two charges (+3uC on the left of the -5uC) are separated by a distance of 5um on a horizontal line. Point P is located 10um above the 3uC charges. a) Draw a sketch of the setting discussed in the question above. Make sure to label all points. b) calculate the field at point P. c) Calculate the potential at point P. d) the force on a +2uC placed at point P
Answers
the concept of vector electric field, the potential electric as a scalar we can find the total electric field, the electric potential and the force on a charge at a given point, the answers are
b) E = (1.61 i ^ + 5.92 j ^) 10¹⁴ N/C
E = 6.135 10¹⁴ N /C, θ = 15.2º
c) V = - 1.3 109 V
d) F = 1.23 10⁹ N, θ = 15.2º
Given parameters
The charges q₁ = + 3 10⁻⁶ C and q₂ = -5 10⁻⁶C and q₃ = +2 10⁻⁶ C The distance between charges 1 and 2 x = 5 10⁻⁶ m The distance between load 1 and the test point y = 10 10⁻⁶ m
to find
a) system scheme
b) the electric field at the test point
c) The electric potential at the test point
d) The force on q₃ at the test point
a) In the adjoint we can see a diagram of the charges and the distances in the exercise there are also the electric field vectors, the force vectors have the same direction as the electric field vectors.
b) The electric field is a vector magnitude that for point charges is given by
E = k \(\frac{q_i}{r^2}\)
Where E is the electric field, k is the Coulomb constant (k=8.99 10⁹N m²/C²), q the charge and r the distance between the charge and the positive test charge
The electric field at test point P is the vector sum of the fields created by each
E_{total} = E₁ + E₂
E₁ = k q₁ / y²
E₂ = k q₂ / r²
bold indicates vectors
let's find the distances
distance from q₁ to the test point
r = y = 10 10⁻⁶ m
distance from q₂ to test point, we use Pythagoras' theerema
r² = x² + y²
r² = (5² + 10² )10⁻¹²
r² = 125 10⁻¹² m²
r = 11.18 10⁻⁶ m
we look for every electric field
E₁ = 9 10⁹ \(\frac{3 \ 10-6 }{(10 \ 10-6)^2 }\)
E₁ = 27 10¹³ N / C
E₂ = 9 10⁹ 5 10⁻⁶ / 125 10⁻¹²
E₂ = 3.6 10¹⁴ N / C
One of the easiest way to shorten the total field is by using the sum of the components of each field
E_{total} = Eₓ i ^ + E_y j ^
Eₓ = E₂ₓ
E_y = E₁ + E_{2y}
use trigonometry to find the direction of the E₂ field
tan θ = y / x
θ = tan⁻¹ \(\frac{y}{x}\)
θ = tan⁻¹ (10/5)
θ = 63.4º
cos 63.4 = \(\frac{E_{2x}}{E_2}\)
sin 63.4 = \(\frac{E_{2y}}{E_2}\)
E₂ₓ = E2 cos 63.4
E_{2y} = E2 sin 63.4
E₂ₓ = 3.6 10¹⁴ cos 63.4 = 1.61 10¹⁴ N / C
E_{2y} = 3.6 10¹⁴ sin 63.4 = 3.22 10¹⁴ N / C
The total field is the sum of the component of the electric field
Eₓ = E₂ₓ = 1.61 10¹⁴ N / C
E_y = E₁ + E_{2y} = 2.7 10¹⁴ + 3.22 10¹⁴
E_y = 5.92 10¹⁴ N / C
E = (1.61 i ^ + 5.92 j ^) 10¹⁴ N / C
c) the electric potential is a scalar quantity given by
V = k ∑ \(\frac{q_i}{r}\)
for this case
V = k ( \(\frac{q_1}{y} + \frac{q_2}{r}\))
V = 9 10⁹ ( \(\frac{3}{10} - \frac{5}{11.18 }\) )
V = 9 10⁹ (0.3 - 0.447)
V = - 1.3 10⁹ V
d) The electric force is given by the relation
F = q₀ E
where F is the force, qo the test charge and E the total electric field
Let's find the modulus and direction of the electric field using the Pythagorean theorem
E = \(\sqrt{E_x^2 +E_y^2 }\)
E = \(\sqrt{1.61^2 + 5.92^2 }\) 10¹⁴
E = 6.135 10¹⁴ N / c
the direction is found with trigonometry
tan θ = \(\frac{E_y}{E_x}\)
θ = tan⁻¹ \(\frac{E_y}{E_x}\)
θ = tan⁻¹ \(\frac{1.61}{5.92}\)
θ = 15.2º
the force is
F = 2 10⁻⁶ 6.135 10¹⁴
F = 1.23 10⁹ N
this force has the same direction of the electric field θ = 15,2º measured counterclockwise from the x axis
In conclusion with the concept of vector electric field, the potential electric as a scalar we can find the total electro field, the electric potential and the force on a charge at a given point, the answers are
b) E = (1.61 i ^ + 5.92 j ^) 10¹⁴
E = 6.135 10¹⁴ N /C, θ = 15.2º
c) V = - 1.3 10⁹ V
d) F = 1.23 10⁹ N, θ = 15.2º
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Related Questions
the velosity of a particle moving along the x axis varies according to the expression Vx=40-5t2 whereVx is metre per second and t is in seconds the average accelaration in the time interval t=0 to t=2s is
Answers
9514 1404 393
Answer:
-10 m/s²
Explanation:
The acceleration is the rate of change of velocity. The average rate of change of velocity will be the difference over the interval, divided by the width of the interval.
(V(2) -V(0))/(2 -0) = (40 -5(2²)) -(40 -5(0²)) = (20 -40)/2 = -10 . . . m/s²
The average acceleration on [0, 2] is -10 m/s².
_____
Additional comment
The average rate of change of a quadratic function on an interval is exactly equal to the derivative of the function at the midpoint of the interval:
Vx'(t) = -10t ⇒ Vx'(1) = -10 . . . m/s² (midpoint of [0, 2] is t=1)
Pls tell me
Question: 1 way to keep people safe from hurricane.
Answers
Answer:
Hurricanes move fast so what you want to do is get into a basement or somthing underground so it will be harder for the hurricane to hit you
Explanation:
thanks for the coins
consider the following observations. classify each observation based on whether it is a real observation (a true statement of something we can actually see from earth) or one that is not real (a statement of something that does not really occur as seen from earth). view available hint(s)for part a
Answers
Real: True statements
Mercury undergoes a complete cycle of phases.Daily moon rises in the east and sets in the west.Stars circle daily around north or south celestial poleEach year, neighbouring stars' positions gradually oscillate back and forth.A distance galaxy rises in east, sets in west each dayNot real: False statements:
We sometimes see a crescent JupiterBeyond Saturn, a planet rises in the west and sets in the eastEarth observation is the gathering of information on the physical, chemical, and biological processes occurring on planet Earth using remote sensing technology, often via satellites carrying imaging equipment. Earth observation is used to monitor and assess environmental changes, both natural and man-made, as well as their state.
Seismic and Global Positioning System (GPS) stations, as well as floatable buoys for monitoring ocean currents, temperature, and salinity, are some of the techniques used today for Earth observation. Air quality and rainfall patterns are also recorded by land-based stations. Space-based technologies provide repeatable datasets that provide a unique opportunity to gather data about the world when combined with appropriate technique development and analysis.
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Following question may be like this:
Consider the following observations. Classify each observation based on whether it is a real observation (a true statement of something we can actually see from Earth) or one that is not real (a statement of something that does not really occur as seen from Earth).
- Mercury goes through a full cycle of phases
- Moon rises in east, sets in west each day
- stars circle daily around north or south celestial pole
- positions of nearby stars shift slightly back and forth each year
- a distance galaxy rises in east, sets in west each day
- we sometimes see a crescent Jupiter
- a planet beyond Saturn rises in west, sets in east
What causes coastal erosion
Answers
La erosión costera es la pérdida o desplazamiento de tierra, o la remoción a largo plazo de sedimentos y rocas a lo largo de la costa debido a la acción de olas, corrientes, mareas, agua impulsada por el viento, hielo transportado por el agua u otros impactos de marejadas ciclónicas.
If you were in a spaceship and launched a cannonball into frictionless space, how
much force would have to be exerted on the ball to keep it going?
a. none
b. a lot
c. same amount needed to launch the cannonball
Answers
According to Newton's first law of motion, none force is to be exerted on the ball to keep it going.
What is Newton's first law of motion?The three fundamental laws of classical mechanics known as Newton's laws of motion describe how an object's motion and the forces acting on it interact. The following is a paraphrasing of these laws:
Unless a force acts upon a body, it remains at rest or in continual straight-line motion.
When a force acts on a body, the force is equal to the time rate at which the body's momentum changes.
When two bodies exert force on one another, the direction and amount of the force are opposed.
It is given that a cannonball is launched in frictionless space from a spaceship. Once the ball is launched into space, it cannot be slowed down by drag. Following Newton's first rule of motion, the cannonball would simply continue moving at the same speed until it collided with another object.
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Consider the situation illustrated in the figure below. If θ = 35° and the masses of blocks B and A are, respectively, Mb and Ma= 0.4Mb, (a) what should be the minimum value of the static coefficient of friction μs between the table and block B so that the system remains in balance? (b) In this case, what will be the tension in the rope segment connected to (node) and the vertical wall?
Answers
Answer:
(a) μ ≈ 0.57
(b) not enough information
Explanation:
Draw a free body diagram.
There are four forces acting on block B:
Weight force Mb g pulling downNormal force N pushing upFriction force Nμ pulling leftTension force T₁ pulling rightThere are three forces acting on the node:
Tension force T₁ pulling leftTension force T₂ pulling 35° above the horizontalWeight force Ma g pulling down(a)
Sum of forces on block B in the y direction:
∑F = ma
N − Mb g = 0
N = Mb g
Sum of forces on block B in the x direction:
∑F = ma
T₁ − Nμ = 0
T₁ = Nμ
T₁ = Mb g μ
Sum of forces on the node in the y direction:
∑F = ma
T₂ sin 35° − Ma g = 0
T₂ sin 35° = Ma g
Sum of forces on the node in the x direction:
∑F = ma
T₂ cos 35° − T₁ = 0
T₂ cos 35° = T₁
T₂ cos 35° = Mb g μ
Divide the previous equation by this equation, eliminating T₂.
tan 35° = Ma g / (Mb g μ)
μ = Ma / (Mb tan 35°)
μ = 0.4 / tan 35°
μ ≈ 0.57
(b) T₂ sin 35° = Ma g = 0.4 Mb g
Without knowing the value of Mb, we cannot find the value of the tension force T₂.
Please help me asap with all I’ll mark you brainly
Answers
The point that represents maximum potential energy is W.
The point that represents potential energy at 0 joules is Z.
The point that represents potential energy at 50 percent is Y.
The point that represents maximum kinetic energy is X.
Potential energy is the energy held through an object because of its function relative to other items, stresses inside itself, its electric-powered fee, or different elements. potential energy is energy this is saved – or conserved - in an object or substance. This saved energy is based totally on the position, arrangement, or state of the object or substance.
Potential energy refers to the stored energy within an object that exists because of the item's role, country, or arrangement. Potential energy is the strength this is stored in an item because of its function relative to some 0 roles. An item possesses gravitational capability strength if it is located at a top above (or beneath) the zero top.
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Is the following hypothesis scientific? Why? "Intelligent life exists on other planets
somewhere in the universe."
Answers
Answer:
yes
Explanation:
The hypothesis is scientific because there is no solid evidence to draw out the theory. Therefore the idea of other intelligence on other planets is scientific until found unworthy or scientifically proven wrong enough. Hope this helps a little:)
The rainbow of visible colors in the electromagnetic spectrum varies continuously from the longest wavelengths (the reddest colors) to the shortest wavelengths (the deepest violet colors) our eyes can detect. Wavelengths near 655 nm are perceived as red. Those near 515 nm are green and those near 475 nm are blue. Calculate the frequency of light (in Hz) with a wavelength of 655 nm, 515 nm, and 475 nm.
HINT
(a)
655 nm
Hz
(b)
515 nm
Hz
(c)
475 nm
Hz
Answers
Answer:
The frequency of light can be calculated using the formula:
`c = λv`
Where `c` is the speed of light in a vacuum, `λ` is the wavelength of light, and `v` is the frequency of light.
The speed of light in a vacuum is `3.00 × 10^8 m/s`.
To convert the wavelength from nanometers to meters, we need to divide by `1 × 10^9`.
Thus, the frequency of light with a wavelength of 655 nm is:
`v = c/λ`
`v = (3.00 × 10^8 m/s)/(655 × 10^-9 m)`
`v = 4.58 × 10^14 Hz`
Therefore, the frequency of light with a wavelength of 655 nm is `4.58 × 10^14 Hz`.
Similarly, the frequency of light with a wavelength of 515 nm is:
`v = c/λ`
`v = (3.00 × 10^8 m/s)/(515 × 10^-9 m)`
`v = 5.83 × 10^14 Hz`
Therefore, the frequency of light with a wavelength of 515 nm is `5.83 × 10^14 Hz`.
Finally, the frequency of light with a wavelength of 475 nm is:
`v = c/λ`
`v = (3.00 × 10^8 m/s)/(475 × 10^-9 m)`
`v = 6.32 × 10^14 Hz`
Therefore, the frequency of light with a wavelength of 475 nm is `6.32 × 10^14 Hz`.
So, the frequency of light with a wavelength of 655 nm is `4.58 × 10^14 Hz`, the frequency of light with a wavelength of 515 nm is `5.83 × 10^14 Hz` and the frequency of light with a wavelength of 475 nm is `6.32 × 10^14 Hz`.
What is the rotational speed of the hour hand on a clock?
Answers
Answer:
π/21600 rad /s.
What are 2 conditions you need for air mass formation?; What are the 3 required characteristics of air masses?; What are the two moisture properties used for air mass classification?; What are the 4 characteristics of air masses?
Answers
Air masses form over large surfaces with uniform temperatures and humidity, called source regions
Air Masses: It is defined as a large volume of air in the atmosphere which contains mostly uniform temperature and moisture.
Air masses are classified according to the temperature and moisture characteristics of their source regions.
It has nearly uniform conditions of temperature and humidity at any given level of altitude.When winds move air masses, they carry their weather conditions from the source region to a new region.Maritime air masses form over the water and are humid. Continental air masses form over land and are dry.To know more about Air Masses:
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What causes Ep to be converted to Ek? (giving brainliest to right anwser)
Answers
Answer:
Energy is a quantity that can be verticality from one to another,
sum of all the energy of the system remains constant if there is no friction force.
Explanation:
The potential energy of a system is a configuration energy, that is, for a given position the energy has a value with respect to a reference point.
Kinetic energy is an energy related to the movement of bodies, that is, a body must have a speed to have kinetic energy.
Energy is a quantity that can be verticality from one to another, the gravitational potential that a body has at a given height when the body is released accelerates by action of gravity, in this case the potential energy decreases and the scientific energy increases, It is appropriate to clarify that the sum of all the energy of the system remains constant if there is no friction force.
what is the potential energy the greatest in a roller coaster
Answers
Answer:
Gravitational potential energy is the greatest
Explanation
It is the highest point of a roller coaster.
"n 25 kg object is moving at a velocity or 10 ml. the obec has energy. Calculate it.
Answers
The energy of 25 kg object is moving at a velocity or 10 ml is 1250J.
What does a 25 kilogram object travelling at 10 m/s kinetic energy look like?KE = 1/2mv²
The mass is m = 25kg
The velocity is v = 10ms⁻¹
KE = 1/2 × 25 × 10²
⇒ KE = 1250J
Hence, Kinetic energy is 1250J
What is Kinetic energy?The energy an object has as a result of motion is known as kinetic energy. A force must be applied to an object in order to accelerate it. We must put in effort in order to apply a force. After the work is finished, energy is transferred to the item, which then moves at a new, constant speed.
What is velocity?The direction of a body or object's movement is defined by its velocity. In its basic form, speed is a scalar quantity. In essence, velocity is a vector quantity. It is the speed at which distance changes. It is the displacement change rate.
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The following table shows the distance from the sun of some unknown planets of equal mass.
Distance from Sun
Planet Distance from Sun
W 1.5 AU
X 0.723 AU
Which of the following best explains which planet revolves at a faster speed?
Planet X, because the sun pulls it with a greater force
Planet W, because the sun pulls it with a greater force
Planet W, because the gravitational force is weakened by distance
Planet X, because the gravitational force is strengthened by distance
(D was wrong, I'm taking the test again)
Answers
The correct answer is : Planet X, because the sun pulls it with a greater force
The speed at which a planet revolves around the sun is determined by its distance from the sun and the gravitational force between the planet and the sun. The closer a planet is to the sun, the stronger the gravitational force, and the faster it will orbit. Therefore, Planet X, which is closer to the sun than Planet W, will revolve around the sun at a faster speed, assuming that both planets have equal masses. Thus, the correct answer is "Planet X, because the gravitational force is strengthened by distance." The farther a planet is from the sun, the weaker the gravitational force, but this would result in a slower orbital speed, not a faster one.To know more about planets visit:
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Answer: A A A !!!!
Explanation: just did the test, got it right thx thx!!!
The hour hand on a certain clock is 8.1 cm long.
Find the tangential speed of the tip of this hand.
Answers
The tangential speed of the tip of the hour hand is 4.05 cm/minute.
What is Tangential speed?
Tangential speed, also known as linear speed, is the speed at which an object travels along a circular path. It is defined as the distance traveled per unit of time along an arc or circular path, with the direction of motion tangential to the circle. Tangential speed is dependent on the radius of the circular path and the angular speed, which is the rate at which the object rotates around the center of the circle.
The tangential speed of the tip of the hand is given by:
v = rω
where r is the length of the hour hand and ω is the angular velocity of the hand.
To find ω, we need to convert the time elapsed to an angle. The hour hand completes one revolution (360 degrees) in 12 hours, or 720 minutes. Therefore, the angle swept out by the hour hand in one minute is:
θ = 360 degrees / 720 minutes = 0.5 degrees/minute
At any given time, the angle swept out by the hour hand is proportional to the elapsed time since the last hour mark. If t is the time elapsed in minutes since the last hour mark, then the angle swept out is:
θ = 0.5 degrees/minute * t
Since the hour hand is 8.1 cm long, its tangential speed is:
v = rω = r(dθ/dt)
Substituting for θ, we get:
v = 8.1 cm * (0.5 degrees/minute) = 4.05 cm/minute
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The force required to pull the cork out of the top of a wine bottle is in the range of 220 to 380 N . What range of forces F is required to open a wine bottle with the bottle opener shown in (Figure 1)
Answers
The ranges of forces required to open a wine bottle with bottle opener as per shown in the figure is 25.1 N to 45.57 N
What is Force?In physics, a strain is an effect with the ability to alter the velocity of an object. A force can influence a surplus object's velocity to alter or rise. To describe force, a pushing or a pulling makes intuitive sense. Forces have both size and direction, since they are vector quantities. It is measured in newtons using the SI system (N). The symbol for force is the letter F.
Balancing moment (r x F) about left end:
Net torque = (9 mm x F(cork) - ((9 + 70) F) = 0
F = ( 9 / 79) F(cork)
F = 0.114 F(cork)
Range of F(cork) = 220 N to 400 N
F = [0.114(220) to 0.114(400)] = 25.1 N to 45.57 N
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Find the terminal velocity of a sphere that has a mass of 600g and a radius of 30cm. Take the density of air 1.2 kg/m^3 . Report the speed in mph.
Answers
The terminal velocity of the sphere is approximately 22.68 mph.
The terminal velocity of a sphere is the constant speed at which the gravitational force pulling the sphere down is balanced by the drag force pushing the sphere up. The drag force is proportional to the velocity of the sphere, and can be calculated using the following formula:
Fd = (1/2) * rho * Cd * A * v²
where Fd is the drag force, rho is the density of the fluid (air in this case), Cd is the drag coefficient (which depends on the shape of the object), A is the cross-sectional area of the object perpendicular to the direction of motion, and v is the velocity of the object.
The gravitational force pulling the sphere down is given by:
Fg = m * g
where m is the mass of the sphere and g is the acceleration due to gravity.
At terminal velocity, the drag force is equal in magnitude to the gravitational force, so:
Fd = Fg
Substituting the expressions for Fd and Fg and solving for v, we get:
v = √((2 * m * g) / (rho * Cd * A))
where A = pi * r² is the cross-sectional area of the sphere, and r is the radius of the sphere.
Plugging in the given values, we get:
v = sqrt((2 * 0.6 * 9.81) / (1.2 * 0.47 * pi * 0.3²)) ≈ 10.13 m/s
To convert this to mph, we multiply by 2.23694:
v ≈ 22.68 mph
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How are the ice cubes and water similar?
How are they different?
Answers
Answer:
As the liquid cools down, the amount of potential energy is reduced and the molecules start to move slower. When the water temperature reaches around 0°C, the molecules stick together and form a solid – ice
The "stuff" (molecules) in water is more tightly packed than in ice, so water has greater density than ice. Don't let the fact that ice is a solid fool you! As water freezes it expands. So, ice has more volume (it takes up more space, but has less density) than water
Explanation:
Answer:
They are both made of H2O.
Explanation:
They have the same chemical formula and are made of the same thing, however, they are in different physical states with different densities. Ice is lighter than water therefore it floats on water.
1.How are elements arranged on the periodic table in terms of valence electrons?
2. Show some evidence using data tables
3. Explain how the evidence supports your claim. Explain how the evidence from your data table shows the trends for valence electrons for both groups and periods on the periodic table.
Answers
Elements are arranged on the periodic table in terms of valence electrons based on their atomic number and electron configuration.
1. Elements are arranged on the periodic table in terms of valence electrons based on their atomic number and electron configuration. The valence electrons are the outermost electrons in an atom's electron shell, and they are crucial in determining the chemical properties and reactivity of elements.
2. Evidence from data tables can be shown by examining the electron configuration and the group and period numbers of various elements on the periodic table. Here is a simplified example:
Element | Electron Configuration | Group | Period |
--------------------------------------------
Hydrogen | 1s^1 | 1 | 1 |
Lithium | [He] 2s^1 | 1 | 2 |
Carbon | [He] 2s^2 2p^2 | 14 | 2 |
Oxygen | [He] 2s^2 2p^4 | 16 | 2 |
Neon | [He] 2s^2 2p^6 | 18 | 2 |
--------------------------------------------
3. The evidence from the data table supports the claim that the arrangement of elements on the periodic table is based on valence electrons.
- Group Trend: Elements within the same group (vertical columns) share the same number of valence electrons. In the example table, Hydrogen, Lithium, and Neon are all in Group 1, indicating they have 1 valence electron.
- Period Trend: Elements within the same period (horizontal rows) have the same number of electron shells. In the example table, Hydrogen and Lithium are in Period 1, indicating they have their valence electron in the first energy level. Carbon, Oxygen, and Neon are in Period 2, indicating they have their valence electrons in the second energy level.
By examining the electron configurations, group numbers, and period numbers, we can clearly see the trends and patterns in the number of valence electrons for both groups and periods on the periodic table. This evidence supports the claim that the arrangement of elements on the periodic table is based on their valence electrons, which play a crucial role in determining their chemical behavior and properties.
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14. If you are asked to analyze an issue for an essay assignment, what should you do? a. Nb. C. Divide the issue into its main parts and discuss each part. Express your opinion about the issue. Explain what you think the issue means and how you came to that interpretation Describe the main ideas or points about the issue. d.
Answers
Answer:
Option C
Explanation:
Divide the issue into its main parts and discuss each part.
The radius of the circular path of an ion in a mass spectrometer is given by r=1/B √2Vaccelm/q. Use this equation to explain how a mass spectrometer is able to separate ions of different masses.
Answers
The mass spectrometer separates ions of different masses by utilizing the relationship between the strength of the magnetic field, the accelerating voltage, the charge-to-mass ratio of the ions, and the resulting radius of the circular path
What is the mass spectrometer?From the formula in the question;
B is a symbol for the magnetic field's intensity as it is applied to the mass spectrometer.
The accelerating voltage used to move the ions is called Vaccelm.
The charge of the ion, specifically its charge-to-mass ratio (q/m), is represented by the letter q.
The mass spectrometer may selectively alter the radius of the circular route for various ions by varying the magnetic field's intensity (B). This makes it possible to spatially segregate ions with various masses based on their various radii. The ions' locations and masses can then be measured using detectors placed along the journey.
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A cylinder within a piston expands from a volume of 1.00 L to a volume of 2.00 L against an external pressure of 1.00 atm. How much work (in Joule) was done by the expansion?
Answers
Answer:
1.671L
Explanation:
In the given case the pressure is constant therefore it is an isobaric process, the process in which the pressure remains constant is called as isobaric process.
Work done= external pressure× change in volume.
288= 2×( final volume-intial volume)×101.32
144÷101.32=(finalvolume-0.250)
1.421=final volume-0.250
final volume=1.671L
1) The equilibrium constant Kc for the reaction N 2(g) + O 2(g) 2NO(g) at 1200 C is 1.00x 10^-5. Calculate the molar concentration of NO, N2 and O2 in equilibrium at 1200 C in a 1.00L container that initially had 0.114 mol of N2 and 0.114 mol of O2
2) A 2.0 mmol sample of Cl2 was closed inside a 2.0 L reaction vessel and heated to 1000k to study its dissociation into Cl atoms, Kc= 1.2x10^- 7 (a) Calculate the composition of the mixture in equilibrium. What is the percentage of decomposition of Cl2? (b) If 2.0 mmol of F2, Kc= 1.2x10^-4, is placed inside the container instead of chlorine, what will be its equilibrium composition at 1000k? Use your results from (a) and (b) to determine which is the most stable with respect to your atoms, Cl2 or F2, at 1000k
Answers
Explanation:
1) N₂ + O₂ → 2 NO
Kc = [NO]² / ([N₂] [O₂])
Set up an ICE table:
\(\left[\begin{array}{cccc}&Initial&Change&Equilibrium\\N_{2}&0.114&-x&0.114-x\\O_{2}&0.114&-x&0.114-x\\NO&0&+2x&2x\end{array}\right]\)
Plug into the equilibrium equation and solve for x.
1.00×10⁻⁵ = (2x)² / ((0.114 − x) (0.114 − x))
1.00×10⁻⁵ = (2x)² / (0.114 − x)²
√(1.00×10⁻⁵) = 2x / (0.114 − x)
0.00316 = 2x / (0.114 − x)
0.00361 − 0.00316x = 2x
0.00361 = 2.00316x
x = 0.00018
The volume is 1.00 L, so the concentrations at equilibrium are:
[N₂] = 0.114 − x = 0.11382
[O₂] = 0.114 − x = 0.11382
[NO] = 2x = 0.00036
2(a) Cl₂ → 2 Cl
Kc = [Cl]² / [Cl₂]
\(\left[\begin{array}{cccc}&Initial&Change&Equilibrium\\Cl_{2}&2.0&-x&2.0-x\\Cl&0&+2x&2x\end{array}\right]\)
1.2×10⁻⁷ = (2x)² / (2 − x)
1.2×10⁻⁷ (2 − x) = 4x²
2.4×10⁻⁷ − 1.2×10⁻⁷ x = 4x²
2.4×10⁻⁷ ≈ 4x²
x² ≈ 6×10⁻⁸
x ≈ 0.000245
2x ≈ 0.00049
2(b) F₂ → 2 F
Kc = [F]² / [F₂]
\(\left[\begin{array}{cccc}&Initial&Change&Equilibrium\\F_{2}&2.0&-x&2.0-x\\F&0&+2x&2x\end{array}\right]\)
1.2×10⁻⁴ = (2x)² / (2 − x)
1.2×10⁻⁴ (2 − x) = 4x²
2.4×10⁻⁴ − 1.2×10⁻⁴ x = 4x²
2.4×10⁻⁴ ≈ 4x²
x² ≈ 6×10⁻⁵
x ≈ 0.00775
2x ≈ 0.0155
F₂ dissociates more, so Cl₂ is more stable at 1000 K.
1. How is a whistling teapot like a volcano?
Answers
Now think of that same spot being closed, it only has one place to go but it can’t leave, so that pressure will build and build and then BOOM, it explodes.
In short, the answer is the pressure being released from a small point, and how that energy is released.
Answer:
It isn't exactly known what causes the harmonic tremor or small earthquakes, but Hotovec-Ellis' belief is that they are caused by magma being forced through narrow channels in the Earth sticking to rock surfaces along the way. When it sticks, it takes a buildup of pressure to push it along further.
find the power of a lift that transfers 450 J of energy in 15 seconds.
Answers
Answer: P=30W
Explanation:
formula is p=w/t
p = power
w = work
t = elapsed time
input variables, solve then simplify.
The power of a lift that transfers 450 J of energy in 15 seconds is 30 watts.
Power is defined as the rate of doing work, i.e. the amount of work done per unit time.
Mathematically, it can be represented as follows:
Power = Work done / time taken
Therefore, the power of a lift that transfers 450 J of energy in 15 seconds can be calculated as follows:
Power = Work done / time taken= 450 J / 15 s= 30 W
Therefore, the power of the lift is 30 watts.
To explain further, we know that power is measured in watts (W), and it is the rate at which work is done or energy is transferred.
Here, we are given that the lift transfers 450 J of energy in 15 seconds.
We can find the power of the lift by dividing the amount of work done by the time taken to do it. By substituting the given values, we get the power of the lift as 30 W.
In simple terms, this means that the lift can transfer energy at a rate of 30 joules per second. This can also be interpreted as the lift can do 30 joules of work in one second.
Hence, we can conclude that the power of the lift is 30 watts.
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What part of the sweating process promotes cooling?
wiping sweat from the surface of the skin
condensation of liquid sweat on the skin
liquid (sweat) sitting on the skin’s surface
evaporation of liquid sweat from the skin
Answers
Answer: Condensation of liquid sweat on the skin
Explanation:
The Splash Mountain flume ride at Walt Disney World's Magic Kingdom in Orlando, Florida boasts one of the steepest flume rides in the world. The boats plunge 52 feet down a 43-degree incline near the final stage of the ride. Assuming a coefficient of friction of 0.12, determine the acceleration of the boat and riders. Answer: ___________ m/s^2
Answers
ANSWER:
5.82 m/s²
STEP-BY-STEP EXPLANATION:
In order to solve the question we make a free body diagram of the situation, like this:
We make the vertical and horizontal force balances, just like this:
\(\begin{gathered} \text{Vertical} \\ \\ N-mg\cdot\cos43\degree=0 \\ \\ N=mg\cdot\cos43\degree \\ \\ \text{Horizontal} \\ \\ mg\cdot\sin43\degree-F=ma \end{gathered}\)With these balances we can calculate the value of the acceleration, like this:
\(\begin{gathered} \text{ Given:} \\ \\ F=\mu N\leftarrow F=\mu(mg\cdot\cos43\degree) \\ \\ \text{ We replacing} \\ \\ mg\sin(43)\operatorname{\degree}-\mu(mg\cdot\cos43\degree)=ma \\ \\ g\sin43\degree-\mu g\cdot\cos43\degree=a \\ \\ a=g(\sin43\degree-\mu\cos43\degree) \\ \\ \text{ We substitute each value to determine the acceleration:} \\ \\ a=9.8(0.682-0.12\cdot0.731) \\ \\ a=5.82\text{ m/s}^2 \end{gathered}\)The acceleration of the boat and riders is 5.82 m/s²
2. A crane can lift a 500 kg mass to height of 30 m in 2 minutes. The power at which the crane is operating is
A. 125 Watts
B. 1225 Watts
C.) 7500 Watts
D. 73500 W
Answers
The power at which the crane operates, if it can lift a mass of 500 kg is 1225 Watts.
What is power?Power is the rate at which work is done.
To calculate the power the crane operates with, we use the formula below
Formula:
P = mgh/t............................... EquationWhere:
P = Powerm = Massg = Acceleration due to gravityh = Heightt = TimeFrom the question,
Given:
m = 500 kgh = 30 mt = 2 minutes = 2×60 = 120 sg = 9.8 m/s²Substitute these values into equation 1
P = (500×30×9.8)/120P = 1225 WHence, the right option is B. 1225 Watts.
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current is moving through a copper ribbon in the direction shown. the ribbon is suspended between the poles of a magnet as indicated. when the voltage is measured between a and b, it is observed that a is at higher potential than b. which of the following explains this observation?
Answers
The option that explains this observation is option E:
The electric field in the ribbon is distorted by the magnetic field. This distortion creates an electric field component directed from point A to point B that deflects electrons in the ribbon toward point B.Which way will the electron be deflected by the electric field?The physical field that surrounds electrically charged particles and exerts force on all other charged particles in the field, either attracting or repelling them, is known as an electric field (or E-field). It can also refer to a system of charged particles' physical field.
Negatively charged electrons will be diverted in the direction of the positive electrode, or (+) plate. Positively charged protons will be diverted in the direction of the negative electrode, or (-) plate.
Therefore, Magnetic lines of force in space are bent by ferromagnetic materials in a static magnetic field. The distortion impact on the static magnetic field is disturbed by the material flaws.
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See full question below
Current Current is moving through a copper ribbon in the direction shown. The ribbon is suspended between the poles of a magnet as indicated. When the voltage is measured between A and B, it is observed that A is at higher potential than B. Which of the following explains this observation?
A The electrons in the ribbon behave like magnetic dipoles; thus, they align with the magnetic field of the magnet that deflects electrons in the ribbon toward point A.
B The electrons in the ribbon behave like magnetic dipoles; thus, they align with the magnetic field of the magnet that deflects electrons in the ribbon toward point B.
с Electrons moving through the magnetic field experience a magnetic force to the left that deflects electrons in the ribbon toward point A.
D Electrons moving through the magnetic field experience a magnetic force to the right that deflects electrons in the ribbon toward point B.
E The electric field in the ribbon is distorted by the magnetic field. This distortion creates an electric field component directed from point A to point B that deflects electrons in the ribbon toward point B.
