a spring is hanging from the ceiling. attaching a 500 g mass to the spring causes it to stretch 21.0 cm in order to come to equilibrium. part a what is the spring constant? express your answer to three significant figures and include the appropriate units. activate to select the appropriates template from the following choices. operate up and down arrow for selection and press enter to choose the input value typeactivate to select the appropriates symbol from the following choices. operate up and down arrow for selection and press enter to choose the input value type

Answers

Answer 1

The spring constant (k) is 23.8 N/m.

To find the spring constant, you can use Hooke's Law, which states that F = k * x, where F is the force applied to the spring, k is the spring constant, and x is the displacement from equilibrium. The mass (m) is 500 g or 0.5 kg, and the displacement (x) is 21.0 cm or 0.21 m.

To calculate the force (F), use the equation F = m * g, where g is the acceleration due to gravity (9.8 m/s^2). F = 0.5 kg * 9.8 m/s^2 = 4.9 N. Now, rearrange Hooke's Law to solve for k: k = F / x. k = 4.9 N / 0.21 m = 23.3333 N/m.


Summary: Given a 500 g mass and a displacement of 21.0 cm, the spring constant is 23.8 N/m, rounded to three significant figures.

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Related Questions

Resulting from past and current geoscience processes, Earth's mineral, energy, and groundwater resources are unevenly distributed. As humans continue to remove these limited and often non-renewable resources, their distributions significantly change. This map shows some of the world's major tectonic plate boundaries. Volcanic and hydrothermal activity occur as a result of the energy released along these boundaries, creating an ideal environment for the concentration of minerals. Which statement provides another rationale for higher mineral concentrations near plate boundaries compared other parts of the world? A) The speed of mineral formation is increased by the high levels of groundwater found at plate boundaries. B) Sediment from erosion usually deposits near plate boundaries, and volcanic activity causes it to form minerals. C) Rocks with high mineral concentrations buried deep in the mantle can be pushed near the surface as plates move. D) The magnetic pull of Earth's mantle is strongest at plate boundaries, pulling minerals in Earth's crust toward them.

Answers

Answer:

C

Explanation:

Rocks with high mineral concentrations buried deep in the mantle can be pushed near the surface as plates move

Statement provide another rationale for higher mineral concentrations near plate boundaries is rocks with high mineral concentrations buried deep in the mantle can be pushed near the surface as plates move.

What is mineral?

A mineral is an inorganic element or compound that occurs in nature and has a recognizable chemical composition, crystal structure, and physical characteristics. Quartz, feldspar, mica, amphibole, olivine, and calcite are examples of common minerals.

A body of undifferentiated mineral materials or an amalgamation of one or more minerals is referred to as a rock. Granite, basalt, limestone, and sandstone are typical rocks.

The higher mineral concentrations near plate boundaries is rocks with high mineral concentrations buried deep in the mantle can be pushed near the surface as plates move.

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Which statement accurately describes current electricity?

Answers

Current electricity is caused by flowing negatively charged particles.

How far must I compress a spring with spring constant 573N/m to produce a force of 184N? Express your answer to the nearest hundredth

Answers

compressed0.32 meters

Explanation

Step 1

The force exerted by a spring on objects attached to its ends is proportional to the spring's change in length away from its equilibrium length and is always directed towards its equilibrium position.

\(F=-kx.\)

so

let

\(\begin{gathered} k=573\text{ }\frac{\text{N}}{m} \\ F=184\text{ N} \end{gathered}\)

replace and solve for x

\(\begin{gathered} F=-kx \\ 184=-573\frac{N}{m}\cdot x \\ divide\text{ both sides by 573 N/m} \\ \frac{184}{-573\frac{N}{m}}=\frac{-573\frac{N}{m}\cdot x}{-573\frac{N}{m}} \\ -0.32\text{ m=x} \end{gathered}\)

the negative symbol indicates the spring is compresed

so, the answer is

0.32 meters

I hope this helps you

Instructions: Answer the following questions in the space provided. Be sure to write your responses in complete sentences.
A father pushes his daughter and son on a sled down a hill.

Part A: Other than the force exerted by the father pushing the sled, identify two additional forces that act on the sled as it travels from the top of the hill to the bottom. (2 pts)
Part B: Explain how each force you identified in Part A will affect the motion of the sled. (2 pts)

Answers

a) Two other forces that act on thee sled are the weight of the daughter and the drag force

b) The drag force slows down the sled while the weight presses it down.

What is motion?

We know that motion is the result of the action of unbalanced forces. From the Newton's third law, we know that if the forces that are acting on an object are balanced that the object is not going to move from its state of rest.

In this case, we are told that a  father pushes his daughter and son on a sled down a hill. The fact that the led is moving is due to the fact that there are forces that are acting on the sled.

The forces that are acting on the sled apart  from the force that was applied in pushing the sled is the drag force and the weight of the son.

The drag force would determine how fast that the sled would move because it acts in opposition to the forward force and tries to slow down the sled as it is moving. The weight of the son does press the sled downwards.

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what is the magnitude of vector A?

what is the magnitude of vector A?

Answers

The correct answer is 8.32

Typically, astronomers express the right ascension of a star on the sky in what units?.

Answers

Typically, astronomers express the right ascension of a star on the sky in hours, minutes, and seconds.

The positions of the stars in relation to one another are largely constant. Orion and Taurus are constantly converging. Draco is always near Ursa Minor. When we look at the sky, the stars are a never-ending backdrop painting that barely move in relation to one another.

There are some minute movements as we orbit the sun throughout the year. Stars closer to us move more left and right than stars farther away. It makes sense, even if it only has a small impact. If you keep your eyes fixed out into the distance as you walk down the street, you'll notice that objects farther away move less in relation to you than ones closer to you.

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This question is divided into two parts. This is part (a) of the question. A proton accelerates from rest in a uniform electric field of 580 N/C. At some later time, its speed is 1.00 x 106 m/s. (a) Find the magnitude of the acceleration of the proton. (Mass of the proton is 1.67 x 10-27 kg and charge is 1.60 x 10-19 C) (in the following options 10^10 m/s^2 is 1010 m/s2)

Answers

Answer:

The acceleration of proton is 5.56 x 10^10 m/s^2 .

Explanation:

initial velocity, u = 0

Electric field, E = 580 N/C

final speed, v = 10^6 m/s

(a) Let the acceleration is a.

According to the Newton's second law

F = m a = q E

where, q is the charge of proton and m is the mass.

\(a= \frac{q E}{m}\\\\a = \frac{1.6\times10^{-19}\times 580}{1.67\times 10^{-27}}\\\\a= 5.56\times 10^{10} m/s^2\)

The force of attraction between the same kind of molecules is called _______ and between different kinds of molecules is called _______.A.force of cohesion, force of adhesionB.force of adhesion, force of cohesionC.force of attraction, force of cohesionD.force of cohesion, force of attraction

Answers

The correct option is B, The force of attraction between the same kind of molecules is called force of adhesion and between different kinds of molecules is called force of cohesion.

The force of cohesion refers to the attractive force between molecules of the same substance, such as water or mercury. This force arises from the intermolecular interactions that occur between the molecules, including hydrogen bonding, dipole-dipole interactions, and van der Waals forces.

Cohesion is responsible for several physical properties of liquids, such as surface tension, viscosity, and capillary action. Surface tension is the result of the cohesive forces between the liquid molecules at the surface, which causes the surface to behave like a stretched elastic sheet. Viscosity is the resistance of a liquid to flow and is dependent on the strength of the intermolecular forces between the molecules. Capillary action occurs when a liquid is drawn up into a narrow tube, such as a plant stem or a thin straw, due to the cohesive forces between the liquid molecules.

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What is the best definition of profit?

Answers

Answer:

Excess currency after a series of deals or fees.

Explanation:

Let's put profit in perspective by using an example. For example, let's say you spend 72 dollars to build a certain product, then you sell that same product to your friend for 116 dollars. It costed 72 dollars to build that product and you sold it for 116, after subtracting the costs for building the product the excess currency is what you would call profit. Profit is your overall goal when running a business, you want to sell a product and make profit from it.

Hope this helps.

profit is your gain on any problem,situation or opportunity given to you

A light bulb has a resistance of 800 ohms. The current going through the bulb is 0.15 A. What is the potential difference across the light bulb?

A) 12 V
B) 5333 V
C) 120 V
D) 53.33 V

Answers

Answer:

120 V

Explanation:

v=i*r

v=0.15*800

v=120

the outside diameter or side dimension of the vibrating element must be at least 19 mm but not greater tan 38 mm. true or false

Answers

The outside diameter or side dimension of the vibrating element must be at least 19 mm but not greater than 38 mm is true. A vibration sensor is a system that is used to identify the condition of machinery and prevent it from being harmed. It keeps track of vibrations in the machinery and sends an alert if it exceeds a set threshold.

A sensor that detects vibrations in the environment or within a physical structure is known as a vibration sensor. Vibration sensors are commonly utilized in the maintenance of rotating equipment like pumps, motors, and other machinery to predict failure before it happens.

Based on the vibration being observed, these sensors may detect a range of defects, from unbalance and misalignment to bearing wear and looseness.

The outside diameter or side dimension of the vibrating element must be at least 19 mm but not greater than 38 mm. Hence, the given statement is true. This size range is important for the sensor to be able to pick up on the machinery's small vibrations and changes.

Anything smaller than 19 mm will not detect vibrations with the same precision, and anything larger than 38 mm will be more difficult to install in tight locations.

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Please help me In this question

Please help me In this question

Answers

Answer:

50 N

Explanation:

We are given;

Force on larger piston; F2 = 5000 N

Ratio of diameter of smaller piston to larger piston = 1:10

Now, formula for force on smaller piston which we will denote with F1 is gotten from;

F1 = F2 × A1/A2

Now, A1 = π(d1)²/2

A2 = π(d2)²/2

Thus:

F1 = F2 × (π(d1)²/2)/(π(d2)²/2)

This gives;

F1 = F2 × (d1/d2)²

Plugging in the relevant values;

F1 = 5000 × (1/10)²

F1 = 50 N

are atoms the smallest living organisms

Answers

Answer:

yes

Explanation:

The atom is the smallest and most fundamental unit of matter. All living things are made of cells the cell itself is the smallest fundamental unit of structure and function in living organisms.

have great day!!

are atoms the smallest living organisms

Answer:

yes

Explanation:

Atoms are the smallest particles of matter that cannot break down further.

The Sun constantly undergoes explosions called solar eruptions. When a solar eruption happens, satellites capture images of bright flashes of light called solar flares. Solar eruptions emit more energy than millions of megaton hydrogen bombs. Space is a vacuum and void of any matter.

Answers

The sound of solar eruptions cannot be heard on earth, because they cannot travel through space, as there is no medium.

The colliding, crossing, or reorganisation of magnetic field lines close to sunspots results in solar eruptions, which are rapid explosions of energy.

It is very dense on the Sun's surface. It contains electrically charged gases, which produce magnetic fields with strong magnetic forces in certain regions.

As there is no physical medium in space, where the sound of explosions is meant to travel. However, we are aware that sound cannot travel in a vacuum and needs a medium for propagation.

As a result, we cannot hear the explosions that are taking place in the Sun.

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Your question was incomplete, but most probably your question would be:

The Sun constantly undergoes explosions called solar eruptions. When a solar eruption happens, satellites capture images of bright flashes of light called solar flares. Solar eruptions emit more energy than millions of megaton hydrogen bombs. Space is a vacuum and void of any matter. Write a scientific explanation on why we don't hear solar eruptions on Earth.

Cuộn dây có N = 1000 vòng, mỗi vòng có diện tích S = 20 cm2 đặt trong một từ trường đều. Trục của cuộn dây song song với vectơ cảm ứng từ của từ trường. Cho độ lớn B biến thiên, người ta thấy có suất điện động cảm ứng eC = 10V được tạo ra. Độ biến thiên cảm ứng từ là bao nhiêu trong thời gian ∆t = 10-2 s

Answers

sorry i don’t understand would love to help tho !

6. Find the magnetic field strength at the centre of a solenoid with
5000 turns and current of 5 A. The permeability of free space i
471 x 10-7 H/m.​

Answers

Answer:

0.03 T

Explanation:

The magnetic field B at the center of a solenoid is given by B = μ₀Ni/L where

μ₀ = permeability of free space = 4π × 10⁻⁷ H/m, N = number of turns of solenoid = 5000 turns, i = current in solenoid = 5 A and L= length of solenoid. Since we are not given length of solenoid, let us assume it is 1 meter. So, L = 1 m

So, B = μ₀Ni/L

=  4π × 10⁻⁷ H/m × 5000 turns × 5 A/1m

= 4π × 10⁻⁷ H/m × 25000 A-turns/m

= 314159.27 × 10⁻⁷ T

= 0.031415927 T

≅ 0.03 T

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Help!!!plz, Help!!!plz, Help!!!plz, Help!!!plz, Help!!!plz, Help!!!plz, Help!!!plz, Help!!!plz, Help!!!plz,

Answers

I think it’s b but I’m not 100 percent sure

13.2.2 7+6 - 9(-2)+(-3)​

Answers

Answer:

34.27 is the answer

A prism with a volume of 450 ft³ is dilated by a factor of 2. what is the volume of the dilated prism? enter your answer in the box. ft³

Answers

The volume of the dilated prism (with a volume of 450 ft³ is dilated by a factor of 2) = 3600 ft³

The volume of the dilated prism will be 8 times the volume of the original prism. This is because the volume of a prism is related to its linear dimensions by the formula:

V = lwh

Where.

V is the volume

l is the length

w is the width, and

h is the height.

When a prism is dilated by a factor of 2, each of its linear dimensions is multiplied by 2, so the volume will be multiplied by 2³, or 8.

Therefore, the volume of the dilated prism will be 450 ft³ × 8

= 3600 ft³.

So the answer is 3600 ft³.

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the guy above me is correct^^

the answer is: 3600

yw<33

A prism with a volume of 450 ft is dilated by a factor of 2. what is the volume of the dilated prism?

orie wants to start her own business making custom furniture. She can purchase a factory that costs $400,000. Korie currently has $500,000 in the bank earning 3 percent interest per year. Refer to Scenario 13-1. Suppose Korie purchases the factory using $200,000 of her own money and $200,000 borrowed from a bank at an interest rate of 6 percent. What is Korie's annual opportunity cost of purchasing the factory

Answers

Korie's annual opportunity cost of purchasing the factory is $6,000.

To calculate Korie's annual opportunity cost of purchasing the factory, we need to consider the interest she could have earned on the $200,000 she used to purchase the factory. This interest is the opportunity cost.

Korie currently has $500,000 in the bank earning 3 percent interest per year. If she uses $200,000 of her own money to purchase the factory, she forfeits the opportunity to earn interest on that amount.

The annual opportunity cost can be calculated as:

Opportunity cost = Amount invested * Interest rate

Opportunity cost = $200,000 * 3% = $6,000

Therefore, Korie's annual opportunity cost of purchasing the factory is $6,000.

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Calculate, with the assistance of Eq. [10] (and showing intermediate steps), the Laplace transform of the following: (a) 2.1u(O): (b) 2u(t - 1); (c) 5u(t 2)- 2u(t: (d) 3u(t - b), where b>0. 11. F(S) =| e-st f(t) dt 0-

Answers

I'll help you with the Laplace transform calculations using the given terms: "assistance," "transform," and "Laplace." Here are the Laplace transforms of the given functions:

a) Function: 2.1u(t)
Laplace Transform: F(s) = 2.1/s

b) Function: 2u(t-1)
Laplace Transform: F(s) = 2e^(-s)/s

c) Function: 5u(t+2) - 2u(t)
Laplace Transform: F(s) = 5e^(2s)/s - 2/s

d) Function: 3u(t-b), where b>0
Laplace Transform: F(s) = 3e^(-bs)/s

These Laplace transforms were calculated with the assistance of Eq. [10], which represents the general formula for Laplace transforms: F(s) = ∫(e^(-st)f(t)dt) from 0 to ∞.

To calculate the Laplace transform of the given functions, we will use the formula:

F(s) = ∫[0, ∞) e^(-st) f(t) dt

(a) For the function 2.1u(0), we have:

F(s) = ∫[0, ∞) e^(-st) 2.1u(0) dt
    = 2.1 ∫[0, ∞) e^(-st) u(0) dt
    = 2.1 [e^(-s0)/(-s)]
    = 2.1/s

(b) For the function 2u(t - 1), we have:

F(s) = ∫[0, ∞) e^(-st) 2u(t - 1) dt
    = 2 ∫[1, ∞) e^(-st) dt
    = 2 [e^(-s)/(-s)]
    = -2/s(e^(-s) - 1)

(c) For the function 5u(t^2) - 2u(t), we have:

F(s) = ∫[0, ∞) e^(-st) (5u(t^2) - 2u(t)) dt
    = 5 ∫[0, ∞) e^(-st) u(t^2) dt - 2 ∫[0, ∞) e^(-st) u(t) dt

To solve the first integral, we will substitute t^2 = x, dt = (1/2x^(1/2))dx:

F(s) = 5 ∫[0, ∞) e^(-s(x^(1/2))) (1/2x^(1/2)) dx
    = (5/2) ∫[0, ∞) x^(-1/2) e^(-s(x^(1/2))) dx
    = (5/2) s^(-3/2) ∫[0, ∞) x^(1/2) e^(-x) dx
    = (5/2) s^(-3/2) Γ(3/2)
    = (5/4) s^(-3/2) π^(1/2)

To solve the second integral, we will use the formula u(t) = 1 - u(-t):

F(s) = 5/4 s^(-3/2) π^(1/2) - 2 ∫[-∞, 0] e^(-st) (1 - u(-t)) dt
    = 5/4 s^(-3/2) π^(1/2) + 2 ∫[0, ∞) e^(st) (1 - u(t)) dt
    = 5/4 s^(-3/2) π^(1/2) + 2 [∫[0, ∞) e^(st) dt - ∫[0, ∞) e^(st) u(t) dt]
    = 5/4 s^(-3/2) π^(1/2) + 2 [s^(-1) - F(s)]

Substituting the values of F(s) and simplifying, we get:

F(s) = (5/4) s^(-3/2) π^(1/2) + (2s - 2)/(s^2 + 1)

(d) For the function 3u(t - b), we have:

F(s) = ∫[0, ∞) e^(-st) 3u(t - b) dt
    = 3 ∫[b, ∞) e^(-st) dt
    = 3 [e^(-sb)/(-s)]
    = -3/(s e^(sb))

Therefore, the Laplace transforms of the given functions are:

(a) F(s) = 2.1/s
(b) F(s) = -2/s(e^(-s) - 1)
(c) F(s) = (5/4) s^(-3/2) π^(1/2) + (2s - 2)/(s^2 + 1)
(d) F(s) = -3/(s e^(sb))

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(c) __________ ___________ The Horse in Motion . (c) __________________ _______________________famous series of photographs documenting a horse in motion were made possible by a number of cameras placed side by side as a horse broke each wire.

Answers

Eadweard Muybridge(The horse in motion)

How was the horse in motion created?

The horse in motion created by Cameras took stills at evenly-spaced points on a horseracing track to create the illusion of continuous motion.

The series became the first example of chronophotography, an early method to photographically record the passing of time, mainly used to document the different phases of locomotion for scientific study. It formed an important step in the development of motion pictures for years to come.

Therefore,

Eadweard Muybridge (The horse in motion),

Horse in motion  is a famous series of photographs documenting a horse in motion were made possible by a number of cameras placed side by side as a horse broke each wire.

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What is the chemical formula of the molecules

What is the chemical formula of the molecules

Answers

Answer:

C2H5OH

Explanation:

. Check corbon number then hydrogen number then you have to see functional group.

Question 1. Change in the shape or volume of rocks is
Group of answer choices Faulting Stress Folding Deformation
2.
Stress is ________ . Strain is ________ .
Group of answer choices
The deformation;

Answers

1) Change in the shape or volume of rocks is Deformation

2) Stress is the deforming force. Strain is the deformation.

What is the change called?

Deformation is the term denoting a change in a rock's volume or shape. Geological processes including tectonic forces, compression, tension, and shearing are just a few that can cause it. Rocks may fold, fault, or fracture as a result of deformation, resulting in the production of geological features as mountains, valleys, and fault lines.

Stress is the term used to describe the internal pressure or force that external pressures apply to a material. It is the force acting on the substance per unit area. The distortion that takes place in a material when it is stressed is measured by strain.

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A 10,300 kg railroad car traveling at a velocity of 19 m/s strikes a second boxcar at rest. If the two cars stick together and move off with a velocity of 6 m/s, what is the mass of the second car?

Answers

The mass of the second box car from the calculation is  22317 Kg.

What is the mass of the second car?

We have to note that we can be able to obtain the momentum as the product of the mass and the velocity of the object that is to be studied. In the case of the cars that we have here;

The momentum before Collison = Momentum after collision

We would then have from the question;

(10300 * 19) + (M * 0) = (10300 + M) * 6

Let the mass of the second box car be M

Then;

195700 = 61800 + 6M

M = 22317 Kg

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The corona
A.
emits the Sun's visible light that we see.
B.
is the outermost layer of the Sun's atmosphere.
C.
is a dark spot on the Sun's photosphere.
D.
is the Sun's deepest interior layer.

Answers

Answer:

B

Explanation:

It’s B. Is the outermost layer of the sun’s atmosphere.
:)

A 15 kg child slides down a 5 m tall (vertical) slide that is inclined to the horizontal 34°. Her velocity is 5 m/s at the bottom of the sled. How much mechanical energy was lost to friction?

Answers

ANSWER

547.5 J

EXPLANATION

Given:

• The child's mass, m = 15 kg

,

• The height of the slide, h = 5 m

,

• The velocity of the child at the bottom of the slide, v = 5 m/s

Find:

• The loss of mechanical energy due to friction

The loss of mechanical energy due to friction is the difference between the child's gravitational potential energy at the top of the slide, and the child's kinetic energy at the bottom of the slide,

\(PE-KE=mgh-\frac{1}{2}mv^2\)

Replace the known values and solve,

\(PE-KE=15kg\cdot9.8m/s^2\cdot5m-\frac{1}{2}\cdot15kg\cdot5^2m^2/s^2=735J-187.5J=547.5J\)

Hence, 547.5 Joules of energy were lost due to friction.

how do stars like the sun primarily transport newly formed elements into the interstellar medium?

Answers

Stars like the Sun primarily transport newly formed elements into the interstellar medium through a process called stellar winds and, in more massive stars, through supernova explosions.

How do we explain?

Stars are known to  undergo nuclear fusion in their cores, where they convert lighter elements into heavier ones. This fusion process releases energy and creates new elements, such as helium, carbon, oxygen, and so on. Over millions or billions of years, these newly formed elements accumulate in the stellar interiors.

In the case of stars like the Sun, which are of moderate mass, they eventually enter the later stages of their lives known as the red giant phase.

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what Kinetic Energy is the energy of
matter.

Answers

Answer:

States of Matter and Kinetic Theory Theory of Kinetic Molecular Dynamics Kinetic energy is the energy possessed by an object as a result of its motion. The Kinetic Molecular Theory explains how molecules interact and how much energy they have. This idea is based on three different matter theories.

Explanation:

here ye go!

To determine the speed of a wave, what two measurements do you need to know?

Answers

Wave speed is related to wavelength and wave frequency by the equation: Speed = Wavelength x Frequency. This equation can be used to calculate wave speed when wavelength and frequency are known.

Other Questions
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