The function s(t) represents the position of an object. suppose s(2) = 125 and s(4) = 175. find the average velovity of the object over the interval of time [2,4]

Carbon has been converted to carbon dioxide and escaped into the atmosphere.

Diamond is a mineral composed of only Carbon in which its atoms are arranged in a crystal structure.

Diamonds (pure crystalline carbon C) heated strongly in the presence of oxygen will react with the oxygen to form carbon dioxide.

C ( diamond ) + [tex]O_{2}[/tex] ( air ) → C[tex]O_{2}[/tex]  

Therefore, the carbon which forms the diamond, has been converted to carbon dioxide and escaped into the atmosphere

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When an electron is released from rest in a uniform electric field, its electric potential energy increases and this happens due to Law of Conservation of Energy.

The power that is required to move a charge in opposition to an electric field is known as electric potential energy.

A charge must be moved through a stronger kind of electric field with more energy, but it also must be moved through a weaker electric field but present with more energy.

When an electron is released from rest in a uniform electric field it accelerates opposite to the direction of field. Thus, according to the Law of conservation of energy, this energy is increased.

In any kind of uniform electric field, a positive charge that has been at rest accelerates in the direction of the electric field. Therefore, because of this and as a result of the law of conservation of energy, K.E. rises while P.E. falls.

Therefore, P.E. of positively charged particles decreases because the force q causes charged particles to move faster in the direction of the field.

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Isaac Newton developed gravitational theory and used the theory to describe the orbits of celestial bodies

Newton's law describes the "strength of the force of gravity between two objects," which decreases as one moves away from light. It is mathematically recognized as an "inverse square law."

The following process for picturing the field drop-off is to envision the field of gravity around an object as a set of concentric spheres. Each sphere represents the same volume of the gravitational field, but the spheres furthest from the object are larger, resulting in the same volume of field is distributed thinly over a larger area.

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Both countries will have the same advantage in producing goods if they produce the consumption goods and capital goods and currently have identical production curves.

According to the theory of comparative advantage, a person should participate in an economic activity in which they have a comparative advantage, i.e., in which they are more effective than in the other activity. In terms of economies, they should engage in the production of those commodities and services at which they are better placed than the other.

The output potential, resource level, and technological level of two nations A and B are identical. This suggests that both countries A and B are producing at the same level and that neither one is doing better than the other in terms of production.

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Air starts exerting more and more pressure on the walls of the syringe

What will happen to air particles when the are being compressed in a syringe?

Although the space has grown, the individual atoms and molecules can now go farther before running into a nearby atom or molecule because they can now bounce off the walls of the syringe instead of directly bouncing into one other.

Additionally, as the syringe is compressed, you are essentially cramming the same molecules into less space, which causes them to traverse shorter distances and collide more frequently.

This has to do with pressure because when molecules strike the syringe's walls, they bounce off, creating a force and response force that keeps the syringe's walls stiff against the environment it's in or the outside atmosphere. Atoms and molecules essentially bounce off the walls inside the syringe just as much as molecules outside the syringe do when the pressure inside and outside is equal. When the volume of the syringe is increased, the air molecules fill it up, which results in fewer impacts with the inner wall and less force holding the interior rigid to the exterior. Conversely, when the volume is decreased, the impacts happen more frequently because the molecules have nowhere else to go and no more space to travel before encountering another molecule or a wall, so the increase in the frequency of the impacts leads to an increase in the force holding the interior rigid to the exterior.

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The jogger's acceleration is 0.558m/[tex]s^{2}[/tex]. 9.628 in [tex]m/hr^{2}[/tex] is the acceleration of jogger.

The rate at which an object's velocity with respect to time varies is referred to as acceleration in mechanics. The vector quantities are the accelerations (in that they have magnitude and direction). An object's acceleration is determined by the direction of the net force exerted on it.

According to Newton's Second Law, an object's acceleration is determined by a combination of two factors: the mass of the object and its mass, depending on the materials from which it is made. The magnitude of an object's acceleration is directly proportional to the net result of all external forces acting on the object.

The acceleration is measured in meters per second squared in the SI system.

For example, when a vehicle starts from standstill (zero velocity, in an inertial frame of reference) and travels in a straight line at increasing speeds, it is accelerating in the direction of travel. If vehicle turns, an acceleration occurs toward the new direction and changes its motion vector.

The acceleration of vehicle in its current direction of motion is called a linear (or tangential during circular motions) acceleration, the reaction to which the passengers on board experience as a force pushing them back into their seats. When changing direction, effecting acceleration is called radial (or centripetal during circular motions) acceleration, the reaction to which the passengers experience as a centrifugal force.

Jogger's acceleration = 0.558m/[tex]s^{2}[/tex]

1 hour= 3600s

acceleration in mi/[tex]hr^{2}[/tex]=( 0.558*3.28*[tex]\frac{1}{5280}[/tex])/ (1*[tex]\frac{1}{3600}[/tex])= 9.628m/hr[tex]^{2}[/tex]

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An athlete runs  34.271 kilometer.

solution,

Here , 1 miles is equal to 1.6093 km

therefore,  an athlete runs  21.3 miles

The distance measured in kilometer of athlete preparing for a marathon is given as ,

1 mile = 1.6093 km

21.3 miles = 21.3 × 1.6093 km

21.3 miles =34.271 km

Therefore an athlete preparing for  a marathon runs 34.271 km.

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wavelength at the maximum energy radiated by the sun is

499× 10⁻⁹m  (499nm)

wavelength at the maximum energy radiated by the sun occur measure by:

wien's displacement law : The black body radiation at a wavelength is inversely proportional to temperature.

acc. to wien's displacement law

λ= b/T

 λ is wavelength

where T is the temperature

The sun has a surface temperature of approximately 5800 k.

b is constant of proportionality

b = 2.8977×10⁻³mk

T = 5800k

using values in above equation

λ = 2.8977 × 10⁻³ mk/ 5800k

λ= 499× 10⁻⁹m  =499nm

wavelength at the maximum energy radiated by the sun is

499× 10⁻⁹m  =499nm

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First, it depends on the cross-sectional/frontal area of the falling object, that is the amount of air the object must plow through as it falls. Second, it depends on the speed of the falling object.

When an object is dropped through the air, it usually faces air resistance. Air resistance is caused by collisions between the object's leading air and surface molecules. Several variables determine the actual degree of air resistance the object faces. The object's speed and the frontal area of the object are the two predominant factors that have a direct effect on the amount of air resistance. Increased speeds cause an increase in air resistance. Increased cross-sectional areas lead to increased air resistance.

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The speed of car is 106.67 miles per hour

To solve problems involving speed and distance we are required to first find speed or distance travelled in an hourly timeframe

It is given that car takes 4 hours to cover the distance at a speed of 40 miles per hour

Therefore, total distance travelled by the car= speed x time

                                                                          = 40 miles per hour x 4 hour

                                                                          =160 miles

We are required to find the speed of the car if the distance is to be covered in 1.5 hours

We are required to find the speed by the formula speed= Distance/time

distance= 160 miles     time = 1.5 hour

speed= 160/1.5=106.666=106.67 miles per hour

Hence the speed is 106.67 miles per hour

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Astronomers observe a typical star using a telescope and a spectrometer, and thereby they will see a given absorption spectrum of the celestial body.

The absorption spectrum of a given star in space is the light that is emitted by this celestial body in Universe, which can be measured by different technological devices including a spectrophotometer.

In conclusion, astronomers observe a typical star using a telescope and a spectrometer, and thereby they will see a given absorption spectrum of the celestial body.

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The potential difference of 2.7 x [tex]10^{4}[/tex] volts is needed.

We have an X - Ray tube to produce X - Rays.

We have to determine what potential difference to produce X-rays with a minimum wavelength of 45.0 pm ?

An X - Ray is an electromagnetic wave of high energy and very short wavelength, which is able to pass through many materials opaque to light.

According to the question, we have -

λ = 45 pm = 4.5 x [tex]10^{-11}[/tex] meter

h = 6.63 × [tex]10^{-34}[/tex]Js

c = 3 x [tex]10^{8}[/tex] m/s

We know -

E = hv

where v is frequency.

E = [tex]$\frac{hc}{\lambda}[/tex]

When accelerated through a potential difference of say V volts, then -

E = E(k) = eV

Therefore -

eV =  [tex]$\frac{hc}{\lambda}[/tex]

V = [tex]$\frac{hc}{e\lambda }= \frac{6.63\times 10^{-34} \times 3\times 10^{8} }{1.6\times 10^{-19} \times 4.5 \times 10^{-11} }[/tex] = 2.7 x [tex]10^{4}[/tex] volts

Hence, the potential difference of 2.7 x [tex]10^{4}[/tex] volts is needed.

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Answer:

4:Hhhhghhhhhhhhhhhhhhhhhhhhhhhhhhhhh. 5:Bbbbbbbbbbbbbbbbbbbbb

The basketball that 20 ounces and has a volume of 456 in3 has a density of 0.076 g/cm3

The density formula and the procedure we will use is:

ρ = m/v

Where:

Information about the problem:

m = 20 oz

v = 456 in3

ρ= ?

By converting the mass from ounces to grams, we get:

20 oz * (28.3495 g / 1 oz) = 566.99 g

By converting the volume from in3 to cm3, we get:

456 in3 * (16.3871 cm3 / 1 in3) = 7472.52 cm3

Applying the density formula, we get:

ρ = m/v

ρ = 566.99 g/ 7472.52 cm3

ρ = 0.076 g/cm3

It is a physical quantity that expresses the ratio of the body mass to the volume it occupies.

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The average acceleration is 6.87 m/s^2.

It travels up to 52.25m in that time.

a) The motorcycle is initially at rest. this means that the initial velocity is Zero.

The average acceleration is caused by the kinematic equation of motion in terms of velocity, acceleration and time.

V = u + at

So substituting all the values, we have,

26.8 = 0 + 3.90*a

⇒ a = 26.8/3.90

⇒ a = 6.87 m/s^2

Hence the Motorcycle has the average acceleration 6.87 m/s^2

b) The distance travelled by the motorcycle in the time 3.9s can be found be the kinematic equation of motion in terms of position with constant acceleration.

S = ut + 1/2 at^2

Substituting all the values,

x = 0*3.9 + 1/2[(6.87)(3.90)^2]

x = 1/2[(6.87)(3.90)^2]

⇒ x = 52.25m

Thus, the motorcycle can travel upto 52.25m in that time.

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The average velocity in the first 45 seconds 3.11m/s and in the next 25 seconds is 3.6m/s and finally the average velocity for the entire trip is 3.28 m/s

The displacement of an object over time is its average velocity. We divide the distance traveled by the amount of time to determine an object's average speed. We are aware that velocity is a vector quantity, and that dividing displacement by time yields the average velocity.

1 ) 140 m to west in 45 seconds .

2 ) 90 m to east in 25 seconds .

The distance travelled by the balloon in first 45 s = 140 m

distance travelled by the balloon in next 25 s = 90 m

Total distance travelled by the balloon = 140 m + 90 m = 230 m

J ) average speed in first 45 s= distance in 45 s

= 140 ÷45 = 3.11 m /s

K ) average speed in next 25 s

distance in 25 s / 25

= 90÷ 25 = 3.6 m /s

L) average in entire trip

=  total distance / total time

= (140 + 90) ÷( 25 + 45 )

= 3.28 m /s

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By using uniform motion, the distance needed to stop at the red light is 54.36 m.

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

a = -3 m/s²

vo = 65 km/h = 18.06 m/s

vt = 0 m/s

By using the second equation, we get

vt² = vo² + 2a . s

0² = 18.06² + 2(-3) . s

6s = 326.16

s = 54.36 m

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The equation of the normal line is y = - 2x + 3

We know that,

The equation of normal line given of the curve is given by

( y - [tex]y_{1}[/tex] ) = m ( x - [tex]x_{1}[/tex] )

Given that,

Equation of curve is y = [tex]\sqrt{x}[/tex]

Equation of the line parallel to the normal line of curve is 2x + y = 1

The slope of normal is same as that of the line parallel to it. So,

2x + y = 1

y = - 2x + 1

On differentiating both sides by x,

dy / dx = - 2

which is the slope of normal line

To find slope of the curve,

y = [tex]\sqrt{x}[/tex]

y = [tex]x^{1/2}[/tex]

dy / dx = 1/2 x

which is the slope of the curve.

Since the curve and its normal line is perpendicular,

[tex]m_{1} m_{2}[/tex] = -1

-2 * 1/2 x = -1

x = 1

At x = 1,

y = [tex]\sqrt{1}[/tex] = 1

The point is ( 1 , 1 )

The equation of normal line given of the curve is

( y - [tex]y_{1}[/tex] ) = m ( x - [tex]x_{1}[/tex] )

y - 1 = - 2 ( x - 1 )

y = - 2x + 3

Therefore, The equation of the normal line is y = - 2x + 3

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Option D: John will express his brightness unit in candela.

Power, or the rate at which energy is utilized or produced over time, is measured in watts. Energy providers utilize watts to calculate the amount of electricity we use in Kilowatts per Hour (kWh), which is equivalent to 1,000 watts used for one hour.

A fundamental unit of measurement for the amount of visible light that a light source emits is called a lumen (lm), also known as luminous flux.

Simply put, to assess the power of a lamp inside a lighting fixture, look for the total number of Lumens.

In addition to the light itself, a number of other elements must be considered when estimating the amount of light that is emitted. Most lamps are housed in a light fixture that is composed of diffusers and reflectors, among other parts.

These variables, along with others like the shape and number of lights, will affect the luminaire’s brightness and light dispersion.

Luminaire efficacy considers these factors to give a more accurate estimation of the lumens generated by the entire luminaire once it is fully constructed.

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A decrease in one's ability to hear high-pitched, high frequency sounds is known as high-frequency hearing loss.

The term hearing has to do with the ability to pick out sounds. It is the ability to comprehend the meaning of sounds which may be disconnected or coherent.

Hearing occurs both at low and high frequency. The loss of hearing depends on what area of the ear that has been affected. Thus, if the inner ear of a person has been affected, there is a decrease in one's ability to hear high-pitched, high frequency sounds which is known as high-frequency hearing loss.

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The discovery of ribozymes provide evidence that life on the early earth may have been based on RNA world hypothesis.

We must think about how these mechanisms developed during evolution in order to completely comprehend the processes taking place in modern living cells.

The production of genetic information, which today requires incredibly complicated machinery and travels from DNA to protein via an intermediary called RNA, is the most fundamental of all such issues.

One theory holds that there was an RNA world on Earth before contemporary cells emerged. This is the hypothesis.

RNA was a genetic information repository and a catalyst for chemical reactions in the earliest cells.

Proteins took over as the main catalytic and structural component of cells considerably earlier in the evolutionary process than DNA, which didn’t become the major genetic component until much later. If this hypothesis is correct, the departure from the RNA world was never truly complete.

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The 88 sectors into which astronomers today divide the celestial sphere (the whole sky) are called constellations.

A constellation is a group of stars that make an imaginary shape in the night sky.

They are usually named after mythological characters, people, animals and objects

Astronomers divided the entire sky into 88 sectors, or constellations; this international system codifies the naming of stars and star patterns that began in prehistoric times.

Thus, the 88 sectors into which astronomers today divide the celestial sphere (the whole sky) are called constellations.

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Between the plates the equipotential are evenly spaced and parallel.

Equipotential lines -  A line along which the electric potential is constant.

These lines are are perpendicular to electric field lines.

These are also known as isolines of electric potential.

Potential is most positive (greater) near the +ve charge and more negative (least) near -ve charge.

Work along the electric field lines depends on the magnitude of the charge and the potential difference through which the charge is moved.

An equipotential surface is a 3D version of equipotential line.

Equipotential surface is a surface on which the electric potential is same at every point.

Field lines and equipotential surface are always perpendicular to each other.

Between the plates the equipotential are evenly spaced and parallel.

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Answer:

6.7 x 10^8 mi/hr

Explanation:

Do the math with units ONLY

   km/s    *   miles/ km   *  s/hr   =   mi / hr    ( ...as the km and s cancel out)

                           now.... put in the numbers

     3 x 10^5   km/s   *   .62  mi/km  * 3600 s / hr  = 6.7x 10 ^8  mi/hr

A measure of how quickly a conductor moves across a field. The voltage induced increased as the conductor moved through the field more quickly. The induced voltage and speed are directly inversely proportional.

Current can only flow when a circuit is closed or complete, hence, unless the circuit is completed current will not flow

What is Electro-Magnetic Induction?

This a phenomenon whereby a wound wire or a soft core of conductor made to cut across magnetic line of force and an E.M.F is generated, this E.M.F forces current to flow if the circuit is completed.

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The two principal factors that affect the force of air resistance on a falling object are frontal area and speed, because the force mostly depends on these two factors.

When an object falls through the air, it mostly encounters some sort of resistance to its speed and this resistance is named air resistance.

This resistance is present because of the collisions of the air molecules with the frontal surface molecules of the object.

Simply state, the two most common factors that have an impact on the degree of air resistance can be said out as the speed of the object and then the cross-sectional are of the object.

Because the more the speed, the more the air resistance and so is the case with the cross-sectional area.

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The half-life of a nuclide that loses 38.0% of its mass in 407 hours is 737 hrs

Let the initial mass of nuclide is N° = 100

The final mass of nuclide after 407 hours

= 100 - 38 = 62

The expression for decay constant is

λ = 1/t ln(N°/Nt)

Substitute the given values and calculate the decay constant as,

λ = 1/407hr ln(100/62)

λ = 9.4 x 10^-4/hr

Now, the half-life is calculated as,

t1/2 = 0.693/λ

= 0.693/9.4 x 10^-4/hr

t1/2 = 737 hrs

Hence, the half-life of a nuclide is 737 hrs

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A worker at the top of a 459-m-tall television transmitting tower accidentally drops a heavy tool. If air resistance is negligible, how fast (in m/s) is the tool going just before it hits the ground?

The rule of conservation of energy (the heavy tool’s potential energy at a height of 551 meters above the ground becomes its kinetic energy at ground level) allows us to determine the speed of the object when it hits the ground:

PE=KE

Since mgh=1/2mv2, the mass can cancel out.

In the case where g=9.81m/s2, gh=1/2v2

V=√2gh

=√2*9.81m/s2*459

=3 m/s

It’s possible for an object to have both kinetic and potential energy at once. For instance, a falling object that has not yet hit the ground has both kinetic and potential energy because it is traveling downward and has the capacity to go still further.

The mechanical energy of an object is the total of its potential and kinetic energies.

A falling object loses potential energy while gaining kinetic energy. The difference between the increase in kinetic energy and the decrease in potential energy is exact.

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The equation can be used to obtain the weight as 40N.

In this problem, we are asked to obtain the equations and thus the problems as shown. We shall now proceed to use the equations are required.

1) W = mg

W = weight

m = mass

g = acceleration due to gravity

W = 4 Kg * 10 m/s^2 = 40 N

2) v = u + at

v = final speed

u = initial speed

a = acceleration

t = time

3 = 0 + 2a

3 == 2a

a = 1.5 m/s^2

3) v = d/t

v = speed

d = distance

t = time

v = 15 m/30 s = 0.5 m/s

4) W = fd

W = work

f = force

d = distance

W = 25 N * 8 m = 200 J

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This is an example of regulatory environmental force.

A tanning bed is a place where the skin is darkened. The term tanning has to do with the process of the darkening of the skin. It could bee achieved naturally when a person is exposed to the ultraviolet radiation from the sun. As such, a person that has a white skin could make his/her skin dark by tanning.

Now, the proposed law in new jersey that would ban the use of tanning beds by anyone under the age of 18 is a restriction that  would be an example of regulatory environmental force.

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