The figure shows four identical conducting spheres that are actually well separated from one another. Sphere W (with an initial charge of zero) is touched to sphere A and then they are separated. Next, sphere W is touched to sphere B (with an initial charge of -28e) and then they are separated. Finally, sphere W is touched to sphere C (with an initial charge of 44e), and then they are separated. The final charge on sphere W is 22e. What multiple of e gives the initial charge on sphere A?

The tension between the cars when the train's speed is constant will be zero and when the train is accelerating then there will be more tension between first two cars than last two.

The coupling's tension T is equal to the force is used against it. It moves in the opposite direction of the force being applied. The acceleration will be 0 while the train is running at constant speed. Thus, there is tension at the value of the two specified cars will be zero.

The link between the vehicles feels tension as the train accelerates. Assume the train has n number of cars for the sake of clarity. T1 and T2 refer to the tension at the first two and last two cars, respectively.

Let m represent the car's mass. Due to its need to draw the (n-11) masses, the coupling between the first two vehicles is under the most strain. Consequently, there is tension on the coupling between first two vehicles are,

T₁= (n-1)ma

However, because they are only required to pull the final two cars, there is no friction between them. Hence,

T= ma

As a result, there is more tension between the first two cars than the last two.

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The power (in watts) generated by the man, given that he lifts a 19 Kg barbell 0.6 m above his head in 0.5 sec is 223.44 W

Power can be defined as the rate at which work is done. The mathematical representation of power is given below:

Power (P) = work (W) / time (t)

But

Work = mass (m) × acceleration due to gravity (g) × height (h)

Therefore,

P = mgh / t

Using the above formula, we can obtain the power generated by the man as follow:

P = mgh / t

P = (19 × 9.8 × 0.6) / 0.5

P = 111.72 / 0.5

P = 223.44 W

Thus, we can conclude that the power generated is 223.44 W

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Ukrainian Sergei Bubka mass is 79.8 kJ t the midpoint of his jump.

What is mass?

Mass can be experimentally defined as a measure of the body's inertia, meaning the resistance to acceleration (change of velocity) when a net force is applied.

h=6.13 meters

mg=9.81 m/s2

PEg= 4.80  ×10^3J

The mas is Unknown=

We will Use the equation for gravitational potential energy, and rearrange it to solve for mass

Therefore  PEg = mgh

mass = PEg / gh

mass =  4.80  ×10^3 / 9.81  x 6.13

mass = 79.8 kJ

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A nuclear accident would most likely result in the release of fission products from the containment building, which is designed to contain radiation from a nuclear accident.

Radiation is the emission or transmission of energy in the form of electromagnetic waves (such as gamma rays and X-rays), particles (such as alpha particles and beta particles), or acoustic waves (such as ultrasound). Radiation is a form of energy that is all around us, in the air we breathe, the food and water we consume, and even in our own bodies. Different types of radiation have different properties and effects on living organisms. Types of radiation include ionizing radiation, which can cause cell damage and can be hazardous to living organisms, and non-ionizing radiation, which is generally considered harmless.

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The voltage across the inductor is 69.82V

In an RL series circuit connected to an AC source, the voltage across the resistor and the voltage across the inductor are in phase with each other.

This means that the voltage across the resistor and the voltage across the inductor will have the same frequency and will be in the same phase. Since we know the voltage across the resistor is 85 V, the remaining voltage must be across the inductor.

The voltage across the inductor is equal to the total voltage from the AC source minus the voltage across the resistor, so the voltage across the inductor is

110V = [tex]\sqrt{VR2^{2}+VL2^{2} } \\\sqrt{85V^{2}+VL2^{2} } \\V_{L2} = \sqrt{110V^{2}- 85V^{2} } = 69.82V[/tex]

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To solve this problem, we can use the equations of motion for projectile motion. Since the dart is thrown horizontally, we know that there is no vertical velocity and that the only acceleration acting on the dart is gravity, which is 9.8 m/s^2 downward.

The vertical motion of the dart can be described by the equation:

y = y0 + v0t + 0.5at^2

where y is the vertical position of the dart, y0 is the initial vertical position (which is 0 in this case), v0 is the initial vertical velocity (which is also 0), t is the time of flight, and a is the acceleration due to gravity.

To find the time of flight, we can use the horizontal motion of the dart, which is described by the equation:

x = x0 + v0t + 0.5at^2

where x is the horizontal position of the dart, x0 is the initial horizontal position (which is 0), v0 is the initial horizontal velocity (which is 12 m/s), and t is the time of flight.

We know that the horizontal position of the dart is 2.7 m, so we can substitute that into the equation and solve for t:

2.7 = 0 + 12t

t = 2.7/12 = 0.225 seconds

We can then substitute t and a into the vertical motion equation to find the vertical position of the dart:

y = 0 + 0 + 0.5(9.8)(0.225^2)

y = -0.061 m

So the dart hits 0.061 m below the intended target.

The magnitude of the total displacement, in km, is 25.3 km, and  the direction of the displacement, measured in degrees west of north, is 125.76 degrees.

A. The magnitude of the total displacement, in km, is 25.3 km. This is calculated by using the Pythagorean theorem, where a2 + b2 = c2. The first two legs of the displacement are a and b, where a = 6.99 and b = 11.88. So,

a2 + b2 = 6.992 + 11.882

= 162.42 + 140.24 = 302.66.

The square root of 302.66 is 17.36. The third leg of the displacement is c, where c = 7.43. So, the total displacement is 17.36 + 7.43 = 24.79 km. Rounding to the nearest tenth, the magnitude of the total displacement is 25.3 km.

B. The direction of the displacement, measured in degrees west of north, is 125.76 degrees. This is calculated by using the Law of Cosines, where c2 = a2 + b2 - 2ab cos(C). The sides of the triangle are a = 6.99, b = 11.88, and c = 7.43. The angle C is the direction of the displacement, so we can solve for C in terms of a, b

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When blocks are forced together, they compress a massless spring between them, storing 0.75 J of potential energy in the process.

Potential energy in physics is the energy that an object retains as a result of its position in relation to other objects, internal stresses, electric charge, or other elements. Potential energy is a form of stored energy that is dependent on the relationship between different system components. When a spring is compressed or stretched, its potential energy increases.

Here,

let velocity of A be uf.

Maui+Mbvi=Mauf+Mbvb

0=1*uf+2*0.5

uf=-1 m/s

PE=ΔKE

=1/2*Ma*uf²+1/2*Mb*vf²

=1/2*1*1²+1/2*2*0.5²

PE=0.75 J

When blocks are forced together, a massless spring between them is compressed, storing 0.75 J of potential energy.

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complete question:

Block A in the figure has a mass of 1 kg and block B has a mass of 2 kg. The blocks are forced together compressing a mass-less spring between them and the system is released from rest on a level friction less surface. The spring is not fastened to either of the blocks, when spring regains its natural length, block B acquired a speed of 0.5 m/s. How much potential energy was stored in the compressed spring?

B) 1√γg tan−1(√γ/g) v0 is the time taken by the ball to rise to its zenith (maximum height).

As an outcome of collisions among moving objects and the molecules of a fluid like air or water, drag is a force that hinders or resists motion. Even though it inhibits motion like surface friction does, drag only occurs in flowing fluids. Drag is a force acting against the relative movement of any moving object with relative to a surrounding fluid in fluid dynamics. It is sometimes alluded to as fluid friction, air resistance, or another sort of friction.

-(g + γv^2) = dv/dt

=> -gdt = g/γ (dv/ (g/γ+v^2))

integration 0=>t ; vo => 0=>

=> -gt = -√g/γ tan^-1(vo/√gγ)

=> t= 1√γg tan−1(√γ/g) v0

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A ball is thrown upward with an initial velocity vo from the surface of the earth. The motion of the ball is affected by a drag force equal to mγv2 (where, m is mass of the ball, v is its instantaneous velocity and γ is a constant). Time taken by the ball to rise to its zenith (maximum height) is

A) 1√2γg tan−1(√2γ/g) v0

B) 1√γg tan−1(√γ/g) v0

C) 1√γg  sin−1(√γ/g) v0

D) 1√γg ln(1+√γ/g) v0

Charge multiplied by potential difference equals the decrease in potential energy (equation 20-2). The gain in thermal energy reflects the gain in potential energy, and this can be used to calculate the speed.

Potential Energy depletes in the direction of the gravitational force, which is the conservative force operating on the body in this instance. As a result of the fact that gravity always pulls something downward, a body's potential energy increases when it rises and decreases when it falls.

This energy that is held in an object as a result of its position in relation to a zero position is known as potential energy, to put it simply. If an object is placed at a height below (or below) the zero height, it has gravitational potential energy.

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Answer:

6. 2/7

Explanation:

It's true

Answer:

W = 90 kg* 9.8 m/s^2 = 882 N      apparent weight of stretcher and occupant

F = M a      straightforward application of Newton's Second Law

F = (940.5 - 882) a

a = .65 m/s^2      acceleration of stretcher and occupant

The temperature after t hours is given by the equation  T(t) is 2 + 78e-0.5955t

That a piece of pizza that was 80 degrees at the time was put inside a freezer that was 2 degrees at the time. if the pizza cools to 45 degrees in 1 hour, then its temperature after t hours is given by the equation: dT/dt = k(T - 2

Put the variables apart: [1/(T-2)]

dT = kdt

Integrate the two sides as follows: ln l T-2 l = kt + C

ekt + C = l T - 2 l

T - 2 equals eCekt

To obtain T(t) = 2 + Cekt = temperature in t hours, rename eC to C.

2 + Cek(0) = 80 since T(0) = 80.

C = 78

T(t) = 2 + 78ekt

T(1) = 45, therefore 2 + 78ek = 45

78ek = 43

ek = 0.5512821

k = ln(0.5512821) = -0.5955

T(t) = 2 + 78e-0.5955t

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As a result, the force is pointed 72.5 degrees above the horizontal. The resulting force given to an item is precisely proportional to the object's mass and acceleration, according to Newton's second law of motion.

If a force of size F = 15 N is applied at an angle from the horizontal, its horizontal component is F cos and its vertical component is F sin.

Given is the horizontal component, F cos = 4.5 N 15 N. cos = 4.5 N, cos = 0.3, cos = cos1 0.3, and cos = 72.5°

In the everyday lives of students, the word "force" may signify many different things. These widespread interpretations have a significant impact on how pupils grasp the concept of "force."

Students frequently hold the belief that forces have some sort of tangible presence and are ingrained in moving objects. An item in motion is said to "contain" or "have" force. Some pupils believe that such a force maintains motion;

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90% of energy may be lost as heat (emitted during respiration), through motion, or in foods that people cannot digest at trophic level.

Energy is lost as metabolic heat when animals from one trophic level are ingested by species from the next level, hence energy diminishes as it goes up the food chain. Energy transmission between trophic levels is quantified by trophic level transfer efficiency (TLTE). The next trophic level's access to energy is determined by the 10% rule. 10% of the energy that is transferred between trophic levels becomes available for the following level. (The shift from the sun to producers is the exception; in this scenario, just 1% of the energy is maintained.)

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The size of this induced voltage is related to the speed or velocity of the movement, which causes a coil or loop of wire to experience a voltage as a result of moving it through a magnetic field.

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76.56 m minimum distance should the brakes be applied to avoid a collision with the other vehicle. This can be solved using the concept of work-energy theorem.

The net work performed by forces acting on an object equals the change in kinetic energy, according to the work-energy theorem.

The Work-Energy theorem is used in that it is highly helpful in assessing scenarios where a stiff body should move under several forces. Due to its rigid structure, a rigid body can only have kinetic energy and cannot store potential energy in its lattice. The work-energy theorem may be able to offer some insight into the forces when an object's motion is known but the magnitudes of one or more of the forces acting on it are unknown. The work-energy theorem is valid both for constant and variable forces.

Given that,

mass (m) = 1.00 x 10³ kg

velocity(v) = 35.0 m/s

force (f) = 8000 N

As we know from work-energy theorem,

Δk = w

⇒ 1/2 mv² = f × d

⇒ d = mv² / (f × 2)

⇒ d = [1.00 x 10³ kg × (35.0 m/s)²] / (8000 N × 2)

⇒ d = 76.56 m

76.56 m minimum distance should the brakes be applied to avoid a collision with the other vehicle.

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The following best explains why supply of coal should be conserved since it is a source of nonrenewable energy :The conditions of the environment now are different from environment when coal first formed.

Coal is classified as a nonrenewable energy source because it takes millions of years to form and coal contains energy stored by plants that lived hundreds of millions of years ago in swampy forests. Layers of dirt and rock covered the plants millions of years.

According to the U.S. Energy Information Administration, most of the electricity was generated by natural gas, nuclear energy, and coal in 2020. Electricity can also be produced from renewable sources such as wind, hydropower, solar power, biomass, wind and geothermal.

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Note : The question given on the portal is incomplete. Here is the complete question.

Question: Coal is a source of nonrenewable energy commonly used in the united states for the generation of electricity. which of the following best explains why the supply of coal should be conserved since it is a source of nonrenewable energy?

The conditions of the environment now are different from environment when coal first formed.

Coal is not largest source of energy for generating electricity in the world.

Once they exhausted, they can be renewed again for millions of years.

Coal is easy to store.

The bottle's speed, as a percentage of the ball's incoming speed hence 6.5% Initial=Final  The left side of Initial is and the right side of Final m1v1+m2v2= 0.065

the name's initial letter. initials plural: each word's first letter in a whole name. discovered that they shared the same initials: a capital letter that starts a sentence, paragraph, or division.The ball weighs 0.12 kilogram.

m1= 0.12 kg Ball

m2= 2.4 kg Wooden Bottle

Initial=Final ( no impulse going on) Initial is the left side and Final the right side

m1v1+m2v2= - m1v1+m2v2 (negative the final m1v1 because it goes contrary as it bounces back)

Your equation should look:

0.12kg(v1)+0 (bottle was on rest)= -0.12(0.3)v1+ 2.4kgv2

0.12kgv1 + 0.036v1=2.4kgV2

0.156V1=2.4kgV2

0.065=(v2/v1)

hence 6.5%

Your family is known by your last name. It is also known as "last name." When completing applications, type your last name exactly as it appears on your identity or travel document. Use only full names.

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The correct question is

At the county fair, Chris throws a 0.12kg baseball at a 2.4kg wooden milk bottle, hoping to knock it off its stand and win a prize. The ball bounces straight back at 30% of its incoming speed, knocking the bottle straight forward.

What is the bottle's speed, as a percentage of the ball's incoming speed?

Express your answer using two significant figures.

The radius of a hemisphere with a volume of 61326 ft^3 , to the nearest tenth of a foot is 30.827 f.

The volume of a sphere with radius R is known to be:

V = (4/3)*pi*R^3

in where pi = 3.14

A hemisphere is half a sphere, its volume is half that of a sphere, and its volume is as follows for a hemisphere of radius R:

V' = (1/2)*(4/3)*pi*R^3

Now that we are aware of the volume of our hemisphere:

V' = 61326 ft^3

The equation is then easy to solve:

61326 ft^3 = (1/2)*(4/3)*pi*R^3

For R.

(We need the diameter, but knowing the radius is a good place to start because the diameter is equal to two times the radius.)

61326 ft^3 = (1/2)*(4/3)*pi*R^3

61326 ft^3 = (4/6)

*3.14*R^3

61326 ft^3*(6/4*3.14) = R^3

∛( 61326 ft^3*(6/4*3.14) ) = R = 30.827 f

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The type of galaxy that consists almost entirely of old stars and is thus less blue than the other types is: a.) elliptical.

Galaxy is a sprawling space system that is composed of stars, dust, interstellar gas, stellar remnants and dark matter. They are all held together by gravity and the word 'Galaxy' is termed from the Greek word 'galaxies'. Their appearance and composition are shaped over billions of years by interactions with the groups of stars and other galaxies.

Recent studies of dynamics of galaxies confirm fundamental inference made 25 years ago from studies of the kinematics of stars within galaxies: on scales larger than galactic nuclei, dominant physical interaction is gravity.

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For minor displacements, gravity has very little effect on an object's horizontal motion. This suggests that the spin and horizontal are at a little angle and that the horizontal velocity is constant.

Motion is defined as a change in an object's location with respect to time. A book tumbling off a table, water running from a faucet, rattling windows, etc. are examples of motion. In physics, a force is an effect that has the ability to change how an object moves. A mass-containing object's velocity or acceleration can be altered by a force (for example, moving from a condition of rest). Force can also be intuitively described as a push or a pull.

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The complete question is-

when an object effected by gravity on earth is spinning in a non-vertical circle, there is a small angle between the spin of the object and the actual horizontal, explain?

The tension in the chain is the force acting on the child which is 394.76N.

What is tension the chain and calculate it?

The tension in the chain is equal to the force acting on the child in the seat. This force is equal to the child's weight, which is the force of gravity acting on the child's mass.

The weight of an object can be calculated using the formula:

Weight = mass x gravity

where mass is measured in kilograms and gravity is measured in meters per second squared. On Earth, the acceleration due to gravity is approximately 9.8 m/s^2.

So, for a child with a mass of 40.2 kg, the weight would be:

Weight = 40.2 kg x 9.8 m/s^2 = 394.76 N

The tension in the chain is the force acting on the child which is 394.76N. However, it's important to note that this tension is in the direction of the force of gravity, which is downwards.

If the angle of the chain is different from the vertical direction, the tension in the chain will be affected by the angle and the force of gravity.

In this case, you would need the angle to determine the tension in the chain.

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The output of a NAND gate (also known as a NOT-AND gate) complements that of an AND gate because it only provides a false output if all of its inputs are true.

Only when all inputs are HIGH will an AND gate's output be HIGH. When one or more inputs are LOW, a NAND gate's output is HIGH.

The truth table for the NOR gate is displayed above and indicates that this logic gate is one that outputs low values when any of the inputs are high.

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The electrical force experienced by the hydrogen nucleus is to the left, and the magnitude is equal to the force exerted on the carbon nucleus has a charge e, is situated to the left of a carbon nucleus which has a charge 6e. In this case, Option A is correct

What is a force, according to physics?

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The horizontal velocity of a projectile with a horizontal component of motion will never change. At the top of its trajectory, a projectile's horizontal velocity is zero meters per second.

What does motion imply? Simply put?

Motion is the slow, long-term shift in an object's location. Motion is defined in terms of displacement, distance, momentum, acceleration, time, and speed. Motion can be experienced while walking, cycling, leaping, bathing, eating, drinking, playing, typing, watching moving cars, and tossing a ball.

Why is movement important to your well-being?

Motionless is death. As much as it needs food, water, or air, your body needs movement. It provides the brain with the essential nutrients it needs to be stimulated (known as proprioception).

The vertical and horizontal velocities of a projectile are independent of one another; the horizontal velocity is unaffected by the vertical velocity.

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2.1. The acceleration of the ball immediately after it leaves the girl's hand is -9.8 m/s², directed downwards.

2.2. Yes, the ball is in free fall while it moves downwards. This is because the only force acting on the ball is gravity, which is a constant downward force.

The magnitude of the velocity with which the ball hits the floor can be calculated using the equation v² = u² + 2as, where u is the initial velocity, a is the acceleration, v is the final velocity, and so is the distance traveled. In this case, u = 8 m/s, a = -9.8 m/s², and s = 1.8 m. Plugging these values into the equation, we get v = √ (8² - 2 × (-9.8) × 1.8) = √ (64 + 35.28) = √ (99.28) = 9.96 m/s.The time it takes for the ball to hit the floor can be calculated using the equation t = (v-u)/a, where t is the time, v is the final velocity, a is the acceleration and u is the initial velocity. In this case, v = 9.96 m/s, u = 8 m/s, and a = -9.8 m/s². Plugging these values into the equation, we get t = (9.96 - 8)/-9.8 = 1.97 s.

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Line F should charge 3 be placed so that the free-body diagrams of charge 1, charge 2, and charge 3 are consistent.

Free-body diagrams (FBDs) are a type of graphical representation used in engineering and physics to show the equilibrium of forces acting on a body or system. They are used to illustrate the components of a force and the sum of the forces acting on a body. They help to analyze the forces acting on a body in a given situation.

FBDs are a helpful tool for visualizing the magnitude and direction of each force acting on an object, and for determining the net force and the resulting motion of the object. FBDs depict the individual forces acting on a body, including external forces, weight, friction, and tension.

They also enable engineers to calculate the forces acting on an object, such as the forces acting on a beam or a structure, in order to design and build systems such as bridges, buildings, and machines.

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Complete question:

a. In the first 4.0 seconds of its motion, the car is accelerating from rest to a certain velocity. From the velocity-versus-time graph, we can see that the velocity increases linearly with time. Therefore, we can use the equation: distance = (initial velocity + final velocity) / 2 * time to calculate the distance covered by the car in the first 4.0 seconds.

In this case, the initial velocity is 0 m/s and the final velocity is V, where V is the velocity after 4.0 s. Therefore, the distance covered by the car in the first 4.0 seconds is (0 + V) / 2 * 4 = 2V * 4.

b. In the last 2.0 seconds of its motion, the car is decelerating from a certain velocity to come to rest again. From the velocity-versus-time graph, we can see that the velocity decreases linearly with time. Therefore, we can use the equation: distance = (initial velocity + final velocity) / 2 * time to calculate the distance covered by the car in the last 2.0 seconds.

In this case, the initial velocity is V, where V is the velocity before 2.0 s and the final velocity is 0 m/s. Therefore, the distance covered by the car in the last 2.0 seconds is (V + 0) / 2 * 2 = V * 2

c. The middle portion of the car's motion corresponds to the constant velocity segment of the graph. From the graph, we can see that the velocity is a constant value for the middle portion of the motion. Therefore, we can read the value of V from the graph, it is the slope of the line from the graph, which is 22/8 = 2.75 m/s.

The uncertainty of the total distance is 0.8 cm. It applies to physical measurements that have previously been performed, to the unknown, and to projections of future events.

No matter how precise or accurate a measurement is, there is some degree of uncertainty. This is due to two things: the measurement tool's limitations (systematic error) and the experimenter's measurement expertise (random error).

The uncertainty of a measurement is often calculated by taking one-half the unit of the last decimal point in the measurement.

For risk analysis and decision-making, the capacity to measure uncertainty is crucial. Businesses make decisions every day using reports with information from quantitative measurements. Inaccurate measuring data raise decision-risks. The wrong supplier selection may result in subpar product quality.

Given:

x1 = (11.0 - 0.2) cm

x2 = (6.2 +0.4) cm

x3 = (16.3 + 0.2)

Uncertainty of the total distance x1 + x2 + x3 = 0.2+0.4+0.2

Uncertainty of the total distance x1 + x2 + x3 = 0.8

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