The five questions that I would like to be answered concerning human involvement in climate change would be disclosed below.
What is climate change?Climate change is defined as the change that affects the normal atmospheric patterns which is often related to the activities of the human and their environment.
The five questions that I would like to be answered concerning human involvement in climate change include the following:
Is climate change caused by humans? What are the main threats of climate change? How is climate change affecting animals? How is climate change affecting people? How is climate change affecting the ocean?From the definition, climate changes with respect to the activities of human beings. Such activities include the following:
Burning fossil fuels, cutting down forests,Fertilisers containing nitrogen,Fluorinated gases, andIncreased farming of livestock.Learn more about climate change here:
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In general, which lens had the largest overall magnification (enlarged more than reduced)?
Convex lens had the largest overall magnification .
In optics, It is a quantification of comparing the size of the image with respect to the size of the object. It gives us information about the image in terms of how large or small is the image formed. Magnification is defined as the ratio of the height of image to the height of object.
The convex lens has the largest overall magnification. To get maximum magnification by convex lens object must be placed between center of curvature and pole of the lens .
Magnifying glasses make objects appear larger because their convex lenses (convex means curved outward) refract or bend light rays, so that they converge or come together.
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By how much will the runner's achilles tendon stretch if the force on it is 8.0 times his weight? young's modulus for tendon is 0.15×1010n/m2.
The runner's achilles tendon stretch is 5mm.
What is Young's modulus?
Young's modulus (Y) is described by the following expression.
[tex]Y = \frac{F \times L}{ΔL \times A } [/tex]
where,
F=force exerted on the tendon
A=area
∆L=change in length (streching)
The force in this case is 8 times the weight of the runner
F=8×m×g
F=8×70×9.8
F=5488N
therefore,the change in length of the tendon is given by
[tex]Δ = \frac{F \times L}{ Y \times A } [/tex]
[tex]ΔL = \frac{5488 \times 0.15}{0.15 \times 10 {}^{10} \times 1.1 \times 10 {}^{ - 9} } [/tex]
ΔL=0.00498m
The runner's achilles tendon will stretch by 0.004989m which is approx.5mm
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What is the unit of the quotient of inductance and resistance?
The unit of the quotient of inductance and resistance will be Henry and ohm
Inductance is the tendency of an electrical conductor to oppose a change in the electric current flowing through it. The flow of electric current creates a magnetic field around the conductor. The field strength depends on the magnitude of the current, and follows any changes in current.
Resistance is a measure of the opposition to current flow in an electrical circuit. Resistance is measured in ohms, symbolized by the Greek letter omega (Ω). Ohms are named after Georg Simon Ohm (1784-1854), a German physicist who studied the relationship between voltage, current and resistance.
unit of quotient of inductance = henry (H)
unit of resistance = ohm
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What is the change in temperature for the aluminum wire? c what is the change in temperature for the steel wire? c what is the change in temperature for the lead pellets? c
Answer:
-79.6
-80
-81.2
Explanation:
Fart
What is the change in temperature for the aluminum wire?
-79.6
What is the change in temperature for the steel wire?
-80
What is the change in temperature for the lead pellets?
-81.2
Calculate the value of ∆g for these initial partial pressures. (the partial pressure of each gas is set a 5. 0 atm at 25°c) (use ∆g = rt ln (q/k), use the k at 25°c)
∆g for these initial partial pressures is 10,403.31 KJ.
ΔG gets increasingly positive as a product gas's partial pressure is raised. ΔG becomes more negative as the partial pressure of a reactant gas increases.
∆g = RT ln (q/k)
In this equation: R = 8.314 J mol⁻¹ K⁻¹ or 0.008314 kJ mol⁻¹ K⁻¹
K = 325
If ΔG < 0, then K > Q, and the reaction must proceed to the right to reach equilibrium.
∴∆g = RT ln (q/k)
= 8.314 × 298 ln ( 5 / 325)
= 2477.57 ln 0.015
= 2477.57 × (-4.199)
= 10,403.31 KJ
Products are preferred over reactants at equilibrium if G° 0 and both the products and reactants are in their standard states. When reactants are preferred above products in equilibrium, however, if G° > 0, K 1. At equilibrium, neither reactants nor products are preferred if G° = 0, hence K = 1.
Therefore, ∆g for these initial partial pressures is 10,403.31 KJ.
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The best single rockets made by humans have an initial to final mass ratio of about 15. What mass ratio would be required to launch a single rocket into space, and what does it mean
The mass ratio which would be required to launch a single rocket into space in the most possible efficient way is that the ratio of rocket mass to fuel mass be; 1: 14.
What is the mass ratio required to launch a single rocket into space?According to the task content, it follows that the best single rockets made by humans have an initial to final mass ratio of about 15.
In essence, it follows that if the total mass initially was 15 mass units, the final mass would be 1 mass unit.
Consequently, 14 mass units must have burned as fuel in the rocket.
On this note, it follows that the mass ratio which would be required to launch a single rocket into space is; 15: 1 and this means there are 14 mass units of fuel for the 1 mass unit of actual rocket.
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What mechanisms function to localize sound in the horizontal and vertical planes?
What mechanisms function to localize sound in the horizontal and vertical planes?
Horizontal sound localization results from two mechanisms: interaural time delay and interaural intensity difference.
What is localizing sound?The capacity to pinpoint the position or source of a detected sound in terms of distance and direction is known as sound localization.
Numerous studies have been conducted on the mammalian auditory system's sound localization mechanisms. The auditory system uses a variety of indicators, such as spectral information, timing difference, level difference (or intensity difference) between the ears, and others, to locate the source of sound. Other animals, including birds and reptiles, employ these cues as well, however there may be variances in how they are used. In addition, there are localization cues that are not present in the human auditory system, such as the results of ear movements. It is obvious that animals that can localize sound have an evolutionary advantage.
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What is time dilation and how does it effect aging in life around the universe.
Hi, your answer is below.
Time dilation is usually defined as the slowing of the passage of time experienced by objects in motion relative to an observer; measurable only a relativistic speeds. Because time moves at various rates for the two of them depending on their relative velocities and/or proximity to things of considerable mass, if two persons (or objects) are moving relative to one another, they will age at separate rates. They will age differently from one another over time since their two timepieces will really tick at separate speeds. If they cross paths again later, they will both have aged differently, which may be determined by using their own timepieces, presuming they each had one. Einstein's Special and General Relativity equations, which have undergone extensive testing over the past 115 years and have never been shown to falter, regulate this "time dilation." The general relativity theory of Einstein, which states that a huge body's gravity warps space-time around it, causes time to move more quickly or more slowly depending on how far away the mass is from the observer, is what causes this so-called "time-dilation" phenomenon.
Thank you,
Eddie
What is the maximum weight of a luminaire (lighting fixture) permitted to be hung directly from an outlet box in a ceiling?
The maximum weight of a luminaire (lighting fixture) permitted to be hung directly from an outlet box in a ceiling 50 pound.
A luminaire that weighs more than 23 kg (50 lb) shall be supported independently of the outlet box, unless the outlet box is listed for not less than the weight to be supported.
Luminaire, or light fixture, complete lighting unit, consisting of one or more lamps (bulbs or tubes that emit light), along with the socket and other parts that hold the lamp in place and protect it, wiring that connects the lamp to a power source, and a reflector that helps direct and distribute the light.
Fluorescent fixtures usually have lenses or louvers to shield the lamp (thus reducing glare) and redirect the light emitted. Luminaires include both portable and ceiling- or wall-mounted fixtures.
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When the current in the micro-robot’s circuit increases and the resistance of the circuit remains constant, the voltage of the circuit:________
When the current in the micro-robot’s circuit increases and the resistance of the circuit remains constant, the voltage of the circuit: increases
What is micro-robot's ?With manual control, microrobots have demonstrated tremendous potential for carrying out microscale activities as drug delivery, cell manipulation, micro construction, and biosensing. Magnetotactic bacteria were used to illustrate the use of targeted delivery in the presence of DC magnetic field gradients. Microrobots for magnetic field-based delivery of target objects like cells and chemicals have also been investigated by other research teams. Micro-electro-mechanical systems have been used to create microgrippers for microrobots, a technique that can be used to increase the capability of microrobots in addition to targeted distribution. The kinematic models of produced microrobots have been researched in order to obtain motion control. Microrobots that are both biological and non-biological have been guided using autonomous motion planning. These devices utilize visual systems for feedback control.
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Roughly to what height would a 5 kg stone need to be raised in order to have the same stored energy as the energy stored in the defibrillator capacitor?
8.16m is the required height, a 5kg stone need to be raised.
One sort of potential energy is gravitational potential energy, which is equal to the product of the object's mass (m), the gravitational acceleration (g), and the object's height (h) as measured in relation to the ground's surface (the body).
We obtain the formula by considering the work done in raising a mass m through a height h.
Work in elevating mass m through height h is equal to force times distance.
The force must be greater than the mass m's weight, hence F = mg.
Work done = mgh = gravitational potential energy
Energy = Mass of the object × gravitational acceleration × height.
Mass of the stone = 5kg
Equating ;
∴ 400 J = 5 kg × 9.8 m/s² × height
Height = 8.16 m
Therefore, 8.16m is the required height.
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A radio wave has a frequency of 3. 8 x 1010 hz. what is the energy (in j) of one photon of this radiation? (use scientific notation in your answer: 1. 0e29)
The energy (in j) of one photon of this radiation is [tex]2.518*10^{-23}[/tex]J
Given,
frequency = 3. 8 x [tex]10^{10}[/tex] hz, h = Planck's constant = 6.626*[tex]10^{-34}[/tex]Js
E=frequency*Planck's constant=3. 8 x [tex]10^{10}[/tex] hz*6.626*[tex]10^{-34}[/tex]Js=[tex]2.518*10^{-23}[/tex]J
EnergyIn physics, energy is the quantifiable attribute that is transferred to a body or to a physical system, and it can be seen as heat and light as well as while work is being done. The law of conservation of energy asserts that although energy can change its form, it cannot be created or destroyed. Energy is a conserved quantity. The International System of Units (SI) uses the joule as the unit of measurement for energy, which is defined as "the energy transferred to an object by the work of moving it a distance of one metre against a force of one newton."
A radio wave has a frequency of 3. 8 x 1010 hz. what is the energy (in j) of one photon of this radiation? (use scientific notation in your answer: 1. 0e29)
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The main purpose of any wave, including sound waves and ocean waves, is to
carry __________ from one place to another.
A
heat
B
magnetism
C
energy
D
electricity
The main purpose of any wave, including sound waves and ocean waves, is to carry energy from one place to another.
A sound wave is the pattern of disruption brought on by the movement of energy moving through a medium as it propagates away from the source of the sound (such as air, water, or any other liquid or solid matter). Pressure waves are produced when an object vibrates, such as a ringing phone, and these waves are known as sound waves.
A wave crest is produced when wind continuously disturbs the water's surface in an ocean or lake. Ocean waves, which often go by the name wind waves, are mostly gravity waves. The height, duration, and shape of succeeding waves vary with a certain level of randomness of ocean waves.
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Two rockets approach each other. each is traveling at 0. 84 cc in the earth's reference frame. part a what is the speed of one rocket relative to the other?
The speed of one rocket relative to the other is 8.5 cc.
Let s be the frame at rest relative to the earth. Let the spaceship moving to the left with respect to the earth at speed [tex]v[/tex] be the particle in the terminology. Then the velocity of the spaceship relative to each other is simply the velocity of the second spaceship.
That for speeds small compared with the speed of light the relativistic velocity addition law gives the usual Newtonian result, whereas for speed near c the result is not what has been expected classically.
[tex]v' = 0.96cc\\\\v= 0.84cc\\\\\\v' = \frac{v+V}{1+ \frac{vV}{c^2} } \\\\v' = \frac{v+V}{ \frac{c^2+ vV}{c^2} }\\\\v' = \frac{(v+V) c^2} {c^2+ vV}\\\\\\v'c^2 + c^2v = V (c^2 - v'v)\\\\V = \frac{v'c^2+c^2v}{c^2 - v'v} \\ \\ = \frac{0.96 * 9* 10 ^1^6 + 0.84*9*10^1^6}{9*10^1^6 - 0.96 * 0.84} \\\\ =\frac{16.2}{1.9}\\ \\= 8.5 cc[/tex]
Therefore, the speed of one rocket relative to the other is 8.5 cc.
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Which of the following electrical devices does NOT contain an electric motor?
A drill
B mixer
C toaster
D sander
Light of wavelength 560 nm passes through a slit of width 0. 170 mm. (a) the width of the central maximum on a screen is 8. 00 mm. how far is the screen from the slit?
The distance between slit and the screen is 1.214m.
To find the answer, we have to know about the width of the central maximum.
How to find the distance between slit and the screen?It is given that, wavelength 560 nm passes through a slit of width 0. 170 mm, and the width of the central maximum on a screen is 8. 00 mm.We have the expression for slit width w as,[tex]w=\frac{2*wavelength*d}{a}[/tex]
where, d is the distance between slit and the screen, and a is the slit width.
Thus, distance between slit and the screen is,[tex]d=\frac{w*a}{2*wavelength} =\frac{8*10^{-3}*0.17*10^{-3}}{560*10^{-9}*2} \\\\d=1.214m[/tex]
Thus, we can conclude that, the distance between slit and the screen is 1.214m.
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Help is needed with this physics question ASAP. Thanks!
We can see that the range from the calculation is 310 m.
What is the range of a projectile?When we throw something from a height and it lands at the same eight, we call it a projectile motion. A projectile must always be shot at an angle. The range of the projectile is obtained by the relation; R = u^2sin2θ/g
Thus;
g = acceleration due to gravity
θ = acute angle
u = velocity
R = (60)^2 sin2(30)/10
R = 310 m
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A lorenz curve represents the cumulative percentage of total income received along the ________ and the cumulative share of population along the ________
A lorenz curve represents the cumulative percentage of total income received along the horizontal axis and the cumulative share of population along the vertical axis.
The distribution of the cumulative percent of occurrences by the cumulative percent of population is shown graphically by the Lorenz Curve. By expanding the neighbourhood income quintile group, the horizontal axis (x-axis) of the curve shows the cumulative percent of persons in the population, and the vertical axis (y-axis) shows the cumulative percent of events in the population.
The Lorenz curve can be described as the proportion of the population that the neighbourhood income quintile represents holding the proportion of population events.
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What is the hydroxide ion concentration in a solution whose ph is 6.52 at 25 ⁰c?
The hydroxide ion concentration in a solution is 3.31*10^-8M.
To find the answer, we have to know more concentration of solution.
How to find the hydroxide ion concentration in a solution?It is given that, the pH is 6.52 at 25 degree Celsius.We have the expression for pH in terms of hydronium ion concentration as,[tex]pH=-log[H_3O^+][/tex]
Thus, the hydronium ion concentration is,[tex][H_3O^+]=-10^{pH}=10^{-6.25}=5.6*10^{-7}M[/tex]
We have to find the concentration of hydroxide ion, for this we have an expression,[tex]K_w=[H_3O^+][OH^-]\\Where,\\K_w=10^{-14}[/tex]
Thus, the hydroxide ion concentration in a solution is,[tex][OH^-]=\frac{K_w}{[H_3O^+]} =\frac{10^{-14}}{10^{-6.52}}\\\\[/tex]
[tex][OH^-]=3.31*10^{-8}M[/tex]
Thus, we can conclude that, the hydroxide ion concentration in a solution is 3.31*10^-8M.
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An object having a fixed emissivity of 0. 725 radiates heat at a rate of 10 w when it is at an absolute temperature t. If its temperature is doubled to 2t, at what rate will it now radiate?.
It will now emit at a rate of 160 W.
What exactly is emissivity?the proportion of an emitter's energy to that of a blackbody, a perfect emitter with the same temperature, wavelength, and viewing circumstances. It ranges from 0 (for the optimum reflector) to 1 and has no dimensions (for a perfect emitter).
Why is emissivity important and what does it mean?The ability to reliably measure temperature using an infrared temperature sensor or a thermal imaging camera depends critically on emissivity, which measures a material's capacity to radiate infrared energy from its surface.
What substances exhibit a high emissivity?The type of surface affects a surface's emissivity in addition to the material. A smooth and polished metal surface will have a low emissivity in contrast to a roughened and oxidized metal surface, which will have a high emissivity.
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In a particular chemical reaction, the energy of the reactants is 30 kJ and the energy of the products is 5 kJ. The maximum energy of the system is 40 kJ.
Sketch a potential energy diagram for this reaction. Make sure to label the energy of the reactants, the energy of the products, the activation energy, and the enthalpy change for the reaction.
What is the activation energy for this reaction?
What is the enthalpy change for this reaction?
Is this reaction endothermic or exothermic? Explain your answer in two ways: first, using the energy values, and second, by referring to the shape of the graph.
The coating on the head of a match is highly flammable. When it burns, it releases a great deal of energy. However, before the match can burn, it must gain a small amount of energy from a spark. That spark is typically produced by striking (rubbing) the match head against a rough surface. Sketch and describe a potential energy diagram that represents the striking and burning of the match. Remember to label the diagram with the energy changes that occur. Your answer must include the potential energy diagram and a written description. (Note: you do not have to use actual energy values.)
An energy of 25kJ is given out hence the reaction is exothermic.
What is a reaction?Chemical reaction is said to occur when reactants combine leading to the formation of products. In a plot of the energy against the reaction profile, the topmost point of the graph is called the activation energy.
We know that a reaction is exothermic when reactants posses more energy than the products. Hence the enthalpy change for this reaction is;
ΔH = 5kJ - 30kJ = -25kJ thus the reaction is an exothermic reaction.
Now, the activation energy for the lighting of the match stick is high that is why a spark is required before the reaction gets underway. Heat is evolved in the process hence the reaction is exothermic. The energy of the reactants is greater than the energy of the products.
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When testing for friction loss coefficients, departments that use a pitot tube should use:_________.
When testing for friction loss coefficients, departments that use a pitot tube should use Smooth bore nozzle
The pitot tube is a simple and convenient instrument to measure the difference between static, total and dynamic pressure (or head) .
It is a device used to measure velocity in pipe, wide tunnel, aero planes , etc. Pitot tube is completely based on its principle that if the velocity of flow at any point becomes Zero. A pressure measuring instrument used to measure fluid flow speed, especially used to determine the airspeed of an aircraft
Smooth bore nozzles also use the lowest engine pump pressures, allowing for maximum reach. Smooth bore nozzles are often referred to as solid bore nozzles because they produce a solid stream to provide maximum reach and penetration to the seat of the fire.
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If we want to build a telescope that detects radio waves, we must build it with a very large dish since radio waves have very large wavelengths,
a) true
b) false
Building a telescope that detects radio waves must be built with a very large dish since radio waves have very large wavelengths is regarded as a true statement and is denoted as option A.
What is Wavelength?This is defined as the distance between two successive crests or troughs of a wave.
Radio waves have the longest wavelength in the electromagnetic spectrum which is therefore the reason why a very large dish is built to detect it.
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What quantities determine the resistance of a piece of material? choose all that apply
The resistance depends upon the length, area and material of the material.Option (a), (b) and (c) is correct.
Quantities that determine the resistance:
The resistance of a wire is directly proportional to its length and inversely proportional to its cross-sectional area. Resistance also depends on the material of the conductor.
A conductor's or circuit element's resistance typically rises as temperature rises. Some conductors exhibit negligible resistance at very low cooling rates. Even after the electromotive force is removed from these substances, known as superconductors, currents still flow through them.The conductance, 1/R, is the reciprocal of resistance and is measured in reciprocal ohm units, or mho.
The complete question is:
What quantities determine the resistance of a piece of material? Choose all that apply.
a)The length of the piece of material
b)The cross-sectional area of the piece of material
c)The type of material
d)The voltage across the material
e)The current flowing through the piece of material
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(Repost again because i rly need the answer) Physics question HELP asap
The cannonball will travel 311.8 m horizontally. Among the given options, 310 m is the correct answer.
What is a Projectile ?
A projectile is any object like stone, ball or javelin that take a trajectory path when thrown into the air.
The following parameters are given from the question
Ф = 30°u = 60 m/sg = 10 m/s²T = ?R = ?Resolve the initial velocity into horizontal and vertical components. That is,
Horizontal component = ucosФVertical component = usinФTo calculate the range that is, the horizontal distance, will can first calculate the total time take by the ball to reach the ground.
Total time T = 2usinФ / g
Substitute all the parameters
T = (2 x 60sin30) / 10
T = (2 x 30) / 10
T = 60 / 10
T = 6 s
The horizontal distance R = ucosФ x T
R = 60 x cos 30 x 6
R = 311.77 m
Therefore, the cannonball will travel 312 m approximately horizontally.
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Metallic iron crystallizes in a body-centered cubic lattice, with one fe atom per lattice point. if the metallic radius of fe is 124 pm, what is the volume of the unit cell in pm3 and in cm3?
The volume of a unit cell is 4.3 × 10⁻¹⁰ pm³.
We need to start with the features of a face-centered cubic system in order to be able to determine the edge length of the unit cell.
As we know, a face-centered cubic system is characterized by a unit cell that has a total of 14 lattice points.
one lattice point for every one of the eight corners of the unit cell.one lattice point for every one of the six faces of the unit cell.Now, these lattice points will contain
1/8th of an atom in every corner lattice point.1/2 of an atom in every face lattice point.Assume that r is the edge length of the unit cell and that r is the radius of an iron atom. You'll see that we can represent x in terms of the cell's diagonal, d, using Pythagoras' Theorem.
[tex]d^2 = x^2+ x^2[/tex]
[tex]d^2=2x^2[/tex]
The cell's diagonal will be equal to one radius from the atom in the top corner, two from the atom in the face, and one from the atom in the lower corner.
[tex]d= r+2r+r = 4r[/tex]
This means that we have,
[tex](4r)^2=2x^2[/tex]
[tex]16.r^2 = 2x^2 \\x=\sqrt{8r^2}[/tex]
This is equivalent to
[tex]x=2\sqrt{2} r = 2\sqrt{2} .124= 350.7 pm[/tex]
So, the edge length of the unit cell is equal to 350.7 pm.
The volume of a unit cell. As we know, the volume of a cube is given by the formula
V = [tex]l[/tex] × [tex]l[/tex] × [tex]l[/tex]
[tex]l[/tex] = the edge length of the cube
Volume = (350.7)³ pm³
= 4.3 × 10⁻¹⁰ pm³
= 4.3e-30 cm³
Therefore, the volume of the unit cell is 4.3 × 10⁻¹⁰ pm³.
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A transverse travelling sinusoidal wave on a string has a frequency of 100hz a wavelength of 0.040m and an amplitude of 2mm the max velocity of any point on the string is
Vmax = 1.258 m/s
Maximum velocity of any point on the string is 1.258 m/s.
Maximum velocity is given by,
Vmax = Aω
where,
V = velocity
A = amplitude
ω = angular displacement
ω is given by,
ω = 2[tex]\pi[/tex]f
where f = frequency
ω = 2[tex]\pi[/tex]f
= 2*3.147*100
= 629.4 rad
A = amplitude = 2mm
Vmax = Aω
= 2 ×[tex]10^{-3}[/tex] × 629.4
= 1.258 m/s
Maximum velocity = Vmax = 1.258 m/s
Maximum velocity of any point on the string is 1.258 m/s.
What is meant by sinusoidal wave?The curve representing a smooth repeated oscillation is known as a sine wave or sinusoidal wave. The sine wave is "the wave form in which the amplitude is always proportional to sine of its displacement angle at every point in time," according to the definition. Sine waves can be added together to create any wave.What makes a wave a sinusoidal wave?The waveform shape created by our straightforward single loop generator is then frequently referred to as a sine wave since it is seen to have a sinusoidal shape. Because it is based on the trigonometric sine function used in mathematics (x(t) = Amax. sin), this sort of waveform is known as a sine wave.
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A circular loop of radius r carries a current i. at what distance along the axis of the loop is the magnetic field one-half its value at the center of the loop?
At r = 0.766 R the magnetic field intensity will be half of its value at the center of the current carrying loop.
We have a circular loop of radius ' r ' carrying current ' i '.
We have to find at what distance along the axis of the loop is the magnetic field one-half its value at the center of the loop.
What is the formula to calculate the Magnetic field intensity due to a current carrying circular loop at a point on its axis?The formula to calculate the magnetic field intensity due to a current carrying ( i ) circular loop of radius ' R ' at a distance ' x ' on its axis is given by -
[tex]B(x) = \frac{\mu_{o} iR^{2} }{2(x^{2} +R^{2})^{\frac{3}{2} } }[/tex]
Now, for magnetic field intensity at the center of the loop can calculated by putting x = 0 in the above equation. On solving, we get -
[tex]B(0) = \frac{\mu_{o} i}{2R}[/tex]
Let us assume that the distance at which the magnetic field intensity is one-half its value at the center of the loop be ' r '. Then -
[tex]\frac{\mu_{o} iR^{2} }{2(r^{2} +R^{2})^{\frac{3}{2} } } = \frac{1}{2} \frac{\mu_{o}i }{2R}[/tex]
[tex]2R^{3} = (r^{2} +R^{2} )^{\frac{3}{2} }[/tex]
[tex]4R^{6} = (r^{2} +R^{2} )^{3}[/tex]
[tex]r^{2} =0.587R^{2}[/tex]
r = 0.766R
Hence, at r = 0.766 R - the magnetic field intensity will be half of its value at the center of the current carrying loop.
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When a car is coasting downhill, how are its potential and kinetic energies changing?
When a car is coasting downhill, the kinetic and potential energies are increasing and decreasing respectively.
What are kinetic and potential energy?Kinetic energy is the energy possessed by an object because of its motion, equal to one half the mass of the body times the square of its speed.
Potential energy, on the other hand, is the energy possessed by an object because of its position (in a gravitational or electric field), or its condition (as a stretched or compressed spring, as a chemical reactant, or by having rest mass).
According to this question, a car going downhill will begin to speed because there is lesser friction. This suggests that the kinetic energy increases while the potential energy decreases.
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A 4. 137-m long pipe is in a room where the temperature is 16. 164 oc. what is the frequency of the third harmonic if the pipe is closed at one end?
The frequency of the third harmonic if the pipe is closed at one end is = 102.93 Hz.
How can we find the frequency of the third harmonic if the pipe is closed at one end?To find the frequency of the third harmonic if the pipe is closed at one end, we use the formula,
[tex]f_{n} =nf_{1}[/tex]=[tex]n\frac{v}{4L}[/tex] , in this case n= 1,3,5,7,9.....
Here we are given,
L= The length of the pipe = 4.137 m.
v= speed of the sound at 16.164°C .
[tex]v_{0}[/tex]= speed of the sound at 0°C.=331 m/s
Before finding the frequency we have to find the speed of the sound at 16.164°C. To find v, we are using the formula,
[tex]v=v_{0 } \sqrt{\frac{T_{2} }{T_{1} } }[/tex]=[tex]331\times \sqrt{\frac{(273+16.164) }{273 }[/tex]=340.65 m/s.
We have to find the frequency of the third harmonic, so according to the question, n=5
Now we put the known values in the first equation, we can find that
[tex]f_{n}=n\frac{v}{4L}[/tex]
Or,[tex]f_{n} = 5\times\frac{340.65}{4\times 4.137}[/tex]=102.93 Hz.
Therefore, from the above calculation we can conclude that if the pipe is closed at one end the frequency of the third harmonic is 102.93 Hz.
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