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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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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is the acceleration of a fluid particle necessarily zero in steady flow? explain.
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 :(
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
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
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?
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
Use the information from the article to answer the question. Asteroids and Comets Which statements describe the characteristics of asteroids
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 _______.
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.
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?
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
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?
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.
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
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
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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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
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?
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?
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
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?
Answer: what is the person’s distance
What advantages does a large diameter astronomical telescope have over a telescope of a smaller diameter?.
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
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?
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.
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
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
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
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.
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.
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
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
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 expressionThe 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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