(a) Equipment used: Spring scale, wooden meterstick, protractor.
(b) Diagram: (Attached below)
(c) Experimental procedure:
Measure the mass of the small ball using a spring scale.Attach the small ball to the insulating string and hold it between the two plates.Ensure that the string is vertical by using a plumb line or visually aligning it with the meterstick.Use the protractor to measure the angle at which the string deviates from the vertical.Measure the tension in the string using the spring scale.Calculate the weight of the ball (mass x gravitational acceleration) and equate it to the tension in the string to find the vertical component of the electrostatic force on the ball.Calculate the horizontal component of the electrostatic force by multiplying the tension by the tangent of the angle measured in step 4.Use the wooden meterstick to measure the distance between the plates.Quantities to measure:
Mass of the ball (using the spring scale)Angle of deviation (using the protractor)Tension in the string (using the spring scale)Distance between the plates (using the wooden meterstick)(d) (i) The magnitude of the electric field can be calculated by dividing the horizontal component of the electrostatic force on the ball by the charge on the ball. Mathematically, E = F_horizontal / q, where E represents the electric field magnitude, F_horizontal is the horizontal component of the electrostatic force, and q is the charge on the ball.
(ii) The direction of the electric field can be determined by the direction of the force experienced by the positive charge on the ball. Since the ball has a positive charge, the direction of the electric field will be opposite to the direction of the electrostatic force on the ball.
(iii) To determine which plate is positive, observe the direction of the force on the ball. If the ball is attracted towards a plate, then that plate is negatively charged and the other plate is positively charged. If the ball is repelled from a plate, then that plate is positively charged and the other plate is negatively charged.
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What is the distance between two spheres (20 kg and 30 kg) attracted by a force of 2 x 10^-5 Newtons.
a 1,000 ml iv solution is to be administered over 6 hours. what is the rate of administration in ml/min?
Rate of administration
Amount/Time1000/360100/362.78ml/minThe rate of administration for the IV solution is approximately 2.778 mL/min.
To calculate the rate of administration in mL/min, we need to convert the total volume of the IV solution (1,000 mL) and the time it takes to administer it (6 hours) into the same unit of time (minutes).
1 hour = 60 minutes
Total volume of IV solution = 1,000 mL
Time for administration = 6 hours = 6 hours × 60 minutes/hour = 360 minutes
Now, we can calculate the rate of administration in mL/min:
Rate = Total volume / Time for administration
Rate = 1,000 mL / 360 minutes
Rate ≈ 2.778 mL/min
Hence, The rate of administration for the IV solution is approximately 2.778 mL/min.
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Explain one way organisms with similar niches reduce competition when they are found in the same ecosystem? Give one example.
One way organisms with similar niches reduce competition when they are found in the same ecosystem is by resource partitioning.
One example of resource partitioning is when two species of birds foraging together feed on different resources; one eats insects on tree trunks while the other eats insects in the outer branches.
What is resource partitioning?Resource partitioning, which helps prevent rivalry in an ecological niche, is the division of scarce resources among species.
Two similar species employ mostly non-overlapping resources as a result of this type of evolution, and as a result, they occupy different niches. Because there is less direct rivalry between the species as a result of this resource partitioning, the species can coexist.
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If ammeters and voltmeters are not to significantly alter the quantities they are measuring,.
If ammeters and voltmeters are not to significantly alter the quantities they are measuring, then they must have a high input impedance. This means that they do not draw significant current or cause voltage drops in the circuit they are measuring.
Ammeters must also have a low resistance to minimize the voltage drop across the ammeter, while voltmeters must have a high resistance to limit the current flow through the meter. Overall, both instruments must be carefully designed and calibrated to ensure accurate measurements without interfering with the circuit being measured.
To ensure ammeters and voltmeters do not significantly alter the quantities they are measuring, follow these guidelines:
1. Ammeters: Ammeters are used to measure the current in a circuit. They should be connected in series with the component or section of the circuit whose current you want to measure. To minimize their impact on the circuit, ammeters should have a very low internal resistance.
2. Voltmeters: Voltmeters are used to measure the voltage (potential difference) across a component or section of a circuit. They should be connected in parallel with the component or section whose voltage you want to measure. To minimize their impact on the circuit, voltmeters should have a very high internal resistance.
By connecting ammeters and voltmeters in the appropriate manner and ensuring they have the correct internal resistance, you can prevent them from significantly altering the quantities they are measuring in a circuit.
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how do velocity and acceleration differ? average acceleration can be measured but average velocity cannot. they are the same thing. velocity has direction but acceleration does not. velocity is the rate at which acceleration changes. acceleration is the rate of change of velocity, while velocity is the rate of change of displacement
The rate of change of displacement is velocity, while the acceleration is the rate of change of velocity, acceleration can have positive or negative values but velocity has zero as a value, along with positive and negative values.
What is displacement?It is visually depicted as an arrow that points from the initial location to the final position and has both a direction and a magnitude. A change in an object's position is referred to as displacement, which is a vector quantity.
What is acceleration?Acceleration is the rate at which an object's velocity with respect to time changes. They are vector quantities and the direction of the net force acting on an object determines the direction of its acceleration.
Hence, the rate of change of displacement is velocity, while acceleration is the rate of change of velocity, acceleration can have positive or negative values but velocity has zero as a value, along with positive and negative values.
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Saturn's moon Titan has a mass of 1.35 times 10^23 kg and a radius of 2580 km. What is the free-fall acceleration on Titan?
The free-fall acceleration on Titan is approximately 1.354 m/s^2
How to calculated the free-fall acceleration on Titan ?The free-fall acceleration on Titan can be calculated using the following formula:
g = G * M / r^2
where
g = free-fall accelerationG = gravitational constant (6.6743 × 10^-11 m^3/kg s^2)M = mass of Titan (1.35 × 10^23 kg)r = radius of Titan (2580 km = 2,580,000 m)Substituting the values:
g = 6.6743 × 10^-11 m^3/kg s^2 * 1.35 × 10^23 kg / (2,580,000 m)^2
g = 1.354 m/s^2
Therefore, the free-fall acceleration on Titan is approximately 1.354 m/s^2.
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What is the net displacement of the particle between 0 seconds and 80seconds?
Answer:
Option (A)
Explanation:
Displacement of a particle on a velocity time graph is represented by the area between the line representing velocity and x-axis (time).
Displacement of a particle from t = 0 o t = 40 seconds = Area of ΔAOB
Area of triangle AOB = \(\frac{1}{2}(\text{Base})(\text{height})\)
= \(\frac{1}{2}(40)(4)\)
= 80 m
Similarly, displacement of the particle from t = 40 to t = 80 seconds = Area of ΔBCD
Area of ΔBCD = \(\frac{1}{2}(40)(4)\)
= 80 m
Total displacement of the particle from t = 0 to t = 80 seconds,
= 80 + 80
= 160 m
Option (A) will be the answer.
A pendulum takes 60 seconds to swing through 2 complete cycles.
A. How long does it take to complete one cycle?
B. What is its period?
C. What is its frequency?
If you spill household bleach on denim jeans, you will observe that the area of the spill no
longer has a blue color. Is this change chemical or physical? Give a reason for your
answer.
Answer: chemical change.
Explanation: Because the bleach has caused the denim to change color, the change is likely to be a chemical change.
The change that occurs when household bleach is spilled on denim jeans is a chemical change.
A physical change is a change in the form of a substance, but not in its chemical composition. For example, if you melt a piece of ice, you have made a physical change because the ice has changed from a solid to a liquid, but the chemical composition of the ice has not changed.
A chemical change is a change in the chemical composition of a substance. This means that the atoms in the substance are rearranged to form new substances. For example, when household bleach is spilled on denim jeans, the bleach reacts with the indigo dye in the jeans to form a new substance that is colorless.
In the case of household bleach on denim jeans, the bleach reacts with the indigo dye in the jeans to form a new substance that is colorless. This is a chemical change because the chemical composition of the indigo dye has been changed. The color change is a clear indication that a chemical change has occurred. When the bleach reacts with the indigo dye, the bonds between the atoms in the indigo dye are broken and new bonds are formed. This results in the formation of a new substance that is colorless.
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Summarize the process for titrating an unknown basic solution with an acidic solution of known concentration.
In titrating an unknown basic solution with an acidic solution, the known concentration acid is gradually added until the neutralization point is reached and indicated by a color change using an indicator.
Titrating an unknown basic solution with an acidic solution involves slowly adding the acid to the base while monitoring the pH using an indicator or pH meter. The process begins with measuring a known volume of the basic solution and transferring it to a flask.
Then, a few drops of indicator are added. The acidic solution is gradually added from a burette until the endpoint is reached, indicated by a color change or pH shift. The volume of acid used is recorded to calculate the concentration of the unknown basic solution using stoichiometry.
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A mixture of solute and solvent is called a solution. The solution is of acidic and basic solution. An acidic solution is a solution in which hydrogen ions (positively charged ions) are released when mixed with water. The pH range is below 1-7.
A basic solution is a solution in which hydroxyl ions (negatively charged ions) are released when mixed with water. The pH range is above 7-14. Titration is the process of the known concentration of the solution is used to determine the concentration of another solution.
When adding the indicator and then slowly add the acidic concentration till it becomes neutral whereas indicator is the organic compound that changes the color of the solution if it is acid or base. This is the process of titrating an unknown basic solution with an acidic solution of known concentration.
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Which term describes the energy an object has because of its motion?
A pirate’s map has you traveling 8 m N and 10 m W. It takes you 22 seconds to complete the distance. What is your speed?
Move the chemistry book across the physics book again. study the thermometer to determine whether there’s a change in the physics book’s temperature. what do you find?
Heat is always transferred through the movement of matter in the convection mode of heat transmission.
What is heat transfer ?Heat transfer is the movement of heat from one solid or liquid item to another. Always, heat moves from one body with a greater temperature to one with a lower temperature. To put it another way, heat always transfers from a hotter body to a cooler body.
Heat energy is transferred through the mechanism of conduction when nearby atoms or molecules collide. In solids and liquids, where particles are more closely spaced, conduction happens more easily than in gases, where particles are more widely spaced.Here we can say that heat is transfer when there is movement between two books and hence there is change in temperature.Learn more about Heat transfer here:
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Answer:
The temperature of the physics book increases as the chemistry book slides across it.
Explanation:
pluto
What is the strength of the electric field between two parallel conducting plates separated by 1.00 cm and having a potential difference (voltage) between them of 1.50×10^4v ?
Four 15 o resistors are connected in a series to a 45-v battery. Draw the circuit (include an ammeter and voltmeter)
To draw the circuit diagram with four 15 ohm resistors connected in a series to a 45-v battery, along with an ammeter and voltmeter, follow the steps below:Step 1: Place the batteryTo begin with, draw the 45 V battery at the top of the page, as shown in the figure below. Step 2: Add resistorsNext, add the four 15 ohm resistors in a series circuit after the battery, as shown in the figure below.
Step 3: Add the ammeterIn the circuit, an ammeter is placed in series with the resistors to calculate the total current in the circuit. Connect the ammeter between the last resistor and the negative terminal of the battery, as shown in the figure below.Step 4: Add the voltmeter. Finally, a voltmeter is placed in parallel with the resistors to determine the voltage across them.
Connect the voltmeter in parallel with each resistor, as shown in the figure below. [Figure]Hence, this is how the circuit diagram with four 15 ohm resistors connected in a series to a 45-v battery looks like, along with an ammeter and voltmeter.
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28.5 g of calcium carbonate (CaCOn reacts with an excess of sulfuric acid
(H SOg) to farm calcium sulfate (CasOn), carbon dioxide (COal and water (H.O). Calculate the mass of calcium sulfate that will be formed in this reaction
36.98 g of calcium sulfate will be formed in this reaction.
How to determine mass?The balanced chemical equation for the reaction is:
CaCO₃ + H₂SO₄ → CaSO₄ + H₂O + CO₂
According to the equation, 1 mole of CaCO₃ reacts with 1 mole of H₂SO₄ to produce 1 mole of CaSO₄. The molar mass of CaCO₃ is 100.09 g/mol, which means that 28.5 g of CaCO₃ is equal to:
28.5 g / 100.09 g/mol = 0.2848 mol CaCO₃
Therefore, the amount of CaSO₄ produced is also 0.2848 mol. The molar mass of CaSO₄ is 136.14 g/mol, so the mass of CaSO₄ produced is:
0.2848 mol x 136.14 g/mol = 36.98 g
Therefore, 36.98 g of calcium sulfate will be formed in this reaction.
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you are standing mid-way between two speakes that at sepraed by ditac 26 m. the speakers are emiting the same monotone sound with a radergaig m. you start waking towards one of the speakers istering to he itesydie two-speaker wave interference. how far do you need to go to expreca the fin point of maximum intensity (constructive interference in front of jo?
You may need to walk a different distance to reach the point of maximum intensity for each frequency, far do you need to go to find point of maximum intensity.
The distance you need to walk to reach the point of maximum intensity (constructive interference) in front of you, you need to consider the principles of wave interference.
When two waves of the same frequency interfere with each other, the resulting wave can be either larger (constructive interference) or smaller (destructive interference) than the individual waves, depending on the phase difference between the waves. If the waves are in phase (i.e., if the crest of one wave coincides with the crest of the other wave), then the resulting wave will be larger than either of the individual waves (constructive interference). If the waves are out of phase (i.e., if the crest of one wave coincides with the trough of the other wave), then the resulting wave will be smaller than either of the individual waves (destructive interference). In the case of two speakers separated by a distance of 26 meters, the point of maximum intensity (constructive interference) will be located halfway between the speakers, or 13 meters from either speaker. If you start walking towards one of the speakers, you will need to walk a total of 13 meters to reach the point of maximum intensity in front of you.
It's important to note that the point of maximum intensity (constructive interference) will only be located 13 meters from each speaker if the speakers are emitting monotone sounds with a single frequency. If the speakers are emitting sounds with multiple frequencies, the point of maximum intensity (constructive interference) will vary for each frequency, and you may need to walk a different distance to reach the point of maximum intensity for each frequency.
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the velocity of a body is increases from 10 m/s ti 15 m/s in 5seconds calculate its acceleration
Answer:
acceleration = v-u/ t
= 15-10/5
= 5/5
= 1 m/s2
Explanation:
hope this helped you.
Answer:
\(\boxed {\boxed {\sf 1 \ m/s^2}}\)
Explanation:
Acceleration is the change in velocity over the change in time. Therefore, the formula for calculating acceleration is:
\(a= \frac{v_f-v_i}{t}\)
Since the body's velocity increased from 10 meters per second to 15 meters per second 15 m/s is the final velocity and 10 m/s is the initial velocity. The time is 5 seconds.
\(v_f\)= 15 m/s \(v_i\)= 10 m/s t= 5 s\(a= \frac{ 15 \ m/s - 10 \ m/s}{5 \ s}\)
Solve the numerator.
15 m/s - 10 m/s = 5 m/s\(a= \frac{ 5 \ m/s }{5 \ s}\)
Divide.
\(a= 1 \ m/s/s\)
\(a= 1 m/s^2\)
The acceleration is 1 meter per second squared.
What is the effect of the density of liquid on the floating object?
Answer:
it is less dense than the liquid it is placed in. Explanation:
Answer:
The density of an object determines whether it will float or sink in another substance. An object will float if it is less dense than the liquid it is placed in. An object will sink if it is more dense than the liquid it is placed in.
A solid object will float on a liquid if the solid is less dense than the liquid.
We don’t often think about this, but ice floats on liquid water, because ice is less dense than water. It is one of the few substances whose solid is less dense than its liquid. If it weren’t, ice would drop to the bottom of the oceans and lakes, and these bodies of water would remain frozen year round. Life would almost certainly not have evolved on Earth if this were the case.
Explanation:
FILL IN THE BLANK. Sometimes interactions are difficult to analyze during the process that causes changes in motion. In these cases it can be easier to describe the overall____in motion rather than detail it step by step.
Sometimes interactions between objects in motion are difficult to analyze during the process that causes changes in motion. In these cases, it can be easier to describe the overall change in motion rather than detail it step by step.
How describing overall change in motion is easier?In some cases, analyzing the interactions that cause changes in motion can be challenging. In such scenarios, it is more convenient to describe the overall change in motion rather than detailing each step. This approach is often referred to as the principle of conservation of momentum. This principle states that the total momentum of an isolated system remains constant in the absence of external forces.
It can be applied to a wide range of physical phenomena, including collisions between objects, rocket propulsion, and fluid dynamics. By using this principle, scientists and engineers can make accurate predictions about the behavior of physical systems without needing to analyze every individual interaction.
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A pring of force contant 120 N/m i acted up by a contant force of 240n. Calculate the elatic potential tored in the pring
A spring of force constant 120 N/m acted up by a constant force of 240N. Then, the elastic potential energy stored in the spring is 240 Nm.
The elastic potential energy stored in the spring is formulated as follows
PE = ½kx²
Where PE is the elastic potential energy, x is the displacement of the spring from its equilibrium position, and k is the spring force constant.
In this question, the spring force constant is 120 N/m, and the constant force acting on the spring is 240 N. To find the spring displacement, we can use the formula:
F = kx
Where F is the force acting on the spring, x is the displacement, and k is the force constant,
So that:
F = kx
240 N = 120 N/m . x
x = 240 N/120 N/m
x = 2 m
Once x is known, then we can calculate the potential energy of the spring:
PE = ½kx²
PE = ½ (120) (2²)
PE = 60 x 40
PE = 240 Nm
So, the elastic potential energy stored in the spring is 240 Nm.
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A charge of 3.877 nC is moved from a position on the y axis of 8.856 cm to a position on the x axis of 1.619 cm while there is a charge 21.524 nC located at the origin. How much work in micro-Joules did it take to move the charge?
Answer:
sa64
Explanation:
What is the threshold velocity vthreshold(water) (i.e., the minimum velocity) for creating Cherenkov light from a charged particle as it travels through water (which has an index of refraction of n=1.33)?
the threshold velocity \(v_{threshold (water) }\)(i.e., the minimum velocity) for creating Cherenkov light from a charged particle as it travels through water is (0.751) c.
The lowest fluid velocity that, in the case of a spinner flowmeter, would be necessary to start the spinner rotating. Due to extra viscous and mechanical factors, the actual fluid velocity needed to begin spinner spinning is a little greater. The spinner response at higher fluid velocities, where it is known to be nearly linear, is extrapolated back to the value that exists when spinner rotation is zero to calculate the threshold velocity.
The threshold velocity (water) for creating Cerenkov light from a charged particle as it travels through water which is given as -
using an equation, we have
\(v_{threshold (water) }\)=\(\frac{ c }{ n} \Rightarrow \frac{3 \times 10^8 }{ 1.33}\)
\(v_{threshold (water) }\)=2.25 \(\times 10^8\)\(\frac{m}{s}\)
\(v_{threshold (water) }\)= (0.751) c
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How many seconds are in 2.3 years? Round your answer to four decimal places. There are: 60 seconds in one minute 60 minutes in one hour 24 hours in a day 7 days in a week 365 days in a year. what are the 4 decimal places?
There are 507,729,600 seconds in 2.3 years.
How to convert years to seconds?Time is the dimension of spacetime with the opposite metric signature to space dimensions.
Time can be measured in seconds, hours, minutes, days, years etc. however, they are inter-convertible.
The conversion factors are as follows:
60 seconds in one minute 60 minutes in one hour 24 hours in a day 7 days in a week 365 days in a year.This means that there will be;
839.5 days in 2.3 years5876.5 weeks in 839.5 days141,036 hours in 5876.5 weeks8,462,160 minutes in 141,036 hours507,729,600 seconds in 8,462,160 minutesTherefore, there are 507,729,600 seconds in 2.3 years.
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a child moves on x axis at a starting point 10cm it moves till it reaches point 70cm then it goes back to 5.
What's the displacement?
What's the distance?
The displacement on x-axis is 75 cm and the distance that moved by the child is 80 cm
The term displacement refers to a shift in an object's position. It is a vector quantity with a magnitude and direction. And distance is the sum of an object's movements, regardless of direction. Distance can be defined as the amount of space an object has covered, regardless of its starting or ending position.We are given that,
Starting point of child = d₁ = 10cm
Reaching point of the child = d₂ = 70cm
Move back = 5cm
Therefore, total distance covered by a child can be given as,
Δd = 10cm + 70 cm = 80 cm
Thus, the total distance is 80cm and a child moves back 5cm then the displacement would be given as,
Displacement = total distance cover - distance move back
Displacement = 80cm - 5 cm = 75 cm
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A 19.7 kg sled is pulled with a 42.0 N force at a 43.0° angle, across ground where μ₁ = 0.130.
What is the normal force on the sled?
The following information is provided in the problem: A sled with a weight of 19.7 kg is pulled with a force of 42.0 N at an angle of 43.0° across ground where μ₁ = 0.130. We need to find out the normal force that is exerted on the sled.
Let us examine each of the forces acting on the sled.The weight of the sled is equal to its mass multiplied by the acceleration due to gravity. Therefore, the weight of the sled is:mg = 19.7 kg x 9.8 m/s² = 193.06 N.The force exerted on the sled can be divided into two components: one that is parallel to the ground and one that is perpendicular to the ground.The force parallel to the ground is:F₁ = 42.0 N x cos(43.0°) = 30.56 N.The force perpendicular to the ground is:F₂ = 42.0 N x sin(43.0°) = 28.30 N.The frictional force is equal to the coefficient of friction multiplied by the normal force. Therefore, we need to find the normal force on the sled in order to calculate the frictional force. Since the sled is not accelerating vertically, the normal force is equal to the weight of the sled plus the force perpendicular to the ground. Therefore, N = mg + F₂N = 193.06 N + 28.30 N = 221.36 N.The frictional force is:Fr = μ₁ x NFr = 0.130 x 221.36 N = 28.77 N.Thus, the normal force exerted on the sled is 221.36 N.For such more question on perpendicular
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The sound wave passes from the sea-water into the air. State what happens to; the speed of the waves
The speed of sound wave in water is much more greater than its speed in air, so when the sound wave passes from sea water to air, then it's speed decreases.
When two forces act in the same direction on an object, the net force is found by ....................the forces.
1. adding
2.subtracting
3.multipling
4.dividing
Answer:
By ADDING the forces
Explanation:
define the word prism
Answer:
a polyhedron with two polygonal faces lying in parallel planes and with the other faces parallelograms
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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