Using a windows computer, to expand a branch of the folder tree you would
click the + (plus symbol) on the folder tree.right-clicking next to different disks and folders.The act of opening a folder and showing every item inside. For instance, in Microsoft Windows' Explorer, a user can double-click or click the plus (+) sign adjacent to a folder to expand it and view its contents. Click the minus (-) sign to collapse the folder if you wished to hide its contents.
The contents of a folder can range from papers and music to programs [such Word, Excel, or your preferred browser]. However, computer folders can also include numerous other folders, and those sub-folders can also contain more folders. Then, there are a number of folders, including Control Panel and Recycle Bin. The "Libraries" branch is the most significant one.
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a generator supplies 100 v to a transformer's primary coil, which has 50 turns. if the secondary coil has 500 turns, what is the secondary voltage?
According to the question if the secondary coil of transformer has 500 turns, the secondary voltage is 1000 V.
What are transformers and what varieties exist?Transformers for power, transformers for distribution, and transformers for isolation, in that sequence. We have Dual Winding Transformer and Autotransformers based on windings. We offer Core Type Transformers, Shell Type Transformers, and Berry Type Transformers based on core designs.
Briefing:For an ideal transformer
Vs/Vp=Ns/Np
Given that primary voltage V =100 V
Number of turns in primary N = 50 turns
Number of turns in srcondary Ns = 500 turns
Therefore
Vs/100=500/50
Hence voltage across secondary Vs = 1000 V
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What is the magnitude of the net force on the first wire in (figure 1)? express your answer in newtons
0.00025 N is the magnitude of the net force on the first wire in (figure 1).
What is net force?The total of all forces exerted on an item is known as the net force. A mass can accelerate due to net force. A body is subject to another force whether it is at rest or in motion. When there are a lot of forces acting on a system, the phrase "net force" is employed.
From the diagram, first wire has an attracting force from third wire at 0.04 m distance and a repelling force from second wire at 0.02 m distance.
Expression of the force is -
F = [µ ×π×(I)² × L] / (2πd)
When d = 0.02 m,
or, F = [4 ×π× 10⁻⁷(10)² × 0.50] / (2π × 0.02)
or, F = 0.0005 N
And when d = 0.04 m,
or, F = [4 ×π× 10⁻⁷(10)² × 0.50] / (2π × 0.04)
or, F = 0.00025 N
So, the net force on first wire = 0.005 - 0.00025
= 0.00025 N repelling or upward.
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The complete question is as follows:
What is the magnitude of the net force on the first wire in (Figure 1)?
Express your answer in newtons.
find the weight of a car on a 12 degree slope if the force required to push the car up the hill is 650 lbs g
The weight of the car on the 12 degree slope is 546.72 lbs. This weight is important to know for various reasons, such as calculating the amount of force and energy required to move the car up the hill.
The weight of a car on a 12 degree slope can be calculated using the formula:
Weight = Force * sin(Slope Angle)
Therefore, the weight of the car on the 12 degree slope can be calculated as follows:
Weight = 650 lbs * sin(12°)
Weight = 546.72 lbs
The weight of a car on a 12 degree slope is important to know for various reasons. For example, if the car is being driven up the slope, it is important to know the weight of the vehicle to ensure that it will be able to make it up the hill. Additionally, knowing the weight of the car on the slope can help engineers and designers to calculate the amount of force and energy required to move the car up the hill.
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if the demand function for money is m/p = 0.5y – 100r, then the slope of the lm curve is:
As a result, the slope of the LM curve is 0.005.
The ratio of the income sensitivity of real money demand over the interest sensitivity of real money demand determines the slope of the LM curve, which is represented by the coefficient of Y, k over h. With regard to monetary policy, this ratio is crucial.
The money supply function has an impact on the LM curve as well. The supply of money may become more susceptible to interest rates in the current environment of high levels and volatility of interest rates.
The general LM equation is written in terms of Y and r,
Where Money supply = Money demand,
0.5Y – 100r = (M/P) where (M/P) is a constant
100r = 0.5Y - (M/P)
r = 0.005Y - 0.01(M/P)
dr/dY = 0.005 is the slope of the LM function.
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when a nucleus of 235u undergoes fission, it breaks into two smaller, more tightly bound fragments. t or f
The fragments reaction is 7.59 MeV/nucleon and 8.39 MeV/nucleon
What is nucleus ?
Neutrons and protons, which have opposite electric charges, make up atomic nuclei. The strongest basic force now understood, known as the strong force, is what holds these things together. A normal atom's nucleus generally holds more than 99.9% of the atom's mass yet takes up considerably less than.01 percent of its volume.
What is fission ?
When a neutron collides with a bigger atom, it excites it and causes it to split into two smaller atoms, which are known as fission products. This process is known as fission. A chain reaction might start as a result of additional neutrons that are also emitted. Huge amounts of energy are produced during the splitting of each atom.
1) m_proton + m_netron + m_electron - m_U
= 92*1.007276466812 + 92*5.4857990943e-4 + 143*1.008664916 - (235.0439299)
= 1.9151 u
= 931.494061 * 1.9151 MeV
= 1784 MeV
= 1784/235 = 7.59 MeV/nucleon
2) m_proton + m_netron + m_electron - m_Cs
= 55*1.007276466812 + 55*5.4857990943e-4 + 82*1.008664916 - (136.9070895)
= 1.2338 u
= 931.494061 * 1.2338 MeV
= 1149 MeV
= 1145/137 = 8.39 MeV/nucleon
Therefore, the fragments reaction is 7.59 MeV/nucleon and 8.39 MeV/nucleon.
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a boy rides his bicycle which has wheels of radius 27.0 cm. if the boy accelerates from rest to a speed of 11.2 m/s in 24.0 s, what is the angular acceleration (in rad/s2) of the tires? (enter the magnitude.)
The angular acceleration is 0.01533rad/s.
We are given that,
Radius = r = 27.0cm
Speed = v = 11.2 m/s
Time = t = 24.0 s
Therefore , We shall first find the linear acceleration before calculating the angular acceleration from one of the linear motion kinematics equations and the initial velocity u will be 0.
v = u + at
a = v/t
a = (11.2m/s)/(27.0×10⁻²m)
a = 0.414 ×10⁻²m/s²
Now , calculating the angular acceleration,
a = α × r
α = a/r
α = (0.414 ×10⁻²m/s²)/(27.0×10⁻²m)
α = 0.01533rad/s
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the vibrations of a transverse wave move in a direction a. along the direction of wave travel. b. at right angles to the direction of wave travel. c. that changes with speed. d. opposite to the velocity.
Correct answer is b. at right angles to the direction of wave travel
The vibrations of a transverse wave move in a direction "at right angles to the direction of wave travel." The correct option is B.
What is a transverse wave?A transverse wave is a type of wave where the particles of the medium vibrate perpendicular to the direction of wave propagation. In other words, the motion of the medium is at right angles to the direction in which the wave moves. The term "transverse" is derived from the Latin word "transversus", which means "across".
Examples of transverse waves include light waves, electromagnetic waves, and seismic S-waves. In a transverse wave, the displacement of particles in the medium is perpendicular to the direction of the wave. This type of wave can be described by its amplitude, wavelength, frequency, and speed.
The amplitude of a transverse wave is the maximum displacement of the particles from their equilibrium position. The wavelength is the distance between two successive points in the medium that are in phase with each other. The frequency is the number of waves that pass a given point in the medium per unit time. The speed of a transverse wave is determined by the properties of the medium, such as its density and elasticity.
One interesting property of transverse waves is that they can undergo polarization, which is the process of filtering out waves that vibrate in a certain direction. This is commonly used in polarized sunglasses to reduce glare from reflective surfaces.
Therefore, transverse waves are a type of wave where the particles of the medium vibrate perpendicular to the direction of wave propagation. They are characterized by their amplitude, wavelength, frequency, and speed, and can undergo polarization. Transverse waves have important applications in fields such as optics, communication, and seismology.
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where is the center of gravity of the man doing the classic yoga poses shown in (figure 1)?
The center of gravity of the man doing the classic yoga poses will be as shown in first figure.
The Center of Gravity is the theoretical point in the body where the body's total weight is expected to exert force. It is important to know the center of gravity because it predicts the behavior of a body's movement when obeying gravity. It is also used in the construction of static structures such as buildings and bridges.
In a modern gravitational field, the center of gravity is identical to the center of mass. However, the two concepts do not always coincide. For the moon, the center of mass is very close to its geometric center. However, its center of gravity is slightly lower than Earth's due to the strong gravitational force of the nearby moon.
In a symmetrically shaped object made of homogenous materials, the center of gravity will match the body's geometric location. However, an asymmetrical object consisting of many components with different dimensions will have its center of gravity at some distance from its geometric center. In the hollow body or irregularly shaped body, the center of gravity in a point outside the body material.
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thermal expansion, pressure release, and mineral, frost, and root wedging all are weathering processes.
Mechanical weathering mechanisms include pressure release, thermal expansion, frost and root wedging. Weathering that occurs mechanically is sometimes called physical weathering.
This is typically referred to as thermal expansion. The fractional change in volume or length per unit change in temperature can be referred to as thermal expansion. Typically, the linear expansion coefficient is used when dealing with a solid expansion. The force perpendicular to an object's surface that is delivered per unit area over that force is known as pressure (symbol: p or P). The gauge pressure, also known as gauge pressure, is the pressure in relation to the surrounding air pressure. To express pressure, a variety of units are employed.
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The complete question is -
Thermal expansion, pressure release, and mineral, frost, and root wedging all are ________ weathering processes.
6. An ice skater is spinning at 60 RPM when she pulls in her arms and undergoes an angular acceleration of 10 rad/s"" for 0. 6 seconds. What was her final RPM and how many rotations did she spin during this time?
The final RPM of ice skater is 116.38.
RPM's meaning?RPM's meaning? per revolution
RPM, which stands for revolutions per minute, is a measure of how quickly a machine is operating at any one time. RPM is a measure used in automobiles to indicate how often the crankshaft completes one full rotation each minute as well as how frequently each piston rises and falls in its cylinder.
Briefing:
ω₀ = 6.2π rad/s
α= 10π rad/s
t = 4.2 s
Find: ω
ω = αt + ω₀
ω = 10 (0.6 s) + 6.2π rad/s
ω = 116.38RPM
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what is the expected mass of a potassium-39 nucleus, based on the total mass of its protons and neutrons?
The total mass of the protons and neutrons in a potassium-39 nucleus is 6.5307 x 10^-26 kilograms.
The mass of a potassium-39 nucleus can be calculated based on the total mass of its protons and neutrons. Potassium-39 is a stable isotope of potassium with 19 protons and 20 neutrons in its nucleus. The mass of a proton is approximately 1.6726 x 10^-27 kilograms, and the mass of a neutron is approximately 1.6749 x 10^-27 kilograms.
Therefore, the total mass of the protons in a potassium-39 nucleus is 19 x 1.6726 x 10^-27 = 3.18094 x 10^-26 kilograms. The total mass of the neutrons in a potassium-39 nucleus is 20 x 1.6749 x 10^-27 = 3.3498 x 10^-26 kilograms.
The total mass of the protons and neutrons in a potassium-39 nucleus is therefore 3.18094 x 10^-26 + 3.3498 x 10^-26 = 6.5307 x 10^-26 kilograms. This is the expected mass of a potassium-39 nucleus, based on the total mass of its protons and neutrons.
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consider the standing wave on a guitar string and the sound wave generated by the guitar as a result of this vibration. what do these two waves have in common?
The frequency between them is equal. A guitar string vibrates transversely when it is plucked, whereas the sound it makes creates a longitudinal wave in the atmosphere.
When a string is plucked, the bridge transmits the vibration, which reverberates throughout the top of the guitar. Additionally, it travels to the instrument's back and sides before resonating through the body's air and emitting sound out the sound hole. The traces on the diagram connect at nodes, which are places in the standing wave pattern where the string is completely stationary. Antinodes, where the string goes up and down the most, are seen in between nodes.
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What are three thing you reearched about how earthquake tart and how they travel
Whenever the ground is hit with enough force to crack or break, an earthquake results. Tectonic plate boundaries are linked to the majority of earthquakes.
What is earthquake explain?An earthquake is a quick movement of geological materials beneath the earth's surface that causes the ground to shake violently or weakly. The tectonic plate boundary is where the earthquakes start.
What is earthquake and its effects?The earthquake is the sudden energy released from the earth's crust that causes the earth's surface to shake. Seismic waves, also called S waves, are consequently produced. The type and severity of an earthquake are based on the local seismic activity.
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freddy frog drops vertically from a tree onto a horizontally-moving skateboard. the reason he doesn't slip off the skateboard is due to
The reason the frog doesn't slip is the friction between his feet and the board
Friction is the force that opposes the relative motion between two surfaces that are in contact. In the case of a skateboard, the static friction between the feet and the board helps to keep someone from slipping off when the skateboard is not moving. Once the skateboard begins to move, the static friction changes to kinetic friction and helps to keep it from slipping off as the skateboard moves.
The amount of friction between two surfaces depends on the nature of the surfaces and the force with which they are pressed together. Thus, when the Freddy frog drops vertically and lands on a skateboard, the friction between his feet and the surface of the skateboard helps to keep him from slipping off.
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A 150-kg object takes 1.5 minutes to travel a 2,500-meter straight path. It begins the trip traveling 120 meters per second and decelerates to a velocity of 20 meters per second.
What was its acceleration?
Responses
(A) −1.11 m/s2
(B) −0.3 m/s2
(C) +1.11 m/s2
(D) +80 m/s2
Answer: So the answer is (A) -1.11 m/s^2.
Explanation: To solve this problem, we need to use the formula for average acceleration, which is given by:
a = (vf - vi) / t
Where a is the acceleration, vf is the final velocity, vi is the initial velocity, and t is the time.
Plugging in the values given in the problem, we get:
a = (20 m/s - 120 m/s) / (1.5 minutes * 60 seconds/minute) = -100 m/s / 90 seconds = -1.11 m/s^2
So the answer is (A) -1.11 m/s^2.
The planet mercury orbit around the sun is an ellipse eccentricity 0.206 length of major axis us 1.16×10 the power of 8 km. the sun at one focus
1,What is the maximum distance from mercury to the sun
2,what is the minimum distance b/n them
The maximum distance from mercury to the sun is 0.58 * 10⁸ km.
The minimum distance b/n them is 0.46 * 10⁸ km.
What is the distance about?The shape of an elliptical orbit can be described by its eccentricity, which is a measure of how "flattened" the ellipse is. An eccentricity of 0 indicates a circular orbit, while an eccentricity of 1 indicates a parabolic orbit.
In the case of Mercury's orbit, the eccentricity is given as 0.206, which means that the orbit is slightly flattened, but still close to circular. The length of the major axis of the ellipse is given as 1.16 * 10⁸ km.
To find the maximum distance from Mercury to the sun (also known as the aphelion), we need to find the distance from the center of the ellipse to the farthest point on the ellipse (which is at the top of the major axis). This distance is equal to half of the length of the major axis. Thus, the maximum distance from Mercury to the sun is:
1.16 * 10⁸ km / 2 =0.58 * 10⁸ km
To find the minimum distance between Mercury and the sun (also known as the perihelion), we need to find the distance from the center of the ellipse to the closest point on the ellipse (which is at the bottom of the major axis). This distance is equal to half of the length of the major axis times the square root of 1 - (eccentricity)². Thus, the minimum distance between Mercury and the sun is:
[tex](1.16 x 10^8 km / 2) * \sqrt{(1 - (0.206)^2) } = 0.46 * 10^8 km[/tex]
Therefore, Note that the sun is located at one of the foci of the elliptical orbit, rather than at the center. However, since the eccentricity of Mercury's orbit is relatively small (0.206), the distance from the center of the ellipse to either focus is very close to the distance from the center to the top or bottom of the major axis, and the difference can be ignored for most purposes.
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does initial velocity equal final velocity when doing a one dimenstion free fall problem if you throw a ball up
If we assume at time instance t= 0, then the same thing happens. initial velocity is equal to final velocity
During a free fall, only the gravitational force acts on a body. The initial velocity of the body is zero during free fall.
Vertical motion is symmetrical - the distance and time are the same in the rise as in the fall; the final velocity will have the same magnitude as the initial velocity but in the opposite direction. Horizontal components will never be effected by gravity; it is constant velocity motion
The average velocity is the ratio of the total distance traveled to the total time taken. This can happen in two cases, first if the initial velocity and the final velocity are equal to the average velocity and there is no change in the velocity for the entire trip
Velocity is the measure of the amount of distance an object covers in a given amount of time. Here's a word equation that expresses the relationship between distance, velocity and time: Velocity equals distance travelled divided by the time it takes to get there.
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two initially uncharged metal spheres are mounted on insulating stand and placed in contact with each other, as shown. a student brings a positively charged insulating rod near sphere 1, sphere 2 is then removed, and finally the rod is moved away. what is the net charge on sphere 1?
They represent a simple explanation of our basic charge interactions, best recognized by the jingle "opposites attract, likes repel."
B and C are also untrue for the same reason; they contradict the fundamental statement of charge interactions. E and H are correct. To become charged, an object must either gain or lose electrons. Losing electrons causes more positive charge than negative charge, resulting in a positively charged item. Gaining electrons causes more negative charge than positive charge, resulting in a negatively charged item. Protons are securely linked in atom nuclei and can never be added or withdrawn by regular electrostatic means. The same argument leads to the rejection of options F and G as possible true.
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Fig. 23-11 how the variation of the electric potential V (meaured in Volt) a a function of the radial direction r (meaured in meter). For which range of r i the magnitude of the electric field the larget?
As you walk away from the charge, the potential becomes less negative and actually grows, coming closer and closer to zero.
If you are infinitely far away from the charge, the potential for both positive and negative charges is zero. The electric potential (also known as the electric field potential, potential drop, or electrostatic potential) is defined as the amount of work energy required to transport a unit of electric charge in an electric field from a reference point to a specified place. The Volt difference dropped across a fixed resistance of one ohm with a current of one ampere running through it is the unit of potential difference formed between two locations.
dV
V=5x \s2 \s −10x−9
dx dV \s \s
=10x−10
so, E=−(10x−10)
The value of E=(1010)
=0V/m for
x=1m
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the threads of a screw used to fasten two pieces of wood are pitched at an angle. how does this increase the static friction force?
In a case whereby the threads of a screw used to fasten two pieces of wood are pitched at an angle this will increase the static friction forceD By decreasing the coefficient of static friction between the screw and the wood.
How can this be explained?It should be noted that the greater the thread angle, the greater the angle between the load vector as well as the surface normal, hence the the normal force between the threads required to support a given load will be larger.
It should be nopted that the here will be increase in the thread angle as well as the friction and wear of a screw.
Therefore, option D is correct.
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misssing options:
A By decreasing the surface area between the screw surface and the wood
B By increasing the ease of inserting the screw into the wood
C By increasing the normal force exerted by the wood on the screw thread
D By decreasing the coefficient of static friction between the screw and the wood
Dad pulls his daughter Sarah (Sarah and sled combined mass 60 kg) on a sled, pulling on a rope with a force of 300 N at an angle of 30° above the horizontal. If we neglect friction force: What is the normal force acting on the sled/Sarah system?
Answer: Fn = 450 N
Explanation:
Part of the tension acts in the upward y-direction, reducing the normal force.
ΣFy = Fn + Ftsin(30)-Fg
0 = Fn + (300 N)sin(30) - (60 kg)(10 m/s^2)
0 = Fn + 150 N - 600 N
0 = Fn - 450 N
Fn = 450 N
a graphical presentation that uses vertical bars to display the magnitude of quantitative data is known as a
A graphical presentation that uses vertical bars to display the magnitude of quantitative data is known as a Column chart.
What is a Column chart?Column charts make use of vertical bars to compare several objects or categories. On one axis are the comparison categories, while on the other are the data values. They are helpful in illuminating the conditions at a specific time. Anything that can be counted, such the volume of items sold or website hits, can be represented in a column chart.
Using column charts, you may show how various numbers differ from one another. When there are significant differences in the data values, column charts—which are used to compare changes between groups over time—are easiest to understand.
If there are several categories to compare, a line graph could be easier to comprehend.
Column charts can be created using standard, stacked, or percentage forms. It is simpler to compare and identify trends in the data because the same data is presented in each format in a different way. The steps for creating conventional, stacked, and percentages charts are the same regardless of the outcome.
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sound is emitted by 20 w speaker (which propagates in all directions). what is the intensity in decibels at 10 m? 100m?
The intensity of sound in decibels at 10 m is 17.6 dB.
The intensity of sound in decibels at 100 m is 14.08 dB.
The formula to calculate intensity when power is given is I = P/A
where, I is the intensity
P is the power
A is the area
Given, P = 20 W
A₁ = 4πr² = 4π* 10² = 1256.64 m²
A₂ = 4πr² = 4π* 100² =125663.71 m²
I₁ = P / A₁ = 20/1256.64 = 0.0159 W/m²
I₂ = P / A₂ = 20/125663.71 = 0.000159 W/m²
The expression between intensity of sound and decibel level is
dB = 10* log (I/ 1.0* 10⁻¹² W/m²) --------(1)
Substituting the values of I₁ and I₂ in (1),
dB₁ = 10* log (1.5* 10⁻²/ 1.0* 10⁻¹²) = 10* log(1.5* 10¹⁰) = 10* [ log 1.5 + 10] = 10*(0.176* 10) = 17.6 dB
dB₂ = 10* log (1.5* 10⁻⁴/ 1.0* 10⁻¹²) = 10* log(1.5* 10⁸) = 10* [ log 1.5 + 8 ] = 10*(0.176* 8) = 14.08 dB
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a pair of french bikers rode from paris to qatar for the world cup. a total of 7,000 kilometers in __ months.
From Paris to Qatar for the world cup, two French riders traveled by bicycle. In three months, 7,000 kilometers overall.
The Fédération Internationale de Football Association (FIFA), the world's governing organization of association football, and its senior men's national teams compete in the FIFA World Cup, commonly referred to as the World Cup. With the exception of 1942 and 1946, when it was postponed due to World War II, the tournament has been conducted every four years since its inception in 1930. The current winners are France, who captured their second championship during the 2018 competition in Russia.
The structure uses a qualification round to choose the teams that advance to the tournament phase, which occurs over the previous three years. 32 teams fight for the title at sites in the host country or nations during the tournament round.
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17. two identical waves undergo pure constructive interference. is the resultant intensity twice that of the individual waves? explain your answer.
According to the question, two identical waves undergo pure constructive interference, resultant intensity is quadruple individual wave intensity.
What is sound wave interference?When two or even more sound waves are present at once from distinct sources, they interact with one another to create a new wave. The combination of all previous waves results in the new wave. Interference is the term for wave interaction.
What is a good illustration of interference?The reflecting light from an oil coating floating on water is one of the best illustrations of interference. Another illustration is the thin coating of a soap bubble (shown in Figure 1), which, when illuminated by either natural or synthetic light sources, reflects a variety of lovely colors.
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a ball is launched up in the air from ground level with a velocity of 12 m/s. what is its velocity when it hits the ground?
Initial speed (vo) equals 12 m/s, and gravity (g) equals -9.8 m/s. When it lands, it will have a velocity of 2.
What is an easy way to define velocity?A particle or object's movement with the passage of time is expressed vectorially as velocity. The meter per second (m/s), usually referred to as speed, is the acknowledged unit of velocity magnitude.
Why does velocity formula exist?According to the equation v = s/t, rate of change (v) is a dimensionless number that quantifies displacement (or a shift in position, s), over change in time (t).
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A block is released from rest on an inclined
plane and moves 3.4 m during the next 5.5 s.
The acceleration of gravity is 9.8 m/s^2
What is the frictional force acting on the
13 kg mass?
Answer in units of N.
The frictional force acting on the 13 kg mass is 40.65 N.
What is the acceleration of the block?
The acceleration of the block is calculated by applying the following kinematic equation as shown below.
s = ut + ¹/₂at²
where;
u is the initial velocity of the block = 0t is the time of motion of the blocka is the acceleration of the blocks is the distance travelled by the blocks = 0 + ¹/₂at²
¹/₂at² = s
at² = 2s
a = 2s / t²
a = (2 x 3.4) / (5.5²)
a = 0.225 m/s²
The frictional force acting on the 13 kg mass is calculated as follows;
W sinθ - F = ma
where;
W is the weight of the blockθ is the angle of inclination of the blockF is the frictional forcem is the mass of the blocka is the acceleration of the block(13 x 9.8 x sin20) - F = 13 x 0.225
43.57 - F = 2.925
F = 43.57 - 2.925
F = 40.65 N
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an airplane pilot wishes to fly due west. a wind of 88.0 km/h is blowing toward the south.
The pilot should head 12.09 degrees clockwise to the west direction.
The actual velocity of plane over ground is calculated to be 410.34 km/hr.
This question can be solved using the concept of resolution of vectors.
Any vector that is oriented at an angle to the horizontal (or vertical) can be thought of as having two parts: the direction vector and the tangent vector, according to the definition of a vector (or components). In other words, any vector with a two-dimensional direction may be conceived of as having two pieces.
a) Let us assume that the plane moves at an angle θ (clockwise to the west direction).
Let the velocity of plane be given by '[tex]v_{a} \\[/tex]'. Now this velocity [tex]v_{a}[/tex] has two components.
According to the figure
[tex]v_{a}[/tex]sinθ= [tex]v_{w}[/tex]
here [tex]v_{a}= 420 km/hr[/tex]
[tex]v_{w}= 88 km/hr[/tex]
420 sinθ= 88
sinθ= [tex]\frac{88}{420}[/tex]= 0.209
which gives θ= 12.09 degrees
b) The actual velocity of the plane over ground is given by [tex]v_{a}[/tex]cosθ
v= 420cos(12.09)= 420×0.977= 410.34 km/hr
Complete question:
An airplane pilot wishes to fly due west. A wind of 88.0 km/h is blowing toward the south. A. If the airspeed of the plane (its speed in still air) is 420.0 km/h , in which direction should the pilot head?
B. What is the speed of the plane over the ground?
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you replace a 100-watt light bulb with a 25-watt compact fluorescent bulb. over a 10,000 hr life, how much energy, in kilowatt-hours, do you save? if electricity costs $0.15 per kilowatt-hour how much money do you save?
If you replace a 100-watt light bulb with a 25-watt compact fluorescent bulb, over a 10,000 hr life, you will save electricity bill of $112,5
A fluorescent bulb is more energy efficient than an incandescent bulb. It produces the same amount of light with less electricity.
The energy used by the bulbs is often expressed in Kwh or kilowatt-hour.
The formula is:
Kilowatt-hours = power (in kilowatt) x time usage (in hours)
In the given problem:
Time usage = 10,000 hours
Light bulb:
Power = 100 watt = 0.1 kw
kwh = 0.1 x 10,000 = 1,000 kwh
electricity bill = 1000 kwh x $0.15/kwh = $150
fluorescent bulb
Power = 25 watt = 0.025 kw
kwh = 0.025 x 10,000 = 250 kwh
electricity bill = 250 kwh x $0.15/kwh = $37,5
Money save = $150 - $37,5 = $112,5
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what is the difference between fresnel and fraunhofer diffraction? are they different physical processes? explain.
The Fraunhofer process is typically simpler to study even though they are physically the same processes and have distinct features. Fresnel diffraction, players who are near to one another, and non-parallel light rays
Participants in the Fraunhofer diffraction are far apart, and the light beams are parallel.
When plane waves are incident on a diffracting object and the diffraction pattern is observed far enough away from the object (a distance satisfying Fraunhofer condition) (in the far-field region), as well as when it is observed at the focal plane of an imaging lens, the Fraunhofer diffraction equation is used to model the diffraction of waves in optics. The Fresnel diffraction equation, on the other hand, predicts the diffraction pattern that is produced close to the diffracting object (in the near field area).
Although Joseph von Fraunhofer was not directly engaged in the formulation of the theory, the equation bears his name.
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