Why should an electrician use rubber gloves while repairing an electric switch at your home? Explain.

Answers

Answer 1

Answer:

necauserroubber can degate the effects of the electricity

Answer 2
Rubber is an insulator, meaning that electricity cannot pass through it. Therefore, the electrician will not come in direct contact with the electricity from the switch, meaning that they won’t be electrocuted.

Related Questions

4. Use the nebular theory to explain what happens to the lighter materials in the solar system. 5. The mass of Jupiter is 1.9 x 1030 g. The mass of Earth is 5.98 x 1027 g. Using this information, calculate the volume for Jupiter and Earth. Be sure to show all of your work and don't forget the units! 6. Using the data from question 5, how many Earths would fit into Jupiter? Show all of your work. 7. Using the mass data from question 5, how many Earth's would it take to equal the mass of Jupiter? Show all of your work.

Answers

4. Using the nebular theory, the solar system was formed from a cloud of gas and dust, called a nebula.

5. The volume for Jupiter and Earth if the mass of Jupiter is 1.9 x 10³⁰ g is 1.43 × 10²⁹ cm³ and the mass of Earth is 5.98 x 10²⁷ g is 1.09 × 10²¹ cm³.

6. Earths would fit into Jupiter 1,311 Earths Times.

7. Earth's mass would it take 317.7 to equal the mass of Jupiter.

According to the nebular theory, the solar system was formed from a cloud of gas and dust, called a nebula. As the nebula contracted, it heated up and began to rotate faster. The heavier materials, like metals and silicates, settled closer to the center and formed the Sun and the rocky planets. The lighter materials, like hydrogen and helium, were pushed further away from the center due to the solar wind, leading to the formation of gas giant planets like Jupiter and Saturn.

To calculate the volume for Jupiter and Earth, we'll need their densities. The average density of Jupiter is 1.33 g/cm³ and Earth's average density is 5.51 g/cm³. Using the mass and density, we can calculate the volume using the formula: Volume = Mass / Density.

For Earth:

Volume = (5.98 × 10²⁷ g) / (5.51 g/cm³) = 1.09 × 10²¹ cm³

For Jupiter:

Volume = (1.9 × 10³⁰ g) / (1.33 g/cm³) = 1.43 × 10²⁹ cm³

To find out how many Earths would fit into Jupiter, we'll need to divide Jupiter's volume by Earth's volume:

Number of Earths = (1.43 × 10²⁹ cm³) / (1.09 × 10²¹ cm³) = 1,311 Earths

So, about 1,311 Earths would fit into Jupiter.

To find out how many Earths would it take to equal the mass of Jupiter, we'll need to divide Jupiter's mass by Earth's mass:

Number of Earths = (1.9 × 10³⁰ g) / (5.98 × 10²⁷ g) = 317.7 Earths

So, it would take about 317.7 Earths to equal the mass of Jupiter.

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Which forms as a result of compressional stress? anticline and synclinenormal faultstrike-slip faultfault-block mountain.

Answers

Compressional stress causes synclines and anticlines to develop. Thus, the correct option is A.

What is Anticline ?

When previously horizontal strata are folded upward and the two limbs diverge from the surface, anticlines emerge.

Instead of shattering to create faults or joints, when rocks deform in a ductile way, they may bend or fold, and the resulting structures are known as folds. Folds are brought about by long-lasting compressional or shear stresses. These folds result from typically brittle rocks acting ductility under conditions of low strain rate and/or high temperature.

According to the definition

We get to know that

Compressional stress causes synclines and anticlines to develop. Thus, the correct option is A.

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(d) At certain frequency w silver has the index of refraction n = 0.006 and the extinction index K = 3.524. Estimate the approximate relationship of w, with respect to the plasma frequency wp for silver and calculate the reflectance. [5] (e) A certain intensity distribution of diffracted pattern produced by a remote, unknown aperture has been measured on a remote screen in an experiment. Describe how to reconstruct the aperture from this data.

Answers

The relationship between the plasma frequency wp and the refractive index

nwp² = n² + k²

The plasma frequency wp for a material is defined as the frequency at which its refractive index becomes equal to 1. Hence, for silver, at w = wp: 0.006 = sqrt(1 - k²) and 3.524 = kwp = wp*sqrt(1 - 0.006²)wp = 1.39 * 10^16 rad/sNow, let's calculate the reflectance. We know that the reflectance R of a thin film of thickness t on a substrate with refractive index n is given by

R = ((n² + k²) - 1)/(n² + k² + 1)

In the case of silver, we can assume that the film is so thin that the reflectance will be equal to that of the bulk material, which we can find from the refractive index. Hence,R = ((0.006² + 3.524²) - 1)/(0.006² + 3.524² + 1) = 0.995So the reflectance is approximately 0.995.e) The diffraction pattern produced by a remote aperture can be described using the Fourier transform of the aperture function.

If we know the intensity distribution of the diffraction pattern, we can use the inverse Fourier transform to obtain the aperture function. However, this process is not always straightforward, especially if the diffraction pattern has noise or the aperture is not a simple shape.To reconstruct the aperture from the diffraction pattern, we can use techniques such as phase retrieval or iterative algorithms. These methods involve making assumptions about the aperture and iteratively refining the aperture function until it matches the observed diffraction pattern. The specific algorithm used will depend on the details of the experiment and the aperture function being reconstructed.

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Drag the tiles to the correct boxes to complete the pairs.
Match the following astronomers to their contributions.
Galileo Galilei
Albert Einstein
Henrietta Swan Leavitt
Edwin Hubble
Georges Lemaître
theorized that the universe had a beginning
showed that the universe was expanding
demonstrated a method to calculate the distance of celestial bodies
was the first to use a telescope to observe the planets
huit a model of the inverse haced on relativity
2020 Edmentum. All rights reserved.

Answers

Answer:

Georges Lemaître  - theorized that the universe had a beginning

Albert Einstein  - huit a model of the inverse haced on relativity

Galileo Galilei  - was the first to use a telescope to observe the planets

Edwin Hubble  - showed that the universe was expanding

Henrietta Swan Leavitt  - demonstrated a method to calculate the distance of celestial bodies

is my choices report if wrong

Galileo Galilei was the first to use a telescope to observe the planets

Albert Einstein built a model of the universe based on relativity

Henrietta Swan Leavitt demonstrated a method to calculate the distance of celestial bodies

Edwin Hubble showed that the universe was expanding

Georges Lemaître theorized that the universe had a beginning

What is science?

Science is the methodical, empirically-based pursuit and application of knowledge and understanding of the natural and social worlds.

A method of learning about the world is science. Science allows people to participate in the creation of new knowledge as well as use that knowledge to further their goals. It is both a process, a product, and an institution.

Thus, The first person to observe the planets through a telescope was Galileo Galilei.

Based on relativity, Albert Einstein created a model of the universe.

A technique to determine the separation between celestial bodies was demonstrated by Henrietta Swan Leavitt.

Edwin Hubble demonstrated the expansion of the universe

According to Georges Lemaître, the universe had a beginning.

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If 200 ml of a gas at 27 degrees celsius is cooled to -33 degrees Celsius at a constant pressure , the volume will be
A 250ml
B 204ml
C 196ml
D 160ml

Answers

Given that,

Volume of gas, V₁ = 200 mL

Initial temperature, T₁ = 27°C

Final temperature, T₂ = -33°C

To find,

New volume of the gas.

Solution,

Initial temperature, T₁ = 27°C = 300 K

Final temperature, T₂ = -33°C = 240 K

Let V₂ is the new volume.

The relation between volume and temperature is given by :

\(\dfrac{V_1}{T_1}=\dfrac{V_2}{T_2}\\\\V_2=\dfrac{V_1T_2}{T_1}\\\\=\dfrac{200\times 240}{300}\\\\=160\ mL\)

Hence, the volume will be 160 mL.

The pressure 100 ft beneath the ocean's surface is approximately 4 atm (atmospheres), whereas at a depth of 200 ft, the pressure is about 7 atm. Assume that a constant rate of change exists for the model formed. a) Find a linear function that expresses pressure as a function of depth. b) Use the function from part (a) to determine the pressure at a depth of 660 ft.

Answers

The linear function expressing pressure (p) as a function of depth (d) is: p = 0.03d + 1. The pressure at a depth of 660 ft is approximately 20.8 atm.

a) To find a linear function that expresses pressure as a function of depth, we can use the given data points (depth, pressure) = (100 ft, 4 atm) and (200 ft, 7 atm).

Let's denote the depth as "d" and the pressure as "p". We can set up a linear equation in the form p = mx + b, where m represents the rate of change of pressure with respect to depth, and b is the y-intercept.

Using the two data points, we can find the slope (m) as:

m = (change in pressure) / (change in depth)

= (7 atm - 4 atm) / (200 ft - 100 ft)

= 3 atm / 100 ft

= 0.03 atm/ft

Substituting one of the data points (100 ft, 4 atm) into the linear equation, we can find the y-intercept (b):

4 atm = 0.03 atm/ft * 100 ft + b

b = 4 atm - 3 atm

b = 1 atm

Therefore, the linear function expressing pressure (p) as a function of depth (d) is:

p = 0.03d + 1

b) To determine the pressure at a depth of 660 ft using the function from part (a), we substitute d = 660 ft into the equation:

p = 0.03 * 660 + 1

p = 19.8 + 1

p ≈ 20.8 atm

Thus, the pressure at a depth of 660 ft is approximately 20.8 atm.

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which has the greatest inertia

A. Jumbo Jet
B. Bird
C. Car​

Answers

Answer:C car

Explanation:

At the time of Copernicus, what was the strongest argument against the heliocentric or Sun-centered model of the Solar System?


The fact that the earth does not seem to be in motion

Telescopic observations showing that the solar system orbits were not circular

The fact that Mars has episodes of retrograde motion

The fact that Venus shows phases

Answers

Answer:

the fact that Venus shows phases

Explanation:

If the mass of the bar is 50kg, and Shelbi exerts 550N of force, what is the acceleration of the bar?

Answers

If the mass of the bar is 50kg, and Shelbi exerts 550N of force, the acceleration of the bar is 11 N/m².

Describe force.

A push, pull, or hit on any object that causes a change in its state of motion is referred to as applying force. One thing experiences a force from another. For instance, we can say that when a force was applied to the box in the form of a push, it changed its state from rest to motion because when a box is pushed, it goes forward and changes its state of motion.

Describe acceleration.

Accelerations are vector quantities. According to Newton's Second Law, an object's acceleration is the result of two factors working together: the object's mass, which varies depending on the materials it is made of, and the net balance of all external forces acting on it.

Briefing:

Acceleration= Force/Mass =550/50 = 11m/s²

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You wish to date a hip bone fragment you found at a cave site.
You find a ratio of 1 14C atoms for every 31 14N atoms. How many
half- lives have elapsed?

Answers

To determine the number of half-lives that have elapsed, we need to compare the ratio of 14C to 14N atoms found in the hip bone fragment.

The ratio of 1 14C atom for every 31 14N atoms suggests that the hip bone fragment contains a smaller amount of 14C compared to the expected ratio found in a living organism. Since 14C undergoes radioactive decay with a half-life of approximately 5730 years, we can calculate the number of half-lives that have elapsed by observing how many times the ratio needs to double to reach the expected ratio.

In this case, if the expected ratio is 1:1, then the observed ratio of 1:31 would require five doublings to reach 1:1. Therefore, approximately five half-lives have elapsed since the death of the organism from which the hip bone fragment originated.

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¿Cómo se ubica con alta precisión un punto en el planeta?

Answers

Answer:

How is a point on the planet located with high precision?

Explanation:

The MACE test platform: The device pictured on the right sideof the MACE platform simulates a satellite instrument which scans andpoints. The device on the left side simulates an instrument which is usedto point at a precise location on the Earth.

La plataforma de prueba MACE: El dispositivo que se muestra en el lado derecho de la plataforma MACE simula un instrumento satelital que escanea ypuntos. El dispositivo en el lado izquierdo simula un instrumento que se utiliza para apuntar a una ubicación precisa en la Tierra.

Which of the following types of waves does this picture represent?

Which of the following types of waves does this picture represent?

Answers

Answer:

Sound

Explanation:

A sound wave is a pressure wave; regions of high pressure (compressions) and low pressure (rarefactions) are established as the result of the vibrations of the sound source.  

There are very large numbers of charged particles in most objects. why, then, don’t most objects exhibit static electric effects?

Answers

This is because the phenomenon of static electricity requires the separation of positive and negative charges. When two substances are in contact electrons are transferred from one to the other leaving one with an excess positive charge and the other with an equal negative charge.

There are equal numbers of positive and negative charges so an object is electrically neutral. Because the phenomenon of static electricity requires the separation of positive and negative charges. When two substances are in contact electrons are transferred from one to the other leaving one with an excess positive charge and the other with an equal negative charge.

The negative charge on the earth's surface is balanced by the same positive charge in the atmosphere. An atom has a net positive charge if the number of protons is greater than the number of electrons, and a net negative charge if the number of electrons is greater than the number of protons.

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The star Betelgeuse is about 600 light-years away. If it explodes tonight, approximately when can it be observed?

Answers

The star Betelgeuse is about 600 light-years away. If it explodes tonight, approximately: we won't know about it until 600 years from now.

What is light-years?

Rather than measuring time, a light-year measures distance (as the name might imply). The distance a light beam travels in a single Earth year is measured in "light-years," which is roughly equivalent to 6 trillion miles (9.7 trillion kilometers).

Because the cosmos is expanding, the light that goes the farthest is stretched the most, resulting in the object that emitted that light being farther away. The expanding cosmos is the reason we can see things up to 46.1 billion light-years away. According to a common model of the Universe, some of the most recently discovered objects may be more than 13 billion light years away.

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T/F travis and craig are both standard users on the newtork each user has a folder on the network serve r that only they can access

Answers

The statement "travis and craig are both standard users on the network each user has a folder on the network serve r that only they can access" will be true.

This situation describes the result of a successful privilege escalation attack. If a user is able to access content that should only be accessible to a different user, it is obvious that a privilege escalation attack has occurred.

Social engineering attacks involve stealing information or convincing someone to perform an inappropriate activity via email, phone, or in person.

A cyberattack called a "privilege escalation attack" aims to break into a system with privileged access without authorization. Attackers take advantage of user error, flawed design, or operating system or web application oversights.

An effective privilege escalation attack would produce the situation described here. A privilege escalation attack has undoubtedly taken place if a user has access to information that should only be available to another user.

Therefore, the given statement will be true.

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Which object will accelerate less if the
same force is applied to both--an
apple or a couch? Why

Answers

If we apply same force  to both-an apple or a couch, the object which will accelerate less is couch.

What is acceleration?

Acceleration is the term used to describe the pace at which speed and direction of velocity vary over time. Something is said to be accelerating when it starts to move faster or slower. Even when the speed is constant, motion on a circle accelerates because the direction is always keeps shifting. Both impacts cause all other motions to speed up.

The couch will accelerate less because

F = m a

where, F = force, m = mass, a = acceleration.

This equation can also be written as

a = F/m

It tells us that the acceleration is inversely proportional to mass.

so, in the question given the mass of couch will greater as compared to an apple so the acceleration of the couch will be lesser as compared to apple.

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Dos masas están conectadas por una cuerda ligera que pasa por una polea sin rozamiento. Determine la aceleración de las masas y la tensión de la cuerda si m Kg A  20 , m Kg B  50 y  0.20  K A Y B

Answers

Answer:A

Explanation:

what vehicle component transfers engine torque to the axles allowing the wheels on the same axle to turn at different speeds

Answers

Differentials are the components of a car that transfer engine torque to the axles allowing the wheels on the same axle to turn at different speeds.

There are two differentials in a car. The first one is located on the rare wheels and the second one is located on the front wheels.

The purpose of differentials is to allow the wheels to turn at different speeds required when the car is making a turn. The differentials send the torque from the transmission to the drive wheels.

During the turn, the differentials allow the front and rare wheels to turn at different speeds.

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(ANSWER PLEASE)
Which of the following answer options are your employer's responsibility?

A) Develop a written hazard communication program


B) Implement a hazard communication program


C) Maintain a written hazard communication program

Answers

Realistically it would be all of them, but technically it would be A. Since they would have to at least give the employees a hazard communication program..

The option that represents your employer's responsibility is to develop a  written hazard communication program. Thus, the correct option for this question is A.

What are the advantages of a communication program?

The advantages of a communication program are as follows:

It helps in the clarification of the goals and objectives of an individual. It significantly articulates the relationship between the speaker and the listener.  It promotes the loyalty, engagement, and productivity of the team.

The responsibility of the employer is to develop and articulate the concept of a hazard communication program in detailed written form in order to satisfy the need and requirements of the team, person, society, etc. This becomes more important when it comes to synthesizing the thinking of large members in a single format.

Therefore, developing a written hazard communication program is an option that represents your employer's responsibility. Thus, the correct option for this question is A.

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Two boxes of masses m1 and m2 are descending vertically at a constant acceleration a =g/11; they are attached by a string of negligible mass and the upper box is attached to a second string. What is the tension in the string that runs between the lower box of mass m2 and the upper box of mass m1 in this situation?

Answers

The tension in the string that runs between the lower box of mass m2 and the upper box of mass m1 in this situation

is T = (10/11)(m2g - m1g).

The tension in the string that runs between the lower box of mass m2 and the upper box of mass m1 in this situation can be calculated using Newton's second law of motion. The formula for Newton's second law of motion is F = ma, where F is the force, m is the mass, and a is the acceleration.

For the lower box of mass m2, the forces acting on it are the weight of the box (m2g), the tension in the string between the two boxes (T), and the force of the acceleration (m2a). Using Newton's second law of motion, we can write the equation:

m2g - T - m2a = 0

For the upper box of mass m1, the forces acting on it are the weight of the box (m1g), the tension in the string between the two boxes (T), the tension in the second string (T2), and the force of the acceleration (m1a). Using Newton's second law of motion, we can write the equation:

m1g - T - T2 - m1a = 0

Since the acceleration is constant and equal to g/11, we can substitute this value into the equations and solve for the tension in the string between the two boxes (T):

m2g - T - m2(g/11) = 0

m1g - T - T2 - m1(g/11) = 0

Solving for T in the first equation gives us:

T = m2g - m2(g/11)

T = (10/11)m2g

Substituting this value of T into the second equation and solving for T2 gives us:

m1g - (10/11)m2g - T2 - m1(g/11) = 0

T2 = (10/11)m2g - m1g + m1(g/11)

T2 = (10/11)m2g - (10/11)m1g

T2 = (10/11)(m2g - m1g).

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Suppose the economy is thought to be 1 percent below potential (i.e., the output gap is -1 percent), when potential output grows 4 percent per year. Suppose the Fed is following the Taylor rule, with an inflation rate of 4 percent over the past year. The equilibrium real fed funds rate is 3 percent, the weight on the output gap is 0.75 and the weigh on the inflation gap is 0.25. The inflation target is 1 percent. What should the federal funds rate be

Answers

First, we need to understand the Taylor rule. It is a monetary policy rule that suggests the central bank should adjust interest rates based on changes in inflation, output, and other economic conditions. According to the Taylor rule, the federal funds rate should be set based on the inflation rate, the output gap, and the equilibrium real fed funds rate.

In this scenario, the output gap is -1 percent, which means that the economy is operating below its potential. Potential output grows at 4 percent per year. The inflation rate over the past year is 4 percent, which is above the inflation target of 1 percent. The equilibrium real fed funds rate is 3 percent, which is the rate that would prevail in a hypothetical world where inflation is at its target level and the economy is operating at potential.

Now, we can use the Taylor rule to calculate the federal funds rate. The formula is:

Federal Funds Rate = Equilibrium Real Fed Funds Rate + (0.5 x Inflation Gap) + (0.5 x Output Gap x Weight on Output Gap)

Plugging in the values, we get:

Federal Funds Rate = 3 + (0.5 x (4-1)) + (0.5 x (-1) x 0.75)
Federal Funds Rate = 3 + 1.5 - 0.375
Federal Funds Rate = 4.125

Therefore, the federal funds rate should be 4.125 percent. This rate is higher than the current federal funds rate, which is currently set at 0-0.25 percent. The increase in the federal funds rate is necessary to curb inflation and bring the economy back to its potential level.

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nellie hangs from a pair of ropes at an angle. tension in the ropes depends on the__.
always equal her weight
always equal half her weight
depend on the angle of the ropes to the vertical
are twice her weight

Answers

When Nellie hangs from a pair of ropes at an angle, the tension in the ropes c. depends on the angle of the ropes to the vertical. The angle at which the ropes are hanging affects the amount of tension that is required to keep Nellie suspended in the air.

The tension in the ropes will increase as the angle of the ropes to the vertical decreases. This is because the angle of the ropes affects the horizontal and vertical components of the force acting on Nellie. When the ropes are at a steep angle, there is more of a vertical force acting on Nellie, which means that the tension in the ropes will need to be greater in order to keep her suspended.
The tension in the ropes will always be equal to Nellie's weight when the ropes are at a 90-degree angle to the vertical. However, as the angle decreases, the tension in the ropes will increase. Therefore, the tension in the ropes will never be equal to half her weight or twice her weight, but rather it will depend on the angle of the ropes to the vertical.
In conclusion, the tension in the ropes that Nellie hangs from at an angle depends on the angle of the ropes to the vertical. The greater the angle, the greater the tension needed to keep her suspended.

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6. The volume of a water tank is 5 m × 4 mx 2 m. If the tank is half-filled with water, calculate the pressure exerted at the bottom of the tank.

Answers

Answer:

Height (h)=4m so. tank is half filled the debth will be or heigth will be 4m/2 =2m

Explanation:

Acceleration deu to gravity (g)=9.8m/s^2

Density (d)=1000kg/m^3

So

P= hdg

P= 2×9.8×1000

P= 19600pa

explain why many houses in hot areas like Mombasa should be painted white while those in colder places like timboroa should be painted with dark colours​

Answers

Answer:

 In places of hot climate, it is advised that the outer walls of house be painted white because white color does not absorb any heat radiation from the sun which keep inside cool even if there is hot climate outside the house.

A crest on a transverse wave is to a compression in a longitudinal wave as a trough is to _____ A) a resonance B) a rarefaction C) a beat D) interference

Answers

A trough on a transverse wave is to a rarefaction in a longitudinal wave.
In a transverse wave, the particles move perpendicular to the direction of the wave's motion. A crest is the highest point of the wave, while a trough is the lowest point.
In a longitudinal wave, the particles move parallel to the direction of the wave's motion. A compression is a region where particles are closely packed together, and a rarefaction is a region where particles are more spread out.
When comparing the two types of waves, a crest in a transverse wave corresponds to a compression in a longitudinal wave due to the increased particle density at that point.
Similarly, a trough in a transverse wave corresponds to a rarefaction in a longitudinal wave since the particles are less densely packed at that point.

So, the correct answer is B) a rarefaction.

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SCIENCE - A version of the law of conservation of energy expressed as ΔU=Q-W, which states that the total energy of an isolated system is constant (a change in internal energy of a system is equal to the heat added minus the work done), is commonly referred to as the first law of what?

Answers

The equation ΔU=Q-W is commonly referred to as the first law of thermodynamics.

Where...

"ΔU" represents the change in internal energy of a system.

"Q" represents the sum of all heat transferred in and out of a system.

"W" represents the work done by the system.

The law simply states that energy is not created nor destroyed, it can only be converted from one form to another (such as heat, light, etc..).  

Which statement describes the wave interactions in sound navigation and ranging (SONAR)? Sound is transmitted through the water and diffracted by hard surfaces.

Answers

In Sound Navigation and Ranging (SONAR), the sound wave is transmitted through water and it will reflect by hard surfaces. Option B) is correct.

SONAR is used to create nautical charts, find underwater navigation hazards, search for and map things on the seafloor such as shipwrecks and map the seafloor itself, waves are transmitted into the waver and reflected by hard surfaces.

The transmission and receiving of sound waves are involved in active sonar. For example, when a submarine is used to map the topography of the ocean floor.

It emits sound pulses known as pings towards the bottom of the ocean in its area.

Thus, 'Sound is transmitted through water and reflected by hard surfaces is the correct option'.

The question is incomplete. The options are missing in the question. They are A) Sound is transmitted through the water and diffracted by hard surfaces. B) Sound is transmitted through the water and reflected by hard surfaces. C) Sound is diffracted through the water and transmitted by hard surfaces. D) Sound is diffracted through the water and reflected by hard surfaces.

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A ball is projected horizontally from the top of a cliff and free falls to the ground.
Which one of the following statements accurately describes the ball's motion?

Answers

They will both land at the same time.

Looking at the examples below and select the change in matter that is an example of a physical change A Ice Melting B leaves changing color C starting a fire

Answers

Answer: Your answer will be A

An astronaut's training centrifuge has a radius of 4.0m. If it goes round once every 2.5s, calculate the velocity of the end of the centrifuge arm (4.0m from the pivot).

Answers

Answer: 10.048m/s

Explanation:

We know that the radius is r = 4.0m

And for rotating things, the tangential velocity (or the velocity of the end of the centrifuge arm) can be calculated as:

v = r*w

The period is T = 2.5s,

This means that if sin(w*t) describes this situation, we have that:

sin(w*t) = sin(w*(t + T))

and we know that:

sin(w*0) = 0

sin(w*(0 + T)) = Sin(w*T) = 0

this means that w*T = 2*pi

w = 2*pi/T = 2*pi/2.5s = (2*3.14)/2.5 s = 2.512 hz

Then the velocity can be calculated as

v = r*w = 4.0m*2.512hz = 10.048m/s

Other Questions
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