The force in Newtons on a particle directed along the x-axis is given by F(x)=exp(−(x/2)+6) for x≥0 where x is in meters. The particle is constrained to move along the x-axis. Find the work done in Joules on the particle, W, in moving it from x=0 to x=1 using the fact that F=dW/dx. For your reference, 1 Joule = 1 Newton × 1 meter.,

Answers

Answer 1
Final answer:

The work done on the particle as it moves from x = 0 to x = 1 meter under the force F(x) = exp(-x/2 + 6) is obtained by integrating the force function over the distance, resulting in a measurable amount of work in Joules.

Explanation:

The work done W on a particle as it moves from initial position xi to final position xf under a force F(x) is calculated by integrating the force over the distance. Considering the given force function F(x) = exp(-x/2 + 6), the work done from x = 0 to x = 1 meter is:


W = ∫ F(x) dx


= ∫ exp(-x/2 + 6) dx from x = 0 to x = 1


= ∫ e(-x/2 + 6) dx from x = 0 to x = 1


= -2e(-x/2 + 6) | from x = 0 to x = 1


= -2(e(-1/2 + 6) - e6)


= -2(e(11/2) - e6) Joules

By calculating the definite integral, we can find the total amount of work done in Joules on the particle during this displacement.

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Related Questions

Which of the following represents the greatest energy transition from a higher energy level to a lower one?


emission of a blue photon of 450 nm

emission of a red photon of 770 nm

emission of a green photon of 550 nm

emission of a yellow photon of 590 nm

Answers

You need to use Planck's law:
E = h·υ = (h·c)/λ

Without making all the calculations, a fraction is bigger than another when the denominator is smaller. Therefore you need to find the smallest wavelength (λ) which is 450nm.

You could also be helped by colors: in order of decreasing energy, you have blue - green - yellow - red.

In any case, the correct answer is a).

Final answer:

The greatest energy transition from a higher energy level to a lower one is represented by the emission of a blue photon of 450 nm.

Explanation:

The greatest energy transition from a higher energy level to a lower one is represented by the emission of a blue photon of 450 nm. This is because the energy of a photon is inversely proportional to its wavelength. As the wavelength decreases, the energy increases. Since blue light has a shorter wavelength than red, green, and yellow light, it has the highest energy.

to increase friction you could :

a.increase the mass of an object
b.put your objects on a wheel
c.make the surfaces smooth or slick

Answers

We would have to consider first, the word friction. This friction, would the signify on how a object would then be attracted by another, using it's own abilities that this friction, and also how strong this friction would then be. Therefore, this would actually only be handled, if the surface would then be as smooth as possible, and also, it would then have to have a slick surface, in order for a object to obtain a certain degree of friction.

Your answer: make the surfaces smooth or slick

Before going to answer  this question first we have to know something about friction.

Friction is the opposing force which is due to interlocking of irregularity and wielding effect.In our naked eye a surface may  look smooth, but at microscopic level, it has elevations and depressions.

A rough surface has more friction as compared to a smoother surface as smoother surface has less irregularity.

Again we know that that rolling friction is less than sliding friction.so whenever the object will be placed  on a wheel,so there will be less friction.

Again we know that the frictional force is directly proportional to the normal reaction.

The empirical formula for frictional force F= coefficient of friction × normal reaction[tex]i.e F=\mu*N[/tex]

so whenever the mass increases ,correspondingly there will be increment in normal reaction which results in the increment in kinetic friction.

But one thing we have to remember that friction is also dependent on contact area.As long as the contact area is same ,there will be no increment in friction due to increment in mass.

So the first answer is partially correct.


20 points BRAINLIEST!!! ASAP ANSWER

Choose one piece of evidence. Explain, in your own words, how it supports the Big Bang Theory.
A. Redshift
B. CMB
C. Hydrogen and Helium
D. Less Evolved Distant Galaxies

Answers

The redshift shows that distant galaxies are moving away. The further away the galaxy, the bigger the redshift. More distant galaxies are moving away faster. Evidence that the universe is expanding and the start of the universe could have been from a single explosion. The Big Bang theory proposes that the universe began in a small space that was hot and dense and then expanded. A massive explosion expansion sent all matter outwards which caused the universe to expand.

if an elephant has a mass of 2,000 kg, what is its weight on Earth? (1 point) A. 0.0049 N B. 204 N C. 19,600 N D. 43,100 N

Answers

the gravity of earth is 9.8.so to find the weight:
[tex]2000 \times 9.8 = 19600[/tex]
C is true
19,600N

Answer:

Option C is correct, 19,600N

Explanation:

An elephant has a mass of 2000kg, m=2000kgGravitational acceleration, g=9.8weight ?thus applying formula; W=mgputting values, W=2000×9.8=19600NWhat is gravitational acceleration?

Gravitational acceleration (symbolized g) is a physics term that denotes the strength of a gravitational field. It's measured in meters per second squared ([tex]m/s^{2}[/tex]). 1 g is approximately 9.8 [tex]m/s^{2}[/tex] at the earth's surface.

hence, Option C is correct, 19,600N

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Where in the motion is the magnitude of the net force on the object a maximum? where in the motion is the speed a maximum?

Answers

Assuming you are asking about some sort of oscillation, the magnitude of the net force is maximum where the acceleration of the object is the largest. The velocity of an object is maximum where the acceleration is zero.

As part of the photoelectric effect, which of these is responsible for the pixels in an image on a digital camera?

A. accumulated electrons that are absorbed by the image sensor.
B. accumulated electrons that are ejected by the image sensor.
C. accumulated photons that are ejected by the image sensor.
D. accumulated photons that are absorbed by the image sensor.,

Answers

The answer is D. Photons are individual units of light. In order for an image to exist, they need to be absorbed by something that can use them to create the picture. In old days, this was Silver Nitrate applied to film, but today it is the digital camera itself that does this. Electrons are something different entirely, so A and B are wrong, and C is wrong because the photons are not ejected by the image sensor.

Answer:

It's B) accumulated electrons that are ejected by the image sensor

 On edge 2020

Explanation:

To find amplitude, measure _____.
A: the horizontal distance between consecutive crest positions
B: the horizontal distance between a consecutive crest and trough
C: the vertical distance from a crest to a trough
D: the vertical distance from a crest to the rest position
Never mind, use this for free points. I already answered it.

Answers

Final answer:

The amplitude of a wave is defined as the vertical distance from a crest (or trough) to the rest (equilibrium) position of the wave. Thus, to determine the amplitude, one must measure this vertical distance.

Explanation:

The amplitude of a wave is the measure of the maximum displacement of the medium from its rest position. It can be seen as the 'height' of the wave, and it's measured vertically. If we consider a wave to be symmetrical, the crest (top of the wave) is distance +A above the equilibrium (resting) position, and the trough (bottom of the wave) is distance -A below it.

Thus, the amplitude refers to the vertical distance from a crest (or trough) to the rest position. In simpler terms, to find the amplitude, measure the vertical distance from a crest to the rest position. Hence, the correct answer is D: the vertical distance from a crest to the rest position.

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Write the value 299,792,458 m/s in proper scientific notation to 4 significant figures. 2.998 × 108 m/s 2.997 × 108 m/s 2.998 × 106 m/s 2.997 × 106 m/s

Answers

First, let's find the correct exponent. We have 8 digits after the first digit (2), therefore the exponent will be 8. So, the correct answer must be among the first two options.
To understand which one is correct, let's have a look at the digits after 2. We have: 9979. If we want to round this number, it will be 998, because after the 7 we have a digit which is larger than 5, so 7 must be rounded to 8. Therefore, the correct number will be:
[tex]2.998\cdot 10^8 m/s[/tex]

A 9.0 cm object is 3.0 cm from a lens, which has a focal length of –12.0 cm.

Answers

The question is missing, but I guess the problem is asking for the distance and the size of the image.

Let's find the distance first, by using the lens equation:
[tex] \frac{1}{f}= \frac{1}{d_o}+ \frac{1}{d_i} [/tex]
where f is the focal length, [tex]d_o[/tex] the distance of the object from the lens, [tex]d_i[/tex] the distance of the image from the lens. Using [tex]f=-12.0 cm[/tex] and [tex]d_o=3.0 cm[/tex], we find
[tex]- \frac{1}{12}= \frac{1}{3}+ \frac{1}{d_i} [/tex]
[tex]d_i=- \frac{12}{5}=-2.4 cm [/tex]
where the negative sign means the image is virtual, so located in front of the lens.

Now we can find the size of the image, using the relationship:
[tex] \frac{h_i}{h_o} =- \frac{d_i}{d_o} [/tex]
where [tex] h_i[/tex] and [tex] h_o[/tex] are the size of the image and of the object, respectively.
By using [tex] h_o=9.0 cm[/tex], we can find [tex] h_i[/tex], the size of the image:
[tex] h_i=-h_o \frac{d_i}{d_o}=-(9.0 cm) \frac{(-2.4 cm)}{3.0 cm}=7.2 cm [/tex]
where the positive sign means the image is upright.
The correct answers should be -2.4, 7.2, concave in that order

What electron current is driven through a 2.3-mm-diameter iron wire by a 0.063 v/m electric field?

Answers

Final answer:

To calculate the electron current driven through the iron wire, we need to find the drift velocity and the number of free electrons per cubic meter. By using the formula I = nqAvd, we can calculate the current.

Explanation:

The electron current driven through the iron wire can be calculated using the formula I = nqAvd. Given that the electric field is 0.063 V/m, we need to calculate two quantities: the drift velocity (vd) and the number of free electrons per cubic meter(n). We can then substitute these values into the equation to find the current (I).

To calculate the drift velocity (vd), we need to calculate the number of free electrons per cubic meter (n). We can use the density of iron (8.80 × 10³ kg/m³) and the atomic mass of iron (63.54 g/mol) along with Avogadro's number (6.02 × 10²³ atoms/mol) to determine n.

Finally, substituting the values of n, q, A, and vd into the equation I = nqAvd, we can calculate the electron current driven through the iron wire.

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is the following chemical equation balanced? 2Na + 2H 2 O 2NaOH + H 2

Answers

yes 2Na + 2H 2 O 2NaOH + H 2 is a balanced chemucal equation

Yes it is.


There are 2 Na atoms on each side,

there are 4 H atoms on each side (2H and H₂),

there are 2 O atoms on each side.

This means that the equation is even (not accounting for energy loss or anything like that).

Which statement describes what most likely occurs when a compass is placed next to a simple circuit made from a battery, a light bulb, and a wire?

A. A magnetic field created by the compass increases the current in the electrical circuit.
B. A magnetic field created by the compass causes the light bulb to stop working.
C. A magnetic field created by the electric current places negative charges on the compass.
D. A magnetic field created by the electric current causes the compass needle to move.

Answers

When a compass is placed next to a simple circuit made from a
battery, a light bulb, and a wire, the magnetic field created by the
electric current in the wire causes the compass needle to move. (D)

In this circuit A magnetic field created by the electric current causes the compass needle to move. hence option D is correct.

Faraday's law of induction ?

Faraday's law states that "change in a magnetic field produces electric field in the circuit". It can also be stated as " when magnetic flux linked to a circuit changes, an electromotive force is induced in the circuit which is proportional to the rate of change of the flux".

If the wire shown in the circuit is non coated with insulated material. Current flowing through the circuit produces magnetic field around it. This produced magnetic field affects the magnetic field of middle of the compass. Created magnetic field of wire attract needle due to its magnetic field, as a result needle moves.

Hence option D is correct.

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A dog travels north for 18 meters, east for 8 meters, South for 27 meters and then west for 8 meters. What is the distance the dog traveled and what is the displacement of the dog.

Answers

Answer:

Distance = 18 +8+ 27+8 =61

Displacement 27 - 18 = 9

Explanation:

What is the difference between faults and folds?

Answers

Hello,

The answer is "one involves displacement other involves deformation ".

Reason:

A fault is a an extended break in a body of rock (involving displacement) and a fold is a bent or curved as a result of permanent deformation.

If you need anymore help feel free to ask me!

Hope this helps!

~Nonportrit

Homeowners will typically have their heaters set for about 140 degrees F. What is that temperature in C.

Answers

It would be 60 degrees Celsius:)

To convert 140 degrees Fahrenheit to Celsius, subtract 32 from the Fahrenheit temperature and multiply the result by 5/9, resulting in 60 degrees Celsius.

To convert a temperature from Fahrenheit to Celsius, we can use the formula: C = (F - 32) × 5/9, where F is the temperature in degrees Fahrenheit and C is the temperature in degrees Celsius. So, for a heater set to 140 degrees Fahrenheit, the conversion to Celsius would be:

C = (140 - 32) × 5/9

C = (108) × 5/9

C = 60

Therefore, 140 degrees Fahrenheit is equal to 60 degrees Celsius. This knowledge is essential when discussing the power needed to keep a house warm, as energy requirements are usually given in watts per degree Celsius (W/°C).

I need help with 2 questions . Please help c:

1 . According to the nebular theory, the solar system formed from ?

accretion of protoplanets.
a large, thin cloud of dust and gas.
colliding planetesimals.
all of the above

2. Which of the following statements explains why the terrestrial planets are small and rocky instead of large and less dense like the gas giants?

The inner planets were exposed to much higher temperatures.
Ice-forming compounds vaporize at high temperatures.
Rock-forming materials can condense at high temperatures.
all of the above

Answers

a) According to the nebular theory, the Solar System formed from a huge gaseous nebula which at a certain point was perturbated. Atoms and molecules started colliding, forming planetesimals (a sort of big rocks). The planetesimals were attracted to each other by gravity, forming bigger warm almost spherical objects called protoplanets, which at the end cooled down forming planets.
Therefore the correct answer is "all of the above".

b) The planets closer to the Sun were (and still are) subject to higher temperatures, due to their close distance to the Sun. In these conditions, rocky materials undergo condensation, while iced gaseous materials undergo vaporization. In the outer parts of the Solar System temperatures are too low to allow these transformations.
The correct answer is again "all of the above".

The sound intensity of street traffic is about 107 times greater than the threshold of hearing. what is the relative intensity of street traffic? use the formula

Answers

From the information, the sound intensity of street traffic is about 10^7 greater than the threshold of hearing.
Therefore; if the threshold of hearing is 1 then the street traffic is 10^7 times greater. Sound intensity is the sound power per unit area (W/m²), a sound energy quantity, the SI units are Watts/square meter. Sound intensity level in decibels is ten times the logarithm of the ratio of the sound intensity to the reference sound intensity of 1 pico watt/m²
Hence; the intensity level is LI = 10 × log (10 ^7)/1) dB
                  = 70 dB greater than the threshold of hearing at 0 dB
 Thus the relative intensity of street traffic is 70 decibels. 

Jesse travels 3.0 meters east and then turns and travels 4.0 meters north. Which of the diagrams below illustrates his displacement?


Answers are in the diagram below.

Choose one.

And I will mark the right answer The Brainliest.

Answers

The second diagram. The arrow of the 3meters journey rests underneath the tail of the 4meters journey, and are both joined by the resultant 5meters vector joining the tail to the arrow

Answer: the Fourth diagram

Explanation: The fourth diagram shows movement from her origin with the arrows indicating her movement 3metres east, from where she turns north and walks 4 metres the arrows indicates that. The resultants 5meters indicates her return back to her starting point with the arrow pointing at the tail of the 3metres.

The closeness of measured values to an accepted value is the BLANK of the data ?

Answers

Answer: accuracy

Justification:

Any measure of a physical data is subject to errors. The errors can be of different kind.

The closer is a measure to the real or accepted value the more accurate the measure is.

For example, if you measure the length of a sheet of paper letter size and you know that the accepted value is 11 inches, then you can tell how accurate your measure is comparing with 11 inches.

Many times the measure is affected by the accuracy of the instrument used (the divisions), but it is also subject to human errors, and may be errors due to the method of measuring.

Bob read data from the projectile motion lab graph shown and determined that the drop time was inversely proportional to the horizontal velocity. Which of the following statements is true?

Bob's conclusion was wrong because the x-axis scale is exaggerated.

Bob's conclusion was right because the data points were connected.

Bob's conclusion was wrong because the y-axis scale is exaggerated.

Bob's conclusion was right because the x-axis scale is exaggerated.,

Answers

When he determined that the drop time was inversely proportional to the horizontal velocity, the answer for it would be Bob's conclusion was right because the data points were connected.  The connection of the x and y axis varied  because it is inversely proportional.

Andesitic rocks have mineral compositions between those of ____ and basaltic rocks.

a. conglomerate

c. granitic

b. metamorphic

d. organic

Answers

The answer is C, granitic.
Answer:

The answer is Granitic rock

Explanation:

Granite is a light-colored igneous rock with pieces that are large enough to be visible with the naked eye. It is formed from the slow crystallization of magma below Earth's surface which we call as lava. Granite is composed mainly of quartz and feldspar with very small amounts of mica, amphiboles, and other minerals. If we talk about Andesitic rocks, they contain mineral compositions between those of granite and basaltic rocks.


Which of the following are metalloid elements?

Check all that apply.

A. Boron (B)
B. Phosphorus (P)
C. Silicon (Si)
D. Tin (Sn)
E. Lead (Pb)

Answers

uuuuuuuuuuuuuuuuuiiiiiiiiiiiii
Boron and Silicon are metalloids

How are important properties of Mercury, Venus, and Mars different from important properties of Earth?

Answers

Hi there,

There is one thing that is the most difference about other planets. Earth is a perfect condition for humans, animals, and other living things. Venus and Mars are not quite good for that. Venus has a very HOT surface, which makes it nearly impossible to be on. Mars on the other hand is very COLD, colder than earth because it is farther from the sun.

1. Show how the alternative definition of power, found in your book, can be derived by substituting the definitions of work and speed into the standard definition of power, P = W / delta t.

2. A real spring does not oscillate forever. Instead, it eventually comes to a stop. Does this violate the Law of Conservation of Energy? Explain why or why not.

Answers

1) Star from the definition of power:

P = work/ time = W / Δt

We know that work is given by force times displacement:
 W = F · Δd
Substituting in our formula: 
P = F · Δd / Δt

But we know by definition that Δd / Δt = velocity, therefore we can write:
P = F · v
which is the alternative formula saying that Power is equal to Force times Velocity

2) No, it is not a violation of the Law of conservation of energy because as the spring slows down, the kinetic energy is transformed into potential energy and their sum stays constant.

Which mineral is hard and has the same color and streak

Answers

Final answer:

A hard mineral with the same color as its streak is likely a metallic mineral, with examples including hematite and galena. The streak test is performed using an unglazed porcelain plate to reveal the color of the mineral's powder form.

Explanation:

The mineral in question, which is hard and has the same color as its streak, could refer to one of the metallic minerals, as they often have a streak color that is indicative of their actual color. Examples include hematite, with a dark gray on hand-sample but a red-brown streak, or galena, which has a dark gray streak matching its dark gray appearance. To determine the streak color, one can perform a streak test by rubbing the mineral across an unglazed porcelain plate. This test is useful because the powder form of the mineral may show colors that are different from the bulk mineral due to the particle size affecting how light is absorbed and reflected.

Whats number 4 ?????????

Answers

I believe c is the right answer.

A rock is thrown upward with an initial velocity of 16 ft/s from an initial height of 5 ft. write a quadratic function equation that describes the height h at time t.

Answers

Final answer:

The quadratic function equation that describes the height of the rock is h = -16t^2 + 16t + 5.

Explanation:

To write a quadratic function equation that describes the height h at time t, we can use the kinematic equation for vertical motion: h = -16t^2 + 16t + 5. This equation represents the height of the rock as a function of time, taking into account the initial height, initial velocity, and acceleration due to gravity. The coefficient -16 in front of t^2 accounts for the downward acceleration of the rock.

How many atoms of each element are in the chemical formula P2O5?

2 phosphorus and 5 oxygen
5 phosphorus and 2 oxygen
1 phosphorus and 5 oxygen
2 phosphorus and 1 oxygen
the answer is the last one

Answers

2 phosphorus and 5 oxygen

Answer:

2 phosphorus and 5 oxygen

Explanation:

The chemical formula of the substance is:

[tex]P_2 O_5[/tex]

where each subscripts indicates the number of atoms of each element. We see that P (phosphorus) has a subscript '2' while O (oxigen) has a subscript '5', so the correct answer is

2 phosphorus and 5 oxygen

Know the characteristics of a solid, liquid, gas, plasma. (Definite shape/ volume?)

Answers

solids-are molecules that are together at all times( unless changed by a liquid or gas)

liquid-are molecules that move around freely in 1 space but can be changed to solid or gas

gas- molecules that move around freely and can be hot or cold depending

plasma- a material that goes to forming a cell or a liquid without any structual particles
There you go!

Thunderstorms occur where warm, moist air has absorbed enough heat and moisture to be significantly __________ than the surrounding air.

Answers

Students should realize that if an object weighs more than an equal volume of water, it is more dense and will sink, and if it weighs less than an equal volume of water, it is less denseand will float. Remember that the density of water is about 1 g/cm3. Predict whether the following objects will sink or float.

The answer is less dense
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