A gymnast of mass 64.0 kg hangs from a vertical rope attached to the ceiling. You can ignore the weight of the rope and assume that the rope does not stretch. Use the value 9.81m/s2 for the acceleration of gravity. Part A
Calculate the tension T in the rope if the gymnast hangs motionless on the rope.
Part B
Calculate the tension T in the rope if the gymnast climbs the rope at a constant rate.
Part C
Calculate the tension T in the rope if the gymnast climbs up the rope with an upward acceleration of magnitude 0.800 m/s2 .
Part D
Calculate the tension T in the rope if the gymnast slides down the rope with a downward acceleration of magnitude 0.800 m/s2 .

Answers

Answer 1

The tension T in the rope, if the gymnast hangs stationary on it, is 627.84 N. If a gymnast climbs a rope at an upward acceleration of 0.800 m/s^2, the rope will be under 691.84 N of stress.

If the gymnast slides down the rope at a speed of 0.800 m/s2, the tension T in the rope will be 563.84 N. A force throughout a medium's length is known as tension, particularly a force carried by a flexible medium like a rope or cable. An action-reaction pair of forces acting at each end of the mentioned elements is what is referred to as tension.

T = mg = 64 x 9.81 =627.84 N

T = 627.84 N [as V = Constant, A = 0, and F = 0]

T = m x (g+a) = 64 x 9.81+1 = 691.84 N

T is equal to m x (g-a) = 64 x (9.81 - 1) = 563.84 N

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Related Questions

A ball is projected horizontally with some initial velocity off a cliff 249 meters high It
makes contact with the ground in 5.8 seconds. [Neglect air resistancee.] What is the ball's
initial horizontal velocity? [Show all work, including the equation and substitution with
units.] [2 pts]

Answers

The initial velocity of the ball projected from the cliff is 5.8y m/s.

What is the initial horizontal velocity of the ball?

The ball projected from the cliff undergoes projectile motion.

The initial horizontal velocity of the ball is calculated as follows:

Velocity  = horizontal distance * time taken

The horizontal distance traveled by the ball is not given.

Let the horizontal distance traveled be y

The time taken for the ball to fall = 5.8 seconds

The velocity of the ball = y * 5.8

The velocity of the ball = 5.8y m/s

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A force of 5. 0 n moves a 6. 0 kg object along a rough floor at a constant speed of 2. 5 m/s.

Answers

Answer:

BLACKPINK IN YOUR AREA I AM SO GOOD AT MATH

Explanation:

SO GOOD AT MATH BLACKPINK IN YOUR AREA

two cars collide inelastically and stick together after the collision. before the collision, the magnitudes of their momenta are

Answers

P1+P2, P1-P2 and P2-P1  is the magnitude of their combined momentum.

Before the crash

p₀ = P1 + P2

After crash

pf = (m1 + m2) v

p₀ = pf

P1 + P2 = (m1 + m2) v = Pf

-Car 1 travels to the right

Car 2 =right

Pf = P1 + P2

Car2 = left

Pf = P1-P2

-Car 1 = left

Car 2= right

Pf = -P1 + P2

Car 2 = the left

Pf = -P1 -P2

Momentum is the result of a particle's mass and velocity. A vector quantity with both magnitude and direction is momentum. Isaac Newton's second equation of motion states that the force applied to a particle is equivalent to the time rate of change of momentum.

Any grouping of particles has a momentum equal to the vector sum of their momenta. A modification in one particle's momentum is perfectly balanced by a modification in the momentum of another particle, according to Newton's third law, which states that particles exert equal and opposite forces on one another.

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based only on the variable described for each of the following pairs of individuals, which individuals are most likely to show different facial expressions when experiencing the same emotion?

Answers

The two individuals from different cultures with different rules for displaying emotion are most likely to show different facial expressions while experiencing the same emotion.

How do cultures influence emotional expression?Displaying an emotion can be impacted by culture. The cultures in different countries express the appropriate emotions influenced by display rules. Expressing emotion can form facial expressions and be recognized as a culture. However, differences are found where cultures assign labels and convey emotion.

On the other hand, emotion is not simply expressed through facial expressions. We also convey our emotional reactions through the tone of our voices, varied behavioral patterns, and body language. It is the physical expression of emotion through posture or movement.

For example, the Japanese usually avoid displaying intense communication emotions, whereas Americans do the opposite.

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a student has a small metal sphere that hangs from an insulating string. the student, in seeking to determine the charge on the sphere, brings a positively charged rod near the sphere and finds that the sphere is attracted to the rod. the student then brings a negatively charged rod near the sphere, and finds that the sphere is again attracted to the rod. which of the following conclusions, if any, can be drawn from these results?

Answers

The sphere is again attracted to the rod. The sphere must be empty from an insulating string.

What is the efficiency of an insulator string?

As a result, the string efficiency of a suspension type insulator is defined as "the ratio of voltage across the whole string to the product of voltage across the disc nearest to the conductor and the number of discs in the string." Transmission lines on steel towers are supported by suspension insulators, which isolate the lines from the tower. They are critical to the reliable delivery of power. Suspension insulators are employed in two or more configurations depending on the transmission voltage and usage area. The string is free to swing in any direction, giving the transmission line a lot of flexibility.

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a scale from which a rock is suspended reads 5 n when the rock is out of water and 3 n when the rock is submerged. buoyant force on the rock is

Answers

A rock suspended by a weighing scale weighs 3 N when submerged in water and 5 N out of water. F= N1-N2. Substitute 5N for F1 and 3n for F2 above the expression to get F. F=5N-3N = 2N.

What is the rock's buoyant force?

The weight of the water volume that the submerged object displaces is what creates the buoyant force. The buoyant force is the weight of water that has the same volume as the rock because the boulder is totally submerged. The buoyant force is still present even though the rock is sinking; it is merely smaller than the rock's weight.

What is seen on the weighing scale's reading when the lift accelerates its descent?

Your perceived weight is equal to the normal force. Therefore, when the elevator accelerates upward or downward, you truly feel a little heavier than usual and a little lighter than usual.

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A system comprising blocks, a light frictionless pulley, a frictionless incline, and connecting ropes is shown in the figure. The 9.0-kg block accelerates downward when the system is released from rest. The tension in the rope connecting the 6.0-kg block and the 4.0-kg block is closest to..?

Answers

The tension in the rope connecting the 6.0-kg block and the 4.0-kg block is closest to 42N.

What will the tension be?

From the information, we have obtained three equations for the three unknowns a, T1 and T2:

6a = T1 - 3g

4a = T2 - T1 - 2g

9a = 9g - T2

The third equations gives

T2 = 9g - 9a

Substituting that in the second equation gives:

4 a = 9 g - 9 a - T1 - 2 g

13 a = 7 g - T1

In this case, we have reduced the problem to two equations in two unknowns:

6a = T1 - 3g

13 a = 7 g - T1

Solving further will be:

78 a = 13 T1 - 39 g

78 a = 42 g - 6 T1

Subtracting the second from the first eliminates a:

0 = 19 T1 - 81 g

T1 = 81/19 * g

= 81/19 × 9.8

T1 = 42 N

The tension is 42N.

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A bow wave is produced when a speed boat moves as fast as the waves it produces. faster than the waves it produces. O nearly as fast as the waves it produces. none of the above

Answers

A bow wave is produced when a speed boat moves nearly as fast as the waves it produces.

A bow wave is produced when a speed boat moves. The faster the boat moves, the bigger the bow wave. The bow wave is created by the boat pushing water out of the way.As the water is pushed out of the way, it creates a wave that travels in front of the boat.The wave eventually reaches the shore and can create a dangerous situation for swimmers and people in the water.This displaced water then has to go somewhere, so it creates a wave. The faster the boat moves, the more water it displaces and the larger the wave becomes. Bow waves can be a nuisance for other boats trying to move through the water.They can also be dangerous if they’re large enough.

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When a 3.60 kg object is hung vertically on a certain light spring that obeys Hooke's law, the spring stretches 3.00 cm. (a) If the 3.60 kg object is removed, how far will the spring stretch if a 1.50-kg block is hung on it? cm (b) How much work must an external agent do to stretch the same spring 4.00 cm from its unstretched position?

Answers

The spring will extend 1.25 cm if the 3.60 kg object is removed and a 1.5 kilogram block is hung on it. To stretch the same spring 4.00 cm from its unstretched state, an work for external needs exert 0.9408J of force.

A physical body's mass is its total amount of matter of Inertia, or the body's resistance to acceleration (change of velocity) when a net force is applied, is also measured by this property. The gravitational pull an object has on other bodies is also influenced by its mass.

weight(f) = mg = 35.28N

mass(m) = 3.60 kg

spring constant(k) = F/x = 1176 Nm^-1

Currently, w = 1/2*k*x^2

w = 0.9408J and

mass = 1.50kg

Force = mg = 14.7N x = F/h = 0.0125m x = 0.0125m = 1.25cm.

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A force of 30 newtons and a force of 20 newtons act
concurrently on an object. Which of the following
resultant forces could be produced using these two
forces?

Answers

Answer:

Explanation:

Given:

F₁ = 30 N

F₂ = 20 N

_________

R - ?

If the forces act along one straight line, then 4 combinations are possible:

If the acceleration due to gravity on the Earth is 10m / (s ^ 2) and an gift has a mass of 50 kg, what is the force applied on the object by gravity?​

Answers

Answer: BLACKPINK IN YOUR AREA SO GOOD AT MATH

Explanation:

PERIOD AHH MATH IS AAMAZING

Compared to the distance between earth and mars, the distance between jupiter and saturn is ______.

Answers

The distance between Jupiter and Saturn is much larger.

They are 403.3 million miles apart.

Distance is a numerical or every so often qualitative size of how some distance aside items or factors are. In physics or regular usage, the distance may check with a physical duration or an estimation primarily based on other criteria.

The space between two factors in physical space is the period of an immediate line among them, that's the shortest feasible course.

It reduces the entire international or part of the arena to a small sheet of paper. At the same time as making a map, cartographers pay attention to properly constitute the distance between two locations.

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Jimmy ran 5 meters west from home and then turned north to jog 12 meters. Jimmy ran 17 meters, but could have arrived at the same point by jogging in a straight line. How many meters could he have jogged using a straight line distance?.

Answers

Zero meters could he have jogged using a straight line distance.

Straight-line distance is distance between two point. Here, Jimmy arrived same point, this means that Straight-line distance is zero there is no distance between two points.

A straight line has infinite length. We can never calculate the distance between the two extreme points of the line. A straight line has zero areas, zero volume. but it has infinite length.

Straight-line distance is the distance that you measure with a ruler on a paper map. Straight-line distance does not account for the surface between the two points. It is the distance a bird or airplane would travel between the two points when flying above the surface.

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two conducting cylindrical wires with a diameter of 3 cm and length of 40 cm are made from a metal with a density of 2710 kg/m3 . the wires carry equal but opposite current (the direction given in the diagram) of 7.5 amps and are suspended from a thread of length 25 cm and are 12 cm apart from each other. an external uniform magnetic field of magnitude 3.0 tesla is applied to the system.

Answers

Diameter = 3 cm

Length = 40 cm

Density = 2170 kg/m³

B = 3T

r = 12 cm

Net magnetic field on the wire 1 is

B₁ = B + (μ₀I / 2πr)

B₁ = 3.0000125 T

Net magnetic field on the wire 2 is\

B₂ = B + (μ₀I / 2πr)

B₂ = 3.0000125 T

By newton's second law,

ilB = T sin θ

(πd²l/4)lg = T cos θ

So, tension force on the thread is

T = (ilB₁)₂ + [ (πd²l/4) lg ]²

T = 11.7261398 N

So, sin θ = (ilB₁/T)

θ = 50.13°

Now, the angle created by two threads is

θ = 2θ = 2 x 50.13 = 100.26°

Therefore, the magnetic field wire conducts electricity at a particular angle.

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Planets a and b are both the same size, but planet b has three times the mass of planet a. How does the weight of an object compare on the two planets?.

Answers

A comparison of an object's weight between the two worlds An object's weight is the same on both planets.

Why do objects of the same mass weigh differently on various planets?

The weight of an object is determined by its mass and how strongly gravity pushes on it. How far apart two objects are from one another determines how strong gravity is. Because of this, the same thing weights differently on several planets.

What connection between the planets' weight and sizes do you notice?

The gravity of planets, moons, and stars is the same. Depending on their size, they have different amounts of gravity. Therefore, gravity is different for larger and smaller planets. A human with more mass has greater gravitational pull, just like the planets.

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An object has total energy Ewhen traveling at a speed of 0.70c) The same object has total energy (when traveling at 0.90c) What is the ratio Ea E? O.00 E=mc2=nMo C2 b) 0.8 c) 1.6 d) 2.7 e) 1.3 Ji-

Answers

E1:E2 ratio is 0.60 for an item with total energy E moving at a speed of 0.70c. Total energy of the same thing (when travelling at 0.90c).In order to meet the energy needs of a growing global population.

Total energy  strives to deliver energy that is affordable, dependable, and cleaner. The speed of an object, also known as v in kinematics, is a scalar quantity that refers to the size of the change in that object's position over time or the size of the change in that object's position per unit of time is called as speed.

E = mc^2 = Moc^2/(1-(v^2/c^2))^1/2

for, 0.7c = 1/(1-(0.7^2))^1/2 = 1.4

for, 0.9c = 1/(1-(0.9^2))^1/2 = 2.294

E2/ E1 = 1.4/2.294 = 0.60

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5. Two children, totaling 200 kg, are traveling at 10 m/sec in a 100-kg

bumper car during an amusement park ride. What is the total momentum

of the children and the car?

1,000 kg-m/s

2,000 kg-m/s

O3. 000 kg-m/s

O 4,000 kg-m/s

Option 5

Ooption 6

Answers

Answer: 3,000 kg·m/s

Explanation:

Momentum = p = mv = mass x velocity

p = (200 kg + 100 kg) x (10 m/s) = 3,000 kg·m/s

Use the formula from the video to help you answer this question. Assume you are driving 20 mph on a straight road. Also, assume that at a speed of 20 miles per hour, it takes 100 feet to stop. If you were to increase your speed to 60 miles per hour, your stopping distance is now _____. Group of answer choices.

Answers

Answer: 900  feet

Explanation:

Given Velocity (V₁)=20mph≈29.334 t/s

it take 100 feet to stop

Using Equation of motion

v²-u²=2as

where

v,u=Final and initial velocity

a=acceleration

s=distance moved

0-(29.334)²=2(-a) (100)

a=29.331²/2×100=1.302 t/s²

When velocity is 60 mph

v²-u²=2as

0-(88.002)²=2-(-4.302) (s)

s=900.08 feet

How do you calculate a distance's speed?

Given a distance and the amount of time needed to travel that distance, an object's speed can be calculated using the speed formula. By substituting the known values in the formula for speed and further analyzing, we can also use the speed formula to compute the distance or time.

What are some intriguing issues that the speed formula can be used to solve?

Let's use the speed formula to answer a few intriguing issues. Figure 1: In an hour, a train might go 120 kilometres. Using the speed formula, calculate the train's speed in m/s.

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based on what you know about the solid earth, select all of the correct statements from the following list.

Answers

The solid earth of the correct statements from the following list:

Plate tectonics is driven by heat from Earth's interior.Much of Earth's geologic past is erased by erosion.Earth's magnetic field is produced by its metal core.

Comparative planetary science or comparative planetology is the branch of space and planetary science that studies various natural processes and systems of influences and phenomena on and between multiple celestial bodies.

The four inner planets have short orbits slow rotation no rings and are made of stone and metal. The outer four planets have longer orbits and rotations, gas and liquid compositions, and numerous moons and rings. The outer planets are called gas giants because they are made of hydrogen and helium.

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Which of the following is a vector quantity?
Check all that apply.
speed
time
force
displacement
ternperature
momentum
velocity
acceleration

Answers

Answer:

velocity

Explanation:

7th one is the answer

compare the surface characteristics of venus with those of earth.

Answers

The surface conditions on Venus are more extreme than on Earth, with temperatures ranging from 453 to 473 °C and pressures of 95 bar.

Venus's surface is more hostile than Earth's, with temperatures between 453 and 473 °C and pressures of 95 bar. Venus is devoid of water, which strengthens the crustal rock and preserves surface characteristics. The observed characteristics demonstrate the geological processes at play.

Venus lacks surface water and has a poisonous, thick atmosphere that is nearly completely formed of carbon dioxide and sulphuric acid clouds. The atmospheric pressure at the surface of Venus is almost 90 times greater than that of the Earth at sea level. At a scorching 750 K (477 °C), Venus' surface is the solar system's warmest.

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A principal theory in social psychology is social exchange theory. According to this theory, we will be most likely to help othersA. who have already helped us.B. who are closely related to us.C. when the benefits outweigh the costs.D. for whom we feel empathy.

Answers

Answer:

Explanation:

C. When the benefits outweigh the costs.

Based on what you learned about solar activity, select all of the correct statements from the following list.
The Sun does not rotate.
Solar activity can produce auroras and communication blackouts on Earth.
The solar constant never changes.
Sunspots are cooler areas of the photosphere.
Numbers of sunspots vary in approximately an 11-year cycle.

Answers

Solar activity can produce auroras and communication blackouts on Earth  the correct statements from the following list.

What exactly is solar activity?

A fraction of a second to billions of years are covered by the variations in the sun's magnetic field. Solar activity includes coronal mass ejections, high-speed solar winds, solar energetic particles, and solar flares.

Solar flares, coronal mass ejections, high-speed solar wind, and solar energetic particles are the four primary categories that may be used to categorise solar activity that is related to space weather. Only when a solar flare occurs on the sun's surface facing Earth do they have an effect on our planet.

The occurrence of events like solar flares and coronal mass ejections increases when the sun is active.

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A 12 kg rock falls from a cliff and hits the ground in 4 seconds. Ignoring air resistance, what is the rock's speed just before it hits the ground?

Answers

Answer:

Explanation:

Given:

V₀ = 0 m/s

m = 12 kg

t = 4 s

g = 9.8 m/s²

________

V - ?

Speed:

V = V₀ + g·t

V = 0 + 9.8·4 = 39.2 m/s

Calculate the wavelength (in nm) of light associated with the transition from n=1 to n=3 in the hydrogen atom. [write numerical answer, no units].

Answers

As a result, 1.9351018 J is the energy, frequency, and wavelength of light associated with an electronic transition in a hydrogen atom from the n = 3 to n = 1 level. 1.935 × 10 − 18 J , 2.92×1015 Hz 2.92 10 15 Hertz and 1.026 10 7 meters.

What wavelength does a photon have when it changes from n 3 to n 1?

λ=434 nm.

What is the energy of a photon released during a transition from 3 to n 1?

The photon's energy for the transition from n = 3 to n = 1 is [h = 6 10-34 J - sec].

Is energy transferred from n 1 to n 2 or is it absorbed?

Each photon that the atom emits or absorbs light in discrete packets.

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a quantum dot is a small structure of atoms, usually about a nm in size. consider a quantum dot with a single ground state (with energy e0

Answers

Quantized energy levels and charge states. One wants to create dots as small as 5 nm using 3D metals.

Why do you use the term "quantum dot"?

According to Farré et al. (2011), quantum dots (QDs) are semiconductor nanocrystals with a reactive core that regulates their optical characteristics. These cores are constructed of semiconductors, such as zinc selenide (ZnSe), indium phosphide (InP), cadmium selenide (CdSe), and cadmium telluride (CdTe) (ZnSe).

How may a quantum dot's size affect the light it emits?

The band gap energy level and size of a quantum dot are inversely correlated, which changes the frequency and color of the light emitted. Smaller objects produce more intense, bluer light.

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compared to red light, blue light has higher frequency, compared to red light, blue light has higher frequency, higher energy, and longer wavelength. lower energy, and shorter wavelength. higher energy, and shorter wavelength.

Answers

Compared to red light blue light has a higher frequency and higher energy and shorter wavelength. Option D.

At one end of the spectrum is a red light which has the longest wavelengths. Blue or violet light has the shortest wavelengths. Higher energy means higher frequency. Red light has less energy than other visible light, so it has a lower frequency and a longer wavelength. Red light has a longer wavelength and lower frequency than blue light.

Blue light has a short wavelength and red light has a long wavelength. The shorter the wavelength, the more light is scattered. Since the speed of light is constant, the wavelength is inversely proportional to frequency. Higher frequencies map to shorter wavelengths. Red light has a slightly longer wavelength than blue light.

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distinguish between absorption and emission of energy

Answers

Electrons radiate when their regain their prior energies. Electrons gain energy & ascend into elevated amounts as they absorb energy.

What is the process of absorption?

The process of absorption is how the blood takes in the byproducts of digestion so that it can supply the rest of the body. The mucus allows again for passage of a digested materials into to the lymphatic system or blood during absorption. The following mechanisms allow for absorption. basic diffusion

What are the 4 types of absorption?

Characteristics of absorption and digestion in general. Gastrointestinal products are absorbed through four different mechanisms: exocytosis, passive diffusion, simple diffusion, or endocytic.

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why does white light from the sun form a colorful rainbow when it passes through water droplets in the atmosphere?[rainbow] athe droplets of water in the air have different densitiesincorrect answer bdifferent-sized water droplets refract white light at different anglesincorrect answer cthe colors that make up white light refract at different anglesincorrect answer dwhite light diffracts when it encounters water

Answers

In a case of rainbow when sunlight hits a raindrop it does not move as fast through the water as it does through the atmosphere, so it bends a little.

The light then turns again as it moves out of the raindrop and back into the air at its original speed. When light hits the rain at just the right angle, it is refracted through a raindrop and into our eyes, causing us to see rainbow.

Longer wavelengths are bent at larger angles, so longer wavelengths are bent less than shorter wavelengths. When sunlight hits a raindrop, the red-light waves are bent at an angle 42 degrees from their original direction from the sun. Shorter wavelengths are only bent at an angle of 40 degrees.

A typical raindrop is also spherical and therefore its effect on sunlight is symmetrical about an imagined axis connecting the center of the drop and the sun. The higher the sun in the sky, the less of a rainbow is visible above the horizon.

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For general projectile motion with no air resistance, the horizontal component of a projectile's velocity
A. remains a non-zero constant
B. continuously decreases
C. continuously increases
D. first decreases and then increases
E. remains zero

Answers

The horizontal component of a projectile's velocity remains non-zero constant for general projectile motion without air resistance. Projectile motion is the motion of an item as defined in physics.

Within the gravitational field. Projectile motion is exemplified by the upward vertical toss of a body. The air resistance that a body experiences during projectile travel is disregarded, leaving only the gravitational force to act on the body. A moving object's velocity is a function of time and measures how quickly its position changes in relation to a frame of reference. When an object is moving, its speed and direction are specified by its velocity. When an object moves, its location in relation to its environment changes.

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