(a) The angle the rifle should be pointed to give the maximum range is 45⁰.
(b) The maximum range of the bullet is 47,183.7 m.
What is the maximum range of the raffle?
The maximum range of the raffle is calculated by applying the following kinematic equation.
R = u² sin(2θ) / g
where;
u is the velocity of the bulletθ is the angle of projection of the bulletg is the acceleration due to gravityAt the maximum range, the angle of projection = 45⁰
The maximum range of the bullet is calculated as follows;
R = u² sin(2θ) / g
R = (680² x sin(2 x 45) ) / 9.8
R = 47,183.7 m
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A. The angle at which the rifle should be pointed to give the maximum range is 45 degrees.
B. The maximum range of the bullet is 4383.5 m
A. How do I determine the angle for maximum range?
projectile motion involves motion which follows a parabolic path.
However, to obtain a maximum range for projectile motion, the angle of projection must be 45 degrees
B. How do I determine the maximum range?
The maximum range of the bullet can be obtained as follow:
Initial velocity (u) = 680 ft/s = 680 × 0.3048 = 207.264 m/sAngle of projection for maximum range (θ) = 45 ° Acceleration due to gravity (g) = 9.8 m/s²Maximum range (R) =?R = u²Sine(2θ) / g
R = [207.264² × Sine (2×45)] / 9.8
R = 4383.5 m
Thus, the maximum range is 4383.5 m
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during one cycle, an automobile engine takes in 12,000 j of heat and discards 9000 j of heat. what is the efficiency of this engine?
The efficiency of this engine is 25%.
How do you calculate energy efficiency?Efficiency is essentially a measurement of the amount of labor or energy that may be saved throughout a process. In other words, it's similar to comparing the energy intake and output in any particular system. For instance, we see that many processes result in the loss of effort or energy like vibration or waste heat.The energy efficiency is calculated by dividing the energy output by the energy input, then expressing the result in percentage form. In a similar vein, a perfect process is said to have a 100% efficiency.By dividing the energy input and output by 100%, we can determine anything's efficiency. This equation is typically used to represent energy that takes the form of heat or power.Given details :
Qinn - 12,000 j
Qout - 9000 j
By applying formula
η = W/Qinn
= (Qinn-Qut)/Qinn
= = (12000-9000)/12000
= 1/4 = 25%
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what is the equilibrium temperature of this system? the average specific heat of aluminum over this temperature range is 653 j/(kg⋅k) .
The equilibrium temperature of this system is Zero.
Given,
[tex]m_{A}[/tex] = 150g
[tex]m_{w}[/tex] = 80
[tex]Q_{A}[/tex] = mcΔT = (0.15) (653) (0-(-196))
= 19198.2 J
Also, [tex]Q_{w}[/tex] = [tex]m_{w}[/tex] CΔT = (0.08) (4186) (14)
= 4688.32 J
So, all the water does not freezes
Therefore, [tex]t_{f}[/tex] = 0 C
What is equilibrium?
Equilibrium, in physics, the state of a system when neither the state of motion nor the state of internal energy tends to change over time. A simple mechanical body is in equilibrium when it experiences neither linear nor angular acceleration. This state will continue indefinitely unless disturbed by an external force. Equilibrium occurs for a single particle when the vector sum of all forces acting on the particle is zero. A rigid body (which by definition differs from a particle by its properties of extension) is in equilibrium when, in addition to the states listed above for particles, the vector sum of all torques acting on the body is equal to zero, Its state of rotational motion remains constant. An equilibrium is said to be stable when a small externally induced displacement from that state produces a force opposing the displacement tending to return the body or particle to the equilibrium state. Examples include weights suspended from springs or bricks placed on a flat surface. Equilibrium is unstable when small deviations produce forces that tend to increase the displacement. An example is the ball he bearing balanced on the edge of a razor.
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a boy stands in a large bucket used to lift humans to higher elevations. the combined weight of the boy and bucket is w. the bucket has a lightweight rope attached to its top and extending up and over a simple pulley that is attached to the ceiling high above the boy. the rope is long enough to come back down to his hands, as shown. as the boy pulls himself upward, he applies a force f to the rope. which of the following claims indicates a correct relationship between f and wand provides appropriate reasoning?
a. F W, because as the boy exerts a force downward on the rope, the tension in the rope pulls up on the boy. Plus, the boy must overcome the friction in the pulley.
F > W because as the boy exerts a force downward on the rope, the tension in the rope pulls up on the boy. Plus, the boy must overcome the friction in the pulley.
Solution:
m₁a + T₁ = W
Since the rope is continuous T₁ = F
m₁a + F = W
F = W - m₁a
Tension is defined as the force transmitted through a rope, cord, or wire when pulled by forces acting from opposite sides. Tension is transmitted along the length of the wire, drawing energy evenly into the bodies at both ends.
Pulling force is the force exerted on the body by a rope or cord. Ropes and cords cannot push your body. You must always draw the body. The pulling force is directed towards the rope or cord, away from the body being pulled.
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A thermodynamic process occurs in which the entropy of a system changes by −8 j/k. According to the second law of thermodynamics, what can you conclude about the entropy change of the environment?.
A thermodynamic process occurs in which the entropy of a system changes by −8 j/k and according to the second law of thermodynamics, the change in entropy must be equal to +8 j/k .
Why is there a change in entropy ?According to second law of thermodynamics:
Entropy change of system = − Entropy change of environment
∴ ΔS [tex]sys[/tex] = - ΔS [tex]env[/tex]
∴ ΔS [tex]sys[/tex] = - (- 8 j/k)
∴ ΔS [tex]sys[/tex] = +8 j/k
Hence , the entropy change is equal to +8 j/k .
What is entropy change?The degree of chaos present in a material, system, or universe is known as entropy.For gases, we can say that it is their energy, as the molecules move in all directions the more energetic they are. Entropy increases with temperature since it is inversely correlated with both. The entropy of each system varies as heat is transferred across boundaries separating a system from its environment or between two systems or entities. When heat is given off or released, entropy decreases.Can learn more about change in entropy from https://brainly.in/question/525552
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a measure of the useful energy produced divided by the amount of energy it takes to obtain it, is known as
The energy investment return is a calculation based on the usable energy generated divided by the energy required to create it (EROI).
What unit(s) does energy have?recognizing quads and BTUs. An energy content measurement known as a British Heat Unit (Btu) was typically used to represent overall energy of fuels. Energy is typically calculated in thousands of Btus due to the tiny size of a Btu.
Why are BTUs used to measure energy?Energy is typically calculated in millions of Tons of tnt due to the tiny size of a Btu. The energy needed to raise the temperature with one kilogram of water, which is equal to one pint, by one degree Fahrenheit, is measured in Btu. This is about the amount of heat that one match would emit.
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a majority of the asteroids are in approximately in circular orbits in a belt between mars and jupiter. do they have the same orbital period about the sun
Majority of the asteroids are in approximately in circular orbits in a belt between mars and Jupiter have nearly same orbital period about the sun.
The "asteroid belt," a flat, doughnut-shaped feature that lies between Mars and Jupiter in roughly the same orbital plane, is where the majority of asteroids are found. Mars orbits the sun at a mean distance of 228 million kilometers, while Jupiter orbits at a mean distance of 778 million kilometers. The belt spans a distance of 329,12 million to 478,71 million kilometers from the sun and is approximately 150 million kilometers wide. To distinguish it from Trojan asteroids, near-Earth asteroids, and other similar objects, this is referred to as the "main belt."
The majority of the asteroids in the Main Belt are composed of rock and stone, but a small number of them also contain the metals nickel and iron. These materials are combined with carbon-rich materials to form the remaining asteroids. Some of the farther-away asteroids typically have higher ice content. There is evidence that some asteroids may contain water, despite the fact that they are not big enough to support an atmosphere.
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Sally is building a list of the types of matter that have energy. She includes liquids on her list because she can see that liquids flow. Is her list complete?.
No, Sally's list is not complete. Matter can exist in four different states: solid, liquid, gas, and plasma. All four states of matter have energy and should be included in Sally's list.
What is energy?
Energy, which is observable in the work performed as well as in the form of heat and light, is indeed the quantitative property that's also transferred to a body or a physical system in physics. Energy is a conserved resource; according to the principle of conservation of mass, energy can only be transformed from one form to another and cannot be created or destroyed. The joule is the SI's (International System of Units) measuring unit for energy (J). The kinetic energy of the a moving object, this same potential energy held by an object (for example, due to its position inside a field), the elastic energy held in a fixed material, chemical energy linked to chemical reactions, and cosmic rays conducted by electromagnetic radiation are examples of common forms of energy.
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find the peak wavelength for radiation from (a) ice at 273 k, (b) a floodlamp at 3500 k, (c) outer-space at t
The peak wavelength for radiation from ice at 273 k is 1060 nm, a floodlamp at 3500 k is 828 nm, outer-space at t is [tex]10^{6}[/tex] nm.
Using displacement law, maximum wavelength is:
λ[tex]_{max}[/tex] = 2.898 × [tex]10^{3}[/tex] m.k / T
(a) (λ[tex]_{max}[/tex])[tex]_{ice}[/tex] = 1060 nm
(b) (λ[tex]_{max}[/tex])[tex]_{flood lamp}[/tex] = 828 nm
(c) (λ[tex]_{max}[/tex])[tex]_{outer space}[/tex] = [tex]10^{6}[/tex] nm
What is wavelength?
In physics, wavelength is the spatial period of a periodic wave, i.e. the distance over which the wave shape repeats. This is the distance between consecutive corresponding points of the same phase in the wave. A crest, trough, or zero-crossing of two adjacent waves, characteristic of both traveling and standing waves, and other spatial wave patterns. The reciprocal of wavelength is called spatial frequency. Wavelength is usually represented by the Greek letter lambda (λ). The term wavelength is also sometimes applied to the sinusoidal envelope of modulated waves and waves formed by interference of modulated waves or multiple sinusoids.
Assuming a sine wave traveling with constant wave velocity, the wavelength is inversely proportional to the frequency of the wave. Higher frequency waves have shorter wavelengths and lower frequency waves have longer wavelengths.
Therefore,
(a) (λ[tex]_{max}[/tex])[tex]_{ice}[/tex] = 1060 nm
(b) (λ[tex]_{max}[/tex])[tex]_{flood lamp}[/tex] = 828 nm
(c) (λ[tex]_{max}[/tex])[tex]_{outer space}[/tex] = [tex]10^{6}[/tex] nm
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How dose reinforcement affect behavior?
Answer:
Reinforcements effects behavior because when you enforce something rather good or bad it puts a picture in the persons mind weather they are doing something good or bad.
Explanation:
A solenoid that is 105 cm long has a radius of 2.83 cm and a winding of 1090 turns; it carries a current of 4.40 A. Calculate the magnitude of the magnetic field inside the solenoid.
The magnetic field inside the solenoid has a magnitude of 5.74*10^-3 T. A 105 cm long solenoid with 1090 turns of winding and a 2.83 cm radius.
The greatest size and direction of an object are referred to as its magnitude. Both vector and scalar values use magnitude as a common factor. We know that scalar quantities are those that have magnitude and nothing else by definition. An electric charge, an electric current, and magnetic materials are all affected magnetically by a magnetic field, which is a vector field. Is called as magnetic field.
Given: length l = 1,05 m,
radius r = 2,83*10-2 m,
number of revolutions N = 1090,
current I = 4,
B = 4*3.14*10^-7*1090*4.4/1.05
B = 5.74*10^-3 T is the magnetic field inside the solenoid.
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an electron is located between two charged plates, as shown in the diagram above. which statement below is not true? (a) the electric field of the plates is directed to the right. (b) the electric field of the plates has the same magnitude at all points between the plates. (c) the acceleration of the electron will be constant until it impacts one of the plates. (d) a uniform electric field exists between the plates.
When two charged, parallel plates have equal distributions of their opposing charges, they will produce an even electric field. Even so, the electric field is equal to zero if the plates have the same charge (positive or negative).
For a consistent electric field, the lines are vectors perpendicular to both plates. In other words, it has the same strength and direction throughout the entire space between the parallel conducting plates when there is an electric field E between two oppositely charged plates. No matter where the charge is placed between the plates, the force acting on it is the same. This is due to the even distribution of the electric field between the plates.
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match the type of electromagnetic radiation with the type of molecular motions or transitions that it causes. a) infrared rotational motion b) ultraviolet-visible light electronic transitions c) microwaves vibrational motion
a) Infrared - vibrational motion
b) Ultraviolet -electronic transitions
c) Microwaves - rotational motion
What are electromagnetic radiation?There are various types of electromagnetic radiation all around us, including radio waves, microwaves, X-rays, and gamma rays. The electromagnetic spectrum, which spans a wide range of wavelengths, includes visible light, which is also a type of electromagnetic energy.
In terms of reflection, refraction, diffraction, and interference, electromagnetic radiation shares characteristics with other types of waves. Additionally, its wavelength or the frequency with which it changes over time can be used to describe it. However, electromagnetic radiation also exhibits particle-like characteristics in addition to those connected to wave motion. It is quantized in that, at a particular frequency, its energy is represented by an integer multiplied by h, where h is the so-called Planck's constant, a basic constant of nature. A photon is an electromagnetic energy quantum. A stream of photons, with photon energy exactly proportional to frequency, can be thought of as electromagnetic radiation, including visible light.
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I understand that the question you are looking for is:
Match the type of electromagnetic radiation with the type of molecular motions or transitions that it causes:
a) infrared -rotational motion
b) ultraviolet- electronic transitions
c) microwaves- vibrational motion
A ball having mass M is struck by a bat having mass 9M. Compared to the magnitude of the force exerted by the bat on the ball, the magnitude of the force exerted by the ball on the bat is
The same
the amount of force the ball applies to the bat is very same.
What does force's magnitude mean?The numerical measure of a force's power is called its magnitude.For instance, let's say the force is 10 N in the direction of the east."towards east" denotes direction, while "10" denotes the force's magnitude. Magnitude is, in essence, the "value" or "amount" of any physical quantity.
How do I calculate magnitude?Given a location vector v=a,b, the magnitude is calculated using the
equivalent to the angle made with either the x- or y-axis.
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what potential difference between the plates will cause the thread to assume an angle of 30.0 ∘ with the vertical?
The thread will assume a 30° degree angle with the vertical due to the potential difference between the plates is 4.8 × 10¹¹ V.
What would be the potential difference?Potential difference is measured between two points on either side of a component because it is the amount of energy used in a circuit between two points. This is what we refer to as the potential difference calculated across a component.
Given,
The mass m = 1.5 g = 1.15×10⁻³ kg
The charge on the sphere q = 8.9×10⁻¹⁶ C
Plate spacing d = 5 cm = 5.00×10⁻²m
In the special case where the acceleration is zero, Newton's second law states that the force is proportional to the mass and the acceleration of the bodies and establishes the prerequisite for the equilibrium of the bodies.
∑ F = 0
where F is the force and the bold indicates the vector
To use this equation, a reference system must be fixed with respect to which the decomposition and measurements of the forces can be done. Let's fix a system with the horizontal x axis and the vertical y axis; in the attachment, I could see a free body diagram.
x- axis
Fe - Tₓ = 0
Fe = Tₓ
y-axis
Ty - W = 0
W = Ty
mg = Ty
The electric force is
Fe = qE = q V/d
let's use trigonometry to decompose the stress
cos 30 = Ty/ T
sin 30 = Tₓ / T
Ty = T cos 30
Tₓ = T sin 30
We substitute
q V / d = T sin 30mg = T cos 30It involves solving a set of equations
qV/dmg = tan30
V = dmg/q tan30
V = 5.00×10⁻²×1.15×10⁻³×9.8/8.9×10⁻¹⁶tan30
V = 4.768×10¹¹ V
In conclusion, we could determine that the electric potential is
V = 4.768×10¹¹V using the equilibrium condition.
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Complete question is "A small sphere with mass 1.5g hangs by a thread between two parallel vertical plates 5cm apart. The plates are insulating and have uniform surface charges densities Q and -Q. The charge on the sphere is q=8.9*10-16C. What potential difference between the plates will cause the thread to assume an angle of 30o with the vertical?".
serenity challenges carlos to come up with a way to use the double-slit experiment to determine the wavelength of monochromatic light. which response is correct?
The double slit experiment can be explained using the condition of the interference with which we can find the wavelength of the monochromatic light.
When waves gather, they can interfere constructively or destructively. To build a stable and well-defined interference pattern, two conditions must be met:
The wave source must be coherent. That is, they emit identical waves with a constant phase difference.
Waves should be monochromatic - they should have a single wavelength. Suppose we have two sources emitting the same wave in phase. Whether constructive or destructive interference occurs at points close to the source depends on the path length difference δ. This is the distance from the point to one source minus the distance from the point to the other source.
Conditions for constructive interference:
δ = mλ,
where m is any integer
λ is the wavelength of the light
Conditions for destructive interference:
δ = (m + 1/2) λ
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expressed in scientific notation, what is the supernova's distance in light-years? ly (f) now imagine that an interstellar dust cloud lies between us and sn 1994d. suppose that the peak apparent visual magnitude would have been 11.3 if the cloud were not absorbing some of its light. based on that unbiased value, what would the supernova's distance really be, in light-years? ly
The supernova is actually about 330 lightyears away.
Light 12 months, written instead of mild 12 months, is a gigantic unit of time used for certain astronomical distances, equivalent to about 9.46 trillion kilometers or 5.88 trillion miles.
A light year is a distance, not a time. This is the total distance a ray of light travels in a straight line in one year. Proxima Centauri is 4.2 light years away from Earth, a distance that would take about 6,300 years in the current generation. This kind of journey can span generations.
This duration is a big problem as it makes area exploration a very slow technique. I boarded the Gap Trip Discovery, which can travel at 5 miles per second, but it would take him about 37.2 centuries, or 12 months, to ride in a breezy year.
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how do sun and moon cause the ocean currents
The sun and moon cause ocean currents in several ways. First, the sun's heat causes the ocean water to expand and become less dense, which creates a rise in sea level. This rise in sea level creates a current that flows away from the equator and towards the poles.
Second, the moon's gravitational pull causes the oceans to bulge, creating tidal currents. These tidal currents can be very strong, and they cause the water to flow in circular patterns around the coasts.
Third, the moon's gravitational pull also causes the earth to rotate on its axis. This rotation creates a current called the Coriolis effect, which causes the ocean water to move in a circular pattern around the earth. This current helps to distribute heat and nutrients throughout the oceans.
Overall, the sun and moon cause ocean currents through their effects on sea level, tidal forces, and the earth's rotation.
Answer:
The sun warms up parts of the oceans. Warm waters rise just like warm air rises. So, as the warmer ocean waters begin to rise in a particular area, the cooler ocean waters from a different area will move in to replace the warmer ocean waters, and this creates our ocean currents.
a satellite moves in a stable circular orbit with speed vo at a distance r from the center of a planet. for this satellite to move in a stable circular orbit a distance 2r from the center of the planet, the speed of the satellite must be
If a satellite that moves in a stable circular orbit with speed vo at a distance r from the center of a planet, has a distance 2r from the center of the planet, the speed of the satellite is vo / √ 2
A satellite moves in a circular path due to gravitational force of the planet.
Fc = Fg
m vo² / r = G M m / r²
vo = √ ( G M / r )
M is the mass of the planet and r is the distance between center of the planet and the center of the satellite.
Here, the orbital distance is doubled from r to 2 r.
v = √ ( G M / 2 r )
v = 1 / √ 2 * ( √ G M / r )
v = vo / √ 2
Therefore, the speed of the satellite must be vo / √ 2
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where is the vast majority of mass in the solar system located? what object or objects account for most of this mass?
Since it comprises 99.85% of both the solar system's mass, the solar dominated the gravity influence of the solar system.
The 12 solar systems are what?The newest The Sun, our star, and everything gravitationally connected to it, including the planetary Mercury, Venus, Earth, Mars, Jupiter, Uranus, Saturn, as well as Neptune, dwarf planets like Pluto, dozens of moons, and thousands of asteroids, comets, and meteoroids, make up our solar system.
In the solar system, are there eight or nine planets?Our stellar system is made up of stars, 146 moons, countless comets, meteorites, and other space objects as well as ice on several dwarf planets, including Pluto. In the system, there is just the Sun. The eight planets are Mercury, Venus, Earth, Phobos, Jupiter, Saturn, Uranus, and Neptune. the separation between Mercury and the Sun. The furthest is Neptune.
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What happens during the carbon fixation stage of the calvin cycle (light-indepedent reactions)?.
One of the Calvin cycle's three phases is carbon fixation. The inorganic carbon atom is incorporated into the organic molecule during this process.
Describe carbon fixation.Carbon fixation is the process by which living things absorb inorganic carbon from the atmosphere and transform it into organic molecules. Chemical energy is stored in these molecules. The sustainability of life depends on this process.
The Calvin cycle of photosynthesis has a step called carbon fixation. At this point, the enzyme rubisco was used to link RuBP to the inorganic carbon atom, which had been fixed into the organic molecule.
Three carbons are fixed in this process for each turn of the light independent cycle. In this process, 3 carbons fix for each turn during the light independent cycle. Every three-carbon fixation leads to 6 3-PGA in end.
Thus, the carbon fixation is the process of the incorporation of the carbon atom to organic molecules.
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the energy released by the sun is the result of a) natural radioactivity. d) photosynthesis. b) nuclear fusion. e) nuclear fission. c) combustion of hydrogen.
The energy released by the sun is the result of nuclear fusion.
Is the Sun nuclear fission or fusion?Helium is being created from hydrogen in the Sun's core. Nuclear fusion is the term for this. Each helium atom is created by the fusion of four hydrogen atoms. A portion of the mass is changed into energy during the process.The Sun is made up many layers, each with its own characteristics, that are around 75% hydrogen and 25% helium by mass. In a nutshell, the Sun is a huge ball of gas that is sufficiently hot to light at every level. The Sun's core, which is the region closest to its surface, has a temperature of around 15 million Kelvins, a density 150 times that of water, and a pressure more than 200 billion times greater than Earth's atmosphere.Learn more about nuclear fusion refer to :
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a car traveling at 15 m/s slams on its brakes and the wheels lock. the car comes to rest after skidding 20 m. determine how far the car would skid if the car had been traveling, instead, at 45 m/s.
The car will skid to a distance of 180 m.
How do you calculate skid distance?S = ~30d(I.O) (dry tar road) (dry tar road). The formula is S = 30d(0.5) for a wet tar road, where f is around 0.5. (wet tar road). speed in relation to how long the skid marks are.The route taken by a body to travel from a starting point to an ending point in a predetermined amount of time and at a predetermined speed is known as the distance travelled. Distance is equal to time times velocity if the velocity is constant. d = v*t.In other words, an automobile moving at 10 miles per hour may need to stop in 4 feet, while a car travelling at 20 miles per hour would need to stop in 16 feet, which is four times as far. The stopping distance is quadrupled for every speed increase.Find the attachment answer
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draw the process and control scheme for this system if a constraint controller is used, such that when the smaller of two parallel control valves reached 100%, then the controller output is routed
Technique controllers keep the output of manner variables together with temperature, pressure, glide, or stage within a pre-set variety.
Manner controllers maintain the output of machine variables together with temperature, strain, glide, or degree inner a pre-set variety. They use feedback from sensors to discover any deviation from a setpoint and automatically alter output until parameters are again inside variety.
The challenge of a constraint control scheme is to push a target variable as a ways as viable in the preferred course. With distinctive phrases, The purpose variable shall obtain is relying on the goal most or minimal rate without violating some other boundaries.
Constraints are used to restrict the form of data which can go right into a table. This guarantees the accuracy and reliability of the data inside the desk. If there can be any violation among the constraint and the facts motion, the movement is aborted. Constraints may be column degree or table stage.
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juana accidentally touched a hot iron. she immediately drew back her hand. which of the following is true about the withdrawal of her hand?
It happened because of her nervous system, which was initiated in the spinal cord.
What is a Nervous system?
The body's primary communication, controlling, and governing system. The nervous system is in charge of controlling and upholding homeostasis, together with the endocrine system. This system helps us to maintain in touch with our environment, both internal and external, through its receptors. The brain, spinal cord, nerves, and ganglia are the main organs that make up the nervous system.
What is the Spinal cord?
The spinal cord, which connects the medulla oblongata in the brainstem to the lumbar portion of the vertebral column, is a long, thin, tubular tube consisting of nerve tissue. The cerebrospinal fluid-filled core canal of the spinal cord is enclosed by the backbone. The central nervous system is made up of the brain and spinal cord. In humans, the spinal cord starts at the base of the skull and travels via the foramen magnum before entering the spinal canal at the first cervical vertebra. Between the first and second lumbar vertebrae, the spinal cord comes to a stop.
Hence, it was initiated in the spinal cord.
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a 10-m uniform beam weighing 100 n is supported by two vertical ropes at its ends. if a 400-n person sits at a point 2.0 m from the left end of the beam, what is the tension in each rope?
The tension in each rope is T₁ is 130 N, T₂ is 370 N.
In order for the system to be at rest, the sum of all the forces must be zero and the torque around a point on the beam must be zero.
Let the tension in the rope 1 T₁ and in rope 2 T₂:
m*a = T₁ + T₂ -100 -400 = 0
T₁ + T₂ = 500 -------(1)
Torque around the centre point of the beam is:
τ = r × F = 5* T₁ + 3*400 - 5* T₂ = 0
T₁ - T₂ = -240 ------(2)
Solving (1) and (2), we have
T₁ = 130 N and T₂ = 370 N
Thus, the tension in rope 1 is 130N and the tension in rope 2 is 370 N.
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what is the lift (in newtons) due to bernoulli's principle on a wing of area 89 m2 if the air passes over the top and bottom surfaces at speeds of 260 m/s and 180 m/s , respectively?
Bernoulli's principle predicts that a wing with an area of 89 m² will experience a lift of 2020656 N when air moves over its top and bottom surface with velocities aircraft 260 m/s and 180 m/s, respectively.
Why is the Bernoulli principle crucial?Engineers can use Bernoulli's Principle to safely engineer the fluid flow within and around airplanes, engines, and healthcare delivery devices by making sense of a fluid dynamics phenomenon. Bernoulli's principle, a fundamental idea in fluid dynamics, connects a fluid's pressure to its speed.
Briefing:According to the Bernoulli's principle, the determined based expresses force:
[tex]P_{1} + \frac{1}{2}p(v_{1})^{2} = P_{2} + \frac{1}{2}p(v_{2})^{2}[/tex]
[tex]P_{1} - P_{2}[/tex] = (0.5) (1.29) (260)² - (0.5) (1.29) (180)²
P₁ - P₂ = 22704
F = PA = (22704) (89)
F = 2020656 N
A wingspan with either an area measuring 89 m² has a load of 2020656 N as a result.
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if the rotational speed of a cd changes from 475 rpm to 200 rpm as it plays 30 minutes of music, what is the cd's average rotational acceleration?
The duration of a CD is 59.8 minutes. The CD is rotating angularly at 460 revolutions per minute when the music begins (rpm).
The temporal rate at which angular velocity changes is known as angular acceleration. The standard unit of measurement is radians per second per second. Therefore, = d d t. Rotational acceleration is another name for angular acceleration. After the music has finished, the CD is spinning at 202 rpm. The beginning angular velocity was 460rpm/60*2*Pi, which equals 48.17rad/s. The end angular velocity was 202rpm/60*2*Pi, which equals 21.15rad/s. The time in s was 59.8min*60, which equals 3588s. The angular acceleration was (21.15 - 48.17)/3588.
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how much electrical energy does a small heating coil use if it runs for 5 minutes using a 12 volt power supply that provides 2.5 amperes of current?
691.2 W electrical energy does a small heating coil use if it runs for 5 minutes using a 12-volt power supply that provides 2.5 amperes of current.
What is power?
Power refers to the rate at which a work is completed. It can also be defined as the total amount of energy expended in a given period of time. Power is measured in Watt (W).
What is energy?
It is the ability of a system to do work. It is measured Joule (J).
When the work done is said to be one joule?
Work done is said to be one joule when a 1 N of force is applied on an object, and the object moves by 1 m because of the force.
The formulae for power can be expressed as follows
P = [tex]V^{2}R[/tex]
R = [tex]\frac{V}{I}[/tex]
As per the question,
V = 12 V, I = 2.5 A
Therefore,
R = [tex]\frac{12}{2.5}[/tex] = 4.8
Now,
P = 12 x 12 x 4.8 = 691.2 W
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Set the transmitter movement to oscillate, field display type to curve with vectors, and radiated fields. Describewhat is happening in the transmitter and the receiver. As the transmitter moves up the receiver moves down opposite of the moment of the wave. In the transmitter theelectrons rotate up and down and have a larger range.
When the transmitter is set to have movement to oscillate, field display type to curve with vectors, and radiated fields, the oscillations in the transmitter are greater in amplitude than in the receiver.
The above problem is related to the electromagnetic charges caused by oscillating charges, To cause an electromagnetic wave to start to propagate, we must cause a time-changing electromagnetic field. If we have a single charge that can move up or down and it is found at point on the z-axis, at that point the electric field is strongest close and weaker close . If the object is moved to a position , then the electric field gets to be more grounded close and weaker close . Hence, by moving the charge between two areas, adjoining areas encounter a time-changing electric field. Moreover, a magnetic field is made from the moving charge. Accelerating and decelerating the charge to move it Just as swaying charges make electromagnetic areas, electromagnetic fields can moreover cause charges to sway when they proliferate by those charges. Charges being moved by electromagnetic areas are the material science behind a receiving antenna. The movement of the charges caused by the electromagnetic field actuates a current, which can be utilized to sense the passing electromagnetic field.
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1.
A larger number is 5 times a smaller number.
The smaller number is 11.
What is the difference between the two numbers?
Larger
Smaller
The difference between the two numbers is
The difference between the two numbers is 44, because a larger number is 5 times a smaller number, and a smaller number is 11.
What are numbers?
An arithmetic value used to indicate amount is called a number. A number is a mathematical concept that is used for counting, measuring, and labelling. Thus, mathematics is built on numbers.
What is the difference?
The outcome of a crucial mathematical operation is reached by taking two numbers away. It reveals how much one number deviates from another. Mathematical difference finding is used to determine how many numbers are between two supplied numbers.
Calculations:- Let, a larger number be = [tex]x[/tex]
Smaller number is = [tex]11[/tex] (given)
A larger number is 5[tex]x[/tex] = 11
A larger number is 55 (because of 5 times the smaller number).
Difference = 55-11 (larger number - smaller number) = 44.
The difference is 44.
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