if you shout into the grand canyon, your voice travels at the speed of sound (340 m/s) to the bottom of the canyon and back, and you hear an echo. how deep is the grand canyon at a spot where you can hear your echo 5.2 seconds after you shout? [hint: think about the path the sound has to travel for you to hear your own echo.]

Complete Question is

A sound wave with intensity

2.0×10−3Wm2

is perceived to be modestly loud. Your eardrum is 5.9 mm in diameter. How much energy will be transferred to your eardrum while listening to this sound for 1 minute? Express answer in Joules.

The energy transferred to the human ear per minute will be : 2.909×10⁻³J.

W=Pt

  =I*A*t

  =1.9×10⁽⁻³⁾×π×(5.7×10⁽⁻³⁾)²/4×60

  =2.909×10⁻³J

the amount of power that is transported beyond a given place of the medium in keeping with unit of time is referred to as the intensity of the sound wave. The extra the amplitude of vibrations of the particles of the medium, the extra the charge at which electricity is transported through it, and the extra severe that the sound wave is.

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Any substance that possesses mass and volume is considered to be matter. In general, atoms and anything composed of them are considered to be "matter."

Energy is the power to effect change or carry out work.

The connection between energy and matter is determined by the speed of light, per the theory of relativity. E = M x C^2, where E is energy, M is mass, and C is the speed of light, describes how matter and energy are related.

Matter and Energy - How are they inter-related?

The variation in a body's mass is inversely proportional to the square of the speed of light and directly correlated with the amount of energy released during the conversion process. An energy conversion process can be carried out by a system using this kind of transformations, in which some of the body's intrinsic energy is converted into thermal energy or radiant light. Also implied by this process is a loss of mass. At the atomic level, the shift of mass is significant because it demonstrates that matter is not an immutable property of the body and that it may, in fact, "disappear," releasing energy to the outside.

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The average force on the bumper is 1821.455 Newtons.

                     [tex]\begin{aligned}\\\text{kinetic energy} &= \small \frac{1}{2}mv^2\\\\&=\small \frac{1050\,kg\times (0.833\,m/s)^2}{2}\\\\&=\small 364.291\,kg\,m^2/s^2\end{aligned}[/tex]

                     [tex]\begin{aligned}\\\text{work on the car} &= \small Fs\\\\&=\small F\times 0.200\,m\\\\&=\small 0.200F\, m\end{aligned}[/tex]

                               [tex]\begin{aligned}\\\small 0.200F \,m &=\small 364.291\,kg\,m^2/s^2\\\\\small F &=\small 1821.455\, N\end{aligned}[/tex]

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Level of measurement of the data is the average (mean) of the is: Ordinal scales.

A categorization that specifies the type of information included in the values assigned to variables is called level of measurement or scale of measure. The most well-known categorization was created by psychologist Stanley Smith Stevens and included four levels or scales of measurement: nominal, ordinal, interval, and ratio.

You may find out how accurately variables are recorded using levels of measurement, also known as scales of measurement. A variable in scientific study is something that can have various values across your data collection (e.g., height or test scores).

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The plant efficiency will be 75%.

We have a engineer in a Electric - Generation Station.

We have to determine the maximum efficiency plant will ever achieve.

The maximum efficiency the plant will achieve is defined as -

η(max) = 1 -  [tex]$\frac{T_{min} }{T_{max} }[/tex]

Now -

T(minimum) = Temperature of Cooling water = 300 K

T(maximum) = Temperature of boiler = 1200 K

Therefore -

The maximum efficiency will be -

η(max) = 1 - [tex]\frac{300}{1200}[/tex]

η(max) = 1 - [tex]\frac{1}{4}[/tex]

η(max) = 3/4

Percentage efficiency = [tex]\frac{3}{4} \times 100\\[/tex] = 3 x 25 = 75%

Hence, the plant efficiency will be 75%.

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[ The given question is incomplete. The complete question is given below -

You are an engineer in an electric-generation station. You know that the flames in the boiler reach a temperature of 1200 K and that cooling water at 300 K is available from a nearby river. What is the maximum efficiency your plant will ever achieve? ]

Answer:

the weight is different on the moon

Explanation:

With the help of the concept of First Law of Thermodynamics , the work done by the gas is 34650 joules, the change in internal energy of the gas is 80440 joules and it will not matter whether or not gas is ideal.

The First law of thermodynamics states that energy can neither be created nor be destroyed, but it can be transferred from one form to another. The First law of thermodynamics states that heat is a form of energy and all the processes follow the principle of conservation of energy. According to first law the internal energy of a system is equal to the difference of the net heat supplied to the system and the net work done by the system,

ΔU=ΔQ-ΔW ,where,

ΔU is the change in internal energy of the system

ΔQ is the heat supplied to the system

ΔW is the net work done by the system

In the question we have been given a gas which expands from initial volume Vi = 0.110 [tex]m^3[/tex]

to final volume of Vf = 0.320 [tex]m^3[/tex],

the total heat supplied in the process is, ΔQ = 1.15×10^5 J.

All the process takes place at a constant pressure P = 1.65×10^5 Pa.(isobaric process)

1) The net work done by the gas for an isobaric process is given by,

ΔW = P(Vf - Vi)

ΔW = (1.65×10^5)(0.320 - 0.110)

ΔW = 34650 J

2)The change in internal energy of the gas is given by,

ΔU = ΔQ - ΔW

ΔU = 1.15×10^5 - 34650

ΔU = 80440 J

3) According to the first law, for an isobaric process the work done by an ideal gas or a real gas is equal under same conditions, hence, it does not matter whether the gas is ideal or real. The first law is applicable for all kind of gases

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Answer:

Explanation:  v = v₀ + gt = 0 + 9.80665 * 8 = 78.45 m/s

The definition that best describes the given statement is given below:

Dual rail electricity supply includes independent tracks, P C B traces that are used to offset the voltage sags between different circuits, avoiding overloading of any circuit.

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

Practically all inverters use semiconductors to deliver a controlled power output. If the source does have an ac input, then an input voltage is rectified.

Therefore, it's the right answer.

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Raw sewage contains microorganisms that can harm ecological systems as well as make people and animals ill. In addition to bacteria and viruses, raw sewage frequently include germs that are harmful to human health. Additionally, there are additional substances in raw sewage that are just poisonous to fish, shellfish, mammals, and other aquatic life. Consequently, sewage pollution that enters a body of water sets off a negative cascade.

The definition of diversity is the quality of including or consisting of several constituents .The development of workplace diversity models since the 1960s has given rise to a strong commercial rationale for diversity. The initial paradigm for diversity in the United States was based on affirmative action and the equal opportunity employment goals put in place by the Civil Rights Act of 1964. The principle of equal employment opportunity was predicated on the notion that anybody who was intellectually or physically prepared for a particular profession might work toward (and perhaps achieve) getting the stated position without experiencing identity-based discrimination. This compliance-based strategy gave birth to the notion that the only reason a person who was different from the majority group was employed into a corporation was for show.

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By using uniform motion, the distance traveled by the swan is 51.43 meters.

We need to know about the uniform motion to solve this problem. The uniform motion is an object's motion under acceleration. It should follow the rule

vt = vo + a . t

vt² = vo² + 2a . s

s = vo . t + 1/2 . a . t²

where vt is final velocity, vo is initial velocity, a is acceleration, t is time and s is displacement.

From the question above, we know that

vo = 0 m/s

vt = 6 m/s

a = 0.35 m/s²

By using second equation, we can find the distance traveled by swan

vt² = vo² + 2a . s

6² = 0² + 2 . 0.35 . s

36 = 0.7 s

s = 36 / 0.7

s = 51.43 m

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Time taken by the woman if she walks in the same direction the sidewalk is moving is 13 seconds and for the opposite direction, it is 90 seconds.

The ratio of the object's travel distance over a specific period of time is known as its velocity. The magnitude and direction are both necessary for the velocity because it is a vector quantity.

Vw=Velocity of sidewalk = 1.2 m/s

Vs=Velocity of woman = 1.6 m/s

Distance to travel = 36 m

Time = Distance / Speed

If the woman goes in the same direction as the sidewalk, it will take her 13 seconds.

S = ( Vw + Vs ) = t

t = [ 36 / ( 1.6 + 1.2 ) ]

t = 12.857 or 13 seconds

If the woman goes against the flow of the sidewalk, it will take her 90 seconds.

S = ( Vw + Vs ) = t

t = [ 36 / ( 1.6 - 1.2 ) ]

t = 90 seconds

Hence, the time for the same direction is 13 seconds, and for the opposite direction 90 seconds.

The complete question is given below:-

A "moving sidewalk" in an airport terminal building moves at a speed of 1.2 m/s and is of the length of 36.0 m. A woman steps on at one end and walks at a speed of 1.6 m/s relatives to the moving sidewalk. A. How much time does she require to walk from one end to the other if she walks in the same direction the sidewalk is moving?

B. How much time does she require to walk from one end to the other if she walks opposite the direction the sidewalk is moving? Express your answer using two significant figures.

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Ionic equation is

  [tex]Na^{+} _{3}[/tex](aq) + 2[tex]PO^{3+} _{4}[/tex](aq) + 3[tex]Mg^{+2}[/tex](aq) + 3[tex]Cl^{-} _{2}[/tex] -----> Mg([tex](PO_{4} )_{2}[/tex](s) + 3[tex]Na^{+}[/tex](aq) + 3[tex]Cl^{- }_{2}[/tex](aq)

Here the reaction of aqueous magnesium chloride is mixed with aqueous sodium phosphate.

i.e., Mg[tex](Cl)_{2}[/tex] react with [tex]Na_{3}PO_{4}[/tex]

Here the reaction is the replacement reaction, so when both magnesium chloride reacts with sodium phosphate it forms magnesium phosphate and sodium chloride.

Mg[tex]Cl_{2}[/tex] (aq) + [tex]Na_{3} PO_{4}[/tex] (aq) -------> [tex]Mg_{3} (PO)_{4}[/tex] (s) + Na[tex]Cl_{2}[/tex] (aq)

And the ionic equation is:

[tex]Na^{+} _{3}[/tex] (aq) + 2[tex]PO^{3-} _{4}[/tex] (aq) + 3[tex]Mg^{2+}[/tex](aq) + 3 [tex]Cl^{-}_{2}[/tex](aq)-------> [tex]Mg_{3}(PO_{4} )_{2}[/tex](s) + 3[tex]Na^{+}[/tex](aq) + 3 [tex]Cl_{2}^{-}[/tex](aq)

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The value of frictional force is 45.6 N

The amount of resistance a steel box experiences when traveling over a steel surface

μ = 0.80

the frictional force is a result

f = μ N

= 0.80[tex]\times[/tex] 57

= 45.6 N

The force that prevents motion when the surfaces of two objects come into contact is known as friction. Friction lessens a machine's mechanical advantage, or, to put it another way, friction decreases the output-to-input ratio.

A car spends one-fourth of its energy-reducing friction. However, friction in the clutch and the tires also contribute to the vehicle's ability to maintain its position on the road.

One of the most important phenomena in the physical universe is friction, which affects everything from machinery to molecular structures to matches.

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The velocity of trash can of mass 6.90 kg should be almost equal to 500 times the velocity of truck in order to have same momentum.

We have a trash can of mass 6.90 kg and a truck.

We have to determine at what speed a 6.90 kg trash can have the same momentum as the truck.

The momentum of a body is the product of its mass and velocity. Mathematically -

p = mv

According to the question -

Assume that the mass of the truck is comparable to a real truck and is equal to 3500 Kg.

Mass of can = 6.9 Kg

Assume that the truck is moving with velocity u m/s and the can is moving with velocity v m/s.

Then -

Momentum of Truck = p(T) = 3500 x u  Kg m/s

Momentum of Can = p(C) = 6.9 x v Kg m/s = 7 x v Kg m/s {Rounded)

Since, the momentum of the truck and the trash can are same, therefore-

p(T) = p(C)

3500 x u = 7 x v Kg m/s

u / v = 7 / 3500 = 1 / 500

v = 500 u

Hence, the velocity of can should be almost equal to 500 times the velocity of truck  in order to have same momentum.

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The energy of a photon of light is directly proportional to its frequency, a ahigh-energy photon has a  higher frequency and a short wavelength.

The length that a periodic wave repeats over in space is referred to as its wavelength in physics.

It is a characteristic of both traveling waves and standing waves as well as other spatial wave patterns. It is the separation between two successively related wave points of the same phase, such as two close-by crests, troughs, or zero crossings. The inverse of the wavelength is known as the spatial frequency. It's commonly represented by the Greek letter, or "wavelength." Also usually referred to as having a wavelength are the sinusoidal wave envelopes, modulated waves, and waves produced by the interference of several sinusoids.

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Kinematics is referred to as the measurement of kinetic energy.

This is referred to as a branch of mechanics which is involved in how objects move in an area and is usually done with the use of different methods such as the use of words, diagrams etc. This is used in the study of the motion without any reference to the force which acts on the body.

On the other hand, kinetic energy is referred to as the energy which is possessed by virtue of its motion while potential energy is the energy possessed by a body by virtue of its position.

The unit of Kinetic energy is Joules and kinematics uses different parameters in the determination of its value such as velocity, acceleration which indicates motion to various extent which is therefore the reason why kinematics was chosen as the most appropriate choice.

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The electrostatic force between the charges is 11.25 x [tex]10^{-11} \;\mu N[/tex].

We have two charges separated by some distance apart.

We have to calculate the magnitude of the force exerted on the charges due to the electromagnetic interaction in μN (10-6 Newtons).

The force between two point charges is -

F = [tex]$\frac{1}{4\pi \epsilon_{o} } \frac{qQ}{r^{2} }[/tex]

According to the question -

Q =5 nC = 5 x [tex]10^{-9}[/tex] C

q = 1 nC =  [tex]10^{-9}[/tex] C

r = 2 cm = 0.02 m

The force of repulsion between the charges is -

[tex]$\frac{1}{4\pi \epsilon_{o} } \frac{qQ}{r^{2} }[/tex]

[tex]$F =9\times 10^{9} \times \frac{5\times 10^{-9}\times 10^{-9} }{(0.02)^{2} }[/tex]

F = 11.25 x [tex]10^{-5}[/tex] Newtons.

Now , in micro - newtons →

F = 11.25 x [tex]10^{-5} \times 10^{-6}[/tex] = 11.25 x [tex]10^{-11} \;\mu N[/tex].

Hence, the electrostatic force between the charges is 11.25 x [tex]10^{-11} \;\mu N[/tex].

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[ The given question is not complete. The complete question is -

" Two point-like particles separated by 2 cm have charges q1=5 nC and q2=1 nC. Note that the force felt by each charge due to the other is a vector and has both a magnitude and a direction. What is the magnitude of the force exerted on the charges due to the electromagnetic interaction, in μN (10-6 Newtons)? " ]

Answer:I think the answer is a.

Explanation:

Because the magnetic field created by moving a current through a wire is both parallel and perpendicular to the wire, the field strength can be improved by coiling the wire, therefore the correct answer is option A.

A magnetic field could be understood as an area around a magnet, magnetic material, or an electric charge in which magnetic force is exerted.

because coiling the wire can increase the magnetic field's intensity because the magnetic field produced by running a current through a wire is both parallel to and perpendicular to the wire.

Thus, the correct answers are parallel and coiling respectively, therefore the correct answer is option A.

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Approximately, the student traveled 80.4672 m while looking at his cell phone.

While distance and displacement appear to signify the same thing, they actually have very different definitions and meanings. A scalar quantity known as distance measures "how much ground an object has traversed" while moving. An object's total change in position is referred to as displacement, a vector variable that measures "how far out of place an object is." Therefore it can be understood that distance measures the length between two objects without describing its direction. Hence distance is a scalar quantity(having no direction, it only has magnitude)

45 mph = 0.0201168 kmps

So distance covered in 1 sec is 0.0201168 km

So distance covered in 4s is 4 * 0.0201168 = 0.0804672km = 80.4672m

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Teflon was discovered upon being sawn open.

Numerous applications can be found for polytetrafluoroethylene (PTFE), a synthetic fluoropolymer of tetrafluoroethylene. It is one of the most popular and often used PFAS. The most popular brand name for PTFE-based materials is Teflon [tex](C_{2} F_{4} )[/tex].

Teflon, a high-molecular-weight polymer made entirely of fluorine and carbon, is a fluorocarbon solid. Because PTFE is hydrophobic, neither water nor anything containing water can penetrate it.

For pans and other cookware, teflon is utilised as a non-stick coating. It is frequently used in containers and piping for reactive and corrosive chemicals since it is non-reactive, in part due to the strength of the carbon-fluorine bonds.

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The magnitude of the force on the 2 micro coulomb charge is 16.22mN.

Force on 2 micro coulombs by 1 micro coulomb is given as

F₁ = k · 1 × 2 × 10⁻¹²/r²

Or, F₁ = 9 × 10⁹ × 2 × 10⁻¹² /2²

Or, F₁ = 4.5 mN

Force on 2 micro coulombs by 3 micro coulomb is given as

F₂ = k · 3 × 2 × 10⁻¹²/r²

Or, F₂ = 9 × 10⁹ × 6 × 10⁻¹² /2²

Or, F₂ = 13.5 mN

As charges are placed on equilateral triangles, it means both forces will be 60 degrees separated from each other.

So, the resultant magnitude is given by

F = √F₁² + F₂² + 2F₁F₂cos60°

or F = 16.22 mN

Therefore, the magnitude of the force on the 2 micro coulomb charge is 16.22 mN.

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The plane's displacement for the total trip is, -63.2°.

Velocity, v = x/t

Vx = 459 km/2.483 hr = 184.8 km/h

Vy = -909 km/2.483 hr = - 366 km/hr

Magnitude, v =sqrt(Vx^2 + Vy^2) = 410 km/hr

Direction, theta = arctan (-366/184.8) = - 63.2°

Double symmetrical illumination of the object, successively for each illumination direction, is used to measure in-plane displacement as the loading is gradually increased. The impact response of structures is significantly impacted by the in-plane displacements at the supports.

This is so that axial membrane forces along the beam's center line can be introduced by the development of geometrical modifications. Given that the double-hull specimen should have been strengthened by sturdy brackets at the boundaries of the outer and inner plates, this anomaly is likely the result of insufficient experimental restrictions (top and bottom plates).

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The calculated time is 6 seconds.

Time is defined by physicists as the flow of events from the past through the present and into the future. In essence, a system is timeless if it is unchanging. When describing events that take place in three-dimensional space, time can be thought of as the fourth dimension of reality. Even if time isn't directly connected to energy, it is undoubtedly connected to many other components of energy. For instance, the movement of energy across the universe can affect the direction of time (from the past to the future).

V= 2 m/s

d=12 m

t=?

we know that velocity=displacement / time

time= displacement / velocity

= 12/2

=6 seconds

the calculated time is 6 seconds.

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An isosceles triangle with two sides of 100 cm and one of 20 cm is formed by the threads and the balls.

The electric charge particles that make up the electrostatic force behave as both an attracting and a repulsive force. It is additionally called Columb's force. Charles-Augustin de Coulomb, a French scientist, would be honored by having the Columb attraction bear his name. However, electrostatic force is one of the four fundamental forces of nature. The forces add up to zero.

F=kq2/d2 is horizontally oriented.

Straight down, the gravitational force is mg, and the thread's tension is T.

The horizontal tension balances the electrostatic field, whereas the vertical tension balances gravity.

An isosceles triangle with two sides of 100 cm and one of 20 cm is formed by the threads and the balls.

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Answer:

1. Net force = 20 N

Direction = Right

Unbalanced

2. Net force = 7 N

Direction = Right

Unbalanced

3. Net force = 25 N

Direction = Left

Unbalanced

4. Net force = 60 N

Direction = Left

Unbalanced

5. Net force = 0

Direction = There is no motion, and it is not moving in any direction, it is at rest.

Balanced

6. Net force = 4 N

Direction = Down

Unbalanced

Explanation below

Hope this helps :)

Explanation:

To calculate net force, we must look at the direction it's pointing and the number of Newtons (N). If the arrow/arrows are pointing in the same direction, add the numbers, and the direction would be where the arrow is pointing (left,right,up,down). If the arrow/arrows are pointing in different directions, subtract the bigger and little number, and the direction would be where the bigger number is pointing (left,right,up,down).

It is only balanced when the net force is equal to zero. If the net force equals a number that's not zero like 1 and continuing on forever then it would be unbalanced.

Answer:

The height of a column of sae 30 oil required to give the same pressure as 700 mm hg is 10.43 m

Explanation:

First convert the pressure from mmHg to Kpa.

Given that;

1 mHg = 133.322368 Pa

700 mmHg = 93.325679 KPa

Afterwards relate it to the pressure of SAE 30 oil

Note the density of SAE 30 oil is 912kg/m-3

γSAE 30 * h = 93325.6579 Pa

ρSAE 30 * g* h = 93325.6579 Pa

h = 93325.6579 Pa/912kg/m-3 *9.81 ms-2

h =10.43 m

This pressure is then equated with the pressure of sae 30 oil column. It is important to note that the difference in the densities of liquid and difference in the liquid column height all have the same static pressure.

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Answer:

-has many of the same properties as potassium.

Explanation:

Getting purpose congruence among division managers is the main obstacle to a decentralized company functioning efficiently.

When managers of organizational subunits work to accomplish the objectives stated by upper management, goal congruence is achieved.

Goal congruence occurs when individuals across various organizational levels have the same objective. A well-planned organizational structure results in goal congruence and enables an organization to cooperate to carry out a strategy.

In conclusion, goal congruence is a crucial tool for all organizations to use in order to accomplish their stated objectives. Congruent goals ensure that the organization's strategic goals are met and that all personnel are coordinated and motivated.

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The speed of the train after 15 seconds will be 6 m/s.

As the train is moving with constant acceleration, we have to use one of the equations of motion to calculate the final velocity of the train.

The equations of motion are:

S = ut + 1/2at^2  ..........(i)

v^2 - u^2 = 2as  ...........(ii)

V = u + at  .....................(iii)

Using equation (iii) v = u + at

u = 0 m/s

a = 0.4 m/s^2

t = 15 seconds

v = 0 + 0.4(15)

v = 6 m/s

Hence, The speed of the train after 15 seconds will be 6 m/s.

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