given a uniform one meter long stick with a mass 0.100 kg a mass of 0.020 kg is placed 5.00 cm away from the end of the stick om the table g how far can the center of mass of the stick be moved to the right before the stick begins to rotate

Answers

Answer 1

The center of mass of the stick will be moved above 79.2 cm to the right before the stick begins to rotate.

What is the equilibrium position of the meter rule?

The equilibrium position of the meter rule is the point at which all the forces acting on the meter rule sums to zero.

The equilibrium position of the meter rule is determined by taking moment about the center mark or the end position.

-------5cm---------------------------------------------------------100cm

       ↓             x             ↓

     0.02 kg                  W

sum of anticlockwise moment = sum of clockwise moment

0.02 (x) = W (100 - (5 + x) )

0.02x = 0.1 ( 100 - ( 5 + x ) )

0.02x = 0.1 ( 100 - 5 - x )

0.02 x = 10 - 0.5 - 0.1x

0.12 x = 9.5

x = 9.5 / 0.012

x = 79.2 cm

Thus, when the center mass is moved any distance above 79.2 cm, the meter stick will begin to rotate.

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Related Questions

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.

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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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.

Where is magnetic strip used?

Answers

Answer:

Magnetic strips can help keep small toys organized in your child’s room or play area. Attach a magnetic strip to the wall and use it to hold small, metal toy cars and trains. One of the most common ways to use magnetic strips is to hold kitchen knives and utensils in the kitchen.

Explanation:

hope this helps!

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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How does an inclined plane increase force?

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Acceleration will increase as the angle of incline does, and as a result, force will as well.

The gravitational force acting on the cart increases as the slope of the incline increases, causing it to accelerate more quickly.The ramp's steepness will cause an increase in inclination. As a result, the acceleration increases as the inclination angle increases. This acceleration causes the object to descend with greater speed.

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Can sonar reach ocean floor?

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On the ocean floor, sonar is used to locate items. One technique for examining the details of the ocean floor is side scan sonar.

Can sonar create an ocean floor map?

Towfish or tow vehicles are common names for the side scan sonar equipment that is pulled by ships. Ocean floors can be mapped using sonar.

The ship broadcasts multibeam sonar waves. Multibeam "paints" the bottom in a fan-like pattern by emitting roughly 1500 sonar soundings per second. In doing so, a thorough "sound map" that displays ocean depth, bottom type, and topographic features is produced.

High resolution maps of the seafloor can now be created using multibeam or side scan sonar, either from a ship or a towed transmitter.

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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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a 155 kg point mass is located 1.50 m from a 275 kg point mass, with both masses fixed in place. where should you place the third point mass so that the net gravitational force on the third point mass due to the original two masses is zero?

Answers

The third point mass should be placed 64 cm away from 155 kg in between them.

What is gravitational force?

The force of attraction between any two bodies is directly proportional to the product of their masses and is inversely proportional to the square of the distance between them, according to Newton's universal law of gravitation.

Given that: a 155 kg point mass is located 1.50 m from a 275 kg point mass.

Let a new point unit mass is placed  x m away from 155 kg in between them.

If the net gravitational force on the third point mass due to the original two masses is zero:

G* 155/x² = G * 275/(1.50  -x)²

(1.50 - x)² = (275/155)x²

1.50 - x = ±1.33 x

2.33 x = 1.50

x = 0.64 m = 64 cm.

Hence,  the third point mass should be placed 64 cm away from 155 kg in between them.

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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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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

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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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What is the stopping potential if the incident light has a wavelength of 180nm?

Answers

The photoelectric effect's cutoff wavelength is 295.98 nm. (b) The stopping potential is 2.70625 V if the incident light has a wavelength of 180 nm.

What is the formula for calculating stopping potential?

How to get KEmax=|eV0|, the equation for a photoelectron's stopping voltage. Hint: The stopping voltage (or stopping potential) refers to the voltage difference required to stop electrons from passing between plates and creating a flow in the photoelectric analysis.

How do you determine stopping potential photoelectric?

Derivation of the Photoelectric Effect and the Stopping Potential Formula

According to Einstein's photoelectric equation

(0.6+2.14)eV

1242eVnm

=454nm

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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.

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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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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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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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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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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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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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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kannanaski rapids drops 65 ft vertically over a horizontal distance of 892 ft. what is the slope of the rapids?

Answers

The slope of the Rapids is = 0.073.

The slope of the Kannanaski Rapids can be calculated using the formula:

Slope = ∆y/∆x

where ∆y is the change in the vertical distance (also known as the rise) and ∆x is the change in the horizontal distance (also known as the run).

In this case, the change in the vertical distance is 65 ft, and the change in the horizontal distance is 892 ft. Plugging these values into the formula above, we get:

Slope = 65 ft / 892 ft

This simplifies to:

Slope = 0.073

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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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What has the lowest frequency but has the highest energy?

Answers

On the electromagnetic spectrum, gamma rays have the highest frequencies, energies, and shortest wavelengths.

What do you mean by wavelength?

When electromagnetic radiation such as radio waves, light waves, or infrared (heat) waves travel through space, they leave behind distinctive patterns. Each wave does have a distinct size and shape. Wavelength is the separation between peaks (high points).

What do you mean by frequencies?

The term "electromagnetic spectrum" (EMS) refers to the entire spectrum of electromagnetic radiation that is currently understood. Wavelengths rise from roughly 10-18 m to 100 km, and frequencies fall from 3 x 10²⁶ Hz to 3 x 10³ Hz in this range.

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How many Scope 3 categories are there?

Answers

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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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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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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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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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

What is the half-life of a radioactive nucleus?

Answers

A radioactive nucleus's "half-life" is one of its key characteristics due to the type of radiation it emits. It establishes how rapidly it will decay and how long its radiations will cause us to be concerned.

What does radioactivity's half-life mean?

A radioisotope's physical half life (Cs-137 = 30 years) is the amount of time it takes for its quantity to decline by half. A radionuclide's biological half life (CS-137 = 70 to 100 days) is the amount of time it takes for half of it to leave the body.

What are the radioactive nucleus' half-life and average life?

The radioactive half-life is 0.693 times longer than the normal lifetime, so take note that they are not the same thing. The illustration that raises the most questions is the with a half-life of 10.3 minutes and an average lifetime of 14.9 minutes, the free neutron decays.

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State if the three numbers can be the measures of the sides of a triangle,6,8,9NoYes Anybody know this is the flu pandemic Can some help me plzzz There were f frogs in a pond. 36 of the frogs hopped away. Write the expression that shows how many frogs are in the pond now. The energy of a machine that is transformed into heat:is destroyedcan always be used for additional workusually cannot do any further workcan be transformed back into mechanical energy a plate moves at a sped of 45 mm/yr. How far will the plate move in 100 years? im going to make a quizzez game but the only way i remember how to share with poeple is by making a class what sould the name be n an arm's length channel system where the supplier/steward exerts little direct control over channel intermediaries, the channel steward may have to resort to performing value-adding activities itself, such as TV advertising, consumer promotions, and so on, so that even before the consumer enters the store, she or he is looking only for the supplier's brand. Which promotional strategy does this discussion describe what is the volume of a cereal box that is 2 inches thick, 12 inches high and 10 inches wide? Someone please answer this Why is the Establishment Clause so important and a part of the constitution?1. The Establishment Clause insures that children receive a religious education.2. The Establishment Clause prohibits association between church and government.3. The Establishment Clause bans the government from forcing a particular religion upon its citizens.4. The Establishment Clause allows individuals to give tax dollars for the support of their church. The salary of the president and vice president were a total of $576,300 a year. If the president makes $203,700 more a year than the vice president, how much does the vice president make?A. $166,300B. $186,300C. $390,000D.$286,000 Read this excerpt from A Black Hole Is NOT a Hole.Certain things are invisible to us because our eyes just can't sense them. You don't see beams of infrared light shooting across the room from your remote control to the TV, for example, or radio waves streaming off everyone's cell phone.What is the most likely reason why the author provides real-life examples in this excerpt?They allow readers to understand how peoples eyes work.They remind readers of how technology affects their own lives.They describe the path of infrared light beams from a remote control to a TV.They help readers connect to the idea that human eyes cannot see everything. Match the letter of the best answer.Column A1.Polonius:Polonius2.Ophelia:Ophelia3.Hamlet:Hamlet4.Claudius:Claudius5.Gertrude:GertrudeColumn Ba.Chastises Hamlet for showing the king disrespecb.Returns keepsakes to a lovec.Arranges the Mouse-trap playd.Hides behind a tapestrye.Unable to pray for forgivenessQuestion 7 (5 points)(There may be more than one correct answer for this question.)In considering Poloniuss death, Hamlet _____. arealizes that the murder will set him packing bsays Polonius deserved his death for being so devious csays that he repents but that he will answer well for murdering himQuestion 8 (5 points)As Hamlet prepares to depart from England with Rosencrantz and Guildenstern, he views them as _____. aconfidants and trusted friends bchildhood friends cuntrustworthy as adders dharmless servants of the KingQuestion 9 (5 points)Before Hamlet meets with Gertrude, he resolves to _____. aconvince her that he is mad over Ophelias rejection bconvince her to help him take revenge on Claudius cconvince her not to reveal his plan dbe cruel but not physically harmful to herQuestion 10 (5 points)Although Hamlet has forced Gertrude to see the wrongfulness of her marriage to Claudius, she thinks Hamlet mad when _____. ahe speaks to the air as if it were his father bhe rants at her che condemns women for making monsters of men dhe threatens her life how was it living in the atomic period Calculate the product below and give your answer in scientific notation.(1.3 x 10-^2) x (0.05) = ? George reads 6 pages of a book each morningand 4 pages of a book each evening,How many pages will he read in seven days? Which statement best summarizes the evolution of US political parties?A. Two political factions began with Thomas Jefferson's presidency, but official political parties didn't begin until the late-1800s.B. Two early political factions developed into political parties in John Adams' presidency, but official parties didn't begin until the early-1800s.C. President Washington headed the first official political party and there have been two parties since that time.D. President John Adams headed the first official political party and there have been two parties since that time. Why may an asthmatic patient produce a wheezing sound and difficulty in breathing PLLSSSSSS HELPPP IF U KNOW HISTORY PLSSS HELPPP 30 POINTSSSSwhy Jerusalem is so sacred and so disputed