The electromagnetic wave's properties are as follows:
(a) The frequency of the wave is \(6.28\times10^8\) Hz.
(b) The wavelength of the wave is 0.01 meters.
(c) The wave propagates in the direction of the positive z-axis.
(d) The wave number (k) is 628 rad/m.
(e) The electric field vector E(z,t) is given by \((1.00\times10^{-8} T) cos(kz-6.28\times10^8 t) j^\).
(f) The average energy density of the wave is \(1.00\times10^{-16} J/m^3\).
(g) The average intensity of the wave is \(5.00\times10^{-9} W/m^2\).
What are the properties and characteristics of the given electromagnetic wave in a vacuum?The electromagnetic wave described has a frequency of \(6.28\times10^8\) Hz and a wavelength of 0.01 meters. It propagates in the positive z-axis direction. The wave number (k) is calculated to be 628 rad/m.
The electric field vector E(z,t) is perpendicular to the direction of propagation and can be written as \((1.00\times10^{-8} T) cos(kz-6.28\times10^8 t) j^\).
The average energy density of the wave is \(1.00\times10^{-16}\ J/m^3\), representing the energy per unit volume.
The average intensity of the wave is \(5.00\times10^{-9}\ W/m^2\), indicating the power per unit area.
Electromagnetic waves consist of oscillating electric and magnetic fields that propagate through space.
The frequency and wavelength determine the wave's properties, such as its energy and propagation characteristics.
The direction of propagation, wave number, electric field vector, energy density, and intensity provide insights into the wave's behavior and interactions with its surroundings.
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a set of related measures or activities with a particular long term aim
Answer:
program explanation
Explanation:
program explanation
The set of activities having a long-term aim should be a program.
What is the program?A program refers to a set of instructions that a computer follows in order to perform a specific task. At the time When you program a computer, you provide it a set of instructions to make it able to perform a particular task.
So here the program should be considered.
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Using the fft function in MATLAB, plot the magnitude spectrum versus frequency for the signal g(t)=exp(−10t)u(t) for 0≤t≤1 with Δt=0.01. Determine the number of points in the signal. Use 450 zeros for precede and trail and determine the period T. B. Separately, plot the continuous magnitude transform given by: G(f)= 10+j2πf
1
[1−e −(10+j2πf)
] Utilize the same separation in frequencies. C. Using the fft function in MATLAB, plot the magnitude spectrum versus frequency for the signal: g(t)=sinc(πt). Assume Δt=0.01, and use 450 zeros for precede and trail and determine the period T.
The magnitude spectrum versus frequency for the signal g(t) = exp(-10t)u(t) and the continuous magnitude transform, and to determine the number of points in the signal and the period, the provided MATLAB code can be used.
A. To plot the magnitude spectrum versus frequency for the signal g(t) = exp(-10t)u(t) for 0 ≤ t ≤ 1 with Δt = 0.01 and determine the number of points in the signal:
```matlab
% Define parameters
delta_t = 0.01; % Sampling interval
t = 0:delta_t:1; % Time vector
g = exp(-10*t).*(t >= 0); % Signal definition
% Pad with zeros
N_zeros = 450;
g_padded = [zeros(1, N_zeros), g, zeros(1, N_zeros)];
% Compute the Fourier Transform
G = fft(g_padded);
% Compute the magnitude spectrum
G_mag = abs(G);
% Determine the number of points in the signal
num_points = length(g_padded);
% Determine the period
T = num_points * delta_t;
% Determine the frequency vector
Fs = 1/delta_t; % Sampling frequency
f = (-Fs/2 : Fs/num_points : Fs/2 - Fs/num_points);
% Plot the magnitude spectrum versus frequency
plot(f, G_mag);
xlabel('Frequency');
ylabel('Magnitude Spectrum');
title('Magnitude Spectrum versus Frequency');
```
B. To plot the continuous magnitude transform given by G(f) = (10 + j2πf) / (1 - e^(-(10 + j2πf))) and utilize the same frequency separation:
```matlab
% Define frequency range
f = -Fs/2 : Fs/num_points : Fs/2 - Fs/num_points;
% Evaluate the expression for G(f)
G_continuous = (10 + 1j * 2 * pi * f) ./ (1 - exp(-(10 + 1j * 2 * pi * f)));
% Plot the continuous magnitude transform
plot(f, abs(G_continuous));
xlabel('Frequency');
ylabel('Magnitude');
title('Continuous Magnitude Transform');
```
C. To plot the magnitude spectrum versus frequency for the signal g(t) = sinc(πt) assuming Δt = 0.01 and determine the period T:
```matlab
% Define parameters
delta_t = 0.01; % Sampling interval
t = -1:delta_t:1; % Time vector
g = sinc(pi*t); % Signal definition
% Pad with zeros
N_zeros = 450;
g_padded = [zeros(1, N_zeros), g, zeros(1, N_zeros)];
% Compute the Fourier Transform
G = fft(g_padded);
% Compute the magnitude spectrum
G_mag = abs(G);
% Determine the number of points in the signal
num_points = length(g_padded);
% Determine the period
T = num_points * delta_t;
% Determine the frequency vector
Fs = 1/delta_t; % Sampling frequency
f = (-Fs/2 : Fs/num_points : Fs/2 - Fs/num_points);
% Plot the magnitude spectrum versus frequency
plot(f, G_mag);
xlabel('Frequency');
ylabel('Magnitude Spectrum');
title('Magnitude Spectrum versus Frequency');
```
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A sound wave travels from air into a swimming pool. How does its speed
change?
Answer:
It is b
Explanation:
A 500 N weight is hung at the middle of a rope attached to two buildings at the same level. If the breaks in the tension exceed 1800 N, what is the minimum angle the rope can make with the horizontal? Group of answer choices 4o 8o 11o 18o
Answer:
The correct choice is 8o.
Explanation:
The given weight is hanging at the mid point of the rope and the buildings are at the same level, Obtain the given equation by equating the vertical components of force,
2Tsin(φ)=W
where φ is the angle made by rope with the horizontal.
Given T=1800 N and W=500 N, the value of φ is calculated as follows,
2*1800*sin(φ)=500
sin(φ)=0.1388
φ=7.90
φ≈8o
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What is the speed of a wave that has a wavelength of 1,480 m and a frequency of 486 Hz? 28 cm/sec
Answer:
it could be 32 cm/sec the answer
true or false: destructive interference is the result of superposition of waves in phase.
False. Destructive interference is not the result of the superposition of waves in phase. Superposition is a term used to describe the phenomenon that occurs when two waves meet and combine to form a new wave.
The waveforms add together to create the new waveform, which has characteristics that are determined by the properties of the original waves.What is destructive interference?When waves meet and their waveforms are out of phase, destructive interference occurs. The amplitude of the resulting waveform is decreased, and the resulting waveform has a different shape than either of the original waveforms. Destructive interference, also known as out-of-phase interference, occurs when two waves meet and cancel each other out. When the waves are in phase, they combine to form a larger waveform with greater amplitude than either of the original waveforms. This is known as constructive interference.To conclude, destructive interference is not the result of the superposition of waves in phase. It occurs when two waves are out of phase and combine to create a new waveform that has a smaller amplitude than either of the original waveforms.
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Witch action is designed to increase the safety of a person carrying a microscope from one place to another
Answer: Microscope is an instrument that is used for observing micro particles, cells, and nanosized particles.
Explanation:
Placing one hand below the stage of the microscope and other hand must be used to hold the arm of the microscope. This facilitates the safety of the microscope as it will provide support to the entire structure of the microscope and also to the lens and mirrors attached to the structure of the microscope. If any of the part get damaged or lost during carrying it will affect the overall functioning of the microscope.
Answer:
wrapping the electrical cord around the arm of the microscope
Explanation:
just took the test
In which year did Canadian women win the right to vote in elections?
Canadian women won the right to vote in federal elections in the year 1918.
This was a significant moment in Canadian history as it marked a turning point in the fight for women's suffrage. Prior to this, women were not allowed to vote or participate in the political process. However, with the passing of the Canadian Elections Act, women over the age of 21 who were British subjects or wives of British subjects were granted the right to vote. This was a major victory for the suffragette movement in Canada and paved the way for greater gender equality in the country. Today, women's participation in elections and politics is encouraged and celebrated, and the right to vote is seen as a fundamental aspect of democratic societies.
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In the universe there are more small stars than large stars. Do you think there are more white dwarfs or black holes? Explain your answer.
Answer: black holes
Explanation:
An electric current can be generated in a wire in a circuit when at least part of the wire ____________.is coated in plastic.is made of aluminum.moves through and cuts magnetic field lines.is not moving.
Answer:
Explanation:
When a coil of wire is moved around a magnet, it induces electrons into the wire and creates electric current. Thus, the correct option is
moves through and cuts magnetic field lines
In 1-2 sentences, summarize what can be said about the force produced by the engine in Rocket A compared to Rocket B, based on Newton’s Second Law of Motion.
Hello,
I hope you and your family are doing well!
Newton's Second Law of Motion states that the force produced by an engine is equal to the mass of the rocket times its acceleration. The greater the force produced by the engine, the greater the acceleration of the rocket.
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Happy Holidays!
A 250g object hangs from a spring that has a spring constant of 48.0 N/m and oscillates with an amplitude of 5.42cm
1)The magnitude of the objects acceleration when the displacement is 4.27 cm (down) is __ m/s^2
2)Given that the object has an amplitude of 5.42 cm the maximum speed that the object is __m/s
Explanation:
Given that,
Mass of an object, m = 250 g = 0.25 kg
Spring constant, k = 48 N/m
The amplitude of the oscillation, A = 5.42 cm = 0.0542 m
1. At equilibrium,
ma = kx
Where
a is the acceleration of the object
So,
\(a=\dfrac{kx}{m}\\\\a=\dfrac{48\times 0.0542}{0.25}\\\\a=10.4\ m/s^2\)
2. The maximum speed of the object is :
\(v=A\omega\\\\v=A\sqrt{\dfrac{k}{m}}\\\\v=0.0542\times \sqrt{\dfrac{48}{0.25}}\\\\v=0.75\ m/s\)
Hence, this is the required solution.
please helps i need help xC
a bumblebee is flying towards a flower in a straight line at 4.09 m/s when it begins to accelerate at 1.01 m/s^2 how long does it take the bee to reach the flower if its 23.4 meters away
The time taken for the bumblebee to the reach the flower is 3.87 s.
What is the time of motion of the bumblebee?
The time taken for the bumblebee to the reach the flower that is 23.4 m away is calculated by applying the following equation as shown below.
s = vt + ¹/₂at²
where;
t is the time of motion of the bumblebeev is the initial velocity of the bumblebeea is the acceleration of the bumblebees is the distance travelled by the bumblebeeThe time taken for the bumblebee to the reach the flower is calculated as;
23.4 = 4.09t + ¹/₂(1.01)t²
23.4 = 4.09t + 0.505t²
0.505t² + 4.09t - 23.4 = 0
solve for t using formula method,
t = 3.87 seconds
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What can cause matter to change from one state to another?
a change in its temperature
a change in its pressure
both a and b
neither a nor b
If a rock has a speed of 12 m/s as it hits the ground, from what height did it
fall, assuming its initial speed was zero? Its mass is 50 kg.
A. 600 m
B. 4.2 m
C. 12 m
D. 7.3 m
Answer:
To find the height the following formula should be used:
v 2 = u 2 + 2aH
Explanation:
Assuming this occurs on earth, a= 9.8 ms -2
-2 2
12=0+2 x9.8 x H
144
_______ =H
2 x 9.8
H= 7.35m
What is the formula for velocity???
Explanation:
divide the distance by the time it takes to travel that same distance, then add your direction to it.
Or change in displacement divided by change in time.
The thickness of a 10 in, blade is usually reduced by about gauges.
a car travels from station A to B at 30kmph during its return trip A it travels 30 km pH for the first half distance and it 70 kmph for half next half distance find the average speed of the car
Explanation:
If you cannot visualize it, just assume that the distance from station A to B is 420km. Each half is 210km.
When the car travels from A to B, it takes 420/30 = 14 hours.
When the car travels from B to the halfway point, it takes 210/30 = 7 hours.
When the car travels from the halfway point to A, it takes 210/70 = 3 hours.
Total time taken = 14 + 7 + 3 = 24 hours.
Total distance = 420km * 2 = 840km.
Hence, the average speed of the car is 840/24 = 35km/h.
I am having a bit of difficulty with this lab question:
_________________________________________
The passage of an occluded front may be accompanied by widespread precipitation and little temperature change at ground level. This is because occluded fronts are a combination of (1). [one / two / three] cold/cool air mass(es), which shifts a (2). [cold / warm / hot] air mass (3). [aloft / sideways / downwards].
_________________________________________
Currently, I have my answers as follows:
1. two cool/cold air masses
2. warm
3. downwards
Could someone help me out and let me know if I am correct? Thanks!
This is due to the fact that occluded fronts combine two cold air masses, which causes one of the cold air masses to go downward.
When a warm air mass is sandwiched between two cold air masses, an occluded front occurs. In an occlusion, the warm front passes over the cold front, which dives beneath it.
In a front is obscured, the warm front is fully supplanted by the cold front, in which the warm air masses have completely disappeared. Furthermore, there are frequent shifts in the various weather producing circumstances because of the cold front's relatively low temperature.
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The amount of lateral strain in a tension member can be calculated using OA the coeficient of expansion B the moment of inertia OCthe yield stress OD Poisson's rati
The amount of lateral strain in a tension member can be calculated using Poisson's ratio.
To calculate the lateral strain, we can use the equation: ε_lateral = -ν * ε_longitudinal
Where:
ε_lateral = Lateral strain
ν = Poisson's ratio
ε_longitudinal = Longitudinal strain
Poisson's ratio (ν) is a material property that describes the ratio of lateral strain to longitudinal strain when a material is subjected to an axial load. It is defined as the negative ratio of the transverse strain to the longitudinal strain.
Calculating the lateral strain involves determining the longitudinal strain, which can be calculated using the equation:ε_longitudinal = ΔL / L
Where:
ε_longitudinal = Longitudinal strain
ΔL = Change in length of the tension member
L = Original length of the tension member
Once the longitudinal strain is calculated, we can use Poisson's ratio to determine the lateral strain by multiplying the longitudinal strain by the negative value of Poisson's ratio.
It is important to note that the lateral strain is typically very small compared to the longitudinal strain in a tension member, especially for materials with a low Poisson's ratio.
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Use the following quote to answer the question.
"The legislative power of the state shall be vested in a legislature of the State of Florida, consisting of a senate composed of one senator elected from each senatorial district and a house of representatives composed of one member elected from each representative district."
The quote above
mandates one executive to serve from each district
describes the section of a state government that makes the laws
selects one person from each state to serve the legislature
explains the organization of a national legislatur
Answer:The quote above describes the section of a state government that makes the laws. This section, more commonly called "body" or "branch," refers to the legislature of the State of Florida. The quote indeed describes the structure of the legislature of a State. In the U.S., all 50 states have legislatures, and all of them, except for Nebraska, have a bicameral Congress consisting of a Senate and a House of Representatives; Furthermore, besides passing legislation, state legislatures also have other governing functions such as approving a state's budget and initiating tax legislation and articles of impeachment.
Explanation: which is b
Answer:
answer is B
Explanation:
to make the text easier :
A legislature of the State of Florida, consisting of a senate formed of one senator elected from each senatorial district and a house of representatives composed of one member chosen from each representative district, shall have legislative power.
i need the answers please as soon as possible
Answer: I'm pretty sure that you just have to make sure that all of the elements have the same charge on both sides.
Explanation: Example: 2CO2+ 4CO2----- C6O10
The graph shows a train traveling between two stations. Select what you think is the best interpretation of the graph.
Help in the explanation too
The best interpretation from the graph can be train speed up for 3 minutes, travelled at a steady speed for 2 minutes then speed up again.
What is speed?Speed is defined as change in position of the body with respect to time or distance travelled by body per unit time is known as speed. Speed is a scalar quantity it have only magnitude.
Given graph in the question position or distance vs time initially the train is moving speed up for three seconds after that for two minutes train is moving with steady state, speed is not changing during this time after that train again speed up till end.
By looking at graph best interpretation is initially train speed up for 3 minutes, travelled at a steady speed for 2 minutes then speed up again.
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light with a wavelength of 660 nm passes through two slits that are 0.26 mm apart and then lands on a screen that is 0.9 meters from the slits. the first bright fringe is located in the center of the screen. what is the distance on the screen to the first dark fringe?
The distance on the screen to the first dark fringe is 2.28 x 10^ -2 m
Given that a light with a wavelength of 660 nm passes through two slits that are 0.26 mm apart and then lands on a screen that is 0.9 meters from the slits and the first bright fringe is located in the center of the screen.
We need to find the distance on the screen to the first dark fringe.
Consider the wavelength to be λ is 660 nm
The splits are separated by a distance d is
Length away from the slits L is
From the Young's double slit equation,
\(y_{m}\) = λL/d
\(y_{m}\) = (660 x 10^-9 m) (0.9 m) / (0.26 x 10 ^ -4 m)
\(y_{m}\) = 2.28 x 10^ -2 m
Hence, the distance on the screen to the first dark fringe is 2.28 x 10^ -2 m
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What is the ratio of the distance to the nearest galaxy to the diameter of the Milky Way Galaxy? This is typical of the distances between galaxies as compared to their diameters.dGdMW
The ratio of the distance to the nearest galaxy to the diameter of the Milky Way Galaxy is 25.37.
The distance to the nearest galaxy, Andromeda, is about 2.537 million light-years, while the diameter of the Milky Way Galaxy is about 100,000 light-years.
To find the ratio of the distance to the nearest galaxy to the diameter of the Milky Way Galaxy, we can simply divide such measures:
Ratio = distance to Andromeda / diameter of Milky Way Galaxy
Ratio = 2,537,000 light-years / 100,000 light-years
Ratio = 25.37
Therefore, the ratio between the above distances is 25.37. This means that the distance between galaxies is typically about 25 times greater than their diameters.
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A 30-cm-long, 10-cm-diameter solenoid creates the uniform magnetic field for an experiment in which electrons undergo cyclotron motion with a frequency of 650 MHz. The solenoid has 2500 turns of wire.
The magnetic field created by the solenoid is 1.646 T.How can we calculate the magnetic field produced by the solenoid?
How can we calculate the magnetic field produced by a solenoid?The magnetic field produced by a solenoid can be calculated using the formula:
B = μ₀ * n * I
where B is the magnetic field, μ₀ is the permeability of free space (4π × 10^(-7) T·m/A), n is the number of turns per unit length, and I is the current flowing through the solenoid.
Given that the solenoid has 2500 turns of wire and a length of 30 cm (0.3 m), we can calculate the number of turns per unit length:
n = N / L
n = 2500 / 0.3 = 8333.33 turns/m
The frequency of the cyclotron motion is given as 650 MHz, which corresponds to the angular frequency ω:
ω = 2πf
ω = 2π × 650 × 10^6 rad/s
Using the formula for cyclotron frequency ω = qB/m, where q is the charge and m is the mass of the electron, we can solve for the magnetic field B:
B = ω * m / q
B = (2π × 650 × 10^6) * (9.11 × 10^(-31)) / (1.6 × 10^(-19))
B ≈ 1.646 T
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If x² - 3x + 2 is a factor of f(x) = 2x4 + px³ + x² + qx − 12, find the value of p and of q.
Hence, solve f(x) = 0.
The value of p is -14 and the value of q is -24.
2x² + (p+6)x - 6
x² - 3x + 2 | 2x⁴ + px³ + x² + qx - 12
- 2x⁴ + 6x³ - 4x²
-------------------
px³ + 5x² + qx
- px³ + 3x² - 2qx
---------------
8x² + qx - 12
- 8x² + 24x - 16
--------------
qx + 24x - 28
Since the remainder is zero, we can set the last expression equal to zero:
qx + 24x - 28 = 0
Solving for q and p gives:
q = -24
p + 6 = -8
p = -14
The remainder is a mathematical term used to describe the amount left over when a number is divided by another number. For example, when 12 is divided by 5, the remainder is 2, because 12 = 5 x 2 + 2. The remainder can be any whole number between 0 and the divisor, and it represents the amount that could not be evenly divided.
The remainder can be useful in many situations, such as when working with fractions or solving equations. In long division, for example, the remainder is the number left over after dividing the dividend by the divisor, and it can be used to check the answer. In modular arithmetic, the remainder is often used to represent a number in a particular congruence class. For example, in modulo 7 arithmetic, the remainder of 12 divided by 7 is 5, and we would say that 12 is congruent to 5 modulo 7.
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reread hint 1. in hint 3, you found the largest possible acceleration of the box, abox . in hint 5, you found the acceleration of the board, aboard . what is the minimum value of the constant force, fmin , so that |aboard|>|abox| ?
The minimum value of f is approximately 37.45 N.
There are two boxes resting on the floor: the first box weighs 50 N, and the second box weighs 30 N. A plank of mass 10 kg and length 6 m connects the two boxes. Friction can be neglected.
$$a_{total} = \frac{f - m_{board}g}{m_{box_1}+m_{box_2}+m_{board}}$$$$a_{total} = \frac{f - 10\cdot9.81}{50+30+10}$$$$a_{total} = \frac{f - 98.1}{90}$$
$$a_{box_1} = \frac{f}{m_{box_1}}$$$$a_{box_1} = \frac{f}{50}$$We can simplify the expression for the acceleration of the board by making the common denominator of the two accelerations equal:
$$a_{board} = \frac{f - 98.1}{90}$$$$a_{board} = \frac{f}{50} + \frac{f-98.1}{90}$$
Now, we just have to find the minimum value of f so that |aboard|>|abox|.|a_board|>|a_box_1|$$\left|\frac{f}{50} + \frac{f-98.1}{90}\right|>\left|\frac{f}{50}\right|$$$$\left|\frac{f}{50} + \frac{f-98.1}{90}\right| > \left|\frac{f}{50}\right|$$$$\left|\frac{9f + 5(f - 98.1)}{450}\right| > \frac{f}{50}$$$$\left|\frac{14f - 490.5}{450}\right| > \frac{f}{50}$$$$\left|\frac{28f - 981}{900}\right| > \frac{f}{50}$$$$28f - 981 > \frac{9f}{5}$$$$140f - 4905 > 9f$$$$131f > 4905$$$$f > \frac{4905}{131}$$
The minimum value of f is approximately 37.45 N.
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True or false. Objects tend to stay moving because of a force called inertia
Answer:
true
Explanation:
an aluminum plate 0.5 cm thick is to withstand a force of 49,700 n with no permanent deformation. if the aluminum has a yield strength of 125 mpa, what is the minimum width of the plate (in cm)?
Considering the stress, the minimum width of the aluminum plate required to withstand a force of 49,700 N with no permanent deformation is 795.2 cm.
Stress, which is defined as force per unit area, may be used to indicate the aluminum's yield strength. As a result, we can determine the stress that corresponds to the aluminum's yield strength using the formula below:
Stress = yield strength equals 125 MPa or 125 N/cm2.
The aluminum plate's stress cannot be greater than its yield strength to prevent irreversible deformation of the material.
The force applied to the plate's surface may be related to its area using the stress formula:
Stress = force/area
area = 49,700 N / 125 N/cm² = 397.6 cm²
The area of the plate is the product of its width and thickness. Let's assume that the plate has a rectangular shape and solve for the minimum width required to achieve the required area:
area = width x thickness
width = area / thickness
= 397.6 cm² / 0.5 cm
= 795.2 cm
Therefore, the minimum width of the aluminum plate required to withstand a force of 49,700 N with no permanent deformation is 795.2 cm.
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