m₁ m₂)/r²
where, G is the gravitational constant
m₁ and m₂ two point masses
r is the distance between them
From the above relation, it is clear that, F is inversely proportional to r².
So, when F increases, r² decreases.
The downward hyperbolic graph represented in graph 3 correctly represents the relation between gravitational force and two point masses.
The question is incomplete. the complete question contains various graphs between gravitational force and distance between masses. They are attached in the attachment below.
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They are 2 questions related to the same topic
1) Draw the electric field of a positively charged object with +5 charges
2) Draw the electric field of a negatively charged object with -10 charges
An electric field is an electric property associated with each point in space when charge is present in any form. The diagrams are attached
What is an electric field?The force per unit charge exerted on a positive test charge that is at rest at a given point is the force per unit charge that is used to define the electric field mathematically. Electric charge or magnetic fields with varying amplitudes can produce an electric field.
When charge is present in any form, a point in space has an electric field that is connected to it. The value of E, also known as the electric field strength, electric field intensity, or just the electric field, expresses the strength and direction of the electric field.
A self-propagating electromagnetic wave like light also requires an understanding of the electric field concept. We now have a way to explain how starlight travels across vast stretches of empty space to reach our eyes thanks to the electric field concept.
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1.The discontinuity effect is caused primarily by _________.Group of answer choicesnormative social influence and informational social influencefear and greedcoordination loss and reduced effortreduced evaluation apprehension and attitude polarizationdeindividuation and reduced evaluation apprehension2.Research has found that if you put people into two different groups, even if the basis is completely arbitrary (such as a coin flip), people will give preference (such as more money) to their own group over the other group. This is called ________ and it is one component of ________.Group of answer choicesthe illusory correlation; realistic group conflict theory.the minimal group paradigm; social identity theory.outgroup polarization; realistic group conflict theory.the illusory correlation; social identity theory.outgroup polarization; ethnocentrism3.
Fear and greed have a major role in the discontinuity effect. Realistic group conflict theory includes a concept known as outgroup polarization. Realistic group conflict theory is one of the options from the set of replies.
A characteristic of transverse waves called polarization (sometimes called polarisation) identifies the geometrical orientation of the oscillations is called polarization. The oscillation in a transverse wave occurs in a direction that is opposite to the wave's velocity. Vibrations occurring along a taut string, such as the string of a guitar, provide a straightforward illustration of a polarised transverse wave. Vibrations may be at a vertical, horizontal, or any other angle perpendicular to the string, depending on how the string is plucked. In contrast, polarization does not exist in longitudinal waves, such as sound waves in a liquid or gas, because the displacement of the oscillating particles always occurs in the direction of the wave's propagation.
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the methanogens producers of methane gas, require environments that A. have sunlight. B. are very acidic C. have abundant oxygen and Co2 D. are extremely cold E. are anaerobie with hydrogen gas and C02
The methanogens producers of methane gas, require environments that
are anaerobic with hydrogen gas and C02. Option E
What are methanogens?Methanogens are defined as microorganisms that produces methane as their by-product in oxygen-limited environments during metabolic processes.
Methanogens are produce methane following two pathways;
The reduction in carbon dioxide with hydrogen The conversion of acetic acid to methane and carbon dioxideSome properties of methanogens include;
They are strict anaerobesThey are archaea, belonging to the phylum EuryarchaeotaThey produce methane in large quantityHence, methanogens are anaerobic.
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The planets in our solar system orbit the sun. Consider the gravitational force between the sun and the planets. Based on mass alone, the gravitational force would be the greatest between the sun and.
Gravity The principal factor governing the planets' orbits around the sun is gravity. While each planet has its own gravity that is determined by its size and speed of motion, orbit is determined by the gravity of the sun.
If you were to stand on the surface of any planet in the solar system, or, in the case of the ice giants, float in its atmosphere, you would feel the following gravitational pull: Venus: 0.9 g Mercury: 0.38 g Moon: 0.17 g Mars: 0.38 g Saturn: 1.07 g Jupiter: 2.53 g 0.89 g Uranus Jupiter: 1.14 g The Planets' Gravitational Pull The two driving forces that propel the planets around the sun.
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