The frequency (f) using the speed of light (c ≈ 3 x 10^8 m/s): 4.67 x 10^8 Hz for the transmitters.
To design a system that allows airplane pilots to make instrument landings in rain or fog using two radio transmitters 44 m apart on either side of the runway, you need to determine the frequency for the transmitters. To have sufficient accuracy, the first intensity maxima should be 70 m on either side of the nodal line at a distance of 4.8 km.
We can use the formula for constructive interference to find the frequency:
sin(θ) = mλ / d
Here, θ is the angle between the nodal line and the location of the first intensity maxima, m is the order of the maxima (m=1 for the first maxima), λ is the wavelength, and d is the distance between the transmitters (44 m).
First, find the angle θ using the tangent function:
tan(θ) = 70 m / 4.8 km = 70 m / 4800 m
θ = arctan(70/4800) ≈ 0.0146 radians
Now, use the sin(θ) formula with m=1 and d=44 m:
sin(0.0146) = 1 * λ / 44 m
λ ≈ 0.0146 * 44 m ≈ 0.6424 m
Now that we have the wavelength, we can find the frequency (f) using the speed of light (c ≈ 3 x 10^8 m/s):
f = c / λ
f ≈ (3 x 10^8 m/s) / 0.6424 m ≈ 4.67 x 10^8 Hz
You should specify a frequency of approximately 4.67 x 10^8 Hz for the transmitters.
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Complete question:
Your firm has been hired to design a system that allows airplane pilots to make instrument landings in rain or fog. You've decided to place two radio transmitters 44 {\rm m} apart on either side of the runway. These two transmitters will broadcast the same frequency, but out of phase with each other. This will cause a nodal line to extend straight off the end of the runway (see Figure 21.30b). As long as the airplane's receiver is silent, the pilot knows she's directly in line with the runway. If she drifts to one side or the other, the radio will pick up a signal and sound a warning beep. To have sufficient accuracy, the first intensity maxima need to be 70 {\rm m} on either side of the nodal line at a distance of 4.8 {\rm km}.
What frequency should you specify for the transmitters?
Discovering outer space had been an ancient goal of humanity. The first rocket launched ever was by the
American college professor and scientist Robert Goddard who built and flew the world's first liquid propellant
rocket on March 16, 1926. Its flight, though unimpressive (it climbed only 12.5 meters), was the forerunner of
the Saturn V Moon rocket 43 years later. Answer the following question using your math and science skills.
While launching a rocket into space, the rocket thrust (force) is calculated to be 20,000 N.
OOD
a) The mass of the rocket is approximately 3,000 kg, what would be the acceleration of the launched rocket?
b) The rocket starts from rest, what would be the final speed after 5 min?
The earliest known observations of the night sky date back to ancient civilizations such as the Babylonians, Egyptians, and Chinese, who recorded the positions of stars, planets, and other celestial bodies.
Explain about goal of humanity:Discovering outer space has been a goal of humanity for centuries. Throughout history, people have looked to the stars with a sense of wonder and curiosity, trying to understand the nature of the universe. a) To calculate the acceleration of the launched rocket, you can use the formula:However, it wasn't until the 20th century that humans were able to physically explore space. With the development of rocket technology, scientists were able to launch spacecrafts beyond Earth's atmosphere, allowing for the study of celestial bodies and the exploration of the Solar System and beyond.a = F / m
where F is the force (thrust) acting on the rocket and m is the mass of the rocket.
In this case, F = 20,000 N and m = 3,000 kg
So, a = 20,000 N / 3,000 kg = 6.67 m/s²
b) To calculate the final speed of the rocket after 5 minutes, you can use the formula:
v = a * t
where v is the final speed, a is the acceleration and t is the time.
In this case, a = 6.67 m/s² and t = 5 minutes = 300 seconds.
So, v = 6.67 m/s² * 300 seconds = 2,001 m/s
It's worth noting that the acceleration and final speed calculations are assuming that the rocket thrust is constant during the entire flight, which is not the case in reality, thrust changes during different stages of the rocket's flight.To learn more about goal of humanity refer to:
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a -0.06 C charge is placed in a uniform electric field with a strength of 200 N/C. what is the magnitude and direction of the force on the charge
The magnitude and direction of the force on the charge is -12 N opposite the electric field
To calculate the force on a charge in an electric field, we make use of the formula below.
Formula
F = E×Q .......................... Equation 1
Where:
F = Force on the chargeE = Electric FieldQ = chargeFrom the question,
Given:
E = 200 N/CQ = -0.06 CSubstitute these values into equation 1
F = 200(-0.06)F = -12 NNote: The negative sign indicates that the force is in the direction negative of the electric field.
Hence, The magnitude and direction of the force on the charge is -12 N opposite the electric field
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Answer: A edge 202694020
Explanation:
. a 7.0-kg box slides along a horizontal frictionless floor at 1.7 m/s and collides with a relatively massless spring that compresses 23 cm before the box comes to a stop. (a) how much kinetic energy does the box have before it collides with the spring? (b) calculate the work done by the spring. (c) determine the spring constant of the spring.
A. The kinetic energy of the box is 10.115 J
B. The work done by the spring is 7.889 J
C. The spring constant of the spring is 298.26 N/m
A. How to determine the kinetic energy
The kinetic energy of the box can be obatined as follow:
Mass (m) = 7 KgVelocity (v) = 1.7 m/sKinetic energy (KE) =?KE = ½mv²
KE = ½ × 7 × 1.7²
KE = 3.5 × 2.89
KE = 10.115 J
Thus, the kinetic energy is 10.115 J
B. How to determine the work done by the spring
Mass (m) = 7 KgAcceleration due to gravity (g) = 9.8 m/s²Force (F) = mg = 7 × 9.8 = 68.6 NCompression (e) = 23 cm = 23 / 100 = 0.23 mWork done (W) =?W = ½Fe
W = ½ × 68.6 × 0.23
W = 7.889 J
Thus, the work done is 7.889 J
C. How to determine the spring constant
Mass (m) = 7 KgAcceleration due to gravity (g) = 9.8 m/s²Force (F) = mg = 7 × 9.8 = 68.6 NCompression (e) = 23 cm = 23 / 100 = 0.23 mSpring constant (K) =?F = Ke
68.6 = K × 0.23
Divide both sides by 0.23
K = 68.6 / 0.23
K = 298.26 N/m
Thus, the spring constant is 298.26 N/m
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Suppose that during a test drive of two cars, one car travels 234 miles in the same time that a second car travels 180 miles. If the speed of the first car is 12 miles per hour faster than the speed of the second car, find the speed of both cars.
The speed of the first car is _____ mph. (Simplify your answer.)
The speed of the second car is _____ mph. (Simplify your answer)
The speed of the first car is 52 mph.
The speed of the second car is 40 mph.
Let's use "x" mph to represent the second car's speed. We can express the first car's speed as "x + 12" mph because it is 12 mph faster. According to our knowledge, the first car travelled 234 miles, while the second car covered 180 miles.
The relationship between speed and distance travelled is inversely proportional. As a result, the proportion of distances covered by the two vehicles will match the proportion of their speeds:
234 / 180 = (x + 12) / x
To solve this equation, we can cross-multiply:
234x = 180(x + 12)
Expanding the equation:
234x = 180x + 2160
Rearranging terms:
234x - 180x = 2160
54x = 2160
Dividing both sides by 54:
x = 40
Therefore, the speed of the second car is 40 mph.
To find the speed of the first car, we can substitute the value of x back into the expression "x + 12":
x + 12 = 40 + 12 = 52
Hence, the speed of the first car is 52 mph.
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The figure shows a 100-kg block being released from rest from a height of 1. 0 m. It then takes 0. 53 s for it to reach the floor. What is the mass m of the block on the left? there is no friction or mass in the pulley, and the connecting rope is very light.
The mass m of the block on the left is 16 Kg , correct answer.
What is friction?
Friction is a force that prevents two solid objects from rolling or sliding over one another. Although frictional forces, such the traction required to walk without slipping, may be advantageous, they can provide a significant amount of resistance to motion.
Think about how a 100 kilogramme block would move.
beginning speed (Vi) = 0 m/s
a stands for speed.
d=displacement=1 m
Time taken is t = 0.53 seconds.
Using the formula:
d=Vi t+(0.5)a t2
1 = (0) (0.53) + (0.5) a (0.53) (0.53)
2
a = 7.12 m/s2
Acceleration for an at wood machine is expressed as
7.12 = (100 - m) (9.8)/ (100 + m)
m = 15.84 kg
m = 16 kg
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5. Determine What factors affect the strength
of the gravitational force between objects?
Provide an example. SC.8.E.5.4
The two key factors that affect the strength of the gravitational force between objects are their mass and the distance between them.
The factors that affect the strength of the gravitational force between objects are:
1. Mass of the objects: The strength of the gravitational force increases with the increase in mass of the objects involved.
2. Distance between the objects: The strength of the gravitational force decreases with the increase in distance between the objects.
In summary, the strength of the gravitational force between objects is directly proportional to the product of their masses and inversely proportional to the square of the distance between them. This relationship is described by Newton's law of universal gravitation.
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An iron ball hangs from a ceiling by an insulating thread. The ball is attracted to a negatively charged rod held near the ball. The charge of the ball must be
An iron ball hangs from a ceiling by an insulating thread. The ball is attracted to a negatively charged rod held near the ball: The charge of the ball must be positive.
The iron ball, being attracted to a negatively charged rod, indicates that the ball and the rod have opposite charges. According to the principles of electrostatics, opposite charges attract each other. Since the negatively charged rod attracts the iron ball, the ball must possess a positive charge.
When a negatively charged object is brought near the neutral iron ball, the electrons in the iron ball are attracted towards the rod, causing a redistribution of charges. Electrons move away from the side of the ball facing the rod, leaving behind a net positive charge. As a result, the ball acquires a positive charge, enabling it to be attracted to the negatively charged rod.
Therefore, the charge of the ball must be positive to experience an attractive force towards the negatively charged rod.
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A murder has been committed and you are a juror at the trial. The prosecuting attorney has presented evidence that the victim put up a struggle and injured her assailant, drawing blood, prior to her demise. Blood typing was completed and the blood type matches the defendant's blood type. The prosecuting attorney states that this evidence is proof that the defendant is guilty of murder. As a juror, do you think the defendant is guilty of murder based on this evidence? Why or why not? If not, what other evidence do you think is needed?
The fact that the blood type matches that of the defendant is no proof that the defendant is guilty as charged.
There are about four blood types that people can have, these blood types are; A, B, AB and O. Everybody must posses one of these blood types. A person's blood type is determined through laboratory tests.
The prosecuting attorney was wrong in concluding that the defendant is guilty as charged only based on the blood type evidence. different people could have the same blood type. Only DNA analysis can conclusively prove that the defendant is actually guilty as charged.
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A 3-kilogram ball is accelerated from rest to a speed of 10 m/sec
The result of multiplying a particle's mass by its velocity is the fluctuation in momentum of a ball, which is 30 kg per second. Since momentum has both a magnitude and a direction, it is a vector quantity.
In the actual world, what is momentum?Almost every action that involves motion has momentum. It is an important tenet of physicsFor instance, if a team is moving forward and trying to stop, it will be difficult.
mv - mu, where u = 0 and v = 10 m/s, equals change in momentum. Note that the ball moved from rest, therefore its initial velocity was zero (u = 0).
Momentum change is equal to mv mu, which is 3*10 - 3*0, or 30.
30 kg/s = change in momentum.
What are examples and momentum?Momentum can be compared to the "power" a moving body has, or the amount of force it can exert on another body. For instance, a baseball that is thrown quickly (high velocity) and has a small bulk (big mass) can have the exact same momentum as a bowling ball that is travelling very slowly (low velocity).
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The atmospheric pressure at the surface of titan is.
Answer:
about 1.5 bars
Titan's atmosphere is similar to Earth's both in the predominance of nitrogen gas and in surface pressure, which is about 1.5 bars, or 50 percent higher than sea-level pressure on Earth.
Explanation:
the energy delivered to the resistive coil is dissipated as heat at a rate equal to the power input of the circuit. however, not all of the energy in the circuit is dissipated by the coil. because the emf source has internal resistance, energy is also dissipated by the battery as heat. calculate the rate of dissipation of energy pbat in the battery. express your answer in watts using three significant figures.
The rate of dissipation of energy in the battery is 5.51 W.
The current given is I = 10.5 A.
The internal resistance is given as follows:
R = 0.05 ohm
The energy dissipated or power is given as follows:
P = I²R
Substitute the values and calculate the power.
P = (10.5)²(0.05ohm)
= 5.51 W
This is the rate at which energy is dissipated in the battery.
The rate of dissipation of energy in the battery depends on the power input of the circuit, the resistance of the coil, and the internal resistance of the emf source. The higher the internal resistance of the emf source, the more energy will be dissipated by the battery as heat. Conversely, the lower the internal resistance of the emf source, the less energy will be dissipated by the battery and the more will be dissipated by the coil.
The rate of dissipation of energy in the battery is important to consider because it can affect the performance and lifespan of the battery. If the rate of energy dissipation in the battery is too high, it can cause the battery to overheat, which can lead to damage and reduced lifespan. Therefore, it is important to carefully consider the design of electrical circuits to minimize the rate of energy dissipation in the battery and ensure optimal performance and longevity.
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A rectangular plate is supported by three cables as shown. knowing that the tension in cable ab is 408 n, determine the components of the force exerted on the plate at
b.
Answer:
(192i +288j -216k) N
Explanation:
The un-normalized vector BA is ...
320i +480j -360k
Then the normalized vector is ...
(8i +12j -9k)/√(8² +12² +(-9)²) = (8/17)i +(12/17)j -(9/17)k
The cable tension multiplies this to give the components of cable tension:
(408 N)((8/17)i +(12/17)j -(9/17)k) = (192i +288j -216k) N
a ball at the end of a string of length 0.94 m rotates at a constant speed in a horizontal circle. it makes 8.1 rev/s. what period of the ball's motion?
suppose the angle of the mirror relative to the horizontal in figure 16.12 is 0 = 20°. what angle o does the reflected beam make w the horizontal
Assume the angle of the mirror relative to the horizontal in figure 16.12 is 0 = 20°. The reflected beam forms a 70° angle with the horizontal.
The angle of incidence i equal the angle of reflection (r), which means that:
i = r
We can use this fact to calculate the angle formed by the incident beam and the mirror. This is known as "a" angle.
a = 90° - i
a = 90° - r
Because i = r, we can simplify this to:
a = 90° - i
a = 90° - r
a = 90° - 20°
a = 70°
We can now apply the law of reflection to determine the angle that the reflected beam makes with the horizontal. According to the law of reflection, the angle of incidence equals the angle of reflection, which means:
o = r
Because we already know that the angle of incidence equals a, we can use this to calculate the angle of reflection:
o = r
o = a
o = 70°
As a result, the reflected beam forms a 70° angle with the horizontal.
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Which of the following would have the most momentum?
A. A train traveling 60 miles per hour.
B. A motorcycle traveling 60 miles per hour.
C. A car traveling at 60 miles per hour.
D. A basketball traveling 60 miles per hour.
Answer:
A. A train traveling 60 miles per hour.
Explanation:
Momentum can be defined as the multiplication (product) of the mass possessed by an object and its velocity. Momentum is considered to be a vector quantity because it has both magnitude and direction.
Mathematically, momentum is given by the formula;
\( Momentum = mass * velocity \)
This ultimately implies that, the mass of an object or body is directly proportional to its momentum. Thus, the higher the mass of an object or body, the greater would be its momentum and vice-versa.
Hence, a train traveling 60 miles per hour would have the most momentum because it has the greatest mass among the other objects (options).
how many hydrogen environments does benzopinacol have
Benzopinacol has two hydrogen environments because it contains two distinct chemical environments for the hydrogen atoms attached to the benzene ring. Understanding the number of hydrogen environments in a molecule is important because it can provide valuable information about the structure and properties of the molecule, which can be useful in various areas of chemistry, such as organic synthesis, drug discovery, and materials science.
Benzopinacol is an organic compound that belongs to the class of hydroxy ketones. It is a white crystalline solid that is insoluble in water but soluble in organic solvents. In organic chemistry, the concept of "hydrogen environments" refers to the unique chemical environments that hydrogen atoms can occupy within a molecule. The number of hydrogen environments in a molecule is determined by the number of distinct chemical environments that hydrogen atoms experience within the molecule. In this context, we will discuss the number of hydrogen environments in benzopinacol.
Benzopinacol has two hydroxyl groups (-OH) attached to the benzene ring, which makes it a diol. The two hydroxyl groups are attached to different carbon atoms on the benzene ring, which creates two distinct chemical environments for the hydrogen atoms attached to these carbons. Therefore, benzopinacol has two hydrogen environments: one environment for the hydrogen atoms attached to the carbon atom that is directly bonded to one of the hydroxyl groups, and another environment for the hydrogen atoms attached to the carbon atom that is directly bonded to the other hydroxyl group.
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A ball is thrown vertically upward from the ground with an initial velocity of 104 ft per sec. When will the ball reach its maximum height?
Explanation:
h(t) = -16t²+vt+h
v=initial velocity
h=initial height
h(t) = -16t²+104t+0 because the ball is thrown upward from the ground
t = -104/2(-16)
t = -104/-32
t = 3.25 seconds is when it reaches its maximum height
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according to stefan's law, if you have stars which are identical, except that one is 4 times hotter than the other, how much more light is emitted by the hotter star?
The radiation radiated from an area A on a black body at actual temperature T is directly in proportion to the fourth power of a temperature, according to Stefan Boltzmann's law.
What significance do ratio and proportion have?
The ratio and ratio are important building blocks for understanding the numerous ideas in science and mathematics. Several challenges in daily life can be solved with proportion, including those in business when handling transactions or in the kitchen, among other situations. It creates a relationship among two or more numbers and aids in comparing them.
What would a proportional statement look like in practice?
For instance, the proportion statement for the ratio 45 is 20/25 = 45. This proportional statement can be solved to yield: The relationship between two quantities, such as a:b, when b is not equal to 0, is thus defined by the ratio. Example: 2:4 = 1:2 is used to show the proportion of 2 to 4. Here, it is claimed that the statement is in proportion.
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alcohol,monosodium glutamate (vetsin), water, fruit extract,sugar, coffe powder, salt, cow's milk, cocoa powder, liquid detergent. solute or both or solvent
Answer: solute: sugar, coffee powder, salt, cocoa powder, liquid detergent, monosodium glutamate (vetsin).
solvent: cow's milk, water, fruit extract
Explanation:
A solution is a mixture that is made up of two or more substances including solute and solvent.
The solute is one which can be dissolved in a liquid part that is solvent. The solute can be liquid or solid. Solutes are sugar, salt, coffee powder, cocoa powder, liquid detergent, monosodium glutamate.
The solvent is one which dissolves in it solute particles or molecules. Solvent are cow's milk, water, and fruit extract.
electrons are accelerated by a 1000-v potential drop. (a) calculate the de broglie wavelength. (b) calculate the wave- length of the x-rays that could be produced when these elec- trons strike a solid.
The de Broglie wavelength of the electron is 2.212 x 10-11 m.
What is Broglie wavelength?The de Broglie wavelength is a concept in quantum mechanics which states that all matter has a wave-like nature, and can thus be described as a wave.
(a) The de Broglie wavelength (λ) of a particle is given by the equation: λ = h/p, where h is Planck's constant (6.626 x 10-34 J.s) and p is the momentum of the particle.
The momentum of an electron with a 1000-V potential drop is given by the equation p = eV/c,
where e is the electron charge (1.602 x 10-19 C) and c is the speed of light (2.998 x 108 m/s).
Therefore, the de Broglie wavelength of the electron is:
λ = h/(eV/c) = (6.626 x 10-34 J.s) / (1.602 x 10-19 C x 1000 V/2.998 x 108 m/s) = 2.212 x 10-11 m.
(b) X-rays are produced when high-energy electrons strike a solid.
The wavelength of the x-ray is inversely proportional to the energy of the electron.
The energy of the electron is equal to the potential drop, i.e. 1000 eV. Therefore,
the wavelength of the x-ray produced is: λ = hc/eV = (6.626 x 10-34 J.s x 2.998 x 108 m/s)/(1.602 x 10-19 C x 1000 eV) = 1.246 x 10-10 m.
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what is true about a pseudoscientific
Answer:
C: it ignores parts of the method within an investigation
Is visible light a form of
radiation? Explain.
Answer:
Yes,in fact visible 'light' is a form of radiation, which can be defined as an energy that travels in the form of electromagnetic waves. It can also be described as a flow of particle-like 'wave-packets', called photons, that travel constantly at the speed of light (about 300 000 kilometres per second).
Explanation:
according to the perspective, most people unconsciously rely on stereotypes every day because they provide an easy way to make determinations, which helps us survive and conserve resources.
Stereotyping and prejudice are two types of prejudices that contribute to and uphold social injustice. the propensity to see members of minority groups as animals then instead of people, or stereotyping.
Is the word "stereotype" a bad one?The word "stereotype" carries a bad reputation. However, a stereotype is nothing more than an assumption about the conduct of a particular set of individuals. Statistically, that might be correct, but it's not always true. In the opinion of many, even if a stereotype is statistically accurate, we shouldn't rely judgments on it when evaluating an individual.
In one phrase, define stereotype.stereotypes are preconceived notions that people are on how something or someone should be, especially when they are inaccurate. He doesn't fit the standard image of a Frenchman that the country holds. Simply archetypes, the individuals in the novel.
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a student has built a 10-cm-long pinhole camera for a science-fair project. she wants to photograph her friend, who is 180 cm tall, and have the image on the film be 5 cm high. how far should the front of the camera be from her friend
The distance between both the student's friend and camera is d = 360 cm or 3.6 m.
What is the structure of light?Light not only moves in waves; it also moves with a flow of small particles. Scientists call these tiny particles of light as photons. The packets contain the energy which makes up the energy of the light. The scientists measure something called the relative energy for different types of light.
The light traveling in any one direction in a straight line is called a ray of light. Meanwhile, a group of light rays given out from a source is called a beam of light.
In this case, camera’s height was 10 cm.
The height of student's friend was 180 cm.
That picture on camera has a length of 5 cm.
Now, let d represent the space among both the friend and device's face. Its identical triangles as in figure attached show how the lengths were connected.
So, to find out the distance, we can use the following equation:
5 cm / 10 cm = 180 cm / d
d = 10 cm * 180 cm / 5 cm
d = 360 cm
d = 3.6 m
Hence, the distance among both the friend and device's face is 360 cm or 3.6 m.
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A sales clerk at a local hardware store sells you a hammer with a mechanical advantage of 10 when used to pry up nails. You are able to create a force of 60 N. Using the hammer, what would be the maximum force that could be generated to remove a nail?
Answer:
W = 600 N
Explanation:
The mechanical advantage of any machine is the ratio of the load or weight to the effort applied. Hence, the general formula for mechanical advantage is as follows:
M.A = W/P
where,
M.A =Mechanical Advantage of Hammer = 10
W = Maximum force that could be generated = ?
P = Force created by me = 60 N
Therefore,
10 = W/60 N
W = 10*60 N
W = 600 N
In an automobile accident where a small car hits a large truck, the front end of the car was 1. 6 m long and 1. 3 m of it was completely crushed as the small car came to an abrupt stop. If the car was travelling at 60 m/s before hitting the truck. What was the average deceleration felt by the driver?
The average deceleration felt by the driver was approximately 26.67 m/s². to calculate the average deceleration, we can use the equation of motion:
v² = u² + 2as
where:
v = final velocity (0 m/s, since the car came to a stop)
u = initial velocity (60 m/s)
a = average deceleration
s = displacement (1.3 m, the distance the front end of the car was crushed)
Rearranging the equation, we have:
a = (v² - u²) / (2s)
Substituting the values:
a = (0 - 60²) / (2 * 1.3)
a ≈ -26.67 m/s² (negative sign indicates deceleration)
Therefore, the average deceleration felt by the driver was approximately 26.67 m/s². This means that for every second the car was in contact with the truck, its speed reduced by an average of 26.67 meters per second.
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What percentage of electricity is generated by renewable energy in 2050?
By 2050, according to the International Renewable Energy Agency (IRENA), 90 percent of the world's electricity can and ought to come from renewable sources.
What is the anticipated 2050 electricity consumption?Through 2050, the EIA predicts that the world's electricity production will increase by 1.8% year. According to EIA estimates, global electricity production would increase by approximately 20 trillion kWh from 2018 levels to nearly 45 trillion kWh by 2050.
How much (%) of the electricity produced worldwide comes from renewable sources?This energy is required for electrical production, heating, and transportation. The world's electricity is generated by renewable sources, such as hydroelectric, solar, and wind energy, for about 30% of the time.
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23.
A board for a shelf is 2.31 m long and 33.4 cm wide. to. What is the area of the shelf in square meters? b. What is the perimeter of the shelf in centimeters? c. Which will reduce the area of the shelf more: (1) cutting 3.4 cm from its width, or (2) cutting 0.31 m from its length?
Answer:
1 m = 100 cm....so 2.5 m = (2.5 * 100) = 250 cm
a = 1st shelf
b = 2nd
c = 3rd
d = 4th
a + b + c + d = 250
b = 2a + 18
c = a - 12
d = a + 4
a + (2a + 18) + (a - 12) + (a + 4) = 250
5a + 10 = 250
5a = 250 - 10
5a = 240
a = 240/5
a = 48 cm <== 1st shelf
b = 2a + 18 = 2(48) + 18 = 114 cm <== 2nd shelf
c = a - 12 = 48 - 12 = 36 cm <== 3rd shelf
d = a + 4 = 48 + 4 = 52 cm <== 4th shelf
so 2nd shelf is 114 cm
The Great Salt Lake is located in __________.
A.
Mississippi
B.
Arizona
C.
Florida
D.
Utah
Answer:
D
Explanation:
Also the capitol of Utah is Salt Lake City
Hope this helps!
Answer:
Utah
Explanation:
The Great Salt Lake, located in the northern part of the U.S. state of Utah, is the largest salt water lake in the Western Hemisphere, and the eighth-largest terminal lake in the world.
The magnetic field produced by the solenoid in a magnetic resonance imaging (MRI) system designed for measurements on whole human bodies has a field strength of 9.0 T, and the current in the solenoid is 2.5 102 A. What is the number of turns per meter of length of the solenoid
To find the number of turns per meter of length of the solenoid, we can use the formula for the magnetic field inside a solenoid
Formula of magnetic field inside a solenoid B = μ₀ * n * I
where B is the magnetic field strength, μ₀ is the permeability of free space (4π × 10^-7 T·m/A), n is the number of turns per unit length, and I is the current.
Rearranging the formula, we have:
n = B / (μ₀ * I)
Plugging in the given values, we get:
n = 9.0 T / (4π × 10^-7 T·m/A * 2.5 × 10^2 A)
n = 9.0 T / (1.26 × 10^-4 T·m/A)
n ≈ 7.14 × 10^4 turns/m
Therefore, the number of turns per meter of length of the solenoid is approximately 7.14 × 10^4 turns/m.
To learn more about resonance click here; brainly.com/question/29298725
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