Answer:
Hawaii is located in the Pacific Ocean to the southwest of the continental U.S., southeast of Japan and northeast of Australia. Hawaii is known for its tropical climate, unique topography, and natural environment, as well as its multicultural population.
A piston-cylinder device initially contains 50 L of liquid water at 40°C and 200 kPa. Heat is transferred to the water at constant pressure until the entire liquid is vaporized. (a) What is the mass of the water? (b) What is the final temperature? (c) Determine the total enthalpy change. (d) Show the process on a T-v diagram with respect to saturation lines.
(a) The mass of water is approximately 49.65 kg. (b) The final temperature of the water vapor will be 120°C. (c) The total enthalpy change is approximately 277,956 kJ. (d) Diagram shown below.
(a) To determine the mass of the water, we need to know its density at the given conditions. The density of water changes with temperature and pressure. At 40°C and 200 kPa, the density of water is approximately 993 kg/m³.
Since we have 50 L of water, we need to convert it to cubic meters:
50 L = 0.05 m³
Now we can calculate the mass of water:
Mass = Density * Volume
Mass = 993 kg/m³ * 0.05 m³
Mass ≈ 49.65 kg
Therefore, the mass of water is approximately 49.65 kg.
(b) To find the final temperature, we need to consider the phase change from liquid to vapor. At constant pressure, the temperature will remain constant until all the liquid water has vaporized. This temperature is called the saturation temperature.
We can determine the saturation temperature at 200 kPa using a steam table or other relevant data sources. Let's assume that the saturation temperature is 120°C.
Therefore, the final temperature of the water vapor will be 120°C.
(c) To calculate the total enthalpy change, we need to consider the energy required to heat the water from its initial temperature to the saturation temperature, as well as the energy required for the phase change from liquid to vapor.
The enthalpy change during heating can be calculated using the formula:
ΔH1 = Mass * Specific Heat Capacity * ΔT1
Where:
Mass = 49.65 kg (from part a)
Specific Heat Capacity = specific heat capacity of water at constant pressure = 4.18 kJ/(kg·°C)
ΔT1 = final temperature - initial temperature = 120°C - 40°C = 80°C
ΔH1 = 49.65 kg * 4.18 kJ/(kg·°C) * 80°C
ΔH1 ≈ 165,938 kJ
The enthalpy change during phase change can be calculated using the formula:
ΔH2 = Mass * Latent Heat of Vaporization
Where:
Mass = 49.65 kg (from part a)
Latent Heat of Vaporization = energy required to vaporize 1 kg of water = 2257 kJ/kg
ΔH2 = 49.65 kg * 2257 kJ/kg
ΔH2 ≈ 112,018 kJ
The total enthalpy change is the sum of ΔH1 and ΔH2:
Total Enthalpy Change = ΔH1 + ΔH2
Total Enthalpy Change ≈ 165,938 kJ + 112,018 kJ
Total Enthalpy Change ≈ 277,956 kJ
Therefore, the total enthalpy change is approximately 277,956 kJ.
(d) The process can be shown on a T-v (temperature-volume) diagram with respect to saturation lines. In this case, the process starts at the initial temperature and pressure (40°C, 200 kPa), and moves along the constant pressure line until reaching the saturation temperature (120°C). Then, the process follows the saturation line until the entire liquid is vaporized.
Here is a simplified representation of the process on a T-v diagram:
|
Saturation | |
Line | |
| |
| |
| |
| |
| |
| |
Initial |-----------------------------| Final
| |
| |
| |
| |
| |
|
This diagram is a rough representation and does not accurately reflect specific volume values or scale. It simply illustrates the general process from initial conditions to the final state along the constant pressure and saturation lines.
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A bat emits a sonar sound wave
(343 m/s) that bounces off a
mosquito 8.42 m away. How
much time elapses between
when the bat emits the sound
and when it hears the echo?
(Unit = s)
Please help I am very confused with this topic
The time between when the bat emits the sound and when it hears the echo is 0.05 s
From the question given above, the following data were obtained:
Velocity of sound (v) = 343 m/s
Distance (x) = 8.42 m
Time (t) =?We can obtain obtained the time as illustrated below:
v = 2x / t
343 = 2 × 8.42 / t
343 = 16.84 / t
Cross multiply
343 × t = 16.84
Divide both side by 343
t = 16.84/343
t = 0.05 sThus, the time between when the bat emits the sound and when it hears the echo is 0.05 s
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Answer:
0.0491
Explanation:
A. How many Coulombs are there in one fundamental/elementary charge?B. How many electrons are there in one coulomb of negative charge?
(A). The number of Coulombs in one fundamental charge of an electron is,
\(1e\text{ = 1.}6\times10^{-19}\text{ C}\)(B). The charge in terms of the number of electrons is,
\(q=ne\)where q is the net charge, e is the fundamental charge and n is the number of electrons,
For the net charge of q = 1 Coulomb, the number of electrons is,
\(\begin{gathered} 1\text{ C=n}\times1.6\times10^{-19}\text{ C} \\ n=\frac{1}{1.6\times10^{-19}} \\ n=0.625\times10^{19} \\ n=6.25\times10^{18}\text{ } \end{gathered}\)Thus, the number of electrons in the 1 Coulomb of charge is,
\(6.25\times10^{18}\)
One coulomb (1 C) is equal to approximately 6.24 x 10 18 elementary charges. Thus, an elementary charge is approximately 1.60 x 10 -19 C.
The unit of electrical charge quantity in the International System of Units is the coulomb. Coulomb is the SI unit of electric charge which is equal to the amount of charge transported by a current of one ampere in one second. It can be also, a property of a matter due to which electrical and magnetic effects are produced. It is denoted by C. Mathematically, 1 Coulomb = 1 Ampere × 1 second.
To illustrate the magnitude of 1 Coulomb, an object would need an excess of 6.25 x 1018 electrons to have a total charge of -1 C. And of course, an object with a shortage of 6.25 x 1018 electrons would have a total charge of +1 C. The charge on a single electron is -1.6 x 10 -19 Coulomb.
Charge on an electron(e)= 1.6∗10^−19 C approximately.
By quantization property of charge(Smallest unit is e),
Charge (Q) = 1C where n-number of electrons.
Electron (e) = 1.6× 10^-19
A number of electrons (n) =?
Q= ne
1 C = n × 1.6×10^-19 C
n = 1/(1.6×10^-19)
Which gives, n= 6.25*10^18 electrons
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Pls help I will give Brainliest to First and Correct Answer.
You want to move your tv unit back closer to the wall. The first way is to push it from the middle. The second way would be to push it from the top.
Which point of application would result in the tv unit tipping over? Why?
Answer:
I would say pushing it from the top because when you push anything from the top it basically flips over. You can go ahead and try to push anything forward from the top and starts tipping forward. I think the reason would be because you're putting weight only on the top of the tv and that is what would cause it to topple
Explanation: Hope this helps:)
If you were to hit a Ping Pong ball of mass 0.0029 gg with the same force that caused a 0.058-gg tennis ball to move with an acceleration of 10 m/s2m/s2 , what would the acceleration aaa of the Ping Pong ball be
Answer:
the acceleration of the Ping Pong ball is 200 m/s²
Explanation:
Given;
mass of Ping Pong ball, m = 0.0029 g = 2.9 x 10⁻⁶ kg
mass of tennis ball, m = 0.058 g = 5.8 x 10⁻⁵ kg
acceleration of the tennis ball, a = 10 m/s²
The force applied to the tennis ball is calculated as;
F = ma
F = 5.8 x 10⁻⁵ x 10
F = 5.8 x 10⁻⁴ N
The acceleration of the Ping Pong ball is calculated as;
a = F/m
a = ( 5.8 x 10⁻⁴ N) / (2.9 x 10⁻⁶)
a = 200 m/s²
Therefore, the acceleration of the Ping Pong ball is 200 m/s²
Select the correct answer.
Which statement is true for a series circuit?
• A.
The voltage is the same
across all resistors in the circuit.
O B. As more resistors are added, the current will increase.
O C. The average of the voltage drops will be the total voltage in the circuit.
O D.
The current is the same across all resistors in the circuit.
O E.
The equivalent resistance will be less than the
resistance of each individual resistor.
Reset
Next
Answer:
D. The current is the same across all resistors in the circuit.
Explanation:
In a series circuit, all circuit elements are connected so that there is exactly one current path. That path goes through each of the elements of the circuit.
The current is the same through all resistors in a series circuit.
What is sound waves
Sound waves are a type of mechanical wave that propagate through a medium, typically air but also other materials such as water or solids.
Characteristics of sound wavesFrequency: the frequency of a sound wave refers to the number of cycles or vibrations it completes per second and is measured in Hertz (Hz).
Amplitude: the amplitude of a sound wave refers to the maximum displacement or intensity of the wave from its equilibrium position. It represents the loudness or volume of the sound, with larger amplitudes corresponding to louder sounds and smaller amplitudes corresponding to softer sounds.
Wavelength: the wavelength of a sound wave is the distance between two consecutive points in the wave that are in phase, such as from one peak to the next or one trough to the next. It is inversely related to the frequency of the wave.
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A block with mass M slides down an incline of angle θ at constant velocity v.
Which of the following expressions is equal to the magnitude of frictional force between the block and the incline? (Note: The acceleration of gravity g = 10 m/s2.)
A.M∙g∙sin θ
B.M∙g∙cos θ
C.M∙g / sin θ
D.M∙g / cos θ
Mgsin, As a result, at a state of dynamic equilibrium, the frictional force exerted on a mass sliding down an incline is proportional to the object's weight times the sine of the incline angle.
What are velocity and speed?In contrast to velocity, which describes the speed and direction of such an object's movement, speed is the speed of moves along a path. Alternatively, velocity is a vector while speed is a scalar quantity.
Is speed also known as velocity?A motion or activity has velocity when it moves quickly. Another term for speed is celerity, which is also a synonym. The measurement of an object's rate and direction of positional change is known as its velocity in physics.
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WHAT IS THE MEAING OF- Grouping Data
Grouping data refers to the process of categorizing or organizing data based on specific criteria or attributes.
It involves grouping similar data points together to gain a better understanding of patterns, relationships, and trends within the dataset. By grouping data, you can simplify complex information and derive meaningful insights from large amounts of data. The purpose of grouping data is to create subsets or clusters that share common characteristics.
This enables easier analysis, summarization, and comparison of data within each group. Grouping can be performed on various types of data, such as numerical, categorical, or time-based data. Grouping data allows for the exploration of data at different levels of granularity.
For example, you can group sales data by region to analyze regional performance, or group customer data by demographics to identify specific customer segments. This process helps in identifying outliers, detecting patterns, and making data-driven decisions.
Common techniques for grouping data include using functions like GROUP BY in SQL or utilizing data visualization tools to create charts or graphs that illustrate the grouped data. Grouping can be applied in various fields, such as marketing, finance, healthcare, and research, to uncover insights and support decision-making processes.
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The reliability or reproducibility of a measurement is its _____
The degree of data stability when the measurement is replicated under identical circumstances is known as reproducibility or reliability.
What exactly are repeatability and reproducibility?Reproducibility determines how an entire study an experiment can be replicated, whereas repeatability assesses the variation in data made by a single equipment or human under similar circumstances.
What makes repeatability crucial?Science needs reproducibility because it enables more in-depth investigation, and replication validates our findings. There are several investigations and experiments, which result in a wide range of variables, unforeseen, and things that are either outside your influence or you cannot guarantee.
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A ship 1200m off shore fires a gun. how long after the gun is fired will it be heard on the shore?
Answer:
We know that the speed of sound is 343 m/s in air
we are also given the distance of the boat from the shore
From the provided data, we can easily find the time taken by the sound to reach the shore using the second equation of motion
s = ut + 1/2 at²
since the acceleration of sound is 0:
s = ut + 1/2 (0)t²
s = ut (here, u is the speed of sound , s is the distance travelled and t is the time taken)
Replacing the variables in the equation with the values we know
1200 = 343 * t
t = 1200 / 343
t = 3.5 seconds (approx)
Therefore, the sound of the gun will be heard at the shore, 3.5 seconds after being fired
An 8.0 Kg mass is placed at = 3 where should a 10 Kg mass be placed along the − so that the center of mass will be located ay = 4.5?
Answer:
Therefore, the 10 kg mass should be placed at x = 5.7 m along the x-axis to achieve a center of mass located at y = 4.5 m.
Explanation:
To find the position along the x-axis where a 10 kg mass should be placed such that the center of mass is located at y = 4.5, we can use the formula for the center of mass:
x_cm = (m1 * x1 + m2 * x2) / (m1 + m2)
Here, m1 and x1 represent the mass and position of the 8 kg mass, respectively. m2 is the mass of the 10 kg mass, and we need to find x2, its position.
Given:
m1 = 8 kg
x1 = 3 m
x_cm = unknown (to be found)
m2 = 10 kg
y_cm = 4.5 m
Since the center of mass is at y = 4.5, we only need to consider the y-coordinate when calculating the center of mass position along the x-axis.
To solve for x2, we can rearrange the formula as follows:
x2 = (x_cm * (m1 + m2) - m1 * x1) / m2
Substituting the given values:
x2 = (x_cm * (8 kg + 10 kg) - 8 kg * 3 m) / 10 kg
Simplifying:
x2 = (x_cm * 18 kg - 24 kg*m) / 10 kg
Now, we can set the y-coordinate of the center of mass equal to 4.5 m and solve for x_cm:
4.5 m = (8 kg * 3 m + 10 kg * x2) / (8 kg + 10 kg)
Simplifying:
4.5 m = (24 kg + 10 kg * x2) / 18 kg
Multiplying both sides by 18 kg:
81 kg*m = 24 kg + 10 kg * x2
Subtracting 24 kg from both sides:
10 kg * x2 = 81 kg*m - 24 kg
Dividing both sides by 10 kg:
x2 = (81 kg*m - 24 kg) / 10 kg
Simplifying:
x2 = 8.1 m - 2.4 m
x2 = 5.7 m
(brainlest?) ples:(
Answer:
the 10 kg mass should be placed at x = -2.4 m to achieve a center of mass at y = 4.5 m.
Explanation:
To find the position along the x-axis where the 10 kg mass should be placed so that the center of mass is located at y = 4.5, we can use the principle of the center of mass.
The center of mass of a system is given by the equation:
x_cm = (m1x1 + m2x2) / (m1 + m2),
where x_cm is the x-coordinate of the center of mass, m1 and m2 are the masses, and x1 and x2 are the positions along the x-axis.
Given:
m1 = 8 kg,
x1 = 3 m,
m2 = 10 kg,
y_cm = 4.5 m.
To solve for x2, we need to find the x-coordinate of the center of mass (x_cm) by using the y-coordinate:
y_cm = (m1y1 + m2y2) / (m1 + m2),
where y1 and y2 are the positions along the y-axis.
Rearranging the equation and substituting the given values:
4.5 = (83 + 10y2) / (8 + 10).
Simplifying the equation:
4.5 = (24 + 10*y2) / 18.
Multiplying both sides by 18:
81 = 24 + 10*y2.
Rearranging the equation:
10*y2 = 81 - 24,
10*y2 = 57.
Dividing both sides by 10:
y2 = 5.7.
Therefore, the y-coordinate of the 10 kg mass should be 5.7 m.
To find the x-coordinate of the 10 kg mass, we can use the equation for the center of mass:
x_cm = (m1x1 + m2x2) / (m1 + m2).
Substituting the given values:
x_cm = (83 + 10x2) / (8 + 10).
Since the center of mass is at x_cm = 0 (the origin), we can solve for x2:
0 = (83 + 10x2) / (8 + 10).
Rearranging the equation:
83 + 10x2 = 0.
24 + 10*x2 = 0.
10*x2 = -24.
Dividing both sides by 10:
x2 = -2.4.
24. A body A rests on a smooth horizontal table. Two bodies of mass 2 kg and 10 kg hanging freely, are attached to A by strings which pass over smooth pulleys at the edges of the table. The two strings are taut. When the system is released from rest, it accelerates at 2 m/s2 . Find the mass of A.
The two strings are taut. When the system is released from rest, it accelerates at 2 m/s2 then, Mass of A = 8m/5 kg.
Let the mass of the body A be ‘m’.
The two strings are taut so they exert a tension ‘T’ on body A.
Let ‘a’ be the acceleration produced in the system.
The free body diagram of body A is given below: mA + 2T = mA + ma = mA + m(2)mA + 10T = mA + ma = mA + m(2)
As the two strings are taut, we can say that tension in both strings is equal.
Therefore 2T = 10T or T = 5T As the body A is resting on a smooth horizontal table, there is no friction force acting on the body A.
The net force acting on body A is the force due to tension in the strings. ma = 2T – mg …(1)
As per the given problem, the system is released from rest.
Hence the initial velocity is zero.
Also, we are given that the system accelerates at 2 m/s2.
Therefore a = 2 m/s2 …(2)
From the equations (1) and (2), we get, m(2) = 2T – mg …(3)⇒ m(2) = 2×5m – mg⇒ 2m = 10m – g⇒ g = 8m/5
Thus, the mass of A is 8m/5 kg.
Answer: Mass of A = 8m/5 kg.
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if it fits snugly between the fixed walls before it is loaded, determine the reaction at wall a when it is subjected to the load shown.
Therefore the reaction force at wall A is -W.
What is reaction ?Reaction is an action in response to a stimulus or event. It can be an emotional, physical, or mental response that occurs in the body and mind. When something happens, the body and mind react to it. For example, when someone hears a loud noise, they will usually flinch, jump, or take a deep breath. Reaction is a natural response to stimuli and can be both positive and negative. It can be as simple as feeling a slight smile when someone compliments you or as complex as feeling fear when faced with a dangerous situation. Reactions vary depending on the individual, their upbringing, and their environment.
Assuming the weight of the item is W and the reaction force at wall A is R, then the equation of equilibrium is:
W + R = 0
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How fast must a 2500-kg elephant move to have the same kinetic energy as a 67.0-kg sprinter running at 15.0 m/s
Answer:
2.45 m/s
Explanation:
kinetic energy = 1/2 * m * v^2
then, 0.5 * 2500 * x^2 = 0.5 * 67 * 15^2
by solving for x, X = 2.45 m/s
A factory has a monthly operation cost of $280. The graph below shows the total cost, C, for manufacturing x items in a month. What is the cost of manufacturing 29 items in one month?
The cost of manufacturing 29 items in one month is $860.
What is the cost of manufacturing 29 items?
The cost of manufacturing 29 items is calculated by applying the following;
Total cost = operation cost + cost per unit item
The cost per unit item is calculated from the slope of the given graph as shown below;
slope = ( 400 - 300 ) / ( 6 - 1 )
slope = ( 100 ) / ( 5 )
slope = $ 20 / item
Total cost of 29 items = $280 + ( $20 x 29 )
Total cost of 29 items = $860
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A thin half ring with a radius of R = 10 cm is uniformly charged with a linear density of = 1 Mikrokulon/m and located in a vacuum. Determine the force F of interaction between the half ring and a point charge q = 20 nC located at the center of curvature. (don't use chatgpt please)
Answer:
Explanation:
F = k * q * lambda * R * π * (1 - √2/2)
Substituting the given values of q, lambda, R, and k, we get:
F = (9 x 10^9 N*m^2/C^2) * (20 x 10^-9 C) * (1 x 10^-6 C/m) * (0.1 m) * π * (1 - √2/2)
F ≈ 8.58 x 10^-4 N
Therefore, the force of interaction between the half ring and the point charge is approximately 8.58 x 10^-4 N.
30 POINTS - the cone moves with simple harmonic motion and it emits
The cone emits a single-frequency sound of 100 Hz and moves in a straightforward harmonic manner. The cone moves a maximum of 2.0 millimetres when it is making a loud sound.
What moves with simple harmonic motion?Simple harmonic motion is a particular type of periodic motion of a body that arises from a dynamic equilibrium between an inertial force that is proportional to the acceleration of the body away from the static equilibrium position and a restoring force on the moving object that is directly proportional to the magnitude of the object's displacement and acts towards the object's equilibrium position.
In mechanics and physics, SHM is sometimes used to refer to this motion. If friction or any other energy dissipation is not present, it leads to an oscillation that is represented by a sinusoid and that lasts indefinitely.
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Which of the following diagrams shows the greatest magnitude net torque with a zero net force? All the rods, of length 2r, rotate about an axis that is perpendicular to the rod and fixed in the center of the rod. All the forces are of magnitude F or 2F and all distances from the axis are r or r/2.
The diagram that shows the greatest magnitude net torque with a zero net force is the diagram in second option.
option B is the correct answer.
What is net torque?
The net torque is the sum of the individual torques. The torque itself is obtained from the product of applied force and the perpendicular distance of the force.
In rotational equilibrium, there is no net torque on the object. There may be individual torques, but they add up to zero and cancel each other out.
Mathematically, the formula for torque is given as;
τ = Fr
where;
F is the applied forcer is the perpendicular distanceThe torque applied to an object increases with increase in the perpendicular distance.
To obtain a zero net force, sum of all the opposite forces applied to an object must be equal to zero.
The forces must be equal in magnitude but opposite in direction, and the diagram that meets this specification is the last graph.
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Which of the following best describes acceleration?
Answer:
Increasing speed
Explanation:
Why have human beings not yet traveled to the stars to seek other habitable worlds?
Answer:
Most planets don't fit in the habitable zone which Earth resides in
Explanation:
The planet needs to be a certain distance from the sun and it must have certain requirements for a planet to be considered habitable.
We live lightyears away from the nearest habitable planet, hence the reason why we havent travelled the the stars because space is mostly an abyss of emptiness
What bet force is required to stop a 2250 kg car if the decelerates at a rate of -4.3 m/s^2 please answer fast
Answer:
Force = Mass × Acceleration
\({ \tt{force = 2250 \times 4.3}} \\ = { \tt{9675 \: newtons}}\)
4. Which of the following accurately pairs the part of an atom to its charge?
O A. Neutron-positive charge
O B. Electron-negative charge
O C. Proton-no charge
O D. Electron-no charge
Answer:
B Electrons are negatively charged while protons are positively charged
Which is one feature of tropical wet-dry climates that tropical wet climates do not have?
savannas
rainforests
year-round rain
no change of seasons
Answer : A Savannas
Answer:
a
Explanation:
What is the best description of the function of stars?
Stars are the recycling centers of the universe.
Stars are the light bulbs of the universe.
Stars are the batteries of the universe.
Stars are the motors of the universe.
Answer:
Stars are the light bulbs of the universe.
Answer:
Stars are the recycling centers of the universe
Explanation:
I just did on edge C
Recall specific heat of water is 4186 j/kg/C. Find the specific heat of sample.
Water. Sample
Mass 109 192
Internal temperature. 21. 67
Final temperature. 30.1. 30.1
Answer:
Shown by explanation;
Explanation:
The heat of the sample = mass ×specific heat capacity of the sample × temperature change(∆T)
Assumption;I assume the mass of the samples are : 109g and 192g
∆T= 30.1-21=8.9°c.
The heat of the samples are for 109g are:
0.109 × 4186 × 8.9 =4060.84J
For 0.192g are;
∆T= 67-30.1-=36.9°c
0.192 × 4186×36.9=29656.97J
You find an old book and decide to estimate the thickness of one of the sheets or leafs. Neglecting the front and back cover, if all the sheets of book are 3 inches thick, and has 1024 marked pages (numbered 1 to 1024), what is the approximate thickness of the sheet in units of mm.
Explanation:
There are 1024/2 = 512 SHEETS (each is numbered on two sides)
3 inches * 25.4 mm/inch / 512 sheet = .1488 mm per sheet
1. Bob is an engineering student who has designed a bridge made completely out of steel. The bridge is 900 m long at the lowest recorded temperature in the area T = -30 °C. Bob knows that the coefficient of linear expansion for steel is α = 12 x 10-6 °C-1. If the highest recorded temperature in the area is T = 30 °C, how much should Bob expect the bridge to expand?
2. Bob built a scale model of the bridge that is 1.500 m long at the lowest temperature (T = -30 °C) using an unknown material. When the temperature reaches the highest value (T = 30 °C), he measures again the length of the bridge finding that it has expanded ΔL = 1.08 mm. Calculate the coefficient of linear expansion and find the material Bob used to make his model.
1. Using the coefficient of linear expansion for steel, Bob can expect the bridge to expand by approximately 0.648m.
2. The coefficient of linear expansion for the unknown material in Bob's scale model is approximately 1.2 x\(10^-^5\) °\(C^-^1\). Comparing this value to known materials allows Bob to identify the material used.
1. To calculate the expected expansion of the bridge made of steel, we can use the formula:
ΔL = α * L * ΔT
where ΔL is the change in length, α is the coefficient of linear expansion, L is the initial length, and ΔT is the change in temperature.
Coefficient of linear expansion for steel (α) = 12 x \(10^-^6\) °\(C^-^1\)
Initial length of the bridge (L) = 900 m
Change in temperature (ΔT) = (30 °C) - (-30 °C) = 60 °C
Substituting the values into the formula:
ΔL = (12 x\(10^-^6\) °\(C^-^1\)) * (900 m) * (60 °C)
ΔL = 0.648 m
Therefore, Bob should expect the bridge to expand by approximately 0.648 m.
2. To calculate the coefficient of linear expansion for the unknown material used in Bob's scale model, we can use the formula:
α = ΔL / (L * ΔT)
Given:
Initial length of the model (L) = 1.500 m
Change in length of the model (ΔL) = 1.08 mm = 0.00108 m
Change in temperature (ΔT) = (30 °C) - (-30 °C) = 60 °C
Substituting the values into the formula:
α = (0.00108 m) / (1.500 m * 60 °C)
α ≈ 1.2 x \(10^-^5\) °\(C^-^1\)
Therefore, the coefficient of linear expansion for the unknown material in Bob's scale model is approximately 1.2 x \(10^-^5\)°\(C^-^1\). By comparing this value to known materials, Bob can determine the material he used to make the model, as different materials have different coefficients of linear expansion.
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If an elevator accelerates upward at 10 ms−2 , what is the average blood pressure in the brain? What is the average blood pressure in the feet? If the elevator accelerates downward with the same acceleration, what is the average blood pressure in the brain and feet? take g = 10
The average blood pressure in the brain will be higher than the average blood pressure in the feet. the average blood pressure in the brain will be lower than the average blood pressure in the feet.
When the elevator accelerates upward at \(10 ms^{-2}\), the blood pressure in the brain and feet of a person changes.
Similarly, when the elevator accelerates downward with the same acceleration, the blood pressure in the brain and feet of a person changes.
Let's discuss them one by one:Blood Pressure When Elevator Accelerates Upward at \(10 ms^{-2}\)
When the elevator accelerates upward at \(10 ms^{-2}\), the blood pressure in the brain of a person increases, while the blood pressure in the feet of a person decreases.
This happens due to the gravitational force acting on the body.
Since the gravitational force on the head is greater than the gravitational force on the feet, the blood pressure in the brain increases while the blood pressure in the feet decreases.
Therefore, the average blood pressure in the brain will be higher than the average blood pressure in the feet.
Blood Pressure When Elevator Accelerates Downward at \(10 ms^{-2}\) When the elevator accelerates downward at \(10 ms^{-2}\), the blood pressure in the brain of a person decreases, while the blood pressure in the feet of a person increases.
This also happens due to the gravitational force acting on the body. Since the gravitational force on the head is less than the gravitational force on the feet, the blood pressure in the brain decreases while the blood pressure in the feet increases.
Therefore, the average blood pressure in the brain will be lower than the average blood pressure in the feet.
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Which is larger: 65 mph (miles per hour) or 120 kph (kilometers per hour)? As a percentage, how much faster is one than the other?
To Find :
Which is larger: 65 mph (miles per hour) or 120 kph (kilometers per hour).
Solution :
We know, 1 mph = 1.61 kph
So, 65 mph = 1.61 × 65 kph
65 mph = 104.65 kph
Since, 65 mph is 104.65 kph which is smaller than 120 kph.
Therefore, 120 kph is faster than 65 mph by ( 120 - 104.65 ) = 15.35 kph.