The speed of a moving bullet can be determined by allowing the bullet to pass through two rotating paper disks mounted a distance 99 cm apart on the same axle. From the angular displacement 26° of the two bullet holes in the disks and the rotational speed 407 rev / min of the disks, we can determine the speed of the bullet.






What is the speed of the bullet?
Answer in units of m/s.

(1) The time does pilot take the weight to hit the ground = 2.4 s

(2) The pilot travel before land = 400 m

Because fall time is proportional to fall height and acceleration due to gravity (g) is constant,

t₁ = t₂  

s₁ = initial distance

s₂ = final distance

t₁ = initial time

t₂ = final time

Hence, the time does it take the weight to hit the ground = 2.4 s

The initial distance (s₁) = 200 m, and the pilot does a run at the same height but twice the speed.

So, the  pilot travel before land:

s₂ = 2 x s₁

= 2 x 200 m

= 400 m

The question is incomplete, it should be:

There are competitions in which pilots fly small planes low over the ground and drop weights, trying to hit a target. A pilot flying low and slow drops a weight; it takes 2.4 s to hit the ground, during which it travels a horizontal distance of 200 m. Now the pilot does a run at the same height but twice the speed. How much time does it take the weight to hit the ground? How far does it travel before it lands?

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Because the sun is exactly above the objects at midday and the sun rays drop vertically just on body, the shadow at noon is much shorter than shadows with in morning or the evening.

To create a shadow, two things are required. Light is the first. The second is a light-obstructing object.

Whenever the sun is higher in the sky, less light is obstructed. As a result, shadows are shorter.

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Unit of measurement used to describe extraordinary large distances, such as distance of other stars from our own is called light year.

The unit of measurement most commonly used to describe large distances in astronomy is light-year. A light-year is the distance that light travels in one year, and is equivalent to about 5.88 trillion miles (9.46 trillion kilometers).

This unit is used because it is the most convenient way to express large distances in space, such as the distance between stars, galaxies and other celestial objects. For example, our nearest star system, Alpha Centauri, is around 4.37 light-years away, and Andromeda galaxy, closest galaxy to our Milky way, is about 2.5 million light-years away.

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Answer:

The electric field can be found using Coulomb's law, which states that the force on a point charge due to a uniform distribution of charges is given by the equation:

E = k * Q / r^2

where E is the electric field, k is Coulomb's constant, Q is the total charge, and r is the distance from the point charge to the center of the distribution of charges.

In this problem, we are given that the rod is uniformly charged and has a total charge of -19.4 µC. We are also told that the distance from the point to the center of the rod is 21.8888 cm. To find the electric field, we can substitute these values into Coulomb's law:

E = (8.98755 * 10^9 Nm^2/C^2) * (-19.4 * 10^-6 C) / (21.8888 cm)^2

converting cm to m to get the units of N/C

E = (8.98755 * 10^9 Nm^2/C^2) * (-19.4 * 10^-6 C) / (0.218888 m)^2

E = -5.54717 N/C

The magnitude of the electric field along the axis of the rod at a point 21.8888 cm from the center of the rod is -5.54717 N/C.

Note that the negative sign on the answer indicates that the electric field points in the opposite direction of the distance vector.

The maximum acceleration will be 4.9 m/s², if the truck has four wheels and the static friction coefficient is 1.

Let the mass of the truck, M

Let the force require to overcome the static friction is F.

Let the acceleration in the forward direction is a.

Coefficient of static friction, μ = 1

4 wheels(2 rear and 2 front wheels) will share the equal force of friction resistance. Force of friction will be equal to the forward force applied by the truck.

That will be F₁/2 = F₂/2 = F

F₁/2 = F₂/2 = μMg/2 = F

μMg/2 = Ma

a = μg/2

a = (1×9.81)/2

a = 4.9 m/s²

--The give question is incomplete, the complete question is:

"The truck has four-wheel drive, and the cabinet is wooden, what is it's maximum acceleration (in m/s2), if the coefficient of static friction is 1?"

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The building's height is 143.8 m in SI units, and the rock strikes the ground 6.0 seconds after just missing the building's edgr as it slides downhill.

The kinematic equations of motion that explain the vertical motion of the rock may be used to calculate the height of the construction. We may use the following equations because the rock is launched vertically upward:

Y equals vi*t plus (1/2)at2 vf

^2 = vi^2 + 2ay

The maximum height will be determined first:

y = 0 * 1.75 + (1/2)(-9.8) y = vi*t + (1/2)at2 (1.75)

^2 \sy = 15.0625 m

We shall now determine the ultimate velocity:

vf = -24.3 m/s when vf = vi + 2ay when vf = 0 + 2*(-9.8)*15.0625

Using the final velocity and duration, we can now determine the height of the building:

y=vit+(1/2)at2 y=-24.36+(1/2)(-9.8) (6)

^2 \sy = -143.8 m

The metric system that serves as the industry standard for measurements is called the International System of Units (SI).

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Energy is stored by the electric field between two square plates, 7.9 cm on a side, separated by a 2.1- mm is 0.18MV/m.

The electric field stored between two square plates, 7.9 cm on a side, separated by a 2.1-mm air gap is calculated by using the equation

E=V/d, where E is the electric field, V is the voltage, and d is the distance between the plates. The voltage is equal to the charge on the plates divided by the area of the plates,

V=Q/A.

Therefore, the electric field is equal to 14 nC/(7.9 cm)².

The electric field stored is 0.18 MV/m. This energy is expressed using two significant figures and includes the appropriate units.

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A limited access zone is an area next to a masonry wall that is being built and is clearly marked to restrict access by workers.

The restricted area must extend the entire length of the wall and have a height equivalent to the height of the proposed wall plus four feet. On the un-scaffolded side of the wall, a limited access zone must be formed. For a maximum wall height of 10.668 meters, the load-bearing masonry wall should be at least 304.8 mm (1 foot) thick (35 ft.). Additionally, for every additional 10.668 meters, the brick wall's thickness must be increased by 101.6 mm (4 inches) (35 ft).

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We can find direction by electric field diagram and magnitude remain the same despite of a change in positions.

When a proton is placed at point A and an electron is placed at point B, the direction of the electric force F is determined by the electric field line diagram. The electric force between the two charges is a vector force, which means it has both a magnitude (strength) and a direction.

The magnitude of the electric force F between a proton and an electron is determined by Coulomb's Law, which states that the magnitude of the force between two charges is in direction proportion to charges' product and in inverse proportion with their distance squared.

to the product of the two charges and inversely proportional to the square of the distance between them. Thus, the magnitude of the electric force F between the charges is independent of the direction, so the magnitudes of the electric force F between a proton and an electron, regardless of their positions, will always be the same.

The direction of the electric force F, however, is determined by the electric field line diagram. In the diagram, the electric force F is directed away from the positive charge (the proton) and toward the negative charge (the electron). Therefore, the electric force F will be directed away from point A and toward point B, making the angle relative to the +x axis clockwise, with a positive angle.

In summary, the magnitude of the electric force F between a proton and an electron will remain the same regardless of the positions of the particles, while the direction of the electric force F will be determined by the electric field line diagram, with the angle relative to the +x axis clockwise, with a positive angle.

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The air temperature where a tuning fork has a frequency of 534 hz and a wavelength of 64 cm is calculated to be 16.63 °C.

Frequency of the tuning fork = 534 hz

Wavelength = 64 cm = 64/100 m = 0.64 m

Temperature = ?

We know the relation between speed of air and temperature as,

v = 331 √(1+ T/273) ----(1)

where, T is in Celsius

The relation between speed, wavelength and frequency is said to be,

v = frequency × wavelength = 534 × 0.64 = 341.76 m/s ----(2)

Placing (2) in (1),

341.76 = 331 √(1+ T/273)

1.03 = √(1+ T/273)

1+ T/273 = 1.0609

T/273 = 0.0609

T = 16.63 °C

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The eardrum is the thin piece of tissue which is present between the outer and middle ear. This is responsible for the hearing capacity of an individual.

The eardrum, middle ear, cochlea, and pinna are important parts of the Ear. The eardrum is a thin piece of tissue which separates the outer and middle ear. Damage to this eardrum may harm hearing capacity. Mastoiditis is an infection of the bony air cells which are present in the mastoid bone, that is located just behind the ear.

Middle ear has three tiny bones including the malleus, incus and stapes.  These bones transfer sound vibrations from eardrum to the inner ear.

The cochlea is a hollow, spiral-shaped bone which is found in the inner ear that plays a key role in the sense of hearing and it also participates in the process of auditory transduction. Sound waves are transduced into electrical impulses which the brain can interpret as individual frequencies of sound.

The auricle or pinna is the visible portion of the outer ear. It is responsible for collecting the sound waves and channels them into the ear canal, where the sound is amplified.

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The electric force e = 1.6*10^-19 C) for an electron is placed at a point where the electric field (due to other charges) is where is a constant.

The electron would be an elementary particle with either an elementary electric charge of -1. Electrons are the initial generation of both the lepton particle family as well as are widely regarded as elementary particles due to the lack of known components as well as substructure.

The electric force on the electron is equal to the electric field multiplied by the charge of the electron:

F = E*e = (n/c)*1.6*10^-19 C = 1.6*10^-19*n N

The nucleus and electrons are drawn to one another by the electric force. The void created by a positive or negative charge is referred to as an electric field since it generates a field there.

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One recent significant breakthrough in space exploration is the successful landing of the Perseverance rover on Mars on February 18, 2021.

The rover is equipped with advanced instruments and technology to search for signs of past microbial life on the planet, as well as to collect samples for future return to Earth. Additionally, the mission includes the Ingenuity helicopter, which successfully completed its first controlled flight on Mars on April 19, 2021, marking the first powered, controlled flight on another planet.

The Perseverance rover, also known as the Mars 2020 mission, was launched on July 30, 2020 and landed on Mars on February 18, 2021. The rover is a car-sized robotic vehicle that is designed to explore the Martian surface and search for signs of past microbial life. It carries a number of scientific instruments, including cameras, spectrometers, drills, and a laser that can vaporize rocks to study their composition.

One of the key objectives of the mission is to collect samples of Martian rock and soil, which will be stored on the rover until a future mission can return them to Earth for further study. The rover is also equipped with a system known as MOXIE, which will attempt to produce oxygen from the carbon dioxide in the Martian atmosphere, which could be used to support human life on the planet.

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The charge on each of the particles must be 4.33 × 10⁻⁴ C, if the force between them is 148 N, and the distance between them 0.378 m.

The force between the particles is, F = 148 N

Permittivity of the free space, ε₀ = 8.8 × 10⁻¹² Far/meter

Distance between the particles, r = 0.378 m

Let the charge on each particles is equal = q

Dielectric constant of water, k = 80

Permittivity of the water, ε = kε₀ = 80 × 8.8 × 10⁻¹²

ε = 704 × 10⁻¹²

The force between two charge, F = (1/(4πε))(q²/r²)

148 = q²/(4×π×704 × 10⁻¹²×0.378²)

q² = 148 × 4×π×704 × 10⁻¹²×0.378²

q² = 1.87 × 10⁻⁷

q = 4.33 × 10⁻⁴ C

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The total voltage drop across the 1 awg aluminum conductors is 0.58 volts, if the current carried by the conductor is 36 Ampere.

Current carrying by the conductor, I = 36 A

length of the wire, l = 100 ft.

According to the ampacity Chart For AWG Aluminum Wires, The resistance of the 1 awg aluminum wire is 0.161Ω/1000 ft

So the resistance of the 100 ft wire would be, R = (0.161 × 100)/1000

R = 0.0161 Ω

So the total voltage drop will be, V = IR

V = 36 × 0.0161

V = 0.58 volt

So the total voltage drop across the conductor will be 0.58 volt.

--The given question is incomplete, the complete question is:

"a 2-wire circuit supplies a 36a load that's located 100 ft from the panelboard. the load is wired with 1 awg aluminum conductors in pvc conduit. What will be the total potential drop across the circuit conductors?"

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The speed of light is 3 × 10⁸ m/s, if the wavelength is 600 nm and the frequency of the yellow light is 500 thz.

Wavelength of the yellow light, λ = 600 nm = 6 × 10⁻⁷ m.

Let the speed of yellow light, = v

The frequency of the yellow light, = 500 thz = 5 × 10¹⁴ hz

We know the relationship between speed of the wave, wavelength and the frequency of the wave is as follows:

speed = wavelength × frequency

v = 6 × 10⁻⁷ × 5 × 10¹⁴

n = 3 × 10⁸ m/s

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The primary amps on the 69kv bus would be 14.835 amps.

To determine the primary amps on the 69kv bus in this scenario, you would need to use the CT ratio of 2000:5. The CT ratio is used to convert the current on the secondary side of the CT to the current on the primary side. In this case, the secondary current is 2.97 amps, so you would multiply that by the ratio of 2000:5 (2000/5 = 400) to get the primary current.

2.97 amps x 400 = 14.835 amps.

Therefore the primary current on the 69kv bus is 14.835 amps.

It's important to note that this calculation assumes that the CT is functioning correctly and that the primary and secondary circuits are properly connected.

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It would take one second to produce the displacement represented by a vertical line from 6 m to 8 m in a graph of position vs. time

To calculate the time it would take for a displacement of 2 meters (from 6 m to 8 m) in a graph of position vs. time,

we need to use the equation v = d/t,

where v is the velocity, d is the displacement,

and t is the time.

In this case, we know that d = 2 m and we need to solve for t.

Plugging in the values, we get 2 = d/t, which simplifies to t = 2/d or t = 2/2 = 1 second.

Therefore, it would take 1 second for the displacement represented by a vertical line from 6 m to 8 m in a graph of position vs. time.

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As the moon moves from a new moon to a full moon, the amount of the moon that is lit by the sun increases.

Cycle of the moon refers to the sequence of phases that the moon goes through as it orbits around the Earth. This cycle takes approximately 29.5 days to complete, during which the appearance of the moon changes from a new moon, to a waxing crescent, to a first quarter, to a waxing gibbous, to a full moon, to a waning gibbous, to a third quarter, and finally to a waning crescent, before starting the cycle anew as a new moon.

As the moon moves from a new moon to a full moon, the amount of the moon that is lit by the sun increases. During a new moon, only a small portion of the moon is lit and facing the Earth, while during a full moon, the entire illuminated side of the moon is facing the Earth, resulting in a maximum amount of the moon being lit by the sun.

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We can determine the direction of heat and work interactions by understanding heat transfer for an automobile at constant speed.

The car radiator is an example of a heat source, with heat being transferred from the radiator to the engine, wheels, road, and air surrounding the car. It works as per laws of heat transfer.

The engine is an example of a work source, as work is done on the radiator and wheels, allowing the car to move.

The direction of heat and work interactions can be determined by considering the energy cycle of the car. Heat is transferred from the radiator to the engine, from the engine to the wheels, from the wheels to the road, and from the road to the air. Work is done from the engine to the wheels and radiator, and from the road to the wheels.

It is important to note that the heat and work interactions between the car radiator, engine, wheels, and air are not exclusive. In fact, as the car moves, heat is also transferred among all of these components. Heat is transferred from the engine to the wheels and the road, from the wheels to the road, and from the road to the air. Work is also done on the engine and wheels, as the car moves.

In conclusion, the direction of heat and work interactions between the car radiator, engine, wheels, road, and air surrounding the car can be determined by analyzing the energy cycle of the car. Heat is transferred from the radiator to the engine, from the engine to the wheels, from the wheels to the road, and from the road to the air. Work is done from the engine to the wheels and radiator, and from the road to the wheels. Heat and work are also transferred among all of the aforementioned components as the car moves.

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The textbook-earth system has a gravitational potential energy of 98 J relative to the floor.

Gravitational energy, also known as gravitational potential energy, is the potential energy possessed by a massive object in relation to another massive object as a result of gravity. It is the potential energy associated with the gravitational field that is released when two objects collide. Gravitational potential energy is the energy that an object possesses or acquires as a result of a change in its position when it is in a gravitational field. In layman's terms, gravitational potential energy is energy that is related to gravitational force or gravity.

Here,

The energy possessed by a body due to its placement in gravitational field. It is given by:

G.P.E. = m g h

m is the mass of the object, g is the acceleration due to gravity and h is the height.

mass of the book, m = 8.0 kg

height of the desk on which book is kept, h = 1.25 m

acceleration due to gravity, g = 9.8 m/s²

G.P.E = 8.0 kg × 9.8 m/s² × 1.25 m = 98 J

The gravitational potential energy of the textbook-earth system relative to the floor is 98 J.

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The distance covered by the car in the last 2.0 seconds of its motion is 4.0 m.

The complete question is in the attachment. Look at the graph. The car travel in three motion.

From 0 - 4s

From 4 - 6s

From 6 - 8s

The car travels 20 m in 8.0 s

d = d₁ + d₂ + d₃

20 = 2v + 2v + v

20 = 5v

v = 20/5

v = 4.0 m/s

In the last 2.0 seconds of its motion is from 6 - 8s

d₃ = v

d₃ = 4.0 m

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Astronomers and police detectives alike must test their hypotheses against all the evidence they gather.

Astronomy is the study of everything in the universe beyond the Earth's atmosphere. This includes visible objects such as the sun, moon, planets, and stars. This includes objects that can only be seen with the telescopes and other instruments, such as distant galaxies and small particles. Astronomers are people who study the planets, stars, and other celestial bodies. They use the ground-based devices like the optical telescope and space-based devices like the Hubble Space Telescope. Some astronomers study distant galaxies and phenomena such as black holes and neutron stars. These are the difference between the astronomer and the police detective.

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The smallest center-to-center separation dp between proton and nucleus when the proton momentarily stops is 4.17 x 10^-14m and the ratio da/dp is 2:1.

Given the kinetic energy of proton (KE) = 2.80MeV

The charge if proton (q1) = 1.6 x 10^-19C

The proton hits a lead nucleus. So, the atomic number of lead = 82

The charge on lead nucleus (q2) = 82e = 82 x 1.6 x 10^-19

The Coulomb force is the sole force that exists between the proton and the nucleus because the proton cannot enter the nucleus.

We know that KE = q1V where V is the potential difference

We know that from coulombs law V = kq2/r where r is separation distance

Then r = dp such that dp = kq1/V = kqxq2/KE = kq1q2/KE

dp = (8.9 x 10^9)(1e)(82e)/2.8 MeV

dp = 1167.68 x 10^-10/2.8 x 10^6 = 4.17 x 10^-14m

The the smallest center-to-center separation dp between proton and nucleus is 4.17 x 10^-14m

If the proton was replaced by two alpha particle charge (q1) = 2e

The separation between alpha particle and nucleus = da

da = (8.9 x 10^9)(2e)(82e)/2.8x10^6eV = 2335.36x10^-16/2.8 = 8.34x10^-14m

Hence the required ratio of da/dp = 8.34x10^-14m/4.17 x 10^-14m = 2:1

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Yes, it does follow that the proton's velocity is parallel to the electric field.

This is because when a particle moves in a constant electric field, it will experience a force equal to its charge multiplied by the magnitude of the electric field. This force will cause the particle to accelerate in the direction of the electric field, resulting in a velocity that is parallel to the electric field.

Additionally, the particle's acceleration is proportional to the electric field's magnitude, so if the electric field is increased, the particle will accelerate faster and its velocity will become more parallel to the electric field. This is why it is important to ensure that the electric field is constant when conducting experiments involving particles in an electric field.

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Thermal energy absorption or release can cause a change in the state of matter.

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Main sequence M star has the longest lifetime. Because the main sequence is the stage of a star's life that lasts the longest, more than 90% of the stars in the cosmos are main sequence stars.

A star ten times as big as the sun will last on the main sequence for only 20 million years. The sun will last approximately 10 billion years. Red dwarfs can live 80 to 100 billion years, which is much longer than the universe's age of 13.8 billion years and half the mass of the sun. A star with only half the mass of the Sun can stay on the main sequence for 80 billion years. Our stellar companions range from nebula to protostar, through the main sequence to red giant, and finally finish as white dwarfs, neutron stars, or black holes.

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The tires approximate angular speed in radians per minute is 221937 radians per minute.

Calculating the angular speed of a car's tires requires the use of a few simple equations.

The first step is to convert the speed from miles per hour to feet per minute. To do this, multiply the speed in mph by 5,280 to get the speed in feet per minute. In this example, 55 mph is equal to 287,400 feet per minute.

Next, calculate the circumference of the tire by multiplying the tire’s diameter by pi. In this example, the circumference is 8.17 feet.

Then, divide the speed in feet per minute by the tire's circumference to get the angular speed in rotations per minute. In this example, 287,400 / 8.17 = 35,145.3 rotations per minute.

Finally, to get the angular speed in radians per minute, multiply the rotations per minute by 2pi. In this example, 35,145.3 x 6.28 = 221,937 radians per minute.

To summarize, the approximate angular speed of a car's tires traveling at 55 mph with a diameter of 2.6 feet is 221,937 radians per minute.

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Cleavage is the tendency of a mineral to break along smooth flat surfaces when struck. It is a property that reflects the crystal structure and is an indication of the mineral's internal atomic arrangement. A mineral with cleavage will break along specific planes, often yielding flat and smooth surfaces.

Cleavage is a property of minerals that refers to the way they split or break along certain planes. Minerals that exhibit cleavage have a tendency to break along specific, smooth and flat surfaces. This property is caused by the internal arrangement of atoms in the mineral's crystal structure. Minerals that typically exhibit cleavage include micas, halite, calcite, fluorite, quartz, and feldspar. Minerals that exhibit good cleavage can be easily separated into thin sheets or plates, making them useful for a variety of industrial and commercial applications.

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Cleavage is a property of a mineral that indicates its tendency to break along certain flat surfaces, rather than in a random pattern.

Bond cleavage, also known as bond fission, is the splitting of chemical bonds in chemistry. When a molecule is split into two or more pieces, this is commonly referred to as dissociation. According to how the bond is broken, there are generally two types of bond cleavage: homolytic and heterolytic.

In chemistry, cleavage essentially refers to the bond breaking. There are two types of cleavage: (1) An equal distribution of electrons between the two atoms causes a link between them to cleave. (2) In this form of connection, the most electronegative atom receives the bond's electron.

The presence of cleavage is an indicator of the arrangement of atoms in the crystal structure of the mineral, and the direction of the cleavage surfaces is determined by the crystal lattice. The term "cleavage" is often used interchangeably with the term "fracture," although fracture refers to any type of break in the mineral, regardless of whether it follows a specific pattern or not.

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