The two wavelengths that are most strongly reflected are 497.6 nm, which is blue-green in color.
When an oil film is floating on the surface of water, the light waves that fall on the oil film undergo interference between waves that are reflected from the upper and lower surfaces of the oil film.
As a result, some wavelengths are intensified, while others are suppressed, resulting in an iridescent sheen.In this case, we have a 360-nm-thick oil film floating on the surface of the water. The indices of refraction of the oil and water are 1.50 and 1.33, respectively.
The surface of the oil is illuminated from above at normal incidence with white light. Let's figure out which two wavelengths in the 400-nm to 800-nm wavelength region are most strongly reflected.
The wavelength that undergoes constructive interference with the light that is reflected from the upper surface will be most intensely reflected, while the wavelength that undergoes destructive interference will be most intensely suppressed.
The formula for determining the wavelength of light that undergoes constructive or destructive interference in an oil film is:2ntcosθ = mλwhere n is the index of refraction of the oil, t is the thickness of the oil film, θ is the angle of incidence of the light,
m is an integer representing the order of the interference pattern (m = 0, ±1, ±2, ±3, ...), and λ is the wavelength of the light.The wavelength of light that is most strongly reflected is given by the equation above.
We need to use the equation above to calculate the wavelengths of light that will undergo constructive interference when reflected from the upper and lower surfaces of the oil film, respectively. The two wavelengths that will undergo the most intense constructive interference are those that are closest in value to each other.
The first step is to calculate the angle of incidence of the light using Snell's law. Here's how to do it:θ = sin-1(n1/n2)where n1 and n2 are the indices of refraction of the media in which the light is traveling. In this case, the light is traveling from air (n1 = 1.00) into the oil (n2 = 1.50), so we have:θ = sin-1(1.00/1.50) = 41.81°
We can now use this angle and the formula above to calculate the wavelengths of light that will undergo constructive interference when reflected from the upper and lower surfaces of the oil film, respectively.
For constructive interference, m = 0. Thus, we have:2ntcosθ = 0λ1 = 2nt1/cosθ = (2 × 360 nm × 1.50)/cos 41.81° = 497.6 nmλ2 = 2nt2/cosθ = (2 × 360 nm × 1.50)/cos 41.81° = 497.6 nmTherefore, the two wavelengths that are most strongly reflected are 497.6 nm, which is blue-green in color.
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What is the wavelength of an electron of energy 13.0 eV? 857"10^-8 m Submit Answer Incorrect. Tries 1/99 Previous Tries What is the wavelength of an electron of energy 130 eV? Submit Answer Tries 0/99 What is the wavelength of an electron of energy 1.30 keV? Submit Answer Tries 0/99
the wavelength of an electron with an energy of 13.0 eV is approximately 1.486 × 10^(-10) m.
To calculate the wavelength of an electron given its energy, we can use the de Broglie wavelength equation:
λ = h / p
where:
λ is the wavelength,
h is the Planck's constant (approximately 6.626 × 10^(-34) J·s),
p is the momentum of the electron.
The momentum of an electron can be calculated using the equation:
p = √(2mE)
where:
m is the mass of the electron (approximately 9.10938356 × 10^(-31) kg),
E is the energy of the electron.
Let's calculate the wavelength of an electron with an energy of 13.0 eV:
E = 13.0 eV = 13.0 × 1.6 × 10^(-19) J (converting eV to joules)
Using the equation for momentum:
p = √(2mE)
p = √(2 × 9.10938356 × 10^(-31) kg × 13.0 × 1.6 × 10^(-19) J)
Now, we can calculate the wavelength:
λ = h / p
λ = (6.626 × 10^(-34) J·s) / p
Performing the calculations:
p ≈ 4.457 × \(10^{(-24)}\) kg·m/s
λ ≈ (6.626 × \({10^(-34)}\) J·s) / (4.457 × \(10^{(-24)}\) kg·m/s)
λ ≈ 1.486 ×\(10^{(-10)}\) m
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explain how the spray painting process makes use of static electricity
Answer:
The spray paint gun is charged positively, which causes every paint particle to become positively charged. Since the paint particles all have the same charge, they repel each other and produce a fine mist of paint which is sprayed towards the wall/car.
Answer:
xerography can i get brainliest
Explanation:
hi = L(1 – cos theta), theta = 40
Answer:A pendulum consists of a ball at the end of a massless string of length 1.4 m. The ball is released from rest with the string making an angle of 20 degrees with the vertical. What is the maximum speed of the pendulum?
Explanation: Have a great day and oh here is a little something to warn the great people. In the comments....
;)
(27) Pendulum A has a 2 kg mass attached to a 1-meter length string. Pendulum B has a 4 kg mass attached to a 0.5-
meter length string. What is the frequency of each string? Does the longer or shorter string have a higher
frequency?
The 1 meter long string
b. The 0.5 meter long string
c. They are the same
(28) A pendulum has a period of 8 seconds. What is the length and frequency of the string?
a. 0.13 Hz and 16.21 meters
c. 0.79 Hz and 640 meters
b. 16.21 Hz and 0.13 meters
d. 0.13 Hz and 1579.13 meters
a.
As the length of the string attached to the pendulum increases, its frequency decreases. Hence, the frequency of shorter string will be higher. The frequency of the string is 0.13 Hz and the length of pendulum is 16 m.
What is frequency ?Frequency of an oscillation is the number of wave cycles per unit time. It is the inverse of time period. As the length of the pendulum increases, the frequency of oscillation decreases. Therefore, the shorter pendulum will have greater frequency.
Given time period of pendulum = 8 s.
then length of pendulum L = T²/4π² g.
l = 8²/4×π² × 9.8 m/s² = 16 m.
Frequency of the oscillation is the inverse of its time period. Hence, the frequency of the pendulum for a time period of 8 Hz is :
1/8 = 0.13 Hz.
Therefore, option a is correct.
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nasa launches a rocket at seconds. its height, in meters above sea-level, as a function of time is given by . assuming that the rocket will splash down into the ocean, at what time does splashdown occur? the rocket splashes down after seconds. how high above sea-level does the rocket get at its peak? the rocket peaks at meters above sea-level.
The rocket will splash down into the ocean at the time of 68.92 sec and the rocket get at its peak till 5946.6m.
(a) When h(t) = 0, the rock crashes down. Use the quadratic formula to find t after setting h(t) = 0.
0 = − \(4.9t^2\)+ 334t + 255
t = -0.75, 68.92
Time cannot be negative, so disregard the negative response.
t = 68.92 sec
(b) When the trajectory's slope is zero, the rock is at its highest point. The objective is to determine when the slope of this trajectory—which is also the tangent line—is zero. To accomplish this, set h'(t) to 0 and take the derivative of h(t).
h'(t) = -9.8t + 334
0 = -9.8t + 334
t = 34.08 sec
Utilize this moment to determine the ball's height, h(t), so that h (34.08 sec).
h(t) = − \(4.9\times 34.08^2\) + 334(34.08) + 255
h(t) = 5946.6m
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Try working backward from the desired goal to the starting point or current state. This advice describes a
Answer:
heuristic.
Explanation:
Psychology can be defined as the scientific study of both the consciousness and unconsciousness of the human mind such as feelings, emotions and thoughts, so as to understand how it functions and affect human behaviors in contextual terms.
This ultimately implies that, psychology focuses on studying behaviors and the mind that controls it.
A heuristic is an automatic mental shortcut or rule of thumb that avail people the opportunity to make quick and efficient judgement in decision-making process, as well as proffering solutions to a problem. Thus, it allows people to make decisions, pass probability judgement or proffer solutions to problem quickly and efficiently while applying minimal mental effort.
Basically, a heuristic helps an individual to shorten the decision-making time while paying less attention on thinking of his or her next course of action.
Hence, when you're advised to try working backward from the desired goal to the starting point or current state. This advice describes a heuristic.
Work is best described as?
Answer:
Explanation:
In physics, work can be described as force multiplied by the displacement of the object (distance caused by the force acted on the object).
Work is a form of energy, therefore, it is measured in joules.
If Alex pushed on an object with 10N of force, and the object moved 2 meters, the work of Alex will be equal to:
W = Ft
W = 10N * 2m
W = 20 Joules
But, if we have John, that pushed on an object with 2N of force, but, since the object was way smaller, therefore it had way less inertia, the object moved a distance equal to 10 meters. Let's also calculate his work.
W = Ft
W = 2N * 10m
W = 20 Joules
And we got the same result.
Work can also be used to calculate power.
Power is equal to P = Work / time
It can also be written as P = delta Work / delta time
Power is measured in joules per second.
With power you can make the difference between someone that got a 2 kg object up in 2 second, and someone that got a 2 kg object up in 5 second.
The more powerful one would be the one who managed to make the same work in less time.
Hope it Helped!
Work is described as: the measure of energy transfer resulting from the application of force over a displacement.
What is Work?In the field of physics, work is most accurately defined as the outcome of multiplying the force exerted on an object by the distance the object is displaced in the same direction as the force.
This calculation serves to quantify the energy transferred to or from the object. For instance, if an individual applies a 50 Newton force to push a box across a 5-meter distance in the force's direction, the work done on the box would equal 250 Joules (50 N × 5 m).
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The resistance, r, to electricity of a cylindrical-shaped wire is given by the equation r = startfraction p l over pi d squared endfraction, where p represents the resistivity of the wire’s material, l represents the length of the wire, and d represents the diameter of the wire. what happens to the resistance of the wire as the diameter approaches 0?
As the diameter of the wire approaches to zero, the resisitance approaches infinity.
What is resistance?Electrical resistance is the physical capacity of any body to oppose the flow of electric current even when there is an applied potential difference, capacity calculated by Ohm's First Law, and, according to the International System of Units (IS), is measured in ohms.
With that being said, and knonwing that:
R = Resistance; p = Resistivity; L = Length; d = Diameter
It is possible to calculate the resistance of the wire by:
\(R = p\frac{L}{A}\)
Where A is calculated by:
\(A = \frac{\pi d^{2} }{4}\)
Changing in the first formula:
\(R = p\frac{L}{\pi d^{2} } \\\\R = p\frac{4L}{\pi d^{2} }\)
Knowing that when the diameter tends to zero resistance tends to infinity, it is possible to say that resistance of the wire will tend to infinity when the diameter approaches zero.
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Answer:
The resistance approaches infinity.
Explanation:
100% Correct
Based on the forces of inertia and momentum, ________ varies according to speed, weight, and the distance between impact and stop.
The amount of force required to stop an object, based on the forces of inertia and momentum, varies according to speed, weight, and the distance between impact and stop.
Inertia is the tendency of an object to remain in motion unless acted upon by an outside force, while momentum is the product of an object's mass and velocity. The amount of force required to stop an object is proportional to its mass, velocity, and the distance it needs to travel before it comes to a stop. The greater the mass, velocity, and distance, the more force is required to stop the object.
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How does static electricity apply to car
paint application?
Answer:
For electrostatic paint to be applied, the vehicle needs to be grounded and positively charged. This creates a magnetic attraction to the negatively charged paint. Due to this charge, when the paint leaves the nozzle, it is attracted to the vehicle's charge and will stick to it.
Explanation:
what building stands at 1,776 feet tall in a nod to the declaration of independence?
The building that stands at 1,776 feet tall in a nod to the Declaration of Independence is the One World Trade Center in New York City.
The One World Trade Center is the main building of the World Trade Center complex, which was built on the site of the original World Trade Center buildings that were destroyed in the September 11, 2001 attacks.
The height of 1,776 feet was chosen for the One World Trade Center as a symbolic reference to the year 1776, when the Declaration of Independence was signed. The One World Trade Center is the tallest building in the United States, and it is one of the tallest buildings in the world. It features a distinctive spire at the top that is lit up at night, making it a recognizable landmark on the New York City skyline.
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Question :- If a spring of spring constant ‘m’ is divided into 5:3 ratio, then what will be the spring constant of the larger piece of spring?
Answer :- 8m/5
I need explanation!
\(\qquad\qquad\huge\underline{{\sf Answer}}\)
Here we go ~
As we have been given, The spring of spring constant " m " was cut to form 2 new springs in ratio of 5 : 3.
we have to find out the spring constant of the longer spring which was formed, and it's given that spring constant of the main spring was " m "
Now, let the length of main spring be " l "
So, lengths of the resultant springs will be :
\(\qquad \cal \dashrightarrow \: \dfrac{5l}{8} \: \: and \: \: \dfrac{3l}{8} \: \: \: \: respectively\)
And we know that spring constant is inversely proportional to length of spring so, we infer that :
\(\qquad \cal \dashrightarrow \: m\propto \dfrac{1}{l} m \: \: \: \: \: - (1)\)
where, m is spring constant of main spring and l is its length.
\(\qquad \cal\dashrightarrow \: m_1 \propto \dfrac{8}{5l} \: \: \: \: \: \: \: - (2)\)
where, m1 is spring constant of longer spring, and 5l/8 is its length.
let's divide (2) by (1), we will get ~
\(\qquad \cal \dashrightarrow \: \dfrac{m_1}{m} = \dfrac{8}{5l} \div \dfrac{1}{l} \)
\(\qquad \cal \dashrightarrow \: \dfrac{m_1}{m} = \dfrac{8}{5l} \times \dfrac{l}{1} \)
\(\qquad \cal \dashrightarrow \: \dfrac{m_1}{m} = \dfrac{8}{5} \)
\(\qquad \cal \dashrightarrow \: {m_1}{} = \dfrac{8}{5} m \)
So, the spring constant of equivalent longer strong formed will be 8/5 m
prove:
\(m_2 = \frac{8m}{5} \)
Explanation:
Given:
Spring constant of spring= m
The ratio of spring = 5:3
To find:
spring constant of the larger piece of spring?
Solution:
Let the length of larger piece L2 be 5x and smaller piece L1 be 3x with spring constant m2 and m1 respectively.
now,
spring constant (m) inversely proportional to the length of spring i.e.
\(m \propto \: \frac{1}{l} {,}\: m_1 \propto \: \frac{1}{l_1} {,}\: m_2 \propto \: \frac{1}{l_2}\)
Also,
The spring is connected in series hence,
\( \frac{1}{m} = \frac{1}{m_1} + \frac{1}{m_2} \)
and
\( \frac{m_1}{m_2} = \frac{l_2}{l_1} \\ {m_1} = {m_2} \cdot \frac{l_2}{l_1} \\ {m_1} = {m_2} \cdot \frac{5}{3} \\ \)
Substituting above value in,
\( \frac{1}{m} = \frac{1}{m_1} + \frac{1}{m_2} \\ \frac{1}{m} = \frac{1}{{m_2} \cdot \frac{5}{3}} + \frac{1}{m_2} \\ \frac{1}{m} = \frac{3}{5m_2} + \frac{1}{m_2} \\ \frac{1}{m} = \frac{3m_2 + 5m_2}{5 {m_2}^{2} } \\ \frac{1}{m} = \frac{8m_2}{5 {m_2}^{2} } \\ \frac{1}{m} = \frac{8 \cancel {m_2}}{5 \cancel{m_2}^{2} } \\ \frac{1}{m} = \frac{8}{5m_2} \\ m_2 = \frac{8m}{5} \)
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giving brainly if correct show work
Answer:
Umm Lucy will weigh to many pounds
Explanation:
If a police car is travelling towards you what effect does this have on the police
siren?
Answer:
well they make the siren go beacaus eyou are doing somthing wrong so what were you thinking
Explanation:
What are the poles of a bar magnet.is it North West South or east.
Answer:
One end of any bar magnet will always want to point north if it is freely suspended. This is called the north-seeking pole of the magnet, or simply the north pole. The opposite end is called the south pole.
Explanation:
Answer:
North Pole and South Poles
Explanation:
There is no east or west in a magnetic field of a magnet. The magnetic field lines comes from North pole to south pole.
How does the electrical force relate to the charge of an object?
Answer:
It is directly proportional to the charge
Explanation:
Hope this helps : )
As elevation increases, temperature decreases. At which elevation will sound travel fastest? 500 meters 1,000 meters 1,500 meters 2,000 meters
Answer:
500 meters
Explanation:
Sound travels faster in warmer air because the air particles have more kinetic energy. The highest temperature air is found at the lowest altitude, therefore 500 meters is the elevation that sound travels the fastest from the options provided.
Answer:
500 meters
Explanation:
2.) A rock is kicked off a 5m high cliff. The rock lands 7m from the base of the cliff. With what velocity was the rock initially kicked?
The velocity with which the rock initially kicked if the cliff is 5 m high and the rock lands 7m from the base of the cliff is 6.93 m / s
s = ut + 1 / 2 at²
s = Distance
u = Initial velocity
t = Time
a = Acceleration
In vertical motion,
s = 5 m
u = 0
a = 9.8 m / s²
5 = 0 + ( 1 / 2 * 9.8 * t² )
t² = 1.02
t = 1.01 s
In horizontal motion,
s = 7 m
a = 0 ( Since velocity is constant )
7 = 1.01 u + 0
u = 7 / 1.01
u = 6.93 m / s
Therefore, the velocity with which the rock initially kicked is 6.93 m / s
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Q.7. For a system with a transfer function of G(s)=- co² s² +2a+w² if the natural frequency is 0.5 and the damping ratio is 1.3, which of the following statements is correct regarding the unit step response of the system?
O A) Damped
O B) Undamped
O C) Underdamped
O D) Crittically Damped
O E) Overdamped
The system described by the transfer function G(s) = -co² s² + 2a + w², with a damping ratio of 1.3 and a natural frequency of 0.5, has an overdamped unit step response. So, the correct option is (E)
The transfer function of the system is given as G(s) = -co² s² + 2a + w², where co represents the damping ratio, a represents an arbitrary constant, and w represents the natural frequency of the system. We are given that the natural frequency is 0.5 and the damping ratio is 1.3.
To determine the type of unit step response, we need to analyze the damping ratio (co) in relation to the critical damping value (co_critical).
The critical damping ratio (co_critical) is defined as the value where the system is on the threshold between being overdamped and underdamped. It is given by the formula co_critical = 2 * sqrt(a * w²).
In our case, the natural frequency (w) is 0.5, so we can calculate co_critical as follows: co_critical = 2 * sqrt(a * 0.5²).
Since the damping ratio (co) is given as 1.3, we can compare it with co_critical to determine the type of unit step response.
If co > co_critical, the system is considered overdamped (Option E).
If co = co_critical, the system is considered critically damped (Option D).
If co < co_critical, the system is considered underdamped (Option C).
Based on the given values, we can determine that the system is overdamped (Option E) because the damping ratio (1.3) is greater than the critical damping ratio.
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Usain Bolt accelerates at a rate of 3.7
m/s2 and his top speed is 12.7 m/s. How
long does it take for him to run the 100m
dash based on these numbers
Answer:
Explanation:
I think that you to run more than 12 miles
Question 50 Marks: 1 The amount of heat required to lower one pound of a product one degree Fahrenheit isChoose one answer. a. exothermal extraction b. the specific heat c. the coolant factor d. important to know
The correct answer is Specific heat.
The amount of energy required to raise the temperature of one pound of water by one degree Fahrenheit at standard atmospheric pressure is called specific heat in BTU (British Thermal Unit) which is a unit of measurement for energy used as per the British system.
BTU is used for measuring the heating or cooling capacity of an appliance as per the FPS system. For example, the BTU rating of a furnace or air conditioner indicates how much heat or cooling it can produce in a given period of time.
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What is the value of inte after the following statements are executed? dim intc as integer dim intd as integer dim inte as integer intc = 20 intd = 3 inte = intc / intd
The value of intE after the following statements are executed is calculated as 6
Simplification :
IntE = intC /IntD
IntE = \(\frac{20}{3} = 6.66\)
IntE = 6.6
What does one mean about programming?
Programming is that the process of creating a set of instructions that tell a computer how to perform a task. Programming are often done using a variety of computer programming languages, like JavaScript, Python, and C++
What is the main purpose of programming?
The purpose of programming is to find a sequence of instructions that will automate the performance of a task (which can be as complex as an operating system) on a computer, often for solving a given problem.
Why is it important to review programming?
Learning to code not only allows you to offer machines instructions, but it also teaches you abstract thinking and problem-solving. In fact, problem-solving skills and creativity are key to becoming a successful programmer . Of course, you'll also have to know some coding languages to apply your knowledge
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The velocity – time graph of an object moving along a straight line is shown in
fig. Find (a) the distance covered and (b) the displacement of the object in time
interval between t = 0 s and t = 10 s
(a) The distance travelled by the object is 100 m.
(b) The displacement of the object in time interval between t = 0 s and t = 10 s is 60 m.
What is the distance covered by the object?(a) The distance travelled by the object is calculated from the total area of the curve.
total distance = area of triangle 1 + area of triangle 2 + area of rectangle.
total distance = (¹/₂ x base x height)₁ + (¹/₂ x base x height)₂ + length x width
total distance = (¹/₂ x 6 s x 20 m/s) + (¹/₂ (8 - 6) 20) + (10 - 0)(10 - 8)
total distance = 60 m + 20 m + 20 m
total distance = 100 m
(b) The displacement of the object in time interval between t = 0 s and t = 10 s is calculated as follows;
displacement = final position - initial position
displacement = (¹/₂ x base x height)₁ + (¹/₂ x base x height)₂ + length x width
displacement = (¹/₂ x 6 s x 20 m/s) + (¹/₂ (8 - 6) (-20)) + (10 - 0)(10 - 8)
displacement = 60 m - 20 m + 20 m = 60 m
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what focal length would be necessary if the lens were to have a maximum angular magnification of 4.0?
Focal length of the lens should be negative four times the focal length of the eyepiece to achieve a maximum angular magnification of 4.0. we need to use the formula for angular magnification:
Angular Magnification (M) = - (focal length of lens) / (focal length of eyepiece)
Given that the maximum angular magnification (M) is 4.0, we can rewrite the formula as:
4.0 = - (focal length of lens) / (focal length of eyepiece)
Since the focal length of the eyepiece is not provided, we cannot directly calculate the focal length of the lens. However, we can determine the relationship between the focal lengths.
Let's assume the focal length of the eyepiece is constant and equal to "f."
Then, we can rewrite the formula as:
4.0 = - (focal length of lens) / f
By rearranging the equation, we find:
focal length of lens = -4.0 * f
This tells us that the focal length of the lens should be negative four times the focal length of the eyepiece to achieve a maximum angular magnification of 4.0.
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when you develop your personal fitness goals it is essential that you
Answer:
fitness is very important to me
we can measure the radii of stars in an eclipsing binary system, in addition to the masses.
T/F
This statement is True. In an eclipsing binary system, we can observe the periodic eclipses of the two stars as they orbit each other. By measuring the changes in the light and duration of the eclipses, we can calculate the radii of the stars as well as their masses.
In an eclipsing binary system, we can indeed measure both the radii and masses of the stars involved. This is achieved by analyzing the light curves and radial velocity data of the system, which provide information on the stars' sizes and orbital motion.
Combining these measurements allows for the accurate determination of both the radii and masses of the stars.
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A 0.5kg ball falls from a building that Is 50m high. how much kinetic energy will it have when it has fallen half way to the ground?
Which of the following will best transport electrons around an electrical circuit
Answer:
b is correct!!!!!!!!!!!
The best transport electrons around an electrical circuit are connected in series. Thus, the correct answer would be option (B) are connected in series.
What is alternating current (AC)?An alternating current (AC) circuits continuously switches the direction of electron flow back and forth, which can result in fluctuations in voltage and current.
On the other hand, in a direct current (DC) electrical circuit, the electrons flow in one direction, from the negative terminal of the power source to the positive terminal. This unidirectional flow of electrons provides a consistent and stable flow of electricity throughout the circuit.
Connecting components in series mean that they are connected end-to-end, and the current flowing through them is the same.
Overall, the best option to transport electrons around an electrical circuit are to connect in series.
Therefore, the correct answer would be option (B) are connected in series.
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How do wings help a plane to fly?
ANSWER
EXPLANATION
We want to find out how wings help a plane to fly.
The wings of an airplane are there to help lift the plane. They are shaped to make air move faster over the wings.
They are used for lifting, landing, turning and controlling the airplane. The curve on the wings make the air move faster than the air at the bottom of the wings which appropriates Bernoulli's principle to push the plane into the air.
A ball, originally held about 2.6 feet above the ground, is thrown vertically upward with an initial velocity of 55 feet per second. The height h above the ground after t seconds is approximated by the following function:
h(t) = 2.6+55t - 16t2
At what time t will the ball strike the ground?
Considering the definition of zeros of a quadratic function, the time the ball will strike the ground is 3.484 seconds.
Definition of zeros of a functionThe points where a polynomial function crosses the axis of the independent term (x) represent the zeros of the function.
The roots or zeros of the quadratic function are those values of x for which the expression is equal to 0. Graphically, the roots correspond to the abscissa of the points where the parabola intersects the x-axis.
In a quadratic function that has the form:
f(x)= ax² + bx + c
the zeros or roots are calculated by:
\(x1,x2=\frac{-b+-\sqrt{b^{2} -4*a*c} }{2*a}\)
Time the ball will strike the groundTo know the time the ball will strike the ground, yo need to calculated the zeros of the function h(t) = 2.6 + 55t - 16t²
Being:
a= -16b=55c= 2.6the zeros or roots are calculated as:
\(x1=\frac{-55+\sqrt{55^{2} -4*(-16)*2.6} }{2*(-16)}\)
\(x1=\frac{-55+\sqrt{3191.4} }{2*(-16)}\)
\(x1=\frac{-55+56.4925}{-32}\)
x1= -0.047
and
\(x2=\frac{-55-\sqrt{55^{2} -4*(-16)*2.6} }{2*(-16)}\)
\(x2=\frac{-55-\sqrt{3191.4} }{2*(-16)}\)
\(x2=\frac{-55-56.4925}{-32}\)
x2= 3.484
Finally, since time is not negative, the time the ball will strike the ground is 3.484 seconds.
Learn more about the zeros of a quadratic function:
brainly.com/question/842305
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