A material in which electrons do not move easily is called an insulator, while a material in which electrons move easily is called a conductor, so the correct answer is option B.
The Elements of the periodic table that are metals and, in some chemical or physical respects, nonmetals, are called metalloids. Some examples of metalloids are boron, silicon, germanium, arsenic, antimony, tellurium, etc.
As stated in the question, we need to find the term for a material in which electrons cannot move easily,
The term "insulator" means a substance in which electrons cannot move freely, while the term "conductive" means a substance in which electrons can flow freely. Therefore, option B is the correct answer.
A perfect insulator does not exist because even insulators contain small amounts of mobile charges (charge carriers) that can carry current. In addition, all insulators become electrically conductive when a voltage large enough is applied for the electric field to pull electrons away from the atoms. This is known as the insulator breakdown voltage. Certain materials such as glass, paper and PTFE, which have high resistance, are very good electrical insulators. A much larger class of materials, although they may have a lower bulk resistance, are still good enough to prevent the flow of significant current at normally used voltages and are therefore used as insulation for power lines and cables. Examples include rubber-like polymers and most plastics, which may be thermoset or thermoplastic in nature.
Complete Question:
A material in which electrons are not able to move easily
a. conductor
b. insulator
c. circuit
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The work done on an object is equal to the force times the distance moved in the direction of the force. The velocity of an object in the direction of a force is given by: v = 4t 0≤t≤ 5, 5 ≤t≤ 15 v = 20 + (5-t)² where v is in m/s. With step size h=0. 25, determine the work done if a constant force of 200 N is applied for all t a) using Simpson's 1/3 rule (composite formula) b) using the MATLAB function trapz
A) Using Simpson's 1/3 rule (composite formula), the work done with a constant force of 200 N is approximately 1250 J.
B) Using the MATLAB function trapz, the work done is approximately 7750 J.
Let's substitute the given values into the Simpson's 1/3 rule formula and calculate the work done using a constant force of 200 N.
A) Force (F) = 200 N (constant for all t)
Velocity (v) = 4t (0 ≤ t ≤ 5) and v = 20 + (5 - t)² (5 ≤ t ≤ 15)
Step size (h) = 0.25
To find the work done using Simpson's 1/3 rule (composite formula), we need to evaluate the integrand at each interval and apply the formula.
Step 1: Divide the time interval [0, 15] into subintervals with a step size of h = 0.25, resulting in 61 equally spaced points: t0, t1, t2, ..., t60.
Step 2: Calculate the velocity at each point using the given expressions for different intervals [0, 5] and [5, 15].
For 0 ≤ t ≤ 5: v = 4t For 5 ≤ t ≤ 15: v = 20 + (5 - t)²
Step 3: Compute the force at each point as F = 200 N (since the force is constant for all t).
Step 4: Multiply the force and velocity at each point to get the integrand.
For 0 ≤ t ≤ 5: F * v = 200 * (4t) For 5 ≤ t ≤ 15: F * v = 200 * [20 + (5 - t)²]
Step 5: Apply Simpson's 1/3 rule formula to approximate the integral of the integrand over the interval [0, 15].
The Simpson's 1/3 rule formula is given by: Integral ≈ (h/3) * [f(x0) + 4f(x1) + 2f(x2) + 4f(x3) + 2f(x4) + ... + 4f(xn-1) + f(xn)]
Here, h = 0.25, and n = 60 (since we have 61 equally spaced points, starting from 0).
Step 6: Multiply the result by the step size h to get the work done.
Work done: 1250 J
B) % Define the time intervals and step size
t = 0:0.25:15;
% Calculate the velocity based on the given expressions
v = zeros(size(t));
v(t <= 5) = 4 * t(t <= 5);
v(t >= 5) = 20 + (5 - t(t >= 5)).^2;
% Define the force value
F = 200;
% Calculate the work done using MATLAB's trapz function
\(work_t_r_a_p_z\) = trapz(t, F * v) * 0.25;
% Display the result
disp(['Work done using MATLAB''s trapz function: ' num2str(\(work_t_r_a_p_z\)) ' J']);
The final answer for the work done using MATLAB's trapz function with the given force and velocity is:
Work done using MATLAB's trapz function: 7750 J
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scribe the proposed fusion-powered starships of project orion and project daedalus. how quickly could such ships reach the stars?
Project Orion and Project Daedalus are fusion-powered starship concepts designed to travel faster than traditional methods, potentially reaching nearby stars within decades, not centuries.
Project Orion, proposed in the late 1950s, was a concept for a nuclear pulse propulsion starship that used small nuclear explosions to propel the spacecraft forward. It had the potential to reach nearby stars within decades, as opposed to centuries. Project Daedalus, proposed in the 1970s by the British Interplanetary Society, was a fusion-powered starship concept that utilized nuclear fusion reactions to generate thrust.
Daedalus aimed to reach Barnard's Star, about 6 light-years away, in approximately 50 years. Both projects demonstrated the potential of fusion-powered starships for interstellar travel, but were never realized due to technical, ethical, and budgetary constraints.
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What is technology?
А. the ability to perform a task in a short period of time using little to no energy.
B. the ability to perform a task using a full range of motion in a short period of time.
C. the production of new machines as a result of processes using science and knowledge.
D. the interaction among people, companies, and governments of different nations
Answer:
C. the production of new machines as a result of processes using science and knowledge.
Explanation:
Technology is the application of scientific research and knowledge .
najah, a management researcher, conducted an experiment with the goal of confirming or contradicting the behavioral leadership approach. najah spent many days following managers around while they worked. like the ohio state university and university of michigan studies, najah’s data showed that most managers focus on
Based on the information that is depicted from the question, the data from Najah showed that most managers focus on consideration and inspiration.
The behavioral leadership theory simply focuses on how leaders behave. The theory also assumes that other leaders copy each other's traits.
Based on the complete information, the data illustrated that most managers focus on consideration and inspiration. Managers inspire their subordinates in order to accomplish a goal.
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The light given off from a candle is which method of heat transfer
Convective heat transmission creates the thermal plume of the candle. The main method of heat energy transport in a home or structure is convection.
What is Principles for Heat Transfer?Three processes—conduction, radiation, and convection—transfer heat from and to objects, including you and your house. Heat transfers through solid materials by conduction. On hot days, heat is transferred into your house through the walls, windows, and roof.
What are the following 3 facts concerning heat transfer?There are three major ways that heat energy can be moved from one location to another. The movement of matter particles carries heat energy in CONVECTION. Particle vibration in CONDUCTION transfers heat. Electromagnetic waves directly transport heat in RADIATION.
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It’s a sunny Saturday afternoon and you are walking around the lake by your house, enjoying the last few days of summer. The sidewalk surrounding the perimeter of the circular lake is crowded with walkers and runners. You then notice a runner approaching you wearing a T-shirt with writing on it. You read the first two lines, but are unable to read the third line before he passes. You wonder, ”Hmmm, if he continues around the lake, I bet I’ll see him again but I should anticipate the time when we’ll pass again.”
You look at your watch and it is 5:07pm. You estimate your walking speed at 3 m/s and the runner’s speed to be about 14 m/s. You also estimate that the diameter of the lake is about 2
miles. At what time should you expect to read the last line of the t-shirt?
The anticipated time when he will appear again is 5:17 pm
The given parameters;
your speed, \(V_a\) = 3 m/s
the runner's speed, \(V_b\) = 14 m/s
the diameter of the lake, d = 2 miles = 3218.69 meters
Let the anticipated time when he will appear again = tThe circumference of the lake is calculated as;
\(C = \pi d\\\\C = 3.142 \times 3218.69 = 10,113.12 \ m\)
Apply concept of relative velocity to determine the time, in which he will appear again.
By the time he appears again;
the distance you moved + distance he moved = circumference of the circle
\(V_at + V_bt = 10, 113.12\\\\(V_a + V_b)t = 10,113.12\\\\(3 + 14) t = 10,113.12\\\\17t = 10,113.12\\\\t = \frac{10,113.12}{17} \\\\t = 594.89 \ s = 9.92 \ \min \ \approx 10 \ \min\)
\(t\ \approx \ \ 5:17 \ pm\)
Thus, the anticipated time when he will appear again is 5:17 pm
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Inside a freely-falling elevator, there would be no A) gravitational force on you. B) apparent weight for you. C) both of these D) none of these.
Inside a freely-falling elevator, there would be no apparent weight for you.So option B is correct.
Inside a freely-falling elevator, there is still a gravitational force acting on you. However, since both you and the elevator are falling at the same rate, you would experience a sensation of weightlessness. Your apparent weight, which is the force exerted on a body due to gravity, would be zero. This is because there is no contact force between you and the elevator floor that would provide a normal force to counteract gravity. Therefore, the correct option is that there would be no apparent weight for you.
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2. A metal cube with an edge length x is expanding uniformly as a consequence
of being heated. Find the:
(a) Change in volume of the cube as x increases from 2.00 to 2.01 centimeters.
(b) Average rate of change of volume of the cube with respect to an edge length as x
increases from 2.00 to 2.01 centimeters.
(c) Instantaneous rate of change of volume of the cube with respect to an edge length
at the instant when x = 2 centimeters.
3. Use the definition of the derivative to find the equation of the line that passes through
the point (1, 5) and is parallel to the tangent line to f (x) = 1
x at x = 3.
A. the change in volume of the cube is approximately 0.120601 cm^3. B. the average rate of change of volume of the cube with respect to an edge length is approximately 12.0601 cm^3/cm. C. the equation of the line that passes through the point (1, 5) and is parallel to the tangent line to f(x) = 1/x at x = 3 is y = (-1/9)x + 14/9.
(a) To find the change in volume of the cube as x increases from 2.00 to 2.01 centimeters, we need to calculate the difference in volume between these two values.
The volume of a cube is given by V = x^3, where x is the edge length.
For x = 2.00 cm, the volume V1 = (2.00 cm)^3 = 8.00 cm^3.
For x = 2.01 cm, the volume V2 = (2.01 cm)^3 = 8.120601 cm^3.
The change in volume is ΔV = V2 - V1 = 8.120601 cm^3 - 8.00 cm^3 ≈ 0.120601 cm^3.
Therefore, the change in volume of the cube is approximately 0.120601 cm^3.
(b) The average rate of change of volume of the cube with respect to an edge length as x increases from 2.00 to 2.01 centimeters can be calculated by dividing the change in volume by the change in edge length.
ΔV = 0.120601 cm^3 (from part a)
Δx = 2.01 cm - 2.00 cm = 0.01 cm
The average rate of change of volume is ΔV/Δx = 0.120601 cm^3 / 0.01 cm ≈ 12.0601 cm^3/cm.
Therefore, the average rate of change of volume of the cube with respect to an edge length is approximately 12.0601 cm^3/cm.
(c) The instantaneous rate of change of volume of the cube with respect to an edge length at the instant when x = 2 centimeters can be found by taking the derivative of the volume function V = x^3 with respect to x and evaluating it at x = 2.
dV/dx = 3x^2
At x = 2 cm, the instantaneous rate of change of volume is dV/dx evaluated at x = 2:
dV/dx = 3(2 cm)^2 = 12 cm^2.
Therefore, the instantaneous rate of change of volume of the cube with respect to an edge length at x = 2 centimeters is 12 cm^2.
To find the equation of the line that passes through the point (1, 5) and is parallel to the tangent line to f(x) = 1/x at x = 3, we need to determine the slope of the tangent line.
The derivative of f(x) = 1/x is given by f'(x) = -1/x^2.
At x = 3, the slope of the tangent line is f'(3) = -1/(3^2) = -1/9.
Since the line we want to find is parallel to the tangent line, it will have the same slope. So the slope of the line is -1/9.
Using the point-slope form of a linear equation, we can write the equation of the line as:
y - y1 = m(x - x1),
where (x1, y1) is the given point (1, 5) and m is the slope.
Substituting the values, we have:
y - 5 = (-1/9)(x - 1).
Expanding and rearranging the equation, we get:
y = (-1/9)x + 14/9.
Therefore, the equation of the line that passes through the point (1, 5) and is parallel to the tangent line to f(x) = 1/x at x = 3 is y = (-1/9)x + 14/9.
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Li and Raj are playing football. They take turns trying to run past each other with the football. Li weighs 125 pound and Raj weighs 175 pounds. Li discovers that if he changes direction quickly when running, he can always dodge out of the way before Raj can tackle him.
Complete question is;
Li and Raj are playing football. They take turns trying to run past each other with the football. Li weighs 125 pound and Raj weighs 175 pounds. Li discovers that if he changes direction quickly when running, he can always dodge out of the way before Raj can tackle him.
Why is Li able to avoid Raj’s tackle? Choose the best description.
A) Raj has more mass and therefore more inertia, so he can change his motion more easily than Li.
B) Raj has more mass and therefore less inertia, so he can change his motion more easily than Li.
C) Li has less mass and therefore more inertia, so he can change his motion more easily than Raj.
D) Li has less mass and therefore less inertia, so he can change his motion more easily than Raj.
Answer:
Option D - Li has less mass and therefore less inertia, so he can change his motion more easily than Raj.
Explanation:
From Newton's first law of motion which is known as law of inertia, an object will remain at rest or continue in constant motion unless an external force acts upon it. This means that Inertia is simply the resistance of an object to any change in its state of rest or motion.
This means that the larger the mass of the object, the more resistance the object will have from an external force. Similarly, the smaller the object, the less resistance it will have from an external force.
Therefore, we can see that larger mass means larger resistance and in turn larger inertia while smaller mass denotes smaller resistance and in turn smaller inertia.
Now, from the question,Li weighs 125 pound and Raj weighs 175 pounds. So, Li has lesser mass than Raj, and so he also has less inertia. Thus, he can change his motion more easily than Raj due to that.
Answer:
Li has less mass and therefore less inertia, so he can change his motion more easily than Raj.
Explanation:
i did the test
based on what you know about energy, what types of energy does the water balloon have? how would energy explain the water balloon’s behavior?
Energy is an important concept that affects us in many ways. It is the ability to do work, and it can come in many forms. When it comes to a water balloon, it has several types of energy that explain its behaviour.
Types of Energy: The water balloon has potential energy, which is stored energy due to its position or shape. This potential energy is converted to kinetic energy when the balloon is thrown. Kinetic energy is the energy of motion, so as the balloon moves, it has kinetic energy.
The balloon also has thermal energy, which is energy that comes from the temperature of the water in the balloon. As the water inside the balloon heats up, the thermal energy increases and the balloon becomes more elastic.
Behaviour: The water balloon's behaviour can be explained by the energy it contains. The potential energy it has will cause it to move when it is released, resulting in its kinetic energy. The thermal energy can cause the balloon to expand and become more elastic, making it more likely to burst when hit by an object. The combination of these energies explains why the balloon behaves the way it does.
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Cardiorespiratory endurance involves these systems
A.respiratory and digestive
B.digestive and circulatory
C.circulatory and respiratory
Answer:
C.circulatory and respiratory
Explanation:
Cardiography is upon the heart and its cardiac muscles whereas respiratory is upon the lungs
What is the formula for density?
(A) D= m x V
(B) D= d-(m+v)
(C) D= d/v
(D) D= m/v
Answer:
D: D= m/v
Explanation:
That is the right formula. I like to remember that finding density takes a lot of HEART because it is shaped like a heart
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A gas has an initial volume of 0.9 L, an initial pressure of 32 atm and a temperature of 24.80 K. The temperature is decreased to 10.01 K. At this new temperature the volume is 744 mL. What is the new pressure?
Answer:
The new pressure will be 12 atm
Which of the following was NOT created as a result of big bang nucleosynthesis?
a. Hydrogen
b. Duterium
c. Tritium
d. Helium
e. Carbon
The element which is not formed during big bang nucleosynthesis is Carbon.
The Big Bang nuclear synthesis process did not result in the creation of this statement. It results in the production of nuclear which is other than the nuclear with lesser mass, according to Big bang nucleosynthesis. The process of nuclear synthesis in the Big Bang results in the formation of the isotopes of hydrogen and helium, as well as traces of lithium. The process will form to some extent because of it. The carbon element is not directly created as a result of this big band nuclear synthesis process, but it may be formed as a result of another process by which these nuclear make combined. It wasn't formed as a result of the Big Bang. The element that is not created as a result of the Big bang nucleosynthesis is carbon.
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if an objects first movement is 3.0m North and another movement is 4.0m West, what is the magnitude of the displacement made overall?
If an object's first movement is 3.0m North and another movement is 4.0m west, the magnitude of the overall displacement made would be 5.0 meters in the northwest direction.
What is displacement?Displacement is a vector quantity. This indicates that it has both a direction and a magnitude and that it is visually represented as an arrow that points from the starting position to the ending position.
As given in the problem if an object's first movement is 3.0m North and another movement is 4.0m west
Resultant displacement can be calculated with the help of the triangle law of the vector addition,
Resultant = √( 3² + 4²)
=√25
= 5.0 m
Thus, the magnitude of the overall displacement made would be 5.0 meters in the northwest direction.
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Picturing the way a volcano erupts to remember how a volcano functions is called a. visualizing c. keywording b. categorizing d. all of these please select the best answer from the choices provided a b c d
Answer:
A.
Explanation:
You need to imagine how the volcano erupts to know how the volcano works.
Are masks effective in slowing the spread of COVID-19? In a few sentences, make a hypothesis and design and describe an experiment on how you could TEST this yourself using common household materials.
Answer:
Not really, because wearing a mask can lower your immune system and covid can be caught like any other virus body contact and body fluids. So since you can still get it through those ways then you're going to get it and be worse off than if you don't wear a mask.
you can test this by not wearing a mask and see how not bad it is catching covid over getting it while you wear a mask.
Explanation:
Answer:
Yes
Explanation:
Hypothesis- if masks are used to protect yourself from Covid-19 then the spread of the virus will decrease
You could test this by:
Getting a mask and using materials such as shampoo, soap, honey, glue, or (safe) chemicals to see how much the masks absorbs the materials. By doing so you can show how the mask can help block certain materials from entering or leaving the mask area therefore slowing the spread of Covid.
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Question: How do the number of beats relate to the frequencies of the two sound waves?
Answer:
The beat frequency is always equal to the difference in frequency of the two notes that interfere to produce the beats. So if two sound waves with frequencies of 256 Hz and 254 Hz are played simultaneously, a beat frequency of 2 Hz will be detected. ... These sounds will interfere to produce detectable beats.
Explanation:
How will a strong material differ from a weaker material?
The greatest stress that a material can withstand before failing is referred to as its strength. Its stiffness describes how much it will flex or bend when pulled. High strength is frequently found in materials with high stiffness. The greatest stress that a material can withstand before failing is referred to as its strength.
Stress is the force applied to a material's unit area. Strain is the term for a body's reaction to stress. The body can distort under stress. Stress units can be used to quantify the amount of force that a material has experienced.Materials science is the study of the characteristics of solid materials and how a material's structure and composition affect those characteristics.Strain is calculated by dividing the amount of deformation the body experiences in the direction of the applied force by the body's starting dimensions.To know more about stress
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what occurs as energy is transferred through a wave? responses water particles are pushed forward by the wind. water particles are pushed forward by the wind. water particles are set in a circular motion. water particles are set in a circular motion. water particles are set in a vertical motion. water particles are set in a vertical motion. water particles are pulled backwards by the wind.
As energy is transferred through a wave, water particles are set in a circular motion that is option C.
Water particles start to travel up or down as they join a wave. The energy of movement, or kinetic energy, has therefore been transmitted to them. The particles slow down as they go upward or downward towards the wave crest or trough, respectively, from their usual location. The energy of particles in a wave oscillates between kinetic and potential energy, therefore this indicates that some of their kinetic energy has been transformed into potential energy.
The frequency and wavelength of a wave are both measures of its energy, however this varies depending on the type of wave.
The most energetic waves in water are those that move quickly and have a long wavelength, like a tsunami. As speed is constant for electromagnetic waves, the most energetic waves are those with a high frequency and a short wavelength (like X-rays).
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Which could most likely describe the three surfaces?
Surface 1 is ice, Surface 2 is gravel, and Surface 3
is blacktop.
Surface 1 is gravel, Surface 2 is ice, and Surface 3
is blacktop.
Surface 1 is blacktop, Surface 2 is gravel, and
Surface 3 is ice.
Surface 1 is blacktop, Surface 2 is ice, and Surface
3 is gravel.
Answer:
Surface 1 is blacktop, Surface 2 is gravel, and Surface 3 is ice.
Explanation:
Hope this helps! :]
Answer:
C. Surface 1 is blacktop, Surface 2 is gravel, and
Surface 3 is ice.
Explanation:
a mass m is attached to a spring with a spring constant k. if the mass is set into motion by a displacement d from its equilibrium position, what would be the speed, v, of the mass when it returns to equilibrium position?
Answer: The mass when it returns to equilibrium position V=d√(k/m)
Reason:
The mass of the spring is set into simple harmonic motion at the equilibrium position A mass attached to a spring is free to oscillate, with angular velocity ω, in a horizontal plane without friction or damping. It is pulled to a distance X0 and pushed towards the centre with a velocity V0 at time t = 0.
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Balance the following chemical equations
Answer:
Enter an equation of a chemical reaction and click 'Balance'. The answer will appear below
Always use the upper case for the first character in the element name and the lower case for the second character.
To enter an electron into a chemical equation use {-} or e
To enter an ion specify charge after the compound in curly brackets: {+3} or {3+} or {3}. Example: Fe{3+} + I{-} =...
Substitute immutable groups in chemical compounds to avoid ambiguity. For instance equation C6H5C2H5 + O2 = C6H5OH + CO2...
Explanation:
A distant planet with a mass of (7.2000x10^26) has a moon with a mass of (5.0000x10^23). The distance between the planet and the moon is (6.10x10^11). What is the gravitational force between the two objects?
A distant planet with a mass of (7.2000x10^26) has a moon with a mass of (5.0000x10^23). The distance between the planet and the moon is (6.10x10^11). What is the gravitational force between the two objects?
Answer:
Explanation:
This is a simple gravitational force problem using the equation:
\(F_g=\frac{Gm_1m_2}{r^2}\) where F is the gravitational force, G is the universal gravitational constant, the m's are the masses of the2 objects, and r is the distance between the centers of the masses. I am going to state G to 3 sig fig's so that is the number of sig fig's we will have in our answer. If we are solving for the gravitational force, we can fill in everything else where it goes. Keep in mind that I am NOT rounding until the very end, even when I show some simplification before the final answer.
Filling in:
\(F_g=\frac{(6.67*19^{-11})(7.2000*10^{26})(5.0000*10^{23})}{(6.10*10^{11})^2}\) I'm going to do the math on the top and then on the bottom and divide at the end.
\(F_g=\frac{2.4012*10^{40}}{3.721*10^{23}}\) and now when I divide I will express my answer to the correct number of sig dig's:
\(Fg=\) 6.45 × 10¹⁶ N
a) what is the maximum value of the current? b) when the current is a maxiumum, what is the emf of the generator?
The pace at which electrons flow past a location in a complete electrical circuit is defined as current.
What is the maximum current value in the circuit?In a circuit, the maximum alternating voltage and current are 400 V and 20 A, respectively. The alternating values have a frequency of 50 hertz and are sinusoidal. Current is the rate at which a charge moves through a circuit point. The highest current might be drawn while the external resistance is zero. Electromotive force, abbreviated E or emf, is the amount of energy per unit electric charge delivered by an energy source such as a generator or a battery. As the gadget works on the electric charge being transported inside itself, energy is changed from one form to another in the generator or battery.
Electromotive force (also electroosmotic, abbreviated emf, indicated or) is an energy transfer to an electric circuit per unit of electric charge, measured in volts, in electromagnetism and electronics. Electrical transducers generate an emf by transforming various types of energy into electrical energy.
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Answer
Explanation
a plane travels 360 km in 3 hours. what is its velocity
The velocity of the plane is 120 km/hr.
How would you define velocity?Velocity is the pace at which an object's location is changing as perceived from a particular point of view and as measured by a certain unit of time (for example, 60 km/h northbound). Velocity is the direction at which an object is traveling. Velocity is a fundamental concept in kinematics, the branch of classical mechanics that deals with the motion of bodies. In order to be defined, the physical vector quantity known as velocity needs to have both a magnitude and a direction. Speed is a coherent derived unit whose quantity is measured in metres per second (m/s or m/s1) in the SI. Speed is the scalar absolute value (magnitude) of velocity (metric system). As opposed to "5 meters per second east," which is a vector, "5 meters per second," for instance, is a scalar.
Distance traveled = 360 km
Time taken = 3 hours
Hence, velocity = 360/3 = 120 kmph
Thus, the velocity of the plane is 120 km/hr.
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Consider the circuit shown in Figure 21-37.
A.) Find the current in each resistor.
B.) Is the potential at point A greater than, less than, or equal to the potential at point B. Explain.
C.) Determine potential difference between points A and B.
The magnitude of the potential difference is 2.102347983 Volts
How to solve thisLet the current in the left and right loops be i1 and i2 and let them add up to give i3 in the middle wire.
The assumed directions are shown with red arrows in the figure.
Applying Kirchoff's loop law in the left loop EADFE starting from E and going clockwise,
3.9 i1 + 1.2 i3 + 9.8 i1 - 12 = 0
=> 13.7 i1 +1.2 i3 -12 = 0
but i3 = i1 + i2, so
13.7 i1 + 1.2 (i1 + i2) - 12 = 0
14.9 i1 + 1.2 i2 = 12 eqn 1
Applying Kirchoff's loop law in the left loop CADBC starting from C and going anit- clockwise,
6.7 i2 + 1.2 i3 - 9 = 0
but i3 = i1 + i2, so
6.7 i2 + 1.2 (i1 + i2) - 9 = 0
1.2 i1 + 7.9 i2 = 9 eqn 2
Solving eqn 1 and eqn 2 , we get,
14.9 i1 + 1.2 i2 = 12 => i1 = (12 - 1.2 i2 )/ 14.9
1.2 i1 + 7.9 i2 = 9
1.2 ( 12 - 1.2 i2 ) /14.9 + 7.9 i2 = 9
14.4 - 1.44 i2 + 117.71 i2 = 134.1
116.27 i2 = 119.7
i2 = 1.029500301 A
i1 = (12 - 1.2 i2 )/ 14.9 = 0.722456351 A
i3 = i1 + i2 = 1.751956653 A
we got all positive values for i1 and i2 and i3.
So, the assumed directions of currents are also correct.
B & C.) Current is flowing from C to A, So obviously Potential at C is greater than Potential at A,
VC - VA = 6.7 i2 (by ohm's law)
VC - VA = 6.897652017
VB - VA = VB - VC + VC - VA
VB - VA = - 9 + 6.897652017
VB - VA = - 2.102347983 Volts
We got a negative value, which means VA > VB
So, the potential at A is greater than the potential at B
and the magnitude of the potential difference is 2.102347983 Volts
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why was Idi Amin labeled as one of the Africa's cruelest dictators
Answer: He was labeled as one of Africa's cruelest dictators because during his eight year reign many civilians were massacred. He drove out Uganda's Indian and Pakistani citizens and spent large amount of money on the military which led to the economic decline of the country.
Explanation:
Plants release oxygen into the air us what type of sphere
Answer:
Biosphere
Explanation:
Plants release the biosphere into the atmostphere. :)
can someone write and short summary on how to hula hoop
Answer:
First you take a hula hoop and hold it around your waist then you start moving your hips in a circle and let the hula hoop go off your hands and you keep moving your hips. You keep moving your hips until you want to stop but it might fall. Just keep trying and you should get the hang of it in a few minutes.
Explanation: