A bike accelerates uniformly from rest to a speed of 3.55 m/s over 17.7m . what is the acceleration of the bike

The amount of distance that was covered by this person is equal to 4 kilometers.

The displacement from the starting point is equal to 2 kilometers to the right.

In Science, distance can be defined as the amount of ground that is covered (travelled) by a physical body or object over a particular period of time and speed, irrespective of its direction, starting point or ending point.

In this scenario, the total distance covered in a straight line by this person can be calculated by adding the distance he ran towards the right direction to the distance he ran towards the left direction as follows:

Distance = xf + x₀

Distance = 3 + 1

Distance = 4 kilometers.

On the other hand (conversely), the displacement of this person would be calculated by subtracting the distance he covered when running back from the distance he covered when running towards the right direction as follows:

Displacement = xf - x₀

Displacement = 3 - 1

Displacement = 2 kilometers to the right.

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Answer:

10.4 m/s²

Explanation:

use the formula:  V² = Vo² - 2aΔx

Plug in the known values then solve for a.  Vo = 0 because the car starts from rest.

(25 m/s)² = 0 + 2a(30m)

a = (625 m²/s²)/(2)(30m) = 10.4 m/s²

The change in pressure on such a special-op soldier is 22.58 x 10⁴ Pa.

Calculation:-

Let pressure at surface of earth be P Pa.  

pressure at height of 8.1 km in air can be calculated as follows .

pressure due to column of air of 8.1 km height

= h d g , h is height , d is density of air and g is acceleration due to gravity

= 8.1 x 1000 x .87 x 9.8 = 6.9 x 10⁴ Pa .

pressure at the height of 8.1 km

= P - 6.9 x 10⁴ Pa

Pressure due to  column  of 16 m in the sea

= h d g

16 x 1000 x 9.8

= 15.68 x 10⁴ Pa .

Pressure at depth of 16m

= P + 15.68 x 10⁴

pressure difference between points at height of 8.1 km and pressure at point 16 m deep

=  P + 15.68 x 10⁴ -  P +  6.9 x 10⁴ Pa

= 22.58 x 10⁴ Pa .

Air is the invisible combination of gases that makes up the Earth's ecosystem. this is what we suggest while we communicate approximately the air that we breathe. The phrase air is also used to consult the advent of some thing, as in an air of mystery.

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If all these resistors were light bulbs, 22Ω resistor is greatest, it would be the brightest bulb.

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The femur, which is the thighbone, and the pelvis, which consists of the ilium, ischium, and pubis. The femoral head creates the ball of the hip joint, and the acetabulum creates the socket.

What tissues connect to the iliac crest?

Hip flexors, internal and external abdominal oblique muscles, erector spinae muscles, latissimus dorsi, transversus abdominis, and tensor fasciae latae are just a few of the significant abdominal and core muscles that are linked to the iliac crest.

What are the pelvis' four components?

The coccyx and sacrum make up the pelvic spine. The innominate bones are the pubic bone, ischial bone, and iliac bone that connect on either side.

Is the iliac crest the hip bone?

The largest of the three bones that make up the hip bone or bony pelvis, the ilium, has a conspicuous section called the iliac crest. A person will occasionally rest their hands on the curved section of the pelvis that creates the wing-like feature of the hip and lies close to the skin.

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The possible combinations are for the values of l when n = 2 is two values 0,1 and ml is -1,0,1

The n is the principal quantum number

l is the azimuthal quantum number

ml is the magnetic quantum number.

The formula to find the azimuthal quantum number is

            l = 0,1,2,3 .......n-1

If n = 2, the azimuthal quantum number,

            l = 0, 1

Then, the ml can be found using the formula,

           ml = 2l +1

For l = 0 , ml = 2(0) + 1

                    = 1

Therefore, ml will have only one value, which is 0

For l =1 , ml = 2(1) + 1

                  = 3

Therefore, the ml will have three values, they are -1,0,1

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The net force acting on the wagon at a constant speed is 0.

The value of the force of friction acting on the wagon is 55 N.

The net force acting on the wagon is calculated by applying Newton's second law of motion as shown below.

F - Ff = ma

where;

At a constant speed, the acceleration of the wagon = 0

F - Ff = 0

F - Ff = F(net)

Thus, the net force is zero, when the speed of the wagon is constant.

The force friction acting on the wagon if the force on the wagon increased to 30 N is calculated as;

F - Ff = 0

( 30 N + 25 N ) - Ff = 0

Ff = 55 N

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The minimum angle that the  ladder make with the floor before it slips with the force is 45 Degree.

Given data:

The coefficient of static friction force between ladder and floor is, \mu =0.5.

Apply the Newton' law in vertical direction to obtain the value of Normal Force (P) as,

N = mg

And force along the horizontal direction is,

F= μ*N

F = μ*mg

Now, taking the torque along the either end of ladder as,

-mgcosθ * L/2 = (μmg)*sinθ*L

cosθ*1/2 = μsinθ

tanθ = 1/(2*0.5)

tanθ = 1/1 = 1

tanθ = tan 45

θ = 45

Thus, we can conclude that the minimum angle that the  ladder make with the floor before it slips with the force is 45 Degree.

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If I drop the sand bag out of the cart right at the equilibrium location, my oscillation amplitude b)will decrease, So, correct option is b.

On the off chance that it is situated toward the end, its dynamic energy will be equivalent to nothing, so the framework all in all would just have expected energy, which is characterized as:

[tex]E_p[/tex] = (1/2) × k ×A²

Where Aₙ is the sufficiency of the swaying.

As per the energy guideline, said energy should stay preserved, subsequently, the complete energy is equivalent to:

[tex]E_t_o_t_a_l[/tex] = (1/2) × k ×A²

Since the framework is in balance, as per the declaration of preservation of energy, the energy in the position situated toward the end would be equivalent to the energy in harmony. As the barricade falls, its dynamic energy diminishes, which is the reason the all out energy of the framework likewise diminishes.

Hence, correct option is b.

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(Complete question) is:

If you drop the sand bag out of the cart right at the equilibrium location, what effect will that have on the amplitude of your oscillation?

a)will increase

b)will decrease

c)will remain same

Stratum spinosum, stratum lucidum, epidermal ridge, stratum basale, basement membrane, dermis, dermal papilla, stratum granulosum, stratum carenum.

Although the real keratinocytes originate in the stratum basale, keratinization starts in the stratum spinosum. Since they are actively producing the fibrilar proteins known as cytokeratin, which accumulate within the cells clumping together to form tonofibrils, they feature big pale-staining nuclei. Desmosomes, which enable solid connections to form between neighbouring keratinocytes, are created from tonofibrils. Langerhans cells may also be seen in the stratum spinosum.  Desmosomes are used to connect these. When desmosomes are stained with H&E, the microfilaments between them shorten, giving them their spiny (Latin, spinosum) appearance.

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Ampere. A ____ is one thousandth of an amp. the current utilized for face and scalp treatments is measured in milliamperes.

The electrical potential difference is measured in volts. The force that propels electrons across an electrical circuit to create an electric charge that is measured in amperes is another way to define volt. Amperes are units used to quantify electric current, or even the number of electrons moving across a circuit.

He developed the astatic needle, an indispensable facet of the contemporary astatis galvanometer, that was the first to show that a magnetic field is produced when parallel wires are electrically charged. He is usually acknowledged as the first to develop electromagnetic.

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The vibration amplitude of a spring with a constant of 20 N/m which has a speed of 1.5 m/s with a mass of 0.50 kg which is associated = 0.237 m.

When an object oscillates on a spring, the kinetic energy and potential energy of the mass-spring system change with time.

The total energy (the kinetic energy + potential energy) is constant.

The kinetic energy of an object moving with speed v is:

½ mv².

The potential energy of a spring with a constant k is:

= ½ kx².

The total energy = ½ kx² + ½ mv² = ½ kA².

The total energy equation gives the general property of simple harmonic oscillations which is directly proportional to the square of the amplitude.

And, we have:

m = 0.50 kg

k = 20 N/m

v = 1.5 m/s

Remember, the total energy = ½ kA².

So,

A² = (m)(v)² / k

= (0.50) (1.5)² / 20

= 0.05625

A = [tex]\sqrt{0.05625}[/tex]

= 0.237 m

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The ratio of the newly allowed intensity to the previously allowed intensity is 3.1623 x 10⁻³.

Banks says a leaf blower makes 64 to 78 decibels at 50 feet. To the operator's ear, the noise is 95-115 decibels. According to Dangerous Decibels, a public-private partnership aimed at reducing hearing loss, typical speech is around 60 decibels, washing machines 75 decibels, and chainsaws 115 decibels.

Performance that fits your needs. Setting the motor to a low speed makes less noise. According to the American Green Zone Alliance, an organization dedicated to zero-emission landscaping, the average fan produces about 65 dB of noise. Compare this to the average noise level of a traditional gas backpack blower.

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Yes, they both cast shadows. A  eclipse occurs when one enters the shadow of the other.

Solar eclipse: Earth in shadow of Moon.

Lunar eclipse: Moon in shadow of Earth.

A solar eclipse is the result of one celestial body being completely or partially obscured by another celestial body along the line of sight of an observer. A solar eclipse occurs when the moon passes between the earth and the sun, obscuring all or part of the sun's disk. A lunar eclipse occurs when the Moon passes through the Earth's shadow, making the Moon's surface completely or partially obscured.

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13) Skinner was known for training animals in operant conditioning is False 14) Media violence and aggressive video games decrease viewers' level of emotional arousal is True, 15) The child shows discrimination towards the hot stove is False.

B. F. Skinner did use animals especially rats in his experiments but he was not interested in training them. He was interested in analysing behaviour and said that behaviour that is followed by pleasant consequences will likely be repeated and behaviour followed by unpleasant consequences is less likely to be repeated. This was called Law of Effect-Reinforcement by him i.e., the behaviour which is reinforced tends to be repeated and the behaviour which is not reinforced tends to die out. Watching violence through media or video games will arouse aggressive thoughts of person but are likely to decrease emotional empathy of the viewers for victims. Arousal of agressive thoughts need not necessarily be normal emotional arousal. This is actually called higher order conditioning. In this situation, a previously neutral stimulus becomes a conditioned stimulus after being compared repeatedly with a learned stimulus. On the other hand, discrimination is a tendency of an individual to differentiate between a conditioned stimulus and a similar stimulus, that won't result in unconditioned stimulus.

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The heat and pressure generated when slamming on the brakes can cause tears and cracks in the hoses.

Sliding friction is defined as the force acting between moving surfaces. An object moving on a surface experiences a force opposite its direction of motion. The force magnitude depends on the dynamic friction coefficient between the two materials.

Static friction prevents the box from moving without being pushed. It must be overcome with sufficient reaction force before the box can move. Kinetic friction is the force that resists the relative motion of surfaces when they begin to move.

Sliding friction is also called kinetic friction because it occurs between two surfaces rubbing against each other. Sliding friction is caused by the entanglement of surface irregularities.

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All of the following are major body tissue types except Lymphatic tissue.

Tissue is the mass of the cell of body of human.

The lymphatic system is an extensive network of vessels, nodes, and ducts that pass through almost all bodily tissues. It allows the circulation of a fluid called lymph through the body in a similar way to blood.

The lymphatic system is a network of vessels, nodes, and ducts that collect and circulate excess fluid  in the body.

The lymphatic system is part of the immune system. It also maintains fluid balance and plays a role in absorbing fats and fat-soluble nutrients.

The lymphatic system drains excess fluid that accumulates in bodily tissue, filters out foreign bodies, and transports it back into the bloodstream.

Failures of the lymphatic system can cause swelling, venous dysfunction, and life threatening complications.

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The resultant between the two vectors has a magnitude of 25.2 units. Vector b has a magnitude of 25 units, while vector a has a magnitude of 10 and forms a 30 degree angle with the horizontal axis.

In physics, magnitude is referred to as an object's maximal size and direction. Both vector and scalar values use magnitude as a common factor. We know that scalar quantities are those that have magnitude and nothing else by definition. Contrarily, vector quantities are those with both magnitude and direction.

An object's motion from one point to another is described by a vector.

A = 10 B = 25, and TETHA = 180 - 50 - 30 = 100 degrees.

R = (A2 + B2 + 2AB cos(100))1/2, Magnitude of the Resultant

R = (100+625+2*10*25*cos(100)^1/2

R = 25.2 units

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The time taken by the ball to fall on the ground is 2.55 seconds

The height of the building = 50 m

The initial speed = 25 m/s

The time taken to reach the ground can be found using the formula

                 v = u + at

where u is the initial speed

           a is the acceleration

           t  is the time taken

At the highest point, the speed is zero which is v = 0 and the acceleration is due to gravity which is in the opposite direction of the movement of the ball. Thus,

             0 = u - gt

Let us rearrange it,

             t = u/g

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

            t = 25 / 9.8

              = 2.55 seconds

Therefore, the time taken is 2.55 seconds.

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Industry versus Inferiority is the stage in which children enter into the greater society beyond the family for the first time.

The moment where children first leave the household and join the larger community is known as Industry versus Inferiority. They can establish a valuable social role to contribute to society if they are successful in getting through this stage. They will develop into productive and helpful members of society as a whole. If they fail at this stage, they could have low self-esteem that leads to a feeling of inferiority, in which they see themselves as unproductive and perhaps not completely helpful members of society. Erik Erikson's (1950) phases of development are a series of steps that people must do in order to successfully advance to the next stage and reach higher degrees of healthy development. Industry makes up the fourth stage.

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Forces  Fv = 33N,  Fh = 3.75 N, d=1.334m

a)For net force to be zero in vertical direction Fv = F1+ F2 = 33N

b)For net force to be zero in horizontal direction Fh = F3 = 3.75 N

c)Net torque about point O = 0

Fv.d - F2.b - F3.a= 0

33d - 10.5 x 3.3 - 3.75 x 2.5 = 0

d=1.334m

A force is a push or pull that an object experiences as a result of interacting with another object. There is a force acting on each object whenever two objects interact.

Contact forces are the kinds of forces that develop when two interacting objects appear to be in physical contact with one another. Frictional, tensional, normal, air resistance, and applied forces are some examples of contact forces.

When two things are interacting but are not physically touching each other, action-at-distance forces can still create a push or pull.

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The absolute value of the slope of the production possibility frontier at any point gives the quantity of the good on the vertical axis that must be given up producing an additional unit of the good on the horizontal axis. (Option C)

The marginal rate of transformation (MRT) enables the economists to evaluate the opportunity costs to produce one extra unit of something. MRT refers to the absolute value of the slope of the production possibility frontier. The production possibility frontier (PPF) refers to a curve on a graph that demonstrates the possible quantities that can be produced of two products if both depend upon the same finite resource. For each point on the frontier displayed as a curved line, there is a different marginal rate of transformation, and this rate is based on the economics of producing the two goods. Hence, MRT is equal to the opportunity cost of an additional unit of the good on the horizontal axis.

Note: The question is incomplete as it is missing options which are A) gives the autarky price of the good on the vertical axis. B) is found by dividing the horizontal change by a vertical change. C) gives the quantity of the good on the vertical axis that must be given up to produce an additional unit of the good on the horizontal axis. D) gives the autarky price of the good on the horizontal axis relative to the autarky price of the good on the vertical axis.

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On a wall 1.47 m away from the grating, the central and first-order principal maxima are separated by 0.562 m. The laser light's wavelength is 674 nm.

The principal maxima are defined by dsinθ=mλ, where m=0,1,2,…

For m=1,λ=dsinθ

The angle between the central maximum (m=0) and the first order maxima (m=1) in this case is called. The value of can be calculated using the data provided on the separation between maxima and the grating-to-screen distance:

tanθ= 0.562/1.47m =0.382

So θ=22.457°

 and sinθ=0.382

The distance between grating "slits" equals the reciprocal of the number of grating lines per centimeter

d= 1/5660 cm⁻¹ = 0.0001766784=1.766*10³ nm

The wavelength is λ=dsinθ=(1.766*10³nm)(0.382)=674nm

A waveform signal's wavelength is defined as the separation between two identical points (adjacent crests) in adjacent cycles as the signal travels through space or along a wire. This length in wireless systems is typically expressed in metres (m), centimeters (cm), or millimeters (mm) (mm). It is more common to specify the wavelength in nanometers (nm), which are units of 10-9 m, or angstroms (), which are units of 10-10 m, for infrared (IR), visible light (VL), ultraviolet (UV), and gamma radiation ().

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The distance -time graph of object D shows a linear relationship. Thus it moves with a constant speed. Whereas, object C shows a non-linear relation of distance and time thus, it moves with a changing speed.

Velocity is a physical quantity that measures the distance covered per unit time. Velocity is a vector quantity and is having both magnitude and direction.

Velocity is the ratio of distance to the time. Thus, if the change in distance is linear with the change in time, there will be no change in velocity and the object is said to be moving with constant velocity.

If the distance and time are non-linear thus, thus, change in distance is not coinciding with change in time, then the velocity changes each time.

Therefore, object C has a changing speed and object D has a constant speed.

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The dimension of acceleration is given by, [tex]m^{0} l^{1} t^{-2}[/tex], where m, l, t stand for mass, length and time respectively.

A dimensional equation is created when a physical quantity is expressed as its dimensional formula. The basic numbers [L] for length, [M] for mass, and [T] for time are used to define dimensional formulas in these three dimensions.

The characteristics of a system are quantified using physical quantities. These physical quantities are given significance by the combination of a generally recognised unit and a numerical value. For instance, while describing a beam's length, we may state that it is 6 [numerical quantity] + meters  [unit].

One crucial method for representing these systems in clear languages is through dimensional formulas. A few benefits come from using dimensional formulas to define derived units. It illustrates the representation of various physical quantities in terms of their fundamental units. It serves as a dimensional accuracy check for a derived quantity formula. It lessens errors that happen while translating between different systems' units (say from SI units to British units).

Derivation

We must obtain the formulas for displacement and velocity, two variables on which acceleration depends, in order to determine the dimensional formula for acceleration.

Dimensional Formula for Displacement

Change in position or movement is displacement, thus it is represneted by length.

[d] = [l]

This is also written as:

[d] = [[tex]m^{0} l^{1} t^{0}[/tex]]

This means that displacement has single dimension in length and no dimension in time and mass.

The dimension for displacement is [l].

Dimensional Formula for Velocity

Since velocity [v] is defined as a displacement with respect to time. This is represented as:

v = Displacement/Time

Since displacement [d] is given as [l] we have:

[v] = [l]/[t]

This can be further defined as:

[v] = [tex]lt^{-1}[/tex]

Finally concluded as:

[v] = [[tex]m^{0} l^{1} t^{-1}[/tex]]

The rate at which velocity changes over time is known as acceleration [a]. This is illustrative of:

[a] = Change in velocity/Change in time

Since we previously calculated velocity as [[tex]lt^{-1}[/tex]], acceleration is given as:

[a] =[tex][lt^{-1}]/[t][/tex]

This can be further condensed as follows:

[a]=[ [tex]lt^{-2}[/tex]]

This can also be stated as:

[a] = [[tex]m^{0} l^{1} t^{-2}[/tex]]

The dimensional formula for acceleration is displayed on the right side of the equation above. This dimensional equation states that acceleration has one length dimension, negative 2 of time dimensions, and no mass dimensions.

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The number m has the ability to make the inequality true = -8

In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to one another.

Inequalities which are commonly used are as follows :

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

The integer that will make the inequality true is m = -8

(1/4)(m - 4) ≤ (1/8)(m - 16)

1/4 x -12 ≤ 1/8 x -24

-3 ≤ -3

According to the given information

We have,

One-fourth times the difference between m and four is less than or equal to one-eighth times the difference between m and sixteen

This can be written as,

(1/4)(m - 4) ≤ (1/8)(m - 16)

The value at which the inequality will be true.

S = {−32, −8, 16, 32}

We will check each value.

m = -32

1/4 x -36 ≤ 1/8 x -48

-9 ≤ -4

Not true

m= -8

1/4 x -12 ≤ 1/8 x -24

-3 ≤ -3

True

m = 16

1/4 x 12 ≤ 1/8 x 0

3 ≤ 0

Not true

m = 32

1/4 x 28 ≤ 1/8 x 16

7 ≤ 2

Not true

Thus,

The number m has the ability to make the inequality true = -8

(1/4)(m - 4) ≤ (1/8)(m - 16)

1/4 x -12 ≤ 1/8 x -24

-3 ≤ -3

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The magnitude of current when a flat coil of wire consisting of 480 turns each with an  area of 70 cm, is positioned perpendicularly to a uniform magnetic field that increases its magnitude at a constant rate from -0.8 t to -0.75 t in 7.7 s. if the coil has a total resistance of 86  is 0.025 A.

Given that magnetic flux is expressed as = NBA in this situation,

we know that N = number of turns and B = magnetic field.

We now know that the rate of change in magnetic flux will cause EMF in the coil, hence A = area of the loop.

EMF = NBA db/dt

Now, enter all variables to calculate the induced

EMF: (480)(70 * 10-2). [(-0.75) -(-0.8)]

According to Ohm's rule, current equals EMF divided by resistance, hence I = 2.18/86

I = 0.025 A

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Answer:

One force acts on the object

A situation is impossible in such a circumstance - one force acts on the object. Because when the object is moving at constant velocity it means net force is zero. If one force acts on the object, net force is always not a zero. All the other combinations (no forces, two forces, three forces … )could give a resultant force equal zero

In this question, you need to determine the torque.

The formula for torque is

torque = weight * length of the lever arm in meters

Since we are given the mass of each child, we need to solve for their weights, which is found by multiplying their masses by the pull of gravity, which is 9.8 m/sec/sec.  

This gives the weight of the 20 kg child to be 196 Newtons, and the weight of the 30-kg child to be 294 Newtons.  

If the length between the 2 children is 0.5 meters, then let's say that the distance away that the heavier child is from the fulcrum is r.  

That makes the distance that the lighter child is away from the fulcrum as 0.5 - r.  

Now the sum of the torques must equal 0 if the seesaw is to remain balanced.  

Because one torque is positive and one is negative, we can move the negative one over to the other side of the equals sign making them equal to each other, which is what rotational equilibrium is all about.  

Here's our formula thus far:

196(0.5 - r) = 294r and

686 - 196r = 294r and

686 = 490r so

r = 1.4

Therefore, with the help of torque, we get, the heavier child is at the distance of 1.4 m and the lighter child is 3.5 - 1.4 = 2.1 m away.

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