The correct option is (a). Potential energy arises when we consider only conservative forces.
Indeed, potential energy has a conservative nature. Conservative forces in physics are ones where the work performed by the force on an object traveling along a straight line depends only on the object's beginning and final positions, and not on the path traveled. Conservative forces and potential energy have a close relationship.
A force is said to be conservative if it moves an object between two points without regard for the direction it travels. Potential energy is the energy related to the placement or arrangement of an object within a force field.
Hence, the correct option is (a). Potential energy arises when we consider only conservative forces.
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#Complete question is:
(a) We consider only conservative forces
(b) The system is isolated
(c) The thermal energy can be neglected
(d) the work from external forces is zero
(e) Interactions are included within the system
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 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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(figure 1) shows five identical light bulbs a-e connected to a battery. initially, some of the bulbs light up because the two terminals of each bulb are connected to opposite terminals of the battery. if any wire in the circuit is cut, some bulbs may go out. figure1 of 1 part a part complete which bulbs, if any, go out when a single cut is made at location a? check all that apply. a b c d e none previous answers correct part b which bulbs, if any, go out when a single cut is made at location b? check all that apply. which bulbs, if any, go out when a single cut is made at location ?check all that apply. a b c d e none request answer part c which bulbs, if any, go out when a single cut is made at location c? check all that apply.
Figure shows five identical light bulbs a-e connected to a battery.
Part A: The potential at points 1 and 3 is different because of the internal resistance of B, so B is already glowing.
Part B: If a cut is made at point b, then no bulb will go out because C is already fused.
Part C: If a cut is made on C, then no bulb will go out because D and E were already fused.
What is the potential difference?When two places in a circuit contain different amounts of charge carriers' energy, this is referred to as a potential difference.
Part A:
Use the concept of potential difference to understand this question.
The bulb will only be lit when there is some potential difference. If the potential difference is zero, then the bulb will not light.
First, redraw the diagram and shown it below:
The potential at points 1 and 3 is different because of the internal resistance of B, so B is already glowing.
Part B
The potential at points 3 and 4 is the same because there is no resistance between them and the potential across C is 3 and 4. So, the potential difference is zero across C and it was already fused.
So, if a cut is made at point b, then no bulb will go out because C is already fused.
Part C
The potential at points 2, 4, 5, and 6 is the same. The potential across D and E is 5 and 6. The potential difference is zero across them, so they were already fused.
If a cut is made on C, then no bulb will go out because D and E were already fused.
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The complete question is as follows:
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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❧ 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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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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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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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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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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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:
This one is a challenge
A motorcycle traveled north along a straight path for 2.22 hours with an average velocity of 67.8 km/h, stopped for 20.0 min, then traveled north for 3.33 hours with an average velocity of 77.7 km/h.
What is the average velocity for the trip?
What is the displacement for the entire trip?
Answer:
Explanation:
1 track section:
V₁ = 67.8 km/h
t₁ = 2.22 h
2nd track section:
V₂ = 0 km/h
t₂ = 20.0 min = (1/3) h ≈ 0.33 h
3 track section:
V₃ = 77.7 km/h
t₃ = 3.33 h
___________
V - ?
D - ?
Length of 1 track section:
D₁ = V₁·t₁ = 67.8·2.22 ≈ 150.5 km
Length 2 sections of track:
D₂ = V₂·t₂ = 0·0.33 = 0 km
Length 3 sections of track:
D₃ = V₃·t₃ = 77.7·3.33 ≈ 258.7 km
Summary path:
D = D₁ + D₂ + D₃ = 150.5 + 0 + 258.7 = 409.2 km
Total time:
t = t₁ + t₂ + t₃ = 2.22 + 0.33 + 3.33 = 5.88 h
Average speed:
V = D / t = 409.2 / 5.88 ≈ 69.6 km/h
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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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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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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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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Many satellites move in a circle in the Earth's equatorial plane. They are at such a height above the Earth's surface that they always remain above the same point. Such an orbit is said to be geosynchronous. Find the altitude of these satellites above the Earth's surface.
a) The altitude of these satellites above the Earth's surface is h = 3,588 10⁷ m , b) by the curve of the planet; consequently, the signals cannot reach these places
What is law of universal gravitation?
For this issue we must use the law of universal gravitation, with Newton's second law
F = m a
G m M / r² = m a (1)
Centripetal acceleration
a = v² / r
How the speed (speed) module is constant
v = d / t
Circle the distance in a complete orbit with a time (T) called period
d = 2π r
v = 2π r / T
a = (4π² r² / T²) / r
We substitute in equation 1
G M / r² = 4π² r / T²
G M / r³ = 4π² / T²
r = ∛ GM T² / 4π²
R is the distance from the center of the earth, the distance from the surface is
R = Re + h
Re + h = ∛ GM T²/ 4π²
h = ∛(G M T²/4π²) - Re
Let's reduce to SI units
T = 1 day (24h / 1 day) (3600s / 1h)
T = 86400 s
Let's calculate
h = ∛ (6.67 10⁻¹¹ 5.98 10²⁴ (8.6400 10⁴)² / 4π²) - 6.37 10⁶
h = ∛ (75.42 10²¹) - 6.37 10⁶
h = 4,225 10⁷ - 0.637 10⁷
h = 3,588 10⁷ m
b) In the attached you can see that for very large latitudes the linear path from the satellite to the earth is interrupted, by the curve of the planet; consequently, the signals cannot reach these places.
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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 -
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:
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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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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Figure shows objects with charges. Show from which object the electrons flows. State why. In
which of these figures do you get a static electric spark? Draw the spark on the figure.
It is to be noted that the electron flows occur in Figures (a) and (d).
What is the rationale for the above answer?The total number of electrons in the left plate is equal to the total number of positive charges in the right plate in Figure (a). As a result, no electron flow occurs here. A static electric spark does not occur.
The left plate in Figure (b) has three negative charges and three positive charges. The right plate, on the other hand, has five negative charges and one positive charge. As a result of the neutralization effect, the plates now have additional negative charges. As a result of the extra electrons present, a static electric spark occurs.
The identical thing happens in Figure (c) as it does in Figure (b). As a result, an entire static electric spark happens here as well. The complete negative charges on the right plate are flowing toward the ground in Figure (d). As a result, the left side plate has total negative charges while the right side plate has total positive charges.
As a result, we can see that the electrons flow in Figures (a) and (d). While figures (b) and (c) show static electric sparks.
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Full Question:
See attached image
Stanley Milgram Shock experiment participants gave intense electric shocks to strangers if they were asked to do so by the experimenter No shocks were actually delivered but the participants believed that they were delivering the shocks and kept shocking the stranger (who was really an actor seated in another room) as punishment for responding incorrectly to a word problem
The Milgram Experiment with Shock By Saul McLeod, 2017 update One of the most well-known experiments on obedience in psychology was conducted by Yale University psychologist Stanley Milgram.
He conducted an experiment that looked at the tension between following orders and one's conscience. Stanley Milgram, a social psychologist at Yale University, conducted the Milgram experiment (or experiments) on compliance to authoritative persons. November 5, 2018 revision. Stanley Milgram, a psychologist, investigated the ideas of submission and authority in a number of research in the 1960s. His studies comprised giving study participants orders to shock an actor in a different room with shocks of increasing voltage; the actor would scream at first and then go silent as the shocks grew stronger.
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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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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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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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total internal reflection can occur when light is traveling from air to its interface with water air to its interface with glass glass to its interface with air water to its interface with glass click here to check your answer 11.11 pts.100% 25% try penalty
The total internal reflection can occur when light is traveling from glass to its interface with air.
Total internal reflection occurs when light moves from denser to rarer and the angle of incidence is greater than the critical angle.
Total Internal Reflection occurs when light travels from water to air, but it does not occur when light travels from air to water. Total Internal Reflection would occur for light travelling from water to air, but not for light travelling from water (n=1.333) to crown glass (n=1.52). TIR occurs when the angle of refraction approaches 90 degrees before the angle of incidence approaches 90 degrees. Light can only bend away from the normal if the angle of refraction is greater than the angle of incidence. Because light only bends away from the normal when passing from a denser medium to a denser medium, this would be a necessary condition for total internal reflection.
Thus, TIR occurs when light is travelling from glass towards air.
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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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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 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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Each item below can be used to measure the distances of astronomical objects. Rank them according to how far away each method works, from nearest to farthest.
1. Cepheids
2. Radar ranging
3. White dwarf supernovae
4. Parallax
Radar ranging, parallax, Cepheids, white dwarf supernovae
Each item below can be used to measure the distances of astronomical objects. Rank them according to how far away each method works, from:
Radar ranging > parallax > Cepheids > white dwarf supernovae
The plain displacement or the difference in apparent course of an item as seen from specific factors not on a immediately line with the item. especially : the angular distinction in direction of a celestial frame as measured from two points on the earth's orbit.
Parallax is the discovered displacement of an item due to the trade of the observer's point of view. In astronomy, it's far an irreplaceable tool for calculating distances of some distance away stars.
Parallax mistakes is whilst the pointer of a device looks like it is at a special analyzing when study to the aspect in comparison to when examine face-on. This is because of the gap among the size and the pointer.
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