according to the sine-wave generated by three phase power, what is the measured separation of each phase?

The half-life of the element, if 250 mg of a radioactive element decays to 200 mg in 12 hours is 37.5 hours

N ( t ) = No ( 1 / 2 [tex])^{t/h}[/tex]

N ( t ) = Quantity of substance remaining

No = Initial quantity

t = Time elapsed

h = Half life

t = 12 hrs

No = 250 mg

N ( 12 ) = 200 mg

N ( 12 ) = No ( 1 / 2 [tex])^{12/h}[/tex]

200 = 250 ( 0.5 [tex])^{12/h}[/tex]

( 0.5 [tex])^{12/h}[/tex] = 200 / 250

( 0.5 [tex])^{12/h}[/tex] = 0.8

taking log on both sides

log [ ( 0.5 [tex])^{12/h}[/tex] ] = log ( 0.8 )

12 / h log ( 0.5 ) = log ( 0.8 )

12 / h = log ( 0.8 ) / log ( 0.5 )

12 / h = - 0.0969 / - 0.301

12 / h = 0.32

h = 37.5 hours

Therefore, the half-life of the element, if 250 mg of a radioactive element decays to 200 mg in 12 hours is 37.5 hours

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A 2 m tall basketball player is standing at a horizontal distance 7 m away from a basketball hoop. The time taken by the ball to reach the hoop is 1.50 s. The initial velocity of the ball is 9.33 m/s.

The horizontal component of the initial speed is v cos 60° = 0.5 v

The vertical component of the initial speed is v sin 60° = 0.86 v

The player is 7 m away from the basketball hoop.

So, 7 = 0.5 v * t ----(1)

The net height with respect to the player is 3 m - 2 m = 1 m

So, 1 = - g* t²/2 + 0.86 v * t ----(2)

From (1), we have v * t = 14 ----(3)

Using (3) in (2), we have

1 = - 4.9* t² + 0.86 * 14

1 - 12.04 = -4.9 t²

-4.9 t² = -11.04

t² = 2.25

t = 1.50 s

It takes 1.5 s to reach the hoop.

Substituting t in (1), we have v * t = 14
v = 14/1.5 = 9.33 m/s

The initial velocity of the ball is 9.33 m/s.

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The observer can hear a frequency that is higher than just the source.

The number of occasions a specific data value occurs is the frequency of that data. We use f to symbolize the regularity of a data value. As an illustration, the grade A is considered to occur frequently if five students received an A in science.

Frequency of a wave is defined as the total amount of waves generated in a second. Frequency is the measurement of the number consecutive vibrations per second. As an example, consider the following: If five full waves are created in a second, their frequency is 5 hertz (Hz), or 5 cycles every second.

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The difference between the potential energies of those slings stretched with force F is 1.25 J.

The extension produced in each spring by the applied force is calculated by applying Hooke's law as shown below;

F = kx

where;

The extension of the first spring with stiffness of k1 = 159 N/m, is calculated as;

x₁ = F/k₁

x₁ = 31.4 N / 159 N/m

x₁ = 0.197 m

The energy stored in this first spring is calculated as;

E₁ = ¹/₂k₁x₁²

E₁ = ¹/₂(159)(0.197²)

E₁ = 3.1 J

The extension of the first spring with stiffness of k1 = 159 N/m, is calculated as;

x₂ = F/k₁

x₂ = 31.4 N / 265 N/m

x₂ = 0.118 m

The energy stored in the second spring is calculated as;

E₂ = ¹/₂k₂x₂²

E₂ = ¹/₂(265)(0.118²)

E₂ = 1.85 J

The difference in the two energies is calculated as follows;

ΔE = 3.1 J - 1.85 J

ΔE = 1.25 J

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The required force F = 2504.04 N

acceleration is defined as the change in speed over time,

where v and u represent the final and starting velocities, respectively.

When v=160 km/h and u=0 are transformed to m/s,

acceleration equals apparent weight;

hence, if g=9.81 and m=84 kg

thus the answer can be calculated by :

a = (v - u) / t

on substituting the value we get

a = 160 / 8

this implies a = 20 [tex]m/s^2[/tex]

Thus the force = F = 84( 9.81 + 20 )

F = 2504.04 N

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Immediately following the arrival of the stimulus at a skeletal muscle cell, there is a short period called the latent period during which the events of excitation-contraction coupling occur.

This process is a connection between transduction in the sarcolemma and the initiation of muscle contraction. Sarcolemma is nothing but the cell membrane of skeletal muscle.

A single muscle twitch has a latent period, a contraction phase when tension increases and a relaxation phase when tension decreases.

The period of incubation, the interval preceding exposure to a pathogen toxin or radiation, and when effects occur. Muscle contracting, the time between a nerve stimulus and muscle contraction.

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The maximum speed, in meters per second, of electrons ejected from this metal is 2.22 x 10⁶ m/s.

The maximum speed of the electron ejected is calculated by applying the following equation.

K.E(max) = hf

¹/₂mv² = hf

¹/₂mv² = hc/λ

mv² = 2hc/λ

v² = 2hc/λm

v = √(2hc/λm)

where;

v = √( (2 x 6.626 x 10⁻³⁴ x 3 x 10⁸)/ (89 x 10⁻⁹ x 9.1 x 10⁻³¹) )

v = 2.22 x 10⁶ m/s

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0.765 m/s is speed u would the train have to be traveling in order for an observer .

R=1.25

Sinθ=27

speed=sinθ/r

speed=sin27/1.25

speed=0.765 m/s

A scalar variable called speed can be used to express how much the location of an object shifts over time or how much it shifts per unit of time. It is often shortened to "s." The average speed of an object over a period of time is equal to the distance traveled by the object divided by the length of the period.

Time divided by distance is the speed-related metric. While the SI unit of speed is the meter per second (m/s), the most common unit in daily life is the kilometer per hour (kph).

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The term for the eye movements that occur as the observer shifts their gaze from one part of the visual scene to another is known as Saccades.

Eye movement may be characterized as the voluntary and involuntary movements of the eyes that assist with obtaining, fixating on, and following visual stimuli.

The eyes are each connected to a system of six muscles. Light is sensed by the retina, which is a type of tissue that contains cells known as photoreceptors.

Therefore, saccades is the term for the eye movements that occur as the observer shifts their gaze from one part of the visual scene to another.

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The final answer is:

a) 1585 J

b) The applied force would be smaller and the work would again be zero

c) 0 N

Given,

Force = 35 N

Angle = 25.08 below horizontal

Distance = 50 m.

Work = ?

(a) The horizontal component of the applied force is 35 N x cos 25.08 = 31.70 N

To calculate the work done by the shopper,

Work = force x distance

         = 31.7 N x 50 m

         = 1,585 J

b)  If the applied force were horizontal, all of it would counter friction, so only 31.7 N would be needed.  The work done on the cart is zero because there is no change in mechanical energy.

c) The work done on the  cart by the shopper will be zero because there is no change in mechanical energy.

Therefore, work done by the shopper is 1585 J if it moves the cart to 50 m and the work done by the shopper is zero when there is no mechanical energy applied.

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[THIS IS AN INCOMPLETE QUESTION.

THE COMPLETE QUESTION IS:

A shopper in a supermarket pushes a cart with a force of 35.0 N directed at an angle of 25.08 below the horizontal. The force is just sufficient to balance various friction forces, so the cart moves at constant speed. (a) Find the work done by the shopper on the cart as she moves down a 50.0-m-long aisle. (b) The shopper goes down the next aisle, pushing horizontally and maintaining the same speed as before. If the friction force doesn’t change, would the shopper’s applied force be larger, smaller, or the same? (c) What about the work done on the cart by the shopper?]

Mitosis is divided into five distinct stages: prophase, prometaphase, metaphase, anaphase, and telophase. It is the process by which cells divide and replicate in order to produce two identical daughter cells.

The first stage of mitosis is prophase. During this stage, the chromosomes become visible and the nuclear envelope breaks down. The centrioles begin to move to opposite ends of the cell and the spindle fibers start to form. The chromosomes also condense and become shorter and thicker.

The second stage of mitosis is prometaphase. During this stage, the spindle fibers attach to the chromosomes and the chromosomes begin to move towards the center of the cell.

The third stage of mitosis is metaphase. During this stage, the chromosomes line up in the center of the cell in an orderly fashion, known as the metaphase plate.

The fourth stage of mitosis is anaphase. During this stage, the sister chromatids separate and move to opposite ends of the cell. The spindle fibers continue to move the chromosomes until they reach the opposite poles.

The fifth and final stage of mitosis is telophase. During this stage, the nuclear membrane reforms around the two sets of chromosomes that have moved to opposite ends of the cell. The chromosomes start to uncoil and new nucleoli are formed. The cell then divides in two and the two daughter cells move away from each other.

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Because sunlight bounces off the comet's tail and coma, a comet can appear fairly bright as it passes through the inner solar system.

The biggest benefit is that it is a renewable, clean source of energy. Solar energy can also be scaled. This means that it can be utilized on an industrial scale or to power a single household. Home solar is a zero-emissions, sustainable energy source. Home solar, unlike fossil fuels such as coal and natural gas, does not emit hazardous pollutants or greenhouse gas emissions such as carbon dioxide into the air and water supplies. Solar photovoltaics for electricity, passive solar design for space heating and cooling, and solar water heating are the most often used solar technologies for homes and businesses.

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The wavelength of the light being released appears to be longer as you get closer to a steady light source.

Its spatial period is known as the wavelength, which in physics is the distance that a periodic wave repeats over. The distance between two consecutive wave crests or troughs is known as the wavelength. The direction of the wave is used to measure it. It is frequently denoted by the Greek letter lambda, which is also known as the "wavelength." Additionally, sinusoidal wave envelopes, modulated waves, and waves created by the interference of multiple sinusoids are all sometimes referred to as having a wavelength.

The distance between each trough or the peak of each wave in a sequence. It acts as one of the "yardsticks" for estimating radiation levels.

Typically, the length of a wave is denoted by the Greek letter lambda (). The relationship between a waves train's frequency (f) or speed (v) in a medium is known as the wavelength relationship.

The wavelength may always be determined by measuring that distance between the two identical points on adjacent waves. The separation between each compression or rarefaction is measured in order to determine a longitudinal wave's wavelength.

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The amount of thrust provided by the 2,000 kg jet's engine to 275-kg glider is 5,005N.

Thrust is defined as the reaction force described quantitatively by Newton's third law. When the system expels or accelerates mass in one direction, then it feels same acceleration in reverse direction.

We know very well that if a body is moving with some acceleration a and having some mass m then, change in momentum of that body is equal to force applied on the body  by the ground surface.

In other words, F = ma

where m is mass and a is acceleration of the body

Total mass of the combined system =mass of glider + mass of jet's engines

                                                            =275kg +2000kg

                                                            =2275Kg

Acceleration given as 2.2m/sec².

So, on putting both of values.

=>F=2275×2.2

=>F=5,005 Kg-m/sec² or

=>F= 5,005N

Hence, amount of thrust provided is 5,005N.

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The maximum blood alcohol concentration (BAC) during the first three hours is 0.177 mg/mL .

We are given that,

The function = C(t) = 1.3te^(-2.1t)

Concentration of alcohol in bloodstream = 15ml

The maximum is found where the derivative of C(t) is zero.

dC/dt = 1.3e^(-2.1t) -(1.3t)2.1e^(-2.1t) = 0

On Solving the above equation for getting the value of t,

t = 1/2.1

Therefore, the maximum C(t) is

C(1/2.1) = 1.3/2.1e^(-1) ≈ 0.177 mg/mL

The maximum average BAC during the first 6 hours would be about 0.177 mg/mL .

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Jupiter creates a lot of internal heat and releases this heat in the form of thermal radiation. It has been found to radiate twice as much energy as it absorbs from the sun.

Which planets produce internal heat?

Major internal heat sources on Jupiter, Saturn, and Neptune allow them to absorb as much (or even more) energy as they absorb from solar radiation. It was discovered that not only do Saturn and Neptune emit roughly twice as much energy as they take in from the sun, but also Uranus and Pluto do the same.

What amount of thermal energy does Jupiter produce?

Jupiter generates about 6 Watts per square meter of internal heat. Jupiter receives approximately 10 watts of solar energy per square meter. The radiation emitted by this planet is equal to 100 million X-rays.

Jupiter absorbs light energy from the sun and creates a large amount of internal heat. The extra energy is released in the form of thermal radiation.

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Jupiter generates a lot of heat inside and gives off this heat in the form of thermal radiation. It is known that it radiates twice as much energy as she absorbs from the sun.

Which planets produce internal heat?

The large internal heat sources of Jupiter, Saturn and Neptune allow them to absorb as much (or more) energy as they absorb from solar radiation. Saturn and Neptune, as well as Uranus and Pluto, are known to emit about twice as much energy as they absorb from the Sun.

How much heat energy does Jupiter produce?

Jupiter produces about 6 watts of internal heat per square meter. Jupiter receives about 10 watts of solar energy per square meter. The radiation emitted by this planet is equivalent to 100 million X-rays.

Jupiter generates a lot of heat inside and gives off this heat in the form of thermal radiation. It is known that it radiates twice as much energy as she absorbs from the sun.

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The law of supply is a microeconomic principle that asserts, with all other things being equal, that if the cost of an item or service rises, suppliers will offer more of those goods or services, and vice versa.

According to the rule of supply, suppliers will try to maximize their earnings when the price of an item rises by offering more products for sale. Market supply, short-term supply, long-term supply, joint supply, and composite supply are the five different types of supply. Individual supply curves and market supply curves are the two categories of supply curves, respectively.

Market supply curves depict the market supply timetable, whereas individual supply curves graph the individual supply schedule.

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The height of the rocket, given that the rocket rises at 5 ft/s between 0 and 10 seconds and afterwards it rises at 15 ft/s for another 15 seconds is 275 ft

First, we shall determine the height attained in the first 10 seconds. This can be obtained as follow:

Height = velocity × time

Height in first 10 seconds = 5 × 10

Height in first 10 seconds = 50 ft

Next, we shall determine the height in the next 15 seconds. This is shown below:

Height = velocity × time

Height in next 15 seconds = 15 × 15

Height in next 15 seconds = 225 ft

Finally, we shall determine the height of the rocket at the end of the 25 seconds. This is shown below:

Height at the end = 50 + 225

Height at the end = 275 ft

Thus, the height of the rocket is 275 ft

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The mug an initial speed vhalf is Vhalf = Vfull.

The friction force depends on the normal force, so the full mug has twice the friction force. If there's friction force, then Vhalf < Vfull since normal force is halved. The acceleration depends on the force divided by the inertia, so they have the same acceleration.

Initial Velocity describes how fast an object moves when gravity first exerts a force on it. To find the initial velocity first, multiply the acceleration by time. Then divide that number by 2 and write down the resulting quotient. Then divide the distance by the time and record this quotient as well. Finally, subtract the first quotient from her second quotient to get the initial velocity.

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The height represented by s is equal to the height represented by theta which is 74. The value of t square is used to add half negative 9.81 to the power of 2. The h value is 42.51 in meters.

Given data :

Equation 1: y=y0+v0yt+1/2 at²

where y0=1.5m , y=0 meters (the floor), v0y=0, and a=-9.8 m/s2

. Plugging

these numbers in we get

The substitution of the horizontal component of this velocity was made. The 190 is equal to 74 cos 23 and we use the value of t to figure out the distance. equal to a square and a y t square.

The acceleration in the direction of the y is negative if we make the substitution. The height represented by s is equal to the height represented by theta which is 74. The value of t square is used to add half negative 9.81 to the power of 2. The h value is 42.51 in meters.

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The equation relates U and Wint is ΔU = -Wint.

Work is defined as the energy that is applied to or removed from an object by applying force along a displacement. In its simplest form, it equals the product of the force's magnitude and the distance traveled for a constant force directed in the same direction as the motion.

Potential energy is the power that an object can store due to its position in relation to other objects, internal stresses, electric charge, or other circumstances.

Consider the work of of interaction is W =mgh          - equation -1

and the Potential energy = U.

Final Potential energy Uf =0 , And the Initial Potential Energy Ui =mgh

Now we will write the equation for a Change in Potential energy ΔU,

ΔU = Uf - Ui

= 0-m*g*h

 ΔU = -m*g*h              --Equation 2

Now compare the both equation

Wint = -ΔU

we can rewrite the above equation

ΔU = -W.

So our Answer is ΔU = -W.

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A mass measurement includes the effect of earth's gravitational pull on the object being measured. : FALSE

The moon is maintained in its orbit around Earth by gravity, as are the planets in their orbits around the sun. Ocean tides are a result of the moon's gravitational effect on the oceans. The stuff that stars and planets are comprised of is pulled together by gravity to form them.

There are four consequences of gravitational pull:

1)The gas-holding force inside the sun.

2) It makes a ball that has been launched into the air land back down.

3) It makes a car coast downhill even when the gas pedal is not depressed.

4) It results in a glass you drop dropping to the ground.

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The Lewis hypothesis of chemical bonding aids in our understanding of how atoms are arranged and bound together to form molecules.

The length (diameter) of spheres is far less than that of rods in the ball and stick model, allowing for a clearer view of the atoms and bonds. As a result, it is unable to show how much space the molecule actually takes up.

Since hard bonds and holes don't exhibit systems with irregular angles, the sticks can also be made flexible. This is particularly true of double and triple bonds, which are lengthier and more flexible than single bonds. They can facilitate geometric isomerism and restrict rotation(cis-trans).

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Take moment about G

EMG = T

T b/2 - I ∝

[tex]\frac{1}{2}mg (\frac{b}{2}) = \frac{mb^{2} }{T}[/tex]∝

∝ = [tex]\frac{39}{2b}[/tex]

Efy = 0

-w + T₁ = ma

-mg +1/2mg = -ma

a = [tex]\frac{9}{2}[/tex]

plane motion = Translation + Rotation

(a) [tex]a_{A} = a_{G} + a_{\frac{A}{G} } = a + \frac{b}{2}[/tex]∝

[tex]a_{A} =\frac{9}{2} (\frac{39}{2b}) = \frac{9}{4}[/tex]

[tex]a_{A} = \frac{9}{4}[/tex]↑

(b) aB = aG + aB/G = a +b/2∝ (↓)

= 9/2 +b/2 (39/2b)

aB = [tex]\frac{5}{4} 9[/tex]↓

A rectangular top can also complement the different shapes used in the table. Certain dishes are almost always well-suited to rectangular plates. In particular, it is the most common form of dinner plates and saucers. Square More common in Asian traditions such as sushi plates and bento boxes adds a modern style.

Squirrel Holds more groceries than round ones but takes up the same space in your cupboard. Mainly serves as a shield for insulated wires. It is also used to create a mounting base for mounting lamp holders or canopies.

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The correct statements from the following list about how Uranus is different from Jupiter, and how its rings and moons formed and evolved includes the following:

Describe Uranus?

Uranus is described as the seventh planet from the Sun. The name Uranus  is a reference to the Greek god of the sky, Uranus, who, according to Greek mythology, was the great-grandfather of Ares, grandfather of Zeus and father of Cronus.

Some known facts about Uranus includes the following:

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The correct option is option D.

The statement that provides evidence that there must be at least two types of electrical charge, but that there is only one type of mass is that on the scale of the solar system, electric forces cancel out and gravitational forces dominate.

The examples that provides conclusive evidence of is option d because the Gravitational force constant is (G)=6.67*10-11 while the Coulomb's law constant(K)=9*109.

Coulomb's law often connotes that the electrical force between two charged objects is directly proportional to the product of the quantity of charge on the objects and inversely proportional to the square of the separation distance between the two objects.

Therefore, the interaction between charged objects is regarded as a non-contact force that acts over some distance of separation. And hence, option D : the scale of the solar system, electric forces cancel out and gravitational forces dominate is the correct option.

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[THIS IS AN INCOMPLETE QUESTION.

THE COMPLETE QUESTION IS: Which of the following provides evidence that there must be at least two types of electrical charge, but that there is only one type of mass?

A.) The magnitude of the Coulomb's law constant differs greatly from the magnitude of the universal gravitational constant.

B.) Contact forces such as friction are caused primarily by electrostatic forces and not by gravitational ones.

C.) The electric force has a relative strength that is much greater than the strength of the gravitational force.

D.)On the scale of the solar system, electric forces cancel out and gravitational forces dominate.]

The kinetic energy is 1452 joules

The energy an object has as a result of motion is known as kinetic energy. In physics, a kinetic term is the portion of the Lagrangian that is bilinear in the fields (and for nonlinear sigma models, they are not even bilinear), and typically contains two derivatives with respect to time (or space); in the case of fermions, the kinetic term typically contains just one derivative.

formula of kinetic energy is 1/2 mv^2

Since v is not given

thus v = [tex]\sqrt{2gh}[/tex]

On substituting the values h = 0.5 m and g = 9.8 m/s^2

v = [tex]\sqrt{2 *0.5 * 9.8 * 0.5}[/tex]

v = [tex]\sqrt{4.9}[/tex]

v = 2.2 m/s

Thus kinetic energy = 1/2 × 600 × 2.2²

kinetic energy = 1452 joules

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The spring is 1.4 in long when unloaded .To calculate the length of an extension spring, multiply the total number of coils by the length of the spring wire per coil.

Explanation:

In line with Hooke's law:

F \s= \sK \sx

x \s1 \s= \s 0.4

the strain on the first weight multiplied by two equals 0.3

On second weight K, m is the stretch.

0.1 + 1.3 = 1.4 .

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Two rocks, with mass m and 7m, are dropped from a height h. The kinetic energy of rock with mass 7m is 7 times that of the rock with mass m.

When an object is dropped from a certain height, it will experience a free fall motion. Its velocity just before the object hits the ground is:

v = √(2gh)

Hence, it the velocity doesn't depend on the mass of the object. Therefore, in the given case, the velocity of mass m and mass 7m will be the same.

The kinetic energy of an object with m is given by:

Ek = 1/2 . mv²

Since the velocities of the two rocks are the same, the kinetic energy is directly proportional to their masses.

Ek1 : Ek2 = m1 : m2

Ek1 : Ek2 = m : 7m

Ek2 = 7 Ek1

Thus, the kinetic energy of rock with mass 7m is 7 times that of the rock with mass m.

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Pipe flow is considered laminar flow when the Reynolds number is less than 2000 and fully turbulent when it exceeds 4000.

If the value is between these two values, the flow characteristics are unpredictable. In pipes (or tubes), laminar flow or streamline flow occurs when a fluid flows in parallel layers with no disruption between them. So, if the flow is steady (that is, the flow parameters such as velocity, pressure, and temperature do not change over time), then the flow is laminar. In contrast to laminar flow, turbulent flow is always characterised by random fluctuations in the flow parameters (velocity, pressure, temperature).

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