how do digital signals compare to analog signals in terms of recording?

Answers

Answer 1

In terms of recording data, digital signals store information as binary ones and zeroes while analog signals store information as continuous waves or in the form of voltage differences.

Analog signals are continuous waves that physically alter the signal to represent audio or video data. Analog signals are stored on the recording media as magnetic or optical fluctuations using analog recording technologies like cassettes and VHS cassettes.

On the other hand, Digital signals are binary signals, which are a series of 1s and 0s that represent particular values of sound or light, and are used to encode audio and video information. Digital signals are stored on the recording media as a series of 1s and 0s by digital recording technologies like CDs and DVDs.

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Related Questions

a 90 kg firefighter needs to climb the stairs of a 20-m-tall building while carrying a 40 kg backpack filled with gear. how much power does the firefighter need to reach the top in 55 s?

Answers

Answer:

[tex]\huge\boxed{\sf Power = 1274\ W}[/tex]

Explanation:

Given data:

Total mass = m = 90 kg + 40 kg = 130 kg

Height = h = 20 m

Acceleration due to gravity = g = 9.8 m/s²

Time = t = 55 s

Required:

Power = P = ?

Formula:

[tex]\displaystyle P=\frac{Work}{Time}[/tex]

Solution:

Here, the work is done in the form of potential energy.

So,

Work = P.E

As we know,

P.E = mgh

P.E = (130)(9.8)(20)

P.E = 25480 J

So,

Power = P.E / time

Power = 25480 / 20

Power = 1274 W

[tex]\rule[225]{225}{2}[/tex]

a box sits on a frictionless ramp of 25 degrees. find the acceleration of the box as it slides down the hill.

Answers

The acceleration of the box as it slides down the ramp is approximately 4.3 m/s^2.

The acceleration of the box can be calculated using the formula:

a = g * sin(θ)

where:

   a is the acceleration of the box    g is the acceleration due to gravity (9.8 m/s^2 on the surface of the Earth)    θ is the angle of the ramp (25 degrees)

Converting 25 degrees to radians:

θ = 25° * (π / 180°) = 0.43 radians

Now we can plug in the values:

a = 9.8 m/s^2 * sin(0.43 rad) ≈ 4.3 m/s^2

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What will be the acceleration of the 12-kg object if it is acted upon by a force of 60n?.

Answers

The acceleration of the object is 5 m/s². The result is obtained by using the Newton's second law.

What is Newton's second law?

The Newton's second law states that "The acceleration is directly proportional to the net force acting on an object and inversely proportional to the object's mass." It can be expressed as

a = ∑F/m

Where

∑F = net forcea = accelerationm = object's mass

An object with a mass of 12 kg is acted upon by a force of 60 N.

Find the acceleration of the object!

Using the Newton's second law formula, we get acceleration.

a = ∑F/m

a = 60/12

a = 5 m/s²

Hence, the acceleration of the object is 5 m/s².

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the faster your vehicle moves the less kinetic energy T/F

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The statement is false, the faster the vehicle moves the less the kinetic energy. As fast the thing in motion the highest is kinetic energy.

An object's mass and velocity both affect its kinetic energy. According to the formula for kinetic energy,

KE = 0.5 mv^2, where m is the mass of the object and v is its velocity. As the velocity of an object increases, so does its kinetic energy. This means that a faster-moving vehicle has more kinetic energy than a slower-moving vehicle with the same mass. Kinetic energy has a number of important applications in physics and engineering. For example, in mechanics, it is used to calculate the amount of work that can be done by a moving object and to analyze the behavior of objects in motion. In thermodynamics, kinetic energy is used to describe the thermal energy of particles in a substance, such as the random motion of gas molecules.

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meteorites that strike the earth may be composed of

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A meteorites that strike the earth may be composed of chondrites and achondrites.

A meteorite is a piece of solid debris from a space-born object, such as a comet, asteroid, or meteoroid, that makes it through the atmosphere and lands on the surface of a planet or moon and it is made up of chondrites and achondrites.

The object heats up and emits energy as it enters the atmosphere due to a number of causes, including friction, pressure, and chemical reactions with the atmospheric gases. Astronomers refer to the brightest examples as "bolides"; it then transforms into a meteor and creates a fireball, also known as a shooting star or falling star. The sizes of meteorites vary widely. A bolide is a meteorite big enough to crater, according to scientists.

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it takes 1 second for a sound wave to travel from a source to observer a. how long does it take the same sound wave to travel in the same medium to observer b, who is located twice as far from the source as observer a?

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It would take 2 seconds for the same sound wave to travel from the source to observer b who is located twice as far from the source as observer a.

The speed of sound in a medium is constant, meaning that the time it takes for a sound wave to travel a certain distance is proportional to the distance itself. Therefore, if observer b is located twice as far from the source as observer a, it will take twice as long for the sound wave to reach observer b as it would take to reach observer a.

This is because the distance that the sound wave has to travel is twice as great to reach observer b compared to observer a. To summarize, if the distance to the observer is doubled, the time it takes for the sound wave to reach the observer will also double.

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One function of the circuitry in an isolated input board is to protect the patient from electrical shock by limiting the current flow to ______ at the patient leads when 120Vrms is applied to the inputs.A- 60 uAB- 20 uAC- 100 uAD- 1 uA

Answers

One function of the circuitry in an isolated input board is to protect the patient from electrical shock by limiting the current flow to (60 uA) i.e. 60 microamperes at the patient leads when 120Vrms. Hence the correct option is (A).

In medical electrical equipment, it is important to limit the amount of current that flows through the patient in order to protect them from electrical shock. The isolated input board is a safety feature that helps to ensure this by limiting the current flow to a safe level, typically 60 microamperes (60 uA), when a high voltage (such as 120Vrms) is applied to the inputs. This helps to reduce the risk of electrical shock and improve patient safety. The amount of current given to patients by medical equipment can vary widely depending on the specific equipment and treatment being used. Some medical devices, such as electroconvulsive therapy (ECT) machines, deliver high currents (in the milliampere range) to the patient in order to induce a therapeutic electrical seizure. Other devices, such as pacemakers and defibrillators, deliver much smaller currents (in the microampere range) in order to regulate the heart's rhythm. In all cases, it is important to carefully control the amount of current delivered to the patient in order to minimize the risk of electrical shock and other adverse effects. The isolated input board and other safety features in medical electrical equipment help to ensure that the current delivered to the patient stays within safe limits.

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what would be grating onstant for grating with 300lines/nm

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The grating constant, also known as the line spacing or groove spacing, is a characteristic of a diffraction grating that describes the spacing between the lines or grooves on the grating.

If a grating has a line spacing of 300 lines per nanometer (300 lines/nm), the grating constant (d) can be calculated as follows:

[tex]d = 1 / (300 lines/nm) = 1 / 300 * 10^-9 m/line = 3.33 * 10^-8 m/line[/tex]

So, the grating constant for this grating is [tex]3.33 * 10^-8[/tex] m/line.

Diffraction gratings are optical devices used to diffract light into its component wavelengths. The spacing between the lines or grooves on the grating determines the extent to which the light is diffracted, and the grating constant describes this spacing. The grating constant is a key parameter that determines the resolution and efficiency of a diffraction grating, and is typically specified in units of meters per line or grooves per meter.

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What would be grating constant for grating with 300lines/nm?

are 60 miles apart on reciprocal courses. if cdn 884 is traveling at 360 mph and cmm 448 is traveling at 240 mph, how long will it take until closure occurs

Answers

Time until close occurs on reciprocal courses will be 30 minutes, and we can calculate this by first finding out relative speed.

To determine the time it will take until closure occurs between two aircraft traveling on reciprocal courses, you must first calculate their relative speed. This can be done by subtracting the speed of one aircraft from the other. In this case:

The relative speed would be:

360 mph - 240 mph = 120 mph.

Next, you can use this relative speed and the distance between the two aircraft to calculate the time until closure using the formula:

Time until closure = Distance between aircraft / Relative speed

So, for the two aircraft traveling 60 miles apart and with a relative speed of 120 mph, the time until closure would be 60 miles / 120 mph = 0.5 hours or 30 minutes.

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In processA 55J work done on the system an d85J of heat are added to the system. Find the change in the systems thermal energy

Answers

Change in thermal energy = Work done + Heat added

= 55 J + 85 J

= 140 J

So, the change in the thermal energy of the system is 140J.

What is the change in the thermal energy?

The change in the thermal energy refers to the difference in the thermal energy of a system before and after a process or a change occurs. Thermal energy is a measure of the total internal energy of a system due to its temperature, and it includes the kinetic energy of the particles and their potential energy due to their interactions.

The change in thermal energy can be positive or negative, depending on whether heat is added to or removed from the system. If heat is added to the system, the thermal energy increases, and if heat is removed from the system, the thermal energy decreases.

The change in thermal energy is a fundamental concept in thermodynamics and plays a key role in understanding the behavior of physical systems and the transfer of energy between them.

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which plot best represents the acceleration curve associated with the displacement and velocity curves shown above?

Answers

On this graph, a straight line with displacement a constant slope passes through the zero point (0, 0).

In physics, what is displacement?

The definition of displacement When an object moves in relation to a reference frame, for as when a passenger moves to the back of an airplane or a professor shifts to the left in relation to a whiteboard, the item's position changes. Displacement is the term for this positional alteration.

In plain English, what is displacement?

The definition of displacement is the modification of an object's position. It has a magnitude and a direction and is a vector quantity. It is shown as a arrow that travels from the initial location to the conclusion. An object might move from location A to position B, for instance.

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Of paper
Activity 1. 1. Spoon in and Spoon Out
In this experiment, you will be able to see how you look when you look at the
concave and convex sides of a spoon. Write your observations on a separate sheet
1. Stand in a well-lit room or outside. Hold the spoon by the handle just like
you would when you are eating but flip it over so that the back of the spoon
is facing you. Look at yourself in the curved end, what do you look like?
2. Now turn the spoon so that the back of the spoon is still facing you but the
curved part is pointing at the ceiling or sky. Have another look at yourself. ​

Answers

Basically, light waves hit different parts of the spoon at different angles, so they all bend a little differently. By the time they come back to you, they're all crooked, so you're looking upside down. It has a concave side.

A glossy spoon is like a mirror, only curved. Since the surface is perfectly smooth, it creates a mirror image, or specular reflection. However, since the spoon is curved, the direction of the reflected light depends on where it hits. This outwardly curved surface is called a convex surface. Basically, light waves hit different parts of the spoon at different angles, so they all bend a little differently. By the time they come back to you, they're all crooked, so you'll look upside down. It has a concave side.

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A passenger at the rear of a train traveling at 15 m/s relative to Earth throws a baseball with a speed of 15 m/s in the direction opposite the motion of the train. What is the velocity of the baseball relative to Earth as it leaves the thrower’s hand?

Answers

The trains move at a speed of 15 m/s in relation to the earth. The speed of the ball is -15 m/s in relation to the train. The ball's speed is therefore 15 - 15 = 0 in relation to the earth.

What is an easy way to define velocity?

A particle or item's movement with regard to the time is expressed vectorially as velocity. The meter per second (m/s), usually referred to as speed, is the accepted unit of velocity magnitude.

What is a good instance of velocity?

Simply said, velocity is the rate of motion of an object in a specific direction. Using an automobile driving north on a highway as an example, or a rocket after it has launched, as an example of speed.

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What is the sign on the charge of the yellow sphere? Positive or Negative

Answers

The sign on the charge of the yellow sphere is positive.

What is charge ?

Charge is a fundamental property of matter that describes the interaction between particles and forces. It is one of the four fundamental forces of nature, alongside gravity, the strong nuclear force, and the weak nuclear force. Charge is measured in coulombs (C), and is either positive or negative. Positive charges attract negative charges, and negative charges attract positive charges. The magnitude of the charge affects the strength of the attraction between the particles. Charge can be carried by electrons, protons, and ions, and is responsible for the electric force. Charge is also responsible for the electric potential, which is the potential energy associated with a given configuration of charges.

This is because the yellow sphere is a positively charged particle, meaning that it has an excess of protons compared to electrons.

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what is the dominant charge on the side group of arg at ph = 7?

Answers

At pH 7, the dominant charge on the side group of arginine is positive.

Arginine has a basic amine group, which acts as a proton acceptor and gives arginine a positive charge at neutral pH. However, the exact charge on the side group can vary based on other factors such as ionic strength, presence of other charged species in the solution, and the specific chemical structure of the arginine molecule. To determine the exact dominant charge, a more detailed analysis of the specific chemical and physiological conditions would be required.

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which of the following is an example of a chemical property

Answers

Answer:

flammability, toxicity, acidity, reactivity (many types), and heat of combustion.

Explanation:

have great day

The density of oak wood is 0.75g/cm3. if we have a board of oak wood that has a length of 182 cm, a width of 15.2, and a height of 5.08cm, what is the mass of this board in grams?

Answers

The density of wood substance is about 1.5 grams per cc, and practically no differences in this value exist among species. *Based on specimens in air-dry condition (12-15% moisture content).

What is the mass in grams?

The gram (originally gramme; SI unit symbol g) is a unit of mass in the International System of Units (SI) equal to one one thousandth of a kilogram. The mass of this pen cap is about 1 gram.

Mass is always constant for a body. One way to calculate mass: Mass = volume × density. Weight is the measure of the gravitational force acting on a mass.

Here are common examples of objects that have about one gram of mass: A small paperclip. A thumbtack. A piece of chewing gum.

Weight of one mole of an element, ionic compound or molecular compound is the Gram formula mass. Avogadro number i.e. 6.023 x 1023 number of molecules or atoms (depending on the type of compound it is) is present in one mole of a substance.

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is the magnification of a lenses constant

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Answer:

Explanation:

ddddddddddddddddddd

The magnification of the lens is not constant but the linear magnification of the lens is constant.

There are various factors independent of the magnification. The magnification of the lens is constant but the linear magnification of the lens is not constant. This statements means that if we are displacing the object from one location to the other then the height of the object is not changing at all. But the height's image will eventually change. It gives a different value of the magnification.

The magnification of a lens can be defined as the ratio of the height of an image to the height of an object. It is also given in terms of image distance and object distance. It is equal to the ratio of image distance to that of object distance.

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a proton is located at. what is the force on the proton, due to the dipole

Answers

The force on the proton due to the dipole is [tex]F = 6.67 * 10^{-11} N.[/tex]

This is because the dipole is an electric dipole, meaning that it consists of two charges of opposite sign. Since the proton is positively charged, it experiences an attractive force towards the negative charge of the dipole. The magnitude of this force is given by Coulomb's law,

[tex]F = k\frac{q1*q2}{r^{2}}[/tex]

,where k is the Coulomb constant, q1 and q2 are the charges of the two particles and r is the distance between them.

In this case, [tex]q1 = 1.6 *10^{-19} C[/tex] (the charge of the proton),[tex]q2 = -1.6 * 10^{-19} C[/tex] (the charge of the negative charge in the dipole), and[tex]r = 1 * 10^{-8} m[/tex] (the distance between the proton and the negative charge). Plugging these values into the equation yields [tex]F = 6.67 * 10^{-11} N.[/tex]

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complete question:A proton is located at <0, 3 ✕ 10-8, 0> m. What is the force on the proton, due to the dipole <1 ✕ 10-8, 0, 0> m?

Find the following vector. The vector in the direction of (10,- 24) with length 2 The vector in the direction of (10, – 24) with length 2 is? Complete parts (a) through (c) below. 4i + 3j. + a. Find two unit vectors parallel to v= - b. Find b if y= (5.0 ) ,b) is a unit vector. c. Find all values of a such that w=ai - Žj is a unit vector.

Answers

Since a must be positive, a = √(-20.5136) is not a real value, so there are no values of a that satisfy the equation.

what are the steps to solve the problem:

(a) To find two unit vectors parallel to the vector v = (10, -24), we need to divide the vector by its length to find its direction. The magnitude of v is the square root of the sum of the squares of the components, so the length of v is:

√(10^2 + (-24)^2) = √(100 + 576) = √676 = 26

To find the direction, divide each component of the vector by its length:

v = (10/26, -24/26) = (10/26, -24/26) = (10/26, -24/26) = (10/26, -24/26) = (10/26, -24/26) = (0.3846, -0.9231)

So, the two unit vectors parallel to v are:

u1 = (0.3846, -0.9231)

u2 = (-0.3846, 0.9231)

(b) To find b, we need to scale the unit vector u1 to have a magnitude of 5.0. Since u1 is already a unit vector, we can simply multiply it by 5.0:

b = 5.0 * u1 = (5.0 * 0.3846, 5.0 * -0.9231) = (1.923, -4.616)

(c) To find all values of a such that w = ai - bj is a unit vector, we need to find a so that the magnitude of w is equal to 1.0. The magnitude of w is:

√(a^2 + b^2) = √(a^2 + 4.616^2) = 1.0

Solving for a, we have:

a^2 + 4.616^2 = 1.0^2

a^2 + 21.5136 = 1.0

a^2 = 1.0 - 21.5136

a^2 = -20.5136

Since a must be positive, a = √(-20.5136) is not a real value, so there are no values of a that satisfy the equation.

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could a planet like earth have formed around a first-generation star?

Answers

It's possible for a planet like Earth to have formed around a first-generation star, also known as a Population III star.

Population III stars are believed to be the first generation of stars to form in the universe and are composed mainly of hydrogen and helium, with trace amounts of heavier elements. These stars are thought to have formed around 100 million years after the Big Bang.

However, it's also important to note that the conditions necessary for the formation of planets like Earth around Population III stars may have been rare. These stars are thought to have been much more massive and luminous than stars like our Sun, and the intense radiation they emitted may have made it difficult for solid planetary bodies to form and survive.

Additionally, the process of planet formation is thought to require the presence of heavier elements like carbon, oxygen, and nitrogen, which are the building blocks of the building blocks of rocky planets like Earth. These elements are thought to have been synthesized in later generations of stars, so it's likely that planets like Earth formed around later generation stars that had a higher abundance of these elements.

So, while it's possible for a planet like Earth to have formed around a first-generation star, the conditions for this to happen may have been rare, and it's more likely that planets like Earth formed around later generation stars.

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A 193 kg stage curtain needs to be raised 7. 5 m, at constant speed, in as close to 5. 0 s as possible. The power ratings for three motors are listed as 1. 0 kw, 3. 5 kw, and 5. 5 kw. Which motor is best for the job?

Answers

The best motor for the above purpose is 3.5 kW.

The best motor for the above purpose is 3.5 kW.  In electric motors, electrical energy is converted into mechanical energy. An electric motor produces force in the form of torque by the interaction between its magnetic field and the electric current flowing through its coils. As we know power is defined as the rate of work. Here you have to raise the curtains and defy gravity

so we have

Width = mgH = 193*10*7.5m

= 1418.5 years

Power = W/t

1418.5/5

= 2.8kW

So the best motor for the above purpose is 3.5 kW.

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nswer the following questions based on your observations in the lab only. explain and justify your answers to each. a. how many types of charge are there? b. could there be other type of charge?

Answers

a.There are two types of charge: positive and negative. This is based on the observation that when two objects are rubbed together, they can either become positively charged or negatively charged. Additionally, when objects with different charges are brought near each other, they experience a force that depends on their charges.

The direction of the force is attractive if the charges are opposite, and repulsive if the charges are the same. These observations have been repeatedly confirmed in many experiments and are widely accepted in the scientific community.

Charge is conserved, meaning the total charge in a closed system remains constant. When two objects are rubbed together, they can transfer electrons and become charged. Opposite charges are attracted to each other, while like charges are repelled.

b. Currently, there is no experimental evidence for the existence of a third type of charge. However, some theories beyond the standard model of particle physics propose the existence of new types of charge.

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Sasha lifts a couch from the ground floor of her house to the attic. If the couch has a mass of 120 kg and is lifted 8. 2 m, then what is the energy gained by the couch?.

Answers

The change in gravitational potential energy of the couch with 120 kg mass is 9653 J.

The gravitational potential energy is defined as the energy possessed by an object due to its position above the ground. If an object is located near the surface of the earth then the change in gravitational potential energy is given by

ΔU - mgΔh

Where

m = the mass of the object

g = acceleration of gravity

g = 9.8 m / [tex]s^{2}[/tex]

Δh =  change in height of the object

For the couch in this problem, we have m = 120 kg which is its mass.

Δh = 8.2 cm

Now solving the equation, we get:

ΔU = 120 x 9.8 x 8.2 = 9653 J

The energy gained by the couch is 9653 J

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The ancient Romans knew about an earth material called lodestone.

Lodestone is a rock that is a natural magnet. The Romans created a

monument in one of their temples that included a statue suspended in

midair


How might they have used lodestone to create the effect?

Thank you!

Answers

The Romans could have made the statue out of lodestone, or placed a core of lodestone inside. Then the frame of the statue would have had to be made of iron in order to have equal net forces around the statue.

About lodestone

Lodestones led to a magnetic compass.

Lodestone is a form of magnetite that exhibits distinctive magnetic qualities. This quality led to the use of lodestones as an early form of compass, as they could be used to show the way north.

As is often the case with scientific phenomena that are difficult to explain, gemstones have historically been associated with magical or alchemical events, and many people who practice magic use gemstones in their work. Magnets and objects with magnetic qualities continue to be popular in alternative medicine and magical practices.

Magnetite is a form of iron oxide. When a rock has a certain crystal structure and chemical composition, it has the potential to become a magnet. If a stone is magnetized, it will be attracted to the earth's magnetic poles, and when it is suspended in the air, it will slowly point towards the poles. It will also attract iron, as observed by the Chinese in the fourth century AD.

Seafarers used lodestones in their navigation; the Chinese seem to have been the first to discover the properties of magnetite in a navigational context.

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How much time doe it take for accelerate at cheetah to 20m/ from ret to peed of 40m/?

Answers

It takes the cheetah two seconds to accelerate at 20 m/s² from rest to a speed of 40 m/s.

Acceleration in colloquial terms means speeding up, but in physics, acceleration can mean speeding up, slowing down, or changing directions.

Mathematically speaking, acceleration a is equal to change in velocity Δv over time t (a = Δv/t). Change in velocity is equal to final velocity v minus initial velocity u (Δv = v - u).

Given that u = 0 m/s, v = 40 m/s, and a = 20 m/s², the time it takes the cheetah to accelerate is:

a = Δv/t

20 = (40 - 0)/t

20 = 40/t

20t = 40

t = 40/20

t = 2 seconds

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why does fraud seem to be increasing at such an alarming rate

Answers

Due to a number of circumstances, such as the growing use of technology and the accessibility of personal information online, fraud is rising alarmingly quickly.

Fraud is increasing for a number of reasons, including:

Technology: Due to the widespread use of technology in daily life, it is now simpler for fraudsters to gain access to private data and engage in fraudulent activity. This covers social media sites, internet stores, and online banking.

Personal data: Due to the growing internet availability of personal data, it is now simpler for fraudsters to access the data they need to commit fraud. This contains names, residences, birthdates, and financial data.

Globalization: As the world has become more interconnected as a result of globalisation, fraudsters are now able to operate internationally.

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what is the spring constant of the trampoline? what is the spring constant of the trampoline? 800 n/m 2400 n/m 3200 n/m 1600 n/m

Answers

The spring constant of the trampoline when the mass of the girl and the height upto which she jumps is given is calculated to be 212.55 N/m.

A girl is standing on a trampoline. She weighs 65 kg and has a 3-meter vertical leap.

We have to find the spring constant.

Since by Hooke's law,

F = -kx

Where,

F = force applied by the spring

k = spring constant

x = displacement

We also know that the spring will exert a force equal to the girl's weight.

So, F = mg

Therefore, (-mg) = -kx

65 × (9.81) = k × (3)

k = (65 × 9.81)/3 = 212.55 N/m

Thus, the spring constant of the trampoline is 212.55 N/m.

The given question is incomplete. The complete question is 'A girl is standing on a trampoline. Her mass is 65 kg and she is able to jump 3 m. What is the spring constant for the trampoline?'

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How far is 3,000 meters in miles?

Answers

The fundamental length unit and length in the World System of Units is the meter, or meter (symbol: m) (SI). The distance covered by light is measured in meters.

What in physics is light?

Light is the electromagnetic radiation that the human eye can perceive. From radio waves with wavelengths measured in meters to gamma rays with wavelengths shorter than around 1 10 11 meters, electromagnetic radiation occurs throughout a very broad range of wavelengths.

What is energy from light?

Light Energy Uses & Source   Its ability to make different types of sunlight visible to our sight makes light energy a type of kinetic energy. The electromagnetic radiation known as "light" is emitted by warm objects like laser, lamps

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a coin is tossed into the air vertically upward with an initial speed of 18.5 m/s. how high does the coin go above its point of release? how long does it take for the coin to come back to its point of release?

Answers

The maximum height that the coin can reach is 17.46 meters and

The time taken to reach the coin to its initial position is 1.89 s

Given,

The coin is tossed into the air vertically upward with a speed of 18.5 m/s

Therefore, initial speed = 18.5 m/s.

acceleration acting on the coin is g m/s²

where g = 9.8 m/s²

we know,

v² - u² = 2aS          

final velocity (v) = 0      (when the coin reaches maximum height)

a = -9.8 m/s²          (g is acting opposite to the initial motion of the body)

S = the maximum height that the coin can reach

i) to find the maximum height

substitute the values in the equation

0² - (18.5)² = 2(-9.8) S

342.25 = 19.6 S

⇒ S = 342.25/19.6

S = 17.46 m

Therefore, the maximum height that the coin can reach is 17.46 meters

ii) to find the time taken for the coin to reach the initial position

we use v = u + at   where t = time taken to reach initial position

0 = 18.5 - 9.8 t

⇒ t = 18.5 / 9.8

∴ t = 1.89 s

Therefore, the time taken to reach the coin to its initial position is 1.89 s

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