Use the​ slope-intercept form to graph the equation y= -8/7x + 3

If there were two more carts of equal size and mass added to the ride, then the coaster’s kinetic energy will be decreased at location X because of increasing weight.

Kinetic energy is a type of energy that is present in an object because of its motion. If work is done on an object by applying a force, the object's speed increases and therefore gains kinetic energy. The two main factors that affect kinetic energy are the mass and speed of that object because the motion of an object depends on how fast the object is traveling and it also depends on the mass. But in this case, the mass is added to the object but the force remains the same then the kinetic energy of that object decreases.

So we can conclude that the kinetic energy will decrease when two carts of having equal size and mass.

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The car must be travelling at a speed of 28.21 m / s in order to land 90 m from the base of a 50 m high cliff.

According to Equations of motion,

s = ut + 1 / 2 at²

s = Distance

u = Initial velocity

t = Time

a = Acceleration

In vertical motion,

s = 50 m

u = 0

a = 9.8 m / s²

50 = 0 + 1 / 2 * 9.8 * t²

t² = 50 / 4.9

t² = 10.2

t = 3.19 s

In horizontal motion,

s = 90 m

a = 0

90 = 3.19 u + 0

u = 90 / 3.19

u = 28.21 m / s

Therefore, the initial speed of the car must be 28.21 m / s

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Stephen learned that any two objects exert a gravitational force on each other. If the distance between two objects triples, the gravitational force between them will change by a factor of 9.

What is gravitational force?

The gravitational force is the force of attraction between all masses in the universe; especially the attraction of the earth's mass for bodies near its surface. gravitational force also causes objects to fall.

The mathematical expression for the gravitational force when everything is at normal is given by:

F₁ = G(m₁m₂) / r²

When the distrance is tripled, the expression will be:

F₂ = G(m₁m₂) / 3r²

F₂ = G(m₁m₂) / 9r² = 1/9F₁

The new force gets reduced to 9th fraction of the actual force. now we want the new and actual force to be equal to:

F₂ = F₁/9

9F₂ = F₁

Therefore the mass of one of the body should be increased by 9 times.

From the question above; the gravitational force between the objects is inversely proportional to the square of the distance between the object.

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A solid metal sphere of radius 4. 00 m carries a total charge of -2. 40 μC.

The solid metal sphere would still carry a total charge of -2.40  μC if it becomes thin.

The reason is that charges always remain the same as long as it is placed on the surface of the sphere. The charge will become zero if we place it inside the metal sphere.

As long as the charge stays at the surface of the sphere, it will remain the same even if we make the sphere thin.

This concludes that the solid metal would still carry a total charge of -2.40  μC if it becomes thin.

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Answer:

Since the iodine is added as 1-anion, the number of electrons is 54( 53-(1-) =54

Answer:

no se entiende nada lo siento

Answer:

a1)gravity

not sure on others

Explanation:

cause the gravity force pulls u down

Answer:

a) i) Gravitational force

ii) Air resistance

b) (I cannot understand what is the question saying but the unit of acceleration is m/[tex]s^{2}[/tex] or [tex]ms^{-2}[/tex])

ii) Because when the parachutist is falling, the gravitational force is pulling him down. But the air resistance is pushing him upwards acting against the gravitational force resulting in a decreasing acceleration.

iii) This is because soon the air resistance catches up with that of the gravitational force and it cancels the gravitational force so he is falling in a constant velocity. This is called terminal velocity when the gravitational force gets cancelled resulting in a free fall where his weight brings him down.

    Exercises that register between 3 and 6 METs are considered moderate- intensity activities because they get you moving quickly enough or vigorously enough to burn off three to six times as much energy per minute as you do while you're sitting still.

Chronic Heart Disease

     Your chance of developing these diseases can be decreased by engaging in at least 150 minutes of moderate physical activity each week. By engaging in additional exercise, you can further lower your risk. Additionally, regular exercise helps lower blood pressure and lower cholesterol.

  Your heart rate will rise while you engage in moderate aerobic activity, and you'll also feel warmer and breathe more quickly than usual.

This may entail taking a quick stroll.

A quick method to gauge relative intensity is the conversation test. In general, you can converse but not sing while engaging in moderate-intensity exercise. In general, you won't be able to speak for more than a few words without pausing to take a breath if you're engaging in vigorous-intensity activities.

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"Misplaced aggression" is the term for it. Not just athletes express their sadness and enlightenment at failing to succeed, but individuals do as well.

Simply "suck it up buttercup," keep pushing yourself, and hit the next pitch for a "double" when it comes.

When we are enlightened with the truth, all sorrow ends. We become aware that we are not the body experiencing physical discomfort after we reach enlightenment.

We are not the mind that daydreams, fears, worries, stresses, feels anxious or depressed. The ego that suffers from rage, hatred, and envy is not who we are.

Therefore, all pain ends at that very instant of enlightenment when we know that we are the Divine Soul, the Spark Of Unique Life. After attaining enlightenment, suffering is a given.

Yes, there are difficulties with the body's, mind's, and ego's senses. There can be no more pain even if we are still being tested to determine whether we have reached full enlightenment.

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The speed of the car having kinetic energy 458,350 J  is 28.03m/s

What is What is Kinetic Energy ?

Kinetic energy is a type of power that a moving object or particle possesses. An item accumulates kinetic energy when work, which involves the transfer of energy, is done on it by exerting a net force. A moving object or particle has kinetic energy, which depends on both its mass and its rate of motion. The type of motion can be vibration, rotation on an axis, translation (or travel along a path from one place to another), or any combination of these.

K.E = 1/2*m*v2

K.E = kinetic energy

m = mass

v = velocity/speed

458350 = 1/2*1167*v2

v2= 458350*2/1167

v = 28.03 m/s

The speed of the car having kinetic energy 458,350 J  is 28.03m/s

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Explanation:

velocity=distance/time

v=10m/1.4sec

Answer:

13 . 7 m/s

Explanation:

v = a t

  =  acceleration    time

  =   9.8 m/s^2   *  1.4 s = 13.7 m/s

The main difference between the Bohr model and the electron cloud model is explained as, in Bohr's model, orbital paths around the nucleus are treated as discrete electron energy levels but the electron cloud model is a group of electrons circulating around a nucleus or a molecule. Usually refers to the valence electrons.

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Organelles are small structures present inside the cell body in order to regulate the various functions of cell .

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He should bow his boat at 90° to cross the river.

While the water will push him in side ways, it will not affect the time it takes to actually cross the river.

Hence, the correct answer is  90°.

Factors that have an effect on the velocity of a river consist of the slope gradient, the roughness of the channel, and tides. Rivers generally tend to drift from a higher elevation to a lower elevation. The gradient is the drop of the elevation of a river.

Reverberation is the time taken for the sound to fall beneath the minimal audibility measured from the immediate whilst the supply stopped sounding. Therefore if the reverberation time will become too massive it produces an echo.

Due to velocity of water drift in river, a person either swimming or floating stationary within the river reports a pushing force alongside the flow direction.

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Marble's final speed,  Vf = 0.88 m/s

Vector difference between the final and initial positions of an object is displacement. It is different from the distance the object has travelled along the way.

Velocity is a vector quantity and is defined as the displacement that an object undergoes with respect to time . Meter per second is the standard unit of velocity.

Given distance= 220cm and

time = 5 sec

We can calculate acceleration of the marble by using 2nd equation of motion:

s = Vi t + (1/2)at²

s = distance covered = 220 cm = 2.2 m

Let Vi = initial Velocity

= 0 m/s (as the marble was initially at rest)

To find acceleration, a  = ?

2.2 m = (0 m/s)(5 s) + (1/2)(a)(5 s)²

a = (2.2 m)(2) / (5 s)²

a = 0.176 m/s²

Using 1st equation of motion for final velocity (Vf)

Vf = Vi + at

Vf = 0 m/s + (0.176 m/s²)(5 s)

Vf = 0.88 m/s

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The relationship between instantaneous speed and instantaneous velocity is that instantaneous speed is the magnitude of the instantaneous velocity.

Instantaneous velocity is the rate of change of position for a very small interval of time. The interval of time so that that its value is almost zero. Instantaneous speed is the magnitude of instantaneous velocity without any direction.

The instantaneous velocity is vector quantity just like velocity and the instantaneous velocity is a scalar quantity just like speed. The value of if instantaneous velocity with direction is instantaneous velocity.

Therefore, the relationship between instantaneous speed and instantaneous velocity is that instantaneous speed is the magnitude of the instantaneous velocity.

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A graph type called a velocity vs. time graph compares how velocity changes over time. This kind of graph can be used to determine an object's displacement, acceleration, and velocity as well as its direction of motion.

While speed and velocity are similar, they are not the same. Velocity is a vector quantity with direction. There is a magnitude, a direction, and units for every vector quantity. The change in displacement, another vector, over time is referred to as velocity. Speed is a scalar quantity with no direction that calculates how quickly something moves. By dividing the distance by the time, one may calculate speed.

As a result, in a graph of speed vs time, the slope corresponds to acceleration, whereas the area under the curve corresponds to distance rather than displacement.

The driver of an automobile moves onto the highway. They must first accelerate and move into the right lane in order to merge. After a few miles of continuous pace, they run upon some road construction. They slow down, which regrettably causes them to sit in halted traffic for the following few seconds.

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Answer:

x2- x1 / t2 - t1

Explanation:

To find this speed, you have to use the operation of: X2 -X1/ t2 -t1, we know that x is the distance, we do the operation and that would be our average speed

By the relation of KE = ½mv²,

the kinetic energy in a body is directly proportional to its mass and square of velocity.

The average velocity of the cart for each fan speed to the nearest tenth is as follows:

An average velocity can be defined as the total distance covered by a physical object divided by the total time taken.

Mathematically, the average velocity of a physical object can be calculated by using this formula:

Average velocity = Total distance/Total time

The average velocity of the cart with low fan speed is given by:

Average velocity = 500/7.4

Average velocity = 67.57 ≈ 67.6 cm/s.

Also, the average velocity of the cart with medium fan speed is given by:

Average velocity = 500/6.4

Average velocity = 78.13 ≈ 78.1 cm/s.

Lastly, the average velocity of the cart with high fan speed is given by:

Average velocity = 500/5.5

Average velocity = 90.91 ≈ 90.9 cm/s.

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The new speed of the car after the collision is 13.61 m/s.

The change in the kinetic energy is  -619,764.92 J.

The new speed of the car can be determined by applying the principle of conservation of linear momentum as follows;

Pi = Pf

m₁v₁ + m₂v₂ = v(m₁ + m₂)

where;

(12100 x 19) + (4790 x 0) = v(12100 + 4790)

229,900 = v(16,890)

v = 229,900 / 16,890

v = 13.61 m/s

The change in the kinetic energy is calculated as follows;

K.Ei = ¹/₂m₁v₁² + ¹/₂m₂v₂²

K.Ei = ¹/₂(12100)(19²)

K.Ei = 2,184,050 J

K.Ef = ¹/₂v²(m₁ + m₂)

K.Ef = ¹/₂(13.61²)(12100 + 4790)

K.Ef = 1,564,285.1 J

The change in the kinetic energy is calculated as follows;

ΔK.E = K.Ef - K.Ei

ΔK.E = 1,564,285.1 J - 2,184,050 J

ΔK.E = -619,764.92 J

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The magnitude of the gravitational force produced between moon and every gram of sand on its surface is  1.66 x 10⁻³ N.

The gravitational force between the moon and every gram of sand on its surface is determined by applying Newton's law of universal gravitation.

This law states that every object in the universe attracts each other with force that is directly proportional to the product of the masses and inversely proportional to the square of the distance between the objects.

F = Gm₁m₂/R²

Where;

F = (6.67 x 10⁻¹¹ x 0.001 x 7.2 x 10²²) / (1,700,000)²

F = 1.66 x 10⁻³ N

Thus, from the magnitude of the gravitational force produced between moon and every gram of sand on its surface, we can say that it is quite small.

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When using the method of initial rates for a kinetic study, the reaction is performed several times one reactant concentration is kept constant, and the other varies.

Kinetic studies are used to identify the rate of chemical reactions also called chemical kinetics.

In this process, a kinetic model is designed to study the rates of the pathways of the reactions taking place in a chemical reaction.

In general, kinetic studies are of critical importance as they provide verification for the chemical processes being carried out at the moment.

In chemistry, having sufficient knowledge about chemical reactions and mechanisms can be really helpful to find out the best way for a reaction to take place in the best possible short time.

Moreover, the study also allows you to learn about the reactant formation rate and the reactant rate of formation effectively.

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Answer:

Carbon (C)

Explanation:

Usually an atom had the same amount of protons as it does electrons which means the atom has 6 protons.

Carbon is the atom that contains 6 protons.

The acceleration of Roger the Rooster is equal to 0.4167 meters per seconds square (m/s/s).

An acceleration can be defined as the rate of change of the velocity of a physical object or body with respect to time.

In order to determine the acceleration of Roger the Rooster, we would apply the third equation of motion. Mathematically, the third equation of motion is given by:

V² = U² + 2aS

Where:  

Making a the subject of formula, we have:

a = (V² - U²)/2S

Substituting the given parameters into the formula, we have;

Acceleration, a = (2.5² - 0²)/2(7.5)

Acceleration, a = 6.25/15

Acceleration, a = 0.4167 m/s/s.

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The acceleration during uniform motion in ft/sec is -98.42.

We need to know about the uniform motion to solve this problem. The uniform motion is an object's motion under acceleration. It should follow the rule

vt = vo + a . t

vt² = vo² + 2a . s

s = vo . t + 1/2 . a . t²

where vt is final velocity, vo is initial velocity, a is acceleration, t is time and s is displacement.

From the question above, we know that

vo = 9 m/s

t = 0.3 s

vt = 0 m/s

Calculate the acceleration in m/s

vt = vo + at

0 = 9 + a.0.3

a = -9/0.3

a = -30 m/s²

Convert to feet/s

a = -30 m/s

a = -98.42 ft/s

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The resource that is not considered scarce among the four given options is trash.

Trash is available in limited quantity. But a human being has no use for trash. So, trash is undesirable. Therefore, it not considered a resource. A resource mush have value or benefits.

Clean air is considered scarce because, there are some parts of world where you have to spend some money to keep the air clean. Oil is considered scarce because of increase in oil prices all over the world. Fresh water is considered scarce because only 3% of the world's water is fresh water and 2/3rd of it not accessible.

Therefore, the resource that is not considered scarce among the given options is trash.

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1. What is the direction of the induced current in the front side of the coil?

a. Left

b. Right

c. Up

2. in what direction is the magnet moving?

b. Toward

c. Up

d. Down

Hope it helps

To determine the direction of the induced current in the front side of the coil and the direction of the magnet's movement, we can use Faraday's law of electromagnetic induction, which states that an induced current is produced in a conductor when it is exposed to a changing magnetic field.

1.) Direction of the induced current in the front side of the coil:

The direction of the induced current can be determined using Lenz's law, which states that the induced current will flow in a direction that opposes the change that caused it.

If the magnet is moving away from the front side of the coil:

The magnetic field through the coil is decreasing. According to Lenz's law, the induced current will flow in a direction to create a magnetic field that opposes this decrease. Applying the right-hand rule for the direction of the magnetic field around a wire, we can determine that the induced current in the front side of the coil will flow counterclockwise when viewed from the front. Therefore, the answer is option a. Left.

2.) If the magnet is moving toward the front side of the coil:

The magnetic field through the coil is increasing. According to Lenz's law, the induced current will flow in a direction to create a magnetic field that opposes this increase. Applying the right-hand rule for the direction of the magnetic field around a wire, we can determine that the induced current in the front side of the coil will flow clockwise when viewed from the front. Therefore, the answer is option b. Right.

Direction of the magnet's movement:

Based on the given information, the options provided (Away, Toward, Up, Down) are not sufficient to determine the exact direction of the magnet's movement. More specific information is needed to determine the direction of the magnet's movement.

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