can its acceleration vector ever point west? explain. match the words in the left column to the appropriate blanks in the sentences on the right.

Answers

Answer 1

No, its acceleration vector cannot point west because acceleration is defined as a change in velocity. If an object's velocity is moving in the east direction, then its acceleration vector cannot point in the opposite, west direction.

Are there any physical laws or principles that dictate the direction of the acceleration vector?

Yes, the direction of the acceleration vector is dictated by physical laws and principles. According to Newton's second law, the acceleration vector is directly proportional to the net force acting on an object and inversely proportional to its mass. The direction of the net force determines the direction of the acceleration vector. In addition, the acceleration vector is always in the direction of the change in velocity of the object, and it is opposite the direction of the change in velocity if the object is slowing down. These laws and principles help to explain the direction of the acceleration vector for objects in motion.

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Related Questions

How can a model represent the potential energy in a system when the distance between stationary objects changes?

Answers

The potential energy in a system is inversely proportional to the distance  between stationary objects. So, if the distance between stationary objects changes, potential energy also changes inversely.

What is potential energy?

Potential energy is a form of stored energy that is dependent on the relationship between different system components. When a spring is compressed or stretched, its potential energy increases. 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.

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a 250 gm ice-cube is thrown in an ice-rink and it travels 40 meters. the same cube is thrown with the same horizontal velocity on a football field and it travels 5 meters. why is that?

Answers

The reason why an ice cube travels further in an ice rink than on a football field is the friction force on a football field bigger than the friction force in an ice rink.

According to non-uniform motion v₂² = v₁² + 2ad

v₁ = initial velocity
Both of ice cubes has the same initial horizontal velocity.v₂ = final velocity
Both ice cubes stopped after traveling a certain distance.a = accelerationd = distance
d₁ = distance in an ice rink = 40 m
d₂ = distance on a football field = 5 m
d₁  > d₂

v₂² = v₁² + 2ad

0 = v₁² + 2ad

2ad = - v₁²

a = - v₁² ÷ 2d

Because d₁  > d₂a₁  < a₂

According to Newton's second law

F = m a

m = mass
Both ice cubes has the same massF = forceBecause a₁  < a₂F₁  < F₂The friction force in an ice rink is bigger than the friction force on a football field.

The frictional force is always opposite to the direction of the object's motion. The object will slow down or has a negative acceleration.

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in this situation, how far from the positive charges (a finite distance from them) is the location where the net electric field is zero? m

Answers

The location where the net electric field is zero is not a finite distance from the positive charges in this situation. The electric field due to each positive charge points radially away from the charge and the electric field due to the negative charge points radially towards it.

The net electric field is the vector sum of the electric fields due to all the charges, and it will not be zero anywhere in space since the positive charges and negative charge are not symmetrically placed.

The electric field at any point in space is defined as the force per unit charge experienced by a test charge placed at that point. In the given situation, the electric field due to the four positive charges will point radially away from the charges and will have a magnitude that decreases with increasing distance from the charges. The electric field due to the negative charge will point radially towards it and will have a magnitude that also decreases with increasing distance from the charge.

When these electric fields are combined to form the net electric field, the resulting field will not be zero anywhere in space since the positive charges and negative charge are not symmetrically placed. This means that if a test charge were placed at any point in space, it would experience a net force due to the electric fields.

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The complete question is:

Set up a situation in which you have four positive charges placed on top of each other at one location, and then a single negative charge 1 m away from the positives.

a. In this situation, how far from the positive charges (a finite distance from them) is the location where the net electric field is zero? _______ m

a rabbit runs 40 ? to west, sees the farmer, turns back and runs 60 ? to east. what is the total displacement of the rabbit?

Answers

The displacement is just the difference in where the two markings are located, and it is unrelated to the direction taken. However, the distance travelled is the length of the entire path 8.79m.

What is a displacement example?

Alteration in a material's position in relation to a frame is known as displacement. For instance, a billiards ball moves of one spot to another when a player hits it. It is alleged to have moved. A vector quantity with both magnitude and orientation is displacement.

How can displacement issues be resolved?

S = x2 + y2 is the displacement formula that results. For displacement, use the letter "S." The object is moving in two directions at once: X in the first direction and Y in the second. Y = 0 if your item only moves in one direction.

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why is there a bigger difference in resistance when connecting to the center terminals of a potentiometer

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Because of the change in the configuration of the wire, there is a bigger difference in resistance when connecting to the center terminals of a potentiometer.

Slider potentiometers, also known as slide-pots, are designed to vary the value of their contact resistance by a linear motion, and as such, the position of the slider contact and the output resistance have a linear connection. When we turn the knob on a potentiometer, the resistance changes linearly or logarithmically. The taper refers to how the resistance varies. Turning a knob a specific amount changes the resistance by a fixed amount regardless of the location of the knob in a linear taper potentiometer. When connected to the central terminal, the change in metal configuration also leads to the resistance difference in addition to the above stated reasons.

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alvin can jog 9 km in 0.75 hr. and bicycle 12 km in 0.5 hr. how many kilometers does alvin travel during each event?

Answers

As a result, Alvin covers a distance of 12 km/hr or 24 km/hr for each event (jogging or bicycling).

What is distance?

The quantity or size of displacement between two places is defined as distance. It is important to note that the distance between two points is not the same as the distance traveled between them. The total length of the path traveled between two points is referred to as the distance traveled. Distance is the length of an object's route, whereas displacement is merely the distance between where the thing began and where it finished up.

Here,

When Alvin jogs, he covers 9 km in 0.75 hours, so his speed is 9 km / 0.75 hours = 12 km/hr.

When Alvin bicycles, he covers 12 km in 0.5 hours, so his speed is 12 km / 0.5 hours = 24 km/hr.

Therefore, during each event (jogging or biking), Alvin travels a distance of 12 km/hr or 24 km/hr, respectively.

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A closed system can exchange:
(A) matter with the surroundings
(B) energy with the surroundings
(C) both A and B
(D) none of the above

Answers

B is the correct answer

Pls mark me brainliest

Hope this helps have an excellent day!

If the mass of both objects was tripled, and if the distance between the objects was doubled, then what would be the new force of attraction between the two objects?

Answers

The force would grow by a factor of 9 (3*3) and the mass would increase by a factor of 3 if the distance between the two items doubled and each object's mass tripled.

What is force?

At this time, it is appropriate to refer to a force as a push or a pull. A force that an object "has in it" or "contains" does not exist. One object experiences a force from another. Living organisms and inanimate objects are both included in the concept of a force. A massed object's velocity can be changed or elevated by a force. A push or a pull are two straightforward ways to demonstrate force. A force is a vector quantity since it has both a magnitude and a direction.

How many types of force are there?

Both direct force and distant action Two different types of forces exist. It's clear that you utilise force consistently. Forces are just push and pull. You exert force on an object when you push or pull against it.

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my flashlight normally gives off 100 units of light and i do not notice that it is getting dimmer until it gets to 95 units. what is the jnd?

Answers

Batteries are underpowered or dead. The power released by batteries decreases with time, causing most flashlights' illumination to gradually dim until turning out totally.

When you turn on the torch, why does it emit light?

The tungsten filaments or LED in the lamp starts to glow when electricity turns it on, emitting visible light. The lamp's reflector, which is positioned around it, reflects this light.

My rechargeable torch won't charge; why?

To be sure that no debris or grime is blocking the flashlight from charging, check the USB port. To test if a fresh battery will help, try using the flashlight. Use a fresh charging cable or adapter to.

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If you are not familiar with the information a DSM contains how can you complete it more quickly
a. By answering all questions confidently and correctly
b. By using the I DON'T KNOW YET answer point
c. By studying beforehand
d. I DON'T KNOW YET

Answers

If you are not familiar with the information a Diagnostic and Statistical Manual (DSM) contains, what you can do to familiarize yourself with the DSM and complete it by studying beforehand. The correct answer is c.

DSM stands for Diagnostic and Statistical Manual, which is a tool used by mental health professionals to diagnose and categorize mental health conditions. To complete the DSM efficiently and accurately, it is important to have a good understanding of the information it contains.

This requires prior study and familiarization with the various diagnostic criteria, symptoms, and definitions. By studying beforehand, you will have a better understanding of what information is being sought and be better equipped to provide accurate and relevant responses.

This can help you to complete the DSM more quickly and with greater accuracy. It's important to note that relying on memory or guesswork may lead to inaccuracies or misinterpretations, which can impact the diagnosis and treatment of the patient.

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if two such generic humans each carried 1.0 c coulomb of excess charge, one positive and one negative, how far apart would they have to be for the electric attraction between them to equal their 650 n weight? express your answer in kilometers.

Answers

The required distance between the two charges is r ≈ 0.098 km.

How to use Coulomb law to find distance between charges?

The force of attraction between two point charges is given by Coulomb's law:

F = k * q1 * q2 / r^2

where

F is the force of attraction (in N)

k is the Coulomb constant (8.987551787 x 10^9 Nm^2/C^2)

q1 and q2 are the magnitudes of the charges (in C)

r is the separation between the charges (in meters)

Setting the force equal to the weight (650 N) and solving for r, we get:

According to question:

650 = k * 1.0 C * 1.0 C / r^2

r = [tex]\sqrt{\frac{k * 1.0 C * 1.0 C}{650N} }[/tex]

Converting r to kilometers:

r = √(k * 1.0 C * 1.0 C / 650 N) / 1000 m/km

r = √(8.987551787 x 10^9 Nm^2/C^2 * 1.0 C * 1.0 C / 650 N) / 1000 m/km

r ≈ 0.098 km

So the two charges would have to be approximately 0.098 km apart for the electric attraction between them to equal their 650 N weight.

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a baseball is hit at ground level. the ball is observed to reach its maximum height above ground level 3.0 seconds after being hit. and 2.5 seconds after reaching this maximum height, the ball is observed to barely clear a fence that is 320 ft. from where it was hit. how high is the fence? (the acceleration of gravity is -32.2 ft/s 2 .)

Answers

To find the height of the fence, we need to find the final height of the ball after it was hit and then subtract the height of the fence.The final height of the ball can be found using kinematic equations. Using the initial velocity, acceleration due to gravity, and time elapsed, we can find the final height of the ball:h = vi * t + 0.5 * a * t^2whereh = final height

vi = initial velocity (0, since it was hit from ground level)

t = time elapsed (3.0 s)

a = acceleration due to gravity (-32.2 ft/s^2)Substituting the values,h = 0 + 0.5 * -32.2 * (3.0)^2 = 45.3 ftNext, we need to find the height of the ball 2.5 seconds after it reached its maximum height.Using the same kinematic equation,h = vi * t + 0.5 * a * t^2whereh = final height

vi = initial velocity (0, since it was at its maximum height)

t = time elapsed (2.5 s)

a = acceleration due to gravity (-32.2 ft/s^2)Substituting the values,h = 0 + 0.5 * -32.2 * (2.5)^2 = 18.825 ftFinally, subtracting the final height of the ball from the height of the fence:fence height = 320 ft - 18.825 ft = 301.175 ftSo, the fence is 301.175 ft high

the expanding universe theory group of answer choices is supported by the fact that all galaxies exhibit a blue shift.

Answers

Option e: The expanding Universe theory contends that galaxies are rapidly moving away from Earth and from one another. The fact that all galaxies exhibit a red shift lends support to this theory.

The question of when the expansion began is raised. This resulted in the development of the big bang theory.

Our galaxy, the Milky Way, is typical in that it has at least ten times as much dark matter as all the stars and gas combined, hundreds of billions of stars, and enough gas and dust to create billions more stars. And gravity holds everything in place.

The Milky Way is spiral-shaped, like more than two-thirds of all known galaxies. There is a lot of energy being produced at the spiral's center, and occasionally there are bright flares as well. Astronomers come to the conclusion that the Milky Way's core is a supermassive black hole based on the enormous gravity that would be necessary to account for the motion of stars and the energy released. Some galaxies have peculiar forms, while others have elliptical shapes.

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The complete question is:

The expanding Universe theory:

a) contends that galaxies are moving away from Earth and from each other at fantastic speed.

b) is supported by the fact that all galaxies exhibit a red shift.

c) raises the question of when the expansion began.

d) resulted in the formulation of the big bang theory.

e) All of the above are true.

what will happen to the charge on the second ball (i.e., the ball further away from the rod) if it is momentarily grounded while the rod is still there? g

Answers

If the second ball is momentarily grounded while the rod is still there, the charge on the second ball will be neutralized.

What is meant by grounding?

Grounding is the process of removing excess charge on object by means of transfer of electrons between it and another object of substantial size. When charged object is grounded, then the excess charge is balanced by the transfer of electrons between the charged object and ground.

When the second ball is grounded, it establishes an electrical connection with the Earth, allowing excess electrons to flow from the ball to the Earth, thus neutralizing its charge.

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the quantity that has units is known as a multiple choice horsepower. joule. newton. watt.

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Joule is a measure of quantity with units kgm²/s² (option 2)

A physical quantity is anything that can be measured in the physical world. A table's length, for instance, can be measured. In this case, length is a numerical value. Your body's mass can be measured because it is a physical quantity. Time is a physical quantity, thus you can quantify the amount of time you are spending reading this book.

The International System of Units uses the joule as its unit of energy. It is equivalent to the amount of work that is accomplished when a mass is displaced by a force of one newton over a distance of one meter in the direction of the force applied.

International system base unit is kgm²/s².

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show answer no attempt 50% part (a) what type of wave is created through a battering ram when it hits a wall?

Answers

When a battering ram strikes a wall, it creates a type of mechanical wave known as a pressure wave or a shock wave.

Pressure waves are created by the transfer of energy through a medium, such as a wall or the air, as a result of a sudden change in pressure. The energy from the battering ram creates a compression wave that moves out from the point of impact and spreads throughout the medium. This type of wave is different from transverse waves, such as light or radio waves, which move perpendicular to the direction of the wave's motion, or longitudinal waves, such as sound waves, which move parallel to the direction of the wave's motion. The pressure wave created by the battering ram is an example of a longitudinal wave that moves through the medium, transmitting the energy from the ram to the wall.

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How did the discovery of magnetically-aligned particles inside of magma change the way we looked at the Earth and lead to the most important discovery in Geology?

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The discovery of magnetically aligned particles inside of magma allowed geologist to discover plate tectonics.

What is the impact of magnetically-aligned particles inside of magma?

The discovery of magnetically aligned particles inside of magma, also known as magnetic minerals, led to the realization that the Earth's magnetic field has reversed itself many times in the past.

This, in turn, led to the development of paleomagnetism, the study of the Earth's ancient magnetic field. This discipline allowed geologists to determine the latitude of rocks at the time they were formed and to reconstruct the movements of tectonic plates, leading to the most important discovery in geology known as plate tectonics.

Plate tectonics revolutionized our understanding of the Earth's structure and how it has evolved over time.

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a wheel rotates 3 times. what is its angular displacement? 8) if a 30 cm radius wheel rotates through 3 radians how far has it rolled? 9) what is the angular displacement of the minute hand on a clock during a 30 minute interval. 10) three hours pass by. what is the angular displacement of the hour hand on the clock during this interval?

Answers

The hour hand's angular displacement is 360 degrees in 12 hours, or 30 degrees each hour.

What is angular displacement example?

The angle made by the body from its point of rest at any point in the rotational motion is the angular displacement. For example- If a dancer dancing around a pole does one full rotation, his or her angular rotation will be 360°. On the other hand, he or she makes half a rotation; the displacement will be 180°.

What is displacement answer?

The word displacement implies that an object has moved, or has been displaced. Displacement is defined to be the change in position of an object.

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a stone is dropped from a cliff and touched the ground with velocity 72 m/s. find the height of the motion?

Answers

The height of the cliff from which the stone was dropped is approximately 266.667 meters.

Where h is the height of the cliff, v_0 is the initial velocity (0 m/s), a is the acceleration due to gravity (9.8 m/s^2), and t is the time it took for the stone to fall to the ground.

Since the final velocity of the stone is given (72 m/s), we can use the equation:

v_f^2 = v_0^2 + 2 * a * h

Rearranging the equation and substituting the values of v_f and a:

h = (v_f^2 - v_0^2) / (2 * a)

= (72^2 - 0^2) / (2 * 9.8)

= (5184) / 19.6

= 266.667 m

Velocity is a measure of the rate of change of an object's position with respect to time. The magnitude of velocity is a measure of how fast an object is moving, while its direction indicates the direction of motion.

The unit of velocity is meter per second (m/s), which means the rate at which an object is covering distance in a given direction. The velocity of an object can be calculated using the formula v = Δx/Δt, where Δx is the change in position and Δt is the change in time.

An object can have constant velocity, meaning its speed is the same at all points in time, or its velocity can vary, such as when it is accelerating or decelerating. The velocity of an object can also be negative, indicating that it is moving in the opposite direction.

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which is best to use in order to find the straightest distance between two far distant points on the earth? a flat map a great circle an official roadmap

Answers

SOLUTION:

A great circle is the straightest distance between two distant points on the earth.

It's not necessarily the shortest path (displacement) between two points to draw a straight line. The geometry of the object or surface in consideration determines the shortest path between two places. The shortest distance on a flat surface is a line, however, on spherical surfaces, like the Earth, the smallest distance is a great circle.

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for a scene in an action movie, a car drives at 25.0 m/s directly toward a wall. the car's horn is on continuously and produces a sound of frequency 415 hz . if the speed of sound is 340 m/s and the air is still, what is the frequency of the sound that the driver of the car hears reflected from the wall?

Answers

The frequency of the sound that the driver hears reflected from the wall is approximately 472.56 Hz.

To find the frequency of the sound that the driver of the car hears reflected from the wall, we need to consider the Doppler effect.

The frequency of the sound will change due to the relative velocity of the car and the sound wave.

Let f be the frequency the driver hears reflected from the wall.

Then, we can use the equation:

f = f0 * (v + vs) / (v + vr)

where f0 is the original frequency of the horn,

vs is the speed of sound, and

vr is the relative velocity of the car and the sound wave.

In this case, f0 = 415 Hz, vs = 340 m/s, and vr = 25 m/s (the car is moving toward the wall).

Plugging these values in, we get:

f = 415 * (340 + 25) / (340 - 25)

f = 415 * 365 / 315

f = 472.56 Hz

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A new kind of toy ball is advertised to ""bounce perfectly elastically"" off hard surfaces

Answers

A toy ball that is advertised to "bounce perfectly elastically" off hard surfaces means that the ball will rebound from a surface with the same energy it had before it hit the surface. In other words, the ball will lose no energy due to inelastic deformation.

What is the term elasticity mean?

Elasticity is a property of materials that refers to their ability to return to their original shape after being deformed by an applied force. When a material is deformed elastically, it experiences a restoring force that is proportional to the magnitude of the deformation.

How to find elasticity of any object?

The elasticity of an object can be determined experimentally by applying a force to the object and measuring the resulting deformation. There are several methods for doing this, depending on the type of object and the conditions under which it is tested.

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multiple choice question a point charge q is enclosed by a gaussian surface in the shape of a pyramid with sides of length l. what is the total electric flux through the pyramid?

Answers

A radius R Gaussian spherical surface encloses a charge Q. The electric flux will increase when the radius is doubled. either a) stay the same; or b) multiply by four.

An electric charge is what?

When retained in an electromagnetic field, stuff with an electric charge experiences a force according to its physical nature. The 2 types of electric charges—positive and negative—that protons and electrons most frequently carry are positive and negative. An object is considered neutral when its net charge is equal to zero.

What does charge in science mean?

Discover the meaning of charge in science. Charge often refers to electric charge in chemistry and physics, which is a conserved feature of some subatomic particles that governs their electromagnetic interaction. An electromagnetic field exerts a force on matter as a result of the physical attribute of charge.

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assume the pacific ocean has a surface area of 1.5 x 108 km2 and an average depth of 3700 m. calculate the volume of water in the ocean in liters:

Answers

I know they don’t sleep on us hahahaha and more correct answer it’s 1-63

Calculate the force of gravity on a 55 kg person on the surface of the earth.

Answers

Answer:

539 N

Explanation:

The force of gravity (also known as weight) on an object can be calculated using the formula:

F = m * g

where F is the force of gravity, m is the mass of the object, and g is the acceleration due to gravity.

For a 55 kg person on the surface of the earth, the acceleration due to gravity is approximately 9.8 m/s^2. Therefore, the force of gravity can be calculated as:

F = 55 kg * 9.8 m/s^2 = 539 N

So, the force of gravity on a 55 kg person on the surface of the earth is approximately 539 N.

How does sun energy play a role in moving water in the water cycle ?

Answers

The sun provides what almost everything on Earth needs to go—energy, or heat. Heat causes liquid and frozen water to evaporate into water vapor gas, which rises high in the sky to form clouds... clouds that move over the globe and drop rain and snow. This process is a large part of the water cycle.

if the mass of io were to somehow double, but its distance from jupiter were unchanged, what would happen to its period? explain.

Answers

The period of a celestial object in orbit around a planet is defined by the planet's mass and the celestial object's distance from the planet. If Io's mass doubles while its distance from Jupiter remains constant, its period will remain constant.

What is distance?

The quantity or size of displacement between two places is defined as distance. It is important to note that the distance between two points is not the same as the distance traveled between them. The total length of the path traveled between two points is referred to as the distance traveled.

Here,

This is because the period is related to the square root of the planet's mass divided by the celestial object's distance from the planet. Doubling Io's mass results in a corresponding increase in Jupiter's mass, but the distance between Io and Jupiter remains constant, resulting in no change in the period.

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there is evidence that elephants communicate via infrasound, generating rumbling vocalizations as low as 14 hz that can travel up to 10 km. the intensity level of these sounds can reach 100 db, measured a distance of 5.5 m from the source. determine the intensity level of the infrasound 10 km from the source, assuming the sound energy radiates uniformly in all directions.

Answers

The intensity level of the infrasound 10 km from the source is 62.41 dB.

Describe infrasound.

Low-status sound refers to sound waves having a frequency below the threshold of human audibility, also known as infrasound (generally 20 Hz). Hearing increasingly becomes less sensitive as frequency decreases, hence infrasound needs to have a powerful enough sound pressure for people to be able to hear it. Although many parts of the body may be able to detect infrasound vibrations at higher frequencies, the ear is the primary organ for hearing low-frequency sounds.

There are some uses for the term "infrasonics," which examines sound waves below 20 Hz and up to 0.1 Hz (and rarely to 0.001 Hz). Monitoring earthquakes and volcanoes, as well as mapping underground rock and petroleum deposits, are all done in this frequency range.

The intensity level of a sound decreases with the square of the distance from the source. So, the intensity of the infrasound 10 km from the source will be:

100 dB - 20 log (10 km / 5.5 m)

= 100 dB - 20 log (1818.1818)

= 100 dB - 37.59 dB

= 62.41 dB

So, the intensity level of the infrasound 10 km from the source is 62.41 dB.

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codys motorboat took 3 hours to make a trip downstream with a 6mph current. the return trip against the same current took 5 hours. find the speed of the boat in still water.

Answers

A boat can move at 12.5 km/h on calm water and 2.5 km/h in a stream, respectively.

How quickly does still water move?

Motionless water is defined as water that is still, not flowing, and has no current, such as in ponds. Therefore, a boat's relative speed on calm water is equal to 12 (a + b) km/hr. The stream is moving at a pace of 1/2 (a - b) km/hr.

codys motorboat took = 3 hour

current trip downstream = 6mph

the return trip against the same current = 5 hour

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According to the question, the speed of the boat in still water is 6 mph.

What is speed?

Speed is a measure of how quickly an object or person moves or travels. It is typically measured in units of distance per unit of time, such as meters per second, miles per hour, or kilometers per hour. Speed can also be expressed as the time it takes to cover a given distance, such as the time it takes to travel one mile or one kilometer.

The speed of the boat in still water can be calculated using the formula V = (D1 + D2) / (T1 + T2), where V is the speed of the boat in still water, D1 is the distance traveled downstream, D2 is the distance traveled upstream, T1 is the time it took to travel downstream, and T2 is the time it took to travel upstream.

In this case, D1 = 6 mph × 3 hours = 18 miles, D2 = 6 mph × 5 hours = 30 miles, T1 = 3 hours, and T2 = 5 hours.

Plugging the values into the formula, we get V = (18 + 30) / (3 + 5) = 48 / 8 = 6 mph.

Therefore, the speed of the boat in still water is 6 mph.

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someone standing at the edge of a cliff throws one ball straight up and another ball straight down at the same initial speed. neglecting air resistance, which ball has the greatest final velocity upon reaching the ground? select all that apply 1. the ball with initial upward velocity 2. they will both hit with the same velocity 3. unable to determine 4. the ball with initial downward velocity

Answers

Answer:

2. they will both hit with the same velocity

Explanation:

The ball which is thrown vertically upwards with a initial velocity V[tex]_{i}[/tex]will have the same velocity as the one thrown downwards with a velocity of V[tex]_{i}[/tex] when it reaches back to the edge of the cliff as no air resistance it acting on it. So the two balls have the same downward velocity at the edge of the cliff. Hence, they hit the ground with the same final velocity.

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