a 100-turn loop antenna of radius 20 cm operating at 10 mhz in air is to give a 50 mv/m field strength at a distance 3 m from the loop. determine (a) the current that must be fed to the antenna (b) the average power radiated by the antenna

The maximum transverse acceleration of a point on a wire is closest to 47,410 m/s²

The general wave function is:

y = A cos (ωt + Ф)

Where:

A = Amplitude

ω = angular frequency = 2πf

Ф = phase angle

The transverse acceleration is the second derivative of the above function:

a = d²y/dt²

  = -  ω²A cos (ωt + Ф)

Hence, the maximum transverse acceleration is:

a_max = ω²A

           = (2πf)²A

           = 4π²f²A = 4 x 3.14² x 570² x 3.7 mm/s²

           =  47,410 m/s²

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The focal length of projection lens is  0.039m.

The opposite of a concave lens is a convex lens. Contrary to concave lenses, light rays converge in convex lenses. In contrast to the concave lens, the convex lens is bigger in the middle and thinner at the edges, therefore it converges the incident rays into its central axis.

Instead of being bent inward, the convex lens' edges are curved outward. The image seems smaller and inverted when the light is extremely focused beyond the focal length of the lens.

A convex lens's opposite side's center of curvature, , creates the image of an object placed in the center of curvature, , of the lens. As seen in the given illustration, the picture that forms is inverted and the same size as the object.

The image is inverted

h/H

= -1.8/0.024

the distance from slide to screen d=p+q=76p

M =75

d=p+q=76p

p= 0.0395m

p= 39.5cm and q = 75p = 2.96

and

a)1/0.395+1/2.96=1/f

f = 0.039m

b) from above p = 39.5 mm

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A cyclist peddles from 5ft/s to 12ft/s over the distance of 50 ft. The acceleration will take place for 1.19ft/s^2. It can be calculated by the formula v^2-u^2 = 2as.

v^2-u^2 = 2as

a=v^2-u^2/2s =144-25/2(50)

a=119/100 =1.19ft/s^2

What is acceleration?

The rate at which the speed and direction of a moving object vary over time. A point or object going straight ahead is accelerated when it accelerates or decelerates. Even if the speed is constant, motion on a circle accelerates because the direction is always shifting. The rate at which velocity changes is called acceleration.

What three forms of acceleration are there?

The three main types of accelerated motions are uniform acceleration, non-uniform acceleration, and average acceleration.

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A cyclist peddles from 5ft/s to 12ft/s over the distance of 50 ft. The acceleration will take place for 1.19ft/s^2. It can be calculated by the formula v^2-u^2 = 2as.

v^2-u^2 = 2as

a=v^2-u^2/2s =144-25/2(50)

a=119/100 =1.19ft/s^2

The rate at which the speed and direction of a moving object vary over time. A point or object going straight ahead is accelerated when it accelerates or decelerates. Even if the speed is constant, motion on a circle accelerates because the direction is always shifting. The rate at which velocity changes is called acceleration.

The three main types of accelerated motions are uniform acceleration, non-uniform acceleration, and average acceleration.

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Time taken by the ball to reach its original height is 4 seconds.

The vertical motion is a motion that occurs when we toss an object completely up. Because the initial velocity or force is only applied in the vertical axis, this motion only moves vertically; if there is any horizontal movement, the air is to blame.Because a uniformly accelerated motion typically goes in the "x" axis, the vertical motion could be viewed as a version that moves in the "y" axis. The acceleration of the vertical motion will be equal to the gravity, therefore it can be thought of as a uniformly accelerated motion.

Given that gravity is an acceleration that points downward, it will always have a negative sign. One of the key prerequisites for vertical motion is that the object's initial velocity must be greater than zero; otherwise, the object will begin to rise and slow down until its initial velocity equals zero, at which point it will begin to fall and its velocity will steadily increase in the opposite direction until it collides with the ground.

The time take by the ball to reach back to its original height will be equal to twice of time taken to reach its maximum height.

According to the kinematic equations of motoion we know that

v = u + at

Here v = final velocity, u = initial velocity , a = acceleration, t = time taken to reach maximum height

We know that;

v = 0 m/s

u = 19.6 m/s

g = -9.8 m/s^2

Thus

t = v - u/a

 = 0 - 19.6/ (-9.8)

= 2s

Thus time taken by the ball to reach its original height is 2 x t = 4s.

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Mechanical energy is: True, Mechanical energy is chosen because the roller coaster choose will have large potential energy.

Mechanical energy is the sum of capability strength and kinetic energy. it's far the power related to the motion and role of an object. as an instance, a shifting vehicle possesses mechanical power in the shape of kinetic power, a compressed spring possesses mechanical power in the shape of potential power.

There are two kinds of mechanical electricity – movement (kinetic power) and saved (ability power). you can learn more in our manual that explains capacity and kinetic energy. Mechanical conversion depends on the quantity of capability energy an object has and what kind of kinetic strength it is able to produce.

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The middle ear is the part of ear that needs equalisation when changing altitude or scuba diving.

The water pressure you are diving through will affect the pressure in your outer ear. The Tympanic Membrane, also known as the "Eardrum," is located between the outer and middle ears. If there is an imbalance in the pressure between the two ears, the Tympanic Membrane will flex, resulting in discomfort or suffering.

The Eustachian Tubes, which are used to blow air into the middle ear, work to counteract this. Since the Eardrum is the only flexible portion of the middle ear, breathing more air into the middle ear will create pressure inside the middle ear, which will then cause the Eardrum to bend back to its original position. As a result, equalisation.

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Answer:

'brightness' and 'place' (?)

Explanation:

You can tell the distance in both simple and complicated ways; for instance, some methods like using luminosity don't work for all stars*

quote for better understanding:

"Farther methods are usually based on identifying what type of star a given star is, and estimating its luminosity .."

"..We then measure its apparent brightness (how bright it looks)* and do some math to figure out how far away it is."

(more detailed quote):

"By knowing the actual brightness and comparing it to the apparent brightness seen from Earth (that is, by looking at how dim the star has become once its light reaches Earth), they can determine the distance to the star."

Alternatively by observing the position of the star or its place a similar technique is used:

quote:

"Earth orbits the Sun, so it is in a slightly different position in January than in July. Nearby stars will seem to slightly shift in position in our sky relative to far-away stars."

In conclusion-- luminosity is commonly how astronomers know that stars are not all the same distance away from us.

a gamma-ray photon produces an electron and a positron, each with a kinetic energy of 375 keV.

wavelength of photon = 7.019 × 10⁻¹³ m

Total energy of photon = 1.77 MeV.

An object's kinetic energy is the energy it has as a result of motion. Applying force is necessary if we wish to accelerate an item. We must put forth effort in order to apply a force. Once the job is finished, energy is transferred to the item, which then moves at a new, constant speed.

The rest mass energy for electron and positron:

E₀ = m₀c²

E₀ = (9.1 × 10⁻³¹) × (3 × 10⁸)

E₀ = 8.198 × 10⁻¹⁴ J

E₀ = 512.4 × 10³ eV or 512.4 KeV

Total energy of photon:

= [2 × (375)] + [2 × ( 512.4 )]

= 1774.8 KeV

= 1.77 MeV.

Energy = hc/λ

or, λ = (6.626 × 10⁻³⁴) × (3 × 10⁸)

or, λ = 7.019 × 10⁻¹³ m

Thus, wavelength of photon = 7.019 × 10⁻¹³ m

Total energy of photon = 1.77 MeV.

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The Speed of 5.625 x 10¹⁴m/s will traverse in vacuum.

Maxwell not only developed a complete electromagnetic theory expressed in Maxwell's equations, but also brought all the work done by such great physicists as Oersted, Coulomb, Gauss, Michael Faraday, and his own insights. to develop electromagnetism. Maxwell's equations contain the most important laws of electricity and magnetism.

[tex]E/M=c[/tex]

[tex]E=esin[2\pi -wT]\\\\B=msin[2\pi -wt][/tex]

Maxwell calculated the speed of electromagnetic waves and found that the speed of electromagnetic waves is almost the same as the speed of light.

Maxwell's first equation tends to give a special form of Coulomb's law called Gauss's law of electricity.

speed = 1.5 x 3.75 x 10¹⁴=5.625 x 10¹⁴m/s

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The best approximation is 201.0 [tex]in^{2}[/tex]

we know that

The area of the circle is equal to

[tex]A= \pi r^{2}[/tex]

In this problem we have

r =8 in

[tex]\pi =3.14[/tex]

substitute

A= (3.14) ([tex]8^{2}[/tex]) =201.0 [tex]in^{2}[/tex]

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If placed in groundwater, a 0.60 kg gold crown would rise by a buoyant force of almost 11.58 N. You can ascertain the same using the formula provided:

Buoyant force = density of fluid x Volume of object x gravitational acceleration

= 1000 kg/m3 x 0.60 kg/m3 x 9.81 m/s2

= 11.58 N

When an item is submerged in a fluid, buoyant force, a kind of uplifting force, is applied to that item. An entity's buoyant force is proportional to the amount of both the fluid it has evacuated.

Step 1: Calculate the volume of the crown

Mass divvied up by concentration is just the formula for calculating an item's volume. The golden crown inside this instance weighs 19.3 x 103 kg/m3 in terms of density.

Volume = 0.60 kg/19.3 x 103 kg/m3

Volume = 0.0031 m3

Step 2: Determine how much water has been displaced by mass.

The crown's volume times the water is probably density gives the amount of water that is evacuated. Freshwater has a 1,000 kg/m3 density.

Mass of water moved is 0.0031 m3 times 1,000 kg/m3.Water displacement weight is equal to 3.1 kg

Step 3: Determine the buoyant force.

The buoyant force that an item experiences is proportional to the mass of the fluid which that item has displaced. The water that was removed weighs 3.1 kg in particular instance.

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0.62 sec is the time that will be required by the boy jumping on trampoline to return back to the starting position.

A trampoline is an activity of jumping up and down and it defines the conservation of energy, from potential into kinetic.

It also describes Hooke's laws and the spring constant. Furthermore, it verifies and illustrates each of Newton's three laws of motion.

Time of flight = 24/g

=2×3/9.8

=0.62 sec

The three forces, acting on the boy are tension of the spring, FBD and gravity (mg).

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The magnitude of the change in the object's momentum is c)80N-sec. So, option c is correct.

The momentum is defined as the consequence of a molecule's speed and its mass. Power and movement, meaning it has both greatness and the heading. As per Isaac Newton's second condition of movement, the power following up on a molecule rises to the time pace of increment of force.

We are given that the initial momentum of the system is 0.

Using the results of Newton second law of motion, we get

F = m × a

a = F/m

a = 10/6

a = 1.67 m/s²

Now, with the help of this acceleration, we can find the final velocity of the object.

So, according to first equation of motion, we get

v = u + at

v = u + (1.67)×(8)

v = 0+13.33 m

=>v=13.33 m

Now, we know momentum is given the cross product of mass and velocity.

Therefore, p = m × v

p = 6 × 13.33

or p = 80 N-s

Hence, change in object's momentum is c)80N-sec

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(Complete question) is:

A net force of 10 newtons acts on an object of mass 6.0 kilograms for 8.0 seconds. What is the magnitude of the change in the object's momentum?

a. 48 N-s

b. 60. N-s

c. 80. N-s

d. 480 N-s

The statement "The angular momentum of the propellers of a small airplane point directly forward from the plane" is false.

Angular momentum is a measure of an object's rotational motion and is defined as the product of the object's moment of inertia and its angular velocity. In the case of an airplane, the propellers spin about an axis that is perpendicular to the plane's direction of motion, so the angular momentum of the propellers points in the direction of this axis.

This direction is not necessarily directly forward from the plane and can vary depending on the orientation of the propellers and the plane's motion. Therefore, it is not true that the angular momentum of the propellers of a small airplane points directly forward from the plane.

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The simplest ratio of squares to total shapes if we have 8 squares and 10 circles is 4:9.

What is Ratio?

A ratio is said to be is the simplest form or in the lowest term if two quantities of a ratio (i.e., antecedent and consequent) have no common factor (i.e. antecedent and consequent are co-prime) other than 1 (or their HCF is 1). The ratio must always be expressed in its simplest form or in its lowest terms.

Now,

There are 8 squares and 10 circles.

We have, total shapes = 8 + 10 = 18

Hence, The simplest ratio of squares to total shapes = 8 : 18 = 4 : 9

So, The simplest ratio of squares to total shapes is 4 : 9

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110 J, the lever lift with an input force of 20. 0 n is 110 J.

The solution:The ratio of a lever's effort arm to its load arm determines its mechanical advantage.This is also known as the lever principle.

The pulley's raised object is referred to as the load, and the force needed to lift it is referred to as the effort force.Inside the diagram, a pulley is used to raise a block of wood by applying a force F, also known as the effort force.The load is typically multiplied by the number on ropes to determine the effort.

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The pressure doubles and the density of sample of gas remains the same when the absolute temperature of a sample of monatomic ideal gas is doubled at constant volume.

The effect of doubling the absolute temperature of a sample of a monoatomic ideal gas is that, the pressure doubles and density of the sample of gas remains the same.

According to ideal gas equation; PV = nRT; Where P is pressure and V is the Volume, n is the number of moles, R is the ideal gas constant and T is the absolute temperature.

Therefore, when the temperature of the mono atomic ideal gas is doubled, the pressure of the gas will also doubles.

However, in a closed chamber mass of the ideal gas is invariant, since density depends only on the mass and volume therefore the density of the ideal is gas will remain the same.

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The reason for the initial angular momentum is law of conservation of momentum and its value is constant.

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The frequency of the wave is 34Hz if speed of sound wave is 340m/sec and wavelength is 10Hz.

Frequency implies the amount of cycles in a particular unit of time. The support for why the sky is blue or anything contains assortment can be actually figured out by it. Besides, it can in like manner get a handle on why the voice of specific individuals is significant while for others it isn't significant. Moreover, repeat plays a significant impact on the notes of a piano or different instruments.

This number of occasions is verifiably a key property of a wave. The waves envelop people reliably. Besides, light is an electromagnetic wave and the fan is a sound wave. A wave is certainly a vibration and conveys energy with it. By and large objective, the amount of waves passing by each second suggests the repeat of the wave. Likewise, its assessment occurs in Hertz (Hz).

We know that for sound wave, there is a formula

c=ν×λ

where c is the defined as the speed of sound wave in any medium,

v is defined as the frequency of wave

and  λ is defined as the wavelength of the wave

So, we have speed(c) of sound waves=340m/sec

frequency(v)=? and wavelength(λ)=10m

=>340 = v×10

=>340/10=v

=>v=34/sec or

=>v=34Hz.

Hence, frequency of wave is 34Hz.

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(Complete question) is:

What is the frequency of the wave use 340 m/s as the speed of the sound wave and frequency of the wave is 10Hz?

Answer:

No the car did not skid

Explanation:

What is kinetic friction?

Kinetic friction is all about trying to stop one surface from skidding against another surface. When you have two things such as the wheel and the ground sliding against each other, this is kinetic friction.

Given:

The distance cover by the car is 3.5 m

radius ,r = 0.25m

Hence ,

The disctance the car will cover :

s = revolution x 2πr

s = 3 x 2*(3.14)*0.25

s = 4.71 m

Thus the car should cover 4.71 m but it only completes 3.5m as per given scenario.

Hence , the car will not skid.

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The KE of the car is 750v² J.

KE is the kinetic energy of the object which can be defined as the energy possessed by the object when it is in motion.

KE = ΔW

Where,

m = mass of the object

v = speed at which the object is moving

Mass of the car = 1500Kg

Velocity of the car = v m/sec

KE = (1/2)*m*v²

KE = (1/2)*1500*v²

KE = 750v² J

The KE a car with a mass of 1500kg running with a velocity v m/sec 750v² J.

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The force needed to hold a 0.003 kg sheet of paper and keep it from falling is equal to 0.0294 N.

According to Newton's 3rd law of motion, when two objects interact and exert force on each other, these forces are called action-reaction pairs. Force can be defined as a push or pull exerted resulting in its interaction with another.

From the second law of motion, the force is equal to mass time acceleration in the case of free fall gravitational acceleration.

Given the mass of the sheet paper, m = 0.003 Kg

The acceleration due to gravity, g = 9.8 m/s²

The weight of the sheet of paper can be calculated as:

W = mg

W = 0.003 ×9.8

W = 0.0294 N

Therefore, the force required to prevent the paper from keep falling will be equal to 0.0294 N.

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If the potential energy of pendulum increases then the kinetic energy decreases and if the kinetic energy increases then the potential energy decreases, thus conservation of energy remains constant.

According to the work power theorem the total energy of any object will remain constant like the sum of the kinetic and the potential energy of the object will remain constant.

The potential energy of any object is due to its position with respect to the ground. If the object is at a height of H then it will have a potential energy because some energy is given to that object against the gravity to move it to the height H.

The kinetic energy is the energy due to the velocity of the object and is given as the product of half mass to the velocity square.

we will express it in the form of the formula for better understanding:

Mechanical energy = Kinetic energy + potential energy

Now in the pendulum the motion is back and forth with respect to its mean position. So the mechanical energy (total energy) in the pendulum is the sum of the kinetic energy and the potential energy.

Now if the pendulum attains the maximum displacement from its mean position then it will have maximum potential energy and zero kinetic energy at this point.

Now if the pendulum is at the mean position now it will have maximum kinetic energy and zero potential energy at this point.At this point the potential energy totally converted to the kinetic energy.

Now at the maximum displacement the kinetic energy totally converts into the potential energy of the pendulum.

Thus If the potential energy of pendulum increases then the kinetic energy decreases and if the kinetic energy increases then the potential energy decreases.

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The hallmark of perceptual processes is the ability to determine that the direction of an object—even one that is not of a perceptual species—is the proper response. (Select A).

Direction can refer to a thing's course, the route one must follow to get there in particular, the direction something is beginning to take shape, or the direction you are facing. Going straight instead than left is an example of direction.

One is given instructions when they are given what to do and in what order. You are provided a set of instructions for many of your homework tasks and assessments. Understanding the motivation behind the instructions is crucial.

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The coefficient of friction between the rope and the support is 0.34

The amount of friction between two surfaces is measured by the coefficient of friction, or. A low coefficient of friction value means that less effort is needed to cause sliding than would be needed if the coefficient of friction were to be high.

We have to solve this problem by making use of the Capstan's equation

The equation is given as:

[tex]T_{load } = T_{hold} e^u^o[/tex]

u is μ , the coefficient of friction

o is Φ

the load = 7000

the hold support is 100N

Φ = 2π for a complete rotation

given that the rope is wrapped for 2 times we would have Φ = 4π

then

[tex]7000 = 100e^u^4^\pi[/tex]

take the log of both sides

u = log7000 / 100*4π

u = 0.338

Hence the coefficient of friction from what has been calculated is 0.34

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(a.) At frequency ω2, the reactance of the inductor will be 7 times the reactance of the capacitor. (b). The ratio of the reactance of the inductor to that of the capacitor is 7:1. (c.) At frequency ω3, the reactance of the inductor will be 1/7th the reactance of the capacitor. (d.) The ratio of the reactance of the inductor to that of the capacitor is 1:7.

a. When the frequency is changed to ω2 = 7ω1, the ratio of the reactance of the inductor to that of the capacitor is 1:7. This is because when the frequency increases, the reactance of the inductor increases while the reactance of the capacitor decreases.

b. The formula for calculating the ratio of the reactance of an inductor to that of a capacitor is Xl/Xc = (ω2/ω1)^2. Therefore, the ratio of the reactance of the inductor to that of the capacitor when the frequency is changed to ω2 = 7ω1 is 49:1.

c. When the frequency is changed to ω3 = ω1/7, the ratio of the reactance of the inductor to that of the capacitor is 1:49. This is because when the frequency decreases, the reactance of the inductor decreases while the reactance of the capacitor increases.

d. The formula for calculating the ratio of the reactance of an inductor to that of a capacitor is Xl/Xc = (ω3/ω1)^2. Therefore, the ratio of the reactance of the inductor to that of the capacitor when the frequency is changed to ω3 = ω1/7 is 1:49.

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With a wetted area of 3500 square metres and a length of 125 metres, a ship can travel at a maximum speed of 7.2 m/s. Power output from propellers is 1100 kilowatt. Also disregarded is wave drag.

The speed of a change in an object's location in any direction. Speed is defined as the ratio of distance to the amount of time it took to cover that distance. Due to its lack of magnitude and merely having a direction, speed is a scalar number. Power is the quantity of energy that is transferred or transformed in a certain length of time. The watt, which is equal to one joule per second in the International System of Units, is the unit of power. Power may also be referred to as activity in earlier writings.

R is equal to 1025*125/0.00107 power, or 0.0217 v(1025/2).

V^2*3500\sV =7.2m/s

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For the photoelectric effect, the expected observations for a particle theory of light are 1,3, and 6 and 2,4,5 for a wave theory of light.

The particle theory of light defines that light consists of minute particles. Light consists streams of small particles known as photons and travels in straight lines at great speeds which is reflected from mirrors in a predictable way. Wave theory of light suggests that light has a wave character and that it travels in a medium called ether as a longitudinal wave and undergoes diffraction and interference. The wave-particle duality theory states that waves can exhibit particle-like properties while particles can exhibit wave-like properties. Hence, based on the basic definition, the statement 1, 3, and 6 respond to particle theory of light and statements 2,4, and 5 respond to wave theory of light.

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The energy stored in the spring is 4 j when it is stretched 0.40 meters; the spring constant is 50 nm.

Elastic potential energy to define is the potential energy stored in spring when it is stretched by an external force. The energy remains stored before force is removed.

The force that needed to stretch the elastic body is directly proportional to displacement, means extension. It is given as

F =kx

Wherein,

k = spring constant

x = displacement

The Elastic Potential Energy Formula of the spring stretched is given as

P.E. = 1/2 k[tex]x^{2}[/tex]

Where,

P.E = elastic potential energy and it’s expressed in Joule.

To calculate P.E. =1/2 ×0.5 ×0.4 × 0.4 j

                           = 4j

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Answer:

On the other hand, acceleration is inversely proportional to the mass of the body being accelerated. That is, the greater the mass, the less acceleration.

Explanation: