(a) The RMS voltage of the source is 63.1 V. (b) The frequency of the source is 13.0 Hz. (c) The capacitance of the capacitor is 0.0000531 µF.
The given values are,
Maximum current, Imax = 0.400 A
Maximum voltage, Vmax = 89.2 V
Angular frequency, ω = 82 rad/s
The voltage from the AC source, δv = 89.2 sin(82t)
The RMS voltage of the source can be found using the relation:
Vrms = Vmax/√2
Vrms = 89.2/√2 = 63.1 V
Therefore, the RMS voltage of the source is 63.1 V.
The frequency of the source can be found using the relation:
ω = 2πf
f = ω/2π
f = 82/2π = 13.0 Hz
Therefore, the frequency of the source is 13.0 Hz.
The capacitance of the capacitor can be found using the relation between maximum current and angular frequency for a capacitor in an AC circuit:
Imax = ωCVmax
C = Imax/(ωVmax)
C = 0.400/(82 × 89.2 × 10^-3) = 0.0000531 F
Therefore, the capacitance of the capacitor is 0.0000531 µF.
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Scientists have invented the equipment to harness the power of lighting for energy use. True or false
A 10 kg-shopping cart is being pushed with a net force of 18 N, what is the acceleration
of the cart?
Answer:
180m/s²
Explanation:
A = Fm
A = 18(10)
A = 180m/s²
How many kilohertz are
750 megahertz?
750 megahertz is equal to 750,000 kilohertz.
Frequency is a fundamental property of waves and is used to measure the number of cycles or oscillations that occur in a given time period. The standard unit of frequency is the hertz (Hz), which represents one cycle per second. However, when dealing with larger frequencies, such as those encountered in electronics and telecommunications, it is common to use metric prefixes to express them more conveniently.
Kilohertz (kHz) represents 1,000 hertz, megahertz (MHz) represents 1,000,000 hertz, and gigahertz (GHz) represents 1,000,000,000 hertz. These prefixes allow us to express frequencies in a more manageable and concise way.
To convert megahertz (MHz) to kilohertz (kHz), you need to multiply the value by 1,000.
Given that 750 megahertz is the value to convert:
750 megahertz = 750,000 kilohertz
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Consider a 0. 5-kg meter stick with a 1. 0 kg mass attached at the 50 cm mark and a 3. 0 kg mass at the very end. Where on the meter stick is the center of mass located?.
The center of mass of the three mass system is at 83cm.
What is center of mass?The center of mass of an object or a collection of objects is known. It represents the system's average location by weighing the mass of each component. For straightforward rigid structures with uniform densities, the center of mass is located at the centroid.
What is the calculation of the above problem?Given the mass of the meter stick is:
M = 0.5kg.
Since the meter stick is uniform, the center of mass of the meter stick is at 50cm or 0.5m.
Let the distance of the meter stick's center of mass from 0cm be x1. Then x1 = 0.5m.
Now a mass m2 = 1kg is attached at 50cm mark.
So the distance of m2 from 0cm is x2 = 50cm = 0.5m.
Similarly a mass m3 = 3kg is attached at the every end or 100cm mark. So the distance of m3 from 0cm is x3 = 100cm = 1m.
Now the position of the three mass system from 0cm is given by,
So the center of mass of the three mass system is at 83cm.
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The weight of the water displaced by a person floating the water is 686 N. What is the person's mass?
As a baseball is being caught, its speed goes from 30.0 m/s to 0.0 m/s in about 0.0050 s. The mass of the baseball is 0.145 kg.
What is the baseball's acceleration?
What are the magnitude and the direction of the force acting on it?
What are the magnitude and direction of the force acting on the player who caught it?
Answer: Force = 870 N
Explanation:
acceleration = a = (final velocity - initial velocity) / time elapsed
a = (0-30)/.005 = -6000 m/s2 (negative sign means the ball is slowing down)
Force = F = mass x acceleration = ma
F = (0.145 kg)(6000 m/s2) = 870 N away from the player throwing the ball
The magnitude of the force on the player catching the ball is equal, 870N. The mitt acts on the ball with an equal and opposite force (Newton's 3rd Law of Motion)
You throw a dodge ball with a mass of 2.1 kg. The ball leaves your hand with a speed of 25 m/s. Identify the energy (PE or KE) and calculate it.
Given,
The mass of the object, m=2.1 kg
The speed of the object, v=25 m/s
Kinetic energy is the energy that an object possesses due to its motion. And potential energy is the energy that an object possesses due to its position.
The gravitational potential energy depends on the height of the object. As the change in the height of the object is not mentioned in the question, let us assume that there is no change in the potential energy.
The velocity of the object, however, changes. Thus the energy possessed by the object is the kinetic energy.
And the kinetic is given by
\(E_K=\frac{1}{2}mv^2\)On substituting the known values,
\(\begin{gathered} E_K=\frac{1}{2}\times2.1\times25^2 \\ =656.25\text{ J} \end{gathered}\)Thus the kinetic energy of the ball is 656.25 J
the full range of electromagnetic energy is called the
Answer: the electromagnetic spectrum
Explanation:
The full range of frequencies of electromagnetic radiation is called the electromagnetic spectrum. From longest to shortest wavelengths, it includes radio waves, microwaves, infrared light, visible light, ultraviolet light, X rays, and gamma rays.
Hope I have helped, and have a good day!!!
An applied force of 20 N accelerates a block across a level,frictionless surface from rest to a velocity of 8.0 m/s in a time of 2.5 s. Calculate the work done by this force.
Answer:
workdone = force × distanceExplanation:
let's find the acceleration
\(v = u + at \\ 8 = 0 \times a \times 2.5 \\ \alpha = 3.2m {s}^{ - 2} \)
then distance
\( {v}^{2} = {u}^{2} + 2as \\ {8}^{2} = 2 \times 3.2 \times s \\ \\ s = 10m \)
w = f ×d = 20 × 10 = 200JWhat is the correct sequence of flow of electrical current in the cardiac conduction system?
The correct sequence of flow of electrical current in the cardiac conduction system is as follows: SA node (sinoatrial node) → AV node (atrioventricular node) → Bundle of His → Purkinje fibers.
The cardiac conduction system is responsible for coordinating the electrical impulses that regulate the contraction and relaxation of the heart muscles. This system ensures that the heart beats in a synchronized and coordinated manner.
The sequence begins with the SA node, often referred to as the natural pacemaker of the heart. The SA node generates electrical impulses, initiating each heartbeat. These impulses spread across the atria, causing them to contract and pump blood into the ventricles.
Next, the electrical signal reaches the AV node, located at the junction between the atria and ventricles. The AV node acts as a relay station, briefly delaying the impulse to allow for the atria to fully contract before transmitting the signal to the ventricles.
From the AV node, the electrical signal travels down the Bundle of His, a specialized bundle of fibers that divides into the left and right bundle branches. These branches conduct the electrical impulses to the Purkinje fibers.
The Purkinje fibers are spread throughout the ventricles and rapidly transmit the electrical signal, causing the ventricles to contract and pump blood out of the heart.
In summary, the correct sequence of flow of electrical current in the cardiac conduction system is SA node → AV node → Bundle of His → Purkinje fibers.
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How are asteroids formed?
A. They formed when the sun ejected large pieces of rocky material.
B. They formed when the solar system formed in a method similar to planets, but they never grew large enough to become planets.
C. They formed when a moon breaks free from a planet.
D. They formed when two pieces of icy material collided to make a larger piece of ice and dust.
Answer:
B. is the closest answer.
Explanation:
"Asteroids are leftovers from the formation of our solar system about 4.6 billion years ago."
Answer B. is the closest answer to presenting a proper formation process of Asteroids.
Sorry if wrong....
B. They formed when the solar system formed in a method similar to planets, but they never grew large enough to become planets.
Asteroids:
Any of the thousands of small bodies of from 480 miles (775 km) to less than one mile (1.6 km) in diameter that revolve around the sun in orbits lying mostly between those of Mars and Jupiter.
Keisha writes that if an object has external force acting on it then the object can be in dynamic equilibrium but not staric equilibrium
The statement that best describes Keisha errors is an object in either state of equilibrium must have no net force acting on it.
What is an object at dynamic equilibrium?An object is said to be on a dynamic equilibrium when it moves at a constant speed, and all the forces on the object are balanced.
An object is also said to be on static equilibrium when it is unable to move because all the forces which act on it compensate for one another.
Therefore, the statement that best describes Keisha errors is an object in either state of equilibrium must have no net force acting on it.
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how does bimettalic strip work?
How fast must a 20.0kg child be moving on her tricycle to have the same momentum as a 1.20 x 103 kg car traveling at 2.00m/s?
The speed of the boy is 120 m/s.
What is momentum?Momentum is a measure of an object's motion. It is defined as the product of an object's mass and velocity. The greater an object's mass or velocity, the greater its momentum. Momentum is a vector quantity, meaning it has both magnitude and direction. The law of conservation of momentum states that the total momentum of a closed system remains constant.
The momentum of the tricycle is;
1.20 x 10^3 kg * 2 m/s
= 2.4 x 10^3 kgm/s
Then the velocity of the boy would be
p = mv
v = p/m
v = 2.4 x 10^3 kgm/s/20
v = 120 m/s
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A woman of mass 53 kg jumps off the bow of
a 62 kg canoe that is intially at rest.
If her velocity is 3.5 m/s to the right, what
is the velocity of the canoe after she jumps?
Answer in units of m/sˆı.
The velocity of the canoe after the woman jumps is 2.99 m/s to the left.
What is the velocity of the canoe?The velocity of the canoe is calculated by applying the principle of conservation of linear momentum as shown below.
m₁u₁ + m₂u₂ = v (m₁ + m₂)
where;
m₁ is the mass of the canoeu₁ is the velocity of the canoe after the woman jumpsu₂ is the velocity if the woman after she jumpsv is the initial common velocity of the woman and the canoe(53)(3.5) + 62(u) = 0(53 + 62)
185.5 + 62u = 0
-62u = 185.5
u = -185.5 / 62
u = -2.99 m/s
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cutting speed is the distance that a point on the circumference of a rotating cutting tool travels in 1 minute. it is stated in what unit?
Cutting speed, which is the distance a cutting tool travels in 1 minute, is measured in feet per minute (ft/min).
What is cutting speed?Cutting speed indicates how fast a metal is removed from the workpiece. Cutting feed focuses on how far the cutting spindle travels across the metal part during one full rotation of the tool.
According to this question, cutting speed is the distance that a point on the circumference of a rotating cutting tool travels in 1 minute.
The measurement of cutting speed is shown as feet per minute or meters per minute (ft/min or m/min) based on the cutting speed velocity.
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A 25-cm rod moves at 5.0 m/s in a plane perpendicular to a magnetic field of strength 0.25 T. The rod, velocity vector, and magnetic field vector are mutually perpendicular, as indicated in the accompanying figure. Calculate (a) the magnetic force on an electron in the rod, (b) the electric field in the rod, and (c) the potential difference between the ends of the rod. (d) What is the speed of the rod if the potential difference is 1.0 V?
Magnetic force on an electron is 2 X 10⁻¹⁹ N,the electric field in the rod is 1.25 V/ m,potential difference between the ends of the rod 0.3 1 V and peed of the rod if the potential difference is 1.0 V is 16m.
By using the formula of motional
Here ,
E Induced emp B - magnetic field,
L Is length of conductor V- velocity
Also, the force Son a positive charge moving in magnetic field is given ask
F = QV*B - -> 2
Here
f - force acting on positively charged
particle V - velocity, 9 7 charge
and B - magicbe freed
(a) The velocity of elections and lode is
same .
By using Eg (2, ie f = q vB sung
by putting the Given value, INengel
f = ( 1 .6022 x 10 ).( 5 * 0.25 ).
= 2 X 10⁻¹⁹ N
(b) In the Equilibrium system the electric force is equals to Magnetic force by putting the values-
E = ( 5 . 0 ) ( 0 25 ) = 1.25 V/ m
( c) By using - E= (0 25 m ) (5m/s )
e = 0. 3 1 V
d )
Again By using EQ1
V=E/BL
=1/( 0 . 25 ) ( 0. 25 )= 16m
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our eyes can be considered small detectors. light enters the pupil and the photons strike the rods and cones in the retina. considering the transparency of the atmosphere, why are our eyes most sensitive to radiation at visible wavelengths? the reason is because the visible wavelengths represent the region where the atmosphere
Our eyes are most sensitive to visible light wavelengths because the atmosphere is transparent in this region of the spectrum. This means that more light is able to pass through the atmosphere and reach our eyes. The rods and cones in our retinas are then able to detect the light and convert it into nerve impulses that our brains can interpret.
The reason our eyes are most sensitive to radiation at visible wavelengths is because the visible wavelengths represent the region where the atmosphere is most transparent. The eyes are considered small detectors because they are able to detect light. The light enters the pupil, and the photons then hit the rods and cones located in the retina. The reason for our eyes being most sensitive to radiation at visible wavelengths is because the visible wavelengths are in the region where the atmosphere is most transparent.
Visible wavelengths are the colors that humans can see. The color spectrum is divided into different wavelengths ranging from violet to red. The region of the electromagnetic spectrum that is visible to the human eye is known as the visible spectrum. This wavelength range of electromagnetic energy is referred to as visible light or just light. The ordinary human eye can see wavelengths between 380 and 750 nanometers.
Violet is the shortest wavelength while red is the longest wavelength. Humans are only able to detect wavelengths ranging from approximately 400 nm to 700 nm. Therefore, it can be concluded that our eyes are most sensitive to radiation at visible wavelengths because the visible wavelengths represent the region where the atmosphere is most transparent.
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A 120-V hair dryer has two settings: 750W and 1250W. a) At which setting do you expect the resistance to be higher?
b) Determine the resistance at the lower setting.
c) Determine the resistance at the higher setting.
a) At the higher power setting (1250W), we expect the resistance to be higher.
b) The resistance at the lower setting is 19.2 ohms.
c)The resistance at the higher setting is 11.52 ohms.
At which setting the resistance to be higher?a) We can use the formula P = V^2/R, where P is power, V is voltage, and R is resistance. For a given voltage, the power output is proportional to the resistance.
Therefore, at the higher power setting (1250W), we expect the resistance to be higher.
What will be the resistance at the lower setting?b) At the lower setting (750W), we can use the formula P = V^2/R and solve for R:
R = V^2/P = (120 V)^2 / 750 W = 19.2 ohms
Therefore, the resistance at the lower setting is 19.2 ohms.
What will be the resistance at the higher setting?c) At the higher setting (1250W), we can use the same formula and solve for R:
R = V^2/P = (120 V)^2 / 1250 W = 11.52 ohms
Therefore, the resistance at the higher setting is 11.52 ohms.
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Silas sighted Maya in the hallway after his Block 2 Humanities class. They stopped and talked way too long. Recognizing that the Block 3 late bell was going to ring in 17.1 seconds, Silas hurried 50.4 m down the Hall to Mr. Wizeman's English class.
What average
speed must Silas move in order to reach the doorway on time?
Average Speed: ___ m/s
Silas must move at an average speed of 2.95 m/s to reach Mr. Wizeman's English class on time.
How to find the average speedTo calculate Silas's average speed, we can use the formula:
average speed = distance / time
distance is 50.4 m.
time is 17.1 seconds
Now we can plug in the values:
average speed = distance / time
average speed = 50.4 m / 17.1 s
average speed = 2.95 m/s
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if a ping-pong ball and a golf ball both move in the same direction with the same amount of kinetic energy, the speed of the ping-pong ball must be
The speed of the ping-pong ball is more than that of the golf ball. Correct option is C.
If the kinetic energy of each ball is equal to that of the other,
(1/2) (mass of ppb) (speed of ppb)² = (1/2) (mass of gb) (speed of gb)²
where,
ppb is ping-pong ball
gb is golf ball
Multiplying each side by 2,
(mass of ppb) (speed of ppb)² = (mass of gb) (speed of gb)²
Divide each side by (mass of gb) and by (speed of ppb)²:
(mass of ppb)/(mass of gb) = (speed of gb)²/(speed of ppb)²
Take square root of each side,
√ (ratio of their masses) = ( 1 / ratio of their speeds)²
If their kinetic energies are equal, then the product of each mass and its speed² must be the same number.
If one ball has less mass than the other one, then the speed² of the lighter one must be greater than the speed² of the heavier one, in order to keep the products equal.
Thus, the pingpong ball is moving faster than the golf ball.
The given question is incomplete. The complete question is 'A. less than golf ball B. same as golf ball C. more than golf ball D. impossible to know'
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what is the area of a retangular plate whose sedes measine 27.3 cm by 17.5 cm?
Answer:
477.75cm^2
Explanation:
Area formula is L x W
27.3cm x 17.5cm = 477.75cm^2
Answer:
477.75
Explanation:
multiply one side by the other
why do sport activities be part of our life?
Answer:
Sport lowers high blood pressure, Keeps cholesterol level right. Blood circulation in the body is relatively high during play, so nutrients can go to all parts of the body. Moreover, white blood cells increase during play that increases the body’s immunity power. That’s why sports is important in our life.
Explanation:
yes
A spring is extended 15 cm from its equilibrium point. If the spring constant k is 75 N/m, the magnitude and direction of the elastic force Fel are described by which of the following?
A.1.1 × 10^1 N; oriented away from the equilibrium point
B.1.1 × 10^1 N; oriented toward the equilibrium point
C.1.1 × 10^3 N; oriented away from the equilibrium point
D.1.1 × 10^3 N; oriented toward the equilibrium point
The answer is B.1.1 × 10^1 N; oriented toward the equilibrium point.
The magnitude and direction of the elastic force Fel, if a spring is extended 15 cm from its equilibrium point and the spring constant k is 75 N/m can be calculated as follows;
Spring constant, k = 75 N/m
Displacement, x = 15 cm = 0.15 m
The magnitude of the elastic force Fel is given by;
F_el = kx
Where; F_el = elastic force
k = spring constant
x = displacement
Substituting the values of k and x in the above equation we get;
F_el = kx
F_el = 75 N/m × 0.15 m
F_el = 11.25 N
This is the magnitude of the elastic force.
The direction of the elastic force is always in the opposite direction to the displacement from the equilibrium point. Since the displacement is towards the right, the elastic force will be in the left direction,
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Part A
1) What happens when you add a second drip and space both the drips close together? Describe the pattern they form and explain the cause for this pattern in detail.
2)Turn off the second drip and then add a barrier with one slit. What do you observe on the right side of the wall? What do you observe on the left side of the wall? From a physics perspective, explain your observations of what is happening on both sides of the barrier.
Part B
1) On the Sound tab, investigate briefly all the phenomena you explored with water waves above and describe any similarities in your results for sound. Specifically, describe
- wave pattern as seen on the screen
- shape and amplitude of the graph
- effect of frequency on wavelength
- effect of frequency on velocity
- pattern with two sources
- wave pattern with a single-slit barrier
2) Sound and water waves obviously have many similarities, but they are not exactly the same. Describe all the differences you can think of between sound waves and water waves.
Part C
1) On the Light tab, once again investigate briefly all the phenomena you explored with water and sound above. Describe any similarities in your results for light. Specifically describe
- wave pattern as seen on the screen
- shape and amplitude of the graph
- effect of frequency on wavelength
- effect of frequency on velocity
- pattern with two sources
- wave pattern with a single-slit barrier
2) Light waves have some similarities with water and sound waves, but they are not exactly the same. Describe all the differences you can think of between light waves, sound waves, or water waves
Plz Answer All Questions. tysm.
Answer:
1) Superposition results in adding the two waves together. Constructive interference is when two waves superimpose and the resulting wave has a higher amplitude than the previous waves. Destructive interference is when two waves superimpose and cancel each other out, leading to a lower amplitude.
I'm sorry thats all I can help with
Answer:
Turn off the second drip and then add a barrier with one slit. What do you observe on the right side of the wall? What do you observe on the left side of the wall? From a physics perspective, explain your observations of what is happening on both sides of the barrier.
Explanation:
The speed and amplitude of the waves are affected when hitting the barrier. The two waves reflect off the barrier and they travel in opposite directions.
fast moving rivers of air which move at 75 to 150 miles per hour
Fast moving rivers of air, known as jet streams, can reach speeds of 75 to 150 miles per hour (mph).
Determine the Jet streams?Jet streams are narrow bands of strong winds that flow in the upper levels of the atmosphere, typically between 25,000 and 35,000 feet above the Earth's surface.
These high-speed air currents are driven by the temperature and pressure gradients in the atmosphere, particularly between warm and cold air masses.
The jet streams flow in a wavy pattern from west to east, influenced by the rotation of the Earth and atmospheric conditions. They can extend thousands of miles in length and a few hundred miles in width.
Jet streams play a crucial role in weather patterns, affecting the movement of storms and the distribution of temperature and precipitation.
Aviation and weather forecasting heavily rely on understanding and monitoring the jet streams. Their high speeds can benefit air travel by reducing flight times for planes flying with the jet stream and increase fuel efficiency.
However, flying against the jet stream can result in longer flight durations and higher fuel consumption.
In summary, jet streams are fast-moving rivers of air with speeds ranging from 75 to 150 mph. They are important atmospheric phenomena that impact weather patterns and have implications for aviation and weather forecasting.
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In general, the further planets are from the sun, the cooler they are. what other factor can have a significant influence on a planet’s surface temperature?
The factor that can have a significant influence on a planet’s surface temperature is its atmosphere.
What is the role of the atmosphere in the planet's temperature?The atmosphere plays a fundamental role in the Earth planet's temperature because it allows the entry and out of certain types of radiation that may increase the temperature.
The role of the atmosphere in the Earth's temperature is well documented because our temperature is thick and it increases its homeostatic temperature balance.
In conclusion, the factor that alters a planet’s surface temperature is its atmosphere.
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what force pushes groundwater from pore space to pore space when below the water table?
The force that pushes groundwater from pore space to pore space when below the water table is primarily due to the pressure gradient within the aquifer. This pressure gradient is caused by the weight of the overlying water and the force of gravity.
Below the water table, the spaces between soil or rock particles are filled with water. These spaces are known as pore spaces. The water table represents the upper surface of the saturated zone, where all the pore spaces are filled with water. gravity acts vertically downward, causing the weight of the water above a particular point to exert a downward force. As a result, the water pressure increases with depth. This increase in pressure creates a pressure gradient within the aquifer.
The pressure gradient drives the flow of groundwater from areas of higher pressure to areas of lower pressure. When a well is drilled into the aquifer below the water table, water will naturally flow into the well and rise to the level of the water table. This is because the pressure is higher below the water table compared to the lower pressure in the well.
The movement of groundwater from pore space to pore space occurs due to the pressure difference between adjacent spaces. Water will flow from areas of higher pressure to areas of lower pressure until the pressures equalize. This movement of water is known as groundwater flow or hydraulic conductivity.
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Which of the following statements is true? a. magnetic fields can push and pull electrons. b. magnetic fields are weakest at the poles of a magnet. c. energy input is always greater than energy output.
Answer:
Explanation:
Among the following statements only 2 statements are true a) Magnetic fields and push and pull electrons and c) Energy input is always Greater than Energy Output.
A) Magnetic Fields can push and pull electrons. In electromagnetic waves, the Magnetic field and Electric Field (moving of electrons in a coil )are always perpendicular to each other. Electric voltage is applied to a metal that is in an electric field the electrons move (push or pull).
B)No Magnetic poles are strongest at the poles of the magnet because at poles we can observe the more density of magnetic line at the end of a Bar Magnetic.
C) Energy Input is always Greater than Energy Output because there is a loss of heat ( due to friction in machines and some type of mechanisms ) difference in temperatures. Mainly due to Heat there is always a difference in Input energy and Output energy.
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what is the demand for resources, such as food, water, and shelter.