four identical metallic spheres with charges of +5.0 µc, +4.2 µc, −3.8 µc, and −2.8 µc are placed on a piece of paper. the paper is lifted on all corners so that the spheres come into contact with each other simultaneously. the paper is then flattened so that the metallic spheres become separated. (a) what is the resulting charge on each sphere? 0.65 correct: your answer is correct. µc (b) how many excess or absent electrons (depending on the sign of your answer to part (a)) correspond to the resulting charge on each sphere? -4.0625e13 incorrect: your answer is incorrect. what is the charge of an electron/proton? electrons are ---select---

Answers

Answer 1

Four identical metallic spheres with charges of +8.6 UC, +5.0 PC, -4.2 pc, and -5.6 UC are placed on a piece of paper. The paper is lifted on all corners so that the spheres come into contact with each other simultaneously.

What are metallic spheres?

It was a cause single to help charged programmer Gary McKinnon, yet it turned into the springboard for additional cooperation one year after the fact, after Circle principal man Dr. Alex Paterson, became involved. Metallic Circles is the outcome, a 49-minute odyssey that is purposefully separated into just two tracks. This is just valid for a metallic circle. A metallic circle has the property that there can be no static electric field inside it. Consequently, by Gauss' regulation there can be no charge inside it by the same token. The metal liner is utilized as a hindrance against pervasion. Instances of such COPV circles are clear in the accompanying picture where their surfaces are quite stringy by all accounts. Space circle tracked down in Spain.

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Related Questions

a computer's power supply converts mains ac to low-voltage regulated dc power for the internal components of a computer. you are building a new computer. you are deciding which type of power supply to install. which of the following definitions best describes a valid type of power supply?

Answers

In order to prevent overloading of any circuit, dual rail electrical supply includes independent tracks and P C B traces that are used to offset voltage sags between various circuits.

Using conductive paths, tracks, or signal traces etched from copper sheets laminated onto a non-conductive substrate, a printed circuit board, or PCB, is used to mechanically support and electrically link electronic components.

Semiconductors are used by practically all inverters to generate a controlled power output. An input voltage is rectified if the source has an ac input.

It is, therefore, the proper response.

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What is the length of RG, if PR=2 and PG=16? P R G ​

Answers

The length of RG, given the data from the question is 14

Data obtained from the question

From the question given above, the following data were obtained:

Length of PR = 2Length of PG = 16Length of RG =?

How to determine length of RG

We can obtain the length of RG as illustrated below:

Length of PG = Length of PR + Length of RG

Thus,

Length of RG = Length of PG - Length of PR

Length of RG = 16 - 2

Length of RG = 14

Therefore, we can conclude that the length of RG is 14

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Suppose you measured the acceleration due to gravity and got a value of 10.1 m/s2. if the accepted value is 9.81 m/s2 , what is the percent error in your measurement (absolute value only)?

Answers

The percent error in your measurement is 2.95 % error.

here it is for the reason that the actual value is 9.81 [tex]m/s^{2}[/tex].

And the calculated value is 10.1 [tex]m/s^{2}[/tex].

Error = 10.1-9.81

        = 0.29

Now percentage error = [tex]\frac{0.29}{9.81}*100[/tex]

                                   = 2.95 %

So, the required error is 2.95 percent.

To degree the percent errors within the given records we should have the idea of percent and error calculation.

To measure the error we should calculate the difference in the real price and the calculated fee.

And to calculate the proportion we ought to divide the received error cost by using the actual price and multiply by means of a hundred.

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ow many times as strong is the coulomb repulsion between two electrons than the gravitational attraction between the same two electrons? (the distance does not matter.)

Answers

According to this estimate, at any distance, the gravitational force between two electrons is always 4.1 x 10^42 times stronger than the electric force between them.

What is gravitational attraction?

Gravitational attraction definitions. The force of attraction between all masses in the universe, particularly the pull of the earth’s mass on objects that are close to its surface.

Gravitation, gravitational force, and similar terms.

Case Studies of Gravity

The force interacting with the Earth and Sun. the driving force behind the Moon’s revolving orbit around the Earth. The force of the Moon is what drives the tides in the ocean. The force trapping every gas inside the Sun.

What triggers the gravitational pull?

The mass of the Earth is what creates gravity. The combined gravitational force of all of its mass acts on the mass in your body. What gives you weight is that. Moreover, if you lived on a planet with a mass lower than

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the length of the eye and the curvature of the cornea determine the refractive error of an eye. hyperopia, or farsightedness, is produced by a shorter-than-normal eye.

Answers

True, the length of the eye and the curvature of the cornea determine the refractive error of an eye. Hyperopia, or farsightedness, is produced by a shorter-than-normal eye.

What is Hyperopia?

With farsightedness (hyperopia), a common visual issue, you may be able to see far objects clearly but have hazy vision of nearby items.

Your ability to focus is influenced by how farsighted you are. People with severe farsightedness might only be able to see objects that are far away clearly, whereas people with mild farsightedness might be able to see objects that are nearby clearly.

Symptoms

Being farsighted can mean:

Nearby objects might seem hazy

Squinting is required to see clearly.

You experience eye pain or discomfort around the eyes as well as eyestrain.

After performing close work, such as reading, writing, using a computer, or sketching, for a while, you have general eye discomfort or a headache.

A distortion of focus

Your cornea or lens must be uniformly and smoothly bent to allow light to pass.

You have a refractive error if your cornea or lens are not uniformly and smoothly curved, which causes improper light refraction.

When your cornea is overly flat or your eyeball is shorter than normal, you develop farsightedness. Nearsightedness has the opposite impact.

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Suppose you mix an unknown clear liquid with water and the added liquid mixes completely with the water so that no layers are visible. what is most likely true about the unknown liquid?

Answers

polar liquid is most likely true about the unknown liquid.

What exactly are polar liquids?

However, in polar liquids, the uneven charge distribution in the liquid's molecules means that the attractive and repulsive forces do not balance out, and the liquid deflects when exposed to an electric field.

Polar Molecule Examples

Water is a polar molecule (H2O)Because oxygen atoms have a higher electronegativity than other atoms in the molecule, they attract electrons, making ethanol polar. Ammonia (NH3) is polar.SO2 (sulfur dioxide) is polar.H2S (hydrogen sulfide) is polar.

Water (H2O), like hydrogen fluoride (HF), is a polar covalent molecule. When you look at a diagram of water you can see that the two hydrogen atoms are not evenly distributed around the oxygen atom.

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CA-Common Core English Language Arts 9 A

Answers

Answer:

The standards establish guidelines for English language arts (ELA) as well as for literacy in history/social studies, science, and technical subjects.

Explanation:

Answer:

A

Explanation:

How many fundamental charges make up the value of the enclosed charge? (answer in billions)

Answers

[tex]{\color{Blue} N=3.47\ billions}[/tex]

The electric flux through green spherical surface is[tex]\rightarrow \Phi=62.8\ N\ m^{2}\ C^{-1}[/tex]

Permittivity of free space is [tex]\rightarrow \epsilon_{0}=8.85\times10^{-12}\ F\ m^{-1}[/tex]

Fundamental unit charge value is [tex]\rightarrow q=1.602\times10^{-19}\ C[/tex]

According to Gauss's law, electric flux is directly proportional to the enclosed charge [tex]Q_{enc}[/tex] inside spherical surface, which is given as:

[tex]\therefore \Phi=\frac{Q_{enc}}{\epsilon_{0}}[/tex]

[tex]\therefore Q_{enc}=\Phi \epsilon_{0}[/tex]

[tex]\therefore Q_{enc}=62.8 \times8.85\times10^{-12}[/tex]

[tex]\therefore Q_{enc}=555.75\times10^{-12}\ C[/tex]

therefore, total enclosed charge inside spherical surface is [tex]Q_{enc}=555.75\times10^{-12}\ C.[/tex]

Since charge is quantized, number of fundamental charges N is given as:

[tex]Nq=Q_{enc}[/tex]

[tex]\therefore N=\frac{Q_{enc}}{q}[/tex]

[tex]\therefore N=\frac{555.76\times10^{-12}}{1.602\times10^{-19}}[/tex]

[tex]{\color{Blue} \therefore N=3.47\times10^{9}}[/tex]

[tex]{\color{Blue} \therefore N=3.47\ billions}[/tex]

Therefore, [tex]{\color{Blue} N=3.47\ billions}[/tex] fundamental charges make up the value of the enclosed charge.

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A human-operated spaceship reaches the moon in 3 days. the moon is about 386,400 km from earth. mars, our closest planetary neighbor, is, at its closest, about 140 times farther away from us than the moon if mars stays in place. assuming a very simple model of the solar system, about how long would it take that same spaceship to reach mars?

Answers

That identical spaceship takes around a year to get to mars.

The Earth's axial wobble is stabilized by the Moon, the biggest and brightest object in our night sky, leading to a typically stable climate. As a result, Earth is a more hospitable planet. Moreover, it produces tides, which result in a rhythm that has guided mankind for a very long time. The following calculation must be performed to determine how long it will take the same spacecraft to reach Mars given that Mars is 140 times further away from Earth than the Moon and that a spacecraft can traverse the 386,400 kilometers between the Earth and the Moon in 3 days:

140 x 3 = 420 days

This spaceship will travel from Earth to Mars in just about one year and two months, assuming a year has 365 days.

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receptacles have several screw terminals for the attachment of circuit conductors. match the following screws with their intended conductor.

Answers

A. Equipment grounding conductor B. Hot (phase) conductor C. Grounded (white) conductor

Matching is done as:

Silver-colored screw is matched with C) Grounded (white) conductor

Brass-colored screw is matched with B) Hot (phase) conductor

Green hexagonal screw is matched with A) Equipment grounding conductor.

Electrical conductor

A substance or material that permits the flow of electricity is known as an electrical conductor.

What are the three different types of conductors?

When a voltage is applied, electrical charge carriers, typically electrons or ions, move easily from atom to atom.

Are conductors a component of a circuit?

There are four different types of conductors: good conductors, semiconductors, resistors, and non-conductors.

Metals are effective electrical conductors. One or more loosely bonded valence electrons, or even just one, can be found in metals. These electrons can freely flow around an electric circuit, creating a domino-like effect.

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An electron was accelerated from rest through a potential difference of 2500 v. what is its speed?

Answers

The velocity of electron accelerated from rest through a potential difference of 2500 V will be 2.9654848 × 10⁷ m/s.

We have an electron accelerated from rest through a potential difference of 2500 V.

We have to determine its speed.

What is the Kinetic energy of the electron when accelerated through a potential difference of V volts ?

The Kinetic energy of electron when accelerated through a potential difference of V volts is -

E = eV

According to the question -

Applied Potential Difference = V = 2500 volts

The Kinetic Energy of electron = K[E] = 1.6 x 10¹⁹ x 2500.

Therefore -

1/2 mv² = eV

[tex]$v =\sqrt{\frac{2|e|V}{m_{e} }}\\[/tex]

[tex]$v =\sqrt{\frac{2\times 1.6\times 10^{-19}\times 2500}{9.1\times 10^{-31} }}\\[/tex]

v = 29654848 = 2.9654848 × 10⁷ m/s

Hence, the velocity of electron accelerated from rest through a potential difference of 2500 V will be 2.9654848 × 10⁷ m/s.

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You shoot a beam of 4. 5 ev light at a metal surface and notice that electrons are being released from the metal. What will happen if you then increase the intensity of the 4. 5 ev light?.

Answers

When we increase the intensity of incident light, the number of electrons ejected from the metal surface has increased energy. Thus, correct option is D.

What is Emission Energy?

Electrons are emitted from the metal surface when it is exposed to light. This is called the photoelectric effect. Each metal has a certain threshold frequency of light at which an electron is emitted. Above this frequency, the electron is emitted and the extra energy is transferred to the electron.

On increasing the intensity of incident light, the kinetic energy of electrons increases several folds. This is because, energy of an electron is directly proportional to the intensity of incident light. Thus, D is the correct option.

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Your question is incomplete, probably the complete question/missing part is:

You shoot a beam of 4. 5 ev light at a metal surface and notice that electrons are being released from the metal. What will happen if you then increase the intensity of the 4. 5 ev light?

A. The metal will bend and warp.

B. Nothing, the energy of the light is the same.

C. More electrons would be released.

D. Photons would come off at higher speeds.

Find the resultant of the following forces: (a) 425 newtons at 55 degrees; (b) 5 newtons at 161 degrees; (c) 35 newtons at 320 degrees.

Answers

consider F1 = 425 N      θ1 = 55

              F2 = 5 N          θ2 = 161

            F3 = 35 N          θ3 = 320

Now, take x and y component of force

Fx = F1cos55 + F2cos161 + F3 cos320

fx= 425 * 55  + 5 * (-0.94) + 35 * 0.76

fx =242.2- 4.7+ 26.6

fx =264.1

now fy

Fy = F1sine55 + F2sine161 + F3 sine320

fy= 425 * 0.81 + 5 * 0.32 + 35 * (-0.64)

fy = 344.2+1.6-22.4

fy = 323.4

now resultant force

Fr^2= fx^2+fy^2

     = (264.1)^2 + (323.4)^2

Fr= 417

now, consider F1 = 425 N      θ1 = 55

              F2 = 5 N          θ2 = 161

            F3 = 35 N          θ3 = 320

Now, take x and y component of force

Fx = F1cos55 + F2cos161 + F3 cos320

fx= 425 * 55  + 5 * (-0.94) + 35 * 0.76

fx =242.2- 4.7+ 26.6

fx =264.1

now fy

Fy = F1sine55 + F2sine161 + F3 sine320

fy= 425 * 0.81 + 5 * 0.32 + 35 * (-0.64)

fy = 344.2+1.6-22.4

fy = 323.4

now resultant force

Fr^2= fx^2+fy^2

     = (264.1)^2 + (323.4)^2

Fr= 417

now, resultant angle

tan θ =fy/fx

  = 323.4/264.1

tan θ = 1.2

θ =0.020

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Under each diagram right the net force and the direction in which the boxes will move

Answers

Green box is subject to balanced force, while red, blue, and green boxes are under unbalanced force.

When there is a balanced force, forces acting in the opposite direction are applied to the body. Zero net force is produced when equal forces are applied in each direction. The body continues to be in an equilibrium state. The body doesn't accelerate at all.

If it was initially at rest, it stays there, and if it was in motion, it keeps moving constantly while under an unbalanced force. The net force is not zero when just one direction is affected by the force of direction. Alternatively, the direction of motion is determined by the net resultant force when the forces acting on each side are not equal.

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Two cars, A and B start out 300 meters apart. Car A travels due east toward car B at 30 meters per second. Car B travels due west toward car B at 20 meters per second. How long does it take before the two cars meet?

Answers

By using one as a frame of reference, we will see that 6 seconds elapse before the two cars meet.

The correct option is B.

What are the various types of frames of reference?

A frame of reference is a clearly defined coordinate system that is used to represent a body's motion or state of rest. Reference frames can be divided into two categories: inertial or non-accelerating frames and non-inertial or accelerating frames.

Briefing:

This moves at 30 m/s, then we will see that car A does not move, while car B moves with a speed of:

S = 20m/s + 30m/s = 50m/s

The two cars are moving in opposing directions, therefore the velocities are summed (So car A sees that car B comes faster than it actually does).

We just need to determine how long it will take automobile B to drive 300 metres at 50 m/s now that we are in this frame of reference.

Distance/speed = time

distance = 300m

speed = 50m/s.

(300m)/( 50 m/s) = 6s

This means that 6 seconds elapse before the two cars meet.

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The complete question is -

Two cars, A and B start out 300 meters apart. Car A travels due east toward car B at 30 meters per second. Car B travels due west toward car B at 20 meters per second. How long does it take before the two cars meet?

A- 15s

B- 6s

C- 10s

D- 5s

How much work have you done when you lift a 90-N child 0.5 m

Answers

Answer: not alot

Explanation:

If a rolling ball had 18 joules of KE and is rolling 3 m/s, what is the mass?

Answers

Answer:

4Kg

Explanation:

1/2mv²=K.E

1/2m×3²=18J

1/2m×9=18

9m=18×2

9m=36

m=36/9

m=4Kg

Answer:

F=MA FORSE= MASS X ACCELERATION

Explanation:

So the answer should be 54 as 18 X 3 = 54

( I read the question wrong)

what is the number of waves here?​

Answers

Answer: i counted 10 waves on your graph

Explanation: hope this helps!!!

Answer:

The Number of waves is 9 based on the trough and crest.

a rock takes 2.65 s to hit the ground when it is thrown straight up from the cliff with an initial velocity of 8.2 m/s.

Answers

The rock takes 2.65 s to hit ground when it is thrown up from the cliff with initial velocity of 8.2 m/s. The cliff is of 8.26 meters height.

What is a cliff?

A cliff is a section of rock with an overall angle defined by the vertical or nearly vertical in geography and geology. Cliffs are created by the gravitational effects of weathering, erosion, and other activities. Cliffs are typical around rivers, in mountainous regions, escarpments, and on coastlines. Typically, cliffs are made of weather- and erosion-resistant rock. Sandstone, limestone, chalk, and dolomite are the sedimentary materials most likely to result in cliff formation. Cliffs are frequently formed by igneous rocks like granite and basalt. A geologic fault's movement, a landslide, or occasionally rock slides or falling rocks that alter the differential erosion of the rock can result in an escarpment (or scarp), a type of cliff.

The known values are: t=2.65st=2.65s;

y=0m,v0=+8.00m/sv

0​=+8.00m/s; and a=-9.8m/s^2

a=-9.8m/s^2[tex]\sqrt{x} \sqrt{x} \sqrt{x} \sqrt{x}[/tex]

Based on the given values, the formula that we shall use is

y=y0+v0t+1/2at^2

Substituting the values, we have

y=y0+v0t+1/2at^2

=8.26m  

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How do we know when v final is negative or 0 in projectile motion?

Answers

Answer:

The Vertical initial velocity for a projectile can be zero for an infinite number of cases. The only requirement stands that the initial velocity (velocity at the time we start observing) should be zero, independent of acceleration along that axis or any other perpendicular axis.

A cyclotron with a magnetic field of 0.36 t is designed to accelerate protons in a circle with a radius 0.56 m. what is the angular frequency of the proton? answer in units of rad/s.

Answers

The angular frequency of the proton which is cyclotron with a magnetic field of 0.36t is 4.31 x 10⁷ rad/s .

What is magnetic field ?

The electromagnetic force, one of the four fundamental forces of nature, is the origin of the magnetic force, which is produced by the movement of charges. Any two charge-containing objects travelling in the same direction are attracted to one another magnetically.

The electromagnetic force, one of the four basic forces of nature, produces the magnetic force, which is caused by the movement of charges. A magnetic attraction draws two charge-containing objects together when they are moving in the same direction.

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If a balloon is filled with 1.205 quarts of radon gas how many atoms will be in the balloon?

Answers

By Avogadro's number, the radon atoms is 3.02 x 10²² atoms.

We need to know about Avogadro's number to solve this problem. Avogadro's number is the number that explains how many carbon atoms are in one mol. The Avogadro's number is

Na =  6,02 × 10²³ atoms / mol

From the question above, we know that

V = 1.205 qt = 1.205 x 0.95 lt= 1.14475 lt

ρ = 9.73 g/lt

Ar = 222

Calculate the mass of radon

m = ρ . V

m = 9.73 . 1.14475

m = 11.14 gram

Calculate the moles

n = m / Ar

n = 11.14 / 222

n = 0.05 mol

Calculate the number of atoms

N = n . Na

N = 0.05 . 6,02 × 10²³

N = 3.02 x 10²² atoms

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2. A car acquires a velocity of 32 m/s by accelerating at 4.0 m/s²
for 5.0 s. What was its initial velocity?

Answers

Answer:

v = a t = 4 m/s^2 * 5 s = 20 m/s

It can increase its speed by 20 m/s

Using V = V0 + a t

V0 (initial speed) had to be 12 m/s

The writer is considering adding the following sentence after sentence 9. Indeed, kane persuasively argues that diplomacy works best "if we bring it down to our individual communities and the people in the communities. " should the writer add this sentence after sentence 9 ?.

Answers

Yes, because it incorporates a second clarifying quotation from the expert, adding more weight to the argument presented in phrase 9.

Within a group of diplomats, negotiations and bargaining essentially consist of trying to get more than you are likely to get by negotiating, and eventually reaching a compromise. On occasion, foreign officials will join ongoing negotiations for assistance. Because it advances the interests under its purview and strengthens nations, states, and organizations, diplomacy is significant. The primary tool of foreign policy, which stands for the more general objectives and plans that direct a state's relations with the rest of the world, is diplomacy. Diplomatic negotiations and processes typically lead to international treaties, accords, alliances, and other manifestations of foreign policy. Diplomats may also provide government with advice to assist form a state's foreign policy.

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a honeybee leaves the hive and travels a total distance of 2 km before returning to the hive. what is the magnitude of the displacement vector of the bee? why?

Answers

The magnitude of the displacement vector of the bee will be 2 km. Because the distance between the endpoints is 2km.

What is displacement?

A displacement is a vector in engineering and mechanics that has a length equal to the smallest distance between a point P's initial and final positions. It is a vector quantity. The SI unit of the displacement is the meter.

A honeybee leaves the hive and travels a total distance of 2 km before returning to the hive.

The bee's displacement vector will be 2 kilometers in length. Mostly due to the 2 kilometers between the terminals.

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how far would it be from the milky way galaxy to the most distant galaxies in the observable universe on this scale?

Answers

The two marbles are separated by around 133 m or 30 vehicle lengths.

It is possible to determine the distance between our marble and the most distant galaxies in the universe by first comparing the size of the Milky Way Galaxy to that of a marble.The Milky Way Galaxy is just around 2,000 LY (Light Years) thick and roughly 100,000 LY (Light Years) wide.

Let's continue using the conversion of:

1 cm = 100,000 LY

The Andromeda and Triangulum galaxies are two of the noteworthy members of the Local Group, a collection of galaxies nearby to our own. On this scale, we can assume that distance from Earth and distance from the edge of the Andromeda Galaxy are approximately 2.5 MLY (2.5 Million Light Years) apart.The galaxy spans about 220,000 LY. So let's determine where to place this marble:

2,500,000/100,000 = 25 cm

We may lay a marble to symbolise the Andromeda Galaxy that is nearly twice the size of our Milky Way Galaxy marble at 25 cm.

We can see farther as our observational equipment advances. A galaxy 13.3 BLY distant is the furthest object Hubble can currently observe .

So let's try placing the marble here:

13,300,000,000/100,000 = 13,300cm = 133m

To put this into context, the two marbles are separated by around 30 vehicle lengths.

See the reference pic below:

The complete question is: In a scale model of the Local Group of Galaxies, in which the Milky Way Galaxy was the size of a marble (about 1 cm in diameter), how far would it be from the Milky Way Galaxy to the most distant galaxies in the observable universe on this scale?

what is the wavelength of an earthquake that shakes you with a frequency of 11.1 hz and gets to another city 93.0 km away in 14.0 s?

Answers

The correct answer is 598.4m

Two key elements in describing a wave's nature are its wavelength and frequency. Wavelength is essentially a measurement of the separation between two adjacent wave crests or troughs. It is always calculated in the direction of the wave, and the sign for it is. Given that it is a measurement of distance, it is stated in terms of metres.

Frequency: The number of times a particle vibrates during a sound wave's passage through a medium is referred to as frequency. The total amount of vibrations that occur within a certain period of time is the frequency.

Wavelength: The distance between two successive curve crests or troughs is known as a wavelength. The distance between the crests and troughs of a high-frequency wave is smaller than that of a low-frequency wave, and vice versa.

s=93km=93000m

f=11.1hz

t=24.43 sec

λ=v/f

λ=s/ft

λ=93000/(11.1)(14)

λ=93000/155.4

λ=598.4m

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How much metabolic energy must a bird of mass 200 g expend to fly to a height of 20 m? neglect all losses due to friction, physiological imperfection, and the acquisition of kinetic energy.

Answers

The amount of metabolic energy expended by the bird is 39.2 J.

What do you mean by energy?

Energy is the ability to perform work in physics. It might exist in several different forms, such as potential, kinetic, thermal, electrical, chemical, radioactive, etc. Additionally, there is heat and work, which is energy being transferred from one body to another. Energy is always assigned based on its type once it has been transmitted. Thus, heat transmitted may appear as thermal energy while labor performed may result in mechanical energy. Motion is a property of all energy types. For instance, if a body is moving, it possesses kinetic energy. Even while at rest, a tensioned object like a spring or bow has the ability to move; this is due of its design, which includes potential energy.

E = mgh = (0.20)*(9.8)*(20) = 39.2 J

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Cooper communicates with brand using radio waves of wavelength 300 m. what is the frequency of this wave?

Answers

The frequency of electromagnetic waves is 10⁶ Hz or 1 MHz.

We need to know about electromagnetic waves to solve this problem. Electromagnetic waves can propagate without media. The speed of electromagnetic in vacuum media is equal to the speed of light. Hence, the wavelength and frequency can be determined as

c = λ . f

where c is the speed of light (3 x 10⁸ m/s), λ is wavelength and f is frequency.

From the question above, we know that

λ = 300 m

By substituting the given parameter, we can calculate the frequency of radiowaves

c = λ . f

f = c / λ

f = 3 x 10⁸ / 300

f = 10⁶ Hz

f = 1 MHz

Hence, the frequency of radiowaves is 10⁶ Hz or 1 MHz.

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determine the design angle ϕ ( 0 ° ≤ ϕ ≤ 90 ° ) ϕ(0°≤ϕ≤90°) between members ab and ac so that the 400-lb horizontal force has a component of 600 lb which acts up to the right, in the direction from b toward a. also calculate the magnitude of the force component along ac. take

Answers

The magnitude of the force along ac is 322.97 lb and the design angle of the system is ϕ = 38.26°

The Given problem can be solved on the Parallelogram law of vector addition and law of sines,

from the figure, we can write

F = √(400² + 600² - 2(400 × 600)cos 30)

F = 322.97 lb

In order to get the design angle, we will solve by:

(sinϕ)/(sin 30) = 400/322.97, where ϕ is the design angle.

therefore

sinϕ = (400/322.97) × sin 30

sinϕ = 1.2385 × 0.5

sinϕ = 0.61925

ϕ = sin^(-1) 0.61925

ϕ = 38.26°

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