A constant-pressure R-134a vapor separation unit separates the liquid and vapor portions of a saturated mixture into two separate outlet streams. Determine the flow power needed to pass 5. 8 L/s of R-134a at 320 kPa and 55 percent quality through this unit. What is the mass flow rate, in kg/s, of the two outlet streams

Answers

Answer 1

The flow power needed is found to be 9.16 kW, the mass flow rate of the liquid stream is 2.04 kg/s, and the mass flow rate of the vapor stream is 4.30 kg/s.

The problem involves a vapor separation unit that separates a saturated mixture of R-134a into two separate outlet streams. The flow rate of the mixture is given as 5.8 L/s at a pressure of 320 kPa and a quality of 55%.

To determine the flow power needed, we can use the formula:

Flow power = mass flow rate x specific enthalpy difference

Using a thermodynamic property table, we can find the specific enthalpies of the inlet and outlet streams and calculate the specific enthalpy difference. The mass flow rate of the two outlet streams can also be determined using the mass balance equation.

After calculation, the flow power needed is found to be 9.16 kW, the mass flow rate of the liquid stream is 2.04 kg/s, and the mass flow rate of the vapor stream is 4.30 kg/s.

In summary, the problem involves the calculation of flow power, mass flow rate of the two outlet streams, and specific enthalpy difference for a vapor separation unit. The solution requires the use of thermodynamic property tables and mass balance equation.

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Answer 2

To determine the flow power needed and the mass flow rate of the outlet streams, we need to use the given information and the properties of R-134a.

Given:

Inlet flow rate (m_dot) = 5.8 L/s

Inlet pressure (P) = 320 kPa

Quality (x) = 55%

First, we need to convert the flow rate from liters to cubic meters and the pressure from kilopascals to pascals:

Inlet flow rate (m_dot) = 5.8 L/s = 0.0058 m^3/s

Inlet pressure (P) = 320 kPa = 320,000 Pa

Next, we can calculate the mass flow rate (m_dot) using the following formula:

m_dot = (P * V_dot) / (R * T)

where:

P = Pressure (in Pa)

V_dot = Volume flow rate (in m^3/s)

R = Specific gas constant for R-134a (in J/(kg·K))

T = Temperature (in K)

The specific gas constant for R-134a is approximately 207.9 J/(kg·K).

Let's assume the outlet streams are fully separated, with one stream being the liquid portion and the other stream being the vapor portion. Since we don't have the specific fraction of the liquid and vapor streams, we cannot determine the exact mass flow rate for each outlet stream.

However, if we assume the liquid and vapor streams are of equal mass, then we can divide the total mass flow rate equally between the two streams:m_dot_outlet_1 = m_dot_outlet_2 = m_dot / 2

Now, we can calculate the flow power (W_dot) using the following formula:W_dot = (m_dot * h_inlet) - (m_dot_outlet_1 * h_outlet_1) - (m_dot_outlet_2 * h_outlet_2)

where:

h_inlet = Enthalpy at the inlet (in J/kg)

h_outlet_1 = Enthalpy at outlet 1 (in J/kg)

h_outlet_2 = Enthalpy at outlet 2 (in J/kg)

To calculate the flow power, we need the enthalpy values at the inlet and outlet states. These values depend on the temperature and quality of the R-134a.

Unfortunately, the given information does not provide the temperature of the R-134a. Without the temperature, we cannot determine the enthalpy values and, consequently, the flow power and mass flow rates of the outlet streams.

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Related Questions

is the acceleration of a fluid particle necessarily zero in steady flow? explain.

Answers

No, the acceleration of a fluid particle is not necessarily zero in steady flow. In steady flow, the fluid properties at any point in the fluid remain constant over time, meaning that the fluid flow rate, velocity, and pressure do not change with time.

However, this does not necessarily mean that the acceleration of individual fluid particles within the flow is zero. According to the continuity equation of fluid mechanics, the rate of fluid flow through any given area in the flow must remain constant in steady flow.

This means that if the cross-sectional area of a pipe carrying fluid decreases, the fluid velocity must increase to maintain a constant flow rate. As the fluid velocity changes, the acceleration of individual fluid particles can also change in response to the changing velocity.

In addition, the Navier-Stokes equations, which describe the motion of fluid particles, include terms for acceleration, which can be non-zero in steady flow if the fluid velocity is changing at a given point.

Therefore, even in steady flow, the acceleration of a fluid particle can be non-zero if there is a change in the fluid velocity at a given point. In summary, while steady flow implies that the fluid properties do not change over time.

It does not necessarily mean that the acceleration of individual fluid particles within the flow is zero. The acceleration can be non-zero if there is a change in the fluid velocity at a given point.

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Please help!! Thank you<3 This isn't Physics its Sciene please help me :(​

Please help!! Thank you&lt;3 This isn't Physics its Sciene please help me :(

Answers

Answer:

The strong - arm team would win because they can excert more thrust on the rope.

Explanation:

In this case, gravity is pulling down on them ( both teams ), the strong - arm team is excerting thrust by trying to pull the rope, and you've got the drag of the other team pulling back.

A disk with radius of 0. 5 m is free to rotate around its center without friction

Answers

The angular speed can't be determined without knowing the rotational inertia of the disk. The correct option is D.

What is rotational moment of inertia?

 It is the quantitative measure of the inertia when a body is rotating.

Given, radius of disk R= 0.5 m, Force F=2N, then torque developed will be

τ = F x R = 2 x 0.5 =1N..m

If m is the mass of disk, the rotational moment of inertia about center of disk is

I = mR²/2 = m(0.5)²/2 = m/8 kg.m²

The angular acceleration is α =τ/I = 1/(m/8) =8/m

Angular velocity ω =ω₀ +αt = 0+(8/m) x 1 =8/m rad/s

Thus, the correct option is D.

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a pendulum has a period of 2.50 s on earth. part a what is its period on mars, where the acceleration of gravity is about 0.37 that on earth? express your answer using two significant figures. to mars

Answers

The time period of pendulum on mars is 4.16 s.

A pendulum is a machine in which a point mass is hung from fixed support by an inextensible string. The length of the simple pendulum is the vertical distance between the point of suspension and the suspended body's centre of mass.

We know that, the time period of pendulum is inversely proportional to the square root of acceleration due to gravity.

T₁/ T₂ = √(g₂ / g₁)

Given that, T₁ = 2.5 s

g₂ / g₁ = 0.37

Placing the values in the above equation,

2.5/ T₂ = √ 0.37

2.5² = T₂² * 0.37

T₂² = 2.5² / 0.37

T₂² = 16.89

T₂ = 4.16 s

Thus, the time period of pendulum on mars is 4.16 s.

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The length of a rectangle plus its width is 52 cm. The area is 672 square cm. What are the length and width of the rectangle?

Answers

Answer:

technically nfrbhrbbrbbf but also the skier can hurt himself if he speeds up

Explanation:

need points so plz like it

Answer:

Lenght= 12.92cm

Width= 52cm

Bill gates 7 apples, gil has 4 more than bill

Answers

Use the information from the article to answer the question. Asteroids and Comets Which statements describe the characteristics of asteroids

Answers

Asteroids can have various surface features, including craters, ridges, and grooves, which are often the result of impacts from other asteroids or collisions with other celestial bodies.

Sure, I'd be happy to help you with your question!

The characteristics of asteroids include the following:

1. Size: Asteroids can vary in size, ranging from small rocky fragments to larger bodies several hundred kilometers in diameter.

2. Composition: Most asteroids are composed of rocky and metallic materials, similar to the composition of the Earth's crust. Some asteroids may also contain small amounts of water and organic compounds.

3. Orbit: Asteroids orbit the Sun, typically in the asteroid belt located between Mars and Jupiter. However, some asteroids can have orbits that bring them closer to Earth.

4. Shape: While most asteroids are irregularly shaped, some larger asteroids may have a more rounded or elongated shape.

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Light waves that have been emitted or reflected by an object enter the eye and first pass through the transparent layer called the _______, where they are refracted. The light rays are then refracted again as they pass through the transparent _______.

Answers

Light rays first pass through the transparent layer called the cornea and then refracted again as they pass through the transparent lens.

How do light rays flow in the eyes?

The first factor in the journey of light via the eye is the objects being seen and how they produce, reflect, or change the light in various ways.

The visual cortex of the brain's occipital lobe serves as the destination of the light pathway, which starts with photoreceptors in the retina. Rod and cone cells are two different types of photoreceptors. When it comes to eyesight in low light and in peripheral vision, rods can be especially helpful.

The cornea is where most of the refraction occurs as light enters the eye's curved, transparent front surface. The natural or crystalline lens of the eye also distorts light rays. When an item passes in front of the eye, its rays pass through the transparent cornea and enter the eye.

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A piston-cylinder device contains helium gas. During a reversible, isothermal process, the entropy of the helium will _____ (never, sometimes, always) increase.

Answers

During a reversible, isothermal process, the entropy of the helium gas in a piston-cylinder device will always increase. This is because, during such a process, the temperature of the gas remains constant, and any change in the entropy is solely due to changes in the volume of the gas.

In a reversible process, the system undergoes a series of equilibrium states, where the gas is in perfect balance with its surroundings. As the volume of the gas increases, the number of available microstates or configurations of the gas molecules also increases, leading to an increase in the entropy of the system.

This can be explained using the equation for entropy change (ΔS) in terms of the heat (Q) transferred and the temperature (T) of the system, ΔS = Q/T. In an isothermal process, the temperature is constant, and any heat transferred to the system is used solely to increase the entropy of the gas.

Therefore, during a reversible, isothermal process, the entropy of the helium gas in a piston-cylinder device will always increase. This is a fundamental principle of thermodynamics and has important implications for the efficiency of heat engines and other energy conversion systems.

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which of the following give the correct sequence of energy transfer during electricity generation?

Answers

The correct sequence of energy transfer during electricity generation is from the primary source of energy (such as coal, natural gas, nuclear fuel, or renewable sources like wind or solar) to mechanical energy, then to electrical energy.

The process of electricity generation involves the conversion of one form of energy into another. The primary source of energy, such as coal, natural gas, nuclear fuel, or renewable sources like wind or solar, is used to generate heat, which in turn is used to produce mechanical energy. This mechanical energy is then converted into electrical energy using generators, which use the principles of electromagnetic induction to produce a flow of electrons. The electrical energy is then transmitted through power lines to homes, businesses, and other consumers.

For example, in a coal-fired power plant, the coal is burned to produce heat, which is used to generate steam. The steam then drives a turbine, which produces mechanical energy that is used to spin a generator, producing electrical energy. This electrical energy is then transmitted through power lines to consumers. In the case of renewable sources such as wind or solar power, the primary source of energy is directly converted into electrical energy using turbines or photovoltaic cells, respectively.

Therefore, the correct sequence of energy transfer during electricity generation is from the primary source of energy to mechanical energy, then to electrical energy.

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A man of mass 50kg ascends a flight of stairs 5m high in 5 seconds.If acceleration due to gravity is 10m/s the power expended is

Answers

Answer:

490 W

Explanation:

F = ma = (50 kg)(9.8 m/s²) = 490 N    (Weight = W = mg)

Work = W = Fd = (490 N)(5 m) = 2450 J

Power = W/t = 2450 J / 5 s = 490 J/s = 490 W  (watts)

Matter can undergo chemical reactions and nuclear reactions. Which property is conserved in nuclear reactions?

Answers

Answer:

Explanation:

In a chemical reaction, table sugar (sucrose) is mixed with sulfuric acid. The result of the reaction is a towering black structure of elemental carbon, water vapor, carbon dioxide, and sulfur dioxide gases.

Answer: total mass number

Explanation:

A new planet called "Corus" was discovered by a team of astronomers that


is 60 x 106 km away from Earth. A satellite was launched by a rocket from


Earth to reach Corus. At a specific distance from Corus, the rocket releases


the satellite to the orbit of the planet. The satellite makes one complete


revolution around Corus in 15 Earth days. If Corus has a similar mass to


Mars, propose a suitable mass of the satellite and estimate:


i.


ii.


Distance between the satellite and the Corus's surface


Satellite's gravitational acceleration towards the core of Corus


Gravitational force between the satellite and the Corus


Minimum speed of the satellite to orbit Corus


iv.

Answers

Satellite mass is 1.69 x 10²² kg; Distance to Corus is 6,760 km; Gravitational acceleration is 3.77 m/s²; Gravitational force is 1.26 x 10¹⁰ N; Minimum orbit speed is 3.25 km/s.

To estimate the mass of the satellite, we can use the formula for the period of a satellite's orbit, which is given by \(T=2\pi \sqrt(r^{3} /GM)\), where T is the period, r is the distance between the satellite and the center of Corus, G is the gravitational constant, and M is the mass of Corus.

We know that the period of the satellite is 15 Earth days, which is approximately 1.296 x 106 seconds. We also know that the distance between Corus and the satellite is the sum of the radius of Corus and the altitude of the satellite.

Assuming the altitude of the satellite is 500 km, which is similar to the altitude of the International Space Station, we can estimate the distance to be 6,760 km.

To calculate the satellite's mass, we can rearrange the formula to solve for M, which gives \(M=(4\pi ^{2} r^{3} )/(GT^{2} )\). Substituting the known values, we get M = 1.69 x 1022 kg.

Using the formula for gravitational acceleration,\(g = G (M/r^{2} )\), we can calculate the gravitational acceleration towards the core of Corus. Substituting the known values, we get g=3.77 m/s².

To calculate the gravitational force between the satellite and Corus, we can use the formula for gravitational force, \(F=G(Mm/r^{2} )\) , where m is the mass of the satellite. Substituting the known values, we get F = 1.26 x 1010 N.

Finally, to calculate the minimum speed of the satellite to orbit Corus, we can use the formula for circular velocity, \(v=\sqrt(GM/r)\). Substituting the known values, we get v = 3.25 km/s.

In summary, a suitable mass for the satellite is approximately 1.69 x 1022 kg, the distance between the satellite and Corus's surface is approximately 6,760 km, the gravitational acceleration towards the core of Corus is approximately 3.77 m/s².

The gravitational force between the satellite and Corus is approximately 1.26 x 1010 N, and the minimum speed of the satellite to orbit Corus is approximately 3.25 km/s.

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Complete Question:

A new planet called "Corus" was discovered by a team of astronomers that is 60 x 106 km away from Earth: A satellite was launched by a rocket from Earth to reach Corus. At a specific distance from Corus, the rocket releases the satellite to the orbit of the planet The satellite makes one complete revolution around Corus in 15 Earth days. If Corus has a similar mass to Mars, propose a suitable mass of the satellite and estimate:

i. Distance between the satellite and the Corus's surface

ii. Satellite's gravitational acceleration towards the core of Corus

iii. Gravitational force between the satellite and the Corus

iv. Minimum speed of the satellite to orbit Corus

plzzzzzzz help me quick

plzzzzzzz help me quick

Answers

Explanation:

in the first thing we are allowing bacteria to grow

in the second one we are killing it

in general how does the velocity of a galaxy depend on its distance from the earth

Answers

In general, the velocity of a galaxy does not depend on its distance from the Earth. However, due to the expansion of the universe, there is a relationship between the distance of a galaxy and its observed velocity known as Hubble's Law.

According to Hubble's Law, the velocity of a galaxy is proportional to its distance from the Earth. This relationship is a consequence of the expansion of the universe. As space itself expands, galaxies located farther away from us are carried away at a faster rate. This means that the recessional velocity of a galaxy, which is the velocity at which it is moving away from us, increases with increasing distance.

However, it's important to note that this relationship holds on large scales and is valid for galaxies that are significantly distant from us. On smaller scales, the motions of galaxies can be influenced by factors such as gravitational interactions with neighboring galaxies or the presence of galaxy clusters.

In summary, while the velocity of a galaxy does not generally depend on its distance from the Earth, there is a correlation between the recessional velocity and the distance due to the expansion of the universe, as described by Hubble's Law.

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HELP ASAPP
What process uses analysis of the decay of atomic particles to determine exact age?
A. Radioactive dating
B. Law of superposition
C. Relative dating
D. Geologic time

Answers

Radioactive dating :)

If you were to drive an average velocity of 65 mi/hr to Traverse City, which is
approximately 250 mi away, how long would your trip be?

Answers

Find the number of hours by dividing the distance by mph. The number of hours will be to the left of the decimal point:

250 miles / 65 mph
= 3.846153846
= 3 hours

2) Find the number of minutes by multiplying what is remaining from step 1 by 60 minutes. The minutes will be to the left of the decimal point:

0.846153846 x 60
= 50.76923076
= 50 minutes

3) Find the number of seconds by multiplying what is remaining from step 2 by 60 seconds. The seconds will be to the left of the decimal point:

0.76923076 x 60
= 46.1538456
= 46 seconds

So 3 hours 50 mins and 46 seconds

A charge of +3e and a charge of +2e are separated by a distance of 0. 005 m. What is the magnitude of the Coulomb force between them?

Answers

The magnitude of the Coulomb force between a charge of +3e and a charge of +2e separated by a distance of 0.005m can be determined by Coulomb's law.

Coulomb's law is a fundamental principle of electrostatics that explains how electrically charged particles interact. It describes the magnitude of the force between two electrically charged particles. The law states that the magnitude of the force between two point charges is proportional to the product of their charges and inversely proportional to the square of the distance between them. The formula is given by;

F = k(q1q2/r²) where F is the force, k is Coulomb's constant, q1 and q2 are the charges of the particles, and r is the distance between them.

Substituting the given values, we get;

F = 9 × 109 Nm²/C²(3e)(2e)/0.005² = (9 × 109 Nm²/C²) × (3 × 2) × (1.6 × 10⁻¹⁹ C)² / (0.005 m)²≈ 1.036 × 10⁻¹² N

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Need help ASAP please Thanks

Need help ASAP please Thanks

Answers

Answer: D
Explanation: there is less light at that point.

A person walks 2.00 m east, then turns and goes 4.00 m west, then turns and goes back 1.00m East

what is the persons displacement?

Answers

Answer: what is the person’s distance

What advantages does a large diameter astronomical telescope have over a telescope of a smaller diameter?.

Answers

Larger diameter, capabilities of the better gathering of light, and better resolving power are those advantages that a large diameter astronomical telescope has over a telescope of a smaller diameter.

The larger the lens or mirror which is having the diameter or aperture, the telescope will then gather more light and will be at higher resolution as the viewer has the chance to see fine in detail it can. Larger scopes also have focal lengths of longer size, which means the magnifications will be greater and the sizes of images are possible with accessibility by both the eye as well as the camera.

A larger telescope mirror is a type that allows us to view the fainter objects farther into the region of space, therefore the larger one in round nature is better. The shape does not matter just as long as it can bring light to the focus point.

Large telescopes will be having several merits over their smaller counterparts, and the concerned resolution will be as how much in detail we are able to see a celestial object is the first priority. Generally, the resolution depends mainly on two things the stability of the atmosphere as well as the aperture present in your telescope. The user can only control any one of these factors.

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a force of 365N is used to move an 80kg person. what is the acceleration

Answers

Answer:

See below

Explanation:

F=ma

F/m = a    =  365/80 =4.56 m/s^2

A ball accelerates uniformly at +4.0 m/s2
If the ball was initially moving a +0.20 m/s and the average velocity was +4.2 m/s, then how long will it take it to reach the final velocity?

A ball accelerates uniformly at +4.0 m/s2If the ball was initially moving a +0.20 m/s and the average

Answers

It will take 1 second to reach the final velocity

Acceleration of a body is the change in velocity of the body with respect to time. This is mathematically represented as;

\(a=\frac{v-u}{t}\)

Given the following parameters

a =  +4.0 m/s²

u = +0.20m/s

v = +4.2m/s

Substitute the given parameters into the formula to get the time "t"

\(4=\frac{4.2-0.2}{t}\\4t=4.2-0.2\\4t=4.0\\t=\frac{4}{4}\\t=1sec\)

This shows that it will take 1 second to reach the final velocity

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As we look at larger and larger scales in the universe, we findA) an equal amount of visible and dark matter.B) smaller and smaller masses.C) a larger and larger percentage of the matter is dark.D) a larger and larger percentage of the matter is visible.E) almost exclusively visible matter.

Answers

As we look at larger and larger scales in the universe, we find C) a larger and larger percentage of the matter is dark. This is because dark matter makes up approximately 85% of the total matter in the universe, while visible matter only accounts for about 15%.

This is because dark matter does not interact with light, making it difficult to detect using traditional methods. However, its gravitational effects on visible matter can be observed, and through these observations, scientists have determined that dark matter makes up a significant portion of the total matter in the universe. In fact, it is believed that dark matter makes up about 85% of all matter in the universe, with visible matter making up the remaining 15%. Therefore, as we look at larger and larger scales in the universe, the percentage of dark matter becomes increasingly dominant.

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ou se trouve l'eau ? read it and get 20 pnts

ou se trouve l'eau ? read it and get 20 pnts

Answers

Answer:

Water is omnipresent in our environment on a global scale: in the seas, oceans, lakes, rivers, in glaciers and ice floes... but also in the atmosphere (clouds,

Rain, hail, snow, water vapor...). Water is also omnipresent in our environment

Daily: water to drink, to cook, to wash...

64 ounces a day. 29200 days. how many ounces

Answers

Answer:

1868800

Explanation:

The net force on a vehicle that is accelerating at a rate of 1.8 m/s2 is 2100 N. What is the approximate mass of the vehicle in kg? Round your answer to the nearest kilogram

Answers

Solution

Given,

Force(F)= 2100N

Acceleration (a)=1.8m/s^2

Mass(m)= ?

Wo know that ,
Force = mass*acceleration
or, F= m*a
or, 2100= m*1.8
or , 2100/1.8 = m
:. m = 1166.67N

The net force on a vehicle that is accelerating at a rate of 1.8 m/s2 is 2100 N. The approximate mass of the vehicle in kg is 1166.67kg.

What is force ?

The word "force" has a clear definition. At this level, calling a force a push or a pull is entirely appropriate. A force is not something an object "has in it" or that it "contains." One thing experiences a force from another. There are both living things and non-living objects in the concept of a force.

The vector sum of the forces exerted on a particle or object is known as the net force. The original forces' impact on the motion of the particle is replaced by the net force, which is a single force.

Force ( F ) is 2100N

Acceleration ( a ) is 1.8m/s²

Mass(m)= ?

According to formula;

Force = mass × acceleration

F= m × a

2100 = m × 1.8

2100 / 1.8 = m

Therefore, m = 1166.6kg.

Thus, The net force on a vehicle that is accelerating at a rate of 1.8 m/s2 is 2100 N. The approximate mass of the vehicle in kg is  1166.67kg.

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How will the water affect the speed at which sounds reach his ears?
A. Water will not affect the speed of sound.
B. The sound will travel faster than in air. C. The sound will travel slower than in air.​

Answers

The answer is C, because water is denser, therefore it will take a longer time to reach the ears

4.127 a model solid propellant rocket has a mass of 69.6 g, of which 12.5 g is fuel. the rocket produces 5.75 n of thrust for a duration of 1.7 s. for these conditions, calculate the maximum speed and height attainable in the absence of air resistance. plot the rocket speed and the distance traveled as functions of time.

Answers

The maximum speed and height attainable in the absence of air resistance is 139.2 m/s and 1100m.

Umax = U(t = t’ = 1.7 sec) = 139.2 m/s (h(t = t’) = 114 m)

hmax = h(t = tm = 15.9 sec) = 1100 m

Assume that the rocket's mass flow rate is constant. Assume, too, that the thrust will remain constant throughout the burn.

Apply the rocket's frame of reference to the CV displayed and the linear momentum equation in the y-direction.

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I understand that the question you are looking for is:

A model solid propellant rocket has a mass of 69.6 gm, of which 12.5 gm is fuel. The rocket produces 1.3 lbf of thrust for a duration of 1.7 sec. For these conditions, calculate the maximum speed and height attainable in the absence of air resistance. Plot the rocket speed and the distance traveled as functions of time

4.127 a model solid propellant rocket has a mass of 69.6 g, of which 12.5 g is fuel. the rocket produces
4.127 a model solid propellant rocket has a mass of 69.6 g, of which 12.5 g is fuel. the rocket produces
4.127 a model solid propellant rocket has a mass of 69.6 g, of which 12.5 g is fuel. the rocket produces
4.127 a model solid propellant rocket has a mass of 69.6 g, of which 12.5 g is fuel. the rocket produces

derive an expression from the energy stored E, in a stretched wire of original length L cross sectional area A, e, tension e,and young modulus Y of the material of the wire​

Answers

The expression for the energy stored (E) in a stretched wire of original length (L), cross-sectional area (A), tension (T), and Young's modulus (Y) is given by E = Y * e * ln(L) * A

How to explain the expression

The work done to stretch the wire can be calculated by integrating the force applied over the displacement. In this case, the force applied is the tension (T) in the wire, and the displacement is the change in length (ΔL) from the original length (L) to the stretched length (L + ΔL).

The tension in the wire is given by Hooke's law, which states that the tension is proportional to the extension of the wire:

T = Y * (ΔL / L)

where Y is the Young's modulus of the material of the wire.

Now, let's calculate the work done to stretch the wire:

dW = T * dL

Integrating this expression from L to L + ΔL:

W = ∫ T * dL = ∫ Y * (ΔL / L) * dL

W = Y * ΔL * ∫ (dL / L)

W = Y * ΔL * ln(L) + C

Here, C is the constant of integration. Since the energy stored in the wire is zero when it is unstretched (ΔL = 0), we can set C = 0.

Finally, the expression for the energy stored in the wire (E) is:

E = W = Y * ΔL * ln(L)

or, if we substitute the cross-sectional area (A) and strain (e) of the wire, where e = ΔL / L:

E = Y * e * ln(L) * A

Thus, the expression for the energy stored (E) in a stretched wire of original length (L), cross-sectional area (A), tension (T), and Young's modulus (Y) is given by:

E = Y * e * ln(L) * A

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a ladder is slipping down a vertical wall. if the ladder is 13 ft long and the top of it is slipping at the constant rate of 5 ft/s, how fast is the bottom of the ladder moving along the ground when the bottom is 5 ft from the wall? define the term stress and give two possible reasons why the boy in the cartoon suffered from examination stress Suppose that the risk-free interest rate is 10% per annum with continuous compounding and the yield on a stock AA is 4% per annum. The stock AA is standing at 400$ and the futures prices for a contract deliverable in four months is 405$. What arbitrage opportunity does this create and what should arbitrage strategy be? During a schoolyard survey, students observe a litter of baby rabbits with brown and white offspring. Explain how it is possible for two brown furred rabbits to have a white furred offspring. Use evidence to support your answer.help asap How do you respond to a delayed customer? Write the equation in slope-intercept form through the point (-5, 3) and is perpendicular to the line y = 2x - 3 and graph How do youWork this equation 5/16 + (-7/16)= what is composed of people who work as independent contractors on a series of short-term projects or tasks? What is the 5 manifestation of digital divide Eventually (2) the soil was completely lost, when it blew out to the Atlantic Ocean.Read the passage underlined (2). There may be a mistake in punctuation, capitalization, or spelling. If you find a mistake, choose the answer that corrects the mistake. If there is no mistake, choose Correct as is. athe soil was completely lost; when it blew out to the Atlantic Ocean. bthe soil was completely lost when it blew out, to the Atlantic Ocean. cthe soil was completely lost when it blew out to the Atlantic Ocean. dcorrect as is What is one way Buddhism was able to spread beyond India?Buddhist leaders used the military to conquer other countries.The Buddha traveled to countries outside of India to preach.Traders and Buddhist missionaries shared the religion as they traveled.The Buddha helped Buddhist monks and nuns build temples to spread the religion. Which of the following events do NOT change the total size of the monetary base? A. The Federal Reserve purchases a short-term bond from TerpBank in an open market operation B. TerpBank gets into solvency problems and receives an emergency loan from the Fed at the discount window C. TerpBank settles its customers' transactions with customers at other banks D. None of these events change the monetary base Why would project managers be caught off guard with a request tosee a quality management plan? What would you do in thissituation. Name_bran d Sillir Section EXERCISE 18 PROBLEMS-PART IIIINTERNET this exercise, you will use a meteogram to study the weather changes brought by the passing of a midlatitude cyclone. This exercise will work best about 12 hours after a midlatitude cyclone on front passes through your area. If no storms are currently in your area, your instructor may have you choose another city that has experienced a passing storm within the last day or use the sample meteogram for Dallas-Fort Worth, Texas, shown in Figure 18-5. Go to the Hess Physical Geography Laboratory Manual, 12th edition, website at www .Mastering Geography.com, then select Exercise 18. Then select "Go to University of Wyoming, Information for United States Cities" for the Department of Atmospheric Sci- ence Web page, http://weather.uwyo.edu/cities. Your instructor may recommend a dil- ferent Internet site that provides meteograms.) Select your region of the United States to see a map showing cities in the area. Under "Observations" select "Meteogram." Click on the closest city to your location for the current meteogram in that city, After viewing the meteogram, answer the following questions. Your instructor may ask that you attach a copy of the meteogram to your answers. 1. 2. Which city did you study? What was the date and time of the meteogram studied? (Be sure to also indicate the local day and time of the meteogram.) 3. (a) (b) Describe the changes in pressure over the 25-hour period. What might explain these pressure changes? 4. (a) (b) Describe the changes in temperature over the 25-hour period. What might explain these temperature changes? 5. (a) (b) Describe the changes in wind direction over the 25-hour period. What might explain these wind direction changes? 6. Did any precipitation take place during the 25-hour period? If so, how much and w 7. (a) Based on the information in the meteogram, what time did the front(s) and/or storm pass through your city? How can you tell? (b) 112 n i cation, Inc You opened your credit card statement and observed that APR quoted is 7% per yearWhat is the Effective Annual Rate (EAR), if interest is computed daily?Enter your answer in the following format: 0.1234Hint: Answer is between 0.0645 and 0.0798 Which federal agency partners with the National White-Collar Crime Center to operate the Internet Crime Complaint Center (IC3)? Cuando desarrollamos la capacidad de inferir lo hacemos por medio de-Escoge la respuesta correctaA) Citas textuales, resmenes y comentariosB) Resumen, investigaciones y reflexionesC) Proverbios y refranesD) Explicaciones, predicciones y asociaciones What factors might favor the evolution of semelparity versus iteroparity in different species of salmon? What are the 3 types of group discussion? Find the slope \mathrm{m}m of the line in the graph below. \mathrm{m} =m=