Question is attached below

Pressure of air in Engine nozzles is  762,67 Kpa

Engine having difference nozzles

air enter at 25Kpa ,220k

v = 3080 km/hr = 855.55m/s

In combustion chamber

h2 + Q = h3

Cp T2 + Q = h3

CpT2 + Q = CpT3

T3 = T2 + 900/1.005 = T2 + 895.52 = 1479.63K

Also in difference

P2/p1 = [tex](T2/T1)^{r/r-1}[/tex] = (584.168/220)^1.4/0.4 = 25 × (2.6533)^1.4/0.4

P2 = 762,67 Kpa

There are many other types of energy that are available, such as potential energy, heat energy, chemical energy, electric potential, nuclear energy, and potential energy from the Earth's gravitational field, which is used to generate hydroelectric power (from nuclear fission or nuclear fusion). Heat engines play a specific role in many of these processes since heat is frequently produced as an intermediate energy type. Some naturally occurring mechanisms, like atmospheric convection cells, transform environmental heat into motion (e.g. in the form of rising air currents). While it also plays a function in many industrial processes like cutting, grinding, crushing, and mixing, mechanical energy is particularly significant in the transportation sector.

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The diameter of the objective lens or mirror characteristics of an astronomical telescope is the most important for determining the angular resolution .

The aperture of a telescope, also known as the objective or light-gathering lens or mirror, is its most crucial feature. The telescope's specifications can be found on the box, at the front of the tube, or close to the focuser.

In order to acquire a clearer view of the planets, stars, and galaxies that we are researching, we launch telescopes into space in order to avoid the Earth's atmosphere. Our atmosphere functions as a shield, allowing some light to pass through but blocking others.

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The net force on the block is at its maximum magnitude and pointing in the positive x direction when the block is at the extreme right end of its oscillation, where the displacement of the block is equal to the amplitude a.

Oscillation is a repeating motion between two or more points. It can refer to the motion of a physical object, a sound wave, an electromagnetic wave, or any other type of wave. Oscillation is a fundamental concept in many branches of physics, such as mechanical, electrical, and acoustics. Examples of oscillation include a swinging pendulum, a vibrating guitar string, the sound of a siren, and the regular vibrations of an AC electrical current.

At this point, the spring is stretched to its maximum and is exerting a force in the positive x direction on the block. This is the only position at which the net force on the block is at its maximum magnitude and pointing in the positive x direction.

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The maximum theoretical efficiency possible for a heat engine operating between a reservoir in which ice and water coexist is 27 %.

Heat engines often operate at around 30% to 50% efficiency, due to practical limitations. It is impossible for heat engines to achieve 100% thermal efficiency, according to the Second law of thermodynamics.

The Carnot cycle is a theoretical power cycle and is used for showing the theoretical maximum of a heat engine.

The energy consumption, theoretical value is the value when computers operate following the power saving settings on individual computers and the sample settings.

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The two primary absorption bands are connected to changes in the energy levels of electrons. In comparison to the band in the region corresponding to longer wavelengths, the band in the shorter wavelength region has a lower absorption.

Plants have a pigment called beta-carotene that gives them colour. The Latin term for carrot is source of the name beta-carotene. Fruits and vegetables that are yellow or orange derive vibrant colors from it. Additionally, the foods like margarine are colored with beta-carotene.

Beta-carotene transforms into vitamin A in the body (retinol). For clear eyesight and healthy eyes, a robust immune system, and healthy skin and mucous membranes, we require vitamin A. Vitamin A in large levels can be poisonous, but your body only makes as much of the vitamin from beta-carotene as is required. In light of this, beta-carotene is regarded as a secure source of vitamin A.

For smokers, meanwhile, consuming too much beta-carotene can be harmful. It is safe to consume large doses of vitamin A or beta-carotene through food rather than supplements.

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Option D-Refractive index is inversely proportional to wavelength.

Refractive index, often known as the index of refraction, is a measurement of the way a light beam bends when it travels through different media. The refractive index n is determined by dividing the sine of the angle of incidence by the sine of the angle of refraction, i.e., n = sin I / sin r, assuming that I is the angle of incidence of a ray in vacuum (angle between the incoming ray and the normal, which is perpendicular to the surface of a medium). Additionally, the refractive index is determined by dividing the speed of a specific wavelength of light in vacuum, c, by that same wavelength's speed, v.

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A satellite with mass M travels at a constant velocity v in a circle with radius R. Then its centripetal acceleration is constant, its tangential acceleration is zero, and its angular speed is v/R.

The earth launches satellites into orbit around it. To place the satellite in the desired orbit, many rockets are launched from the satellite at the appropriate time. The satellite will continue to move in an orbit under the pull of the earth's gravity once it has been placed in the desired orbit and is moving at the appropriate speed for that orbit.This satellite has potential energy because it is in a gravitational field and has kinetic energy since it circles around the planet. A satellite's kinetic energy is equal to half its gravitational energy, as shown by, Gravitational energy has a value of GMm/r, hence kinetic energy has a value of GMm/2r and is positive.

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Sphere, disk, hoop due to Torque.

Torque = I α if a man and radius is same α will be more for lesser moment of theta.

Is = 2/5 MR², Iloop = MR², Id = 1/2MR²

The order is

Is < Id< Ih

Sphere, disk, hoop.

rFsin() is the definition of torque. Or, to put it another way, torque is the cross product of the distance vector (the distance between the pivot point and the point at which force is applied) and the force vector, where 'a' is the angle between r and F. The torque is a pseudovector in three dimensions and is determined for point particles by the cross product of the force vector and the position vector (also known as the distance vector). The force applied, the lever arm vector[2] connecting the torque measurement point to the force application point, and the angle between the force and lever arm vectors all play a role in determining how much torque a rigid body can generate.

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Answer: I think it's The Baltic Sea and The Black Sea

Answer:

2.5 [kg].

Explanation:

1. initial formula is:

E=m*g*h, where E - energy described in the condition, m - required mass, h - height and g≈10 [N/kg];

2. according to the formula above:

[tex]m=\frac{E}{gh}; \ = > \ m=\frac{5000}{200*10}=2.5[kg].[/tex]

The magnitude of your weight on the surface of Jupiter is 2,605.2 N.

The magnitude of your mass which does not change on both Earth and Jupiter is calculated from your weight on Earth by applying Newton's second law of motion as follows;

W = mg

where;

m = W / g

m = 982 N / ( 9.8 m/s²)

m = 100.2 kg

The magnitude of your weight on the surface of Jupiter is calculated as follows;

W = mg

where;

W = 100.2 kg x 26 m/s²

W = 2,605.2 N

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A string that is under 55.0 N of tension has linear density 4.20 g/m. The maximum velocity of a particle on the string is 114.4 m/s

The speed of a transverse wave on a string under tension is given by:

v = sqrt (T/μ)

Where:

v = speed or velocity of the wave

T = tension on the string

μ = density per unit length

In the given problem:

T = 55 N

μ = = 4.2 g/m = 4.2 x 10⁻³ kg/m

Plug these parameters into the formula:

v = sqrt (T/μ)

  = sqrt (55 / 4.2 x 10⁻³ ) = 114.4 m/s

The maximum velocity of a particle on the string is equal to the velocity of the transverse wave, that is 114.4 m/s

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The Kinematics of Spring Motion is 73730 N

Kinematics of Spring Motion:

An elastic spring abides by Hooke's law, which states that the force needed to stretch or compress a spring is inversely proportional to the length of the spring in question. Simple harmonic motion is performed by a mass that is connected to a spring.

According to Hooke's law, compression in spring is related to applied force as following.

F applied = -kx

Where,

k = force constant

x = compression in spring

Step 1)First, we will determine force constant of spring

k = 730/ (0.40*10-3)

k = 1825000 N/m

Step 2)We will determine compression in bathroom scale when man jumps on the scale.

m g (H+x) = 0.5 k x2

730 * (2.0 + x) = 0.5 * 1825000 * x2

0.0008 * (2.0 + x) = x2

x2 - 0.0008 x - 0.0016 = 0

x = 0.04040 m,   -0.03(rejected since negative)

Hence,

F = k x = 1825000 * 0.04040 = 73730 N

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Lorenz curve is the curve that plots graphically the distribution of income. Therefore, the correct statement is statement 3.

The Lorenz curve depicts the distribution of income (or wealth) within an economy. Max O. Lorenz created it in 1905 to symbolize the distribution of income. The Lorenz curve displays the total percentage of income earned by various demographic groups.

The graph shows cumulative income or wealth on the vertical axis and percentiles of the population according to income or wealth on the horizontal axis. Lorenz curves and the statistics derived from them are frequently utilized to assess inequality within a population.

An empirical measurement of the wealth or income distribution within a population, based on information from tax returns, which detail income for a significant section of the people, is the common starting point for a Lorenz curve.

Therefore, statement 3 is correct.

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By using the following standard normal density curve, 0.9832 i.e. option (A) is the probability that a random variable zz less than 2.122.12.

The probability that a random variable z is less than 2.12 using a standard normal density curve, you need to find the area under the curve to the left of 2.12. A standard normal density curve is a bell-shaped curve that is symmetrical about the mean (which is 0 for a standard normal curve). The curve is defined by the equation:

= f(z)

= 1/(sqrt(2π)) x e^(-z^2/2)

where z is the random variable and f(z) is the probability density function.

The area under the curve to the left of 2.12 is the sum of the probabilities of all the values of z that are less than 2.12. This area can be approximated using the standard normal table, which gives the probability of values of z corresponding to certain standard deviations from the mean. Looking up the value of 2.12 in the standard normal table, you will find that it corresponds to a probability of approximately 0.9832. Therefore, the probability that a random variable z is less than 2.12 is approximately 0.9832, and the correct answer is "0.9832".

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If a monkey floating in outer space throws his hat away, the hat and the monkey will both move away from each other, but at different speeds.

Assuming that the floating monkey is in deep space away from any celestial bodies with a strong gravitational force and the hat is outside of the spacesuit and less massive than the monkey, then the hat and the monkey both will move away from each other, but at  different speeds. On the basis of law of attraction, when the monkey threw the hat forward, the hat would push the monkey back.

As the monkey is heavier compared to the hat, its acceleration would be smaller than that of a hat which is less massive.

Due to this, the monkey moves back slower compared to that of a hat which moves forward at a greater speed.

They cannot move away from each other at the same speeds unless the mass of both the bodies is same. There is no friction in space so, there is nothing that would slow down their motion or let them stop unless they collide with other bodies in space.

The question is incomplete. The missing options are A) move away from each other, but at different speeds B) move away from each other at same speed C) move a short distance and then slow down D) move a short distance and then go faster E) come to a stop after few minutes

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The function of θ in term of s is θ = arctan(s/75).

The value of θ is s is 900 and 1500 are 85,24 degrees and 87.14 degrees respectively.

Find the diagram attached. From the diagram, we are given the following:

Opposite = s

Adjacent = 75

According to SOH CAH TOA identity;

tanθ = opp/adj

tanθ = s/75

θ = arctan(s/75)

Hence the function of θ in term of s is θ = arctan(s/75)

b) If s=900meters

θ = arctan(900/75)

θ = 85,24 degrees

If s = 1500

θ = arctan(1500/75)

θ = 87.14 degres

Hence the value of θ is s is 900 and 1500 are 85,24 degrees and 87.14 degrees respectively.

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The change in internal energy of gas is Delta U = 1.337E+0 moles * (5/2)R * (900 K - Tc) Where Tc is the temperature of the gas at point c. the heat added to the gas in going directly from a to c is Q = 1.337E+0 moles * (5/2)R * (900 K - Tc).

To find the change in internal energy of an ideal gas during a process, you can use the equation: Delta U = n * Cv * Delta T Where Delta U is the change in internal energy, n is the number of moles of the gas, Cv is the molar specific heat capacity at constant volume, and Delta T is the change in temperature. For a diatomic gas, the molar specific heat capacity at constant volume is Cv = (5/2)R, where R is the ideal gas constant. Plugging in the given values, you get: Delta U = 1.337E+0 moles * (5/2)R * (900 K - Tc). To find the heat added to the gas in going directly from a to c, you can use the equation: Q = Delta U + Delta (PV) Where Q is the heat added to the gas, Delta U is the change in internal energy, and Delta (PV) is the change in the product of pressure and volume. For an ideal gas, the change in internal energy is equal to the heat added, so you can simply use the equation: Q = Delta U Plugging in the values, you get: Q = 1.337E+0 moles * (5/2)R * (900 K - Tc).

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The speakers produce the second destructive interference at the distance of 0.704 m.

Let us take the speed of sound v as 340 m/s.

The frequency f of sound is given as 725 Hz.

The wavelength is calculated to be,

λ = v / f = 340/ 725 = 0.469 m

For destructive interference, distance is given as,

d = (2k - 1) * λ/2

For second destructive interference, put K = 2 in the above formula,

d = (4 - 1) * 0.469/2 = 0.704 m

Thus, the speakers produce the second interference at the distance of 0.704 m.

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Angular speed , wi = 91 rpm

wi = 91 * 2pi/60 rad/s

wi = 9.11 rad/s

Frictional force , f = 0.20 * 16 = 3.2 N

part a) let the angular acceleration is a

Using the second law of motion

0.50 * 85 * 0.31^2 * a = 3.2 * 0.31

solving for a

a = 0.242 rad/s^2

The angular acceleration is 0.242 rad/s^2

b) Let the angle is theta

theta = 9.11^2/(2 * 0.242)

theta = 170 radian = 27.2 turns

The number of turns is 27.2

Angular velocity is the speed of an object in rotational motion. The distance traveled is denoted by θ and is measured in radians. Duration is measured in seconds. Angular velocity is therefore expressed in radians/second, or rad/s. Angular velocity is measured in radians per unit of time because it is the rate at which the central angle swept by an object changes as it moves around a circle.

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The maximum weight that has to be lifted is 3922 N. and the diameter of the pipe under the platform if the diameter is 37.

Platform is defined as a collection of technologies that serve as the foundation for the development of new applications, procedures, or technologies.  By facilitating transactions, a platform eventually makes this wealth generation possible.

A maximum weight of (3,471 + 451) g = 3922 N must be lifted. The other piston cannot be subjected to more than 100 N of force. The ratio of the two pistons' diameters needs to be sqrt (3922 / 106) = 37.

Thus, the maximum weight that has to be lifted is 3922 N. and the diameter of the pipe under the platform if the diameter is 37.

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The induced emf is equal to 0.025v. If the outward magnetic flux rises, the current must go counterclockwise. When the flux coupling with a conductor or coil changes, an electromotive force, or EMF.

There are two approaches to get this change in flux: by statically or dynamically inducing emf across a certain area. For instance, the magnetic flux density is lower if fewer magnetic lines cover a large region of cross section. Knowing the magnetic flux also enables us to make an educated guess about the magnitude of the magnetic field in a particular area. The surface integral of the normal component of the magnetic field is used to define the magnetic flux across a surface (B)

e = Pi*r^2(B2 - B1)/t

e = pi*81/4*0.50/130 *10

e = 0.025v

current must be clock wise

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The speed of propagation of the wave is approximately 140 meters per second.

The speed of a wave is determined by the properties of the medium through which it travels and the strength of the force that initiated the wave. In this case, the wave was initiated by an earthquake and is traveling through seawater. To find the speed of the wave, we can use the formula v = sqrt(g*d), where v is the speed of the wave, g is the acceleration due to gravity, and d is the average water depth. Using the given values of the density of seawater, the average water depth, and the acceleration due to gravity, we can calculate the speed of the wave to be approximately 140 meters per second. This means that the wave will travel at a speed of 140 meters per second through the seawater.

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The distance between the two points on a loudspeaker that initially emits a 110 Hz tone with a sound speed of 340 m/s = 18.54 m.

Traveling waves are waves that have a fixed amplitude. Meanwhile, a stationary wave is a wave whose amplitude changes at every point.

The phase difference is the difference in the phases of the waves or stages of the waves. Mathematically, the phase difference is formulated as follows:

Δφ = Δx/λ

We have,

The frequency =  (110 Hz) ⇒ f

The speed of sound  = 340 m/s ⇒ v

The phase difference between two points =  6.0 rad ⇒ Δφ

Determine the wavelength first,

λ = v/f

= 340/110

= 3.09 m

So, the distance between these two points:

Δφ = Δx/λ

(6.0) = Δx/3.09

Δx = 18.54 m

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The 5 galaxies with redshifts less than 0.001 are Ages, cosmos , hypernova , Gama , VVDS and greater than 0.001 are Devils, achne, simar , vipers, MGC, 2SLAQ,QCD, SAPM,AARS and ESP.

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As he rides in the same direction of rotation of station, the normal force increases and as he rides in opposite direction of motion, normal force decreases.

The gravitational force has not disappeared in space station, but astronauts feel weightlessness. This is because of microgravity. It happens when an object is falling freely.

Both the astronauts and the ISS are orbiting around the Earth. This means, they are in a state of freefall towards the Earth.

On the ISS therefore, the acceleration due to gravity is not zero. In fact the gravitational field inside the ISS is almost as large as that they are exposed to on the Earth.

As there is presence of gravity, there is also presence of opposite normal force. This force increases when rotation along with earth in same direction and it decreases when rotating in opposite direction.

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The  number of theoretical plates are 1757.

What is partition coefficients  ?

The ratio of a compound's equilibrium concentrations in a combination of two immiscible liquids is known as a partition coefficient (P) or distribution coefficient (D). This ratio so compares the solubilities of the solute in these two liquids.

What is resolution  ?

Resolution of the vector is the process of dissolving a vector into its parts. The components will result in the same vector when combined together vectorially. In general, we divide a vector into three parts: the x-component, the y-component, and the z-component. y-component is the name given to a component that runs along the y-axis.

The ratio of the partition coefficients  of the two components ( ∝)

K ₂/ K₁ = 0.18/ 0.15= 1.2

The relationship between no. of plates and resolution is ask follows

R= [tex]\sqrt{N}[/tex]/ 4 (∝- 1/∝) (K₂/K₂+1)

Calculate K₂ by using K₂ and Vsm as follows

K₂= K₂ ( Vs/ Vm )

18*1/3= 6

calculate the number of plates ( N) as follows

R= [tex]\sqrt{N}[/tex]/4   (∝- 1/∝)  (K₂/K₂+1)

[tex]\sqrt{N}[/tex]= R*4/(∝- 1/∝)  (K₂/K₂+1)

N = ( r*4/ (∝- 1/∝)  (K₂/K₂+1))²= [1.5*4/ ( 1.2-1/ 1.2) ( 6/ 6+1)]²= [6/(0.167) (0.857)]² = 1757

Therefore, number of theoretical plates are 1757.

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If the speed of a particle is doubled, its momentum will also be doubled, because momentum is directly proportional to the speed of the particle. In other words, the momentum of a particle is equal to its mass times its velocity, so if the velocity is doubled, the momentum will also be doubled.

The kinetic energy of a particle is also directly proportional to the square of its speed, so if the speed is doubled, the kinetic energy will increase by a factor of four. This can be expressed mathematically as:

Kinetic energy = (1/2) * mass * velocity^2

If the velocity of a particle is doubled, the kinetic energy will increase by a factor of four, because velocity^2 will increase by a factor of four.

So to summarize, if the speed of a particle is doubled, its momentum will be doubled, and its kinetic energy will increase by a factor of four.

The total resistive force is proportional to the velocity the drag coefficient is a 0.1296

The drag coefficient Cd is the same as the drag D divided through the quantity: density r instances half the speed V squared instances the reference location A. The drag coefficient then expresses the ratio of the drag force to the pressure produced with the aid of the pressure times the place.

Calculation:-

P = VF

we find P = αv²

v = √p/α

  = √ 130000 / 100

  = 36 m/s

a = v²/f

=  36 × 36/ 10000

= 0.1296

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The deepest portion of the Sun that we may directly witness is the photosphere. It extends roughly 250 miles (400 km) above the solar disk's visible surface at its core.

The distances from the inner layers, which are measured in terms of distance from the sun's core, and the outer layers, which are measured in terms of distance from the sun's surface, are shown on this diagram as approximations for each layer. The Core, Radiative Zone, and Convection Zone are the inner layers. The Photosphere, Chromosphere, Transition Region, and Corona make up the outer layers.

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