The Inverse Square Law applies to Radiation. It states that the intensity of any radiation source is inversely proportional to the square of the distance from the source.
I would rather call it “an inverse square law”. Some things vary inversely as the square of something (usually distance) and some things don’t.
For instance, the quantity of light energy per second falling on a tiny area* is inversely related to the square of the distance from the source if a point light source emits light uniformly in all directions. The energy per second will decrease by four times with every twofold increase in distance for a certain area, and nine times with every threefold increase in distance. (Ideally, the area should be a sphere centered on the point source to make the distance clear; nonetheless, an approximate solution is a tiny plane area perpendicular to the line from the point source.) Therefore, light obeys the inverse square law (at least in Euclidean space).
The gravitational and electrical forces are some examples of entities that adhere to the inverse square law. On the other hand, gravitational and electrical potentials adhere to an inverse rule, whereby the potential must be reduced by a factor of two times the distance.
Thank you,
Eddie
The inverse square law states that the intensity or strength of a physical quantity decreases in proportion to the square of the distance from the source.
The inverse square law is expressed as:
Intensity = k / (distance)²
As you walk further from the source, the light from a point source loses intensity as it spreads out across a wider region.
The square of the distance between two objects' centers determines how much gravity there is between them. The gravitational pull between two things lessens as they are pulled apart more.
As you get further from the source of the music, the sound waves become less intense.
Inverse square law governs the strength of the magnetic and electric fields surrounding a charged particle or a wire carrying current.
An important tenet of physics is the inverse square law, which can be used to explain a variety of natural events.
Therefore, the intensity or strength of a physical quantity decreases in proportion to the square of the distance from the source.
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For a mass suspended on a spring in the vertical direction, the time for one complete oscillation will depend on:
The time for one complete oscillation will not depend on any of the factors listed. Option D
What is a pendulum?A pendulum is composed of a string that is vertically suspended and the end of the string has a mass attached to it. The period of the pendulum refers to the umber of oscillations that occur after the pendulum is displaced through small angle.
Given that the period of a pendulum is;
T = 2π√l/g
T = period of the pendulum
l = length of the pendulum
g = acceleration due to gravity
Hence, the time for one complete oscillation will not depend on any of the factors listed. Option D
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Missing parts;
For a mass suspended on a spring in the vertical direction, the time for one complete oscillation will depend on: a)the value for g (the acceleration due to gravity) b)the distance the mass was originally pulled down c)the maximum speed of the oscillating mass d)the time doesn't depend on any of the above
What must the amplitude of a traveling wave of frequency 72.0 hz be in order for the average power carried by the wave to be 0.363 w ? express your answer with the appropriate units.
The tension in the wire, the wave's speed, its frequency, and its average power are used to calculate the wave's amplitude.
To find the answer, we have to know about the simple harmonic motion.
How to find the amplitude of a traveling wave?We have the expression for average power carried by the wave as,P = (¹/₂)(T/v²)(ω²)(A²)(v)
P = (¹/₂)(T/v)(ω²)(A²)
P = (¹/₂)(T/v)(2πf)²(A²)
where; U is the average power of the wave, T is the tension e wire, ω angular frequency of the wave, A is amplitude of the wave, v is the speed of the wave and f is frequency of the wave.
Thus, the tension in the wire, the wave's speed, its frequency, and its average power are used to calculate the wave's amplitude.
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What theory of mercury's origin can best explain the fact that its core is made of such dense materials?
Answer:
Giant impacts in its early history may have torn away much of its original crust and mantle.
So Mercury has a giant iron core, but why?
There are three general ideas.
1. Mercury was once the core of a gas giant that vaporized when the Sun became a fully-fledged star. This gas giant was probably more like Uranus or Neptune than Jupiter or Saturn.
There are significant issues here, especially that Mercury's existing surface has been exposed to space since the solar system's initial beginnings. On Mercury, remnants of the first massive bombardment have been found.
2. Mercury formerly had a deeper mantle and was a bigger terrestrial planet. During the early history of the solar system, a dwarf planet made a massive impact that robbed the planet of its mantle.
The existing surface of Mercury has been exposed to space since the very beginning of the solar system, which raises major issues once more.
Due to the factors in explanation 1, characteristics from the first significant bombardment have been found on Mercury. The quantity of low temperature volatiles that are trapped and sometimes sublimate out of the crust, causing hollows, is also a major issue. By such an impact, these low temperature volatiles—such as sodium, sulphur, magnesium, etc.—would have been completely pushed out.
3. A mostly iron-rich body developed, and "rock steam"—a gaseous mixture of atomic oxygen and silica—condensed and accreted onto it from the protoplanetary disk near the Sun. Small rock particles with lower temperature volatiles were subsequently formed into a crust. Additionally, it appears that iron was concentrated in the inner region of the protoplanetary disk by the Sun's early, extremely powerful magnetosphere.
Whilst there are a few minor issues with this, this appears by far the most likely scenario.
Its crust and mantle may have been significantly altered during its early history by massive collisions.
What is Core?The extremely hot and dense core of Earth is called the core. Under the mainly solid mantle and the chilly, brittle crust is the ball-shaped core. The radius of the core is about 3,485 kilometers, and it can be located around 2,900 kilometers (1,802 miles) beneath the surface of the Earth (2,165 miles). Earth is more ancient than the core.
Approximately 4.5 billion years ago, Earth was a uniform ball of hot rock. The ball warmed up considerably more due to radioactive decay and residual heat during planetary formation. After roughly 500 million years, the temperature of our new planet reached 1,538 degrees Celsius (2,800 degrees Fahrenheit), which is the temperature at which iron melts. The iron catastrophe refers to this critical moment in Earth's history.
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A 70.0Kg cyclist Rides a 15.0kg
mountain Bike with a Speed of
15m/s Calculate the magnitude
of the momentum of the Bike-rider
system Round your answer to the nearest hundred
Answer:
[tex]1275 kg*m/s[/tex]
Explanation:
We'll use the momentum equation:
[tex]p=mv[/tex]
where:
p = momentum
m = mass
v = velocity
Since we're doing the magnitude of momentum of the system, we'll add the mass of the cyclist and the mountain bike together:
[tex]70.0 kg + 15.0kg=85.0 kg[/tex]
Given that, we can now substitute our given values into the momentum equation:
[tex]p=mv\\p=85.0kg*15.0m/s[/tex]
Our final answer is:
[tex]p= 1275 kg*m/s[/tex]
You are walking out on a frozen lake and you begin to hear the ice cracking beneath you. What is your best strategy for getting off the ice safely?
A Final statement or concluding statement
As, Pressure(P)=(Force(F))/(Area(A)) . So, By Lying down flat on the ice and crawl towards shore will help to get off the ice safely.
What is the relationship between Area and Pressure?Pressure and area of contact are related in such a way that they are inversely proportional to each other.
As the area shrinks, so does the pressure.
Consider the difference between the pressure exerted by a finger pressing on the skin and the pressure exerted by a needle attached to a syringe.
When pressed, the finger may cause a slight depression on the skin but may not cause any pain.
When the same force is applied to a needle, however, the pressure produced is sufficient to puncture the skin.
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Heat is transferred from the sun-warmed surface of earth to the cooler overlying troposphere via _______
Heat is transferred from the sun-warmed surface of the earth to the cooler overlying troposphere via conduction.
Heat transfer from earth to atmosphere:Conduction, convection, latent heating, and water phase transitions all help to carry heat from the Earth's surface, which has been warmed by the Sun, to the cooler troposphere above.
Latent heat flux is the worldwide transfer of latent heat energy via water and air currents. Here, we demonstrate how air circulation transports latent heat energy horizontally to cooler regions, where it condenses into rain or is deposited as snow, releasing the heat energy that was previously trapped there.
When air is heated from below by sunshine or by coming into contact with a warmer land or sea surface, convection occurs and the air below becomes less dense than the air above.
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Physics question regarding kinetic friction. Please include explanation with answer. Thanks!
(a) The mass of the block is 5.1 kg.
(b) The magnitude of the normal force of the block is 46.98 N.
(c) The maximum static frictional force between the block and the incline is 23.49 N.
(d) The gravitational force parallel to the plane is 17.1 N.
(e) The block will not slide after being placed on the incline since the parallel force is less than the maximum static frictional force.
(f) The acceleration will be in the direction of the static frictional force.
The given parameters in the question;
Weight of the metal block, W = 50 NInclination of the plane, θ = 20⁰Coefficient of static friction, μs = 0.5Coefficient of kinetic friction, μk = 0.3Mass of the blockThe mass of the block is calculated as follows;
W = mg
where;
g is acceleration due to gravitym = W/g
m = (50) / 9.8
m = 5.1 kg
Magnitude of the normal force of the blockFₙ = mg cosθ
Fₙ = W cosθ
Fₙ = 50 x cos(20)
Fₙ = 46.98 N
Maximum static frictional force between the block and the inclineFs = μs(Fₙ)
Fs = 0.5 x 46.98 N
Fs = 23.49 N
Gravitational force parallel to the planeF = W sinθ
F = 50 x sin(20)
F = 17.1 N
Net force on the metal blockF(net) = F - Fs
F(net) = 17.1 N - 23.49 N = -6.39 N
Thus, the block will not slide after being placed on the incline since the parallel force is less than the maximum static frictional force.
Acceleration of the block after being placed on the inclinea = F(net)/m
a = -6.39/5.1
a = -1.25 m/s²
The acceleration will be in the direction of the static frictional force.
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10 kg petrol has density of 800 kg/m³. Find its volume in cm³.
The answer is 12,500 cm³.
First, let's find the volume in m³.
Volume = Mass ÷ Density
Volume = 10 kg ÷ 800 kg/m³Volume = 1.25 × 10⁻² m³Now, to convert from m³ to cm³ :
m³ × 10⁶ = cm³
1.25 × 10⁻² × 10⁶1.25 × 10⁴12,500 cm³What might stephanie determine as the best production quantity per cycle for each day of the week? operations tour
According to Stephanie, is the optimal production quantity per cycle. The best output rate each cycle for each day of the week, as determined by Step 1 by Stephanie, might be: To calculate each model's daily demand, multiply the weekly demand for each model by 5.the total number of protons and neutrons found in an atom's nucleus.
The mass number is an production that roughly equates to the atomic mass's numerical value. Despite being unitless, the mass number is assigned atomic mass units (amu). The average atomic mass of any molecule or polyatomic ion can be determined from its composition by summing the rate masses of the constituent atoms.
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A skater can spin faster by pulling her arms closer to her body or spin slower by spreading her arms out from her body. This is due to.
A skater can spin faster by pulling her arms closer to her body or spin slower by spreading her arms out from her body due to conservation of angular momentum.
What is conservation of angular momentum?
Conservation of angular momentum is a physical property of a spinning system such that its spin remains constant unless it is acted upon by an external force, or to put in another way, the speed of rotation is constant as long as net torque is zero.Angular momentum, sometimes also referred to as spin, is determined by an object's mass, its velocity and distance of an object's mass from the point of rotation. The nearer the mass is to its axis point or the more consolidated it is around that axis the greater its velocity.Learn more about the conservation of angular momentum with the help of the given link:
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The break up of the supercontinent ____________________ and changes in climate due to increased weathering and carbon dioxide drawdown are likely causes of snowball earth.
The break up of the supercontinent Rodinia and changes in climate due to increased weathering and carbon dioxide drawdown are likely causes of snowball earth.
Rodinia was a supercontinent that assembled 1.1–0.9 billion years ago and broke up 750–633 million years ago. The extreme cooling of the global climate around 717–635 million years ago (the so-called Snowball Earth of the Cryogenian period) and the rapid evolution of primitive life are thought to have been triggered by the breaking up of Rodinia
The results revealed the breakup of Rodinia occurred over the same geological time period as carbon dioxide declined and temperatures fell. That, Meert said, pointed to Rodinia's breakup as the cause of Snowball Earth
The break-up of a supercontinent may have caused a 'Snowball Earth'. The Earth might have been sent into an ice age by the break-up of a supercontinent 750 million years ago, creating a global snowball. The break-up probably caused an increase in rainfall and weathering of rock
Just as shattering a rock into pieces increases its exposed surface area, so breaking up the supercontinent increased the amount of land exposed to the elements and resulted in a more active hydrological cycle
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A tensile-reinforced t beam is to be designed to carry a uniformly distributed load on a 20-ftsimple span. The total moment to be carried is mu-5780 in-kips. Concrete dimensions, governed by web shear and clearance requirements, are b 20 in, b 10 in, he-5in, and d 20 in. Iffy 60 ksi and fe-4ksi, what tensile reinforcement is required at midspan? select appropriate reinforcement to provide this area of steel and check concrete cover limitations, assuming no. 3 stirrups. What total depth h is required? sketch your design.
Tension reinforced section is when you have steel reinforcement (rebar) on the tension controlled region where the rebar is used to counteract the lack of tensile strength in concrete. When reinforcement is only present in the tension zone, you have a singly reinforced beam.
What is beam light?The light traveling in any one direction in a straight line is named a ray of light. A group of light rays given out from a headwater is called a beam of light. The torch sends out a powerful beam of light. The sun's gravitation was turning the beam of light. A single beam of light emitted from the lighthouse. The clouds parted and a beam of light fell on the field.Laser represents “light amplification by stimulated emission of radiation”. A laser is an object that delivers beams of light that can travel very long distances. Such beams are so emphatic that they can be cut via a diamond, the hardest material in the globe.To learn more about beam light, refer to:
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Newton's reformulation of kepler's third law allows us to measure the masses of bodies in orbit around each other, if we can measure?
Newton's reformulation of kepler's third law allows us to measure the masses of bodies in orbit around each other, if we can measure the distances and periods of revolution
Isaac Newton made a reformulation of the 3rd law of Kepler with regards to the orbital periods of a planet and this helped to measure the masses of bodies in orbit around each other, if we can measure the distances and periods of revolution
What is kepler's third law?This refers to the law of physics that states that the square of the orbital periods of a planet is directly proportional to the cube of the semi-major axis of its orbit
Hence, there was a reformulation of the 3rd law of Kepler by Isaac Newton with regards to the orbital periods of a planet and this helped to measure the masses of bodies in orbit around each other, if we can measure the distances and periods of revolution
This shows that the distances and periods of revolution are key aspects to neasyre the masses of bodies in orbit around each other,
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Doctors once believed that illness was caused by foul air and could not be transmitted from one person to another. now, doctors know that single-celled bacteria and even smaller viruses cause illnesses and can be transmitted from one person to another. how did the advent of the microscope most likely affect the foul-air theory? it supported the theory of foul air causing illness and helped the theory become a law. it provided evidence for other causes of illness, but scientists did not change the theory. it allowed scientists to change the theory before any new information was collected. it allowed scientists to see small organisms in sick individuals and change the theory.
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When a proton slows from 0. 8c up to 0. 6c, it’s kinetic energy decreases by what factor?
When a proton slows from 0. 8c up to 0. 6c, it’s kinetic energy decreases by what factor of 1/4.
Kinetic energy of a proton having a charge Q and Voltage V is given by:
Kinetic energy = Q×V
Where, Q is the charge
V is the Voltage
Kinetic energy is directly proportional to the charge on a proton.
Let the kinetic energy of proton having charge 0.8C be KE₁ and kinetic energy of proton having charge 0.6C be KE₂
Hence KE₁ = 0.8 × V
KE₂ = 0.6 × V
Now, KE₁ / KE₂ = 0.8 V / 0.6 V
⇒ KE₁ / KE₂ = 4 / 3
⇒ KE₂ / KE₁ = 3/4
⇒ KE₂ = 3/4 times KE₁
Hence, the final kinetic energy becomes 3/4 times the initial kinetic energy.
The kinetic energy decreases by a factor of:
Change = KE₁ - KE₂
Change = KE₁ - 3/4KE₁
Change = 1/4 KE₁
Hence, the kinetic energy decreases by a factor of 1/4
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An electric motor has an effective resistance of 29. 4 ω and an inductive reactance of 42. 6 ω. When working under load. the rms voltage across the alternating source is 442 v. Calculate the rms current
An electric motor has an effective resistance of 29. 4 ω and an inductive reactance of 42. 6 ω. When working under load. the rms voltage across the alternating source is 442 v. The rms current will be 8.54 A
AC stands for “Alternating Current,” meaning voltage or current that changes polarity or direction, respectively, over time. AC electromechanical generators, known as alternators, are of simpler construction than DC electromechanical generators.
RMS or root mean square current/voltage of the alternating current/voltage represents the D.C current/voltage that dissipates the same amount of power as the average power dissipated by the alternating current/voltage. For sinusoidal oscillations, the RMS value equals peak value divided by the square root of 2.
I (RMS) = RMS voltage / [tex]\sqrt{R^{2}+ X_{L} { ^{2} }[/tex]
= 442 / [tex]\sqrt{29.4^{2} + 42.6^{2} }[/tex]
= 442 / [tex]\sqrt{864.36 + 1814.76}[/tex]
= 442 / [tex]\sqrt{2679.12}[/tex]
= 8.54 A
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A circuit has an impedance of 5 ohms and a voltage of 100 volts. What is the current flow?
A circuit with an impedance of 5 ohms and a voltage of 100 volts has a current flow of 20 A.
The expression of an electronic component, circuit, or system's resistance to alternating and/or direct electric current is called impedance, indicated by the letter Z. Resistance and reactance are two distinct scalar (one-dimensional) phenomena that combine to form impedance, a vector (two-dimensional) variable.
[tex]Z^{}[/tex] = [tex]\frac{V}{I}[/tex]
(for a pure resistor where Z=R,preserving the form of the DC Ohm's law).
[tex]I=\frac{V}{Z}[/tex]
[tex]I = \frac{100}{5}[/tex]
I = 20 A
Therefore, A circuit with an impedance of 5 ohms and a voltage of 100 volts has a current flow of 20 A.
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does solid give out or take in energy when it melts?
Explanation:
i think it give out energy when it melts
Select the correct answer. the lens in the eyepiece of a telescope magnifies light by bending it. what is this bending called? a. absorption b. dispersion c. radiation d. reflection e. refraction
This bending of light is called "refraction".
What is Refraction?Simply said, reflection is the act of light reflecting back when it strikes a medium on a plane. Refraction is the process by which light shifts as it travels through a material, causing the light to bend. The medium receives the light that originally entered it back.
Refraction is the scientific term for this bending of light. It occurs when light travels through one medium and then through another where the speed of the light is different. It occurs when light travels from the air into the glass in the telescope eyepiece or even in your spectacles.
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Answer:
E. refraction
Explanation:
If you dip hand in cold water after having dipped in warm water wii you feel the water colder than actually is?
Your hand feels colder when it transitions from warm to "colder" (room temperature) water.
What happens when you put your hand from warm water to cold water?Your hand feels colder when you move it from the warm water to the "colder" (room temperature) water. Skin surface temperature will decrease in a constant ambient environment as a result of sympathetic nerve activity increasing and blood flow decreasing as a result of cutaneous receptors triggered by ice-water immersion of one hand in the palm skin of the non-immersed opposite hand.
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Atmospheric pressure is about 100000 pa. at what depth in water does this pressure double?
Atmospheric pressure is about 100000 pa. at h ≈ 10 m depth in water does this pressure double
Water pressure is the result of the weight of all the water above pushing down on the water below. As you go deeper into a body of water, there is more water above, and therefore a greater weight pushing down. This is the reason water pressure increases with depth.
The atmospheric pressure at a point is defined as the force acting normally on a unit area around that point, due to the total height of the air column of the atmosphere above it.
Pressure in depth = Atmospheric pressure + (rho) * g * h
where
rho = density of water
g = acceleration due to gravity
h = depth in water
P = Po + rho * g * h
2 * [tex]10^{5}[/tex] = [tex]10^{5}[/tex] + [tex]10^{3}[/tex] * 9.8 * h
h = 10.20 m
h ≈ 10 m
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A simple, direct-current electrical circuit is shown below.
Which of the following does the arrow in the circuit represent?
A
the difference in electric potential
B
the resistance to current flow
C
the direction of current flow
D
the direction of electron flow
The direction of current flow is given by an arrow in the electrical circuit.
Several categories are used to categorise electrical circuits. One-way current only flows through a direct-current circuit. As with most residential circuits, an alternating-current circuit is a channel for transmitting electrical current that pulses back and forth numerous times each second.
A battery or generator, a device that provides energy to the charged particles that make up the current, a device that uses current, such as a lamp, an electric motor, or a computer, and the connecting wires or transmission lines make up an electrical circuit.
A source of electrical power, two wires that can transmit current, and a light bulb make up an electrical circuit. Both wires have one end connected to a cell terminal and the other end connected to a light bulb. When the light bulb is turned off, the electrical circuit is disrupted.
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When both glucose and lactose are present in the media in which e. coli is growing, which is the preferred carbon source?
When both glucose and lactose are present in the media in which E. coli is growing the preferred carbon source of is glucose.
About lac operon:
The lac operon of E. coli contains genes involved in lactose metabolism which is expressed when lactose is present and glucose is absent.The lac repressor and catabolite activator protein (CAP) are two regulators that control the operon's "on" and "off" states in response to lactose and glucose concentrations.A lactose sensor is the lac repressor. When lactose is present, it ceases to function as a repressor, blocking transcription of the operon in its usual state. Through isomer allolactose, the lac repressor indirectly detects lactose.The CAP serves as a glucose sensor. It starts the operon's transcription, but only when the blood glucose level is low. Through the chemical cAMP, CAP detects glucose in an indirect manner.Learn more about the Lac operon with the help of the given link:
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A 90 kg firefighter needs to climb the stairs of a 20-m-tall building while carrying a 40 kg backpack filled with gear. How much power does he need to reach the top in 55 s?
The power required will be equal to 463.3 watt
Power is defined as the rate of work
[tex]P=\frac{W}{t}[/tex]
here P is power , W is work done , t is time taken
work done is defined as force times displacement
W=F×shere s is displacement
here total force will be the weight of the firefighter plus the weight of gear
therefore F=(90+40)×9.8 N
so substituting value in equation of power we get
P=[tex]\frac{25480}{55}[/tex]
p=463.3 watt
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A capacitor is connected across an ac source. Suppose the frequency of the source is doubled. What happens to the capacitive reactance of the inductor?.
The capacitive reactance is reduced by a factor of 2.
Calculation:We know the capacitive reactance is given as,
[tex]Xc = \frac{1}{2\pi fC}[/tex]
where,
[tex]Xc\\[/tex] = capacitive reactance
f = frequency
C = capacitance
It is given that frequency is doubled, i.e.,
f' = 2f
To find,
[tex]Xc[/tex] =?
[tex]Xc' = \frac{1}{2\pi f'C}[/tex]
[tex]= \frac{1}{2\pi 2f C}[/tex]
[tex]= \frac{1}{2} (\frac{1}{2\pi fC} )\\[/tex]
[tex]Xc' = \frac{1}{2} Xc[/tex]
Therefore, the capacitive reactance is reduced by a factor of 2.
I understand the question you are looking for is this:
A capacitor is connected across an AC source. Suppose the frequency of the source is doubled. What happens to the capacitive reactant of the inductor?
The capacitive reactance is doubled.The capacitive reactance is traduced by a factor of 4.The capacitive reactance remains constant.The capacitive reactance is quadrupled.The capacitive reactance is reduced by a factor of 2.Learn more about capacitive reactance here:
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What effect does the magnetic field have on the speed of the proton? does the proton move faster in one region than the other? why or why not?
Answer:
1. A proton's magnetic moment arises from a fundamental quantum property called spin, which causes the proton to behave as a tiny bar magnet with a north and a south pole. When placed in an external magnetic field, the proton's spin can either align with the field or flip to orient itself against the field
2. The force can change the direction (velocity) of the proton but not its speed (magnitude).
Which components are a possible representation of vector w if the magnitude of vector -3w is ?
The components that are a possible representation of vector w if the magnitude of vector -3w is ||-3w||=15 are:
<-3,4><0,-5>What are the vector about?From the question, we were given:
|-3w| = 15
3|-w| = 3|w| = 15
Hence:
|w| = 15/3
|w| = 5
If vector w is represented by <-3,4>, then:
[tex]\sqrt{(-3)^2 + (4)^2} \\\\\\\sqrt{25} = 5[/tex]
If vector w is represented by <0,-5>
[tex]\sqrt{(0)^2 + (-5)^2} \\\\\\\sqrt{25} = 5[/tex]
Therefore, The components that are a possible representation of vector w if the magnitude of vector -3w is ||-3w||=15 are:
<-3,4><0,-5>See full question below
Which components are a possible representation of vector w if the magnitude of vector -3w is ||-3w||=15?
<1,-9>
<-3,4>
<4,5>
<-5,-3>
<0,-5>
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A transmission line strung 7.0 m above the ground carries a current of 500 A. What is the magnetic field on the ground directly below the wire
Answer:
Approximately [tex]143\; {\rm T}[/tex] assuming that this transmission line is straight and infinitely long.
Explanation:
Lookup the permeability of free space: [tex]\mu_{0} = 4\, \pi\; {\rm T \cdot m \cdot A^{-1}[/tex].
Consider an infinitely-long straight wire in empty space carrying a current of [tex]I[/tex]. At a distance of [tex]r[/tex] from this wire, the magnitude of the magnetic field from the wire would be:
[tex]\begin{aligned} B &= \frac{\mu_{0}\, I}{2\, \pi\, R}\end{aligned}[/tex].
In this question, it is given that [tex]I = 500\; {\rm A}[/tex]. At a distance of [tex]R = 7.0\; {\rm m}[/tex] from this wire, the magnitude of the magnetic field from this cable would be:
[tex]\begin{aligned} B &= \frac{\mu_{0}\, I}{2\, \pi\, R} \\ &= \frac{(4\, \pi \; {\rm T \cdot m \cdot A^{-1}}) \, (500\; {\rm A})}{(2\, \pi)\, (7.0\; {\rm m})} \\ &\approx 143\; {\rm T}\end{aligned}[/tex].
classify each polynimal based on the number of terms it contains
Polynomials can be classified based on the number of terms is contains which may be monomial, binomial, or trinomial.
What are polynomials?Polynomials are algebraic expressions that contains a constant that is multiplied by one or more variables.
Monomials is a type of polynomial that has only one term. From the question, the monomial is 10xyz^3.Binomial is a type of polynomial that has only two terms. From the question, the binomial are 8x^2+0.25 and -x^2y^2+2y.Trinomial is a type of polynomial that has only three temrs. From the question, the trinomial are -2x^2-x+3.5 and x^3y^4+2x^2y-3z.Learn more about polynomials here:
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The complete question:
Classify each polynomials based on the number of terms it contains.
-2x^2-x+3.5
10xyz^3
-x^2y^2+2y
8x^2+0.25
x^3y^4+2x^2y-3z
Although most astronomers assume dark matter really exists, there is at least one other possible explanation for the phenomena attributed to dark matter. What is it?.
Although most astronomers assume dark matter really exists, there is at least one other possible explanation for the phenomena attributed to dark matter. What is it?
It's possible that our understanding of how gravity behaves on galaxy-scales is inaccurate or lacking in some way.
What is dark matter in space?We surmise that dark matter exists based on its gravitational pull on visible matter. In order to rule out the idea that our comprehension of gravity is leading us to incorrectly infer the presence of dark matter, the majority of scientists believe it to be extremely unlikely that there is a problem with our knowledge of gravity. As long as it is too faint for us to perceive beyond the halo of our galaxy, astronomers regard dark matter to be "dark." If a human were to be hurled into the halo of our galaxy, they might end up being dark matter. An estimated 85% of the universe's mass is assumed to be made up of dark matter, a hypothetical type of stuff. Dark matter is so-called because it doesn't seem to interact with the electromagnetic field, which means it doesn't emit electromagnetic radiation like light or absorb electromagnetic radiation like it does. As a result, it is hard to detect. Numerous astrophysical observations support the existence of dark matter, including gravitational effects that cannot be described by the gravity theories currently in use without the presence of more matter than can be observed. Because of this, the majority of scientists believe that dark matter is prevalent in the universe and has greatly influenced its structure and evolution.
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