a)When the metal ball leaves the tray, the tray will be 10.78 cm above point A.
b) The total time between the system being released at point A and the ball leaving the tray is 0.086 seconds.
c) The speed of the ball as it exits the tray is 1.175 m/s.
Given,
Mass of tray , m_t=1.90 kg
spring of force constant, k = 200N/m
mass of the ball, m_b = 300 g
Height below the equilibrium point A = 16.4 cm
a)
The tray's height above point A when the metal ball leaves it- The total mass of the tray and ball is 2.2 kg (1.90kg+0.3 kg). The spring force is equal to the product of the spring constant and displacement.Thus,
f=kx
but we know that, f=mg
equating both the equations
[tex]mg=kx\\\\2.2*9.8=200*x\\\\21.56=200x\\\\x=\frac{21.56}{200}\\\\x=0.1078 m=10.78 cm[/tex]
As a result, the tray is pushed down 17.4 cm below its equilibrium point (point A) and released from rest. Thus, the tray's position above point A is h=16.4+10.78=27.18 cm.
b)
The total amount of time that passes between releasing the system at point A and the ball leaving the tray.
The formula for the simple harmonic function of a spring is as follows:
[tex]y=Acos(\sqrt{\frac{k}{m}}-\phi)[/tex]
Here,
y= displacement = 10.78 cm
A=amplitude i.e 16.4 cm
k= spring constant = 200 N/m
m= total mass = 2.2 kg
and [tex]\phi = 0 \degree[/tex]
[tex]10.78=16.4cos(\sqrt{\frac{200}{2.2}}t-0)\\\\\frac{10.78}{16.4}=cos(\sqrt{90.909}t)\\\\0.657=cos(9.534t)\\\\cos^{-1}(0.657)=9.5434t\\\\0.829=9.543 t\\t=\frac{0.829}{9.543}\\\\t=0.086 s[/tex]
c)
The speed at which the ball moves as it exits the tray
The total mechanical energy for simple harmonic motion of a spring can be given as,Here, take the distance measurements in meters
[tex]\frac{1}{2}mv_y^2+\frac{1}{2}ky^2=\frac{1}{2}kA^2\\\\v_y^2=k\frac{A^2-y^2}{m}\\\\v_y^2=200*\frac{0.164^2-0.1078^2}{2.2}\\\\v_y^2=90.909(0.0268-0.0116)\\\\v_y^2=1.38\\\\v_y=1.175 m/s[/tex]
Thus, the speed of ball is 1.175 m/s
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a car is traveling at 16 m/s . part a how fast would the car need to go to double its kinetic energy? express your answer with the appropriate units.
Answer: 22.63 m/s
Explanation:
Not sure if this is the right answer.
[tex]\frac{1}{2} m(v)^2=2(\frac{1}{2} m(16)^2 )[/tex]
[tex]\frac{1}{2} (v)^2=(16)^2[/tex]
[tex]v = 22.63 \frac{m}{s}[/tex]
1.) What would a person who weighs 625N on Earth weigh on a planet that has the same mass as Earth but half its radius?
2.) A man whose mass is 95kg on Earth’s surface is in a spacecraft at a height of twice Earth’s radius (that is, R is 3 Earth radii) above Earth’s surface. What is his mass (not weight) there?
Answer:
Below
Explanation:
1) Gravity force =~ m1 m2 / r^2 now half the radius
= m1 m2 / ( 1/2r)^2 = 1/4 m1m2/r^2 so the force will be 1/4
625 * 1/4 = 156.25 N
2) mass does not change..it is a measure of the amount of mass an object has .... it will still be 95 kg
Which of the following EM waves travel the fastest through a vacuum? Choose all that apply. X-rays Low-Frequency EM Waves Ultraviolet Blue Light Gamma Rays
Since electromagnetic moves in waves, it all moves through such a vacuum at a pace of around 3.0 * 108 metres per second.
What is electromagnetic and how does it work?Coils of metal with electricity running through them make up electromagnets. An electromagnet's wire coils act like magnets when an electric current runs through them because moving charges produce electric flux.
What are 5 examples of electromagnetic?Microwaves, microwaves, heat, visible light, violet, x-rays, and gamma rays are all examples of radio energy. Electromagnetic waves have the least frequency, amplitude, and height.. Gamma rays are the most potent, common, and short-spectrum photons.
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what is the magnitude of the momentum of a 0.140 kg baseball traveling at 45.0 m/s?; impulse: in a collision between two unequal masses, which mass receives a greater magnitude impulse?; a 0.140 kg baseball traveling 35.0 m/s; a 0.140 kg baseball is dropped and reaches a speed of 1.20 m/s; two ice skaters push off against one another; a 100g ball falls from a window that is 12 m; a rubber ball and a lump of clay
Thus, the baseball's momentum is measured as 6.3kg/m/s (6.3 kg/m/s).
What is the size of the average force the ball applies to the bat?
The average force acting during the bat-ball collision is therefore about two tons, with a peak force of nearly four tons, during the 0.7 millisecond contact time. There's a lot of force there.
What is the connection between collision and momentum?
During collisions between objects, momentum is a relevant concept. The total momentum before a collision between two objects equals the total momentum after the impact (in the absence of external forces). The law of conservation of momentum is this. It holds true in every collision.
What is the system's momentum following the collision?
The total momentum of two objects does not change when they collide. The sum of the individual momenta of the objects, both before and after the collision, is the total momentum. The product of an object's mass and velocity, expressed in kilogram meters per second, determines its momentum.
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you are heading toward an island in a speedboat and you see your friend standing on the shore, at the base of a cliff. you sound the boat's horn to alert your friend of your arrival. the sound from the boat hits the cliff behind your friend and returns to you as an echo. part description answer save status a. if the horn has a rest frequency of f0, what frequency does your friend hear? lower than f0 equal to f0 higher than f0 click here to check your answer 6.25 pts.100%
The frequency heard is greater than frequency [tex]f_{0}[/tex].
This happens because of doppler's effect.
When the source and observer are moving relative to each other, the frequency observed by the observer (fa) is different from the actual frequency produced by the source (f0)Here, when the source of waves is moving towards the observer they will have an upward shift in frequency. As for the observers from whom the source is receding, there will be a downward shift in frequency.However, it should be noted that the effect does not occur as a result of the actual change in the frequency of the wave source. The main reason that we experience the Doppler effect is that as the wave source moves toward the observer, each new wave crest that is formed from the source is emitted from a location that is closer to the observer.Therefore, as the source moves closer and closer the waves will now take less time to reach the observer or the time between the arrivals of new wave crests is reduced. This further causes an increase in frequency.To know more about sound visit:
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Consider a car that travels between points A and B. The car's average speed can be greater than the magnitude of its average velocity, but the magnitude of its average velocity can never be greater than its average speed. A) True B) False
The magnitude of its average velocity can never be greater than its average speed. It is true .
What does average velocity mean?The change in position or displacement (x) divided by the time intervals (t) during which the displacement happens is the definition of average velocity. Based on the direction of the displacement, the average velocity might either be positive or negative. Meters per second (m/s or ms-1) is the SI measure for average velocity.
An object's average velocity (v) is equal to the sum of its starting and final velocities (u), divided by two.
The average velocity of an object is its displacement over time. We divide the distance travelled by the amount of time to determine an object's average speed. We are aware that velocity is a vector quantity, and that dividing displacement by time yields the average velocity.
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May someone please give me a hand?
circuit diagram
this is a circuit diagram
a barrel will rupture when the gauge pressure within it reaches 350 kpa. it is attached to the lower end of a vertical pipe, with the pipe and barrel filled with oil \rho
The pipe will be 40.1 meter if the barrel is not to rupture.
What is fluid pressure?The pressure exerted by a fluid at equilibrium at any point due to the force of gravity is known as fluid pressure.
Given that: fluid pressure is: p = 350 kPa = 350 * 1000 Pa = 350000 Pa.
Density of fluid is: ρ = 890 kg/m^3.
Let the height of the pipe is h.
Hence, from the formula of P = hρg we get: the height of the pipe is:
h = P/ρg
= 350000/(890×9.8) m
= 40.1 meter.
So, the pipe is 40.1 m long.
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Classify the characteristics as describing the atmosphere of Saturn, the atmosphere of Jupiter, or the atmosphere of both. Saturn's atmosphere Jupiter's atmosphere Both Answer Bank oval storm system proportionally less bellum differential rotation fewest obvious features invisible light Answer Bank oval storm systems proportionally less helium differential rotation fewest obvious features in visible light composed of mostly hydrogen and helium most colorful in visible light thinner atmosphere Image credit: NASA
Saturn's Atmosphere :-Proportionally less helium, Thinner Atmosphere, Most colorful in visible light, Composed of hydrogen and helium.
Jupiter's Atmosphere :- Oval stroma systems, Differential Rotation, Fewer observers features in light.
Electromagnetic radiation that the human eye can see is referred to as light or visible light. Typically, visible light is characterized as having wavelengths in the 400–700 nanometer (nm) range, which corresponds to frequencies of 750–420 terahertz, lying between the infrared (with longer wavelengths) and the ultraviolet (with shorter wavelengths) (with shorter wavelengths).
In physics, the term visible light" can more widely be used to refer to electromagnetic radiation of any wavelength, whether or not it is visible.
This definition of light includes gamma rays, X-rays, microwaves, and radio waves. The main characteristics of light include intensity, polarization, frequency or wavelength spectrum, and propagation direction. One of nature's basic constants is the speed of light in a vacuum, which is 299 792 458 meters per second (m/s). Visible light travels through space by, like all forms of electromagnetic energy,
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jose is standing on the beach along the shoreline. using his cellphone as a stopwatch, he records the time it takes for ten waves to crash to his feet. Which of the following waves characteristics is he mesuring? A. Frequency B. Ampltiude C. Wave Speed D. Wave Length
Jose uses his cellphone as a stopwatch, he records the time it takes for ten waves to crash to his feet therefore the waves characteristics which he is measuring is referred to as the frequency and is denoted as option A.
What is a Wave?This is referred to as a disturbance or variation that transfers energy progressively from point to point in a medium without the actual movement of the molecules.
Frequency on the other hand is referred to as the number of waves that pass a fixed point in a given amount of time and its unit is Hertz which is therefore the reason why it was chosen as the correct choice.
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three identical blocks, X, Y, and Z, hang up from identical strings, as shown in the figure. which of the following free-body diagrams could represent the forces exerted on block Y?
The free-body diagram that could represent the forces exerted on block Y is upward tension force due to block X and downward tension force due to block block Z and its own weight.
option D is the correct answer.
What is free body diagram?A free-body diagram is a sketch of all the forces acting on the given object with all the surrounding objects stripped away and all of the forces acting on the body shown in their respective direction.
For the three identical blocks, X, Y, and Z, hang up from identical strings, as shown in the figure, the following are the direction of the forces acting on the string.
weight of block X -----> acting downwards
weight of block Y ------> acting downwards
weight of block Z ------> acting downwards
According to Newton's third law of motion, acting and reaction are equal and opposite.
As the weight of the blocks are acting downwards, the tension in the rope supporting the weights will be acting upwards.
The total weights of the = downward force of gravity
The tension in the string = upward tension force
The free body diagram is sketched as;
↑ F (Tension Up)
Ф
↓ ↓ F (Gravity) + F (tension down)
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calculate the angular momentum of earth in its orbit around the sun. express your answer in si units
Angular Momentum = Angular velocity * Moment of Inertia
[tex](L=I\cdot \omega)[/tex]
[tex]Angular velocity = \omega = \frac{2 \pi}{T} = \frac{2 \pi}{24 \cdot 60 \cdot 60 sec}=\frac{\pi}{12\cdot 3600} rads/sec[/math][/tex]
[tex]Moment of inertia of a uniform sphere = \frac{2}{5}Mr^2\\ = \frac{2}{5}5.972 \times 10^{24} kg \cdot (6.371\times 10^6 m)^2[/tex]
Angular Momentum of Earth rotating on its axis (assuming that Earth is a solid sphere with its mass distributed evenly):
[tex]L=I\cdot \omega= \frac{\pi}{12\cdot 3600} rads/sec \cdot \frac{2}{5}5.972 \times 10^{24} kg \cdot (6.371\times 10^6 m)^2=\frac{\pi\cdot 2\cdot 5.972 \times 10^{24} \cdot(6.371\times 10^6)^2}{12\cdot 3600\cdot 5} kg m^2 / s = 7.051\times 10^{33} kg m^2 / s[/tex]
What is angular momentum?
The rotating equivalent of linear momentum in physics is called angular momentum. Because it is a conserved quantity—the total angular momentum of a closed system stays constant—it is a significant physical quantity. Both the direction and the amplitude of angular momentum are conserved.
Hence, the answer is [tex]7.051\times 10^{33} kg m^2 / s[/tex]
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What forces are acting on an airplane as it flies at a constant velocity through the air?; When the plane is flying at a constant height which two forces must be balanced?; Which two forces must be balanced if the airplane is to fly at a constant forward velocity?; Is an airplane cruising in level flight a balanced or unbalanced force?
Thrust, drag, lift, and weight is the forces that act on all aircraft in flight.
Thrust is the forward force produced by the propulsion unit/propeller or rotor.
Drag is the backward force caused by the disturbance of airflow by the wing, rotor, fuselage, and other objects.
When the plane is flying at a constant height, the force of thrust must equal the opposite force of drag, then only the airplane can experience uniform motion in one direction.
All four forces act on an airplane must equate to each other for an airplane to fly straight and level at a constant speed, the lift it creates balances its weight, and the thrust it creates balances its drag.
An unbalanced force changes the equilibrium state of a body. As with an aircraft cruising in level flight, the weight of the aircraft will equally lift and thrust will equal drag. So, the plane experiences a balanced force.
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A block of mass m pulled with constant velocity over a floor by a force T inclined at an angle theta with the floor. The coefficient of friction between the block and the floor in mu. It is a box on floor drawn by a cord half way down fron edge at an angle of about 30 degrees from horizontal. No actual dimensions. The magnitude of the vertical component of the force exerted on the block by the floor is:a. mgb. mg-T cos thetac. mg+T cos thetad. mg-T sin thetae. T sin theta
The floor's force on the block, measured in terms of its vertical component, is expressed as follows: mg- t sin theta
What is the friction coefficient?The resistive friction force (Fr) multiplied by the normal or horizontal force (N) forcing the objects together yields the coefficient of friction (fr), which is a numerical value. It can be represented by the equation fr = Fr/N.
What is a force?A push or pull that an object experiences as a result of interacting with another item is known as a force. Every time two items interact, a force is exerted on each of the things. Newton(N) F=ma stands for the Si system of force.
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The goal of behavior modification is to
.repair troubled or broken relationships.
.unearth the origin of maladaptive behavior.
.change clients’ maladaptive or undesirable behaviors.
.modify the clients’ personality structure.
The goal of behavior modification is to change clients' maladaptive or undesirable behaviors. Behavior modification is a psychological treatment approach that focuses on changing problematic behaviors by reinforcing desirable behaviors and reducing the reinforcement of undesirable behaviors. It involves identifying the specific behaviors that need to be modified, setting goals for behavior change, and using techniques such as positive reinforcement, punishment, and extinction to modify the behaviors. The goal of behavior modification is not to repair troubled or broken relationships, unearth the origin of maladaptive behavior, or modify the clients' personality structure. These may be addressed as part of the treatment process, but they are not the primary focus of behavior modification.
heat is transferred at a rate of 2 kw from a hot reservoir at 775 k to a cold reservoir at 300 k. calculate the rate at which the entropy of the two reservoirs changes. (round the final answer to six decimal places.) the rate at which the entropy of the two reservoirs changes is kw/k. is the second law satisfied? (click to select)
the rate at which the entropy of the two reservoirs changes is 0.004081 KW/K
Yes, the second law is satisfied.
claculation :
ΔS = Q/T (entropy formula)
ΔS1 = 2/300 = 0.006667 KW/K
ΔS2 = 2/715 = 0.002580
Δs = 0.006667 - 0.002580
Δs = 0.004081 KW/K
Yes, the second law is satisfied.
Entropy is a scientific concept and a measurable physical property most commonly associated with states of disorder, randomness, or uncertainty. The term and concept are used in a variety of fields, from classical thermodynamics, where it was first recognized, to microscopic descriptions of nature in statistical physics, to principles of information theory. It finds a wide range of applications in information systems, including information transmission in chemistry and physics, the relationship between biological systems and life, cosmology, economics, sociology, weather science, climate change, and communications.
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White light (400-700 nm) incident on a 600 line/mm diffraction grating produces rainbows of diffracted light.
What is the width of the first-order rainbow on a screen 2.0 m behind the grating?
the width of the first-order rainbow on a screen 2.0 m behind the grating is Δy=0.431m
Briefly:-Finding the angle from a diffraction grating with split space d is necessary to get the fringe location ym.
dSinα=mλ
Slit spacing for a grating with N slits or lines per mm is
d=1/N
d=(1/600mm)
d=1.67×10⁻³mm
At a wavelength of 400 nm:
α=Sin⁻¹(mλ/d)
α=13.9°
The first order lowest wavelength fringe is located in the following location on the screen:
y1= Ltanα
y1=.49445m
For 700nm wavelength:
α=Sin⁻¹(mλ/d)
α=24.8°
The first order highest wavelength fringe is located in the following location on the screen:
y2= Ltanα
y2= .99255m
The first order lowest and highest wavelength fringe's difference is
Δy=(0.925595 - 0.49445)m
Δy=0.431m
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Two ball bearings from different manufacturers are being considered for a certain application Bearing A has a catalog rating of 2.0 kN based on a catalog rating system of 3000 hours at 500 rev/min. Bearing B has a catalog rating of 7.0 kN based on a catalog that rates at 10^{6 cycles. For a given application, determine which bearing can carry the larger load.
CB =7 KN , Since CA > Cg bearing A can carry the larger load.
In order to compare the bearings, both bearings need to be rated in
terms of same catalog rating.
Calculation :
Calculate basic load rating for bearing A for one million
revolutions.
CA = FA[tex](\frac{LA}{LR} )^{1/a}[/tex]
= [tex]2(\frac{3000*500*60}{10^{6} } )^{1/3}[/tex]
= 8.96kN
Bearing B already is rated at one million revolutions, CB =7 KN
Since CA > Cg bearing A can carry the larger load.
Bearings are mechanical elements that limit relative motion to a desired degree and reduce friction between moving parts. The bearing design can, for example, provide free linear motion of the moving part or free rotation about a fixed axis. Alternatively, movement can be prevented by controlling the normal force vector acting on the moving part. Most bearings facilitate the necessary movement by minimizing friction. Bearings are broadly classified according to the type of motion, permissible motion, and the direction of load (force) applied to parts.
Slewing bearings support rotating components such as shafts and axles in mechanical systems, transferring axial and radial loads from the load source to the supporting structure. Plain bearings, the simplest type of bearing, consist of a shaft that rotates in a bore.
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the term mechanical weathering refers to changes in a rock that are physical; there is little or no chemical change. True or False ?
The term which is called as mechanical weathering always refers to the changes in a rock which are physical and there is no or very little chemical change. So, it's True.
Mechanical weathering (additionally known as bodily weathering) breaks rock into smaller portions. These smaller portions are similar to the larger rock, simply smaller. That means the rock has modified bodily with out converting its composition. Mechanical weathering is likewise called bodily weathering. In this kind of weathering, a huge rock is disintegrated into smaller portions of rocks.
When rocks crumble or split with out experiencing any alternate of their chemical composition, it's far called mechanical weathering. The assertion approximately mechanical weathering that isn't genuine is includes a chief alternate withinside the mineral composition of the weathered material. Mechanical weathering breaks rocks down into smaller fragments, and will increase the floor location of the over all material. By growing the floor location, chemical strategies may also act extra without problems upon the rock floor.
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if the magnitude of the net force acting on the particle is f , how long does it take the particle to acquire its final velocity, 2v in the positive y direction? express your answer in terms of m , f , and v . if you use a numerical coefficient, use three significant figures.
The final velocity, 2v in the positive y direction, is 2.24mv/F. The final velocity is in terms of mass, velocity, and force.
Given:
Initial velocity, Vi
Final velocity, Vf = 2v
Mass, m
Acceleration, a
The force is given by:
F=ma
The direction of force is in y direction and the acceleration is given by:
a=Fcosθ/m
From th first equation of motion:
Vf=Vi + at
The initial velocity is zero. Therefore, the final velocity is:
2v=0+ (Fcosθ/m)(t)
2mv / (Fcosθ) = t
If theta is equal to 26.6 degrees.
The final velocity is:
v = 2.24mv/F
Hence. the final velocity, 2v in the positive y direction, is 2.24mv/F. The final velocity is in terms of mass, velocity, and force.
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You want to siphon rainwater and melted snow from the cover of an above-ground swimming pool. The cover is 2.1 m above the ground. You have a plastic hose of 1.5 cm radius with one end in the water on the pool cover and the other end on the ground.
If you want to empty the pool cover in half the time, how much wider should the hose be?
Answer:
Below
Explanation:
You will need a hose with double the cross sectional area
Area = pi r^2
pi * (1.5)^2 = 2.25 pi
now double it to 4.5 pi and solve for r
4.5 pi = pi r^2
4.5 = r^2 r = 2.12 cm radius
2.12 - 1.5 = the hose radius should be increased .621 cm
this would be .621 * 2 = 1.24 cm wider
8. The cue ball strikes the 8 ball slightly off center during a game of pool. After the collision
the cue ball is traveling southeast (135 degree bearing) at 1.2 m/s and the 8 ball travels
ten degrees west of south (190 degree bearing) at 1.4 m/s. Using conservation of
momentum, find the initial velocity of the cue ball.
It is outnom el. 16Gol
his
The initial velocity of the cue ball is 0.92v.
What is initial velocity?Initial velocity is the velocity of an object at the beginning of its motion. It is the speed and direction of an object at the start of its motion and is used to determine the final velocity of the object. Initial velocity is also used to calculate acceleration and displacement.
cue ball can be calculated using the conservation of momentum formula, which states that the total momentum of a system before a collision is equal to the total momentum after the collision. Using the given data, the initial velocity of the cue ball can be calculated as follows:
Pbefore = Pafter
m1v1 + m2v2 = (m1+m2)v
m1v1 + 0.2v2 = (1.2 + 0.2)v
v1 = 1.2v - 0.2v2
v1 = 1.2v - 0.2(1.4)
v1 = 1.2v - 0.28
v1 = 0.92v
Therefore, the initial velocity of the cue ball is 0.92v.
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light of 650 nm wavelength illuminates two slits that are 0.21 mm apart. (figure 1) shows the intensity pattern seen on a screen behind the slits.
The distance of the screen is 107.7 meter.
What is interference of light?
When two coherent light waves from separate sources collide, the energy distribution caused by the first wave is altered by the second. The term "interference of light" refers to this alteration in the distribution of light energy brought on by the superposition of two light waves.
Given that: wavelength of light: λ = 650 nm = 650×10⁻⁷ cm.
separation between two slits: d = 0.21 mm = 0.021 cm.
According to fig. separation between two bright fringe: x = 1/3 cm
Now, from x = λD/d we get:
separation between the screen and the slits: D = xd/λ.
= (1/3× 0.021)/ 650×10⁻⁷ m
= 107.7 meter.
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A pressure vessel support bracket is to be designed so that it can withstand a tensile loading cycle of 0-500 MN/m2 once every day for 25 years. Which of the following steels would have the greater tolerance to intrinsic defects in this application: (i) a maraging steel (Ke-82 MNm-, C= 0.15 × 10-11, m-41), or (ii) a medium-strength steel (Kic 50 MN m1, C0.24x 10-", m 3.3)? For the loading situation a geometry factor of 1.12 may be assumed.
Ao for a maraging steel (82 M Nm-, C= 0.15 10-11, m-41) is equal to 58.2*10^-6m, and for a medium-strength steel, it is 40.6*10^-6m (50 MN m1, C0.24x 10-", m 3.3). The second case can be more tolerant.
Ultra-high-strength steel alloys, or maraging steels, are a unique class of low-carbon steel that have comparable ductility while being stronger and tougher than most other steels. A structure's capacity to safely withstand until repair can be made is known as damage tolerance. Based on the presumption that defects can exist in any building and that these problems spread with use, the approach to engineering design that takes damage tolerance into account.
9125 is equal to 2/c(1/stress)*pi1/2(2-m) (Afinal - A)
Ao = 58.2*10^-6m
9125 is equal to 2/c(1/stress)*pi1/2(2-m) (Afinal - Ao)
comparable to case two
Ao = 40.6*10^-6m
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write the magnetic flux through a single turn of the coil as a function of time. remember to use si units.
Weber (Wb) and tesla meter squared (Tm2), which is called after German scientist Wilhelm Weber, is the SI unit for magnetic flux.
How can you determine the magnetic flux passing through a coil?Using Faraday's law, it is possible to determine the size of the induced emf.The long coil's magnetic field has the formula B = 0(N/l)I.NBA = 0(N2/l)IA is the flow through the coil.
What's the formula again for rate at which magnetic flux changes over time?Emf=Nt is the equation for the induced emf brought on by an change in magnetic flux.Faraday's law of duction is the name given to this connection.Volts are used as usual as the emf measurement units.
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Constants A film contains a single thin slit of width a. When monochromatic light passes through this slit, the first two dark fringes on either side of the center on a distant screen are a distance x apart. Part A If you increase the width of the slit, these two dark fringes will move closer together. move farther apart. remain the same distance apart.
These two dark fringes will travel in closer proximity if the slit's width is increased for a Constants A film has just one a-width tiny slit. When this slit is open, monochromatic light enters.
The relationship between the slit width and the distance from the centre maximum to y is (m*(lamda)*D/a, where D is the separation between the slit and the screen and lamda is the wavelength of light, meaning that y is inversely proportional to 1/a. Therefore, monochromatic light is simply light of a single colour. It denotes light that has only one wavelength in scientific terminology. The term "light" refers to the visible and near-visible components of electromagnetic radiation. It is made up of propagating, perpendicularly oscillating sinusoidal waves in the magnetic and electric fields.
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A spring has an unstretched length of 10 cm. It exerts a restoring force F when stretched to a length of 11 cm.
a. For what length of the spring is its restoring force 3F?
b. At what compressed length is the restoring force 2F
a) The length for 3F force is : 13 cm
b) The length for 2F force is : 8 cm
The required length and compressed length of the spring at the given force values are 13 cm and 8 cm respectively.
Explanation:
F = ke
k = spring constant ;
e = extension;
e = (Final length - Initial length)
Initial length, l = 10
Final length = L1 = 11
F = k(11 - 10)
F = k;
Length for a restoring force of 3F ;
3F = k(Final length - Initial length)
k = F
3F = F(L1 - 10)
3F = - 10F + F(L1)
F(L1) = 3F + 10F
F(L1) = 13F
L1 = 13
Hence, required length ls 13 cm
B.)
Let compressed length = c
2F = F(initial length - compressed length)
2F = F(10 - c)
2F = 10F - F(c)
F(c) = 10F - 2F
F(c) = 8F
c = 8F / F
c = 8 cm
Therefore, the required compressed length ls 8 cm
Spring:
A spring is an elastic body that stores mechanical energy. Coil springs are often used in daily life, but there are many different types of springs. Modern quills are usually made of spring steel, but non-metallic items like bows are also quills.
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In photography; exposure is the amount of light allowed to strike the film_ Exposure can be adjusted by the number of stops used to take a photograph: The change in the number of stops n needed is related to the change in exposure c by n 10g2 A. How many stops would a photographer use to triple the exposure? B. How many stops would a photographer use to get 5 the exposure?
n = number of stops
c = change in exposure
n = log₂ C ..........(1)
A. Let n be no of stops needed to triple the exposure then n₁ = log(30) = n, log, 3+ log, C ..............(2)
We see using (1) in (2) n₁ = n + log 3 = n+1.5850
Thus we need to increase no. of stops by 1.585 ≈ 1.6.
B. Similarly to get exposure, changing c by c/5
n₁ = log₂ (45) = n₁ = log₂c - log₂5
n₁ = n - log₂5 = n₁ -2.3219
One needs to decrease the no. of stops by 2.3219.
Aperture is one of three camera settings that control the exposure of your image. These settings are collectively known as the exposure triangle and consist of shutter speed aperture and ISO. The aperture controls exposure by increasing or decreasing the relative amount of light entering the camera lens.
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the output of the supply must be electrically isolated from the source and must contain some type of switching converter. the system is to use a feedback control to maintain proper output voltage throughout the full range of input voltages and frequencies.
The supply's output must have some sort of switching converter and must be electrically insulated from the source. Throughout the whole range of input voltages and frequencies, the system is to apply a feedback control to ensure proper output voltage.
Voltage, also referred to as electric tension, electric pressure, or (electric) potential difference, is the difference in electric potential between two places. It is equivalent to the labor required to transfer a test charge between two places in a static electric field. The derived unit for voltage in the metric system is referred to as a volt. One volt equals one joule (of work) for one coulomb, which is how to work per unit charge is defined in SI units (of charge). Power and current were employed in the earlier SI definition for the volt; starting in 1990, the quantum Hall and Josephson effect was applied; and most recently (as of 2019), fundamental physical constants were added to the definitions of all SI units and their derivative units.
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when the opportunity cost of lost revenue is relatively high,_____become(s) relatively more attractive.
Excess capacity becomes more desirable when the opportunity cost of lost income is considerable.
Income is a concept that is difficult to define conceptually and may vary across fields. For instance, a person's income in an economic sense may differ from their income as defined by law. Income is the consumption and saving opportunity gained by an entity within a specific timeframe, which is typically expressed in monetary terms.
Haig-Simons income, which defines income as Consumption + Change in Net Worth and is commonly applied in economics, provides an incredibly significant definition of income.
For households and individuals in the United States, income is defined by tax law as a sum that includes any wages, salaries, profits, interest payments, rent, or another type of earnings earned in a calendar year. Discretionary income is frequently described as gross income fewer taxes and expenses.
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Excess capacity becomes more desirable when the opportunity cost of lost income is considerable.
opportunity costs represent the potential benefits that an individual, investor, or business misses out on when choosing one alternative over other. because opportunity costs are unseen by definition, they can be easily overlooked. The value of the next highest valued alternative use of that resource. opportunity cost is a strictly internal cost used for strategic contemplation. The opportunity cost theory analyses pre trade and post trade situations under constant, increasing and decreasing. it is defined as the amount of a second commodity.
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