suppose the resistance of a wire is r. what will be the resistance of another wire of the same material having the same length but double the diameter?

In any interaction between objects, the total momentum of the objects before the interaction is equal to the total momentum of the objects after the interaction.

Conservation of momentum is a fundamental law of physics that states that the total momentum of a system of objects is conserved if no external forces act on the system.

During a collision, momentum is transferred between the objects involved in the collision. According to the law of conservation of momentum, the total momentum of the objects before the collision is equal to the total momentum of the objects after the collision. This means that the momentum of the system as a whole is conserved.

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To obtain the lowest power at the detector, move the ideal mirror to the right by 86.2 nm; the lowest power is 0.225 mW.

We can divide a laser beam into two pathways using a 50-50 beam splitter, bounce one route off a perfect mirror, and bounce the other path off a mirror that does not reflect all light to form an interferometer.

In this configuration, interference between the two laser light streams can result in a pattern of both constructive and destructive interference that can be picked up by a detector.

We can adjust the ideal mirror to the right to create a minimal power at the detector if the measured power is initially at its maximum. This is due to the fact that shifting the mirror can alter the interference pattern by changing the distance between the two pathways taken by the laser light.

We may utilize the fact that the measured power is highest when the two laser light streams are in phase and minimum when they are out of phase to calculate how far we need to move the ideal mirror. The power measured at the detector when just the vertical arm is blocked is 2.25 mw, and when only the horizontal arm is blocked, it is 2.025 mw.

Power detected at detector is:

P = (1/2) * [tex]P_in[/tex] * (1 +- [tex]cos(Δφ)[/tex]))

where [tex]P_in[/tex] : incident power, Δφ : light phase difference and the ± sign depends on whatever path is blocked.

When power: maximum, phase difference :integral multiple of [tex]2\pi[/tex], i.e., Δφ = [tex]2\pi n[/tex]. When the power is minimum, the phase difference is an odd multiple of π, i.e., Δφ = [tex](2n+1)\pi /2.[/tex]

Solve phase difference:

Δφ = [tex]arccos[(4P_min/P_in) - 1][/tex]

[tex]P_min[/tex] :min power at detector =  2.025 mw.

Substitute values:

Δφ = [tex]arccos[(4*2.025/9) - 1] = 2.18 radians[/tex]

To find detector power, change the phase difference to [tex](2n+1)\pi /2[/tex]. Move perfect mirror by a distance Δx :

Δφ = [tex](2n+1)\pi /2 = 1.57, 4.71, 7.85, ...[/tex]

We use laser wavelength to find distance Δx:

Δx = Δφ * λ / [tex]2\pi[/tex]

λ: laser wavelength wavelength which is 400 nm

Substitute values:

Therefore,

Δx = 86.2 nm

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Energy bonds for utilities tied to Bakken shale oil are especially risky because of the volatile nature of the oil industry and because their oil is expensive to extract due to its geographic location.

The Bakken shale oil fields in North Dakota and Montana have been a major source of oil production in the United States, but the industry has seen a lot of ups and downs in recent years. This volatility can make it difficult for utilities to accurately predict their revenues and expenses, which can make it difficult to repay the bonds.

Additionally, the Bakken shale oil fields are subject to a number of environmental and regulatory risks, which can also impact the profitability of the utilities. As a result, energy bonds for utilities tied to Bakken shale oil are considered to be especially risky investments.

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Azimuth is measured in degrees, with a full circle having 360 degrees, counting clockwise from north. A ten degree south of east object has an azimuth of 100 degrees.

Azimuth circles have 360 degrees in them. 90 degrees is equivalent to the east, 180 to the south, 270 to the west, 360 to the north, and 0 to the north. a horizon arc that is measured from a fixed point, such as true north, to the vertical arc that passes across the center of an object. Your azimuth is the line. You must now calculate the line's grid azimuth, or the angle between the line and grid north. Learn the concepts azimuth and direction by memorizing flashcards with terms like Ten degrees south of you, a brilliant star may be seen in the southern sky.

The term azimuth is used in astronomy and navigation to describe the horizontal angle between an object's direction and true north. The east is at 90 degrees, the south is at 180 degrees, and the west is at 270 degrees since it is often measured in degrees clockwise from the north.

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The two factors that determine gravitational attraction are mass and distance.

Gravitational force is the force of attraction between two objects that is directly related to their mass and the distance between them. It is one of the four fundamental forces of nature, along with the electromagnetic force, weak nuclear force, and strong nuclear force. The gravitational force is responsible for keeping planets in orbit around the sun, for holding the Earth and moon in their respective orbits, and for keeping the moon spinning on its axis.

The gravitational force between two objects is determined by the product of their masses and the inverse square of their distance. This can be expressed mathematically as: F = G (m1m2) / d², where F is the gravitational force, G is the gravitational constant, m1 and m2 are the masses of the two objects, and d is the distance between them. As the distance between two objects increases, the force of gravitational attraction between them decreases.

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Assuming the red ball was moving in a positive direction when it first collision with the blue ball, the blue ball's velocity after the impact is -9 m/s (indicating it is moving in the opposite direction).

When two bodies, such as two pool cues, a golf club and a ball, a hammer and a nail, two railroad cars when united, or a falling object and a floor, abruptly and forcefully meet in close proximity to one another, it results in a collision, also known as an impact.

Before the impact, the system's total momentum is:

p before = m1v1 + m2v2

Substituting the given values:

p before = (10 kg)(6 m/s) + (8 kg)(-11 m/s) = -2 kg m/s

Following the collision, the system's overall momentum is:

p after = m1v1' + m2v2'

The law of conservation of momentum states that the total momentum of the system before and after the collision is the same, so:

p before = p after

Using the given values as substitutes, find v2':

-2 kg m/s = (10 kg)(6 m/s) + (8 kg)(v2')

v2' = (-2 kg m/s - 60 kg m/s) / 8 kg

v2' = -9 m/s

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Unpolarized light passes through a Polaroid filter and emerges as polarised light with vibrations in a single plane and half the intensity of unpolarized light. Because of the chemical makeup of the filter material, Polaroid filters can polarize light.

The intensity of the unpolarized light is I

Intensity of the light after 1 st polariser I ' = I /2

Intensity of the light after 2 nd polariser I " = 37 %of I = 0.37 I

from malus law I " = I ' cos 2 θ

from this orientation θ = cos -1 ( √[ I " / I] )

                                θ = cos -1 ( √[ 0.37 I / I/2 ] )

                                θ = cos -1 ( √[ 0.37 *2 ] )

                                θ = cos -1 (0.86023 )

                                = 30.65 degrees

                                ~ 31 degrees

Therefore, 31 degrees is the angle between the transmission axes of the filter.

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The instantaneous acceleration of the mass when it is raised 6.30 cm and compresses the spring 2.50 cm is 16.26 m/s^2.

To solve this problem, we can use the equation for the force exerted by a spring:

F = -kx

When the mass is suspended at rest from the spring, the force exerted by the spring balances the weight of the mass, so we can write:

kx = mg

Solving for the spring constant, we get:

k = mg / x

Substituting the given values, we have:

k = (0.106 kg)(9.81 m/s^2) / 0.0380 m = 27.36 N/m

When the mass is raised 6.30 cm, the displacement of the spring is x = -0.0250 m (since the spring is compressed by 2.50 cm). The force exerted by the spring is:

F = -kx = -(27.36 N/m)(-0.0250 m) = 0.684 N

By Newton's second law, the net force on the object is:

Fnet = ma

where a is the instantaneous acceleration of the object.

The net force is the sum of the force exerted by the spring and the weight of the object:

Fnet = F + mg = 0.6875 N + (0.106 kg)(9.81 m/s^2) = 1.7239 N

Solving for the acceleration, we get:

a = Fnet / m = 1.7239 N / 0.106 kg = 16.2632 m/s^2

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Answer:

0.089 seconds

Explanation:

The time period of a wave is the reciprocal of its frequency and can be calculated as follows:

T = 1/f

Where T is the time period and f is the frequency.

Therefore, for a wave with a frequency of 11.2 Hz, the time period is:

T = 1/11.2 = 0.089 seconds (to 3 decimal places).

ALLEN

The wavelength of the light producing the fringe pattern is  (2 * 0.237 mm) / 798 = 0.00059mm.=590nm

To solve for the wavelength of the light producing the fringe pattern, we can use the formula:

wavelength = (2 * distance moved by mirror M2) / (number of fringes shifted)

Plugging in the values given, we get:

wavelength = (2 * 0.237 mm) / 798 = 0.00059 mm=590nm

Therefore, the wavelength of the light producing the fringe pattern is 0.00059 mm.

In a Michelson interferometer, a beam of light is split into two parts by a semi-transparent mirror called a beam splitter. One part of the beam travels to a fixed mirror, while the other part of the beam travels to a movable mirror. The two reflected beams recombine at the beam splitter and create an interference pattern that can be observed. By moving the movable mirror, the phase difference between the two beams changes, causing the interference pattern to shift. By measuring the number of fringes shifted and the distance the mirror is moved, it is possible to determine the wavelength of the light.

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The length of the string is 2.75m and the frequency of the pendulum is 0.2Hz.

Frequency is a measure of the number of cycles of a periodic wave that occur in a unit of time. It is usually expressed in Hertz (Hz), which is the number of cycles per second. The frequency of a wave determines its perceived pitch, with higher frequencies producing higher pitches and lower frequencies producing lower pitches.

a. The length of the pendulum required to achieve a period of 5 seconds can be calculated using the formula:

T = 2 * π * √(l/g)

where T is the period, l is the length of the pendulum, and g is the acceleration due to gravity (approximately [tex]9.8 m/s^2[/tex]). Solving for l:

[tex]l = (g * T^2) / (4 * π^2)[/tex]

Substituting T = 5 seconds and g =[tex]9.8 m/s^2[/tex], we get:

[tex]l = (9.8 * 5^2) / (4 * π^2)[/tex] = 2.75 meters

So the correct answer is c. 2.75 meters.

(22) b. The frequency of a pendulum is given by the formula:

f = 1 / T

where f is the frequency and T is the period. Substituting T = 5 seconds, we get:

f = 1 / 5 = 0.2 Hz

So the correct answer is d. 0.2 Hz.

Therefore, The length of the string is 2.75m and the frequency of the pendulum is 0.2Hz.

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V = sqrt (KE * 2 / m) = 4.913 m/s, where KE = 0.5 * 0.58 * 1.6*1.6 = 0.7424 J. (c) Work done = change in KE = 7 - 0.7424 = 6.2576 J.

Work is the energy used by one thing to move another object across a distance by applying a force. The equation W = F x d calculates the work done on an item with a given force, F, and a certain distance, d. It should be noted that this equation presupposes that the force is applied in a direction parallel to the object's direction of motion. How to manage non-parallel circumstances will be covered in a later lecture.

When we apply force "F" to a block, the body moves with some acceleration or, moreover, its speed increases or decreases depending on the direction of the force. The system's kinetic energy changes as speed increases or decreases.

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The complete question is:

A 0.58 kg rubber ball has a speed of 1.60 m/s at point A and kinetic energy of 7.0 J at point B. (a) Determine the ball's kinetic energy at A (b) Determine the ball's speed at B (c) Determine the total work done on the ball from A to B

The exterior or housing, the audio reception and speaker system, the picture tube, and a complicated mass of electronics including cable.

Antennae input and output devices, a built-in antenna in most sets, a remote control receiver, and computer chips, make up the four main sets of parts that make up a television.

Typically, in addition to coaxial cable, HDMI, and other audio-video connectors, smart TVs also enable Ethernet, WiFi, USB, Bluetooth, and flash memory cards from digital cameras.

Therefore, the TV consists of exterior, audio reception, speaker system, and picture tube.

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The elongation of the spring is 19.9 cm.

What is Buoyant force?

Buoyant force is the upward force exerted on an object when it is immersed or floating in a fluid. It is a result of the pressure difference between the top and the bottom of the object due to the weight of the fluid it displaces. The magnitude of the buoyant force is equal to the weight of the displaced fluid. This is why objects that are less dense than the fluid they are in will float, while objects that are more dense will sink.

The buoyant force acting on the block of wood is given by:

FB = ρVg

where ρ is the density of the water, V is the volume of the displaced water, and g is the acceleration due to gravity.

The volume of the displaced water is equal to the volume of the block, which is given by:

V = m/ρ

= 4.15 kg / 661 kg/m³

= 0.006273 m³

So, the buoyant force is:

FB = ρVg = 1000 kg/m³ * 0.006273 m³ * 9.8 m/s² = 61.38 N

At equilibrium, the weight of the block is balanced by the spring force and the buoyant force:

mg = ks + FB

where m is the mass of the block, g is the acceleration due to gravity, k is the spring constant, s is the elongation of the spring, and FB is the buoyant force.

Solving for s, we get:

s = (mg - FB) / k

s = (4.15 kg * 9.8 m/s² - 61.38 N) / 166 N/m

s = 0.199 m = 19.9 cm

Therefore, the elongation of the spring is 19.9 cm.

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Decrease in pressure creates a net force acting on the piston, which pushes in the direction, piston inward and reduces the volume of the air inside the syringe.

When a capped syringe is plunged into cold water, the air inside the syringe will cool down and its volume will decrease. This change in volume will cause a change in presspistonure inside the syringe, which will cause the syringe piston to move in a particular direction.

Assuming that the temperature of the syringe and the water is initially in equilibrium, the pressure inside the syringe is equal to the atmospheric pressure outside the syringe. When the syringe is plunged into cold water, the air inside the syringe cools down and its volume decreases. This decrease in volume causes a decrease in the pressure inside the syringe, which is now lower than the atmospheric pressure outside the syringe. The result is a net force acting on the piston, which pushes the piston inward and reduces the volume of the air inside the syringe.

To see why this happens, we can use the ideal gas law, which states that the pressure, volume, and temperature of a gas are related by the equation PV = nRT,

[tex]P_1V_1 = nRT_1[/tex]

[tex]P_2V_2 = nRT_2[/tex]

here,

[tex]P_2[/tex] & [tex]V_2[/tex] are the final pressure and volume of the air inside the syringe.

Since the number of moles of air inside the syringe is constant, we can write:

[tex]P_1V_1 = P_2V_2[/tex]

If the volume of the air inside the syringe decreases, as it does when the syringe is plunged into cold water, then the pressure inside the syringe must also decrease. This means that the pressure inside the syringe is now lower than the atmospheric pressure outside the syringe. The result is a net force acting on the piston, which pushes the piston inward and reduces the volume of the air inside the syringe.

In summary, when a capped syringe is plunged into cold water, the air inside the syringe cools down and its volume decreases, which causes a decrease in the pressure inside the syringe. This decrease in pressure creates a net force acting on the piston, which pushes the piston inward and reduces the volume of the air inside the syringe.

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The fundamental frequency of a string that is fixed at both ends is given by

f = v /2sL

where v and L are the speed of sound and string length, respectively.

The amount of time it takes for the wave to travel the length of the string, on the other hand, is given by

t = L/v

As a result, we have

t = L/v

t = v /2f /v

t = 1 /2f

t = 1 /2f

t= 1/2(255hz)

t=1.96 *10⁻³s

The fundamental frequency is computed as f = v/2*L, where v is the speed of the sound wave and L is the length of a tube or device through which the wave is moving. Wavelength multiplied by frequency equals speed. The wave length in this equation is given in metres, while the frequency is measured in hertz (Hz), or the number of waves per second. As a result, wave speed is expressed in metres per second, the SI unit of speed. If the frequencies are all integers or precise multiples of a fundamental frequency, the greatest common divisor of the frequencies can be used. If the frequencies are 1760, 2200, and 3080, then the fundamental frequency is 440 since it is the greatest common divisor.

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A system is at rest. The mass of each object is shown. Neglecting the mass of the strings, the number of forces that are acting on the 6 kg block is option B. There are 2 forces

The system is at rest, so the forces acting on the 6 kg block must be balanced. Since the only forces acting on the block are the tensions in the strings, there must be two forces acting on the block. The correct answer is B. There are 2 forces.

Therefore, the mass of each object is shown. Neglecting the mass of the strings, the number of forces that are acting on the 6 kg block is option B. There are 2 forces.

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The mean and the standard deviation of the five measurements are 3.33kg and 1.038 kg respectively.

Standard deviation is a measure of the spread or dispersion of a set of data values. It is calculated by taking the square root of the variance, which is the average of the squared differences from the mean. It measures how much variation or dispersion from the average exists in the data set. A higher standard deviation indicates that the data points are spread out over a larger range of values, while a low standard deviation indicates that the data points are clustered closely around the average. Standard deviation is a commonly used measure in statistics and is used to compare the variability of different data sets.

To find the mean and standard deviation of these five measurements, use the following formulas:

Mean = (sum of all measurements) / (number of measurements)

Standard deviation = sqrt((sum of squared differences from the mean) / (number of measurements - 1))

First, find the mean:

Mean = (3.5 + 3.2 + 3.8 + 3.4 + 5.5) / 5 = 3.88 kg

So the mean mass of the five bricks is 3.88 kg.

Next, we can find the standard deviation:

Calculate the differences from the mean for each measurement:

-0.38, -0.68, 0.92, -0.48, 1.62

Square each difference:

0.1444, 0.4624, 0.8464, 0.2304, 2.6244

Add up the squared differences:

4.308

Divide the sum by the number of measurements minus one:

4.308 / (5-1) = 1.077

Take the square root of the result:

sqrt(1.077) = 1.038

So the standard deviation of the five measurements is 1.038 kg.

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The value of the resistance r is 20.25 ohms.

The value of the resistance r is calculated by applying Ohm's law as shown below.

Ohm's law states that the current flowing in a circuit is directly proportional to the voltage across the circuit.

V = IR

where;

P = IV

I = P / V

I = ( 32 W ) / ( 24 V + 12 V )

I = 0.889 A

R = V/I

R = ( 24 + 12 ) / ( 0.889 A )

R = 40.5 ohms

The value of each resistance, r is calculated as;

r = 40.5 ohms / 2

r = 20.25 ohms.

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The brightness of a star increases as it becomes bigger. It stands to reason that a larger star would have a larger surface. The larger surface area allows for the emission of more light and energy. The temperature of a star also affects its luminosity. Thus option E is correct.

The amount of light emitted from a star's surface, on the other hand, is referred to as brightness. The relationship between apparent brightness and luminosity changes with distance.

The size and effective temperature of a star can be used to calculate its brightness. The former is often expressed in terms of solar radii, whilst the latter is typically expressed in kelvins, but neither is typically physically measurable.

Therefore, 1/9 as bright. So it must appear fainter. Since brightness scales as 1/d^2 it will appear 3^2=9 times fainter.

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In wireless systems, wavelength is often expressed in metres (m), centimetres (cm), or millimetres (mm). Wavelength is typically represented by the Greek symbol lambda (λ).

The wavelength is the separation between the corresponding points of two succeeding waves, and is equal to the speed (v) of a wave train in a medium divided by its frequency (f). When two points or particles are referred to be "corresponding points," it means that they are both in the same phase and have completed exactly the same portions of their periodic motion. Typically, the wavelength of transverse waves—those whose points advance at right angles to one another—is measured from crest to crest or from trough to trough; for longitudinal waves—those whose points advance in the same direction—the wavelength is measured from compression to compression or from rarefaction to rarefaction.

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The closer the equipotential surfaces are to each other in a particular region, the stronger the electric field is in that region. The larger the distance between the equipotential surfaces, the weaker the electric field in that region. The distance between the equipotential surfaces is directly proportional to the strength of the electric field in that region.

The strength of the electric field in a region can be determined by the distance between the equipotential surfaces. If the equipotential surfaces are closely spaced, then the electric field in that region is strong. Conversely, if the equipotential surfaces are spaced far apart, then the electric field is weak. This is because the potential difference between two adjacent equipotential surfaces is directly proportional to the electric field strength in that region. Therefore, the closer the equipotential surfaces, the higher the potential difference, and the stronger the electric field.

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a. x = √2mgh / k

b. the compression would increase by a factor of √2

c. After the car has been brought to rest, the potential energy would then be converted into the kinetic energy

Let the mass of the car be w

spring constant = R

a. conservation of energy

energy at 1 = energy at the ground after compression

mgh = 1/2kx^2

x² = 2mgh / k

x = √2mgh / k

2. h = 2h

x = √2mgh / k

x = [tex]\sqrt[2]{mgh/k}[/tex]

x = √2 * x

compression increases by √2

3. After the car has been brought to rest, the potential energy would then be converted into the kinetic energy

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The normal force will be greater than 8 kN because the car will experience an additional downward force due to gravity.

The maximum speed that the vehicle can travel without 16 kN.

The car will feel an additional downward force from gravity, therefore the normal force will be more than 8 kN.

a) When the car passes over the crest, the normal force is one-half of the weight of the car. This means that the normal force is 1/2 x 16 kN = 8 kN. As the car passes through the bottom of the dip,

b) To determine the greatest speed at which the car can move without leaving the road at the top of the hill, you can use the following equation:

centrifugal force = [tex](mass \times velocity^2)[/tex] / radius

The centrifugal force is the force that acts outward when an object moves in a circular path. In this case, the circular path is the crest of the hill. The mass of the car is known to be 16 kN / 9.81 [tex]m/s^2[/tex] = 1,630 kg (assuming g = 9.81 [tex]m/s^2[/tex]). The radius of the crest of the hill is given to be 250 m. You can rearrange the equation to solve for velocity:

velocity = sqrt((centrifugal force x radius) / mass)

The maximum velocity at the crest of the hill is the velocity at which the centrifugal force is equal to the weight of the car:

centrifugal force = weight = 16 kN

Substitute the values into the equation to find the maximum velocity.

c) Once you have found the maximum velocity, you can use the same equation as in part a) to find the normal force on the car as it moves through the bottom of the dip. The normal force will be greater than 8 kN because the car will experience an additional downward force due to gravity.

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According to Bernoulli's Principle, pressure inside a flowing fluid falls as speed increases. The behaviour of an ideal fluid moving through a pipe or other confined tube, like a pump, is explained by the Bernoulli's Principle. Thus, option B is correct.

It's critical to state the principle accurately because how it is expressed can affect its ramifications. In reality, the Bernoulli principle states that in a flow of constant energy, fluid flow speeds up when it passes through a zone of lower pressure and vice versa.

As the total amount of energy must remain constant (energy conservation), this means that the random molecule energy or pressure must decrease in order for the stream flow energy to increase.

Therefore, pressure decreases when velocity of fluid flow increases.

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The magnitude of the average acceleration of the jetliner is 2.07 m/s².

An object's change in velocity over time is gauged by its average acceleration. It is computed by dividing the velocity change by the period of time during which the change takes place.

The formula for average acceleration is:

average acceleration = (final velocity - initial velocity) / time interval

Where the final velocity is the velocity of the object at the end of the time interval, the initial velocity is the velocity of the object at the beginning of the time interval, and the time interval is the duration of the interval over which the velocity changes.

Average acceleration is a vector quantity, meaning it has both magnitude and direction. The direction of the acceleration vector is the same as the direction of the change in velocity. The unit of average acceleration in the International System of Units (SI) is meters per second squared (m/s²).

To calculate the magnitude of average acceleration for the jetliner:

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Answer:

electron is the correct answer

Explanation:

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The physical properties of gold, such as its malleability, ductility, and electrical/thermal conductivity, are important for making synthetic products from gold.

Physical properties are characteristics of a material that can be observed without changing the composition of the material. Examples of physical properties include color, density, hardness, electrical conductivity, melting point, boiling point, and solubility.

From a chemical perspective, gold is a relatively inert element, meaning it is resistant to oxidation and other chemical reactions. This makes it ideal for use in applications where it may be exposed to harsh environments or corrosive materials, such as medical implants and aerospace components. Additionally, gold's unique properties make it suitable for use in catalytic reactions, meaning it can speed up chemical reactions without itself being consumed or affected. This is used in a variety of industries, such as the production of pharmaceuticals, food additives, and polymers.

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