How are an electromagnetic wave’s wavelength and frequency related to the wave’s period of oscillation?.

Answers

Answer 1
The outgoing wave has an amplitude proportional to the maximum separation of charge. Its wavelength λ λ is proportional to the period of the oscillation and, hence, is smaller for short periods or high frequencies. (As usual, wavelength and frequency f f are inversely proportional.)

Related Questions

The gravitational force between two objects is 36 N. What will the new gravitational force be if the distance between them is tripled (x3)? A.4 N B.9 N C.18 N D.27 N

Answers

The new gravitational force when the distance between them is tripled is 4 N.

What is the gravitation force between the objects?

The gravitation force between the objects is calculated by applying Newton's law of universal gravitation.

F = Gm₁m₂/R²

where;

G is universal gravitation constantm is the mass of the objectsR is the distance between the objectsF is the force

From the equation above;

F₁R₁² = F₂R₂²

F₂ = F₁R₁²/R₂²

When the distance is tripled,

R₂ = 3R₁

F₂ = F₁R₁²/(3R₁)²

F₂ = F₁R₁²/9R₁²

F₂ = F₁/9

F₂ = 36 N/9

F₂ = 4 N

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The gravitational force between two object is 36 N then the new gravitational force will be 4 N. Hence, option A is correct.

What is gravity?

Gravity, also referred to as gravitation, is the unchanging force of attraction that binds everything together in mechanics. Being the weakest known force in nature, it has little effect on determining the intrinsic properties of common objects.

F = Gm₁m₂/ R²

From the equation above;

F₁ × R₁² = F₂ × R₂²

F₂ = F₁R₁²/R₂²

According to the question, when the distance is tripled,

R₂ = 3R₁

F₂ = F₁ R₁²/(3R₁)²

F₂ = F₁ R₁²/ 9R₁²

F₂ = F₁ / 9

F₂ = 36 N/9

F₂ = 4 N

Hence, the new gravitational force will be 4 N.

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A girl on a bridge throws a rock
straight down at -12.5 m/s. It hits
the ground 38.4 m below.
How much time did it take?
(Unit = s)

answer is: 1.80 as time
Vf = -30.1

Answers

The time that is taken for the rock to land on the ground from the given height is 1.8 seconds.

What is the time taken?

We know that we can be able to obtain the time that have been taken from the equations of kinematics. In this case, we have to consider the equations of kinematics which have occurred under gravity.

Let us recall that we have the fact the equation that ought to be used here is;

h = ut + 1/2gt^2

u = initial velocity

h = the height attained

t = time taken

g = acceleration due to gravity

We know that in this case, we have to use the equations of the kinematics that we can apply to the rock that is moving under the influence of gravity as to obtain the tome that it would take the rock to be able to land on the ground from the height that we have been given in the question.

Having listed out these parameters;

38.4 = -12.5t + (0.5 * 9.8 * t^2)

38.4 = -12.5t + 4.9t^2

Hence;

4.9t^2 - 12.5t + 38.4 = 0

t =  1.80  s

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two boys hang by their hands from the same tree branch. the branch is straight, and grows out from the tree trunk at an angle of 30 degree above the horizontal. one boy, with a mass of 50.00 kg, is hanging 1.40 m along the branch from the tree trunk. the other boy, with a mass of 33.00 kg, is hanging 2.10 m from the tree trunk. what is the magnitude of the net torque exerted on the branch by the children? assume that the axis is located where the branch joins the tree trunk and is perpendicular to the plane formed by the branch and the trunk.

Answers

Magnitude offers products that automate and provide insights throughout the whole supply chain. Determine and emphasize any bottlenecks, potential delays, and urgent.

Calculation  Magnitude?

Magnitude offers products that automate and provide insights throughout the whole supply chain. Determine and emphasize any bottlenecks, potential delays, and urgent.

The size of the undertaking would have discouraged a regular man due to its importance.

Magnitude is a way to gauge a star's brightness.

inclination of tree from horizontal =30°

mass of first child m[tex]1[/tex]=50kg

distance of first child r[tex]1[/tex]=1.4

mass of first child  m[tex]2[/tex]=33kg

distance of first child r[tex]2[/tex]=2.10

Torque exerted by first child

T[tex]1[/tex]=m[tex]1[/tex] cos 0*r1

T1=50*9.8 cos27*2*1.4

=489.7513N-M

Torque exerted by second child

T2=m2 cos0*r2

T2=33 *9.8cos27*2

=292.7374

Both torques are in same sense therefore

T[tex]net[/tex]=T1+T2

T[tex]net[/tex]=489.75+292.73

T[tex]net[/tex]=782.48N-m

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it takes 5 seconds to change his velocity from 30 m/s to 40 m/s, what is his acceleration? 8) jack and tom are skiing down two separate incline planes. jack is a better skier, so he is on the incline making a larger angle to the horizontal. who experiences more acceleration along the slope? (ignore friction)

Answers

In mechanics, acceleration refers to the rate at which an object's velocity with respect to time varies.  The acceleration is  8.

What is acceleration?In mechanics, acceleration is the rate at which an object's velocity varies with respect to time. They are vector quantities and accelerations. The acceleration of an object is determined by the direction of the net force acting on it.Acceleration is the rate at which the speed and direction of a moving object change over time. Acceleration is defined as the rate at which something moves faster or slower. Because the direction of motion on a circle changes all the time, even when the speed remains constant.Acceleration is defined as the rate at which velocity changes over time. It is also known as an increase in velocity per second. The SI unit of acceleration is the meter per second squared, abbreviated as ms2.

Therefore,

Acceleration = 40/5 = 8

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Johnny is driving North at 42 mph. Then drives west at 37 mph. What is the resultant velocity?
A) 55.9 mph North
B) 5 mph West
C) 55.9 mph Northwest
D) 79 mph Northwest

Answers

If Johnny is driving North at 42 miles per hour and drives west at 37 miles per hour, then the resultant velocity would be 55.9 mph north, therefore the correct answer is option A.

What is Velocity?

The total displacement covered by any object per unit of time is known as velocity. It depends on the magnitude as well as the direction of the moving object.

As given in the problem Johnny is driving North at 42 mph. Then drives west at 37 mph.

The resultant velocity of the Jhonny = √ ( 42² + 37² )

                                                            = 55.97 miles per hour

Thus, the resultant velocity of Jhonny would be 55.9 mph north, therefore the correct answer is option A.

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Pick the answer that correctly completes the sentence: as a sound wave approaches an observer the frequency will _____, the wavelength will____, and the speed of sound will______.A) decrease; increase; stay the same B) increase; increase; increase C) increase; decrease; stay the same D) decrease; decrease; increase

Answers

To find

Pick the answer correctly that fits the sentence.

Explanation

In a doppler effect, when a sound source apporaches a observer, its frequency increases. As wavelength is inversely proportional so the wavelength decreases. Speed of sound ina given medium is constant, so the speed of sound doesnot change

Thus,

as a sound wave approaches an observer the frequency will increase, the wavelength will decrease, and the speed of sound will stay the same.

Conclusion

The correct option is C) increase; decrease; stay the same.

a satellite moves in a circular earth orbit that has a radius of 8.75 x 106 m. a model airplane is flying on a 20.3-m guideline in a horizontal circle. the guideline is nearly parallel to the ground. find the speed of the plane such that the plane and the satellite have the same centripetal acceleration.

Answers

The speed of the plane is 32.519 m/s

Given radius of satellite orbit is [tex]r_{1} = 8.75[/tex] × [tex]10^{6} m[/tex]

Also, Orbital velocity is given by

[tex]v = \sqrt{\frac{GM}{r} }[/tex]

where M is the mass of the earth which is equal to [tex]5.98[/tex] × [tex]10^{24}[/tex] kg

G = [tex]6.67[/tex] × [tex]10^{-11}[/tex]

[tex]v = \sqrt{\frac{(6.67 * 10^{-11} )(5.98*10^{24}) }{8.75 * 10^{6} } }[/tex]

[tex]v=21.35[/tex] × [tex]10^{3}[/tex] m/s

Centripetal acceleration is given as

[tex]a_{c} = \frac{v^{2} }{r}[/tex]

[tex]a_{c} = \frac{(21.35 * 10^{3} )^{2} }{8.75 * 10^{6} }[/tex]

[tex]a_{c} = 52.094 m/s^{2}[/tex]

For model airplane

[tex]a_{c} = \frac{v^{2} }{r}[/tex]

[tex]52.094 = \frac{v^{2} }{20.3}[/tex]

v = 32.519 m/s

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An electric drill transfers some energy wastefully. Aside from heat, what else carries the energy that it transfers wastefully?

Answers

Answer:

Explanation:

Mechanical energy

Answer:

The right answer is "sound" or "sound waves"

Explanation:

Electric drills are noisy, but this is not useful, so sound is a wasted energy transfer.

what is the speed of the block when it has moved a distance of 0.0150 m from its initial position? (at this point the spring is compressed 0.0220 m .)

Answers

The speed of the block when  it has moved a distance of 0.0150 m from it's initial position is  0.32 m/s .

When a spring is compressed by a force F, the potential energy is stored on it.

If the spring is released, the potential energy turns into kinetic energy.

The object is replaced by the call-back force which occurs on the spring F' = K.∆x

K= 815 N/m

∆x= 0.0190 m

F' = 815.0.019 = 15.8 N

Ff= k.m.g

Ff = 0.35 . 2.55. 9.81 = 8.76 N friction force acceleration of object is-

a= F' - Ff/m

V^2 = 2.a . displacement

V^2 = 2.264. 0.0200.

V^2 = 0.1056

V=√0.1056.

V= 0.32 m/s

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What is the equation for momentum (p)?

Answers

Answer:

p(momentum) = mass(kg) x velocity (m/s)

Explain some endless capabilities of our vast universe?

Answers

ANSWER:

STEP-BY-STEP EXPLANATION:

Answer:

It is impossible to answer that as we could discover more than we know now in years to come with advanced technologies

Explanation:

Help show how you got answers

Answers

The speed at which a wave of frequency of 14 Hz and a wavelength of 3 m will travel is  42 m / s

v = λ / T

f = 1 / T

v = f λ

v = Wave speed

λ = Wavelength

T = Time period

f = Frequency

f = 14 Hz

λ = 3 m

v = 14 * 3

v = 42 m / s

Frequency is the number of time an event occurs repeatedly in an unit amount of time. Its unit is hertz which in terms of SI unit is [tex]s^{-1}[/tex].

Therefore, the speed at which the wave will travel is 42 m / s

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what is the magnitude n of the normal force on the block of mass m? (b) (5 points) what direction does the hanging block m move, up or down? circle one. (c) (18 points) what is the common magnitude a of the acceleration of the blocks? (d) (14 points) what is the magnitude t of the tension in the string? (e) (6 points) what is the speed of the hanging mass after a time period of 2.0 seconds?

Answers

a) The normal force on the block of mass M is 76.383 N in magnitude.

b) The hanging block goes upward in one direction.

c) The block's acceleration has a common magnitude of 8.11 m/s2.

d) The string's tension measurement is 161.19 N in magnitude.

e) After 2.0 seconds, the speed of the hanging mass is 5.695 seconds.

Simply put, "distance or quantity" is the definition of size. In terms of motion, it shows the absolute or relative size, direction, or movement of an object. It is used to describe something's size or scope. Magnitude in physics typically refers to size or quantity.

It's given that:

M = 45.2 kg.

µk = 0.10.

m = 9.0 kg.

angle = 30 degree

A) The block's mass M and the normal force's strength N:

N - mgcosθ = 0

= 9 * 9.8cos 30

= 76.383N

B) The hanging block's direction shifts upward.

C) the typical magnitude of the acceleration of the block is

Mg - T = Ma

(Mg - T) / M = a

(45.2 * 9.8 - 76.383) / 45.2 = a

[tex]8.11\frac{m}{s^{2} } = a[/tex]

D) the string's tension, T, in terms of magnitude

T - mg = ma

T = ma + mg

T = 9 * 8.11 + 9 * 9.81

T = 161.19N

E) the dangling mass's speed after a delay of 2.0 seconds

v² - u² = 2as

v² - 0² = 2as

v² = 2as

v = √2as

v = √2*8.11*2

v = 5.695 m/s

COMPLETE QUESTION: Two blocks are connected by a light but sturdy string wrapped around a mass-less pulley. The rough inclined surface makes an angle of 30 degrees with the horizontal. The block on the inclined surface has a mass M = 45.2 kg. Assume the coefficient of kinetic friction between the union of mass M and the inclined plane is µk = 0.10. The vertically hanging block has mass m = 9.0 kg. Assume the blocks begin their motion from rest.

(a) (10 points) What is the magnitude N of the normal force on the block of mass M?

(b) (5 points) In What direction does the hanging block m move, up or down? Circle one.

(c) (18 points) What is the common magnitude of the acceleration of the blocks?

(d) (14 points) What is the magnitude T of the tension in the string?

(e) (6 points) What is the speed of the hanging mass after a time period of 2.0 seconds?

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a car has two headlights, and their power is derived from the car's battery. the filament in one burns out, but the other headlight stays on. are the headlights connected in series or in parallel?

Answers

It is necessary to collimate the light source before using the prisim to  disperse the light so that the light rays entering the prisim are parallel series.

What is colimate?

collimator is a tool for converting a point source's divergent radiation into a parallel beam. To perform specific measurements in spectroscopy, geometrical optics, and physical optics, the light must be collimated.

An optical collimator is made up of a tube with a convex lens at one end and a variable aperture at the other end that is located in the lens' focal plane. To examine the image without parallax, radiation entering the aperture exits the collimator as a parallel beam.

Therefore collimation is needed for the light rays entering the prism to be parallel .

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the one component of the material of the milky way galaxy that prevents us from seeing and photographing the galactic center at optical wavelengths is the one component of the material of the milky way galaxy that prevents us from seeing and photographing the galactic center at optical wavelengths is very cold hydrogen gas. hot hydrogen gas. the glare of light from nearby stars. interstellar dust.

Answers

The one component of the material of the milky way galaxy that prevents us from seeing and photographing the galactic center at optical wavelengths is interstellar dust.

The Milky Way is a vast collection of stars dust and gas. It is called a spiral galaxy because it looks like a spinning windmill when viewed from above or below. The Sun is in one of the spiral arms about 25,000 light-years away from the center of the galaxy. Astronomers have released the first images of a supermassive black hole at the center of our Milky Way.

The results provide overwhelming evidence that this object is indeed a black hole and provide valuable clues about the workings of the giant galaxies thought to reside at the center of most galaxies. This extreme environment exposes you to intense UV and X-rays. But much of this activity is obscured from view by a huge plume of interstellar dust. The center of our Milky Way is hidden from the prying eyes of optical telescopes by clouds of dust and gas.

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why does the sky appear blue in the day vs. red during sunset? I’m looking for an answer that explain s using light rays!!

Answers

Rayleigh scattering makes the sky appear blue in the day and red during sunset.

A clear, cloudless daytime sky is blue because molecules in the air scatter blue light from the sun more than red light. Sun at sunset, appears red or orange because blue light is scattered from your line of sight.

The white light of the sun is a mixture of all the colors of the rainbow. This was demonstrated by Isaac Newton by using a prism to separate different colors to form a spectrum. Colors of light are distinguished by different wavelengths.

The visible portion of the spectrum ranges from red light with a wavelength of about 720 nm to violet with a wavelength of about 380 nm, with orange, yellow, green, blue, and indigo in between. Her three types of color receptors in the retina of the human eye are most responsive to red, green and blue wavelengths, giving us color vision.

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When inflating a balloon, which of the following represents an equal but opposite force acting on the balloon?
A.) releasing the balloon
B) the air entering the balloon
C) tying the balloon
D) the expansion of the balloon

Answers

When inflating a balloon, the expansion of the balloon represents an equal but opposite force acting on the balloon; option D.

What are equal and opposite forces?

Forces are agents which cause a change in the motion of an object moving in a straight line or an object at rest to change its position.

According to the third law of motion, reaction and action are equal and opposite forces.

This law is seen in the inflation of balloons.

When a balloon is being inflated, the force applied in inflating the balloon pushes against the wall of the balloon. The balloon acts in an equal opposite direction by forcing the air molecules together, thus increasing the pressure of the air inside the balloon.

Therefore, an equal and opposite force is exerted by the air molecules o the air molecules.

When the balloon is released, the air is forcefully forced out in the opposite direction.

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Answer:

its D

Explanation:

the person above is correct too

A bar magnet is cut into two pieces from the middle as shown in the figure. Mark the poles on these magnets if it is further broken into smaller pieces?

Giving brainliest!

Answers

If we cut the magnet into smaller pieces as we can see in the image attached to the question then each of the ends of the smaller magnets would form a north and south pole respectively.

What is a magnet?

The term magnet can be used to describe the material that is able to pick up any magnetizable material. We have to note that a magnet is able to create a magnetic field around it. The magnetic field is the vicinity where the impact of the magnet can be felt.

We know that a magnet has two poles, the north pole and the south pole. These are the points where the influence of the magnetic field is greatest In this discussion, we must keep it at the back of our minds that the influence of the magnetic force is stronger at the ends of the magnet than it is at the center of the magnet as it were.

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what is the loudness and softness of music related to specifically? multiple choice question. beats of two tones that are similar in frequency tone color of the instrument producing the sound frequency of the vibration that produces the sound amplitude of the vibration that produces the sound

Answers

The correct answer choice from above among loudness and softness of music in a wave system is connected by means of amplitude of the vibration that produces the sound.

The correct answer choice is option d.

How the loudness and softness of music is linked with amplitude.

In general, the amplitude of a wave of a music is related to how soft or loud a music is as this depends largely on that force of vibration in the the musical system. For instance, when you hit the the wooden or iron door of a building, a soft sound is produced. This happens simply because amplitude.

Be that as it may, a wave is referred to as a disturbance which travels through a particular medium, transferring energy from one point to another point.

So therefore, the amplitude of a wave goes a long way to determine the loudness and softness of music.

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The potential energy of a roller coaster is 50 joules. The kinetic energy of the same coaster is 50 joules. What is the mechanical energy of the coaster?.

Answers

Mechanical energy of the coaster is 100 joules.

We need to know about mechanical energy to solve this problem. Mechanical energy is the sum of the potential energy and kinetic energy of an object. It can be written as

E = KE + PE

where E is mechanical energy, PE is potential energy and KE is kinetic energy.

From the question above, the given parameters are

KE = 50 J

PE = 50 J

By substituting the given parameters, we can calculate mechanical energy

E = KE + PE

E = 50 + 50

E = 100 J

The total energy is 100 joules

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if you have a sharper curve and youa re 60 mph if you decrease the radius of an object traveling in a circle, but keep the velocity the same, what happens to the centripetal acceleration experienced by the object?

Answers

Given a constant speed, the centripetal acceleration of an item travelling in a circle is inversely proportional to the radius of the curve (a=v2/r).

As a result, the acceleration is smaller for a gradual curve with a large radius and greater for a sharp curve with a short radius.

Centripetal acceleration: What is it?

The speed at which a body rotates around a circle is known as centripetal acceleration. When a body moves in a circle, its d is equal to its velocity since velocity is a vector quantity (i.e., it has both a magnitude, the speed, and a direction)  direction is continually changing, which causes a change in velocity, which results in an acceleration.

What is the centripetal acceleration's direction?

The acceleration is brought about by a force that is focused at the, It is referred to as a centripetal force.

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Given a block which is at rest on a perfectly flat smooth surface with no friction. You push with your hand horizontally on the block with some force. If the force on the block= 4.00 N and the block moves a distance of 2.00 m on the table, then what is the work done on the block? A) 1.29 JB) 8.00 JC) 9.31 JD) 3.65 JE) 4.57 J

Answers

ANSWER

B) 8.00 J

EXPLANATION

Given:

• The force applied to move the block, F = 4.00N

,

• The distance the block is moved, d = 2.00 m

Unknown:

• The work done on the block, W

If there is no friction between the block and the table, the only force acting upon the block in the direction of movement is the applied force F. Since the force is applied in the direction of movement, then the angle between the force and the displacement is 0, so the work done on the block is,

[tex]W=F\times d=4.00N\times2.00m=8.00J[/tex]

Hence, the work done on the block is 8.00 J.

Imagine a black hole lacking any accretion disk whatsoever. Would this black hole produce any light? why?.

Answers

Once a beam of light enters a black hole, it can never exit.

Moreover, A black hole is a region where space-time is so curved that every possible path that light could take eventually curves back inside the black hole. As a result, once a beam of light enters a black hole, it can never exit. Because of this, a black hole is truly black and never emits light. It appears as a dark circle silhouetted by an orbiting disk of hot, glowing matter. The supermassive black hole is located at the heart of a galaxy called M87, located about 55 million light-years away, and weighs more than 6 billion solar masses.

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two people push a 2,159. kg car to get it started. an acceleration of at least 3.4 m/s2 is required to start the car. assuming both people apply the same magnitude force in the same horizontal direction, how much force will each need to apply if friction between the car and the road is 310 n? express your answer in scientific notation. n

Answers

The force needed to be applied by each person is 5.150×10^3 N.

The required acceleration is 3.4 m/s2 and the mass of the car is 2,159 kg.

According to Newton's second law:

F = ma

F =  2,159 × 3.4.

F = 7340.6 N

Adding the force of friction into it

F = 7340 + 310

F = 7650.6 N

Since two people need to apply the force

F = 7650 N / 2

F = 3,825.3 N

or

F = 3.825×10^3 N

The force applied by each person to push the car is 3.825×10^3 N.

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An elevator in a hotel starts at ground level. It rapidly moves up to the third floor, where it stops to unload passengers. The elevator then descends to the basement at a slower speed than before.

Identify whether or not the graph correctly represents the story. Explain your answer in 1-2 sentences.

Answers

The graph does not correctly represent the story because the elevator descends to the basement at a faster speed than before.

What is the upward motion of an elevator?

An elevator going up shows uniform linear motion, as elevator will move in a straight line with a constant speed.

This type of motion can be shown using a straight line graph.

The downward motion of an elevator descending or moving downwards can be explained as follows;

An elevator moving downwards shows uniform linear motion, as elevator will move in a straight line with a constant speed.

From the given graph we can conclude the following;

During the upward motion of the elevator, at point A, the elevator moved up gradually.At point B the elevator maintained a constant speedduring the downward motion at point C, the moved down more quickly than during the upward motion.

Thus, from the greater steepness of the downward motion of the elevator than the upward motion, we can conclude that the elevator descends to the basement at a faster speed than before.

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Figure 5 shows a ray of light in an optical fibre.
Figure 5
Inside of optical fibre
What is the name given to the dotted line on Figure 5?
[1 mark]

Answers

         The technology that sends information as light pulses via a glass or plastic fiber is known as fiber optics, or optical fiber. These glass fibers can range in quantity from a few to several hundred in a fiber optic cable. The glass fiber core is encircled by yet another glass layer known as cladding.

What fiber optics does and how it works?

         In fiber optics, data is sent as pulses of light, or photons, that travel over a fiber optic cable. Incoming light is bent at a specific angle due to the differing refractive indices of the glass fiber core and cladding.

       Total internal reflection is the method by which light signals traveling through fiber optic cable bounce off the core and cladding in a series of zigzag motions. Due to the thick glass layers, the light signals move around 30% slower than the speed of light instead of at the speed of light.

     Fiber optic transmission sometimes needs repeaters at a distance to renew, or amplify, the signal throughout its path. By converting the optical signal to an electrical signal, processing that electrical signal, and then retransmitting the optical signal, these repeaters regenerate the optical signal.

      Up to 10 Gbps transmissions can currently be supported by fiber optic connections. A fiber optic cable often gets more expensive as its bandwidth capacity increases.

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two objects were lifted by machine. one object had a mass of 2kg, and was lifted at a speed of 2m/s. the other had a mass of 4kg and was lifted at a rate of 3m/s. Which object had more potental energy while it was being lifted a distance of 10 meters?

Answers

The object having mass 4kg will have greater potential energy as it has larger mass.


What is potential energy  ?

Potential energy is a form of stored energy that is dependent on the relationship between different system components. A spring's potential energy rises when it is compressed or stretched. If a steel ball is raised above the ground as opposed to falling to the ground, it has more potential energy. It is capable of performing more work when raised. Potential energy is a characteristic of systems rather than of particular bodies or particles; for instance, the system made up of Earth and the elevated ball has more potential energy as they become further apart.

U=m g h

The object having mass 4kg will have greater potential energy as it has larger mass.



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Calculate the magnitude of the resultant velocity of a pair of 100 km/h velocity vectors that are at right angles to each other

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The magnitude of the resultant velocity of a pair of 100 km/h velocity vectors that are at right angles to each other is 141.42 km/h.

What is velocity?

When an item is moving, its velocity is the rate at which its direction is changing as seen from a certain point of view and as measured by a specific unit of time.

Given that in the question velocity of a pair of 100 km/h velocity vectors that are at right angles to each other,

Resultant velocity,

v = [tex]\sqrt{v^{2} +v^{2} }[/tex]

 = [tex]100\sqrt{2}[/tex]

 = 141.42 km/h

The resultant velocity of a pair of 100 km/h velocity vectors that are at right angles to each other is  141.42 km/h.

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a spotlight on the ground is shining on a wall away. if a woman tall walks from the spotlight toward the building at a speed of how fast is the length of her shadow on the building decreasing when she is from the building?

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His shadow is shortening at a rate of dy/dt = 0.6m/s at the time.

What is triangle total degrees?

The triangle's three angles add up to a total of 180 degrees

The individual is standing at point D and has his head at point E at the time indicated in the problem.

At that moment, his shadow is visible on the wall at y = BC.

The two right triangles ABC and ADE both contain similar triangles. The ratios on their respective sides in the similar triangles are equal:

AD/AB = DE/BC

8/12 = 2/y

y = 3

If we suppose that the man is x distance from the building, then the distance from the spotlight to the man is 12 x.

12-x/12 = 2/y

1-1/12x = 2 1/y

Let's take derivatives of both sides:

-1/12dx = -2 .1/y²dy

Divide both sides by dt as follows.

-1/12.dx/dt = 2/y²dy/dt

At the time specified:

dx/dy = 1.6m/s

y = 3

Let's connect them

- 1/2 (1.6) = -2.9 dy/dt

dy/dt = 1.6/12×9/2 = 0.6m/s.

At the time in question, this is the pace at which his shadow's length is shortening.

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The complete question is:

"A spotlight on the ground shines on a wall 12 m away. If a man 2 m tall walks from the spotlight toward the building at a speed of 1.6 m/s, how fast is the length of his shadow on the building decreasing when he is 4 m from the building?"

a canon is firing horizontally from the high wall of a castle located in the midst of a flat plain. if i drop a canon ball from the wall where the canon is located, it it takes 3 sec to hit the ground. what do i need to know to find how far away from the wall the canon balls will land when fired from the canon? the exit velocity from the canon, only. no further information is needed. the height of the wall, only.

Answers

D=44.13, Horizontal velocity is unimportant. The time it takes the cannon ball to fall to the ground is the key to determining the height of the cliff. where  that cannon is present.

The speed of any projectile travelling along a Horizontal velocity is known as the horizontal velocity. When a particle or object is launched into the air at an angle other than 90 degrees, it moves along the trajectory path and changes the shape of the curve to a parabolic one.

the speed at which velocity changes over time. Due to its magnitude and direction, acceleration is a vector quantity. The first derivative of velocity with respect to time or the second derivative of position with respect to time are further examples. This is called acceleration.

Distance to the ground is d = 1/2gt^2,

where g is the acceleration rate of gravity (9.80665 m/s^2)

and t = 3 secs.

d = .5×9.80665×9 = 44.13 m.

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Answer: D=44.13, Vertical velocity is not significant. The height of the cliff can be calculated using the time it takes the cannonball to hit the earth. where there is that gun.

Explanation: The horizontal velocity is the rate at which any projectile is moving along a plane. A particle or object that is propelled into the air at an angle other than 90 degrees goes along the trajectory line and transforms the curve's shape into a parabolic one.

the rate of change of velocity over time. Acceleration is a vector number because of its size and directional characteristics. Additional examples are the second derivative of location with respect to time or the first derivative of velocity with respect to time. Here is

Distance to the ground is d = 1/2gt^2,

where g is the acceleration rate of gravity (9.80665 m/s^2)

and t = 3 secs.

d = .5×9.80665×9 = 44.13 m

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