The dry and wet adiabatic rates Leeward.
Clouds form when warm air masses which are less dense than cold air masses, rise. The jet stream plays an important role in locating mid-latitude cyclones. The jet stream brings cold air to the northern and southern regions of the United States. A front separates these two air masses.
A front is a boundary separating air masses of different densities, one warmer and often wetter than the other. A warm front occurs when the surface of the front shifts so that warm air occupies an area previously covered by cold air. Endothermic processes absorb heat and cool the surroundings.
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a red ball, initially at rest, is simultaneously hit by a blue ball traveling from west to east at 3 m/s and a green ball traveling east to west at 3 m/s . all three balls have equal mass. afterward, the red ball is traveling south and the green ball is moving to the east.
The red ball is traveling south and the green ball is moving to the east, they both form an angle of 45°
Using the law of conservation of momentum
Pf= Pi
m[Vrf+Vgf+Vbf ]=m[Vri+Vgi+Vbi] ……………………………………..Vectorial
Along the x-axis (horizontal),
m[Vrfx+Vgfx+Vbfx ]=m[Vrix+Vgix+Vbix]
[Vrfx+Vgfx+Vbfx ]=[Vrix+Vgix+Vbix]
0+ 5+ Vbfx = 0-5+5
Vbfx = - 5m/s-------------------(1)
Along the y-axis (vertically),
m[Vrfy+Vgfy+Vbfy ]=m[Vriy+Vgiy+Vbiy]
[Vrfy+Vgfy+Vbfy ]=[Vriy+Vgiy+Vbiy]
-5+0+ Vbfy = 0+0+0
Vbfy = 5m/s ……………………(2)
q= tan^-1(Vbfy/Vbfx) = tan^-1(-5/5) = 45°
Mass is the quantity depending on a physical frame. it is also a measure of the frame's inertia, the resistance to acceleration whilst a net pressure is carried out. An object's mass also determines the electricity of its gravitational enchantment to different our bodies.
Mass in movement is a statewide motion that promotes possibilities for healthful eating and lively living inside the locations people stay, analyze, work and play.
Mass spectrometry is an analytical device useful for measuring the mass-to-rate ratio (m/z) of 1 or more molecules found in a pattern.
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child of mass 20 kg is located 2.5 m from the fulcrum or pivot point of a seesaw. where must a child of mass 30 kg sit on the seesaw in order to provide balance?
The little one needs to be seated 1.8 meters away from the pivot point in order to stay balanced.
What is meant by mass?The amount of matter that makes up any object or body is best referred to as its mass. All of the objects we see have mass. There is mass in objects like tables, chairs, beds, footballs, glasses, and even air. As a result, every object has a mass, which determines whether it is light or heavy. An object's mass, or how much matter it contains, can be measured as an indicator of its inertial property. The force of gravity or the force necessary to support an object is measured by its weight. Effectively, it is the resistance a body of matter offers to a change in its speed or position as a result of the application of a force.Let the first child be A.
Let the second child be B.
Given the following data:
Mass of A = 20.0 kg
Mass of B = 30.0 kg
Distance = 3.00 m
We'd take a moment to think about a pivot to figure out how far the young child needs to be from the pivot point in order to keep their balance:
Let n be the distance to the pivot.
The child's separation from the pivot is equal to 3 - n.
Counterclockwise moment equals clockwise moment
30(3 - n) = 20 n
90 - 30 n = 20 n
90 = 20 + 30 n
90 = 50 n
n = 90/ 50
n = 1.8 meters
Therefore, The little one needs to be seated 1.8 meters away from the pivot point in order to stay balanced.
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What is the order of frequency from lowest to highest?.
The order of frequency from lowest to highest will be Gamma rays X-rays , ultraviolet radiation , visible light , infrared radiation and radio waves
Order of frequency from lowest to highest from lowest to highest of EM spectrum will be :
Gamma rays
X-rays
ultraviolet radiation
visible light
infrared radiation
and radio waves
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how much work is required to move it at constant speed 5.0 m along the floor against a friction force of 270 n .
Work required to move it at constant speed 5.0 m along the floor against a friction force of 270 N is 1350 Joule.
An object placed on rough surface will have friction force. There's 2 friction force which is static friction force and dynamic friction force. In this case, the object is moving, the friction force happened in the system is dynamic friction force.
The information we got on the question, the object has 270 N friction force. And the object moved at constant speed with 5.0 m in distance. While the work are determined by multiplying force with distance, in this case the force is dynamic friction force. Then, work can be calculated by:
W = f x s
Where,
W = Work, J
f = friction force, N
s = distance, m
W = 270 x 5.0
W = 1350 J
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We talked about the robustness of Logistic Regression with respect to the distribution assumptions of features given the class labels. In this problem, we will consider two distributions from the exponential family and verify that they lead to a logistic posterior distribution:h θ (x)=P(y=1∣x;θ)=g(θ T x)= 1+e −θ T x 1 .- Let,x∣y=1∼Poisson(λ 1 )and x∣y=0∼Poisson(λ 0). Show thatp(y=1∣x)is logistic. - Let,x∣y=1∼N(μ 1 ,σ 1 )andx∣y=0∼N(μ 0,σ 0). Show thatp(y=1∣x)is logistic. For both the above cases, you can assume that the two classes are equally likely to occur, i.e.,p(y=1)=p(y=0)andx is a real number (i.e., you have a one-dimensional feature).
For the first case, where x∣y=1∼Poisson(λ 1 ) and x∣y=0∼Poisson(λ 0 ), the likelihood of x given y=1 is:
p(x∣y=1) = (λ 1^x) * (e^-λ 1) / x!
And the likelihood of x given y=0 is:
p(x∣y=0) = (λ 0^x) * (e^-λ 0) / x!
Since the two classes are equally likely to occur, we can write the posterior probability of y=1 given x as:
p(y=1∣x) = p(x∣y=1) / (p(x∣y=1) + p(x∣y=0))
Substituting the expressions for the likelihoods of x given y=1 and y=0, we get:
p(y=1∣x) = ((λ 1^x) * (e^-λ 1) / x!) / (((λ 1^x) * (e^-λ 1) / x!) + ((λ 0^x) * (e^-λ 0) / x!))
Simplifying this expression, we get:
p(y=1∣x) = (λ 1^x) * (e^-λ 1) / (((λ 1^x) * (e^-λ 1) + (λ 0^x) * (e^-λ 0))
This expression can be written in the form of the logistic function:
p(y=1∣x) = 1 / (1 + ((λ 0^x) * (e^-λ 0) / ((λ 1^x) * (e^-λ 1))
Thus, the posterior probability of y=1 given x is logistic.
For the second case, where x∣y=1∼N(μ 1 ,σ 1 ) and x∣y=0∼N(μ 0,σ 0 ), the likelihood of x given y=1 is:
p(x∣y=1) = (1 / (sqrt(2π) * σ 1)) * e^-((x-μ 1)^2 / 2σ 1^2)
And the likelihood of x given y=0 is:
p(x∣y=0) = (1 / (sqrt(2π) * σ 0)) * e^-((x-μ 0)^2 / 2σ 0^2)
Since the two classes are equally likely to occur, we can write the posterior probability of y=1 given x as:
p(y=1∣x) = p(x∣y=1) / (p(x∣y=1) + p(x∣y=0))
Substituting the expressions for the likelihoods of x given y=1 and y=0, we get:
p(y=1∣x) = ((1 / (sqrt(2π) * σ 1)) * e^-((x-μ 1)^2 / 2σ 1^2)) / (((1 / (sqrt(2π) * σ 1)) * e^-((x-μ 1)^2 / 2σ 1^2)) + ((1 / (sqrt(2π)
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What is a realistic fiction setting?.
Realistic fiction creates imaginary characters and conditions that depict our world and society.
It specializes in subject matters of developing and confronting private and social troubles. This style portrays characters coming to understand themselves and others.
The setting is an accurate portrayal of the arena as we know it. The placing ought to exist; it's miles a brilliant and correct depiction. It consists of believable testimonies as the author uses ordinary occurrences and/or excessive realism; the story isn't genuine but it can be.
Realistic Fiction is divided into two components: historic and cutting-edge fiction. historic fiction takes place in a time far off enough to be taken into consideration records, rather than present-day fiction which takes vicinity today or within the current beyond.
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solve your equations for the moment of inertia of the disk ring system as a function of the mass of the hanging weight, the acceleration of the hanging weight, and the radius of the wheel. start with the equation containing the quantity you want to know, the moment of inertia of the disk ring system. identify the unknowns in that equation and select equations for each of them from those you have collected. if those equations generate additional unknowns, search your collection for equations that contain them. continue this process until all unknowns are accounted for. now solve those equations for your target unknown.
MR² is the moment of inertia of the disk ring system.
The term "moment of inertia" refers to a physical quantity that quantifies a body's resistance to having its speed of rotation along an axis changed by the application of a torque (turning force). The axis might be internal or exterior, fixed or not. But the moment of inertia (I), which is always expressed in relation to that axis, is calculated by adding the results of multiplying each particle's mass by the square of its distance from the axis in a particular body. The moment of inertia is comparable to mass in linear momentum when calculating the angular momentum of a rigid body.
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What is high electronegativity?.
An atom's ability to draw the shared electrons of a covalent bond to itself is measured by its electronegativity. The shared electrons will be evenly distributed if the atoms that are bonded together have the same electronegativity. The electrons in a bond will not be distributed equally if one of the atoms is more electronegative and thus attracts more of the bond's electrons. The more electronegative atom will "take" the electrons if the difference in electronegativity is great enough, creating two ions and an ionic bond. Otherwise, the electrons will not be shared at all.
Think about a tug-of-war match. The rope stays in the middle if the two teams are of equal strength. The rope is pulled in the direction of the team with the advantage in strength. When one team is significantly stronger than the other, the weaker team is no longer able to hold onto the rope, and the entire rope ultimately ends up on the side of the stronger team. Chemical bonds can be compared to this. The electrons are shared equally if the electronegativity of the two bonding atoms is equal. The electrons of the bond are more drawn to an atom if it has a higher electronegative potential. The electrons won't be shared, leading to an ionic bond, if one atom is significantly more electronegative than the other atom.The scale of Pauling electronegativity is depicted in the periodic table below. Fluorine, the element with the highest electronegative charge, has a value of 4.0. As we can see, electronegativities typically increase from left to right across a period and decrease down a group.To understand about electronegativity-
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A train travel 14 econd at a velocity of -50 m/ from an initial poition of 700m. What i the final poition?
The final position of the train with a velocity of -50 m/s is 0.
What is velocity?
Velocity refers to the speed of an object or the measure of the rate of an object which is expressed as the rate of change of the position with time. It is a vector quantity and also the rate of change of displacement. There are different types such as, uniform velocity, average velocity, instantaneous velocity, variable velocity etc. The velocity of any object cannot be greater than its speed.
The final position of the train with velocity of -50 m/s can be calculated as,
-50 m/s x 14 s = -700 m per 14 s.
Initial position = +700 m.
Final position = 700 m + (-700m) = 0
Therefore, the final position of the train with a velocity of -50 m/s is 0.
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suppose you could float in space just a few meters above saturn's rings. what would you see as you looked down on the rings?
If you could float in space just a few meters above saturn's rings, as you looked down on the rings you would see countless icy specks, from small dust grains to large boulders.
Write a short note on the planet Saturn.
Saturn is the second-largest planet in our solar system and is located six planets from the Sun. Saturn is an enormous ball primarily composed of hydrogen and helium. There are other planets that have rings, but none are as beautiful or intricate as Saturn's. Numerous moons orbit Saturn.The Saturn system is a rich source of scientific discovery and still holds many mysteries, from the water jets that spray from Saturn's moon Enceladus to the methane lakes on smoggy Titan.Clouds that resemble faint stripes, jet streams, and storms cover Saturn. The planet has a wide range of yellow, brown, and gray hues.
The equatorial region experiences winds that can reach 1,600 feet per second (500 meters per second) in the high atmosphere. The highest hurricane-force winds on Earth, however, only reach a maximum speed of roughly 360 feet per second (110 meters per second). And because of the intense pressure, which is similar to that experienced while diving deep underwater, gas is compressed into liquid.
An intriguing atmospheric phenomenon on Saturn's north pole is a six-sided jet stream. The hexagon, a wavy jet stream with winds of 200 miles per hour (322 kilometers per hour), is around 20,000 miles (30,000 kilometers) broad and has a large rotating storm at the center.
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An element with a mass of 550 grams decays by 6. 5% per minute. To the nearest minute, how long will it be until there are 240 grams of the element remaining?.
Answer: 12
Explanation:
Answer:12
Explanation: Verified through 3rd party.
as the viewing screen is moved away from the double slit, what happens to the separation between the interference fringes on the screen? it increases. it decreases. it remains the same. it may increase or decrease, depending on the wavelength of the light. more information is required.
The separation between the interference fringes on the screen increases.
What is interference of light?When two coherent light waves from different sources collide, the energy distribution caused by the first wave is disturbed by the second. The term "interference of light" refers to this alteration in the distribution of light energy brought on by the superposition of two light waves.
The formula of the separation between the interference fringes in double slit experiment is: x = λD/d.
where,
λ = wavelength of light wave
D = separation between slits and the screen.
d = separation between two slits.
So, if the viewing screen is moved away from the double slit, the separation between the interference fringes on the screen increases.
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a force of 10 n holds an ideal spring with a 20-n/m spring constant in compression. the potential energy stored in the spring is:
The potential energy stored in the spring of force constant 20 N/m is 2.5 J.
What is potential energy?This is the energy of a body a virtue of its position.
To calculate the potential energy stored in the spring, we use the formula below.
Fromula:
P.E = F²/2K............. Equation 1Where:
P.E = Potential energy of the springK = Spring constantF = Force on the springFrom the question,
Given:
F = 10 NK = 20 N/mSubstitute these values into equation 1
P.E = 10²/(2×20)P.E = 2.5 JHence, the potential energy stored in the spring is 2.5 J.
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what is the heat current through the insulation, assuming it may be treated as a flat slab with an area of 1.40 m2 ?
In order to keep the temperature in the kitchen constant, 196 W of electric power must be supplied to the heating element, which is treated as a flat slab with an area of 1.40 m2.
How to calculate electric-power input to the heating element is required to maintain this temperature?Given to us,
Area of the flat slab, A = 1.40 m²,
The thickness of the fiberglass, d = 4 cm = 0.04 m,
Inside surface of the fiberglass [tex]T_{h}[/tex], = 175°C = 175°C + 273.15 = 448.15 K,
Outside surface of the fiberglass[tex]T_{i}[/tex], = 35°C = 35°C + 273.15 = 308.15 K,
Thermal conductivity of fiberglass, K = 0.040 W/(mK),
a.)
Conduction is the process by which heat energy is been transferred due to the collisions between atoms and molecules in solids. The heat transfer in conduction is written as,
Q/t = KA([tex]T_{h}[/tex] - [tex]T_{i}[/tex])/ d
Q/t = 0.040 × 1.40(448 .15 - 308 .15)/0.04
Q/t = 196 W
Therefore, the heat current through the insulation, treating it as a flat slab with an area of 1.40 m² is 196 W.
b.)
As the electric-power input to the heating element required to maintain the temperature in the kitchen is 196 W, because as the fiberglass is constantly losing heat, therefore to maintain the temperature we need to continuously provide that amount of heat to the kitchen for which the same amount of work will be required.
Thus, the electric-power input to the heating element required to maintain the temperature in the kitchen is 196 W.
Hence, the heat current through the insulation, treating it as a flat slab with an area of 1.40 m² is 196 W and the electric power input to the heating element required to maintain the temperature in the kitchen is also 196 W.
The complete question is : An electric kitchen range has a total wall area of 1.40 m2 and is insulated with a layer of fiberglass 4.0 cm thick. The inside surface of the fiberglass has a temperature of 175 ∘C and its outside surface is at 35 ∘C. The fiberglass has a thermal conductivity of 0.040 W/(m⋅K).What is the heat current through the insulation, assuming it may be treated as a flat slab with an area of 1.40 m2?What electric-power input to the heating element is required to maintain this temperature?
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a uniform-density wheel of mass 11 kg and radius 0.41 m rotates on a low-friction axle. starting from rest, a string wrapped around the edge exerts a constant force of 15 n for 0.84 s. (a) What is the final angular speed?(a) ωf = radians/s(b) What was the average angular speed?ωaverage = radians/s(c) Through how big an angle did the wheel turn?θ = radians(d) How much string came off the wheel?d = m
The final angular speed of wheel is 5.586 rad/s, average angular speed is 3.325 rad/s with an angle of 2.793 degrees with 1.15 m of the string coming off.
(a) Mass of wheel = m = 11 Kg
Radius of wheel = 0.41 m
Constant force = f = 15 N
Time period = t = 0.84 s
Moment of Inertia = I =
= I = (1/2) mr²
= I =(1/2) X 11 X 0.41²
= I = 0.925 kg-m²
Now, torque due to force = T =
= T = F X r
= T = 15 X 0.41
= T = 6.15 Nm
We know that,
= T = I X α
= α = 6.65 rad/s²
Finally angular speed = ω =
= ω = ω₁ + αt
= ω = 0 + (6.65 X 0.84)
= ω = 5.586 rad/s
(b) Distance covered = d =
= d =ω₁t + (1/2)αt
= d = (1/2)αt
= d = 0.5 X 6.65 X 0.84
= d = 2.793 m
Thus,
Average angular speed = ω₂ =
= ω₂ = d/t
= ω₂ = 2.793 / 0.84
= ω₂ = 3.325 rad/s
(c) Distance covered = angle = d =
= d =ω₁t + (1/2)αt
= d = (1/2)αt
= d = 0.5 X 6.65 X 0.84
= d = 2.793 degrees
(d) The amount of string at came off the wheel = s =
= s = d X r
= s = 2.793 X 0.41
= s = 1.15 m
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which of the following is not a process that leads to heating the interiors of terrestrial planets? group of answer choices accretion differentiation radioactive decay volcanism
In general, planets produce warmness in keeping with their size. Radioactive atoms decay withinside the indoors, and conduction and convection delivery this warmness from the indoors to the surface.
Bigger planets have greater gravity, and the stress because of gravity enables to create a molten indoors which can power geological activity. What procedure keeps to warmness the terrestrial planets
Radioactive decay is maximum essential warmness supply today. Convection transports warmness as warm cloth rises and funky cloth falls. Conduction transfers warmness from warm cloth to chill cloth. Radiation sends electricity into space.
The maximum essential procedures in heating the interiors of the terrestrial worlds are: (1) Heat deposited with the aid of using the procedure of formation; (2) warmness launched with the aid of using radioactive decay.
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Why is there no liquid metallic hydrogen zone in the interiors of uranus or neptune?.
The pressure is too low for hydrogen to be metallic.
Why don't Uranus and Neptune have layers of metallic liquid hydrogen like Jupiter and Saturn?Because of their lower sizes, both lack the thick metallic hydrogen mantles present on Jupiter and Saturn (pressure never gets high enough inside). Uranus and Neptune are often referred to as Ice Giants to distinguish them from the Gas Giants, Jupiter and Saturn, because they are primarily ices with no deep hydrogen mantles. Because of their lower sizes, both lack the thick metallic hydrogen mantles present on Jupiter and Saturn (pressure never gets high enough inside). Uranus and Neptune are often referred to as Ice Giants to distinguish them from the Gas Giants, Jupiter and Saturn, because they are primarily ices with no deep hydrogen mantles.
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which type of balance involves mirroring a design across a central axis? a.asymmetrical b.informal c.radial d.symmetrical
symmetrical type of balance involves mirroring a design across a central axis.
What is a balance force?
Forces acting on a target without changing either its uniform motion or its state of rest are said to be balanced forces. Unbalanced force: When two opposing forces interact, an object is driven into motion. These competing forces are out of equilibrium.
What is symmentry balance?
When a design has two similar sides and a center point of axis, it is said to be symmetrical; as a result, the left and right sides of the design are mirror images of one another.
Therefore, the option(a) is correct- symmetrical.
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The total energy of a particle is the sum of its kinetic energy and its potential energy. The zero of the potential energy can be chosen arbitrarily, so the potential energy can be negative. Classically forbidden regions are where...
a. a particle’s total energy is greater than its kinetic energy
b. a particle’s total energy is greater than its potential energy
c. a particle’s total energy is less than its kinetic energy.
d. a particle’s total energy is equal its potential energy
e. a particle’s total energy is less than its potential energy
The correct option is E.
The total energy of a particle is the sum of its kinetic energy and its potential energy. If the particle ahs negative potential energy then a particle’s total energy is less than its potential energy.
In Physics, the total energy of a particle is the sum of kinetic energy and potential energy.
The kinetic energy is equal to the product of half of mass m and velocity v. In mathematical form it can be written as K.E = 1/2mv^2
While the potential energy is associated with the height of the particle.
Simply put, total energy of the particle can be written as P.E + K.E = mgh + 1/2mv^2
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g the collision in the previous question is group of answer choices elastic inelastic there is not enough information to determine whether the collision is elastic or inelastic perfectly inelastic
Assessment of initial kinetic energy and last kinetic energy. If the kinetic energies are the equal the collision is elastic.
Most regular collisions are categorized as inelastic collisions because some of the kinetic electricity is transformed into other forms including inner energy. Inelastic collisions are collisions in which kinetic strength is lost. despite the fact that the momentum of the system is conserved in inelastic collisions, now not kinetic power.
This is because some of the kinetic power changed into transferred to every other. Elastic collisions have longer interplay instances and lower maximum forces. Inelastic collisions showed some interesting consequences. A issue in appearing this experiment lies in the use of substances that produce inelastic collisions.
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which of the following risk factors is contributed by the roadway and environment? (a) blurred vision (c) bald tires (b) bright sun (d) broken headlight 2. six areas of space around a vehicle that are the width of a lane and
The person having blurred vision then that person is more prone to the roadways risk.
What is roadways?
Roadway risk is the term for dangers or damage that could result in traffic collisions.
The type of road and the driving circumstances are included in these roadway risks.
It includes bad weather and lighting, both of which cause the driver to be distracted.
What is the difference between road and roadway?
A road includes the whole thing, from shoulder to shoulder, including parts that can't be driven on (parking spaces, bike lanes).
A "roadway" is only that portion of a road intended for normal vehicular traffic.
Therefore, if a person having blurred vision then that person is more prone to the roadways risk.
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TRUE/FALSE. if a force always acts perpendicular to an object's direction of motion, that force cannot change the object's kinetic energy.
Answer: True
Explanation:
What happens when two same poles of a permanent magnet are near each other?.
Like poles push away from one another. Different poles are drawn together. Examples of non-contact forces include the attraction and repellence between two magnetic poles.
Magnets' oppositely polarized poles attract and repel one another. That the magnets repel one another is a known. We may conclude from this that the poles facing one another would be north-north or south-south. The north pole and the south pole are the two poles that make up a magnet. The identical poles of two separate magnets repel one another when they are brought near to one another. The opposite poles also attract one another when they are brought near to one another. Like poles push apart from one another. Different poles are drawn together. Examples of non-contact forces include the attraction and repellence between two magnetic poles. At the magnet's poles, the field is greatest.
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at what distance from a 27 mw point source of electromagnetic waves is the electric field amplitude 0.090 v/m ?
The distance from the point source is 8,100m
What is distance?
Distance is a measurement of the distance apart two objects or points are, either numerically or occasionally qualitatively. Distance can be a physical length in physics or to an estimate based on other factors in everyday language (e.g. "two counties over"). The term is also frequently used metaphorically to denote a measurement of the degree of separation between two similar objects (including such statistical distance between probabilistic or edit distance between strings of text). This is because spatial cognition is indeed a rich source of conceptual metaphors in human thought. he concept of a metric space is used in mathematics to formalise the majority of these notions of distance, both literal and figurative.
The electric field intensity at a distance from a point source depends on the inverse square of the distance from the source. Therefore, the distance from the point source can be calculated using the following equation:
Distance (d) = (1/ (E/E0))2 x 27m
Where E is the electric field intensity (0.090 V/m) and E0 is the electric field intensity at a distance of 27m (27mW).
Therefore, the distance from the point source is:
d = (1/ (0.090/27))2 x 27m = 8,100m
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find the gravitational force exerted on each black object below by other objects around it. what is the resultant gravitational force
The resultant gravitational force in each case is:
Fa= 2.1 x 10 ⁻⁶ NFb= 2.8E-6 N (right 73° down)Let's remember that to calculate the gravitational force exerted on a body, we must use Newton's law of gravitation, which states:
Fg = G (m1*m2/r²)
Calculation of the gravitational force of option "a":Fa = F1-F2
Fa = 6,67384(80) x 10-11 m3 kg-1 s-2 (1500 kg * 1400 kg/ (7m)²) - 6,67384(80) x 10-11 m3 kg-1 s-2 (800 kg * 1400 kg/(10m²))
Fa= 2.1 x 10 ⁻⁶ N
Calculation of the gravitational force of option "b":Fb = F1-F2
Fb = 6,67384(80) x 10-11 m3 kg-1 s-2 (1500 kg * 1300 kg/ (7m)²) (-j) - 6,67384(80) x 10-11 m3 kg-1 s-2 (800 kg * 1500 kg/(10m²)) (i)
Fb= 2.8E-6 N (right 73° down)
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A 460-loop circular armature coil with a diameter of 9.0 {\rm cm} rotates at120 {\rm rev/s} in a uniform magneticfield of strength 0.45 {\rm T}.1.What is the rms voltage output of the generator?2.What would you do to the rotation frequencyin order to double the rms voltage output?
The rms voltage output of the generator is 226.64 V and the frequency of rotation should be double in order to doubled the rms voltage output.
Number of loops (N) = 450
Diameter of coil (d) = 9.0 cm
Frequency at which the coil rotates (f) = 120 rev/s
Strength of magnetic field (B) = 0.45 T
Area = π × (d/2)²
= a = 3.14 × (0.09/2)²
= a = 0.0021 m²
The rms voltage output of the generator is =
= (N × ω × A × B ) / √2
= (N × 2 × π × f × A × B ) / √2
= ( 450 × 2 × 3.14 × 120 × 0.0021 × 0.45) /√2
= 226.64 V
The rotation frequency should also be doubled in order to double the rms voltage output as frequency is directly proportional to the rms voltage output.
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if a rock is dropped from a height of 178 178 ft, its poistion t t seconds after it is dropped until it hits the ground is given by the function s(t)=-16t^2 + 178. Round values below to 3 decimal places. a. How long does it take the rock to the hit the ground? b. find the avarage velocity of the rock from when it is released until when it hits the gorund. c, what time after rock is thrown will its instantaneous velocity be equal to its avarage velocity?
If a rock is dropped from a height of 178 ft, its position is given by the function s(t) = -16t² + 178.
a. It takes 3.34 s to reach for the rock to hit the ground.
b. The average velocity of the rock from when it is released until it hits the ground is 53.3 ft/s.
c. At 1.66 s, its instantaneous velocity will be equal to average velocity.
a. The given function is s(t) = -16t² + 178
To find t, we have to equate the distance to zero.
0 = -16t² + 178
16t² = 178
t² = 11.125
t = 3.34 s
b. The rock is said to be dropped from a height of 178 ft. Its average velocity is calculated by dividing the displacement of the rock upon total time taken to reach the ground.
v = 178/ 3.34 = 53.3 ft/s
c. The instantaneous velocity is calculated by differentiating s(t) with respect to t. And then equate it with the average velocity of the rock.
-32 t = 53.3
t = 1.66 s
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the principle of superposition can be used to determine the combined loading stress state as long as the system that you are analyzing remains linear.
It is true that the principle of superposition can be used to determine combined loading stress state as long as the system that you are analyzing remains linear.
What is the principle of superposition?The superposition principle is also known as superposition property. It states that, for all linear systems, net response caused by two or more stimuli is the sum of the responses that would have been caused by each stimulus individually.
We can also say that the superposition principle states that when two or more waves overlap in space, then the resultant disturbance is equal to the algebraic sum of the individual disturbances.
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28.5 g of iron shot is added to a graduated cylinder containing 45.50 ml of water. the water level rises to the 49.10ml mark, from the information, calculate the density of iron. socratic.org
The density of iron is 7.92g/ml when the water level rises to the 49.10ml mark.
What is density?The quantity of something per unit volume, unit area, or unit length: as. : the mass of a substance per unit volume. Density expressed in grams per cubic centimeter.
What is graduated cylinder?A tall narrow container with a volume scale used especially for measuring liquids.
How to calculate density?The formula for density is:
density = mass / volume
Here, volume of iron
49.10 mL− 45.50 mL = 3.60 mL
The volume of the iron shot = 3.60 mL
Density of iron:
density = 28.5 g / 3.60 mL
= 7.92 g/mL
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listed following is a set of statements describing individual stars or characteristics of stars. match these to the appropriate object category.
The set of statements describing individual stars or characteristics of stars are matched to the appropriate object category as shown below.
Red Giant or Supergiant Starts:
Very cool but very luminousFound in the upper right of the H-R diagramMain-sequence stars:
The majority of stars in our galaxyThe Sun, for exampleA very hot and very luminous starWhite dwarfs:
Not much larger in radius than EarthVery hot but very dimTherefore, the set of statements describing individual stars or characteristics of stars are matched to the appropriate object category as shown above.
The given question is incomplete. The complete question is:
Listed following is a set of statements describing individual stars or characteristics of stars. Match these to the appropriate object category.
a. Red Giant or Supergiant Starts.
b. Main-sequence stars
c. White dwarfs
1. Very cool but very luminous
2. Found in the upper right of the H-R diagram
3. The majority of stars in our galaxy
4. The Sun, for example
5. A very hot and very luminous star
6. Not much larger in radius than Earth
7. Very hot but very dim
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