the position of a small object is given by x=34+10t−2t3, where t is in seconds and x in meters.

Answers

Answer 1

(a) The instantaneous velocity at 0 s is 10 m/s and at 3 s is -44 m/s.

(b) At time t = 1.29 s, the instantaneous velocity is zero.

Given that,

x = 34 + 10 t - 2 t³

v = dx/dt = 10 - 6 t²

v = 10 - 6 t² ----(1)

(a) Replacing t = 0 in (1)

v = 10 m/s

If t = 3 s, then

v = 10 - 6 (3)² = 10 - 54 = - 44 m/s

(b) Let us determine time from (1)

If v = 0, then

10 - 6 t² = 0

6 t² = 10

t² = 1.67

t = 1.29 s

The question is incomplete. The complete question is '(a) Find the instantaneous velocity of the object at 0 s, and at 3.0 s. (b) At what time between 0 and 3.0 s is the instantaneous velocity zero?'

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Related Questions

two people are pulling on the ends of a rope. each person pulls with a force of 100 n. the tension in the rop is:

Answers

Option C 100 N is correct. Given that no element of the system is in motion, a person pulling with 100 N of force at either end of the rope is met with a 100 N tension in the rope.

Because the rope is subjected to the same pulling force on both sides, it is in a state of static equilibrium (i.e. it is at rest consequently has a net force of zero). Tension on a rope will be zero if it is pulled from its ends by two opposing forces of 100N each since both forces have identical magnitude but operate in different directions on the same body and cancel each other out.

The complete question is- Two people are pulling on the ends of a rope. Each person pulls with a force of 100 N. The tension in the rope is:

A 0 N

B 50 N

C 100 N

D 141 N

E 200 N

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What are the 7 types of electromagnetic waves from left to right?

Answers

Radio waves, microwaves, infared waves, visible light, ultra-violet, x-Rays and  gamma rays are the 7 types of electromagnetic waves from left to right.

The electromagnetic spectrum's longest wavelengths are found in radio waves, a kind of electromagnetic radiation.

Wavelengths of electromagnetic radiation, which include microwaves, typically range from one meter to one millimeter.

Longer wavelengths than visible light characterize infrared electromagnetic energy, also referred to as infrared light.

The area of the electromagnetic spectrum that is visible to the human eye is referred to as the visible spectrum.

A type of electromagnetic radiation with a shorter wavelength than visible light is ultraviolet radiation (UV).

A penetrating kind of high-energy electromagnetic radiation is an X-ray or, much less frequently, an X-radiation.

Sharp electromagnetic radiation waves called gamma rays, also referred to as gamma radiation, are created when atomic nuclei break down radioactively.

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How many Scope 3 categories are there?

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The majority of an organization's overall greenhouse gas (GHG) emissions frequently come from scope 3 emissions, also known as value chain emissions. Scope 3 emissions are divided into 15 categories by the GHG Protocol.

A Scope 3 analysis is what is it?

Greenhouse gas emissions from a corporation that it directly manages. indirect greenhouse gas emissions caused by the electricity or other energy a corporation utilizes. indirect greenhouse gas emissions of a firm that are not covered by Scope 2.

What makes Scope 3 crucial?

In many industries (and more than 90% in many global corporations, according to CDP reporting), scope 3 emissions, also known as "Value Chain emissions," make up the bulk of total emissions. These emissions are regarded as essential to combating climate change.

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What is the unit of wavelength?

Answers

The unit of wavelength depends on the type of wave being described. In the International System of Units (SI), the unit of wavelength is the meter (m). This is the case for most types of waves, including electromagnetic waves (such as light), sound waves, and mechanical waves.

What is wavelength?

Wavelength is the distance between two consecutive points of the same phase on a wave. It is the distance traveled by a wave in one period (the time it takes for the wave to complete one cycle). The wavelength is usually denoted by the Greek letter lambda (λ).

For example, the wavelength of a radio wave might be measured in meters, the wavelength of visible light might be measured in nanometers (nm), and the wavelength of a sound wave might be measured in centimeters (cm).

In some fields of physics, other units of length may be used to express wavelength. For example, in the field of quantum mechanics, the unit of length is often the angstrom (Å), which is equal to 0.1 nanometers (nm).

Therefore, the unit of wavelength varies depending on the type of wave.

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two prospectors are pulling on ropes attached around the neck of a donkey that does not want to move. one prospector pulls with a force of 50 lb, and the other pulls with a force of 75 lb. if the angle between the ropes is 25 degrees, then how much force must the donkey use in order to stay put? 8. a cannon ball is placed on a 12 degree incline., a force of 9.6 pounds is required to keep the ball in place. determine the weight of the ball.

Answers

The ball in place. determine the weight of the ball. Fr = 14920 is the correct answer.

Using the formula of Force

The Donkey is reportedly being dragged by two prospectors using ropes with gives of F1 = 50 lb and F2 = 75 lb and an angle of 25° between the ropes.

Therefore, the Donkey must exert force that is equivalent to and directed in the opposite direction as the force that the rope is applying to the Donkey.

Consequent force is

Fr = [tex]F1^{2}[/tex] + [tex]F2^{2}[/tex] + 2F1F2 Cos (25°)

After entering the values, we obtain

Fr = [tex]50^{2}[/tex] + [tex]75^{2}[/tex] + (2)(50)(75) Cos (25°)

Fr = 2500 + 5625+ (2)(50)(75) (0.906)

Fr = 2500 +5625 + 6795

Fr = 14920

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Hubble's law expresses a relationship between __________.

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Hubble's law expresses a relationship between the distance of a galaxy and the speed at which it is moving away from us. This law says that galaxy's velocity is directly proportional to its distance.

This law gives an important insight into the state of the universe. If the universe were static, there would not be a direct relation between velocity and distance. This law is the first observational basis for the expansion of the universe.

Direct relation means that the farther they are moving from the earth, the higher their speed is. This law supports the Big Bang theory of the origin of the universe.

The law can be expressed in equation form

V = [tex]H_{o[/tex]D

Where,

V = velocity of galaxy

[tex]H_{o[/tex] = Hubble's constant

D = distance from earth

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a 500 w heating unit is designed to operate with an applied potential difference of 115v. by what percentage will the power drop if the applied potential difference is reduced to 100v?

Answers

We change [V 1] to 115 V, [V 2] to 110 V, and [P 1] to 500 W in the equation above. As a result, the output power will decline by 8.5%, which will also result in an 8.5% fall in heating output.

How much heat is produced by 500W?

A low-wattage 500W heater can effectively heat places up to 57 square feet and offers a heating output of 1706 BTU. The smallest 200W heater, which can heat places up to 23 square feet, has a heating output of 682 BTU.

How much energy does an electric heater use?

Since they convert all of the electricity they consume into heat, electric heaters are all believed to be 100% efficient, but this does not imply that their operating costs are low.

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Why is current i in Ohm's law?

Answers

It turns out that I stands for the German word for intensity, intensität.And if you look about it, the main aspect of stream or flow is intensity.

Why do I support the current?

Current is typically represented by the letter I, which comes from the French term intensité du courant (current intensity).The term "current" is frequently used to refer to current intensity.André-Marie Ampère, who gave the electric current unit its name, formulated his force law using the I symbol (1820).

Am I up to date on Ohm's law?

Ohm's Law Formula:V = IR is the formula, where V seems to be the voltage applied from across conductor, I is indeed the current that flows through it, and R represents the resistance the conductor offers to the current flow.

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Mr. Chang's class participated in a science experiment where they placed three substances outside in the sunlight to determine which substance would increase in temperature more quickly. How would the motion of the particles of each substance be described if they are allowed to sit in the sun for a duration of 10 minutes?.

Answers

In order to find out which substance would raise in temperature most quickly, Mr. Chang's class conducted a scientific experiment outside in the sunlight using three different substances.

If particles of each substance were permitted to sit in the sun for 10 minutes, how would their motion be described? B. Physical alterations are non-chemical changes that are made to an item or substance. They alter an object's physical characteristics, such as its size, color, texture, volume, or density. To find out more about the science underlying the treat or to find some more at-home experiments, see the resources listed below. Just keep in mind that science is best when it is shared, so tell your friends about your experiment.

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T/F observations in the x-ray portion of the spectrum are routinely done from the surface of the earth.

Answers

Observations in the X-ray portion of the spectrum are routinely done from the surface of the Earth is a false statement .

The electromagnetic spectrum's infrared region is where the earth emits the most energy. When the energy from the sun reaches the surface of the Earth, 49.4% of it is infrared radiation, 42.3% of it is visible light, and 8.3% of it is ultraviolet radiation.After being received from the sun, energy is reflected back into the atmosphere ( in the form of light ). The energy radiated by the Earth is significantly weaker than the Sun because it is much cooler. As a result, it emits infrared radiation ( long wavelength )

As a result, the planet emits the most energy in the infrared region of the electromagnetic spectrum is correct statement .

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Imagine a scientist detects an electromagnetic wave with a higher frequency than that of most gamma-ray waves. The scientist calls these waves delta rays. Which of these statements would be true of delta rays?.

Answers

The correct answer is option B,

Delta rays would have the same wavelength as most gamma rays.

The term "delta ray" is commonly used to refer to any rebound particle produced by secondary ionization.

A delta ray is a secondary electron with sufficient energy to escape from the initial radiation beam and trigger more ionization.

J. J. Thomson was the author of the phrase.

Gamma radiation, commonly referred to as gamma rays, are piercing electromagnetic radiation waves that result from the radioactive disintegration of atomic nuclei.

It comprises of electromagnetic waves with the shortest wavelengths, often shorter than X-rays.

Delta rays are by-products of the secondary ionization of molecules.

They are composed of sluggish electrons and other ionizing radiation-produced particles and have extremely little penetration strength.

Ionizing radiation causes particles to discharge their atoms, creating delta rays as a result.

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The complete question may be like this:

Imagine a scientist detects an electromagnetic wave with a higher frequency than that of most gamma-ray waves. Scientist calls these waves delta rays. Which of these statements would be true of delta rays?

A.) Delta rays would have more energy than most gamma rays do.

B.) Delta rays would have the same wavelength as most gamma rays.

C.) Delta rays would have a longer wavelength than most gamma rays have.

D.) Delta rays would travel faster than most gamma rays.

When it comes to travel documents in an electronic travel system what is the status of an ao.

Answers

An AO is an Authorization Order, which is a document that is used to authorize a traveler to travel. It is typically issued by the travel agency or airline and is used to confirm the traveler's identity and travel plans.

Part (c) Which graph represents an object being stationary for periods of time? O O O displacement
displacement V 1(s) O O O displacement displacement displacement 1(3) 1(8)
Part (b) Which graph has only negative velocity? O O O displacement displacement 1(s) O O O
displacement displacement 1(s) 1(s)
Part (a) Which of the following graphs represents an impossible motion? O O O displacement displacement
O O O displacement displacement displacement A 1(s)

Answers

The graph that represents an object being stationary is graph C.

The graph that represents an object only has negative velocity is graph C.

The graph that represents an impossible motion is graph C.

Look at the attachment for the full question. The displacement or changing position from the original position with time can be described by a displacement-time graph. There are

A flat line graph
Indicates that the object is stationary.A straight line with a positive gradient
The line increase and indicates that the object has a constant velocity.A straight line with a negative gradient
The line decrease and indicates that the object has a constant negative velocity.An increasing curve
Indicates that the object has non-uniform motion with acceleration.A decreasing curve
Indicates that the object has non-uniform motion with deceleration.

Look at the first problem.

Stationary objects are shown by a flat line.Only picture C has a flat line.

Look at the second problem.

Negative velocities are shown by a straight line with a negative gradient.Only picture C has a straight line with a negative gradient.

Look at the third problem.

An impossible motion is shown in a displacement-time graph if there are two displacements at one time. Impossible for the same object in two places at one time.Look at picture C. If you draw a vertical line from the point that intersects the x-axis, you will get two points of displacement of the object.Only picture C has impossible motion.

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classify each of the following amines as primary (1∘), secondary (2∘), or tertiary (3∘):

Answers

Amine classification: Primary, Secondary Amines, which are derivatives of ammonia, are categorized as primary (1°), secondary (2°), and tertiary (3°) based on how many hydrogen atoms in the ammonia molecule have been replaced by alkyl or aryl groups.

A primary amine is created when one alkyl group replaces one hydrogen atom in NH 3. primary, secondary, tertiary, or quaternary amine as 1o, 2o, 3o, or 4° (CH3)4N+ .

(C₂H₅)CHNH₂ N atom is directly connected with only one C atom (i.e. one alkyl group) So, it is a primary amine.

An intermolecular interaction involves primary and secondary amines. This is because the nitrogen in one molecule and the hydrogen in another molecule form a hydrogen bond. This intermolecular interaction is more prevalent in primary amines compared to secondary amines.

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What are the benefits of wind and solar?

Answers

As they lessen reliance on combustion-based electricity generation, wind and solar energy boost air quality, public health, and greenhouse gas emissions.

What are three advantages of solar energy?

Solar energy has advantages as a renewable energy source. The fact that solar energy is a completely renewable energy source is the most significant of all the advantages of solar panels. Reduces electricity costs and has many uses. Costs of maintenance are low.

What advantages do solar panels offer?

A clean, emission-free, and sustainable energy source is home solar power. Home solar energy, as opposed to fossil fuels like coal and natural gas, doesn't emit hazardous pollutants or greenhouse gases like carbon dioxide into the air and water supplies.

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Q4. State the energy transformations in the following cases.

a) electric iron __________ to __________

b) in lighting a candle ________ to _______

c) battery ___________ to ____________

d) boiling water on a gas hob _____ to ____​

Answers

Answer:
A. Electrical energy to Heat energy
B. Light energy to heat energy
C. Chemical energy to electrical energy
D. Heat energy into chemical energy
Explanation:
A. When we use electric iron it converts electrical energy into heat energy with the help of electricity.
B. when we burn a candle it produces heat energy. Due to lightning of candle.
C. When we use a battery in a device or any kind of machine, the chemical energy change into electricidal energy.
D. When we boil water on a gas lop it evaporates in the form of H2O which means heat energy is converted to chemical energy.

Which of the following actions, if done independently; would increase the maximum height reached by the ball?

a. reducing the spring constant k
b. increasing the spring constant k
c. decreasing the distante the spring is compressed
d. increasing the distance the spring is compressed
e. decreasing the mass of the ball

Answers

Increasing the spring constant k, increasing the distance the spring is compressed, decreasing the mass of the ball will increase the maximum height reached by the ball.

What is meant by maximum height reached by the object?

An object thrown vertically up will rise to its maximum height in direct proportion to its initial velocity, u.

First, as compression distance and spring constant k are raised while mass is decreased, maximum height will increase. As a result, we can select the best course of action by first raising the spring constant. Next, we have the option of extending the distance. Lastly, the spring is compressed, reducing the ball's bulk.

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When an object of ma m1 i hung on a vertical pring and et into vertical imple harmonic motion, it
ocillate at a frequency of 12. 0 Hz. When another object of ma m2 i hung on the pring along with the
firt object, the frequency of the motion i 4. 00 Hz. Find the ratio m2 /m1 of the mae

Answers

The ratio of the mass of the objects which are hung in the vertical spring is 9

The frequency of the spring with mass m₁ = 12 Hz

The frequency of the spring with the mass m₂ = 4 Hz

The ratio of the mass can be found using the formula,

                    [tex]\displaystyle f = \frac{1}{2 \pi} \sqrt{\frac{k}{m} }[/tex]

where f is the frequency of the spring

         k is the spring constant

         m is the mass

Then, the ratio of masses is

               m₂ / m₁ = f₁² / f₂²

Let us substitute the known values in the above equation, we get

              m₂/m₁ = 12² / 4²

                         = 144 / 16

                         = 9

Therefore, the ratio of mass is 9            

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What are the 4 types of diseases with examples?

Answers

Infectious diseases, deficient diseases, hereditary diseases (covering both genetic disorders and non-genetic hereditary diseases), and physiological diseases are the four primary categories of disease.

Give examples of the different diseases.

Asthma. Chronic pulmonary condition known as asthma is characterized by episodes of airway blockage and narrowing that result in wheezing, coughing, chest tightness, and shortness of breath. Autoimmune Conditions. ALPS, or Autoimmune Lymphoproliferative Syndrome Cholera. Coronaviruses. The dengue virus.

Which five diseases are they?

Each year, infectious diseases afflict billions of individuals worldwide. These infectious diseases are the five most prevalent, say the WHO and CDC. Infectious diseases are illnesses brought on by pathogens—dangerous organisms—that enter your body from the outside.

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a 7500 kg rocket blasts off vertically from the launch pad with a constant upward acceleration of 2.25 m>s and feels no appreciable air resistance. when it has reached a height of 525 m, its engines suddenly fail; the only force act- ing on it is now gravity. (a) what is the maximum height this rocket will reach above the launc

Answers

2​​=2×9.8(48.6)2​=121m​The maximum displacement above pad is given by '

ymax=y1+y2=525+121=646  m The velocity just before crashing is given by vA22=vC2+2gymax  ⇒(3) By substitution in (2) get that vA2=2×9.8×646≈113  m/s vA2​​=2×9.8×646 ≈113m/s​ the maximum height this rocket will reach above the launc is ymax=646M.

What is subject to the effects of gravity?

Whether an object is moving or not, gravity still exerts a pull on it.In real life, an object's gravitational pull does not vary considerably when it ascends above the Earth.

when only gravity is exerting a force on it?

An object is considered to be in terminal decline when gravity is the only force affecting it.9.8 m/s is the acceleration caused by gravity.

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a force of 40Nis applied at the end of a wire 4m long and produces an extension of 0.24mm. if the diameter of the wire is 2.0mm. calculate the stress and strain of the wire

Answers

Answer:

stress = 13000000 N/m or Pa

Strain = 6x10^-5

Explanation:

Radius - d/2

Radius = 2 /2

Radius = 1 mm

Stress = F/A

stress = F / (πr^2)

Stress  = 40 / (π(1 / 1000)^2)

Stress = 12732395 ≈ 13000000 N/m or Pa

Strain = Extension / Original length

Strain = (0.24 / 1000) / 4

Strain = 6x10^-5

I hope my answer helps you.

ezrah attached a baseball to a small rope that is 0.50 meters in length. He then began spinning the string with rotational speed of 2.0 rotations per second. predict how to tangential velocity of the ball would change if ezrah reduced the length of the rope to 0.25 meters and rotational speed is help constant

Answers

if Ezra reduced the length of the rope to 0.25 meters and  rotational speed is held constant, There is a change of 3.14 m/sec in the velocity when length of rope is reduced from 0.50 to 0.25 m.

What is rotational speed?

The no. of revolutions made by a rotating object in a given defined time is termed as rotational speed.

Solution:

Given:

initially length of rope i.e. R = 0.50m

2 rotations per second = 1 rotation =0.5 sec= T

now after changing ropes length R=0.25 m

Initially velocity of the ball rotating on R =0.50m

⇒v=2πR/T

⇒v=2*3.14*0.50/0.5

⇒v=6.28 m/sec

6.28 m/sec is the velocity of the ball rotating on R =0.50m.

Now to find the velocity of the ball rotating on R =0.25m we use the following eq.

⇒v=2πR/T

⇒v=2*3.14*0.25/0.5

⇒v=3.14 m/sec

3.14 m/sec is the velocity of the ball rotating on R =0.25m

Hence, there is a change of 3.14 m/sec in the velocity when length of rope is reduced from 0.50 to 0.25 m.

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How do you calculate the speed of emitted photoelectrons?

Answers

The formula to calculate speed of emitted photoelectron is KE = 1/2mv²

What is Photoelectric effect?

The process through which electrons leave a metal's surface after absorbing electromagnetic radiation is known as the photoelectric effect.

Since photons are the units of light, according to Einstein's theory, when a photon collides with a metal's surface, the full photon's energy is transferred to the electron. A portion of this energy is utilized to free the electron from the metal atom's hold, while the remainder is transferred as kinetic energy to the ejected electron.

Three crucial aspects of the photoelectric effect are not explicable by classical physics: (1) the lack of a lag time; (2) the independence of the photoelectrons' kinetic energy from the strength of the incident radiation; and (3) the presence of a cut-off frequency.

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What are the three importance of carbon dioxide?

Answers

The fact that CO2 is a greenhouse gas is important. This implies that CO2 traps heat near to Earth in the atmosphere. It enables our planet to retain part of the heat from the Sun so that not all of the energy escapes back into space.

What function does carbon dioxide serve?

Carbon dioxide is a crucial greenhouse gas that helps keep heat in our atmosphere. Without it, our planet would be too cold to support life. But other aspects of Earth's climate are being impacted by an increase in average global temperatures spurred on by growing CO2 levels in our atmosphere.

What three functions does carbon serve?

All known biological systems depend on carbon, and life would not be possible without it. There is carbon in the form of hydrocarbons, such as fossil fuel, methane gas, and crude oil, that are not found in food or wood. Since carbon fibers are strong, lightweight, and long-lasting materials, they have a variety of purposes.

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the man at a wishes to throw two darts at the target at b so that they arrive at the same time.

Answers

"If the darts are thrown at the same speed then (B) Projectile that travels along trajectory B was projected earlier and (C) Second dart must be projected at angle, such that 0 + 0,8 = 90° is correct."

Initial speed of dart A = u'

Angle of dart A = θ'

Initial speed of dart B = u''

Angle of dart B = θ''

Both darts start out at the same speed,

Thus, u' = u'' = u

The darts are launched one at a time from the same location A, but not simultaneously. However, they cover the same horizontal distance and arrive at B simultaneously.

Since both darts' horizontal ranges are equal,

= [ u²sin(2θ') / g ] =  [ u²sin(2θ'') / g ]

= sin(2θ') = sin(2θ'')

Although θ' is not equal to θ", we can infer that θ" >θ' from the figure.

Since both are acute angles,

= sinθ'' > sinθ'

Multiplying both sides by 2u/g, we get,

= [ 2u X sinθ'' / g ] > [ 2u X sinθ' / g ]

so that the two darts' respective trajectories are as follows:

= T'' > T'.

Thus, statement B and C are correct options.

The given question is incomplete. The complete question is '(A) Projectile that travels along trajectory A was projected earlier (B) Projectile that travels along trajectory B was projected earlier. (C) Second dart must be projected at angle e, such that 0 + 0,8 = 90° (D) Second dart must be projected at angle , >, STA​.'

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FILL IN THE BLANK. the ground-state electron configuration of ________ is [ar]4s13d5.

Answers

The ground-state electron configuration of chromium is [Ar] 4s¹ 3d⁵.

The electronic configuration is described as the arrangement of electrons in the orbitals around an atomic nucleus.

The given electronic configuration is [Ar] 4s¹ 3d⁵.

The atomic number of [Ar] is 18.

It is given that 4s has 1 free electron and 3d has 5 free electrons.

So, the given element has 18 + 1 + 5 = 24

The element with 24 electrons is said to be chromium.

The nearest inert substance with the atomic number 18 is argon.

The chromium atom has 6 unpaired electrons.( 1 in 4s orbital and 5 in 3d orbital)

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What happens when the magnet moves toward the loop?

Answers

An electric current flows through a loop of wire when you move a bar magnet toward it! Faraday's law, which describes this physical process, is the foundation of electric generators. One of the pillars of electromagnetic is the Faraday law.

What occurs when you get the magnet nearer to the loop?

The flux increases quickly as the magnet approaches the coil and eventually reaches the magnet inside the coil. Magnetic flux begins to decrease through the coil as it moves through it.

What occurs when the magnet's north pole moves in the direction of the loop?

Since the intensity of the field lines directing from the front to the back of the loop are becoming stronger as the magnet's north pole approaches the loop, the flux through the loop caused by the magnet's field increases.

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help me plsplsplsplsplsplsplspls

Answers

Answer:2.15 (rounded to 2 decimal place)

Explanation:Mass = 28g

Volume =?

Density = 13 g/ml

Volume = Mass/Density

Volume = 28/13
volume= 2.15384615

an object is experiencing a centripetal acceleration of 36m/s2 while traveling in a circle of radius 15m. what is it's velocity?

Answers

The velocity of the object is  23.24 m/s.

What is centripetal acceleration?

An attribute of an object moving in a circular route is centripetal acceleration. Any object moving in a circle with an acceleration vector pointing in the direction of the circle's center is said to be experiencing centripetal acceleration.

Given that an object is experiencing a centripetal acceleration of 36m/s^2.

Radius of the circle: r = 15 m.

Then, the velocity of the object is = √(36×15) m/s = 23.24 m/s.

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The velocity of a body change from vi to 30m/in 20econd if the rate of change of velocity i 4m/2 find vi

Answers

The velocity of a body change from vi to 30m/s in 20econd if the rate of change of velocity is 4m/s, initial velocity is -50 m/s.

To find the initial velocity, vi, of a body that undergoes a change in velocity, you can use the formula:

vi = vf - at

where vi is the initial velocity, vf is the final velocity, a is the acceleration (rate of change of velocity), and t is the time over which the acceleration occurs.

In this case, you are given that the final velocity is 30 m/s, the acceleration is 4 m/s^2, and the time is 20 seconds. Plugging these values into the formula gives:

vi = 30 m/s - 4 m/s^2 * 20 s

vi = 30 m/s - 80 m/s

vi = -50 m/s

Therefore, the initial velocity of the body is -50 m/s.

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