a boat in the trough of a wave takes 3 s to reach the highest point of the wave. the velocity of the wave is 5 m/s. what is its wavelength?

The Power through the solenoid sets the max current you want to run through the coil. Voltage/Current=Resistance.

The radius of a cylinder(r) = √(V / π × h), where V is the volume of a cylinder, h is the height of the cylinder, and π(Pi) is a mathematical constant with an approximate value of 3.14.

The number of turns in a solenoid is equal to its length times the magnetic field strength at its center divided by naught times the current in the solenoid . When it comes to the factors on the left-hand side of this expression, we're given all four of them.

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The density of the sphere given that it has a radius of 5 cm is 1.25 g/cm³

We'll begin by obtaining the mass of the sphere. This is shown below:

F = mg

Divide both sides by g

m = F / g

m = 6.4 / 9.8

m = 0.653 Kg

m = 0.653 × 1000

m = 653 g

Next, we shall determine the volume of the sphere. Details below:

V = 4/3πr³

V = (4/3) × 3.14 × 5³

V = 523 cm³

Finally, we shall determine the density of the sphere. This is illustrated below:

Density = mass / volume

Density of sphere = 653 / 523

Density of sphere = 1.25 g/cm³

Thus, the density of the sphere is 1.25 g/cm³

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A thermal power plant's efficiency is 35.2%, using 1.13*10¹⁴ j of heat input. The difference between the amount of work that is completed and the amount of waste heat is 0.733*10¹⁴ J or 1.84 g.

Heat input θ[tex]_{i}[/tex]=1.13*10¹⁴ J

η=35.2%

Let's take,

Work done = W

Heat rejected (waste)=θ[tex]_{R}[/tex]

a)η=W/Q[tex]_{i}[/tex]=0.352

W=0.352*1.13*10¹⁴

W=0.397*10¹⁴ J

b) Ist law of thermodynamics

θ[tex]_{i}[/tex]=θ[tex]_{R}[/tex]+W

θ[tex]_{R}[/tex]= θ[tex]_{i}[/tex] -W

θ[tex]_{R}[/tex]=0.733*10¹⁴ J

c)

θ[tex]_{R}[/tex]/W = 0.733*10¹⁴ /0.397*10¹⁴

θ[tex]_{R}[/tex]/W =1.84 g

Efficiency is the ability to carry out tasks or produce desired results without wasting time, resources, money, energy, or other factors. It is the capacity to carry out tasks effectively, efficiently, and without wasting time in a broader sense.

In terms that are more mathematical or scientific, it refers to the degree of performance that requires the fewest inputs to produce the greatest output. It frequently entails the ability of a particular application of effort to create a particular result with a minimal amount or quantity of waste, expense, or superfluous work. Efficiency is used to describe extremely varied inputs and outputs in several disciplines and sectors. "Resource efficiency involves using the Earth's limited resources," the European Commission stated in 2019.

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The weight of the object with a mass 16Kg would be approximately 60.8 Newtons on mars.

The weight of an object is a measure of the force of gravity acting on that object. On Earth, the acceleration due to gravity is approximately 9.8 m/s^2, so the weight of an object can be calculated using the formula W = mg, where W is the weight of the object, m is the mass of the object, and g is the acceleration due to gravity.

The mass of an object is a measure of the amount of matter it contains and is typically measured in kilograms (kg). The weight of an object is typically measured in Newtons (N). In this case, we are given the mass of an object (16 kg) and the acceleration due to gravity on Mars (3.8 m/s^2). Using the formula W = mg, we can calculate the weight of the object on Mars to be approximately 60.8 N.

This means that the force of gravity acting on the object on Mars would be 60.8 N. The weight of an object can vary depending on the gravitational acceleration of the planet it is on. For example, an object that weighs 100 N on Earth would weigh approximately 38 N on Mars due to the lower acceleration due to gravity on Mars.

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Acceleration is equal to velocity (meter/sec)/time (sec). Therefore, (meter/sec)/sec = (meter/sec)/sec is the unit of acceleration. 1200N.

If the elevator is stationary or traveling at a constant speed, N = mg. If the elevator accelerates upward, N = mg + ma. If the elevator has a downward acceleration, N = mg - ma. The perceived weight of the person is greater than the actual weight if the elevator is ascending quickly. if the elevator is descending more quickly.

Acceleration on a ramp is equal to the product of gravitational acceleration and the height-to-length ratio of the ramp. Acceleration on a ramp is equal to gravity acceleration times the sine of the ramp angle.

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A flooded engine occurs when too much fuel and not enough air reaches the engine. (Option A)

A flooded engine refers to an internal combustion engine that has been fed an excessively rich air-fuel mixture that cannot be ignited. This occurs due to the mixture exceeding the upper explosive limit for the particular fuel. In simple words, a flooded engine simply has too much gas in its cylinders and not enough air, so the spark plugs cannot ignite the fuel-air mix. A flooded engine will not start until the excessively rich mixture has been cleared. The condition also causes an engine to stall from a running state.

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If it traveled to the next sun-like star at that speed, the trip would take at least is 100 millennia.

4.3 light years is the distance to the nearest star, regardless of type.

Let's round up to 25,280,000,000,000 miles.

We obtain around 140444444 hours by dividing by 18000.

roughly 160 000 years.

To Proxia, then. In the triplet of Centauri, a G-type is located roughly at the same distance.

Tau Ceti, however, is the only G-type star in our solar system, which is what you're looking for. 11 light years.

Give or take 400,000 years is a good estimate.

The rate at which an object moves in relation to a reference point is measured as its speed. It is regarded as a magnitude or scalar quantity and has no direction. The formula: can be used to calculate speed.

Speed equals Distance/Time.

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The value of the spring constant of the spring is found to be 14034N-m.

The spring that is suspended vertically has a weight 5.8kg attached to it. This weight lower down and stretches the spring to a distance 8.11cm.

Now, we know,

The work done by gravity on the mass = Work done by spring.

So, we can write,

Mgx = 1/2Kx²

Mg = 1/2Kx

Where,

M is the mass,

g is the gravitational acceleration,

K is the spring constant,

x is the distance by which the spring stretches.

5.8  x 9.8 = 0.5 x K x  0.0081

K = 14034 N-m.

So, the value of the spring constant is 14.034 N-m.

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The statements that are true in regards to the anatomy and structure of the sympathetic division are:

Neuron cell bodies are mainly found in the horns of their spinal cord segments.

The sympathetic trunk ganglia house sympathetic ganglionic neuron cell bodies.

The splanchnic nerves are composed of preganglionic sympathetic axons that did not synapse in a sympathetic trunk ganglion.

The nervous system is a highly complex part of an animal that coordinates its actions and sensory information by sending signals to and from various parts of its body. The nervous system detects environmental changes that affect the body and then collaborates with the endocrine system to respond.

Around 550 to 600 million years ago, wormlike organisms developed nervous tissue. It is divided into two parts in vertebrates: the central nervous system (CNS) and the peripheral nervous system (PNS). The CNS is made up of the brain and the spinal cord.

The presence of a special type of cell known as a neuron defines the nervous system at the cellular level. Neurons have unique structures that allow them to send signals to other cells quickly and precisely. They transmit these signals as electrochemical impulses traveling along thin fibers called axons, which can be directly transmitted to neighboring cells via electrical synapses or cause chemicals called neurotransmitters to be released via chemical synapses.

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The Moon and Sun, along with all other celestial objects, appear to travel across the sky from east to west as the Earth spins on its axis from west to east.

The Moon, however, orbits Earth in the same direction as our planet rotates when seen from above. So the Moon does move through our sky from west to east, albeit so slowly that we hardly ever observe it.

But during a total solar eclipse, we can observe the Moon's actual motion as it moves from west to east across the face of the Sun.

The Moon's shadow follows it as it moves in the same direction and creates a path across the surface of the Earth. Because it is tidally locked to our planet, the Moon always seems the same to us from here on Earth.

Therefore, The Moon and Sun, along with all other celestial objects, appear to travel across the sky from east to west as the Earth spins on its axis from west to east.

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There are 2 lone pairs in a molecule with square planar geometry  with six electron regions.

The stereochemistry of different molecular compounds is revealed by the Square Planar molecular geometry. This molecule's form is known as square planar when the center atom has four bonds and two lone pairs. The chemical compound xenon tetrafluoride (XeF4) has a square planar structure. Six equally spaced sp3d2 (or d2sp3) hybrid orbitals are placed at 90° angles to form the XeF4 molecule.

The hybrid orbitals have a unique geometry that dates back to their genesis. However, some elements alter the geometry, which in turn changes the molecules' overall shape.

One of the geometries that characterizes a particular atom hybridization is square planar. One core atom is surrounded by bonds to four additional atoms in a planar configuration. This shape produces dsp2 hybridization, which is hybridization.

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If the plane is flying horizontally and suddenly pulls upward, the nose of the plane tends to move upwards as the tail moves downwards.

A plane (formally an airplane) is a fixed-wing aircraft that is propelled forward by the thrust of a jet engine, propeller, or rocket engine.

All flight controls use the same basic lift principles as wings. When the pilot moves the controls, they produce lift of nose either up or down.

When the pilot pulls on the control column, the elevator moves up. This creates a wing-like curve on the surface that pulls the tail down. By moving the tail down, the nose of the aircraft rises.

When the pilot pushes forward on the controls, the elevator points down. The opposite happens and there is a lift that pulls the tail up. Pulling the tail up causes the nose of the plane to drop down.

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The magnitude of the friction force on the box is 36N.

The force applied by the man to push the box of mass 80kg is 180N.

the acceleration of the block is 1.80m/s².

Now, we know,

Acceleration = Net force/mass

A = F/M

Now, the net force will be applied force minus frictional force.

So, if the frictional force is Fr and the applied force is F, then we can write,

a = F-Fr/M

Putting values,

1.80 = 180-Fr/80

Fr = 36N.

So, the frictional force is 36N in magnitude.

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A divergent lens with a magnitude 25.0 cm focal length is placed 50.0 cm away from an object that is 4.0 cm tall. 1.3 cm height and 16.7 cm on the same side as the object, a virtual image is created.

Given that the height of object (h) = 4cm

distance of object from diverging lens (u) =  -50cm

focal length of diverging lens (f) = -25cm

The expression for the lens equation is 1/f=1/v+1/u

-1/25 = 1/v+1/50

1/v = 1/50-1/25 = -3/50 Then v= -16.7cm

Determine the height of the image.

image height/object height = -v/u

image height/4 = -(-16.7)/50 =

image height = 1.336cm

The negative sign denotes that the picture will be virtual and will be on the same side of the object.

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0.414 g is the mass, in grams, of solute in 0.175 l of 3.17 ´ 10-2 m kcl .

The mass of the solute can be calculated using the formula mass of solute=volume of solution * concentration of solution.

Identify the overall volume of the solution.

Note  the mass concentration.

To find the mass of the solute, multiply the volume by the mass concentration of the solution.

The concentration of the solute is expressed in terms of mass or moles. By multiplying the grammes of solute per gramme of solution by 100, the mass percent of a solution can be computed. of the mass Formula.

A substance that has dissolved in a solution is referred to as a solute. Solvents are substances that help solutes dissolve in solutions. The amount of a solute present per litre of a solution is measured in grammes per litre.

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According to the question if the force acts on the bullet for 0.1 sec the final velocity of the bullet is 800 m/s.

In science, the term "force" has a particular definition. At this point, describing a force as pushing or pulling is quite acceptable. In the notion of a force, there both are living organisms and inanimate objects.

F = m x a

Solving for a,

a = F/m

Substituting the known values,

a = (200 N)/(0.025 kg) = 8000 m/s²

The maximum velocity of the bullet is the product of the acceleration and the given time.

v = (8000 m/s²)(0.1 s) = 800 m/s

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Answer:

P. E = mgh

when g= 10ms^-1

1000j = 5 × 10 × h

1000j = 50h

h = 1000 ÷ 50

h = 2Om

A solenoid of length has turns of wire and a radius of,  the self-inductance of the solenoid will be L = (μN²A) / l

The ability of a coil to withstand changes in current within itself is referred to as its self-inductance. An electromagnetic field is produced whenever there is a change in the current that is flowing through a coil. The strength of this field is related to the rate at which the current in the coil is changing.

Therefore, the coil's inductance is

    L = (μN^2A) /l

Additionally, for a given current, it won't change because it depends on the current change rather than the current itself.

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There were 585 gm of nacl (mm = 58.5 g/mol) in the 100 µl of PBS solution.

As per the details given in the above question are as bellow,

The details are as follow,

100 µl contained the mass of Nacl (mm=58.5 g/mol).

Nacl=0.1mM  [tex]\left(1 \mathrm{mM}=10^{-3} \mathrm{M}\right)[/tex]

Solving further we get,

[tex]& \Rightarrow 0.1 \times 10^{-3} M=0.1 \times 10^{-3} \frac{\mathrm{mol}}{\mathrm{L}}[/tex]

Now taking the volume,

Volume taken = 100 μL. [tex]\quad\left(1_\mu=10^{-6}\right)[/tex]

[tex]& \Rightarrow 100 \times 10^{-6} \mathrm{~L}=10^{-4} \mathrm{~L} \text {. }[/tex]

Molarity into Volume is the definition of a mole.

[tex]=0.1 \times 10^{-3} \frac{\mathrm{mol}}{\mathrm{L}} \times 10^{-4} \mathrm{~L} \\[/tex]

Further we get,

[tex]& =0.1 \times 10^{-7} \mathrm{~mol} \\[/tex]

We get the mole is,

mole =58.5 g/mol

[tex]& \Rightarrow 0.1 \times 10^{-7} \mathrm{~mol}=58.5 \frac{\mathrm{g}}{\mathrm{m}=1} \times 0.1 \times 10^{-7} \mathrm{m.1}[/tex]

Solving further we get,

[tex]& =0.585 \times 10^{-6} \mathrm{gm}=585 \times 10^{-9} \mathrm{gm} .[/tex]

=585gm

Molarity

A solute's concentration in a solution, specifically the quantity of it per unit volume of solution, is measured by its molar concentration, which is a chemical word. The number of moles per litre, denoted by the unit sign mol/L, is the molarity unit that is most frequently used in chemistry.

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The magnitude of an impulse that the player applies is simply the absolute value of this result or 66.57 Ns.

To find the impulse applied to the ball, you can use the impulse-momentum theorem, which states that the impulse applied to an object is equal to the change in momentum of the object. The momentum of an object is equal to its mass times its velocity, so the change in momentum of the ball is equal to the difference between its final momentum and its initial momentum.

Plugging in the values given in the problem, we find that the change in momentum of the ball is equal to (-19.7 m/s) - (3.74 m/s) = -23.44 m/s. The mass of the ball is 0.350 kg, so the impulse applied to the ball is equal to the change in momentum divided by the mass, or (-23.44 m/s) / (0.350 kg) = -66.57 Ns. The magnitude of this impulse is simply the absolute value of this result, or 66.57 Ns.

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Simple Answer: The Sun will exhaust the hydrogen fuel in its core and start burning helium.

Explanation:

The sun expands, and it becomes a "Red Giant." During this time, it will engulf the inner planets (Earth, Venus, mercury and mars) After a billion or so years, it would have used all of its remaining helium and would have become have a white dwarf.

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The scientific theory which says that at the time of creation of universe an equal amount of matter and antimatter was created is still under research. So, it is not possible to say whether the statement is true or false.

In the early universe, there should have been equal amounts of matter and antimatter created by the Big Bang. In any case, today, all that we see from the tiniest life forms on Earth to the biggest heavenly bodies is made up of matter. So, when comparison is drawn there is not that amount of antimatter. The balance must have been shifted by some event. Finding out what happened to the antimatter or why there is an asymmetry between matter and antimatter is one of the most difficult problems in physics.

Despite having opposite properties like electric charge, antimatter particles have the same mass as their matter counterparts. The opposite of the negatively charged electron, for instance, is the positively charged positron. Particles of matter and antimatter are always made in pairs, and if they come in contact with each other, they explode, leaving behind only energy. Particle-antiparticle came into existence just a fraction of seconds after the big bang. It appears that the universe would only contain energy leftover from the creation and destruction of matter and antimatter together.

However, a very small amount of matter, about one particle per billion, was able to survive. Particle physics experiments have demonstrated over the past few decades that the natural laws do not apply equally to matter and antimatter. Physicists are interested in figuring out the reason. Before they decay, researchers have observed millions of spontaneous transformations between particles and their antiparticles.

By studying the subtle differences in the behavior of matter and antimatter particles produced by high-energy proton collisions at the Large Hadron Collider, physicists may be able to determine the nature of this process. Scientists may gain a better understanding of the reasons for the abundance of matter in our universe by studying this imbalance.

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Wave interference describes the process through which one set of waves interacts with another. When waves going in different directions collide, interference can occur. The amplitudes of the two waves are altered as they interact with one another.

As the two waves cancel each other out, the total displacement is the sum of the two separate ones. Any time there are many waves in the same medium, the principle of superposition can be applied to them. When the waves encounter one another, they just travel through without being affected.

Simply adding up the individual wave displacements yields the net displacement of the medium at any given location and instant in time. This holds for both periodic sine waves and short-lived, pulsing waves.

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The resulting change in water temperature be in order to gain 419 J of energy is 1000 degrees Celsius.

The heat capacity of water is 4.186 J/gC.

Now, it is given that, 100 grams of water is heated and the change in heat of water is 419J.

We are aware that the compound's change in heat is represented by the formula,

Q = MC∆T

The heat or energy gained, and Q

water has a heat capability of C.

T is the overall change in water's temperature.

Setting values in the aforementioned relation appropriately

419 = 0.1 x 4.186 x T

T = 1000 Degrees Celsius.

Therefore, the resulting change in temperature of water is 1000 Degrees Celsius.

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A person scuffing her feet on a wool rug on a dry day accumulates a net charge of - 52 μC. According to the query, the person is walking barefoot on a dry day under a wool rug.

Since the electron affinity of wool is lower than that of the human body, some electrons will be transported from the wool to the wearer's foot.

His feet had acquired a total of -52 micro coulomb of charge.

We are required to determine the overall surplus of excess electrons. A significant quantity of electronic charge is delivered to the body anytime it receives a negative charge.

Consequently, the total charge=number of electrons 1 electronic charge

i.e q=ne

Here, n is the total number of electrons, while e stands for one electron's charge.

we know that [tex]e=-1.602x10^{-19} coulomb[/tex]

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The electron cloud is a model used to describe the behavior of electrons in an atom. Electrons move around the nucleus in a wave-like motion with a certain amount of energy and the outermost electrons are called valence electrons.

The electron cloud is an abstract concept used to describe the behavior of electrons in an atom. It is the region of space where the probability of finding an electron is highest. Electrons move around the nucleus in a cloud-like shape and occupy the space around the nucleus, rather than being confined to a specific orbit.

Electrons move around the nucleus in a wave-like motion with a certain amount of energy. This energy is related to the orbit of the electron, as electrons in higher energy levels are further away from the nucleus than those in lower energy levels. Electrons can move from one energy level to another by emitting or absorbing energy in the form of a photon.

These electrons determine how an atom interacts with other atoms and are responsible for chemical bonding. Valence electrons are the most easily removed from the atom and are important in determining the reactivity of an element.

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Heat energy amount 0.99J which refrigerator deliver to the reservoir at 320K.

We know that for refrigerator we need to find the cooling factor. For cooling factor we know that cooling factor is find by the ratio of temperature at different times. Heat energy is released by the refrigerator for making cooling factor as maximum as possible.

Using the formula of cooling factor, we get

=>β = T₂/T₁ -1

where T₂ is temperature after refrigerator lose heat

and T₁ is temperature before lose heat

415=T₂/270 -1

=>415+1 = T₂/270

=>416=T₂/270

=>T₂=416 ˣ 270

=>T₂=112320

Now, we need to find the energy at temperature 320K and at T₂.

So, Heat Energy=1 - 320/112320

=> Heat Energy=(112320-320)/112320

=>Heat Energy=112000/112320

=>Heat Energy=0.99J

Hence, heat energy deliver to the reservoir is 0.99J

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The linear momentum of a body is defined as the product of its mass and its velocity.

Every body moving in a straight line has linear momentum whereas a body which is rotating carries angular momentum. It is a dimensional variable with dimension MLT⁻¹

Linear momentum is the product of mass and velocity. A body with larger mass has a larger linear momentum and vice- versa. The fact that we can stop a moving cycle coming in front of us with our hands but not a truck can be accounted to the greater linear momentum of truck due to its greater mass and high velocity.

Linear momentum of a body is a vector quantity. A vector quantity is the one which has both direction and magnitude hence we can say that linear momentum has the same direction as the velocity. Generally, the linear momentum is denoted by letter 'p'. The SI unit of linear momentum is kgm/s.

The formula for linear momentum is p=mv.

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Our neighborhood galactic center's black hollow,, is a supermassive black hollow with a mass of approximately 4 million suns, which in all fairness small for a supermassive black hollow.

NASA's Hubble Space Telescope and different telescopes have decided that many galaxies have supermassive black holes at their centere. Once in the black hollow's occasion horizon, rely could be torn aside into its smallest subatomic additives and sooner or later be squeezed into the singularity.

As the singularity accumulates increasingly rely, the scale of the black hollow's occasion horizon will increase proportionally. Quasars are believed to be powered through accretion of cloth into supermassive black holes withinside the nuclei of remote galaxies, making those luminous variations of the overall elegance of items referred to as lively galaxies.rely falling into super-big black holes withinside the facilities of a few galaxies is idea to be the supply.

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The young infant must be seated 1.8 meters away from the pivot point in order to balance the distance.

Permit A to be the firstborn.

A second child should be named B.

the following information:

20.0 kg for A's mass

30.0 kg for B's mass

Distance: 3.00 m

Allow n to represent the distance from the pivot.

Note: The distance between the child and the pivot is equal to

As an example:

clockwise moment equals counterclockwise moment

30(3 - n) = 20n

1.8 meters is equal to 90 - 30n n, or 90/50.

Distance is the overall movement of an object without consideration of direction. Regardless of an object's starting or ending position, distance can be defined as the amount of ground it has covered. Distance is a scalar quantity that describes "how much ground an object has covered" while moving. Displacement is a vector number that describes "how far out of place an object is," and it is the object's overall change in position.

Question :

Two children of mass 20.0 kg and 30.0 kg sit balanced on a seesaw with the pivot point located at the center of the seesaw. If the children are separated by a distance of 3.00 m, at what distance from the pivot point is the small child sitting in order to maintain the balance

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