When the switch in the primary circuit is closed, the following continue to happen:
1. the current flows in the secondary circuit
2. voltage is supplied across the secondary circuit and
3. A magnetic field exist around the primary coil.
What happens when the primary circuit is closed?Closing the switch in the primary circuit produces a constant electric current in the conducting wire. This constant electric current produces a magnetic field in the primary coil. The soft-iron ring enhances the strength of the magnetic field, and the ring itself becomes magnetized.
The primary circuit refers to the input section of an isolated power supply, which is connected to the AC mains. This section of the power supply has dangerous voltage levels and not designed to be directly accessed by users.
Therefore when the primary circuit switch is closed, the current flows in the secondary circuit, a voltage is supplied across the secondary circuit and a magnetic field exist around the primary coil.
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A square loop of wire lies in the plane of the page and carries a current I as shown. There is a uniform magnetic field Vector B parallel to the side MK as indicated. The loop will tend to rotate: A. about PQ with KL coming out of the page B. about PQ with KL going into the page C. about RS with MK coming out of the page D. about RS with MK going into the page E. about an axis perpendicular to the page.
The correct option A. about PQ with KL coming out of the page B; for the direction of the rotation of the loop for the uniform magnetic field.
Explain the term uniform magnetic field?The field lines must be both parallel and equally spaced in order for the region under examination to have a uniform magnetic field, which must have the same strength and direction throughout.If the magnetic field's lines are parallel, the magnetic field's intensity will be the same at every place, meaning the field's strength will be constant.Assume that the X and Y axes are, respectively, along OQ and OR.
Since the current in MK is along B, F(MK) = 0.Since the current in LN is the opposite of B, F(LN) = 0.The two forces, F(KL) and F, have different lines of attack (MN).
The angle of perpendicularity between F(KL) and F(MN) is l.
As a result, the square loop will revolve around PQ, with KL emerging from the page.
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The diagram for the question is given -
Consider a pendulum swinging. Which type(s) of energy is/are associated with the pendulum in the following instances: i. the moment at which it completes one cycle, just before it begins to fall back towards the other end, ii. the moment that it is in the middle between the two ends, iii. just before it reaches the end of one cycle (just before instant i.).
i. potential, ii. kinetic, iii. potential and kinetic
In the following situations, the type(s) the energy is/are related to the pendulum: potential kinetic potential,kinetic
When someone is kinetic, what does that mean?When an organism moves as a result of a stimulation like light, this is known as kinesis. Being able to use one's own internal kinesis power is what it means to be kinetic. Kinetics have such a supernatural ability, just like Telekinetics, Psychokinetics, and those who have Extra Sensory Perception.
What is it that makes kinetic energy move?Kinetic energy is the energy that any item has with a result of motion. An item can only be accelerated through the application of a force. Applying force requires effort on our part. Following completion of the work, energy is transmitted to the object, which then moves at the a new, consistent rate.
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What type of force is gravity and friction?; What are the 2 types of forces called?; Are friction and gravity both forces?; Are inertia and gravity related?
Force is gravity and friction are Contact forces and Non-contact forces. yes, inertia and gravity are related.
According to Einstein, inertia and gravity are the same thing. The fact that two different masses fall at the same rate leads me to conclude that gravity and inertia are equivalent.
That is, whether a greater mass is dumped on the Earth or the Moon, its inertia is precisely enough to slow down its acceleration to the same level as a smaller mass.
Contrary to what some individuals in the comments claim, Einstein did assert that gravity and inertia are interchangeable concepts.
This is a typical mistake that results from Einstein's concept of equivalence, which equates gravitational mass with inertial mass, but also from the fact that acceleration and gravity appear to be two distinct phenomena.
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according to faraday's law, the induced emf is the rate of change of the magnetic flux through a closed loop..
According to Faraday's law, the magnetic flux through the loop's enclosed area changes at a rate that equals the induced emf around a closed loop.
The induced emf in a coil is equal to the rate of change of the flux linkage, as stated by Faraday's second law of electromagnetic induction. As a result, E = Ndϕdt.
It is no a conservative field, the induced electric field. You must exert effort when moving a charge once around the loop in opposition to the induced field. Your labor, however, is not kept as potential energy. To recoup the energy used to move the charge, you cannot allow the electric field to perform work. When the magnetic flux is no longer changing, the induced electric field also vanishes. There is no local storage for the work you perform on a charge against the induced field. An electromagnetic wave may be used to carry the energy away.
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Light in medium A undergoes a total internal reflection as it reaches the interface with medium B. Which of the following statements must be true? (Select all that apply.) HINT na > n All light rays that undergo a total internal reflection travel along the interface between the two materials nanA Light traveling in the opposite direction, from B into A, cannot undergo a total internal reflection
The correct answer is (A & D).
In the case of total internal reflection: Total internal reflection occurs when the light travels from a denser medium to a rarer medium. And refraction does not occur at the critical angle
Thus the need for total internal reflection when the ray travels from medium B to medium A.
nB > nA
Thus the need for total internal reflection when the ray travels from medium A to medium
B.
nA > nB
Both the conditions can not be satisfied simultaneously so, the initial light travels from medium A to medium B therefore options C and B are incorrect in the given options.
Hence, the correct option is A and D respectively.
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The switch in the circuit in (Figure 1) has been in the left position for a long time. At t- 0, it moves to the right position and stays there. Figure 1 of 1 sov 150 V+ 40 nF 30k60 k2 a) Find the initial voltage drop across the capacitor. b) Find the initial energy stored by the capacitor. c) Find the time constant of this circuit for t>0. d) Write the expression for the capacitor voltage v(t) for t 20. Express your answer in terms of t, where t is in seconds.
The initial voltage drop across the capacitor is 150v,b) The initial energy stored by the capacitor is 450 × [tex]10^{-6}[/tex]
Figure 1 of 1 150 V drop given ,So across the capacitor is 150v
initial energy stored by the capacitor = 1/2 CVc(v)
energy = 1/2 × 40 × [tex]10^{-9}[/tex] × 150×150
= 450 × [tex]10^{-6}[/tex]
the expression for the capacitor voltage v(t) for t 20 is
Vc(t) = Vc(α) + [Vc(0) - Vc(α)][tex]e^{t/T}[/tex]
By building up electric charges on two nearby surfaces that are isolated from one another, a capacitor is a device that stores electrical energy in an electric field. It is a two-terminal passive electrical component.
Capacitance is the name given to a capacitor's effect. While there is some capacitance between any two electrical conductors that are close to one another in a circuit, a capacitor is a component made to increase capacitance in a circuit. Condenser is a term that still appears in a few compound names for the capacitor, such as condenser microphone.
Practical capacitors come in many different shapes and sizes, and they are made of a large variety of materials. Most capacitors include two or more electrical conductors, frequently in the form of metallic plates.
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when we see x-rays from an accretion disk in a binary system, we can't immediately tell whether the accretion disk surrounds a neutron star or a black hole. suppose we then observe each of the following phenomena in this system. which one would rule out the possibility of a black hole?
When we see x-rays from an accretion disk in a binary system, we can't immediately tell whether the accretion disk surrounds a neutron star or a black hole. suppose we then observe each of the following phenomena in this system. Intense X-rays bursts would rule out the possibility of a black hole.
About accretion diskThis is rotating gas that forms around objects that have a large gravitational force. It can be found around black holes or stars where matter collapses due to gravity to a central object. Accretion disks are structures formed by matter orbiting very large objects. The object is usually a star.
Gravity pulls matter on the disk toward the object it is orbiting. The force of gravity and friction suppresses and raises the temperature of the material to form electromagnetic radiation. The frequency of the radiation depends on the mass of the object being surrounded.
The accretion disks of young stars and protostars form the infrared; The disk surrounding the neutron star and black hole forms X-rays. Research on accretion disks is called discoseismology.
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time quantum is defined in: group of answer choices shortest job scheduling algorithm priority scheduling algorithm round robin scheduling algorithm multilevel queue scheduling algorithm
In the round robin scheduling algorithm, time quantum is specified. As part of a theory that contends that time is not continuous, a chronon is a discrete and indivisible "unit" of time that is proposed.
A preemptive scheduler permits a certain process to operate for a brief period of time known as a quantum (or time slice). The process is put back in the ready queue after this amount of time and another one is put into the run state (i.e., the scheduler ensures that the processes take turns to run). Round Robin Scheduling fixes the time quantum before scheduling the processes such that no one process receives more CPU time than one time quantum at a time. The response time of the processes is too long if time quantum is too large, which could not be acceptable in an interactive environment.
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a 2.4 kg purse is dropped from the top of the leaning tower of pisa and falls 55 m before reaching the ground with a speed of 27 m/s. What was the average force of air resistance?
The average force of air resistance is 18.36N.
A force is an influence that can change the motion of an object. A force can cause an object with mass to change its velocity (e.g. moving from a state of rest), i.e., to accelerate. Force can also be described intuitively as a push or a pull. A force has both magnitude and direction, making it a vector quantity. It is measured in the SI unit of newton (N). It is a standard mechanical quantity. Force is represented by the symbol F (formerly P).
Given;
mass=2.4Kg
Hight=55m
Final velocity (v)=27m/s
Noe from kinematics
[tex]v^{2} =u^{2} +2ah[/tex]
Putting the value
[tex]0^{2} =(27)^{2} +2a*55[/tex]
so, a=4.4m/s^2
now, By applying newton's law
mg-F=ma
F=m(g-a)
=2.4(9.8-4.4)
=18.36N
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The spring is compressed by 10 cm. It launches the block across a frictionless surface with speed 0.50. The two springs in are identical to the spring of Figure a. They are compressed by the same 10 cm and used to launch the same block. What is the block's speed now?
The block's speed when two springs used to launch the same block is 0.71 m/s.
The problems not complete, look at the attachment to see the picture. In picture (2) two springs paralleled. The constant for two paralleled springs
k = k₁ + k₂
k = 25 + 25
k = 50 N/m
When the springs compressed, the conservation energy law applies.
K.E block + P.E springs = K.E' block + P.E' springs
The block initially stop.0 + 0.5 × k × Δx² = 0.5 × m × v² + 0
k × Δx² = m × v²
50 × 0.1² = 1 × v²
0.5 = v²
[tex]v = \sqrt{0.5}[/tex]
v = 0.71 m/s
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First-order analysis of a seismogram record allows seismologists to do all but which of the following?
First-order analysis of a seismogram record enables seismologists to do all except to develop a Modified Mercalli Intensity map.
First-order analysis of a seismogram record identifies the different kinds of seismic waves reaching to the earth's surface by the fault movement. This analysis records P waves.
The P wave will be the first wave to reach the surface. P waves are the fastest seismic waves. So, they will usually be the first ones that are recorded by a seismograph. The next seismic waves to record on a seismogram are the S waves.
A seismograph is the main instrument used to measure earthquakes. The seismograph produces a digital graphic recording of the ground motion caused by the reaching seismic waves on the earth surface. The digital recording is known as a seismogram.
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The figure shows an overhead view of a ring that can rotate about its center like a merry-go-round. Its outer radius R2 is 0.8 m, its inner radius R1 is R2/2, its mass M is 8.0 kg, and the mass of the crossbars at its center is negligible. It initially rotates at an angular speed of 7.6 rad/s with a cat of mass m = M/4 on its outer edge, at radius R2. By how much does the cat increase the kinetic energy of the cat-ring system if the cat crawls to the inner edge, at radius R1?
The cat increase the kinetic energy of the cat-ring system is 42.4 J.
Mass of the merry-go-round = M = 7.6 kg
Outer radius of the merry-go-round = R2 = 0.9 m
Inner radius of the merry-go-round = R1 = R2/2 = 0.9/2 = 0.45 m
Moment of inertia of the merry-go-round = I
I = 3.8475 kg.m2
Mass of the cat = m = M/4 = 7.6/4 = 1.9 kg
Initially the cat is sitting at the outer edge that is at a distance of 'R2' from the center.
Initial moment of inertia of the system = I1
I1 = I + mR22
I1 = 3.8475 + (1.9)(0.9)2
I1 = 5.3865 kg.m2
Initial angular speed of the system = title=View image!
1 = 7.6 rad/s
Now the cat walks to the inner edge of the merry-go-round therefore it is at a distance 'R1' from the center.
New moment of inertia of the system = I2
I2 = I + mR12
I2 = 3.8475 + (1.9)(0.45)2
I2 = 4.23225 kg.m2
New angular speed of the system =
I = I2
(5.3865)(7.6) = (4.23225)2
= 9.673 rad/s
Initial kinetic energy of the system = E1
E2 = 198 J
Amount by which the kinetic energy of the system increases =
E = E2- E1
title=View image!
E = 198 - 155.6
ΔE = 42.4 J
Amount by which the kinetic energy of the system increases when the cat crawls to the inner edge = 42.4 J.
Kinetic Energy:
Kinetic energy is the energy that an object possesses due to its motion. It is defined as the work required to accelerate an object of specified mass from rest to a specified velocity. After the body acquires this energy during acceleration, it retains this kinetic energy as long as the velocity does not change.
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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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The blue-ringed octopus reveals the bright blue rings that give it its name as a warning display (Figure 1). The rings have a stack of reflectin (a protein used for structural color in many cephalopods) plates with index of refraction n = 1.59 separated by cells with index n = 1.37. The plates have thickness 62 nm. What is the longest wavelength, in air, of light that will give constructive interference from opposite sides of the reflecting plates?
The wavelength of light in air that will give constructive interference from opposite sides of the reflecting plates is 394.32 nm.
When two waves travel in the same direction and are in phase with each other, their amplitudes get added and the resultant wave is obtained. Here, the waves are said to have undergone constructive interference. Upward displacement happens when the wave undergoes constructive interference. Hence, the upward displacement of the medium is greater than the displacement of the two interfering pulses.
Constructive interference occurs when the phase difference between the waves is an even multiple of π.
We know that the path difference is (2 * m t + λ/2)
So, for constructive interference,
(2 * m t + λ/2) = n λ
2 t = (m + 1/2)* λ/ n
For m = 0, λ = 4 t n
λ = 4 * (62* 10⁻⁹) * 1.59 = 394.32 * 10⁻⁹ m = 394.32 nm
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A projectile launched vertically from an altitude of h0 feet with an initial velocity of v0 feet per second. The height of the projectile is h(t) feet after t seconds is given by h(t)=−16t2+v0t+h0 If h(1)=143 and h(2)=179, find the values of v0 and h0. v0= h0=
The height of the projectile is h(t) feet after t seconds is 898,792.
What is projectile ?
An item that is propelled by the application of an external force and then travels freely while being affected by gravity and air resistance is referred to as a projectile. Projectiles are generally used in sports and combat, despite the fact that every item traveling through space is a projectile.
I know the formula is:
. . .h = -16t^2 + vt + s, where
. . ."h" is the height (in feet) at a given time
. . ."s" is the initial height (in feet)
. . ."t" is the time in motion (in seconds)
. . ."v" is the initial velocity (in feet per second)
If the initial height is 8 ft and the initial velocity is 95 feet/sec, how high will the object be in 4 minutes?
I used:
. . .h = -16(240)^2 + 95(240) + 8
. . .h = -16(57,600) + 22,800 + 8
. . .h = -921,600 + 22,800 + 8
. . .h = -898,792
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(a) what is the energy in joules of an x-ray photon with wavelength 1.00x10-10 m? (b) convert the energy to electron volts. part (b) answers listed below:
The energy in joules of an x-ray photon with wavelength 1.00x10-10 m is 1.99* 10^-15J.
What is energy ?
Scientists define energy as the ability to do work. Modern civilization is possible because people have learned how to change energy from one form to another and then use it to do work.
The energy to electron volts is 1.24*10^4 eV.
Wavelength [tex]$\lambda=1.00 \times 10^{-10} \mathrm{~m}$[/tex]
Speed of light [tex]$c=3.0 \times 10^8 \mathrm{~m} / \mathrm{s}$[/tex]
P1anck's constant [tex]$h=6.626 \times 10^{-34} \mathrm{Js}$[/tex]
a) The energy of an X-rays is
[tex]$$\begin{aligned}E & =\frac{h c}{\lambda} \\& =\frac{\left(6.626 \times 10^{-34} \mathrm{Js}\right)\left(3.0 \times 10^8 \mathrm{~m} / \mathrm{s}\right)}{\left(1.00 \times 10^{-10} \mathrm{~m}\right)} \\& =1.9878 \times 10^{-15} \mathrm{~J} \\& =1.99 \times 10^{-15} \mathrm{~J}\end{aligned}$$[/tex]
b)
Convert energy of an electron [tex]$\mathrm{J}$[/tex] to[tex]$\mathrm{eV}$[/tex],
[tex]$$\begin{aligned}E & =1.9878 \times 10^{-15} \mathrm{~J}\left(\frac{1 \mathrm{eV}}{1.60 \times 10^{-19} \mathrm{~J}}\right) \\& =1.24 \times 10^4 \mathrm{eV}\end{aligned}$$[/tex]
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If the refractive index of glass is 1.66 and the angle of prism is 60°, find the angle of minimum deviation.
Answer:
To find the angle of minimum deviation for a prism with a refractive index of 1.66 and an angle of 60°, we can use the formula for the angle of minimum deviation:
δmin = (n - 1) * angle of prism
Where δmin is the angle of minimum deviation, n is the refractive index of the material of the prism, and angle of prism is the angle of the prism.
Substituting the values given in the problem, we find that the angle of minimum deviation is:
δmin = (1.66 - 1) * 60° = 0.66 * 60° = 39.6°
Therefore, the angle of minimum deviation for this prism is 39.6°.
Explanation:
A 2.50-kg solid, uniform disk rolls without slipping across a level surface, translating at 3.75 m/s. If the disk’s radius is 0.100 m, find its (a) translational kinetic energy and (b) rotational kinetic energy.
The translational & rotational kinetic energy is :
a) The translational kinetic energy of the disk across the level surface is 17.58J.
b) The rotational kinetic energy of the disk is 8.79J.
How do you find total kinetic energy with translational and rotational?The combined translational and rotational kinetic energies of an item in motion determine its total kinetic energy. 12 mvCM2 is the translational kinetic energy. Rotational kinetic energy is equal to 12 I2. Total kinetic energy is 12mvCM2 plus 12I2.Ek=12mv2, where m is the mass (mass of the molecule, atom, or ion) and v is the velocity of its Centre of mass, is the energy associated with the movement of a chemical entity.There is just one distinction between rotational and translational kinetic energy: translational energy moves in a straight path, but rotational energy does not. When a bicycle is being ridden down a bike path, its tyre provides an illustration of both kinetic and translational kinetic energy.Learn more about translational & rotational kinetic energy refer to :
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Your consulting firm is asked to design an activated carbon adsorption system to treat contaminated groundwater containing 10 mg/L of benzene with a treatment goal of 99% reduction in benzene concentration before injection into groundwater. The extraction well pumps groundwater at 100 gpm. The activated carbon removal capacity is expressed as the following Freundlich equation: 9 (mg/kg) = 0.2 CO.2, where Cis concentration (mg/L) of benzene after adsorption equilibrium. (a) What is the amount of activated carbon (kg) needed per day? (b) If the packing density of activated carbon is 1.2 g/L, how many 55-gallon tank it would fill? Approximate to nearest number exceeding the amount of activated carbon required.
the daily need for activated carbon in kg is 4319.327 kg of carbon. It would fill a 55-gallon tank, which is 18.
groundwater containing 10 mg/L of benzene
treatment goal of 99%
Flow rate of ground water =100 Gpm
=378.541 Liter/min
now weight of benzene in water
=378.541 Liter/min*10 mg/lit
= 3.78541 gram/min
now per day weight of benzene
=3.78541 g/min*(24*60)min=5450.9904 gram
now frewndlich equation derives
q(mg/g)=2 c[tex]^{0.2}[/tex]
c=0.01*10=0.1 mg/L
q=2*[tex](0.1)^{0.2}[/tex] = 1.262
q=1.262 (mg/g)
it means 1.262 mg of benzene adsorps on one gram of activated carbon
a)now per day mass=5450.9904*10³ mg
1.262 mg needs 1g of carbon
1mg needs 1/1.262 g of carbon
5450.9904*10³ mg needs
((1/1.262)*5450.9904*10³ ) grams
=4319.327 Kg of carbon /day
b) packing density of activated carbon = 1.2 g/L
tank size =55 gallon
now 1.2g fills in 1 lit
1g fills in (1/1.2)litre
4319.327*10³ g fills in(1/1.2)*4319.327*10³ liter
=3600 liter volume needed
1 tank volume =55gallon
=208.2 lit
number of tanks needed =3600 liter/208.2
=17.29≅18 tanks
∴18 such tanks are needed
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In exercising, a weight lifter loses 0.178 kg of water through evaporation, the heat required to evaporate the water coming from the weight lifter's body. The work done in lifting weights is 1.35E+5 J. Assuming that the latent heat of vaporization of perspiration is 2.44E+6 J/kg, find the change in the internal energy of the weight lifter.
The change in the internal energy of the weight lifter is -5.69 x 10⁵J.
Solution:
[tex]\Delta U = Q-W[/tex]
work done is lifting a body is [tex]1.35*10^5 J[/tex]
so, [tex]W = 1.35*10^5 J[/tex]
during perspiration, heat will be lost by the body to make water evaporate
so,
[tex]Q= -L_v \times m[/tex]
where m is the mass of water
[tex]Q= -2.44 \times 10^6 \times 0.178 J=-4.34 \times 10^5 J[/tex]
Now, change in internal energy,
[tex]\Delta U = -4.34\times 10^5- 1.35 \times 10^5 =-5.69 \times 10^5 J[/tex]
A glass of water standing on a table has no visible macroscopic potential or kinetic energy. However, water molecules have internal energy because they move randomly and each molecule contributes to the total internal energy of water. The energy involved in the system is related to the random motion of the particles and the potential energy of the molecules due to their orientation.
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Problem 12.15 Determine the electrical conductivity of a Cu-Ni alloy that has a yield strength of 100 MPa. Refer to Eigures 12.9 an 8.16. (1-m) the tolerance is +/-5% Click if you would like to Show Work for this question: Open Show Work Electrical resistivity (10-8 82 m) Composition (wt% Ni) Figure 12.9 Room-temperature electrical resistivity versus composition for copper-nickel alloys. 400 Tensile strength (MPa) Tensile strength (ksi) Yield strength (MPa) Yield strength (ksi) do o 10 40 50 10 40 50 20 30 Nickel content (wt%) (a) 20 30 Nickel content (wt%) (b) Elongation (% in 2 in.) 0 10 40 20 30 Nickel content (wt%) (e) Figure 8.16 Variation with nickel content of (a) tensile strength, (b) yield strength, and (e) ductility (EL) for copper- nickel alloys, showing strengthening
The electrical conductivity of a Cu-Ni alloy that has yield strength of 100MPa is 47 ohm-meter.
Electrical conductivity is indicated by the image σ and has SI units of siemens per meter (S/m). In electrical designing, the Greek letter κ is utilized. Now and again the Greek letter γ addresses conductivity. In water, conductivity is in many cases detailed as unambiguous conductance, which is an action contrasted with that of unadulterated water at 25°C.
We know very well that electrical conductivity is just converse of resistivity multiplied by the yield strength.
From the given diagram, we can understand that maximum value of electrical resistivity is 47×10⁻⁸ (ohm-meter)⁻¹.
So, electrical conductivity =electrical resistivity ×yield-strength
=>electrical conductivity =(47×10⁻⁸ ×100×10⁶)
=>electrical conductivity =47 ohm-meter.
Hence, value of electrical conductivity is 47 ohm-meter.
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(Complete question) is:
Problem 12.15 Determine the electrical conductivity of a Cu-Ni alloy that has a yield strength of 100 MPa. Refer to Figures 12.9 an 8.16. (1-m) the tolerance is +/-5% Click if you would like to Show Work for this question:
to further explore what this equation means, consider four sets of identical waves that move in the x direction. a photo is taken of each wave at time t and is displayed in the figures below. rank these sets of waves on the basis of the maximum amplitude of the wave that results from the interference of the two waves in each set. rank from largest amplitude on the left to smallest amplitude on the right. to rank items as equivalent, overlap them.
A. Y max = 2A
B. Y max = A
C. Y max = 0
D. Y max = A
So the order is, (A),(B) = (C),(D)
The maximum displacement or distance moved by means of a factor on a vibrating frame or wave measured from its equilibrium position. it's far identical to at least one-half the period of the vibration course.
For amplitude measurements, you rely the variety of vertical divisions occupied by means of the sign's vertical signal after which multiply with the aid of the vertical scale.
The better the amplitude, the better the power. To summarise, waves convey strength. The quantity of power they bring is associated with their frequency and their amplitude. The better the frequency, the greater electricity, and the better the amplitude, the more strength.
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A) [tex]y_{max}[/tex] [tex]= 2A[/tex]
B) [tex]y_{max}[/tex] [tex]= A[/tex]
C) [tex]y_{max}[/tex] [tex]= 0[/tex]
D) [tex]y_{max}[/tex] [tex]= A[/tex]
So the order is
{A), B) = D), C)}
A wave is a disturbance in a medium that transports energy without net movement of particles. This can take the form of elastic deformation, changes in pressure, electrical or magnetic strength, electrical potential, or temperature.
-It transmit energy.
-Usually it involves periodic repetitive movements.
-It does not result in net motion of the medium or particles in the medium
(mechanical waves).
Waves can be periodic, in which these quantities repeatedly oscillate around their equilibrium (rest) values at specific frequencies. If the entire waveform moves in one direction, it is called a traveling wave.
In contrast, a pair of superimposed periodic waves propagating in opposite directions form a standing wave. In a standing wave, the vibration amplitude has a zero point at some point where the wave amplitude appears smaller or even zero.
Waves are often described by the wave equation (the standing wave field of two opposing waves) or the unidirectional wave equation for propagation of a single wave in a defined direction.
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Four small spheres, each of which you can regard as a point of mass 0.200 kg, are arranged in a square 0.400 m on a side and connected by light rods.a. Find the moment of inertia of the system about an axis through the center of the square, perpendicular to the plane.b. Find the moment of inertia of the system about an axis connecting two opposite sides of the square.c. Find the moment of inertia of the system about an axis that passes through the centers of the upper left and lower right sphere and through the center of the square.
The moment of inertia of the system about an axis through the center of the square, perpendicular to its plane is [tex]$0.0636 \mathrm{~kg}-\mathrm{m}^2$[/tex].
What is moment of inertia?
The moment of inertia, otherwise known as the mass moment of inertia, angular mass, second moment of mass, or most accurately, rotational inertia, of a rigid body is a quantity that determines the torque
Given data:
The mass of each sphere is, [tex]$m=0.200 \mathrm{~kg}$[/tex].
Length of side of square is, [tex]$L=0.400 \mathrm{~m}$[/tex].
The expression for the moment of inertia of the system about an axis through the center of the square, perpendicular to its plane is,
[tex]$I=4 m R^2$[/tex]
Here,
[tex]$\mathbf{R}$[/tex] is the distance between center of the square and the sphere. And its value is,
[tex]$$\begin{aligned}& R=\frac{1}{2} \sqrt{L^2+L^2} \\& R=\frac{1}{2} \sqrt{0.400^2+0.400^2} \\& R=0.282 \mathrm{~m}\end{aligned}$$[/tex]
Then, moment of inertia is,
[tex]$$\begin{aligned}& I=4 \mathrm{~m} R^2 \\& I=4 \times 0.200 \times 0.282^2 \\& I=0.0636 \mathrm{~kg}-\mathrm{m}^2\end{aligned}$$[/tex]
Thus, the moment of inertia of the system about an axis through the center of the square, perpendicular to its plane is [tex]$0.0636 \mathrm{~kg}-\mathrm{m}^2$[/tex].
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7. All elements are composed of
Answer:
atoms
Explanation:
atoms the smallest unit of matter which can be identified as an element
basilisk lizards can run across the top of a water surface (fig. 9-52). with each step, a lizard first slaps its foot against the water and then pushes it down into the water rapidly enough to form an air cavity around the top of the foot. to avoid having to pull the foot back up against water drag in order to complete the step, the lizard withdraws the foot before the water can flow into the air cavity. if the lizard is not to sink, the average upward impulse on the lizard during this full action of slap, downward push, and withdrawal must match the downward impulse due to the gravitational force. suppose the mass of a basilisk lizard is 90.0 g, the mass of each foot is 2.53 g, the speed of a foot as it slaps the water is 1.08 m/s, and the time for a single step is 0.417 s. (a) what is the magnitude of the impulse on the lizard during the slap? (assume this impulse is directly upward.) (b) during the 0.417 s duration of a step, what is the downward impulse on the lizard due to the gravitational force? (clearly the push, not the slap, provides the primary support for the lizard.)
The magnitude of impulse acting directly upwards during the slap is -0.00273 N.s.
The magnitude of the impulse that is downward on the lizard due to the gravitational force is 0.375 kg.m/s.
Given that, mass of the basilisk lizard = 90 g = 90/1000 kg = 0.09 kg
Mass of each foot = 2.53 g = 0.00253 kg
Vf = 0
Vi = 1.08 m/s
Time taken for a single step is 0.417 s
I = Δp = Mf * (Vf - Vi ) = 0.00253* (0 - 1.08) = -0.00273 N.s
On each step, the basilisk lizard must provide an upward force that counters its weight which is equal to W= mg.
We know the formula for impulse acting downwards is, I = F Δt
It can also be written as I = W Δt = Ml* g Δt
Substituting the values in the above formula,
Ml*g Δt = 0.09* 10* 0.417 = 0.375 kgm/s
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use equation 2 from the lab manual to predict the speed of sound (in m/s) in air at 27o c. never include units with a numerical answer.
The speed of the sound in air at a temperature of 29 degree celsius is 10.9m/s.
The speed of sound at any particular temperature can be calculated by using the formula,
V = √yRT/M
Where,
V is the speed of sound,
y is the adiabatic constant,
R is the gas constant,
T is the temperature and M is the molecular mass.
We can assume the molecular mass of the air to be 29 g/mol.
Also we can assume the year to be a diatomic gas so the value of the adiabatic constant will be 1.4.
Now assigning all the values,
V = √1.4 x 8.31 x 300/29
V = 10.9 m/s.
So, the speed of the sound in the air at a temperature of 27 degree Celsius is 10.9m/s.
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❧ What is the dispersion of White Light?
When white light is passed through a glass prism it splits into its spectrum of colours (in order violet, indigo, blue, green, yellow, orange and red) and this process of white light splitting into its constituent colours is termed as dispersion.
What causes the dispersion of white light?Cause of Dispersion: When white light passes through a glass prism, its constituent colours (red, orange, yellow, green, blue, indigo, violet) travel with different speeds in the prism because refractive index is color dependent. This causes the dispersion of light.The bending of the colors when they pass through the prism depends on its wavelength. So violet color has a shortest wavelength as a result it bends the most and followed by indigo, blue, green, yellow, orange and red respectively.The splitting of light into its component colors is called dispersion of light. Dispersion of white light can be done by a glass prism. The inclined refracting surface of a glass prism shows this phenomena.When a prism is placed in a room and a beam of white light is allowed to fall on one of its refracting faces. It is found that light coming out from the other face of the prism is split into seven colors (violet, indigo, blue, green, yellow, orange, red).To learn more about White light refer to:
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a block of mass 500 g is attached to a horizontal spring, whose force constant is 25.0 n/m . the block is undergoing simple harmonic motion with an amplitude of 6.00 cm . at t
The block is undergoing simple harmonic motion with an amplitude of 6.00 cm . at t = 0.325343 sec.
What is simple harmonic motion ?
Simple harmonic motion is defined as a periodic motion of a point along a straight line, such that its acceleration is always towards a fixed point in that line and is proportional to its distance from that point.
given
mass of block(m) = 500 g
force constant (k) = 25.0 N/m
we know simple harmonic motion equation as
y = A sin (ωt + Φ)
where [tex]$\Phi=\sin ^{-1}(-4 / 6)$[/tex]
so we get
[tex]$\Phi=-0.729727656 \mathrm{rad}$[/tex]
and we know
[tex]$$\begin{aligned}& \omega=\sqrt{\frac{k}{m}} \\& y=A \sin \left(t \sqrt{\frac{k}{m}}-0.729727656\right)\end{aligned}$$[/tex]
now substitute the values we get as
[tex]$$\begin{aligned}& \mathbf{y}=\mathbf{0 . 0 6} \mathbf{m} \\& \left.0.06=0.06 \sin \left(t \sqrt{\left(\frac{25}{0.5}\right.}\right)-0.729727656\right) \\& \left(t \frac{25}{0.5}-0.729727656\right)=\frac{\pi}{2}\end{aligned}$$[/tex]
on solving these equation we get[tex]$t=0.325343 \mathrm{sec}$[/tex]
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Suppose that current flows in a horizontal conducting loop such that the magnetic flux produced by the current points upward.
As viewed from above, in which direction does this current flow? a. A
b. B
The current will be flowing in an anti-clockwise direction.
We consider a current carrying loop according to the question lying horizontally, say X-Y plane , the magnetic flux has a direction pointing upwards.According to Lenz law, the direction of induced emf is such that it always opposes the cause of effect.In order to find the direction of the current flowing in the loop we can use the screw / right hand thumb rule by curling our fingers in the direction of the magnetic flux and the thumb of the right hand will point towards the the direction of the current flowing in the coil.According to the situation, the direction of the current comes out to be anti - clockwise when viewed from the above of the coil . From below of the coil the direction of the current will be reversed and it will turn clockwise.To know more about magnetism visit:
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Assignment 6.3: PRESSURE IN WATER PIPE
Water is flowing smoothly through a closed pipe system. At one point the speed of
water is 3 ms, while at another point 3 m higher, the speed is 4 ms. At lower
point the pressure is 80 kPa. Find the pressure at the upper point.
The pressure of water at the upper point of the closed pipe system is 47,100 Pa.
What is the pressure of water at the upper point?
The pressure of water at the upper point is calculated by applying Bernoulli's equation as shown below;
P₂ = (P₁ + ¹/₂ρv₁² + ρgh₁) - ( ¹/₂ρv₂² + ρgh₂)
where;
P₁ is the pressure at the lower point = 80 kPa = 80,000 Pav₁ is the velocity at the lower point = 3 m/sh₁ is the height at the lower point = 0 mv₂ is the velocity at upper point = 4 m/sh₂ is height at the upper point = 3 m ρ is density of water = 1,000 kg/m³P₂ = (P₁ + ¹/₂ρv₁² + ρg(0)) - ( ¹/₂ρv₂² + ρgh₂)
P₂ = (P₁ + ¹/₂ρv₁²) - ( ¹/₂ρv₂² + ρgh₂)
The pressure of water at the upper point of the closed pipe system is calculated as follows;
P₂ = ( 80,000 + ¹/₂(1000)(3)² ) - ( ¹/₂(1000)(4)² + (1000 x 9.8 x 3) )
P₂ = 84,500 - 37,400
P₂ = 47,100 Pa
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