At a hydroelectric power plant, water is directed at high speed against turbine blades on an axle that turns an electric generator. For maximum power generation, should the turbine be designed so that the water is brought to a dead stop, or so that the water rebounds? If only an external force can change the momentum of the center of mass of an object, how can the internal force of the engine accelerate a car?

The position versus time plot of driven harmonic motion when the driving frequency is slightly higher than the theoretical natural frequency will show a sinusoidal oscillation with a gradually increasing amplitude.

What is harmonic?
A harmonic wave, like a sinusoidal wave, has a frequency that is an integer multiple of the basic frequency, or the frequency of the initial periodic signal. The first harmonic of the original signal is also referred to as that; higher harmonics are the other harmonics. The sum of harmonics is periodic at the fundamental frequency because all harmonics are at that frequency as well. A harmonic series is formed by the group of harmonics.

The phrase is used in a variety of fields, including radio technology, physics, acoustics, power electronics transmission, and music. For instance, if indeed the frequency response is 50 Hz, which is a typical AC power supply frequency, the first three higher harmonics' frequencies are 100 Hz (second harmonic), 150 Hz, and 200 Hz (3rd harmonic).

As the driving frequency increases, the amplitude of the oscillation will become more pronounced and eventually reach a peak before decaying back to the original amplitude. The period of the oscillation will remain constant, even as the amplitude increases.

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Because a quick manifestation of charge is a monopole and electromagnetism theory states that a monopole cannot radiate, it cannot transmit electromagnetic waves.

Since electrons are always generated in pairs with positrons and the electron-positron dipole does broadcast its changing state as an electromagnetic wave at the speed of light, we actually never have to deal with this conundrum. Maxwell's equations reveal that all of space "knows" that a charge exists in the form of a field or a potential, both of which instantly fill space. Because these charges have always existed alongside their corresponding opposite charges, which may now be located elsewhere, this does not contradict the speed limit of light propagation.

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If a crossover 260 v/m magnetic field will render the path straight, then the value of q/m for a piece moving within a circle at size 6.8 mm in some kind of a 0.50 t magnetic field is 0.0982 T.m2.

The region around a magnet where the effects of magnetism are felt is known as the magnetic field. To describe that how magnetic force is dispersed in the area around and inside something magnetic in nature, we utilize the magnetic flux as a tool.

Briefing :

Given, magnitude of magnetic field, B = 0.5 T

radius of the loop, r = 6.88 m

Area  is given by;

A = πr²

A = 3.142 x (6.88)²

A = 148.72 m²

The magnitude of the magnetic flux through the loop is given by;

Ф = BA

Where;

B is the magnitude of the magnetic field

A is area of the field

Ф = 0.5 x 0.1964

Ф = 0.0982 T.m²

Therefore, the magnitude of the magnetic flux through the loop is 0.0982 T.m²

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The rank of the terrestrial planets based on their expected cooling rates, from fastest cooling to slowest cooling is as follows -

mercury , Mars, Venus, Earth

Mercury - It is the smallest terrestrial planet in the solar system. It has a thin atmosphere, which causes it to swing between burning and freezing temperatures.

Mars - It is less dense than Earth and has a smaller magnetic field, which is a indication of a solid core rather than a liquid one. Mars is known to have water ice and organics- some of the ingredients for living things.

Venus - It is about the same size as Earth and has a thick, toxic carbon-monoxide (CO) dominated atmosphere that traps heat, making it the hottest planet in the solar system.

Earth - Out of the four terrestrial planets, Earth is the largest and has regular seasons for much of it surface; regions closer to the equator tend to stay warm, while spots closer to the poles are cooler and in the winter, icy.

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27.5 m/s. If the average force exerted on the arrow by the bow was increased 3 times and the arrow was accelerated over the same distance

The force in the biceps muscle increases as the arm is raised.

Weight lifting is an effective form of exercise for strengthening the biceps muscles. The biceps are the muscles located on the front of the upper arm and are responsible for flexing the arm and bending the elbow. As the weight lifter raises the arm, the force in the biceps muscle increases and the muscles become stronger.

Weight lifting can be beneficial for any individual looking to:

The muscle fibers in the biceps become stronger and more efficient as they are worked with weights. This helps to improve the range of motion of the arms and makes them more capable of performing daily tasks.

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(a) The maximum speed of emitted electrons is 5.67 x 10^−19 J

(b) The work function is 2 x 10^-19 eV and the metal is Cesium

It is given that

Wavelength of light = 350 nm

We have to find maximum speed and work function

(a)

We use the energy of a photon equation, which states that,

E = hf

h is Planck's constant, which is

h = 6.62 x 10^-34 Js

f is the frequency in hertz

So here:

f = c/λ

f = 3*10^8 m/s/3.5*10^-7 m

f = 8.57 x 10^14 Hz

E = 6.62 x 10^-34 Js x 8.57 x 10^14 Hz

E = 5.67 x 10^−19 J

(b)

Work Function = eVs where Vs is the stopping potential.

Vs = 1.25 V

e = 1.6 x 10^-19 C

Work function = 1.6 x 10^-19 C x 1.25 V

Work function = 2 x 10^-19 eV

Hence, the Cesium is the metal whose work function is 2 x 10^-19 eV

Maximum speed of emitted electrons is 5.67 x 10^−19 J

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Mass of the astronaut on the moon is 61.22 because the acceleration due to gravity on the surface of the moon is about 1/6 that on the surface of earth.

Gravitational acceleration is the acceleration gained by an object due to the force of gravity.

Weight of the astronaut on the Earth = w = 600 N

Mass of the astronaut on the Earth = w/g

Mass m = 600/9.8

m = 61.22 kg

Mass of the astronaut will remain same on the Moon but the weight will change due to the change in the acceleration due to gravity on the surface of the moon.

Acceleration due to gravity on the surface of the moon is about 1/6 that on the surface of earth i.e. g' = g/ 6

g' = 9.81/6

g' = 1.63

Weight of the Astronaut on the surface of the moon = m * g'

W' = 100.094 N

Mass will be 61.22 kg and the weight will be 100.94 N on the surface of the moon.

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The displacement of the particle from the equilibrium position is 8.33 cm.

What is displacement?

Changes in an object's position are referred to as displacement. A vector quantity, it has both a direction and a magnitude. An arrow that directs viewers from the starting position to the ending position is used to symbolize it. As an illustration, the position of an object changes if it moves from position A to position B.

The displacement from equilibrium of the mass at the time, t = 1.25 s is

Mass, m = 15.5 kg

Frequency, f = 17.73 Hz

Maximum amplitude, A = 12.8 cm

t = 1.25 s

The equation of the simple harmonic motion

y = A Sin ωt

y =  A Sin (2 x π x f x t)

put, t = 1.25 s, A = 12.8 cm, f = 17.73 Hz

y = 12.8 Sin ( 2 x 3.14 x 17.73 x 1.25)

y = 12.8 Sin 139.38

y = 8.33 cm

So, the displacement of the particle from the equilibrium position is 8.33 cm.

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I understand the question you are looking for is:

A 15.5 kg mass vibrates in simple harmonic motion with a frequency of 17.73 Hz. It has a maximum displacement from equilibrium of 12.8 cm at time, t = 0.00 s. The displacement from equilibrium of the mass at time, t = 1.25 s is_______?

The presence of impurities in the objects you measured could affect your results in a variety of ways.

What is impurities?
Impurities seem to be chemical substances that differ from of the chemical composition of the substance or compound and are contained within a small volume of liquid, gas, or solid in chemistry as well as materials science. A pure chemical should, first and foremost, thermodynamically exist in at least each chemical step and also be distinguishable by its one-component phase diagram. Second, a pure chemical should, in practise, show to be homogeneous. All attempts as well as tests at further purification and separation will fail with the ideal pure chemical. Thirdly, it should be completely free of all traces of any other chemical species. Here, we concentrate on the common chemical definition.

Impurities can cause irregularities in the object's surface or internal structure, which can lead to inaccurate measurements. Impurities can also interfere with the accuracy of tests that measure physical or chemical properties of the object, such as its density or its electrical conductivity. Furthermore, impurities can lead to contamination of the measuring tools themselves, which can cause inaccurate results.

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The angular velocity after 11.4s is 52.56 rad/s

[tex]w_{f}=w_{0}+at[/tex]

Given:[tex]w_{0}=2.10,a=4.40,t=11.4[/tex]

[tex]w_{f}=2.10+4.40*11.4\\w_{f}=52.56[/tex]

What is angular velocity?
Angular velocity is a vector quantity and is described as the rate of change of angular displacement which specifies the angular speed or rotational speed of an object and the axis about which the object is rotating.

What are angular velocity and acceleration?
Angular velocity is the rate of change of angular displacement and angular acceleration is the rate of change of angular velocity.

Are angular velocity and momentum the same?
While linear momentum is P = MV, where M is mass and V is velocity, angular momentum L = Iw, where I is rotational inertia and w (we use w instead of small Omega, the conventional symbol) is angular velocity. Angular velocity is just the angle the mass rotates in an interval of time. w has the units of radians/second.

Thus, the angular velocity is 52.56 rad/s

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According to the query, the cylinder accelerates to 4.9 m/s² and travels 22.05 m in 3.0 seconds.

Acceleration refers to the rate where the the speed and direction of velocity vary over time. A point of object going straight ahead is accelerated when it accelerates or decelerates. Even when the speed stays constant, travel on a circle accelerates because the orientation is always shifting.

Acceleration for cylinder is

a = g*sin30°

a = 9.8*1/2

a = 4.9 m/s²

Therefore the distance travelled in 3.0 seconds,

Using equation of motion,

s = ut + 1/2at²

s = 0 + 1/2(4.9)(3)²

s = 22.05m

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The complete question is-

A Solid Cylinder Rolls Down An Incline At 30° From Rest.

(A) What Is Its Acceleration?

(B) How Far Does It Go In 3.0 S?

If you are more than 3,000 AGL, you must be flying at an odd-thousand MSL altitude +500 feet on a magnetic course of 0-179, in accordance with FAR 91.159. Additionally, if you are flying a magnetic course of 180-359, you should fly at an altitude of 1,000 feet plus 500 feet.

Altitude :

A distance measurement between a reference datum and a point or object, typically in the vertical or "up" direction, is known as altitude, height, or depth. Depending on the context, different definitions and reference points are used. Although the term "altitude" is frequently used to refer to a location's height above sea level, the term "elevation" is frequently preferred in the context of geography.

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The puck's kinetic friction coefficient only with shuffleboard court's surface is 0.24.

It is known as a force that exists between moving surfaces as kinetic friction. A force that operates in the opposing direction to the motion of a body on the surface is felt. The percentage of kinetic friction of the two materials will determine the size of the force.

Briefing:

Given  ,The mass of puck is, m = 0.50 kg.

The magnitude of frictional force is, f = 1.2 N.

The force which tends to oppose the motion between an object and the surface is known as frictional force. And its value is,

F= μ × mg

here,   is the coefficient of kinetic friction between the puck and the surface of the shuffleboard court.

Solving as ,

1.2 = u × 0.50 × 9.8

 μ =  [tex]\frac{1.2}{0.50 . 9.8}[/tex]

 μ = 0.24

Thus, we can conclude that the coefficient of kinetic friction between the puck and the surface of the shuffleboard court is 0.24.

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4.5 * 10⁷ J energy, in joules, is needed to make it oscillate with an amplitude of 0.095 m.

The highest payout of a current or voltage is its amplitude. Either of the diffraction signals of the sine wave can be used to symbolize it. The peak voltage is another name for this voltage level, which might be positive or negative. Positive and negative only describe the flow of current in one direction.

From the periodic motion  we know that the energy of the system :

E = 1/2 kA²

E is the system's energy reserve.

The spring's amplitude is denoted by A.

The spring constant is k.

A = 0.95 m

k = 1.1 × 10⁸

Putting in known data to obtain

E = 1/2 k A²

E = 1/ 2 * 100 * 10⁸ * 0.95²

E =  4.5 * 10⁷ J

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Question is incomplete the complete question is:

A student runs an experiment in which a block of known mass is moving across a horizontal table in an xy-coordinate plane. As the block reaches the origin of the coordinate system, the block explodes into two pieces of masses m1 and m2. During the experiment, the velocity of the block 1.0 second before the explosion and the velocity of the two pieces 1.0 second after the explosion are measured using a motion sensor. Conservation of momentum is applied using the masses of the two pieces. However, when the velocity of the piece of mass m2 is calculated, the measured value is 10% less than the calculated value. Which of the following statements best explains the difference in the calculated and measured velocity?

A) As the block is moving across the table, friction will affect the block’s motion and thus could account for the difference.

B) It is possible that a small amount of the original block was lost during the explosion.

C) When the student did the calculation, the student assumed that the explosion occurred just as the block reached the origin. The difference in velocity could be due to the explosion occurring either just before or just after the origin.

D) The explosion created a force that affected the experiment.

E) Conservation of momentum is not the correct equation to apply to the explosion, since the two pieces apply forces to each other.

The correct explanation will be as the block is moving across the table, friction will affect the block’s motion and thus could account for the difference.

What is friction?

Moving things lose energy and slow down due to the friction force that resists their motion. A fluid, like air or water, exerts a frictional force on moving objects when they travel through it. A fluid's frictional force is referred to as a drag force.

Effect of friction on motion?

An opposing force to the relative motion of two objects is friction. You will be researching kinetic friction for this assignment (also called sliding friction). Kinetic friction is the process by which some of the kinetic energy of motion between two objects is transformed into heat. The same thing happens when two objects are sliding past one another-for example, when you push a box across the floor.

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Magnitude of current required is 1630 amp.

Current can be defined as the rate of flow of charge.

Since Faraday represents the magnitude of electric charge per mole of the electron

Mass can be given as:

mass = molar mass * faradays used/faradays needed

1 faraday = 1C/96500

Na + (aq) + e- -> Na(s) : one electron is transferred so faradays needed to produce 23.0g Na is 1

1.4kg*1000 = 1400g

1400g = 23.0g/mol * Fu/1f

Fu (faradays used) = Coulombs/96500 (faraday constant)

Fu = 60.9f=Q/96500

Q = 96500*60.9= 5.88*10^6

As we know that, Q = I*t

5.88*106= I*3600s(1h=60min=3600s)

I=1630amps

The current required to produce 1.4 kg of sodium metal in one hour is 1630 amperes.

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If a metal cools  while releasing 160 j of heat energy, its specific heat capacity is 1.4222 J/kg. In the event that the metal weighs 5.0 g

How is the change of specific heat calculated given the temperature?

The equation q = mcT, where m is the sample mass, c is the specific heat, and T is the temperature change, can be used to determine how much heat is absorbed or lost by a sample (q).

T₁ = 225°C

T₂ = 25°C

q = -160 J

m = 5.0 g

As we know,

q = mcΔT

Now,

-160 = 5*c*(T₂-T₁)

-160 = 5*c*(25-225)

c = -160/5(-200)

c = 0.16 J/g°c.

How can you determine the ultimate temperature given the initial?

To calculate your substance's final heat, multiply the temperature change by the starting temperature.For instance, if your water started out at 24 degrees Celsius, it final

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The displacer receives a stronger force as the liquid level rises, appears heavier to the device, which takes the dieting as an increment and sends the equal signal.

The balance of a creature floating for still water depends on Archimede's Principle, which asserts that such a body in a liquid suffers an upthrust proportional to the volume of the fluid expelled. Gravity exerts a downward force on a body that is free-floating in calm water.

The upward force that is applied to a body submerged in a fluid, whether wholly or partially, is equivalent to the mass of displaced fluid, according to Archimedes' principle (sometimes spelled Archimedes' principle). The Archimedes' rule is a fundamental physical law in fluid mechanics.

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Answer: physical characteristic during the formation of the solar system most significantly contributed to the distinction between the two types of planets

Instead, look for the crucial physical characteristic that, during the formation of the solar system, distinguished between the two kinds of planets.

Explanation: What characteristics does the solar system have in terms of physics?

Dimensions of the Solar System

The novice teacher lists the characteristics of the solar system's constituent parts. defining ideas The Sun is the centre of the solar system, which also includes planets, dwarf planets, moons, comets, asteroids, meteoroids, dust, atomic particles, electromagnetic radiation, and magnetic fields.

Which two broad categories would you say our solar system's planets fall under?

The two categories of planets—terrestrial and giant—are typically used to categorize them. The four inner planets make up the four terrestrial planets: Mercury,

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The speed of the satellite at perigee is 7074.27 m/s

What is satellite?
An object that has been placed into orbit in space on purpose is known as a satellite as well as artificial satellite. Most satellites, with the exception of passive satellites, have a means of generating electricity for the equipment they carry, such as solar panels as well as radioisotope thermoelectric generators (RTGs). The majority of satellites also have transponders, which are a type of ground station communication system. The most common satellites, small CubeSats, use a standardised bus to reduce costs and labour. Satellites of a similar type can cooperate with one another to form constellations. Satellites are made to be as light and durable as possible due to the high cost of space launch. Numerous transponders, with a bandwidth of dozens of megahertz, are carried by the majority of communication satellites, which are radio relay channels in orbit.

The speed of the satellite at perigee can be calculated using the equation of conservation of energy:
e = (½) mv2 - G(Mm/r)

Where e is the total energy of the satellite, m is its mass, v is its velocity, G is the gravitational constant, M is the mass of the Earth, and r is its distance from the Earth's center.

At apogee, the total energy of the satellite is:
e1 = (½) mv12 - G(Mm/r1)

At perigee, the total energy of the satellite is:
e2 = (½) mv22 - G(Mm/r2)

Equating the two expressions, we get:
(½) mv12 - G(Mm/r1) = (½) mv22 - G(Mm/r2)

Substituting the given values, we get:
(½)(6260 m/s)2 - G(Mm/2500 km) = (½) mv22 - G(Mm/500 km)

Rearranging the equation, we get:

mv22 = (½)(6260 m/s)2 - G(Mm/2500 km) + G(Mm/500 km)

Taking the square root of both sides, we get:
v2 = √[(½)(6260 m/s)2 - G(Mm/2500 km) + G(Mm/500 km)]

Finally, we get:
v = √[(½)(6260 m/s)2 - G(Mm/2500 km) + G(Mm/500 km)]

Therefore, the speed of the satellite at perigee is:
v = √[(½)(6260 m/s)2 - G(Mm/2500 km) + G(Mm/500 km)] ≈ 7074.27 m/s

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When a metal car is struck by lightning, the resulting electric field inside the car is zero.

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The net force would cause the velocity of the body to change and it would accelerate.

We know that the force that is acting on a body is a vector quantity. If the force is a vector quantity, the implication of this is that the force would have both a magnitude and direction.

According to the Newton first law of motion, if an object is acted upon by an unbalanced force, the result of this is that the velocity of the object would change and the object would accelerate.

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We are likely to acquire moderate-resolution photos and spectra of Earth-like planets around other stars in ten or twenty years thanks to space observatories that are currently in the planning phases.

What are stars ?

Large celestial bodies known as stars are primarily composed of hydrogen and helium and generate light and heat in their centres from churning nuclear forges. Only a very small portion of the tens of billions of trillions of stars in the observable cosmos are visible to the unaided eye.

The enormous volumes of radiation emanating from the planet's host star overwhelm any light reflected off the planet or heat radiation from the planet itself. The only way to find life on other planets is through the analysis of their spectra, which will enable us to find chemicals in other atmospheres and even look for surface features that might be signs of life.

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The coefficient of friction between the cube and the ground is 0.177.

Friction is a shape of contact pressure. It exists between the surfaces that are in touch. The frictional force relies upon on the character of the floor in contact. The rougher the ground, the extra the friction is involved. The frictional force is proportional to the urgent pressure, that is the burden of the body. it's miles impartial of the place of the touch.

Calculation:-

F = ma

  = 54 × 1.3 m/s²

  = 70.2

force required = 164 N

so friction force = 164 - 70.2 N

                           = 93.8 N

normal force = mg

                      = 54 × 9.8

                      = 529.2 N

Friction force = μN

    μ = Friction force/N

        = 93.8 / 529.2

         = 0.177

Friction is the force resisting the relative motion of sturdy surfaces, fluid layers, and material factors sliding towards each specific. There are numerous styles of friction. Dry friction is a strain that opposes the relative lateral movement of two stable surfaces in touch.

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The impedance of the circuit is 193.9 ohms. The result is obtained by dividing the applied voltage by the total current.

In a parallel RC (resistance and reactance) circuit, impedance can be expressed as

[tex]Z = \frac{RX_{c} }{\sqrt{R^{2} + X_{c}^{2} } }[/tex]

Z = V/I

Where

We have:

The impedance should be found by determining the branch currents and the total current.

The branch currents are

Ir = V/R = 470/470 = 1 A

Ic = V/Xc = 470/330 = 1.424 A

In the parallel circuit, the total current is

I = Ir + Ic = 1 + 1.424 = 2.424 A

By using the total current, the impedance is

Z = V/I

Z = 470/2.424

Z = 193.9 ohms

Hence, the impedance of the parallel RC circuit is 193.9 ohms.

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The amount of air drag on an 0. 8N flying squirrel dropping vertically at terminal velocity is 0.8N.

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The tension must a rope have to support a certain mass with horizontal is 1.3671N.

T=mgsinФ

T=0.5 x 9.8 x sin6

=4.9sin6

=4.9 x 0.279

=1.3671N

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This leads us to the conclusion that if an object of mass "m" weighs "mg," then an object of mass "2m" weighs "2mg."

Mass is a crucial aspect of all matter and a measurement on inertia in physics. What a body of matter is fundamentally, is the resistance it offers to something like a change in its speed and location brought on by the application of a force. The amount of mass a body has no bearing on how much of a change a force applies.

Mass is a unit used to describe the amount of matter who makes up an object. Weight, a measure of force, is used to calculate the gravitational pull an object experiences. In contrast to mass, weight is not location-dependent.

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The large terrestrial planet never formed in the region of the asteroid belt because there was never enough mass there. Thus, option (a) is the answer.

Rocky planetesimals survived in the asteroid belt between Mars and Jupiter because they did not accrete into a planet. Jupiter's gravity, through the influence of orbital resonances, stirred up asteroid orbits and thereby prevented their accretion into a planet.

Jupiter's gravity is so strong, that it makes asteroid orbits within the Kirkwood gaps unstable. It's these gaps that prevented a single planetary body from forming in that region. So, because of Jupiter, asteroids formed into families of debris, rather than a single planetary body.

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