find the height of the roller coaster using two different methods. round your answers to one decimal place.

The speed of the spacecraft in a circular orbit around Mars at an altitude of 200 km is approximately 3,543.62 m/s, and the period of the orbit is approximately 6,867.97 seconds or 1.91 hours.

To calculate the speed of a spacecraft orbiting Mars in a circular orbit, use the formula: v = √(GM/R)

Where: v = speed of the spacecraft in meters per second

G = gravitational constant 6.674 × 10⁻¹¹ N m²/kg²

M = mass of Mars (6.39 × 10²³ kg)

R = radius of the orbit (200 km + the radius of Mars, 3,389 km)

Substituting in the values, we get:

v = √((6.674 × 10⁻¹¹ N m²/kg²) × (6.39 × 10²³ kg) / (3.5895 × 10⁶ m))

v ≈ 3,543.62 m/s

Therefore, the speed of the spacecraft in a circular orbit around Mars at an altitude of 200 km is approximately 3,543.62 m/s.

The formula to calculate the period of a circular orbit is T = 2πR/v

Where: T = period of the orbit in seconds

R = radius of the orbit in meters (200 km + 3389.5 km = 3589.5 km = 3.5895 × 10⁶ m)

v = speed of the spacecraft in meters per second

Plugging in the values, we get:

T = 2π(3.5895 × 10⁶ m) / (3,543.62 m/s)

T ≈ 6,867.97 seconds

The period of the orbit is approximately 6,867.97 seconds or 1.91 hours.

Therefore, the speed of the spacecraft in the circular orbit is 3,584 m/s and the period of the orbit is 6,867.97 seconds.

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Answer:

well first u divide the numbers

The current flowing out of a resistor is typically smaller than the current flowing into it. Resistors do not actually slow down the flow of charge, they merely convert electrical energy into heat.

The statement that the current flowing out of a resistor is smaller than the current flowing into it is correct. This is because resistors slow down the flow of charge. The amount of current flowing through a resistor is determined by the amount of voltage across the resistor and the resistance of the resistor. When the voltage across the resistor increases, the current flowing through it also increases.

Conversely, when the resistance of the resistor increases, the current flowing through it decreases. Resistors are used to control the flow of current in electrical circuits. They are used in a variety of applications, such as in voltage dividers, filters, and voltage regulators.

For example, a voltage divider is a circuit that divides a voltage into two or more parts. A voltage divider is made up of two resistors in series, and the output voltage is taken across one of the resistors. The amount of voltage across the output resistor is determined by the values of the two resistors.

If the two resistors are equal, the output voltage will be half the input voltage. If the output resistor is smaller than the input resistor, the output voltage will be less than half the input voltage. Conversely, if the output resistor is larger than the input resistor, the output voltage will be greater than half the input voltage.

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A  d.pilot study is a descriptive research activity representing a small-scale investigation of 10 to 30 subjects that are representative of the main study's defined target population but focus on a specific subcomponent of the main study.

A pilot study is a small-scale study that is usually carried out before the main study or trial to test if the intended study design, data collection method(s), measurement instruments, and data analysis techniques are feasible and sufficient. This is also done to ensure that data is collected in a way that minimizes the risk of error in the main study.

Mode, the most frequently occurring value in a data set is referred to as the mode. It is frequently utilized with categorical or nominal data. Pretest, before the test, a pretest is given to test subjects to establish a baseline for their knowledge or capability. Median, in statistics, the median is a measure of central tendency that is used to split a dataset into two equal parts. It is used with continuous or ordinal data.

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Energy is being transported in the positive y direction by an electromagnetic wave. The magnetic field is in the positive x direction at one spot and one moment. At that precise moment, the electric field is oriented in the "negative z" direction.


The given electromagnetic wave is transporting energy in the positive y direction. At one point and one instant, the magnetic field is in the positive x direction. Now we have to find the direction of the electric field at that point and instant. According to the right-hand rule, when the magnetic field is directed towards the positive x-axis, the electric field will be directed downwards along the negative z-axis. Therefore, the electric field at that point and instant points in the negative z direction.

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The length of the x-component of the vector is approximately 48.55 units.

To find the length of the x-component of the vector, we need to use trigonometry.

We can use the angle and the magnitude (length) of the vector to find the x-component using the formula:

x-component = magnitude x cos(angle)

Plugging in the values given, we get:

x-component = 52 units x cos(21⁰)

x-component = 52 units x 0.9336

Multiplying these two numbers, we get:

x-component ≈ 48.55 units

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The true strain at the onset of necking can be obtained from the Hollomon equation as follows: true strain = (K/S)^(1/n).

Here, K is the strength coefficient, S is the stress, and n is the strain hardening exponent. Thus, given the values of these parameters, we can calculate the true strain at the onset of necking.

The Hollomon equation is a mathematical expression for the true stress-true strain curve that relates the true stress to the true strain in a material. It is expressed as follows: true stress = K(true strain)^n. Here, K is the strength coefficient and n is the strain hardening exponent.

The true strain at the onset of necking is the strain at which the material starts to deform plastically instead of elastically. This can be obtained from the Hollomon equation by rearranging it to the form true strain = (K/S)^(1/n). Thus, given the values of the parameters K, S, and n, we can calculate the true strain at the onset of necking.

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Hydroelectric dams generate electricity through water impoundment, in which dam operators control the rate of water flow to turbines.

c is the correct option.

Hydroelectric dams are dams used to produce electricity. The movement of water drives turbines, which power generators that generate electricity.

The movement of water, generated by gravity, is what drives turbines. Hydroelectric dams are the most widely used renewable energy source, accounting for approximately 16% of global electricity production.

Hydroelectric dams generate electricity through water impoundment, in which dam operators control the rate of water flow to turbines.

This is the process of using turbines that are powered by the movement of water that has been dammed to generate electricity.

Turbines are powered by water that has been dammed to generate electricity, which is then sent to a power station to be used.

The electricity generated from hydroelectric dams is clean and safe, making it an important part of the renewable energy mix. They are also an essential part of the global infrastructure because they provide reliable, low-cost power.

They also assist in the management of rivers, flood control, and irrigation systems in various parts of the world.

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Answer:

V = X i + Y j        expression of vector in terms of unit vectors i andj

V = 12.0 i + 9.00 j

V = (12.0^2 + 9.00^2)^1/2 = 15.0      magnitude of resultant vector

Note this is a multiple of a 3, 4, 5 right triangle

5 is the magnitude of a 3, 4, 5 right triangle the given vector is 3X the 3, 4, 5 triangle or 15

The wheels make approximately 47.65 revolutions during the 5.10 s period.

What is Linear Speed?

Linear speed, also known as tangential speed, is the distance traveled by an object in a circular path per unit of time, measured in units such as meters per second (m/s) or kilometers per hour (km/h). It is the magnitude of the velocity vector of an object moving in a circular path at a constant speed, and is perpendicular to the centripetal acceleration vector.

The linear speed of the wheels is equal to the velocity of the car:

v = 17.0 m/s

The circumference of the wheels is:

C = 2πr = 2π(0.48 m) = 3.01 m

The angular speed of the wheels is related to the linear speed by:

ω = v/r

Therefore, the initial angular speed of the wheels is:

ω₀ = v/r = 17.0 m/s / 0.48 m = 35.42 rad/s

The final angular speed of the wheels after accelerating for 5.10 s at a constant rate of 2.10 m/s² is given by:

ω = ω₀ + αt

where α is the angular acceleration of the wheels. Since the wheels are assumed to roll without slipping, the linear acceleration of the car is equal to the angular acceleration of the wheels:

α = a/r = 2.10 m/s² / 0.48 m = 4.38 rad/s²

Substituting the given values into the equation for angular speed, we have:

ω = 35.42 rad/s + (4.38 rad/s²)(5.10 s) = 58.64 rad/s

The number of revolutions made by the wheels during this period is equal to the change in the angle of rotation of the wheels:

Δθ = ωt

Substituting the given values, we have:

Δθ = (58.64 rad/s)(5.10 s) = 299.58 rad

The number of revolutions is equal to the angle of rotation divided by 2π:

n = Δθ / 2π = 299.58 rad / 2π ≈ 47.65 revolutions

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The proportional equation that matches the context of a 33-inch candle burning down in 12 hours is b = 2.75t.

A candle that is 33 inches long is called a 33-inch candle. Candles are a popular decorative item that is commonly used for lighting, as decoration for weddings, and parties, or to create an aromatic atmosphere. B represents the length of the candle that has burned away at any time given in hours, t.

To find the proportional equation for b in terms of t that matches the context of a 33-inch candle burning down in 12 hours, the following steps should be followed:

Identify the given informationThe length of the candle (l) = 33 inchesThe time taken for the candle to burn down (t) = 12 hours

Determine the rate of burning The rate of burning of the candle is given by l/t. Therefore, the rate of burning = 33/12 = 2.75 inches per hour.

The proportional equation for b in terms of t is given by b = rt where r is the rate of burning. Therefore, b = 2.75t.

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The true statement is "Image 1st is sharper than Image 2nd and has a larger file size than Image 2nd"

A bitmap image is a type of digital image that is made up of pixels, which are small squares of color that form an image.

Bitmap image also known as raster images.

Image resolution refers to the number of pixels contained in a digital image, typically measured as the number of pixels per inch (PPI) or dots per inch (DPI). The resolution of an image determines the level of detail and clarity that can be seen in the image.

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The relative humidity of an air parcel will increase if any of the following actions are taken:

To understand this further, we can look at the formula for relative humidity, which is the amount of water vapor in the air divided by the amount of water vapor that can exist at a particular temperature. When the temperature is kept constant and the dew point increases, the amount of water vapor in the air increases, resulting in an increase in relative humidity.

The followings are the given options and the actions they will take that will cause the relative humidity of an air parcel to increase:

Option A: Keep the parcel's temperature constant and increase the parcel's dew point. This action would increase the RH of the air parcel because it will increase the quantity of water vapor in the air parcel. As the parcel's temperature is constant, the ability of the air to hold water vapor also remains constant.

Option B: Decrease the parcel's temperature and increase the parcel's dew point. This action would also increase the RH of the air parcel. As the temperature of the parcel decreases, the amount of moisture that the air can contain also decreases. When the dew point is raised, the quantity of water vapor in the air parcel rises relative to the amount it can carry.

Option C: Keep the parcel's temperature constant and keep the parcel's dew point constant. In this case, there will be no increase in RH because the quantity of water vapor in the air parcel will remain the same as the ability of the air to hold water vapor remains constant.

Option D: Increase the parcel's temperature and increase the parcel's dew point. Increasing the parcel's temperature will raise the ability of the air to hold water vapor, but it will not increase the amount of water vapor in the air parcel. As a result, the RH of the air parcel will decrease.

Option E: Keep the parcel's dew point constant and increase the parcel's temperature. This action will also decrease the RH of the air parcel as it will increase the amount of moisture that the air can hold. Thus, the relative humidity will decrease.

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The percent change in the kinetic energy of the system is [(0.5*(12100 + 4790)*1722) - 5.58 x 106] / (5.58 x 106) x 100% = 4.41%.

The 12100 kg railroad car is initially travelling at a speed of 19.0 m/s and has a kinetic energy of KE = 0.5*12100*1902 = 5.58 x 106 Joules. The 4790 kg load is dropped onto the car from rest, so its initial kinetic energy is 0.

When the load is dropped onto the car, the two objects collide and their velocities after the collision will be equal. Therefore, the final speed of both the railroad car and the load will be v = (12100*19 + 4790*0) / (12100 + 4790) = 17.2 m/s. The percent change in the kinetic energy of the system is [(0.5*(12100 + 4790)*1722) - 5.58 x 106] / (5.58 x 106) x 100% = 4.41%.

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The block will be moving at 3.97 m/s 6 seconds after the pull is applied.

Given Mass of the block, m = 421 kg, Inclined angle, θ = 4.54°, Force applied, F = 3282 N, Coefficient of friction, μ = 0.47, Time, t = 6 s

Using Newton's second law of motion, F - μmg sin θ = ma

Where,
m = Mass of the block
g = Acceleration due to gravity
a = Acceleration of the block

Substituting the given values,

3282 - 0.47 × 421 × 9.81 × sin 4.54° = 421 × a
a = 0.6614 m/s²

Using kinematic equations of motion,

v = u + at

Where,
u = Initial velocity
v = Final velocity
a = Acceleration
t = Time

Since the initial velocity is zero, the above equation becomes
v = at

Substituting the values,
v = 0.6614 m/s² × 6 s
v = 3.97 m/s

Therefore, the block will be moving at 3.97 m/s 6 seconds after the pull is applied.

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2.1 As more resistors are added in parallel, the equivalent resistance approaches zero

2.2 Kirchhoff's loop rule is equivalent to the conservation of energy principle.

As more resistors are added in series, the equivalent resistance of the circuit approaches infinity. In contrast, as more resistors are added in parallel, the equivalent resistance approaches zero. This statement is TRUE. The equivalent resistance, Req, of a parallel combination of resistors is less than any of the resistors in the combination, while for a series combination it is equal to the sum of the resistances.

Kirchhoff's loop rule is equivalent to the conservation of energy principle. Kirchhoff's loop rule or Kirchhoff's voltage law (KVL) is a result of the conservation of energy principle. The principle of conservation of energy states that energy can neither be created nor destroyed, it can only be transformed from one form to another. In a closed loop, the total energy gained is equal to the total energy lost, according to the principle of conservation of energy.

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Answer:

A. Four times

Explanation:

Gravitational Potential Energy (PE) is given as PE=mass*gravity*height

setting the equations of potential energy equal to each other for each object you get

m1gh=m2gh

then you can cancel out the gravity and height and get

m1=m2

then we know the mass of the second object is 4 times the mass of the first object so

m2=4m1

The structure that would have helped to protect the brain from the external force when the rock hit Cesar are as follows: Dura mater and Cerebrospinal fluid.

What is the central nervous system? The central nervous system (CNS) is responsible for processing incoming stimuli from the peripheral nervous system and producing a coordinated response. It includes the brain and the spinal cord.

The brain is the largest component of the CNS, comprising 2% of the body's weight but consuming about 20% of its oxygen and nutrients. It consists of three main parts: the brainstem, the cerebellum, and the cerebrum.

The brainstem is responsible for regulating critical functions like respiration, circulation, and digestion; the cerebellum controls motor coordination, and the cerebrum is the area of the brain responsible for sensory perception, emotion, and movement.

What is external force? External forces, also known as contact forces, are forces that act on an object as a result of its interaction with its surroundings. Forces that do not require contact to take effect, such as gravitational and magnetic forces, are not considered external forces.

Examples of external forces are gravity, air resistance, tension, and friction. Dura mater and Cerebrospinal fluid as the structure that would have helped to protect the brain from the external force when the rock hit Cesar. When a rock hits Cesar, the external force created by it must be transferred to the skull, and ultimately the brain.

However, several protective features of the head help to reduce the severity of the impact. The brain is protected by two main structures: the dura mater and the cerebrospinal fluid.

The dura mater is the outermost layer of the meninges, which is a protective membrane covering the brain and spinal cord. It acts as a cushion, absorbing some of the external force generated by the impact.

Cerebrospinal fluid is a clear liquid that flows throughout the central nervous system, filling the space between the brain and the skull. It acts as a shock absorber, reducing the impact's intensity by distributing the force more evenly.

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A survey was conducted at local colleges around Madison where 692 students were surveyed, and 421 replied that they were over 6 feet tall showing a standard error of 0.0084 in the average height of a college student.

The standard error is given by the formula given below:

[tex]$$SE= {s}/{\sqrt{n}}$$[/tex]

Where s is the standard deviation,

n is the sample size.

Now let us find out the standard deviation by using the formula given below:

[tex]$$s=\sqrt{\frac{(421-271.17)^2+(271.17-270)^2}{692-1}}$$[/tex]

After calculating we get that the standard deviation s is equal to $0.2208$.

Now let us plug the value of the standard deviation s and sample size n into the formula for standard error:

[tex]$$SE={s}/{\sqrt{n}}$$[/tex]

On substituting the respective values, we get [tex]$$SE={0.2208}/{\sqrt{692}}$$[/tex]

On solving, we get that the standard error is equal to 0.0084

Therefore, the standard error is 0.0084.

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When the air is in geostrophic balance, it flows parallel to isobars  and above the boundary layer.

Geostrophic balance is a state of balance between the pressure gradient force and the Coriolis force, where the pressure gradient force is directed from higher to lower pressure, and the Coriolis force is perpendicular to the direction of motion. In this state, the wind flows parallel to the isobars, with the pressure gradient force and the Coriolis force balancing each other out.

The boundary layer is the layer of air near the Earth's surface where friction between the air and the surface slows down the wind and causes it to flow in a more complex manner, with the wind direction changing with height. However, in the geostrophic flow regime, the wind flow is typically above the boundary layer and thus not affected by surface friction.

Therefore, in geostrophic balance, the wind flows parallel to isobars and above the boundary layer, with little to no effect from the Earth's surface.

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To calculate the missing values in the table, we can use the formulas:

Using these formulas, we can fill in the missing values:

Power(W)          Work Done(J)    Time Taken(s)

For a,. 3000       90000                30

For b,. 20            100                      5

For c,. 50            100                      2

For d. 700           245                     0.35

For e. 25             1875                     75

For f. 50000       500000              10

For g. 150            450                      3

For h. 0.5            10                         20

What is power?

Power is the rate at which work is done or energy is transferred. Mathematically, power is defined as the amount of work done or energy transferred per unit time. The unit of power is the watt (W), which is equal to one joule of work per second.

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To calculate the missing values in the table, we can use the formulas:

Power = Work Done / Time Taken

Work Done = Power x Time Taken

Time Taken = Work Done / Power

Using these formulas, we can fill in the missing values:

Power(W)          Work Done(J)    Time Taken(s)

For a,. 3000       90000                30

For b,. 20            100                      5

For c,. 50            100                      2

For d. 700           245                     0.35

For e. 25             1875                     75

For f. 50000       500000              10

For g. 150            450                      3

For h. 0.5            10                         20

What is power?

Power is the pace at which labour or energy is done or transferred. Power is described mathematically as the quantity of labour done or energy moved per unit time. The watt (W) is the measure of electricity, and it equals one joule of work per second.

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(a) Angular acceleration of the tyres= 7.3 rad/s^2

(b) Time required to stop= 8.9 s

(c) Distance travelled= 492.5 m

The angular acceleration of the tires can be calculated by using the following equation:

Angular acceleration = (Change in angular velocity)/(time).

Using the given information, we can calculate the angular acceleration as follows:

Angular velocity = (95 revolutions)/(95 km/h)
Time = (95 km/h - 55 km/h)/(95 km/h)
Angular acceleration = (95 revolutions)/(Time x 0.80 m)
Angular acceleration = 7.3 rad/s^2

For part b, the amount of time required for the car to stop can be calculated as follows:

Time = (55 km/h)/(7.3 rad/s^2 x 0.80 m)
Time = 8.9 s

For part c, the distance the car travels can be calculated as follows:

Distance = (55 km/h x 8.9 s)
Distance = 492.5 m

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A ball rolls across the floor, slowing down with a constant acceleration of magnitude a = 4.51 m/s2.

The ball has positive velocity v after rolling a distance x = 2.66 m across the floor.

To calculate the ball's initial speed v0 if

v = 11.17 m/s.

The initial velocity of the ball, v0 =?

The final velocity of the ball, v = 11.17 m/s

The acceleration of magnitude a = 4.51 m/s2

Distance travelled, x = 2.66 m

If an object has initial velocity v0, constant acceleration a, and travelled distance x, then its final velocity is given by:

v2 = v0² + 2ax

Here, the ball's initial velocity is v0, and its final velocity is v.

After substituting the given values, we have:

v2 = v0² + 2ax

=> (11.17)²

= v0² + 2(4.51)(2.66)

=> 124.57

= v0² + 25.39

=> v0² = 124.57 - 25.39

=> v0² = 99.18 => v0 = √99.18

=> v0 = 9.96 m/s

Hence, the initial velocity of the ball is v0 = 9.96 m/s.

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The locations of Pisa and Boston in relation to the Moon have no bearing on the times of high tides. High tides are caused by the gravitational pull of the Moon on the Earth's oceans. The Moon's gravitational pull causes the oceans to bulge out towards the Moon, resulting in the two high tides per day.

The two high tides occur about 12 hours and 24 minutes apart, and the location of the Moon in the sky is always changing. During full moon and new moon, when the Moon is in alignment with the Sun, the gravitational pull of both celestial bodies is at its strongest, resulting in higher high tides.

The location of Pisa and Boston has no effect on high tide times, but they may experience higher tides due to local geography. If Pisa or Boston are near the ocean, their local geography may cause the tide to be higher or lower than normal. Additionally, weather conditions can also have an effect on local tide levels.

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Explanation:

# Unmanaged population distribution

# lack of sanitation programs

# lack of awareness programs

# lack of implementation of policies and rules

# carelessness of people and government

# Unmanaged waste disposal

Answer:

Work is negative on the way up and positive on the way down.

Explanation:

Work is positive if displacement and the force are in the same direction.

Work is negative if displacement and the force are in opposite directions.

(Note that work is zero if displacement is perpendicular to the force.)

In this question, the gravity on the object points downwards at all times.

On the way up, the position of the object is above where it was launched. Hence, displacement would point upwards.

Since the direction of gravity is opposite to that of displacement on the way up, the work on the object would be negative.

In contrast, displacement of the object points downward on the way down. Since displacement is in the same direction as the force of gravity, the work on the object would be positive.

Balanced net forces have equal and opposing forces that cancel each other out and provide a net force of zero, which does not alter the motion of an item.

An object's velocity remains constant and motion is unaltered when the net forces acting on it are balanced. This indicates that the thing is either stationary or moving continuously. When the forces exerted on an item are opposing in direction and of equal magnitude, they are said to be balanced forces. The forces in this situation cancel one another out, leaving a net force of zero. This can happen when one force is applied to an item and that object applies an equal and opposite force in the opposite direction to another object. It can also happen when two or more forces are applied in opposing directions and of equal magnitude. Understanding equilibrium and stability in physics requires a knowledge of the idea of balanced forces.

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"Precipitation occurs due to condensation of water molecules in the air into droplets and they fall to the ground due to gravity."

One of the stages of the water cycle is precipitation. Clouds are areas of the sky with enough water content for drops to condense, and they are where precipitation originates. Therefore, precipitation follows mist. Although clouds are the source of all precipitation, not all clouds generate precipitation.

When cloud droplets or crystals become too dense to continue floating in the atmosphere, precipitation starts to descend from the clouds. If droplets do not become sufficiently dense, precipitation will not occur, and if the cloud is sufficiently heated by the Sun, it may even disperse. But for there to be a place for precipitation to come from, clouds do need to develop.

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The relationship between the velocity of a fluid and the size of the sediment that the fluid carries is directly proportional.

Higher velocity fluids are capable of carrying larger sediments while lower-velocity fluids are capable of carrying smaller sediments. This is due to the fact that higher-velocity fluids have greater kinetic energy, which allows them to overcome the gravitational forces that hold larger sediments in place.

A fluid is a substance that is able to flow and take on the shape of the container it is placed in, with the ability to deform under applied shear stress. Examples of fluids include liquids and gases. In contrast, solids maintain their shape and volume under applied stress.

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Explanation:

E=(mv²)/2 ΔE = E2-E1 = (m(v2²-v1²))/2 = ?

от этогo:

а) ΔE = 16 MДж

б) ΔE = 112 МДж

c) ΔΕ = 208 МДж