a boat is traveling at 54 knots in a direction of 48°. it encounters wind moving at 14 knots in a direction of 20°. what is the true velocity and direction of the boat? round to the nearest whole number.

Yes, a coin flip system has equally probable microstates because the probabilities of heads and tails are both 50%.

What is microstate?
A microstate is a particular microscopic configuration of the a thermodynamic system which the system may occupy with a specific probability throughout its thermal fluctuations, according to statistical mechanics. The macroscopic characteristics of a system, including its temperature, pressure, volume, and density, are referred to as its macrostate. A specific set of values for the energy, the number of particles, as well as the volume of the an isolated thermodynamic system is thought to specify a specific macrostate of it, according to statistical mechanics treatments. Microstates are depicted in this description as various ways the system might be able to reach a specific macrostate.

Examples of systems where the microstates are not equally probable include rolling a dice, where each side has a different probability of being rolled, and the stock market, where the outcomes are not predetermined and are affected by many variables.

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The swirling gas that collects around a compact object, as its binary companion transfers material to it, is called NOT an event horizon.

NOT an event horizon is its binary counterpart, which transports matter to it.

What is an object in a sentence?

To refer to the item or person that is the target of an action, we typically use the word "object." Alternatively, the recipient. In a sentence, a verb's action is transferred to a noun or pronoun as a direct object. It typically responds to the what- or whom-questions regarding the verb.

What is a picture or an object?

Icons, cursors, buttons, sprites, and other complicated artworks can be made from a collection of simple visual pieces called image objects. Without having to sketch a single pixel, Image Objects let you express creativity.

The object we are talking about here is the death of the star.

Starlight is impacted by atmospheric winds, as well as regions with varying temperatures and densities, when it enters our atmosphere. The night sky appears to sparkle because of the impact of the Earth's atmosphere.

When starlight reaches the atmosphere, it is affected by winds in the atmosphere and areas with different temperatures and densities. This causes the star's light to sparkle when seen from Earth.

But when they run out of fuel, they die and supernova happens.

Therefore here, the object, we are talking in context with star and the swirling gas that collects around a compact object, as its binary companion transfers material to it, is called NOT an event horizon.

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The correct answer is resistor, inductor and capacitor.

Impedance of an LCR circuit is given by

Z = √[R² + (X₁ - X(C))²]

Z = √[R² + {2πνL - (1/2πνC)²]

The variation of Z with ν is shown in the figure.

As ν increases , Z decreases and hence current increases.

At ν = ν(r), Z is minimum,  current is maximum

Beyond

ν = ν(r)

Z increases and current decreases.

Therefore, the combination of circuit elements is most likely to comprise

the circuit are R, L and C .

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The minimum thickness of the film required will be equal to 78.85 nm.

When two waves add up in such a manner that the two waves cancel out and the there is no resulting wave then this phenomenon is known as Destructive interference of the waves. According to the question, light will be reflected two times, first from upper layer and then from the interface. So, the path travelled will be equal to 2t and the path difference will be  2tη_p. The values given in the question are

Index of refraction of polystyrene; η_p = 1.49

Index of refraction of Fabulite; η_f = 2.409

Wavelength of the light in air; λ = 470 nm

The formula for calculating minimum thickness is expressed as

2tη_p = λ/2

=> t = λ/2 × (1/2η_p)

=> t = λ/(4η_p)

=> t = 470/(4 × 1.49)

=> t = 78.85 nm

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The value of the major axis of the comet will be [tex]A=50AU[/tex]and the major axis of the comet is the sum of aphelion distance [tex]\left(a_y\right)[/tex] and perihelion distance [tex]$\left(p_y\right)$[/tex] is [tex]49 AU[/tex]

It is given that,

The value of the perihelion distance of 0.5 au and aphelion in the Oort cloud, at a distance of 50,000 au from the sun.

We need to determine the value of the orbital period of a comet

As we know,

Half of the semi-major axis is the radius of the orbit.

[tex]$$\begin{aligned}a & =\frac{50000 \mathrm{~A} \cdot \mathrm{U}}{2} \\& =25000 \mathrm{~A} . \mathrm{U}\end{aligned}$$[/tex]

From the Kepler's third law, the square of the period of a comet is directly proportional to the cube of its radius of the orbit.

So, applying the above concept.

We will get,

[tex]$$\begin{aligned}p^2 & =a^3 \\p & =[a]^{\frac{3}{2}} \\& =[25000 \mathrm{~A} U]^{\frac{3}{2}} \\& \approx 4 \times 10^6 \text { years (or) } 4.0 \text { million years }\end{aligned}$$[/tex]

(2) Using keplers third law calculate the semi major axis of the comet can be calculated as follows

[tex]$$\begin{aligned}p^2 & =a^3 \\a & =[p]^{\frac{2}{3}} \\& =[125]^{\frac{2}{3}} \\& =25 \mathrm{~A} . \mathrm{U}\end{aligned}$$[/tex]

So, the value of the major axis of the comet will be:

[tex]$$\begin{aligned}A & =2 \mathrm{a} \\& =2(25 \mathrm{~A} \cdot \mathrm{U}) \\& =50 \mathrm{~A} \cdot \mathrm{U}\end{aligned}$$[/tex]

Major axis of the comet is the sum of aphelion distance [tex]\left(a_y\right)[/tex] perihelion distance [tex]$\left(p_y\right)$[/tex].

[tex]$$\begin{aligned}A & =a_y+p_y \\p_y & =A-a_y \\& =50 \mathrm{~A} . \mathrm{U}-1.0 \mathrm{~A} . \mathrm{U} \\& =49 \mathrm{A.U}\end{aligned}$$[/tex]

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Its position of this particle D must be near the positive y-axis in the second meiotic division of the aforementioned equations.

This attraction that earth has on an object is referred to as gravitational force. Examples of motion brought on by gravitational force also include upwards motion of a ball being thrown, the downward motion of water moving through a stream, and the pull of gravity on river flow.

When two bodies are separated by a distance R and have masses M and m, the gravitational attraction between them is:

F= GMm/R²

The gravitational force is a result of the interaction between the gravitational forces exerted by particle B and particle C on particle A.

We can claim that because particle B has a larger mass than particle A does, the gravitational force was closer to and roughly equal to the mass of the bodies.

The net gravitational force on particle A would be zero if particle D force is exerted that is equal to it and opposite to the normal Force that results.

As a result, particle D need to be positioned close to the positive y-axis in the second quadrant.

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The lift in newtons due to Bernoulli's principle on a wing of area 89 m² is 22,704 N.

According to this question, the following information are given:

Area of the wing = 89m²

Density of air = 1.29kgm³

Speed at the top surface (V2) = 260m/sec

Speed at the bottom surface (V1) = 180m/sec

According to Bernoulli's principle, force is given by the following expression: F = A × d × V2 - V1/2

Where;

F = force

A = area

d = density

F = 89 × 1.29 × (260² - 180²)/2

F = 1.29 × 17,600

F = 22,704 N

Therefore, the lift in newtons due to Bernoulli's principle on a wing of area 76 m² is 22,704 N.

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The magnitude of the force of kinetic friction between the block and the floor is 2.4 N.

Kinetic friction is defined as the force that acts between moving surfaces.

Block weight = 8 Newton

Velocity of the block = Constant velocity

Assuming the kinetic friction for wood,  μ = 0.3, we have;

Normal reaction of the block on horizontal ground, N = Weight of the block = 8 N

Kinetic friction force between, F_k =  μ × N

Therefore, we must;

The kinetic frictional force between the block and the floor, F_k = 0.3 × 8  F_k = 2.4 N.

The magnitude of the force of kinetic friction between the block and the floor is 2.4 N.

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Yes, the motion of ball is following simple harmonic oscillation.

No matter where the ball is, there is a constant downward force applied by the bouncing object. Only at the bottom of the bounce is there a significant upward force. Nearly all of the damping is at the bounce point. The amplitude has a strong bearing on the period.

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These meteorites' appearance and makeup exactly match what we would anticipate if, as the nebular theory predicts, metal and rock condensed and accreted.

varieties of meteorites The number of meteorites discovered on Earth exceeds 60,000. These meteorites can be classified as either stony, iron, or stony-iron by scientists. Many sub-groups exist within each of these kinds.

The American Southwest, the African continent's northwest desert, and Antarctica are among the best locations for meteorite searching. Being a snow and ice desert, Antarctica is very cool (no pun intended), as it would be simple to notice a strange-looking, dark rock from space.

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Answer:

the activity in this is not an easy way to do it in my mind and the heart of the city is not a bad day to get to a new report from the University of Texas I think that it was not until you are looking for a way that it would have been a great job in the world and is not intended to limit the scope of this invention to provide a method and system and a lot of people are going to get.

Every star goes through distinct evolutionary stages that are determined by  its internal structure and method of energy production depending on its initial mass. The temperature and luminosity of the star change with each of these stages, and as the star develops, it can be seen moving to various locations on the HR diagram.

One of the most crucial tools for studying stellar evolution is the HR diagram, also known as the Hertzsprung-Russell diagram. It was independently created by Ejnar Hertzsprung and Henry Norris Russell in the early 1900's and plots either the colour of stars against their absolute magnitude or the temperature of stars against their luminosity.

The HR diagram is dominated by the main sequence, which extends from the upper left to the bottom right. In their cores, stars spend about 90% of their lives converting hydrogen to helium.

Low-mass stars reach their final evolutionary stage as white dwarf stars.

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[tex]v_{0}[/tex]= k [A]^x [B]^y is the general rate law or rate law equation for any chemicals reaction where A and B means concentration of the species.

Rate law or rate law equation is the equation linking the initial and final or forward reaction rate in any chemical reaction taking place. the general rate law equation is  [tex]v_{0}[/tex]= k [A]^x [B]^y.

 [tex]v_{0}[/tex]= k [A]^x [B]^y. here in the given equation A and B represents the concentration of the species reacting in the given chemical equation.

the data id find or calculated experimentally.

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The train can go a maximum distance of 119671.2 feet if it starts off at a slow speed, accelerates until it reaches cruising speed, and then maintains that speed for 15 minutes.

The train travels 117057.6 feet when it starts off at rest and must come to a complete halt in 15 minutes. Between two consecutive stops that are 45 miles apart, the train travels in 30.22 minutes overall. The distance between the stations is 55.92 miles.

This condition can be broken down into two kinematic equations:

d = 1/2*10*t2 for acceleration (No initial velocity) UNITS: foot, s

Knowing the ultimate velocity allows us to calculate t as follows: v=90mph=132ft/s=10*t, which equals t=13.2s.

d = 5*(13.2^2) = 871.2 ft

Constant speed for 15 minutes = 900s

 d = 132ft/s * 900s = 118800 ft

 Total Distance: 119671.2 ft = 22.665 mi

Split this situation up into 3 parts, Maximum distance would be maximum cruising time:

Accelerating to cruising speed: d = 871.2 ft, t = 13.2s

Decelerating from cruising speed:

d = 5*(13.2^2) = 871.2 ft

900 seconds at constant speed for 15 minutes

d = 132 feet per second multiplied by ninety seconds equals 118,800 feet.

Total distance: 22.665 miles or 119671.2 feet.

Divide this circumstance into three pieces. The maximum distance corresponds to the maximum cruising time:

Cruising speed acceleration: d = 871.2 ft, t = 13.2 s

Deceleration from cruise: d = -5*t2 + 132*t, v = 0 = -10*t + 132, t = 13.2s, d = 871.2ft

We know that while cruising, t = 900s - 13.2s - 13.2s = 873.6s, and d = 132*873.6 = 115315.2ft.

117057.6 feet or 22.17 miles total.

Similar to part b, but with the cruise distance known and the requirement to solve for time now (minimum time is maximum speed, so maximum cruising time).

d = 871.2 feet, t = 13.2 seconds, accelerating

d = 871.2 feet, t = 13.2 seconds, decelerating

When cruising, the distance is 45 miles and the altitude is 871.2 feet. The altitude is then multiplied by 1742.4 feet to get the total altitude, which is 235857.6 feet.

t = 235857.6/132 = 1786.8s

Total time: 1786.8 + 12.2 + 12.2 = 1813.2s or 30.22 minutes.

This portion is identical to part c, except that the order is reversed:

d = 871.2 feet, t = 13.2 seconds, accelerating

decreasing: d = 871.2 feet, t = 13.2 seconds

Traveling: t = 2250 - 26.4 = 2223.6s d = 132*2223.6 = 293515.2ft

Total distance: 293515.2 plus 1742.4 feet, or 55.92 miles.

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Vibration period T ignoring the mass of the spring itself:

k = mg/x = 0.315*9.8/0.275 = 11.23 N/m

Period T = 2π√(m/k) = 1.053 s

Displacement = 27.5 cm

where velocity is 0

potential energy = 0.5 kx^2 = 0.5*11.23*0.275^2 = 0.425

displacement = 15, 5 cm 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 √(A^2-x^2) = 1.36m/s

A = 0.275mx = 0

155 m

ω = √(k/m) = 5.97

Velocity = 5.97*√(0.275^2 -0.155^2) = 1.36 m/s

Total energy = 0, 5kx^2 = 0.3 .5*11.2 *0.275^2 = 0.424J

Kinetic energy = 0.5mv^2 = 0.5*0.315*1.36^2 = 0

Mass can best be understood as the amount of matter present in an object or body. Everything around us has mass. For example, tables, chairs, beds, soccer balls, glasses, and even air have mass.

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There is no charge present inside the car's body when lightning strikes the surface of the vehicle; instead, the charge runs over the vehicle's exterior. As a result, the electromagnetic current inside of the car is zero.

The electric field is the sum of the electric force on each charge, and the electric force on a charge at a given place in space is equal to the sum of the charge times the electric field there. In summary, electric charges produce electric fields.

The area of space surrounding a charged particle or object that exerts force on it can be referred to as the electric field. Examples: -Charges and their arrangements, such capacitors and battery cells, generate electric fields.

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The best reduces atmospheric distortion is through adaptive optics.

Optical aberrations can be fixed using a technology called adaptive optics (AO). The work that led to the Nobel Prize-winning discovery of a supermassive compact object at the center of our galaxy was made possible by a method that was initially devised to account for the blurring effect of atmospheric turbulence on images in ground-based observatories. We can research the functioning of the visual system and evaluate ocular health in the microscopic domain when AO is employed to compensate for the eye's defective optics.

By detecting retinal changes at the cellular level, AO allows us to adjust for the eye's imperfect optics. AO has expanded the capabilities of imaging in thick tissue specimens, such as when examining neuronal processes in the brain, by correcting for sample-induced blur in microscopy.

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Like the combined luminosity of a hundred trillion (1014) Suns.

What is the luminosity of the most powerful quasars?

A new quasar with a 12 billion solar mass central black hole and 430 trillion solar luminosity was found by the Peking University Department of Astronomy at a distance of 12.8 billion light years from the Earth.

This quasar, driven by the most massive black hole then known to exist, is the most brilliant one to be found in the early Universe.

The finding of this quasar, designated SDSS J0100+2802, represents a significant advancement in our understanding of the evolution of quasars, the most potent cosmic phenomena, from their inception nine hundred million years after the Big Bang.

On February 26, 2015, the leading scientific publication Nature reported on this discovery.

Therefore, if quasars are at the distances most astronomers believe they are, then (for the most luminous ones) their luminosities must be 430 trillion light years.

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The capacitive resistance [tex]x_c[/tex] = 18956 ohms

as per given in the question,

a capacitor having a capacitance (c) is 140nf

the standard voltage of the ac circuit (v) is 120 volts

the frequency of the circuit (f) is 60 hertz

we need to find the capacitive resistance of the given circuit

The opposition offered by a capacitor to the flow of ac current in the ac circuit is known as capacitive resistance.

the formula to find capacitive resistance of the circuit is

[tex]x_c = \frac{1}{2\pi fc}[/tex]                                                        ----(1)

where

[tex]x_c[/tex] is the capacitive resistance

[tex]\pi[/tex] is a constant value 3.14

[tex]f[/tex] is the frequency

[tex]c[/tex] is the capacitance of the capacitor

[tex]c =140nf[/tex]  

[tex]f=60hz[/tex]

[tex]v=120\ volt[/tex]

substitute all the values in equation (1) we get

[tex]x_c = \frac{1}{2(3.14)(60)(140\times10^{-9}) }[/tex]

=> [tex]x_c = \frac{1}{6.28(60)(140\times10^{-9}) }[/tex]

=> [tex]x_c = \frac{1}{376.8(140\times10^{-9}) }[/tex]

=>[tex]x_c = 1.8956\times10^{4}[/tex]

=>[tex]x_c[/tex] = 18956 ohms

the capacitive resistance is 18956 ohms

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The capacitive resistance of the capacitor is 18947 ohms.

The capacitive resistance of a capacitor is given by the formula:

Xc = 1 / (2πfc)

where:

Xc is the capacitive resistance in ohms

π is a constant with the value of 3.14

f is the frequency in hertz

c is the capacitance in farads

In this case, the capacitance is 140 nf, which is equal to 140 * 10^-9 farads. The frequency is 60 hz.

Plugging these values into the formula, we get:

Xc = 1 / (2π * 60 * 140 * 10^-9)

= 18947 ohms

A 140 nf capacitor is used in a standard 120-volt ac circuit with a frequency of 60 hz. The capacitive resistance of the capacitor is given by the formula Xc = 1 / (2πfc). Plugging in the values for capacitance, frequency, and pi, we get Xc = 18947 ohms. Therefore, the capacitive resistance of the capacitor is 18947 ohms.

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Purchasing uses information from the  sales order plan to place purchase orders for raw materials with qualified suppliers.

The term purchasing has to do with the process of the buying of goods and services. The process of purchasing a very essential part of the business venture such that in some areas, an entire department may be devoted to the coordination of the processes involved in purchasing in the establishment.

A purchasing manager may be given the task of seeing to the coordination of the entirety of all the purchasing activities.

Thus, we could see that purchasing is a chain of activities that is based on the principles of demand and supply.

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The light from the left slit travels to the m at 500 nm slower than the light from the right slit. Two tiny openings spaced 0.12 mm apart are illuminated by 550 nm light, creating an interference pattern.

Interference patterns: what are they?

Thomas Young demonstrated that when light from two sources collides while moving through the same medium, an interference pattern is created. It is crucial to go back a few steps and examine the interference of water waves that originate from two sites in order to comprehend Young's experiment.

What kinds of interference patterns are there?

The light reflected from an oil coating floating on water is one of the best illustrations of interference. Another illustration is the thin soap bubble film (illustrated in Figure 1),

Briefing:

r = d*sin(theta)

r = 1m *sin(5.5*10^-7)

r = 9.599^-9m r = 9.6nm

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While measuring the weight of 48 turtles' weights with a mean weight of 34 ounces and a population standard deviation of 4.4 ounces, the maximal margin of error associated with a 90% confidence interval for the true population mean turtle weight is +- 0.634

Given:

The sample size or the number of total turtles, [tex]n=48[/tex]

The mean of the weights of the sample of 48 turtles, [tex]x=34[/tex]

The population standard deviation is the diffference between each value of the sample and the sample mean.

Population standard deviation[tex]=4.4[/tex]

Confidence interval= 90% [tex]=0.90[/tex]

Significance level[tex]= 1- confidence[/tex][tex]=1-0.90=0.10[/tex]

The critical value of a statistical distribution is the value of the test statistic which defines the upper and lower bounds of a confidence interval, or which defines the threshold of statistical significance in a statistical test.

The critical value, [tex]z=\frac{n-x}{deviation} =\frac{48-34}{4.4} =3.181[/tex]

A Z-score is a numerical measurement that describes a value's relationship to the mean of a group of values. Z-score is measured in terms of standard deviations from the mean. If a Z-score is 0, it indicates that the data point's score is identical to the mean score.

The closest z value from the z table corresponding to critical value =3.181 is [tex]z=0.99926[/tex]

The margin of error, [tex]E=z*\frac{deviation }{\sqrt{sample size} } =0.99926*\frac{4.4}{\sqrt{48} } =0.634[/tex]

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in y axis the the mass again come to a stop.

mass is a very large amount od number or something.

Will be n, - l, cos of theta applying the derivation of energy, hello, ikinetic, energy potential energy as

t kinetic energy potential energy, kinetic energy will be half m square potential. Energy kinetic energy at 0, and it is m g h, so velocity at will get root. 2 g h and b have calculated so 2 g l, 1 minus cos of theta sufficient of force along y axis must be 0, so t minus mg equal to m b square by l, so t will be m into g plus 2 g l substituting the Value of veracity, here 1 minus cos theta upon l. So finally, it could be written as n j into 3 minus 2 cos. Cetothis is the answer of part. A now part b with the decrease flit tension will remain constant because it is not depending on length of stringks for watching.

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A force of 10N was applied to the ball by the bowler.

A force is any interaction that, when unopposed, will change the motion of an object. It can be a push or a pull. What are the Effects of Force?

Typically, motion can either be described as:

It is determined by the formula; F = ma

Where m = mass

a = acceleration

From the question;

m = 5kg

a = 2m/s2

F = ma

F = 5 x 2

F = 10N

Hence, the bowler applied a force of 10N to the ball.

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The light-collecting surface of the 140-meter telescope will be 25 times larger than that of the Keck II telescope, which stands at 10 metres. A telescope is a tool for observing far-off objects through their radiation.

electromagnetic radiation's absorption or reflection. originally exclusively referring to an optical device that observes far-off objects using lenses, curved mirrors, or a combination of the two. A telescope's capacity to focus is referred to as its " light-collecting function." a telescope's capacity to simultaneously focus on several objects.

A 140-meter telescope's 50-meter light-collecting diameter.

A 10-meter telescope has a 10-meter diameter for light gathering.

Pi*(D^2)/4 is the formula for a telescope's light-collecting area.

Light collecting area ratio = (pi*(140^2)/4)/pi*(100)/4 = 25

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Compressional stress causes synclines and anticlines to develop. Thus, the correct option is A.

When previously horizontal strata are folded upward and the two limbs diverge from the surface, anticlines emerge.

Instead of shattering to create faults or joints, when rocks deform in a ductile way, they may bend or fold, and the resulting structures are known as folds. Folds are brought about by long-lasting compressional or shear stresses. These folds result from typically brittle rocks acting ductility under conditions of low strain rate and/or high temperature.

According to the definition

We get to know that

Compressional stress causes synclines and anticlines to develop. Thus, the correct option is A.

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The Maximum Height attained by speed of child is 1.2005m.

let's calculate the distance between the child's motion's lowest and highest points.

Acceleration due to gravity will be taken as 10 approximately.

[tex]H=h+ℎ\\\\ℎ=0.70 m\\\\h=\frac{V^2}{2g} \\\\h=\frac{4.9^2}{20} \\\\h=1.2005m[/tex]

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The average voltage induced in the coil is 97.00 V.

What is voltage?
The difference throughout electric potential between two points is known as voltage, also referred to as electric pressure, electric tension, as well as (electric) potential difference. It translates into the amount of work required to move a charge from one point between two points in a static electric field. Volt is the name of the voltage-derived unit in the International System of Units. 166 Joules per coulomb, or 1 volt equals 1 joule (of work) per 1 coulomb, is how work per unit of charge is expressed in SI units (of charge). Power and current were used in the previous SI definition for the volt, the quantum Hall as well as Josephson effect was introduced in 1990, and as of 2019 fundamental physical values obtained have been used in the definition of any and all SI units as well as derived units.

The average voltage induced in the coil can be calculated using Faraday's Law:
V = (B*A*N*Δt)/t
V = (0.11 T *(7.9 cm)^2 * 2,786 turns * 0.5 s)/0.5 s
V = 97.0 V
Therefore, the average voltage induced in the coil is 97.00 V.

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The distance of do is 83.34 cm for the magnification -0.40.

Magnification is the process of increasing apparent size.

M = magnification = - 0.40

l = distance between the eyepiece and the objective lens

f₀ = focal length of the objective

f₁ = focal length of the eyepiece

the focal length of David's lens is: f = 50 cm.

Distance 'u' between the object is to be calculated

According to the formula;

u =f( 1/m -1)

⇒ u = 50(-1/0.40-1) = 83.34 cm.

Hence, distance do is 83.34 cm.

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The moment arm of the second force is 0.29 m.

What is moment?
A moment is just a mathematical expression used in physics that involves the product of a physical quantity and a distance. Moments refer to the physical quantities that are dispersed from the reference point and are typically defined with regard to a fixed reference point. The moment thus explains the position or arrangement of the quantity. For instance, the moment of force, also known as torque, is the result of the force acting on an object and the object's distance from of the reference point. In theory, a moment can be created by multiplying any physical quantity by a distance. Forces, masses, and electrically charged distributions are frequently used units.

The moment arm of the second force is the distance from the axis of rotation to the point at which the force is acting.
Since the two forces are in equilibrium, meaning that they have cancelled each other out, the distance from the axis of rotation to the point at which the second force is acting (the moment arm) must be equal to the distance from the axis of rotation to the point at which the first force is acting (0.29 m).
Thus, the moment arm of the second force is 0.29 m.

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