a 25-ft long crane supported at its lower end by a pin is elevated by a horizontal cable as shown in the figure. a 250-lb load is suspended from the outer end of the crane. the center of gravity of the crane is 10 ft from the pin, and the crane weighs 200 lb. what is the tension in the horizontal cable?

Answers

Answer 1

By dividing the applied force by the sine of the angle and multiplying the result by the horizontal component of the tension force.

Explain about the tension force?

Any physical object that is in contact with another one can apply forces to that object. Depending on the types of objects in contact, we name these contact forces differently. We refer to the force as tension if a rope, string, chain, or cable is one of the objects applying the force.

The process of pulling water from a well is one of the clearest examples of tension forces. It makes use of a rope that is attached to the pulley with one end and the bucket handle with the other. When this rope is stretched by an external force, tension is produced.

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Related Questions

What is the Inertia prasent in a stretched rubber

Answers

Answer:

inertia of motion ..........

how does the frequency of the transverse wave change as it moves into a new medium, from a gas to a liquid?

Answers

Transverse waves cannot be formed in liquids or gases because they lack the ability to bend their shape. Transverse waves include, for instance, light waves.

What is Transverse wave?Transverse waves are a particular sort of wave motion where the particle movement is perpendicular to the direction of wave propagation. Both the surface of liquids and solids can produce it.A traveling wave whose oscillations are perpendicular to the wave's direction is said to be transverse. By fastening one end of the string and moving the other up and down, you can easily make a wave on a horizontal piece of string.Because the particles move in a direction that is opposite to the direction of the wave, this sort of wave is given its name. Transverse waves may be electromagnetic or mechanical in nature. A disturbance that moves through a medium is called a mechanical wave.

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imagine we've discovered a planet orbiting another star at an average distance of 1 au with an orbital period of 6 months. the planet has a moon that orbits the planet at the same distance as our moon, but it takes 2 months to complete an orbit. what can we infer about this planet?

Answers

This planet is less massive than the Earth, as we can deduce.

What is meant by the orbital period?

A measure of how long it takes for one complete orbit of a celestial body to complete In terms of time, "the orbit period depends on the satellite altitude." the length of time needed for one cycle of a phenomenon that repeats itself frequently.

What are rotation and revolution?

An object rotating around its axis is referred to as turning. An object's orbital movement around another thing is called a "revolution." A 24-hour day, for instance, is created when the Earth rotates on its axis. The 365-day year results from the Earth's rotation around the sun.

Therefore, it is lesser massive than Earth.

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when a mass m1is placed on top of a spring and allowed to come to rest, the spring iscompressed by an amount x1. how much would the spring compress if it is an elevatoraccelerating upwards at 3g and has a mass of 4m1placed on top of the spring?a)16x1b)12x1c)4x1d)7x1e)8x

Answers

The spring compresses if it is an elevator accelerating upwards at 3g is Option A. a)16x

Acceleration is the rate of change of the velocity of an item with appreciation to time. Accelerations are vector portions. The orientation of an item's acceleration is given by the orientation of the net pressure appearing on that object.

Calculation:-

Gravitational acceleration = g

Spring constant of the spring = k

Mass of the first block = m1

Compression of the spring due to the first block = X1

m1g = kX1

Mass of the second block = 4m1

Upward acceleration of the elevator = 3g

The force from the spring on the second block = F

Compression of the spring due to the second block in the elevator = X2

From the free-body diagram of the 4m1 block,

(4m1)(3g) = F - 4m1g

F = 16m1g

kX2 = 16m1g

kX2 = 16(kX1)

X2 = 16X1

Compression of the spring due to a 4m1 block placed on it in an elevator accelerating upwards at 3g = 16X1.

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which has a greater luminosity, a star with absolute magnitude -2 or a star with absolute magnitude 13 ?

Answers

The total amount of energy that a star emits each second is measured by its luminosity.

What is Luminosity and magnitude?Some stars are noticeably brighter than others as one looks up at the night sky above the Earth. A star's brilliance, however, is influenced by its makeup and distance from the planet.A star's apparent magnitude, or how bright it appears to be from Earth, and absolute magnitude, or how bright it looks at a standard distance of 32.6 light-years, or 10 parsecs, are words used by astronomers to describe star brightness. (Light travels approximately 6 trillion miles (10 trillion kilometers) in a year, or one light-year.) A star's brightness, or how much energy (light) it radiates from its surface, is another quantity that astronomers measure.Although the concept of measuring star brightness is not new, astronomers now use more sophisticated tools to make the calculation.

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The equalizing temperature changes in response to changes in external forces of the boundary conditions of climate. What is this about?.

Answers

Answer:

It's climate sensitivity.

a 1,400 kg airplane encounters a 200 n headwind that slows it down. if the airplane was originally traveling 230 m/s, how long (in s) will it take the headwind to slow the airplane to 120 m/s?

Answers

A 1,400 kg airplane encounters a 200 newton headwind that slows it down. if the airplane was originally traveling 230 m/s .  It take 12 minutes for the headwind to slow the airplane to 120 m/s

Force = mass * acceleration

- 200 N = 1400 * ( change in speed / time interval )

- 200= 1400 * (120 - 230 / time )

-200 = 1400 * ( -110 / time )

time = 770 seconds = 12 minutes

It take 12 minutes for the headwind to slow the airplane to 120 m/s

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what would happen if you strike the pipe with supports placed at the nodes for the first vibration mode

Answers

If you strike the pipe with supports placed at the nodes for the first vibration mode, you will experience a vibration that has a frequency of about 5 Hz.

The amplitude of this vibration will be approximately 1.5 mm and it will occur in a single direction. This means that the pipe will vibrate up and down, but not side to side.

The vibrations caused by striking the pipe will not last very long. In fact, they are only likely to last for about 0.1 seconds before they disappear entirely. They may also cause damage to nearby objects like walls or furniture if they are located too close to where you strike the pipe.

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A meteor is observed to explode in the sky.
A third of a minute later a "boom" is heard.
Knowing sound travels at 300 m/sec,
how far away did it break up?(in meters)

Answers

Answer:

Explanation:

Given:

t = (1/3) min = (60/3) s = 20 s

V = 300 m

_______________________

D - ?  

Distance:

D = V·t

D = 300·20 = 6 000 m

Fill in the information below using the knowledge you just learned of the periodic table.

1. What is the name of this element?

2. What is the atomic number of this element?

3. What is the atomic mass of this element?

4. What is the symbol for this element?


Answers

1. Chromium
2. 24
3. 51.996
4. Cr

to what maximum height can water go as it goes into a 3.19-cm-diameter nozzle from a 9.00-cm-diameter fire hose while carrying a flow of 30.5 l/s? ignore drag, and assume that the nozzle points straight up.

Answers

Bernoulli's equation formula is a relation between pressure, kinetic energy, and gravitational potential energy of a fluid in a container. The formula for Bernoulli's principle is given as follows: p + 1 2 ρ v 2 + ρ g h = c o n s t a n t.

An object's kinetic energy is the energy it has as a result of motion. Applying force is necessary if we want to accelerate an object. We have to put in work to apply a force. After the work is finished, the object will be moving at a new, constant speed because energy has been transferred to it. The science of fluid mechanics examines how fluids—including liquids, gases, blood, and plasma—behave both at rest and while moving. There are numerous uses for fluid mechanics in astrophysics, chemical and mechanical engineering, and biological systems.

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Two projectiles of mass and are fired at the same speed but in opposite directions from two launch sites separated by a distance . they both reach the same spot in their highest point and strike there. as a result of the impact they stick together and move as a single body afterwards. find the place they will land.

Answers

Two projectiles of mass and are fired at the same speed but in opposite directions from two launch sites separated by a distance, will land at a place x = D/2 [ 1+{ (m₁ - m₂) / m₁ + m₂)}

This is calculated using the conservation of linear momentum in the horizontal direction as ,

(vm₁vₓ₁ - m₂vₓ₁ ) ₓî = (m₁ + m₂) vₓ₂ ₓî

vₓ₂ = {(m₁ - m₂) / m₁ + m₂)} × vₓ₁

vₓ₂ = {(m₁ - m₂) / m₁ + m₂)} × v Cos Θ

t max = vₓ₁ / g

=  v Sin Θ / g

x =(D / 2) + vₓ₂t max

= (D / 2) { {(m₁ - m₂) / m₁ + m₂)} × v² Sin Cos Θ / g } ------ (1)

now,

D = 2 vₓ₁vₓ₂ / g

D / 2 = v² Sin Cos Θ / g

From equation (1) we get,

x = D/2 [ 1+{ (m₁ - m₂) / m₁ + m₂)}

Hence , D/2 [ 1+{ (m₁ - m₂) / m₁ + m₂)} is the place they will land.

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If you have a Corvette with a mass of 1,054 kg and a velocity of 48m/s, find the kinetic energy in J.

Answers

Kinetic energy of Corvette with a mass of 1,054 kg and a velocity of 48m/s is 12,14,208 J

What is kinetic energy?

Kinetic energy is a type of power that an item or particle possesses as a result of motion. An object accelerates and acquires kinetic energy when it undertakes work—the transfer of energy—by being subjected to a net force. Kinetic energy is one of the properties of a moving object or particle, which depends on both mass and speed. The type of motion can be any combination of vibration, rotation on an axis, and translation (or transit along a path from one spot to another).

A body's translational kinetic energy is equal to 1/2mv2, or one-half of the product of its mass, m, and square of its velocity, v.

Here,

m = 1,054 kg

v = 48 m/s

KE = ?

KE = 1/2 mv²

KE = [tex]\frac{1}{2}[/tex] × 1054 × 48²

KE = 0.5 × 1054 × 2304

KE = 12,14,208 J

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you need to design a 60.0-hz ac generator that has a maximum emf of 5145 v. the generator is to contain a 160-turn coil that has an area per turn of 0.94 m2. what should be the magnitude of the magnetic field in which the coil rotates?

Answers

The magnitude of the magnetic field that is required in which the coil should rotate in order to produced required EMF is 0.09T.

The EMF induced in a rotating coil is given by the relation,

E = NBA(2πf)

Where,

E is the EMF induced,

N is the number of turns,

B is the magnetic field,

A is the area of the coil,

f is the frequency of the generator.

The frequency is given to be 60Hz, the EMF induced is 5145V, the number of coils is 160 turns and the area of the coil is 0.94m², putting the values,

5145 = 160 x B x 0.94 x 2 x 3.14 x 60

B = 0.09 T.

So, the magnitude of the required magnetic field is 0.09T.

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two different capacitors, both charged to 1.5v by the battery, which will cause the light to stay lit longer, the one with the larger or smaller capacitance? explain what you did and observed to answer this question.

Answers

The capacitor with a larger capacitance will allow the bulb to remain lit for a longer period of time as compared to the capacitor with a smaller capacitance. We first created the largest capacitance by decreasing the separation and increasing the area and connected it to 1.5 V.

We then disconnected it and connected it to the bulb and observed how it was glowing. Then we obtained the lowest capacitance by increasing the separation and decreasing the area and again connected it to 1.5 V.  Again, we disconnected it and connected it to the bulb and observed how it was glowing.

If you place a capacitor in a circuit containing a light bulb and a battery it will first charge the capacitor, and during that charge a non-zero current will flow through the circuit, lighting the light bulb. Capacitors can carry more current as the frequency of the supply voltage increases. As we have seen, alternating current can flow through a circuit with capacitance. The apparent resistance of a capacitor in an AC circuit is less than its DC resistance.

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Can a spectrophotometer be used to measure the absorption of a particular wavelength of light that is not visible to the human eye?.

Answers

Yes, a spectrophotometer can be used to measure the absorption of a particular wavelength of light that is not visible to a normal human eye.

Even though we can't directly perceive this light's absorption, it can be quantified. We may calculate concentration by using a spectrophotometer, which detects the absorption of light at particular wavelengths (whether visible or not) by a solution. The number of chemicals in a solution or the amount of light absorption may be measured using the common and affordable method of spectrophotometry.

Each substance in the solution either absorbs or transmits light over a certain wavelength when a light beam is directed through the sample. Combining them with colored derivatives that are visible and measurable. Another is that colorless substances typically absorb light from the part of the spectrum that is invisible to the unaided eye, as measured by a spectrophotometer.

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Which of the following is not a method of making magnets? A. Induction B. Beating a magnet on an object C. Electromagnetic D. Rubbing a magnet agains an object​

Answers

Beating a magnet on an object is not a method of making magnets. The correct option to this question is B.

What are methods to prepare magnet?

Paper-clip  Note Magnet

Making a magnet out of a paper clip is the simplest method.

Collect goods: A small piece of metal can be used to create a quick temporary magnet, like a paper clip or a refrigerator magnet.

The induction approach entails merely bringing the magnetic material (soft iron) close to a powerful magnet without making contact.

Magnet using the electro magnetic approach in an image

Utilizing transmitters, electromagnetic (EM) techniques produce powerful, time-varying main magnetic fields that cause electrical currents to flow through conductive rocks.

Instead of moving it back and forth in the same direction, rub the paperclip magnet against the object. To fire a game, make the same swift action.

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the systems shown are in equilibrium. if the spring scales are calibrated in newtons, what do they read?

Answers

Newton's first law states that an object at rest will remain at rest, and an object in motion won't change its velocity while the equilibrium condition is met.

When a system is in equilibrium then?When Newton's first law is true, the thing is in its equilibrium condition. When all external forces acting on an object (including moments) are balanced, that object is said to be in equilibrium in the reference coordinate system. This indicates that all external forces and moments acting on this item have a net effect of zero. When an object is at rest or moving with a constant speed in a reference coordinate system, respectively, they are said to be in static equilibrium and dynamic equilibrium.The inertial force produced by the velocity change can be measured by multiplying the mass with the translational acceleration or the mass moment of inertia with the angular acceleration.

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a 60-kg uniform board 2.4 m long is supported by a pivot 80 cm from the left end and by a scale at the right end. how far from the left end should a 40-kg child sit for the scale to read zero?

Answers

Should a 40-kg youngster sit for a 60-kg uniform board's scale to read zero at x = 0.61 m from the left end Support for the 2.4 m long piece comes from a pivot 80 cm from the left end and a scale at the right end.

Given the information that M = 60 kg and m = 40 kg, Force is viewed as a reading. The provided pivot point's torque, N, is equal to Force*(2.4 - 0.80) = 1.6 Force. (counterclockwise)

0.4*60*9.8 = 235.2 N-m is the torque of magnesium about the specified pivot point (clockwise)  

Mass m should be positioned to the left scale of the pivot, and its torque should be calculated as follows:

mg*(0.80 - x) = 40*9.8*(0.80 - x) = 392

when Force = 100 N

note 1.6Force = 160 235.2 (0.80 -x)

160 + 392(0.8 - x) = 235.2

x = 0.61 m

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light of wavelength 633 nm is incident on a narrow slit. the angle between the first diffraction minimum on one side of the central maximum and the first minimum on the other side is 1.20 degrees. what is the width of the slit?

Answers

When ray estimation of geometric optics cannot be used, wave optics—also known as physical optics—is concerned with the study of numerous phenomena like polarization, diffraction, interference, and other occurrences.

wavelength of light = 633 nm = 633*10-9 m,

the angle θ = 1.20 / 2 = 0.6

condition for diffraction minimum,

d sin θ = mλ

for first minimum n = 1

d sin θ = λ,

and as a result,

slit width d = λ / sinθ = (633*10-9 m) / sin0.6 = 6.04×10 −5m

The various wave optics kinds are:

Coherent and Incoherent Wave AdditionDiffraction.The Huygens Rule.Young's Experiment with Light Wave Interference.Polarisation.Using the Huygens principle, plane waves can be refracted and reflected.

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is there a way of getting the cockpit from turning black after you get so high on the x plane 11 avro rj 100 jet?

Answers

Slewing the aircraft at low altitude is the only way of getting the cockpit from turning black after you get so high on the x plane 11 avro rj 100 jet. These are the traditional aircraft variety.

If you fly at high altitude in an aircraft which is not pressurized (or with wrong pressurization settings), the cockpit and external views will darken and then go black. If it happens, try slewing the aircraft at low altitude (<10.000 ft) and see if the image reappears after a while.

An aircraft is a vehicle or machine that is able to fly by gaining support from the air and has cockpit. It counters the force of gravity by using either static lift or by using the dynamic lift of an airfoil, or in a few cases the downward thrust from jet engines.

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a basketball (hollow sphere) starts from rest and rolls down a hill without slipping. the hill is 70 meter high. total mechanical energy is conserved. find the linear speed of the basketball at the bottom in m/s.

Answers

The linear speed of the basketball at the bottom in m/s is 37.41 m/s.

The mechanical energy basket ball is conserved and the basket ball starts from rest. and roll down a hill of height 70m.

If mechanical energy is conserved,

Potential energy at top + kinetic energy at top = potential energy at bottom + kinetic energy at bottom.

At bottom, there is no potential energy, and at top, there is no kinetic energy.

Potential energy at top = kinetic energy at bottom.

Mgh = 1/2Mv²

M is the mass of the basketball,

v is the linear speed at the bottom,

h is the height of the ball.

Putting values,

v = √(2gh)

v = √(2x10x70)

v = 37.41m/s.

The speed of the basketball at the bottom is 37.41 /s.

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What type of mirror is being used in the image?

A. Plane
B. Concave
C. Convex

Answers

Answer:

b) Concave mirror

Explanation:

The type of mirror being used in the image is concave mirror. Dentist always use concave mirror to see patient's teeth. Hence, the option (b) is correct answer.

Answer: b or

✔ concave

Explanation:

What happens to the energy in a system of magnets when the magnetic force causes two magnets to move?.

Answers

When the two magnets are made to move, the energy of the system in the system tends to change potential energy into the kinetic energy

Potential energy is the energy stored in the body while is at rest which would turn into kinetic energy when the object will initiate motion. This conversion of potential energy to kinetic energy is understood by the Work-Energy theorem. The kinetic energy is formulated as,

K.E. = 1/2 mv²

where K.E = Kinetic energy

m = mass of an object

v = velocity of the object

The work-energy theorem is stated as the products of all the forces acting on the system are equal to the difference in kinetic energies.

∑W = ΔK.E

where W = Work done on the system

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based on the output, which is the best reason to use a power model to describe the relationship between the length and period of a pendulum? the standard deviation of the residuals is small.

Answers

The scatter plots of log (length) vs. log (time) have a linear relationship, while the residual plot lacks any discernible patterns.

What is power model equation?

Learn to identify situations that can be described by power models, inverse power models, and quadratic models in the "Power Models" unit. You'll also learn to compare patterns in tables and graphs of models with the formulas y = ax2, y = ax3, y = a/x2, y = a/x3, and y = ax2 + bx + c.

They also start to grasp the concept of rate of change within the context of these models. Here, some specific abilities are developed, such as simplifying exponential and radical expressions and solving quadratic equations graphically. The terms and ideas of direct and inverse variation are also taught.

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a ball drops some distance and loses 30 j of gravitational potential energy. do not ignore air resistance. how much kinetic energy did the ball gain? a ball drops some distance and loses 30 j of gravitational potential energy. do not ignore air resistance. how much kinetic energy did the ball gain? more than 30 j less than 30 j exactly 30 j

Answers

Thus, more than 30 J of potential energy can be loosed by the ball. Thus, the gravitational potential energy of the ball is more than 30 J.

If there is no air resistance, the ball's potential energy is entirely transformed into kinetic energy. When air resistance is taken into account, a portion of the potential energy is used to overcome it. Thus, AU > AKE. In the current scenario, a ball gains 30 J of kinetic energy while falling and is treated as encountering air resistance. The energy that an object retains due to its position in relation to other objects, internal stresses, electric charge, or other factors is known as potential energy in physics. The potential energy will be transformed into kinetic energy if the stones fall. High on the tree, branches have the potential to fall, which gives them energy. Chemical potential energy exists in the food we eat.

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what is the direction of the frictional force exerted on a coffee cup being pulled to the right across a table?

Answers

To the left. When a force is applied to stop it from moving, frictional force provides resistance.It always moves in the opposite direction of an item in motion

What is meant by frictional force?When a force is applied to stop it from moving, frictional force provides resistance.As a result, it always moves in the opposite direction of an item in motion.Friction acts on the right when force is applied to the left. The force produced by two surfaces coming into contact and sliding against one another is referred to as frictional force.The following variables impact the frictional force:Surface roughness and the amount of force pressing them together have the biggest an impact on these forces.A force that is applied to an object by a person or another object is known as an applied force.A desk is being subjected to applied force if someone is pushing it across the room.The person's force applied to the desk is known as the applied force.

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a stomp rocket is launched straight into the air and is being watched by students 500 meters away. after 2 seconds, when the angle of elevation is the angle is increasing at a rate of 0.4 radians per second. how fast is the stomp rocket rising at that moment?

Answers

Using the concepts of pressure, we find that 625m[tex]s^{-1}[/tex] is the speed of the stomp rocket rising at that moment when it is watched by students 500 meters away. after 2 seconds, when the angle of elevation is the angle is increasing at a rate of 0.4 radians per second.

We know that when an object is very far away, at the centre of that object there is an angle enclosed by the observer and that is given

angle=(length of arc)/radius of the arc.

θ=l/r

So, we are given that length of arc is 500 metres and angle is 0.4 radians/sec.

So,=>0.4=500/r

      =>r=500/0.4

       =>r=1250m

Now we are given the time when it is observed i.e. is 2 seconds.

So, we apply distance speed formula.,

which is Distance=Speed × Time

            =>1250=Speed×2

              =>Speed=1250/2

              =>Speed =625m[tex]s^{-1}[/tex].

Hence, when a stomp rocket is launched straight into the air and is being watched by students 500 meters away. after 2 seconds, and the angle of elevation is the angle is increasing at a rate of 0.4 radians per second, the speed of stomp rocket is 625m[tex]s^{-1}[/tex].

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Protons carry ___ compared to electrons.
A) an equal magnitude of charge
B) more magnitude of charge
C) less magnitude of charge
Pick ONE only.

Answers

Answer:

Explanation:

Protons carry   an equal magnitude of charge compared to electrons.

A) an equal magnitude of charge

Protons carry an equal magnitude of charge compared to electrons. Thus, option A is correct.

A proton is a stable subatomic particle occurring in all atomic nuclei, with a positive electric charge equal in magnitude to that of an electron, but of the opposite sign.

An electron is a stable subatomic particle with a negative electric charge, found in all atoms, and acts as the primary carrier of electricity in solids.

Although the mass of a proton is much larger than that of an electron, the magnitudes of their charges are equal.

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Light passes straight through two vertical polarizers. The axes of the filters are aligned parallel to each other. How does the light that passes through the second filter compare to the light that passed through the first filter?.

Answers

The direction of the polarized light after passing the first and the second filter are the same, however the intensity of the light after passing the first and second polarizer are half and fourth of its original intensity, respectively.

Light polarization is a filter of electromagnetic waves such that it propagates into one transmission axis only.

When light passes through a polarizer, its intensity will decrease by half.

Suppose the intensity of unpolarized light is  I₀,  after passing the first polarizer, its intensity becomes:

I₁ = 1/2 . I₀

After passing the second polarizer, the intensity will further decrease by half, or:

I₂ = 1/2 . I₁

I₂ = 1/2 .1/2 . I₀ = 1/4. I₀

Since both polarizers are vertical filters, then the direction of the polarized light after passing the first and the second filter are the same.

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French answer all please! Drag each label to the correct location. Match the social characteristics with the correct city-state. Males were sent to military school at age 7. Women didnt enjoy the same rights as male citizens and couldnt own property. Boys received formal education in addition to military training. Women were educated and didnt perform household duties. Suppose that 12 inches of wire costs 36 cents. At the same rate, how many inches of wire can be bought for 21 cents? What is Someone who represents the partyViews of a state at a national convention called En Xochimilco s or no What is the slope of the line? algebra 2 please help! A=P(1+r/100)^n express r in terms of A,P, and n the three major types of vertical marketing systems are corporate, contractual, and multiple choice delegated. cooperative. administered. integrated. categorical. Given that the vapor pressure of water is 17.54 Torr at 20 C, calculate the vapor-pressure lowering, AP, of an aqueous solutionthat is 1.80 m in sucrose (C2HO1).Andcalculate the vapor-pressure lowering, AP, of an aqueous solution that is 1.80 m in aluminum chloride. Assume 100%dissociation for electrolytes. Does the point (-2, 7) lie on the graph of y = -2x+1 9(9-10r)+(-8-2r)I don't know how much to do this I need help Find the values of x and y. Implication if the intellectual property rights do not exist using cluesnfrom the movie, place the events in cronological order 20Thomas's job is pretty stressful. He lives in France and his job responsibilities include things like coordinating housing assignments for embassyworkers and handing any disputes between the embassy, those who work for the embassy, and French citizens. Now he is preparing for a meetingwith embassy officials from Germany and Italy. What job does Thomas MOST likely have?O A.O C.O D.diplomatambassadormediumentrepreneur alma won a beauty contest and received $7000 in cash. in 3 years, when alma turns 21, she wishes to go to las vegas. her parents agree to pay for her hotel and air. but she needs spending cash. her credit union will pay 6% per year compounded quarterly. how much will alma have for her trip when she turns 21, if she invests her money in this account? what morphological features have traditionally been used to classify animals, but are now recognized as being less useful in determining evolutionary relationships than originally thought In the middle of a park, there is a fenced off area in the shape of a square with an area of 225 yards. What is the side length of the square? What is the perimeter of the fenced off area? what is a peremiter molecular hydrogen effuses 4.0 times as fast as gas x at the same temperature. what is the molar mass of gas x?