The magnitude of the magnetic field at the center of the loop is 3.31 x 10⁻⁶ T.
What is the magnitude of the magnetic field?The magnetic field is the region of space around which the influence an magnetic force is felt.
Mathematically, the formula for magnetic field at the center of a loop is given as;
B = μ₀I / 2r
where;
μ₀ is permeability of free spaceI is the currentr is the radius of the wireThe magnitude of the magnetic field at the center of the loop is calculated as;
B = ( 4π x 10⁻⁷ x 0.58 ) / ( 2 x 0.11 )
B = 3.31 x 10⁻⁶ T
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This painting represents the Milky Way Galaxy as it would appear edge-on from a distance. Label the indicated features; be sure to pay attention to where the leader lines are pointir Drag the labels to the appropriate blanks on the diagram. You may use a label more than once. View Available Hint(s) Reset Help bulge globulan clusters halo disk
The indicated features from top to bottom:
spiral armbulgediskIt is called a spiral galaxy because it looks like a spinning windmill when viewed from above or below. The Sun is in one of the spiral arms about 25,000 light-years away from the center of the galaxy.
Our solar system is in a galaxy called the Milky Way which is tightly packed with 100 to 400 billion other stars many of which have planets of their own. The Milky Way got its name because it looks like a stream of spilled milk across the sky. An elliptical galaxy is a type of galaxy with an almost featureless image that is nearly elliptical and smooth.
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A certain force 1 gives an object an acceleration of 6×10^6 m. Another force F2 gives the same object an acceleration of 15×10^6 m. What is the acceleration of the object if the two forces act on the object at 90°to each other?
The total acceleration of the object is 3×10^6 m/s.
To find the total acceleration, we can use the Pythagorean Theorem, which states that the square of the hypotenuse of a right triangle (c) is equal to the sum of the squares of the other two sides (a and b). In this case, the magnitudes of the two accelerations (a and b) are 6×10^6 m/s^2 and 15×10^6 m/s^2, respectively.
Therefore, we can use the formula a^2 + b^2 = c^2 to find the magnitude of the total acceleration:
6×10^6 m/s^2 + 15×10^6 m/s^2 = c^2
c = sqrt(6×10^6 m/s^2 + 15×10^6 m/s^2)
= sqrt(21×10^6 m/s^2)
= 3×10^6 m/s
So, the total acceleration of the object is 3×10^6 m/s. This is the result of the two forces acting on the object at 90 degrees to each other.
The total acceleration of the object is 3×10^6 m/s.
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Answer:
1.5x10⁷ m/s²
Explanation:
Acceleration is a vector, so this is a case of vector addition. Let R = resultant vector.
R² = a-F₁² + a-F₂²
R = √(6x10⁶)² + (15x10⁶)²
R = √2.25x10¹⁴ = 1.5x10⁷ m/s²
Calculate the average discharge of the Mississippi River at New Orleans (in cubic feet per second) given the following parameters: (show your work) • Average velocity: 2.5 miles per hour Average width: 2,000 feet Average depth: 90 feet Discharge = velocity (ft/sec) x river width (ft) x river depth (ft) *Remember, you will need to convert miles-per-hour to feet-per-second to obtain the proper units for discharge (ft/sec). There are 5,280 feet in a mile. 531 words English (United States) Focus -
The average discharge of the Mississippi River at New Orleans (in cubic feet per second) is 657000 cubic feet per second
Given the average velocity (v) = 2.5miles per hour
Average width of river (w) = 2,000 feet
Average depth of river (d) = 90 feet
Discharge (D) = velocity (ft/sec) x river width (ft) x river depth (ft)
Given 1 mile = 5280ft and 1 hour = 3600 sec
1 mile/hour = 5280/3600 = 1.46ft/sec
2.5 miles per hour = 2.5x1.46 = 3.65ft/sec
D = 3.65X2000X90 = 657000 ft^3/sec
Hence the discharge of the Mississippi River is 657000 ft^3/sec
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a friend of yours is loudly singing a single note at 386 hz while racing toward you at 23.9 m/s on a day when the speed of sound is 347 m/s .
He hears a frequency of 413.02 Hz, and your friend hears a frequency of 409.16 Hz if you start singing at 386.
What is speed, and what is the scientific term for it?Speed refers to the rate with which a distance varies over time. There is some degree of temporal separation. As a result, a SI unit representing speed is created by fusing the foundational unit of time with the fundamental part of distance. As a result, it appears that the Si-derived metric of speed is the meter per second.
Briefing:n' = n ( V - V₀ ) / ( V - V s)
where V is indeed the sound's velocity.
V₀ is the velocity of observer
Vs is the velocity of source
a) n' = 386 * ( 347 ) /( 347 - 23.9 ) = 413.02 Hz
b) n' = 386 * ( 347 +23.9 ) /(347 ) = 409.16 Hz
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The complete question is-
A friend of yours is loudly singing a single note at 386 Hz while racing toward you at 23.9 m/s on a day when the speed of sound is 347 m/s.
Part A: What frequency do you hear?
Part B: What frequency does your friend hear if you suddenly start singing at 386 ?
A variety of natural processes can affect Earth's atmospheric temperature in a relatively short period of time. Which of the following would contribute to an overall cooling of Earth's atmospheric temperature?
Increasing the albedo of the Earth's surface & increasing the abundance of volcanic aerosols, contribute to an overall cooling of Earth's atmospheric temperature. Correct answer: letters B y D.
Because, the increased albedo of the Earth's surface helps reflect more incoming solar radiation back into space, which reduces the amount of solar energy absorbed by the atmosphere. Volcanic aerosols also help cool the atmosphere by reflecting incoming solar radiation and blocking some of the outgoing longwave infrared radiation emitted by the Earth's surface.
The Role of Albedo and Volcanic Aerosols in Cooling Earth's Atmospheric TemperatureThe albedo of the Earth's surface is a measure of how much of the sun's energy is reflected back into space. Increasing the albedo of the Earth's surface can be achieved through various methods, such as planting more reflective vegetation and reducing the amount of dark pavement and buildings.
Volcanic aerosols can also contribute to cooling the Earth's atmosphere. When a volcano erupts, it releases large amounts of ash and other particles into the atmosphere. These particles can scatter and absorb the sun's energy, reducing the amount of energy that reaches the Earth's surface.
Additionally, these particles can act as cloud condensation nuclei, increasing the amount of clouds in the atmosphere. These clouds can act as a blanket, reflecting more of the sun's energy back into space and further cooling the atmosphere.
A variety of natural processes can affect Earth's atmospheric temperature in a relatively short period of time. Which of the following would contribute to an overall cooling of Earth's atmospheric temperature?
Choose one or more:
A. Increasing the abundance of methane in the atmosphere
B. Increasing the albedo of the Earth's surface
C. Increasing the abundance of carbon dioxide in the atmosphere
D. Increasing the abundance of volcanic aerosols
E. Increasing the abundance of sunspots
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find the sae's for the assigned nodal voltages. solve for the nodal voltages. round answer to 2 decimal places, add 0's as needed. express magnitude as positive number and angle between . ±180∘.
v1 = ∠ ∘ V
v2 = ∠ ∘ V
v3 = ∠ ∘ V
An express magnitude is a positive number and angle between. ±180∘. v1 = ∠ ∘ V.
Nodal stress analysis complements the previous mesh analysis in that it is equally powerful and based on the same concepts as matrix analysis. As the name suggests, node voltage analysis uses Kirchhoff's first law node equation to find the voltage potential around a circuit.
When we use the term node voltage, we are referring to the potential difference between two nodes in a circuit. Select one of the nodes in your circuit as the reference node. All other node voltages are measured with respect to this one reference node.
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if you are charged with speeding 25 mph or more over the speed limit or at a speed 95 mph or greater
A Class B misdemeanor is committed when a driver exceeds the speed limit by twenty-six (26) to thirty-four (34) miles per hour. Court supervision is an option for sentences.
For a breach of this offence, you may receive a sentence of conditional release, probation, or up to two (2) years of court supervision. a misdemeanor that carries a fine or brief jail sentence as punishment. Common crimes like moving offences are typically adjudicated amicably, without a trial. The New Dictionary of Cultural Literacy, Third Edition Copyright by Houghton Mifflin Harcourt Publishing Company. (felony.) Aggressive driving practice's include speed. The general growth in aggressive driving has been attributed to a number of issues, with traffic congestion being one of the most commonly cited.
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The complete question is -
if you are charged with speeding 25 mph or more over the speed limit or at a speed 95 mph or greater. Which is committed when a driver exceeds the speed limit.
a mass m at the end of a spring oscillates with a frequency of 0.78 hz . when an additional 730 g mass is added to m, the frequency is 0.65 hz . What is the value of m?
The value of mass m = 0.506kg
Initial frequency = 0.78Hz
additional mass = 730 g = 0.73kg
New frequency = 0.65 Hz
F = 1/2π [tex]\sqrt{x\\}k/m[/tex]
0.78 = 1/2π [tex]\sqrt{k/m}[/tex]
additional mass,
0.65 = 1/2π [tex]\sqrt{k/m+0.65}[/tex]
1.44 = k/m / k/m+0.73
1.44 = m+0.73 / m
1.44m -m = 0.73
1.44m = 0.73
mass m = 0.506kg
a measurement used in physics to express the inertia, a quality that all matter has in common. Effectively, it is the resistance a body of matter offers to a change in its speed or position as a result of the application of a force. The change caused by an applied force is proportional to the mass of the body. The kilograms is the measure of mass in the International System of Units (SI). Its definition is based on the Planck constant, which is set at 6.62607015 1034 joule second. The unit of energy known as a joule is one kilogramme times one square metre per second. The kilogramme is determined by precise measurements of Planck's constant, while the second and metre are already defined in terms of other physical constants.
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the predictions of special relativity can sound implausible at first. which of the following provide observational evidence that the theory is correct? the predictions of special relativity can sound implausible at first. which of the following provide observational evidence that the theory is correct? subatomic particles in accelerators exhibit effects of time dilation and mass increase at high speeds. time dilation can be observed in airplanes. light is always observed to travel at the same speed. all of the above are correct.
All of the given options are correct:
Subatomic particles in accelerators exhibit effects of time dilation and mass increase at high speeds.Light is always observed to travel at the same speed.Time dilation can be observed in airplanes.The special theory of relativity or special relativity is a physical theory which states the relationship between space and time. This is often termed as STR theory. Special theory of relativity is based on two postulates –
Laws of Physics are invariant: The states of changed physical systems are not affected, whether these changes of state be referred to the one or the other of two systems in uniform translatory motion relative to each other.The Principle of Invariant Light Speed :Light is always propagated in empty space with a definite velocity c which is independent of the state of motion of the emitting body.In relative theory, reference frames play a vital role. It is used to measure a time of events by using a clock. An event is nothing but an occurrence that refers to a location in space corresponding to the reference frame. For instance, the explosion of a fire flower can be considered as an event.
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The velocity, , of an object that falls freely due to the Earth gravity can be modeled with the equation: m dv/dt = -mg + kv^2
where m is the mass of the object, g = 9.81 m/s^2, and k is a constant. Solve the equation for v for the case that m = 5 kg, k = 0.05 kg/m, 0
V=√1962 tan h (-√1962t/100) is the velocity of the object that is falling freely due to earth's gravity.
What is Newton second law of motion?The second law states that the acceleration of an object is dependent upon two variables - the net force acting upon the object and the mass of the object.
According to Newton's second law of motion,
mdv/dt= -mg+kv²
Calculation:mdv/dt=-mg+kv²
5dv/dt=-10g+0.05v²
dv/dt=-2×9.81×0.01v²
dev/dt=0.01v²-19.62
-1/19.62 dv/dt =1-v²/1962
-1/19.62 ∫dv/1-v²/1962=∫dt
√1962 Tanh∧-1 (v/√1962)=-19.62t
Tanh∧-1(v/√1962)=-√1962/100 t
v=√1962 Tan h∧-1 (-√1962t/100)
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xl and xc can be combined to favor one particular frequency, the resonant frequency to which the lc circuit is tuned quizledt
It will give resonant frequency when [tex]X_{c}= X_{l}[/tex].
The frequency on which Inductive Reactance ([tex]X_{l}[/tex]) and Capacitive Reactance([tex]X_{c}[/tex]) becomes equals that is called Resonant Frequency. Resonance Effect is also called tuning effect.An LC circuit, also known as a tank circuit, a tuned circuit, or a resonant circuit, is an electric circuit that consists of a capacitor marked by the letter “C” and an inductor signified by the letter “L.”These circuits are used to generate signals at a specific frequency or to accept a signal from a more complex signal at a specific frequency.LC circuits are basic electronics components found in a wide range of electronic devices, particularly radio equipment, where they are employed in circuits such as tuners, filters, frequency mixers, and oscillators. The basic purpose of an LC circuit is to oscillate with the least amount of damping possible.To know more about circuits visit:
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Which factors affect the gravitational force between two objects distance and velocity mass and distance mass and weight?; What factors affect the gravitational force between two objects?; How are gravitational forces affected by distance between and masses of two objects?; Does mass affect gravity?
How much gravitational attraction there is between two objects depends on their masses and distance from one another. The relationship between an object's mass its gravitational pull is inverse.
Exactly what does gravitational force mean?The attraction that the earth has over a body is known as the gravitational force. Examples of motion brought on by gravity influence include the downhill motion of water in streams and streams, upward and motion of things that are thrown, like balls, and also the downward motion of fruit and leaf falling to the ground.
Why do you use the word gravitational?The gravitational force, generally known as gravity, affects every material object in the universe. Any two separate mass objects or particles will gravitate toward one another due to the force of gravity. Gravity affects things of all sizes, including galaxy clusters and subatomic particles.
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What happens when light rays pass from air to water?; What is the bending of light rays due to a change in?
When light rays enters from air to water, its speed decreases. It bends towards the normal.
Refraction is the bending of light because of a change in medium. There may be two ways of bending light- towards the normal or away from the normal.
Optical density is the concept that determines the way the light will bend while changing the medium. A medium in which the speed of light is less is called an optically denser medium, and a medium in which the speed of light is more is called an optically rarer medium.
When light enters from an optically rarer medium to an optically denser medium, its speed decreases, and it bends toward the normal. When light enters from an optically denser medium to an optically rarer medium, its speed increases, and it bends away from the normal.
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looking at waves a and b. which description correctly describes the waves?; which example is not a part of the electromagnetic spectrum?
Electromagnetic waves are transverse waves composed by the perpendicular oscillating electric and magnetic fields.
EM waves have both Electrical and magnetic features.
they travel in the velocity of light (3*10⁸ ms⁻¹)
Electromagnetic spectrum is obtained according to their wave length and the frequency. Due to wave length range it's categorized. Here is the decreasing order of wave length and increasing order of different wave types in electromagnetic spectrum
Examples,
Radio WaveMicro WaveIR waveLight WaveUV raysX raysGamma raysCosmic raysWhen electromagnetic radiation interacts with single atoms and molecule, its behavior also depends on the amount of energy per quantum(photon)it carries wave number =1/wavelength in cm speed of light=wavelength x frequency energy = Planck's constant x frequency.
Therefore, electromagnetic spectrum depends on wavelength and frequency
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If the bond energies of X2 and C-X are 151.9 kJ and 2763 kJ, respectively, and the bond energies of C-C and C-c are 338 kJ and 604 kJ, respectively, give an estimate of AE for the reaction below: C2H4 + X2 => c2H4X2 (in kJ). (Enter your answer as the nearest whole number without units)
= [ 4 (C-H) + 1 (C=C) + 1 (X2) ] - [ 2 (C-X) + 1 + (C-C) + 4 (C-H)
= [ (C=C) +(X2) ] - [ 2 (C-X) + 1 (C-C) ]
= [ 604 +151.9 ] - [ 2 (276.3) + (338)]
= -134.7 KJ
= -135 KJ
Bond energies depend on the number of bonds between atoms. Even though π bonds are weaker than σ bonds, a double bond, which consists of a σ and π is bond, is stronger than a single bond because there are bonds.
A quantity of strength, equal to the distinction among the energies of the Bond energies depend on the number of bonds between atoms. Atoms and the energies of the separated atoms, is released, usually as warmness. that is, the bonded atoms have a lower strength than the character atoms do.
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_________ is The process of obtaining a spectrum and reading the information it contains
Spectroscopy is the process of obtaining a spectrum and reading the information it contains.
What is spectroscopy?
Spectroscopy is the study of how light and other radiation are absorbed and emitted by materials, and how this depends on the wavelength of the radiation. The study of interactions between particles like electrons, protons, and ions as well as their interactions with other particles as a function of their collision energy has been added to the term more recently. The most fundamental physics theories, such as quantum mechanics, the special and general theories of relativity, and quantum electrodynamics, have all benefited greatly by spectroscopic analysis. Scientific comprehension of the electromagnetic force as well as the strong and weak nuclear forces has been greatly aided by the use of spectroscopy in high-energy collisions.
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based on this passage, which of the following might be true about the early history of modern physics? select it had a very practical component select it was uninteresting to most people select none of these select it was often combined with many topics studied in philosophy select it was underdeveloped and primitive
True statement about the early history of modern physics is option A: it had a very practical component.
The early history of physics could explain everything out of others, thus it had a practical component. The minds of almost all thinkers are left with the patterns of scientific reasoning and apotheosis in modern physics. From the time of the early renaissance to the nineteenth century, physics represented the ultimate expression of scientific investigation for almost all thinkers. The unchanging principles of all motion and life on earth are being derived from its static laws. By the nineteenth century, it seemed that most of science had already been "cleared up," and only a few remaining details remained.
This cosmology was overthrown by the idea of a universal morphing of kinds, which completely altered it. The very view of science held by most people was among the things that had to change in light of Darwin’s work.
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When block is placed on a wedge as shown in figure, the block starts sliding down and the wedge also starts sliding on ground. All surfaces are rough. The centre of mass of (wedge + block) system will move
A. leftward and downward
B. rightward and downward
C. leftward and upwards
D. only downward
Rightward and downwards. option B is the correct answer
Internal friction between the wedge and the block means that it won't affect the center of mass' motion. The external friction force exerted on the wedge by the ground causes the center of mass to shift to the right. The center of mass of a block moves downward due to the gravitational force (mg) acting on it.
Frictional Force:
When surfaces of two objects come into contact, the force called friction is what stops motion. In other words, friction weakens a machine's mechanical advantage and decreases the output to input ratio. In a car, reducing friction requires one-fourth of the energy required. Friction in the clutch and tires, however, also has an impact on how well the car can maintain its place on the road. One of the most significant occurrences in the physical universe is friction, a phenomenon that affects everything from machines to molecular structures to matches.
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a tenn watt heater is used to monatomic ideal gas at a constant pressure of during the process teh volum of gas increases by 23
According to the First law of Thermodynamics, the fraction of heat energy required is 3/5, for monoatomic ideal gas.
What is Ideal gas?An ideal gas is one in which there are no intermolecular attraction forces and all collisions between atoms or molecules are entirely elastic. Three state variables—absolute pressure (P), volume (V), and absolute temperature—can be used to describe an ideal gas (T). Kinetic theory can be used to infer their connection.
What is Thermodynamics?Thermodynamics is the study of changes that take place in a region of the universe that we refer to as the system; the rest of the universe is referred to as the surroundings. The system may be cut off from its environment by a physical or conceptual border.
Calculations:
The percentage of the heat energy given that raises the internal energy of an ideal monoatomic gas when it is heated at constant pressure is:
By the first law of thermodynamics
Q=U+W = f/2nRT+P∫dV= f/2nRT+PV
or Q= f/2nRT+nRT(∵PV=nRT)
= 3/2nRT+nRT= 5/2nRT
∴ Fraction of heat energy supplied = U/Q=
(3/2)nRT/(5/2)nRT = 3/5.
Hence, according to the First law of Thermodynamics, the fraction of heat energy required is 3/5, for monoatomic ideal gas.
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You are asked to find the index of refraction for an unknown fluid, using only a laser and a Michelson interferometer. A Michelson interferometer consists of two arms--paths that light travels down, which end in mirrors--attached around a beam splitter. (Figure 1)The beam splitter separates the incoming light into two separate beams and then recombines them once they return from the ends of the arms. The recombined beams are sent to a telescope, where their interference pattern may be observed in detail.
Part A
Part complete
First, you must find the wavelength of the laser. You shine the laser into the interferometer and then move one of the mirrors until you have counted 100.0 fringes passing the crosshairs of the telescope. The extremely accurate micrometer shows that you have moved the mirror by 0.03164 millimeters. What is the wavelength λ of the laser?
Express your answer in nanometers, to four significant figures.
Part B
You now immerse the interferometer in a tank filled with some unknown liquid and carefully align the laser into the interferometer. You move the mirror until you count 100.0 fringes passing the crosshairs of the telescope. The micrometer indicates that the mirror has moved 0.02381 millimeters. What is the index of refraction for this mystery fluid?
Express your answer to four significant figures.
The wavelength λ of the laser is 632.8 nm and the index of refraction for this mystery fluid is 1.329.
What is wavelength and index of refraction?Refraction can change the wavelength of light or sound as it travels through a medium with a density greater than that of air. The wavelength reduces as a result of the wave's decreasing speed as it moves through the denser medium. If the wave travels faster when in a rarer medium, the wavelength rises. Because the speed and, consequently, the wavelength of the wave are lowered while traveling through the denser media, the index of refraction is greater for the denser medium than the rarer one.
An interferometer is a device that employs the interference phenomena to calculate the wavelength of light in terms of a standard length or the distance in terms of the wavelength of light that is already known. Through partial reflection and transmission, light from an extended source is split into two halves. The two directions in which these two beams are transmitted are at right angles to one another. They are noticed and studied as interference fringes that are created when they are reflected off the mirror.The angle between mirrors M1 and M2 determines how the fringes in the Michelson interferometer are shaped. Let S' be the replica of the source S, and let M2 be the virtual replica of mirror M1.Let D represent the distance between the mirror M1 and its virtual counterpart, M2'. As a result, the air film that is enclosed between M1 and M2' is what will cause the interference pattern to appear. Let S1' and S2' represent the respective Saras M1 and M2's photos.As a result of the amplitude division process, we are able to produce two coherent sources, S1' and S2'.
A)
2D = nλ
2 x 0.03164 x 10^-3 = 100 x λ
Wavelength, λ = 632.8 nm
B)
2D = n λ
2 x 0.02381 x 10^-3 = 100 λ
Wavelength,λ = 476.2 nm
Refractive index =λ₁/λ₂
Thus,
Refractive index = 632.8/476.2 = 1.329
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when striking, the pike, a predatory fish, can accelerate from rest to a speed of 4.0 m/s in 0.14 s .
The acceleration of the predatory fish is 28.57 m/s².
What is the acceleration of predatory fish?
The acceleration of the predatory fish is the rate of change of velocity of the predatory fish with time.
Mathematically, the formula for acceleration is given as;
a = Δv / Δt
where;
Δv is the change in velocity of the predatory fishΔt is the change in time of motion of the predatory fishThe given parameters include the following;
the change in velocity of the predatory fish = 4 m/sthe change in time of motion of the predatory fish = 0.14 sa = (4 m/s) / (0.14 s)
a = 28.57 m/s²
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The complete question is below:
when striking, the pike, a predatory fish, can accelerate from rest to a speed of 4.0 m/s in 0.14 s . find the acceleration?
a student initally stands on a circular platform that is free to rotate without friction about its center. The student jumps off tangentially, setting the platform spinning. Quantities that are conserved for the student-platform system as the student jumps include which of the following? I. Angular momentum II. Linear momentum III. Kinetic energy
The angular momentum is conserved in the conditions.
• A student initially stands on a circular platform and that is free to rotate without friction about its center. The student jumps off tangentially, setting the platform spinning the angular momentum will be conserved because both the angular momentum and linear momentum are vectors, the direction must be considered. As in the given question, the direction of the linear momentum is constantly changing as the circular platform is rotating, and the direction of the angular momentum is always the same.
• That's why the linear momentum changes but the angular momentum does not.
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4. The bar has a mass of 10 kg and is subjected to a couple moment of M=50 N·m and a force of P=80 N, which is always applied perpendicular to the end of the bar. The stiffness of spring is k=30 N/m and its free length is 0.5 m. The spring remains in the vertical position due to the roller guide at B. Determine the total work done by all the force acting on the bar when it has rotated downward from (=0( to 90 (. (15 points)
The total work done by all the force acting on the bar when it has rotated downward from 0 to 90° is 4500 N·m.
Solving for total work done:The total work done by all the forces acting on the bar can be calculated using the equation for work done by a torque and a spring force.
m = 10 kg
M= 50 N·m
P=80 N
k=30 N/m
x₀ = 0.5 m
θ = 90°
The work done by the torque is given by:
work_torque = M * θ
where,
M= the couple moment
θ = theta is the angle of rotation (90 degrees).
The work done by the spring force is given by:
work_spring = 1/2 * k * (x² - x₀²)
where,
k = the spring constant
x = the displacement of the spring
x₀ = the free length of the spring.
Since the spring is in a vertical position due to the roller guide at B, it will not displace and x=x₀=0.5m, and no work done by spring force.
Therefore, the total work done by all the forces acting on the bar is:
work_total = work_torque
M * θ = 50 N·m * 90 degrees
= 4500 N·m
Hence, the total work done by all the force acting on the bar is 4500 N·m when it has rotated downward from 0 to 90°.
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A rabid 3kg racoon accelerates uniformly from rest to a speed of 14m/s in 0.45 seconds. Find the
average acceleration of the racoon.
Answer: 31.1 m/s²
Explanation:
avg. accel. = (Vfinal - Vinitial) / Δt
Vfinal = 14 m/s
Vinitial = 0 m/s
Δt = 0.45 s
avg. accel. = (14 m/s - 0 m/s)/0.45 s = 31.1 m/s²
a piston presses down on a sealed cylinder filled with gas until the gas occupies a space that is half as big as before. as a result, the pressure on the gas is
A piston presses down on a sealed cylinder filled with gas until the gas occupies a space that is half as big as before. as a result, the pressure on the gas becomes doubled.
When the piston is pushed down in a cylinder filled with gas What happens to the volume of the gas inside?
When the pressure on the piston is doubled, it moves down until the pressure exerted by the gas equals the pressure exerted by the piston. At this point, the volume of the gas is halved. If the pressure on the piston is again doubled, the volume of gas decreases to one-fourth of its original volume.
What happens to the pressure in a sealed container if the amount of gas in the container increases?
Pressure increases.
Why does the pressure inside a container of gas increase if more gas is added to the container?
The pressure inside a container of gas increases when more gas is added to the container because the volume of the container doesn't change, and the added gas adds more molecules to push against the sides of the container. It is the movement of the gas molecules pushing against the container that causes pressure.
Thus, pressure is doubled.
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the fact that the force times the distance on one side of a lever's fulcrum equals the force times the distance on the other side of the fulcrum, is represented in the .
The force times the distance on the other side of the fulcrum, is represented in the moments.
What is fulcrum equals?
Calculate the mechanical advantage [tex]MA[/tex]using the equation [tex]MA = Fr/Fe.[/tex] For a class I lever, calculate the distance [tex]dr[/tex] of the fulcrum from the load using[tex]dr= L / (MA + 1)[/tex]. For a class II lever, determine the distance [tex]dr[/tex]of the fulcrum from the load using [tex]dr = L / MA[/tex].
How do you calculate the force of a fulcrum?
Class I Levers trial one: de = dr
In a class one lever the force of the effort (Fe) multiplied by the distance of the effort from the fulcrum (de) is equal to the force of the resistance (Fr) multiplied by the distance of the resistance from the fulcrum (dr).
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Which of the following is the statement of Dalton's law of partial pressures?
Dalton's law of partial pressures, the total pressure by a mixture of gases is equal to the sum of the partial pressures of each of the constituent gases.
The partial pressure is defined as the pressure each gas would exert if it alone occupied the volume of the mixture at the same temperature.
Dalton's Law, the law of partial pressure the total pressure exerted by a mixture of gases is. equal to the sum of the pressure exerted independently by each gas. The pressure exerted by each gas its pressure is. directly proportional to the percentage of that gas in the gas mixture.
Dalton discovered that oxygen combined with either one or two volumes of nitric oxide in closed vessels over water and this pioneering observation of integral multiple proportions provided important experimental evidence for his incipient atomic ideas.
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Part A
An ideal gas expands at a constant total pressure of 3.1 atm from 450 mL to 810 mL . Heat then flows out of the gas at constant volume, and the pressure and temperature are allowed to drop until the temperature reaches its original value.
Calculate the total work done by the gas in the process.
Express your answer to two significant figures and include the appropriate units.
Part B
Calculate the total heat flow into the gas.
Express your answer to two significant figures and include the appropriate units.
The work that is done by the gas can be obtained as 110 J.
There is not enough information in the question to determine part B.
What is the work done?We know that a gas is said to do work whenever the gas expands. The expansion of a gas mans that the gas is able to increase its volume and we can see from the question that the volume of the gas was quite able to move from a value of 450 mL to 810 mL .
How then can be be able to obtain the work that has been done by the gas in this case? We are aware that we do have the following parameters from the question;
Pressure of the gas = 3.1 atm
Initial volume of the gas = 450 mL or 0.45 L
Final volume of the gas = 810 mL or 0.81 L
The we have the formula;
W =PΔV
W = work done
P = pressure of the gas
ΔV = change in the volume of the gas
Thus;
W = 3.1 (0.81 - 0.45)
W = 1.12 atm L or 110 J
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dams at two different locations are needed to form a lake. when the lake is filled, the water level will be at the top of both dams. the dam
The force of the water on Dam #2 is 8 times than the force on Dam #1. Hence, option (c) is correct.
What is force?The definition of force in physics is: The push or pull on a massed object changes its velocity.
Let the height and wide of dam #1 is H and d respectively.
Then, the height and wide of dam #2 is 2H and 2d respectively.
Average force acting on the dam #1 = 1/2( pressure at the surface of the lake + pressure at the bottom of the lake) × area of the dam#1
= 1/2(0 + Hρg)×Hd
= H²ρgd/2
Average force acting on the dam #2 = 1/2( pressure at the surface of the lake + pressure at the bottom of the lake) × area of the dam#2
= 1/2(0 + 2Hρg)×2H × 2d
= 8H²ρgd/2
Hence, the force of the water on Dam #2 is 8 times than that on Dam #1.
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Your question is incomplete, but most probably full question was:
Dams at two different locations are needed to form a lake. when the lake is filled, the water level will be at the top of both dams. The Dam #2 is twice as high and twice as wide as Dam #1. How much greater is the force of the water on Dam #2 than the force on Dam #1? (Ignore atmospheric pressure; it is pushing on both sides of the dams.) A. 2 B. 4 C. 8 D. 16
The matter in this series of images is going threw a change. Draw a conclusion about the type of change shown. Is it a physical change or a chemical change
The matter in this series of images is going through a change and a conclusion about the type of change is shown which indicates that it is a chemical change.
What is a Chemical change?This is referred to as the type of change which occurs when the substance's composition is changed and it also occurs when a substance combines with another to form a new substance or when one is broken down into two or more different substances.
The image shown indicates that fire was lit and the substance was subjected to heat which therefore means that there will be gases produced as bubbles are likely to be seen also which indicates a new substance being formed and it is a characteristic of a chemical change which is therefore the reason why it was chosen as the correct choice.
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