n electromagnetic wave is traveling in a vacuum. The magnetic field is given by (z,t)=(1.00x10−8T)cos(kz−6.28x108t)i^.

(a) Find the frequency of the wave.

(b) Find the wavelength.

(c) What is the direction of propagation of this wave?

(d) What is the wave number of the wave (kk)?

(e) Find the electric field vector →E→(z,t).

(f) Calculate the average energy density of the wave.

(g) Calculate the average intensity of the wave.

Answers

Answer 1

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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Related Questions

a set of related measures or activities with a particular long term aim​

Answers

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.

Answers

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?

A sound wave travels from air into a swimming pool. How does its speedchange?

Answers

it travels slower is the answer. hope this helps!!

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

Answers

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​

Answers

Answer:

it could be 32 cm/sec the answer

true or false: destructive interference is the result of superposition of waves in phase.

Answers

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

Answers

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?

Answers

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.

Answers

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.

Answers

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.

Answers

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.

Please rate this 5 stars and brainliest if you find it helpful.

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

Answers

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

Answers

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 bumblebee

The 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

Answers

The answer is Both A and 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

Answers

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???

Answers

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.​

Answers

okay slay 10 in blade

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​

Answers

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!

Answers

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

Answers

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

Answers

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

i need the answers please as soon as possible

Answers

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 graph shows a train traveling between two stations. Select what you think is the best interpretation

Answers

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?

Answers

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

Answers

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.

Answers

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.

Answers

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| ?

Answers

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

Answers

Answer:

true

Explanation:

The correct answer would be true: Inertia causes a moving object to stay in motion

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)?

Answers

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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Gaseous butano (CH,(CH),CH) will react with gaseous oxygen (0) to produce gaseous carbon dioxide (CO2) and goseous woter (11,0). suppose20.9 g of butane is mixed with 54, 9 of oxypen. Calculate the minimum mass of butone that could be left over by the chemical reaction. Be sure your answerhas the correct number of significant digits. What is x+3y 3Help? PLEASEEEEE HELPPPPP ASAP an isosceles triangle has one angel that measure 30 degree what is the measure of the other two angles that are equal? Activity: Cities of the Tundra Locate three cities in Russia's tundra climate zone. List the average temperatures for the winter months of November, December, and JanuaryList the average temperatures for the summer months of June , July, and August . Juan tiene que salir de su casa a estrenar futbol 20 minutos antes de las 4 PM. Escribe 4 formas diferentes de decir esa hora A physics professor demonstrates the Doppler effect by tying a 450Hz sound generator to a 1.0m-long rope and whirling it around her head in a horizontal circle at 100rpm .A. What is the difference between the highest frequency heard by a student in the classroom and the initial frequency of the sound generator? Express your answer with the appropriate units.B. What is the difference between the lowest frequency heard by a student in the classroom and the initial frequency of the sound generator? Express your answer with the appropriate units. Which of the following ideals does the Declaration of Independence address the most:Equality, rights, Liberty, Opportunity or democracy? Which of the following statements best explains why some of the offspringhave white flowers? 7+5x>-13.............. Suppose a 5 x 9 matrix A has five pivot columns. Is Col A= R^5? Is Nul A= R^4? Explain your answers. Is Col A = R^5? Explain your answer. Choose the correct answer and reasoning below. A. Yes, because there are five pivot columns in A. These columns form a basis in five dimensions. Any 5-dimensional basis spans R^5. B. No, Col A = R^4. The number of pivot columns is equal to the dimension of the null space. Since the sum of the dimensions of the null space and column space equals the number of columns in the matrix, the dimension of the column space must be 4. Since any 4-dimensional basis is equal to R^4, Col A= R^4. C. Yes, because the column space of a 5x9 matrix is a subspace of R^5. There is a pivot in each row, so the column space is 5-dimensional. Since any 5-dimensional subspace of RS is R^5, Col A= R^5. D. No, because a 5x9 matrix exists in R. If its pivot columns form a 5-dimensional basis, then Col A is isomorphic to R^5 but is not strictly equal to R^5. Pre-historic paintings were found inside the caves In this graph, what are the independent and dependent variables? The text identifies several traits the lead to positive relationships outcomes and several that lead to negative relationship outcomes. Identify the one trait you believe is most important for a positive relationship outcome and the one trait you believe that is most important for negative relationship outcomes and explain why you selected these traits. Find the amount of increase if 580 is increased by 10%. WILL GIVE BRAINLIEST (c) 3 pts. In order to stop the evil Magneto, Jean Grey needs to fly fromrest on the ground to the top of the Statue of Liberty (46 m) in 2.0seconds. What is her minimum average acceleration during herascent? Assume constant acceleration for the entire distance and thatshe does not decelerate near the top. Record the etymology of biometric Define biometric, relating it to the etymology Relate biometrics to identify thief Explain the role that body systems, organs, cells or tissues play in identity What type of boundary exists at letter b? How many acute angles are in triangle ABC? Write 125 as a power of 5.