a bystander hears a siren vary in frequency from 564 hz to 376 hz as a fire truck approaches, passes by, and moves away on a straight street. what is the speed of the truck>

Answers

Answer 1

The vehicle travels at a speed of Vs = 68.6 m/s.

Velocity is the pace and direction of an object's movement, whereas speed is the time rate at which an object is travelling along a path. In other words, velocity is a vector, whereas speed is a scalar value.

Calculation:

Varying frequency of the siren = 564 Hz to 376 Hz

speed of sound = 343 m/s

speed of truck calculation

using equation of Doppler's

When the truck is approaching

Fs = F₀(v - vs)/v......(i)

Doppler's equation when truck is moving away

Fs = F₁(v + vs)/v ......(ii)

equating both the equation

Fs = F₀(v - vs)/v = Fs = F₁(v + vs)/v

on simplifying the above equation we get

Vs = v(F₀ - F₁)/F₀ + F₁)

F₀ = 564Hz

F₁ = 376 Hz

now,

Vs = 343 ₓ (564 - 376)/(564 + 376)

Vs = 68.6 m/s

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How much of the ocean has been explored with sonar?

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Currently, contemporary sonar technology has only been used to map fewer than 10% of the world's oceans. Only around 35% of the ocean and coastal waterways in the United States have been mapped using contemporary techniques.

Why don't we investigate the ocean's bottom?

It is challenging to attempt to travel to the ocean's depths. Between 4,000 and 6,000 metres below sea level is where the majority of the ocean bottom is located. The abyssal zone is what it is termed. The visibility is really poor because the sunlight doesn't penetrate very far down. Ocean trenches are a few smaller, deeper regions that exist beneath the ocean floor. Seamounts, volcanic islands, mid-oceanic ridges and rises, and seamounts are features that rise up from the ocean floor.

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If you accept the cosmological principle, how can earth be located at the center of the observable universe?

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The Philosophize Naturalis Principia Mathematica by Isaac Newton (1687) is the first work to explicitly state the cosmological principle.

Newton envisioned the Earth as a sphere in orbital motion around the Sun within an empty space that extended equally in all directions to impossibly enormous distances, in contrast to preceding classical or mediaeval cosmologies that saw the Earth as resting at the center of the universe.

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What are the example of radiogenic?

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Answer:

Radon and helium both of which form during the decay of heavier elements in bedrock.

you fire a bullet from a gun that is 0.981 meters above ground aimed perfectly parallel to the ground. it has an initial velocity of 981 m/s. how long will it take the bullet to reach the ground?

Answers

The time taken for the bullet to reach the ground is  0.447 s

What is free fall?

Free fall is a concept of motion where an object is falling under the force of gravity and is only subjected to the force of gravity. It is experienced by objects that are not subject to any other type of force such as air resistance or drag. Examples of objects in free fall include an object dropped from a certain height, a skydiver in a belly-to-earth position, a spacecraft in orbit, or an object thrown upwards and then falling back down. A free fall can be thought of as a state of weightlessness, since the object is not subject to any other force, and is accelerating at a rate of 9.8 m/s2 (or 32 ft/s2). This acceleration is due to gravity and is known as the acceleration due to gravity.

Height from which the bullet id fired, h  = 0.981 m

initial velocity of the bullet, u₁ = 981 m/s

Since it is fired parallel to the ground , the initial velocity u₁ does not have a vertical component

So it will be a free fall

Therefore the time taken to reach ground , t =√(2h/g)

t = √(2 * 0.981 / 9.81)
 = √(1/5)
 = √0.2
t  =  0.447 s
Therefore the time taken for the  bullet to reach the ground is  0.447 s

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What is the formula of frequency of a string?

Answers

The frequency of vibration of a string is given by f=2LnmT, where T is tension in the string, L is the length, n is the number of harmonics.

What is a frequencyy?

Frequence is the number of circumstances of a repeating event per unit of time.It's also occasionally appertained to as temporal frequence for clarity and is different from angular frequence.Frequence measured in hertz( Hz), which is equal to one event per second. Period is the time interval between events, so period is the antipode of frequence.For cyclic marvels similar as oscillations, swells, or for exemplifications of simple harmonious stir, the term frequence is defined as the number of cycles or climate per unit time.The conventional symbol for frequence is f; the Greek letter ν( nu) is also used.The period T is the time needed to complete one cycle of oscillation or gyration.

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how to run and connect a wire from a receptacle in one room to a switch and receptacle in another room

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To run a wire from a receptacle in one room to a switch and receptacle in another room, you will need to follow these steps:

Turn off the power to the circuit that you will be working on at the main electrical panel.Use a voltage tester to confirm that the power is off.Locate the receptacle in the first room and remove the cover plate.Identify the hot, neutral, and ground wires in the receptacle box. The hot wire is typically black or red, the neutral wire is white, and the ground wire is green or bare copper.Measure the distance from the receptacle to the switch and receptacle in the second room, and add a few feet to allow for any necessary bends or turns.Cut a length of wire that is long enough to reach from the receptacle to the switch and receptacle in the second room.Strip the insulation from the ends of the wire.Connect one end of the wire to the receptacle in the first room by attaching the hot wire to the brass terminal, the neutral wire to the silver terminal, and the ground wire to the green or bare copper terminal.Run the wire through the wall or ceiling to the switch and receptacle in the second room. You may need to use wire staples to secure the wire to the framing members.Locate the switch and receptacle in the second room and remove the cover plates.Identify the hot, neutral, and ground wires in the switch and receptacle boxes.Connect the other end of the wire to the switch and receptacle in the second room by attaching the hot wire to the brass terminal, the neutral wire to the silver terminal, and the ground wire to the green or bare copper terminal.Replace the cover plates on the switch and receptacle in the second room.Turn the power back on at the main electrical panel and test the switch and receptacle to confirm that they are working properly.

That electrical work can be dangerous and should only be performed by a qualified electrician. If you are not comfortable or familiar with electrical work, it is recommended that you hire a professional to complete the job for you.

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What are 3 common uses for non-renewable energy?

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Answer:- electricity, heating, transportation and manufacturing.

           

       

Explanation:First lets us know what non-renewable energy is.

Non-renewable energy is energy derived from finite resources that are not replaced quickly enough to keep up with the speed of consumption. For perspective, non-renewable energy sources will not be replenished in our lifetime, or, more accurately, many human lifetimes. Most non-renewable energy sources are fossil fuels such as petroleum and crude oil, coal, and natural gas¬, but nuclear fuel, mainly used to produce electricity, heating, transportation and manufacturing, is also generally classified as nonrenewable.

What is force of friction short answer?

Answers

Frictional force that is produced when two surfaces attempt to move in one direction or in opposite directions is known as frictional force. the primary objective of frictional force.

Where is the force of resistance?

Lever. A rigid piece of material is put over what is known as a fulcrum to form a lever. On one ends of the lever, which is also known as the resisting force, is an object that must be lifted. To lift the frictional resistance, effort is applied at the opposite end of the level.

What creates the force of resistance?

Friction is resistance brought on by rubbing surfaces together, such as the stylus' tip and an object. Viscosity is a fluid's resistance to movement, such as water.

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16. Two aircraft P and Q are flying at the same speed, 300 m s¯¹. The direction along which P is flying is at right angles to the direction along which Q is flying. a) Find the magnitude of the velocity of the aircraft P relative to aircraft Q. b) Find the direction of the velocity?

Answers

a) The  magnitude of the velocity of the aircraft P relative to aircraft Q is 424 m/s

b) The  direction of the velocity is 45  degrees.

What is the relative velocity?

We know that the relative velocity has to do with the velocity of the object that is the same in magnitude and direction as the velocities of two or more objects together.

As such we have the velocities of the objects as;

P = 300 m s¯¹

Q = 300 m s¯¹

Since they are at right angles, the resultant is;

R = √(300)^2 + (300)^2

R = 424 m/s

b) The direction of the velocity is obtained as;

tan-1 = (300/300)

= 45 degrees

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What forces is used when sliding down a slide?

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Gravity are being pulled down the slide by gravity, but there is also another physics principle at work: friction or resistance. Two factors contribute to friction's force.

What forces are at work when someone slides down a slide?

Answer and justification Gravitational and frictional forces may have an impact on a child's motion as they descend a slide.

What forces are at work when an object slides?

Contact is a force acting such as the normal force that prevents two things from sliding past one another. Friction moves an object's flat surface in a direction opposite to the normal force, which moves an object perpendicular to its flat surface.

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When wood burns, a small amount of ashes is produced and gas is given off. How does this reaction demonstrate the law of conservation of mass?.

Answers

The law of conservation of mass states that matter can neither be created nor destroyed. When wood burns, the mass of the wood is converted into a small amount of ashes and gas. The total mass of the ashes and gas is equal to the mass of the wood before it was burned, demonstrating that the law of conservation of mass holds true.

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What is the formula used to calculate energy using frequency?

Answers

E = hv is the energy equation. In the formula, E stands for energy, h for Planck's constant (6.626 x 10 -34 J s), and v for frequency. Since frequency rises as energy falls, frequency and energy are related directly in the energy equation. Because h is a constant, this is conceivable.

What is the energy and frequency relation?

Each quantum's energy content is directly influenced by the radiation's frequency. Since the relationship between frequency and wavelength is inverse, the amount of energy carried is also inversely proportional to wavelength.

The link between the energy E and frequency v of a photon is expressed by the equation E=hv, where h is Planck's constant.

In essence, energy is directly proportional to radiation frequency but inversely proportional to wavelength. As a result, energy increases when frequency or wavelength decreases and decreases when frequency or wavelength increases.

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Natural rubidium has the average mass 85. 4678 amu and is composed of isotopes rb-85 (mass = 84. 9117 amu) and rb-87. The ratio of atoms rb-85/rb-87 in natural rubidium is 2. 591. Calculate the mass of rb-87.

Answers

The correct response is 86.913 amu for Rb-87's mass.

Two isotopes of the rubidium (Rb) element exist: Rb-85, which has an atomic mass of 84.9117 amu, and Rb-87, which has an atomic mass of 86.9092 amu. Rubidium has an average atomic weight of 85.4678.

Both isotopes have a ratio of 2.591 to 1. Consequently, there is one Rb-87 atom for every 2.591 Rb-85 atoms.

Rb-85 abundance is 2.591/3.591 = 0.722% for 100% naturally occurring Rb, while Rb-87 abundance is 1 - 0.722 = 0.278.

84.9117 × 0.722 + X × 0.278 = 85.4678

X = 24.1618 / 0.278 X = 86.913 amu 61.306 + X 0.278 = 85.4678 X 0.278 = 85.4678 - 61.306 X 0.278 =86.913

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Another piece of copper has a volume of 7 cm3 what is its mass?

Answers

The mass of a piece of copper that has volume of 7[tex]cm^{3}[/tex] is 62.58g.

A piece of copper has a volume of 7 [tex]cm^{3}[/tex], find what is its mass?

The element copper (Cu) is a reddish, very ductile metal belonging to Periodic Group 11 that has an exceptional ability to conduct heat and electricity. In nature, copper can be found in its free metallic state.

Given,

Volume = 7 cm^3

we know that,

The density of copper is 8.960g/cm^3 in room temperature.

Density = mass / volume

Mass = Density x Volume

Mass = 8.960 x 7

Mass = 62.72 g

Mass of copper has a volume of 7 cm^3 is 62.72g.

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How is cutoff value calculated?

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The term "cutoff" in theoretical physics refers to an artificial maximum or minimum value of energy, momentum, or length that is used to exclude objects having values that are more or smaller than these physical quantities from calculations.

How often does a cutoff occur?

A cutoff frequency, also known as a corner frequency or break frequency, is the frequency response threshold at which energy begins to be attenuated (reflected or diminished) rather than pass through a system.

The frequency above or below which the power output of a circuit, such as a line, amplifier, or electronic filter (such as a high pass filter), has decreased to a specific percentage of the power in the passband is known as the cutoff frequency or corner frequency in electronics.

The passband power, commonly known as the 3 dB point since a decline of 3 dB roughly equates to half power, is the proportion that occurs most frequently. The voltage ratio is falling in this case.

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What is n defined as?

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The Standard International (SI) unit of force is the newton. The letter N is frequently used to shorten the phrase "newton" in physics and engineering documents.

How is N defined mathematically?

N, the collection of natural numbers, can be defined in one of two ways: N = {0, 1, 2...} N = (1, 2,...} Unknown or undefined natural numbers are represented by lowercase letters in mathematical equations.

What does algebra's N stand for?

N in an equation stands for a particular number, not just any integer. N + 9 = 12, which denotes that N is a number that, when added to 9, must result in the number 12.

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in this experiment, what would be the effect if the point on the arm hanging the bob and the pointer are not on the same vertical line in the experiment?

Answers

If  the point on the arm hanging the bob and the pointer are not on the same vertical line then the torque applied by the bob will not be zero.

When the point of arm and the pointer are in same vertical line than the angle between the point of arm and pointer will not be zero. We know that  Torque is defined as the cross product of distance of  point where force is applied  and force applied on the body.

In other words, Torque=distance × Force

or Torque=rFsinθ(since cross product involves sinθ) where r is the distance and F is the applied force.

Since angle is not zero, therefore angle(θ) will be greater than zero,so sinθ have some value which is greater than zero,and it is enough to rotate the system from its equilibrium point.Due to torque,system will become unstable.

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(Complete question) is:

If a metal bob is rotated in a uniform circular motion in this experiement, what would be the effect if the point on the arm hanging the bob and the pointer are not on the same vertical line?

A group of scientists is studying the effect of a particular herbicide on the activity of plant cells. they want to observe the impact of the chemicals on the molecular structures inside the cell. which microscope would be the best tool for this research?

Answers

To observe the impact of the herbicide on the molecular structures inside plant cells, a microscope with high resolution and the ability to visualize small structures would be the best tool for this research. One option that could be suitable for this purpose is a transmission electron microscope (TEM).

A transmission electron microscope uses a beam of electrons to produce an image of the sample being studied. It has a higher resolution than a light microscope, and it is able to visualize structures as small as 0.2 nanometers in size. This makes it an ideal tool for studying the molecular structures inside cells, including proteins, DNA, and other cellular components.

Another option that could be used for this research is a scanning electron microscope (SEM). A scanning electron microscope uses a beam of electrons to produce a detailed, three-dimensional image of the surface of a sample. It has a lower resolution than a TEM, but it is able to visualize larger structures and features on the surface of cells.

Both TEMs and SEMs are powerful tools for studying the structures and functions of cells and molecular processes, and they are commonly used in scientific research and other applications.

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Suppoe you are in a dark room. Can you ee object in the room? Can you ee object outide the room?

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I may or may not  see object in the dark room or outside the room because it all depends on the presence of light.

We realize that we can see an item when light reflected from its surface enter our eyes.There is no light in obscurity room .As there will be no light in obscurity room there will be no reflection. So we can not see any item in the room, In the event that there is light external the room, we will actually want to see object outside the room. This is on the grounds that the light reflected from object make picture in our eyes. So on the off chance that there is no light we will not ready to see, assuming there is light we will ready to see.

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Identify the highlighted vessel. left coronary artery Oright coronary artery great cardiac vein anterior interventricular artery

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The highlighted vessel  given below in the image attached:

left coronary artery right coronary artery great cardiac vein anterior interventricular artery

What is the function of the coronary arteries and cardiac veins?

The movement of blood through the blood arteries that nourish the heart muscle is known as coronary circulation (myocardium). The heart muscle receives oxygenated blood from the coronary arteries. After the blood has been deoxygenated, cardiac veins remove it.

The heart muscle receives blood from coronary arteries. The heart muscle need oxygen-rich blood in order to operate, just like all other bodily components do. Blood that lacks oxygen must also be transported away. Outside of the heart, the coronary arteries encircle the organ.

Therefore, Your heart receives blood through the coronary arteries and their branches. In order to pump blood through your heart and the rest of your body, your heart muscles require the oxygen and nutrients found in blood.

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What does N solve mean?

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The function NSolve("Equation", "Variable = starting value") generates a list of numerical solutions for the given equation for the specified unknown variable and its starting value.

What accomplishes N solve?

Searches for solutions over the domain of real numbers in an effort to obtain numerical approximations to the solutions of the system of equations or inequalities for the variables vars.

Is there an infinite number of solutions?

There are some equations that have infinitely many or no solutions. When simplified, equations without solutions won't have the same value. The same constant will be used on both sides to simplify equations having infinite solutions. An inconsistent system is a set of equations that cannot be solved.

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Researchers are completely certain that which of the following facial expressions is recognised by people of all cultures?
A. Interest
B. Guilt
C. Contempt
D. Surprise

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Surprise is the facial expressions is recognized by people of all cultures.

What is meant by facial expression?A facial expression is made up of one or more movements or facial muscle postures. One disputed theory claims that these motions reveal an individual's emotional condition to onlookers. Nonverbal communication can also take the shape of facial expressions.In addition to humans, most other mammals and several other animal species also use them as a key method of social communication.Humans may express themselves on their faces willingly or involuntarily, and the neurological systems that regulate the expression vary depending on the situation. Voluntary facial expressions frequently have a cortical pathway in the brain and are socially conditioned. On the other hand, it is thought that involuntary facial expressions are intrinsic and go through the subcortical region of the brain.

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For what value of lambda are the vectors perpendicular?

Answers

Consequently, if =3, vectors are perpendicular to one another.

Describe lambda.

Greek letter lambda is part of the alphabet.

Lambda is mostly used as a variable in physics to indicate or denote the wavelength of any wave.

Lambda is the term used to describe the radioactive decay constant in nuclear physics and radioactivity.

Lambda is also used to refer to the linear charge density of a uniform line of electric charge in electric fields.

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In a gm two-mode hybrid electric vehicle, when can the vehicle be powered by electric power alone?

Answers

In gm two-mode hybrid electric vehicle, the vehicle can be powered by electric power alone in the first mode. The first mode has a function like a regular full hybrid.

A two-mode vehicle is a hybrid model that functions in two ways. The first mode is fully hybrid. The second mode brings a difference. The second mode performs various functions by adjusting various amounts of engine and motor functions.

In the first mode, with a light load and at low speed, the engine can be powered alone on electric power. In this mode, the engine can be shut down, but all accessories can continue operating on electric power. The hybrid system can restart the engine at any time when required.

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Can solar and wind work together?

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Yes! As long as both receive enough sun or wind to create electricity, you can use both solar panels and wind turbines to charge your battery bank by running through a hybrid charge controller.

Can solar and wind energy be combined?

Many renewable energy specialists believe that a tiny "hybrid" electric system that combines home wind and home solar (photovoltaic or PV) technology offers significant benefits over either one alone.

Which two issues do wind and solar energy have?

Wind and sunlight are inherently unreliable and energy inefficient. As a result, installing a lot of solar and wind energy equipment on the grid raises the price of electricity production, locks in the price of fossil fuels, and has a negative impact on the environment.

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What is the value of 1 to the power n?

Answers

It's kind of in the definition of what 1 is to say that 1 to the power of anything is 1. You can use complicated powers, but the outcome will always be 1.

How do you calculate n's power?

The simplest method for determining a number's nth power is to multiply it exactly n times. In this situation, we might simply calculate pow(2,-3) = 1/(23), which is the inverse of its positive power.

How is 1 n solved?

Divide both sides by the left-hand integer to create a ratio with the notation 1: n. Divide both sides by the right-hand integer to represent the ratio as n: 1. to check if you're right.

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What is the relationship between the mass of a student and the amount of work they do?

Answers

The relationship between the mass of a student and the amount of work they do is that the greater the mass, the more work.

What is Work?

This is referred to as any type of activity which requires the use of physical or mental effort by an individual or thing.

In a scenario where an individual has a greater mass then there will be more work done and vice versa as a result of the formula of work being Force × distance where the Force = mass × acceleration which therefore  explains the relationship between the mass of a student and the amount of work they do.

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1. A neutron in a reactor makes an elastic headon collision with the nucleus of an atom initially at rest.
Assume: The mass of the atomic nucleus is
about 11.4 the mass of the neutron.
What fraction of the neutron’s kinetic energy is transferred to the atomic nucleus?

2. If the initial kinetic energy of the neutron is
5.43 × 10−13 J, find its final kinetic energy.
Answer in units of J.

Answers

(a) The fraction of neutron's kinetic energy transferred to the atomic nucleus is 0.088.

(b) The final kinetic energy of the neutron is  4.95 x 10⁻¹³ J.

What is the final velocity of the atom?

The final velocity of the atom is calculated by applying the principle of conservation of linear momentum as follows;

initial momentum of the neutron = final momentum of the atom

m₁u₁  = m₂u₂

where;

m₁ is the mass of the neutronu₁ is the initial velocity of the neutronm₂ is the mass of the atomic nucleusu₂ is the final velocity of the atomic nucleus

The mass of the atomic nucleus = 11.4 m₁

u₂  = m₁u₁ / m₂

u₂  = m₁u₁ / (11.4 m₁)

u₂  = 0.088u₁

The initial kinetic energy of the neutron is calculated as;

K.Ei = ¹/₂m₁u₁²

The final kinetic energy of the atomic nucleus is calculated as;

K.Ef =  ¹/₂m₂u₂²

K.Ef =  ¹/₂(11.4 m₁)(0.088u₁)²

K.Ef = 0.088 (¹/₂m₁u₁²)

K.Ef = 0.088 (K.Ei)

The fraction of neutron's kinetic energy transferred to the atomic nucleus is calculated as;

= 0.088 (K.Ei) / K.Ei

= 0.088

= 8.8 %

The final kinetic energy of the neutron is calculated as follows;

K.E.f (neutron) = (1 - 0.088) x (5.43 x 10⁻¹³ J)

K.E.f (neutron) = 4.95 x 10⁻¹³ J

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How many diseases are genetic?

Answers

Rare diseases can also be brought on by genetic problems. Less than 200,000 Americans are afflicted by this group of illnesses. Experts estimate that there could be as many as 7,000 of these illnesses.

What proportion of diseases have a genetic basis?

One of the oldest arguments in the scientific world is the nature vs. nurture controversy.

How many genetic disorders affect people?

Single gene illnesses are brought on by flaws in just one specific gene. Over 10,000 human diseases are brought on by a single gene mutation, often known as a change. Nearly all ailments and diseases have a hereditary component, researchers are discovering. Variations, or mutations as they are commonly known, in a single gene are the root cause of some diseases, including sickle cell disease and cystic fibrosis.

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what is the net electric potential, in volts, at the point where the 7 nc charge is placed in the drawing below?

Answers

The electric potential of a point charge is V=kQ/r. A scalar is an electric potential, while a vector is an electric field.

The voltage due to a combination of point charges is obtained by adding voltages as integers, whereas the overall electric field is obtained by adding individual fields as vectors. When electrostatic forces are applied, the electric potential at a place in an electric field is the amount of work done transferring a unit positive charge from infinity to that point along any path. Because the work done on the item is equal to mgh, the energy gained by the object Equals mgh, which in this case is the potential energy E, according to the rule of conservation of energy.

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Two sentences from the daily weather report in Seattle are given below. It talks about snowfall levels over a 10-hour period during a snowstorm.For the first 5 hours, 2 inches of snow fell every hour. There was no additional snow accumulation for the next 5 hours.Which graph models the piecewise function for the given situation? Write the logarithmic equation log8 64 = 2 in exponential form Statements and Reasons Question 76 2 pts Natural levees are created during O low-flow conditions O none of the above -- all levees are man-made O floods O normal-flow conditions Question 83 2 pts Temperatures decrease with increasing altitude in what two atmospheric layers? O troposphere and mesosphere O troposphere and stratosphere O stratosphere and thermosphere O stratosphere and mesosphere Question 84 2 pts Which of the following is not exogenic in nature? O erosion O batholith formationO weathering O mass wasting name the image point when the object point (4,4) is mapped by the following translations. (x,y)-->(x-4,y+2) What were Wilson's reasons for asking for war? Gantner Company is considering a capital investment of $300,000 in additional productive facilities. The new machinery is expected to have a useful life of 5 years with no salvage value. Depreciation is computed by the straight-line method. During the life of the investment, annual net income and cash inflows are expected to be $27,000 and $87,000, respectively. Gantner Ios a 12% cost of capital rate, which is the minimum acceptable rate of return on the investment, TABLE4 Present Value of an Annuity of 1 (n) Payments 1 2 3 4 5 4% .96154 1.88609 2.77509 3.62990 4.45182 5.24214 6.00205 6.73274 7.43533 8.11090 8.76048 9.38507 5% .95238 1.85941 2.72325 3.54595 4.32948 5.07569 5.78637 6.46321 7.10782 7.72173 8.30641 8.86325 6% 94340 1.83339 2.67301 3.46511 4.21236 4.91732 5.58238 6.20979 6.80169 7.36009 7.88687 8.38384 7% 8% 99 10% 11% 12% 15% 0.93458 .92593 .91743 .90909 .90090 .89286 .86957 1.80802 1.78326 1.75911 1.73554 1.71252 1.69005 1.62571 2.62432 2.57710 2.53130 2.48685 2.44371 2.40183 2.28323 3.38721 3.31213 3.23972 3.16986 3.10245 3.03735 2.85498 4.10020 3.99271 3.88965 3.79079 3.69590 3.60478 3.35216 4.76654 4.62288 4.48592 4.35526 4.23054 4.11141 3.78448 5.38929 5.20637 5.03295 4.86842 4.71220 4.56376 4.16042 5.97130 5.74664 5.534825.33493 5.146124.96764 4.48732 6.51523 6.24689 5.99525 5.75902 5.53705 5.32825 4.77158 7.02358 6.71008 6.41766 6.14457 5.88923 5.650225.01877 7.49867 7.13896 6.80519 6.49506 6.206525.93770 5.23371 7.94269 7.53608 7.16073 6.81369 6.49236 6.19437 5.42062 GAR 6 7 8 9 10 11 12 acer Compute the annual rate of return. Annual rate of return % Compute the cash payback period on the proposed capital expenditure. (Round answer to 2 decimal places, eg. 15.25. Cash payback period years Using the discounted cash flow technique, compute the net present value. (Use the above table. (Round factor value decimal places, eg. 1.25124 and final answer to O decimal places, eg. 5,275.) Net present value O acer Using the discounted cash flow technique, compute the net present value. (Use the above table.) (Round factor von decimal places, eg. 1.25124 and final answer to 0 decimal places, eg. 5,275.) Net present value $ Save for Later Attempts: 0 of 1 used acer Gantner Company is considering a capital investment of $300,000 in additional productive facilities. The new machinery is expected to have a useful life of 5 years with no salvage value. Depreciation is computed by the straight-line method. During the life of the investment, annual net income and cash inflows are expected to be $27,000 and $87,000, respectively. Gantner has a 12% cost of capital rate, which is the minimum acceptable rate of return on the investment. TABLE4 Present Value of an Annuity of 1 Payments 1 2 3 4 5 596 .95238 1.85941 2.72325 3.54595 4.32948 5.07569 5.78637 6.46321 7.10782 7.72173 8.30641 8.86325 9,39357 4% .96154 1.88609 2.77509 3.62990 4.45182 5.24214 6.00205 6.73274 7.43533 8.11090 8.76048 9.38507 98565 6% 94340 1.83339 2.67301 3.46511 4.21236 4.91732 5.58238 6.20979 6.80169 7.36009 7.88687 8.38384 8.85268 7% 8% 9% 10% 11% 12 15% 0.93458 .92593 .91743 .90909 90090 .89286 .86957 1.80802 1.78326 1.75911 1.73554 1.71252 1.69005 1.62571 2.62432 2.57710 2.53130 2.48685 2.44371 2.40183 2.28323 3.38721 3.31213 3.23972 3.16986 3.10245 3.03735 2.85498 4.10020 3.99271 3.88965 3.79079 3.69590 3.60478 335216 4.76654 4.62288 4.48592 4.35526 4.23054 4.11141 3.78448 5.38929 5.20637 5.03295 4.86842 4.71220 4.56376 4.16042 5.97130 5.74664 5.53482 5.33493 5.146124.96764 4.48732 6.51523 6.24689 5.99525 5.759025.53705 5.32825 4.77158 7.02358 6.71008 6.41766 6.14457 5.88923 5.650225.01877 7.49867 7.13896 6.80519 6.49506 6,20652 5.93770 5.23371 7.94269 7.53608 7.16073 6.81369 6.49236 6.19437 5.42062 8.35765 7.00378748690710336 6.74987642355 558315 6 7 8 9 10 11 12 13 O acer Given string userText on one line and character fourthChar on a second line, change the fourth character of userText to fourthChar.Ex: If the input is:cheetahvthen the output is:chevtahNote: Assume the length of string userText is greater than or equal to 4. The diagram shows the lengths of corresponding sides of similar triangles A'B'C' and ABC. Which expression gives the perimeter of A'B'C'? Find the y-intercept from the line of best fit y = 6 + 2x. What income is not taxable? What is Mark Twain's message in The Adventures of Huckleberry Finn? The immune system can function through a generalized defense against pathogens called _____. What is the ratio of homozygous yellow with wrinkled seeds and homozygous round with green seeds in f2 of classical dihybrid cross is? How do you know if your business is carbon neutral? Based on the author's word choices in paragraph 1, which word best describes the authors tone?(A) critical(B) optimistic(C) annoyed(D) neutralRead the passage. The Great Pacific Garbage PatchTheres been talk that there is a giant pile of trash floating out in the middle of the Pacific Ocean. According to some reports, the Great Pacific Garbage Patch is supposedly twice the size of the state of Texas. This has led many people to envision a humongous pile, both in height and breadth. However, this is a gross exaggeration. True, there is trash floating around in the Pacific, but its quite different from what has been portrayed in the media. Nonetheless, there is still cause for concern.In an area of the northern Pacific Ocean where the northern jet stream and the southern trade winds create a high-pressure zone, the winds circulate in opposite directions. These winds create an area of 7.7 million square miles of circling water called the North Pacific Gyre, which covers most of the northern Pacific Ocean. In the middle of the gyre are pieces of plastic garbage. This garbage isnt a huge pile of floating pieces of trash, peoples tossed-away coolers, broken pieces of furniture, or boat seat cushions. Its more insidious than that. Caleb is a fashion designer. He designed a jacket with 2 types of fabric. Now Caleb has to make samples. He buys 68 yards of nylon and 94 yards of wool. The nylon is $3 a yard, and a yard of wool is 3 times more expensive. How much did Caleb spend? In the readings, a claim is made that ice cooling is a good way to cool large buildings. Create an argument to support this claim. Give reasons and evidence from the texts. Also tell what you may already know about air conditioning and temperature control. recently in riverside, building contractors lobbied the city council to pass a law requiring all people working on residential dwellings be licensed by the city. why would the contractors lobby for this requirement? Draw a diagram of the nitrogen cycle with labels describing the metabolic processes. Give examples of bacteria that carry out each of these metablic processes.