The magnitude of the net force on the rotor due to the unbalanced samples is 64.4 N.
What is magnitude of a force?The total amount of forces exerted on an object is referred to as the magnitude of force. The strength of the force increases when all the forces are pulling in the same direction. When forces are exerted on an item from different angles, the force's strength reduces.
If the net force acting on an object is zero, then the object is not accelerating and is in a state that we refer to as equilibrium. The magnitude of the net force acting on an object is equal to the mass of the object multiplied by the acceleration of the object.
radius r = 12 cm = 12 x 10-2 m
Mass : 10 mg = 10 x 10 -6 kg
angular speed ω = 70,000 rpm = 7330.4 rad/sec
The net force is given by :
F = m ω 2r
Substitute the given values in equation
F = (10 * 10[tex](10 * 10^{-6} kg ) * (7330.4rad / s )^{2} * (12 * 10^{-2} m)[/tex]
F = 64.4 N
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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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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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❧ What are the uses of mirrors and other reflecting surfaces?
Mirrors and other reflecting surfaces can be used in the following way; used in kaleidoscopes, periscopes which are widely used in submarines, used in headlights to reflect parallel rays of light in a straight line etc.
What is a mirror?A mirror is a reflecting surface that reflects light almost totally and does not allow it to refract, producing a clear image. It produces either real or virtual images.
Types of MirrorsPlane Mirror - These are made by putting some reflective substance like silver nitrate onto a piece of glass. When we place an object in front of a plane mirror, an image is formed by reflection.
Concave - It is a mirror that is bent inside at its center. The law of reflection also holds for the concave mirror, but the angle of incidence is not equal to the angle of reflection. A concave mirror can produce a real or virtual image in front of it at its point of focus.
Convex - is also called a diverging mirror. The reflective surface of the convex mirror is slightly extended towards the source of light. A convex mirror can reflect all rays falling on it in the outward direction. It produces a virtual image. The size of the image produced by this kind of mirror is smaller than the actual object.
Uses of mirrorsA plane mirror is used in kaleidoscopes. Plane mirrors are also used in periscopes which are widely used in submarines.They are used in headlights to reflect parallel rays of light in a straight line. Convex mirrors are used as side mirrors in vehicles because they form erect images and cover wider views. Plane mirrors are also used in flashlights and torches to give the source light a straight path. They are also used in microscopes to reflect the beam of light. Plane mirrors are used in solar cookers because they excellently reflect solar rays.Learn more about mirrors:https://brainly.com/question/20331340
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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.
May someone please give me a hand?
circuit diagram
this is a circuit diagram
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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a brick lies perilously close to the edge of the flat roof of a building. the roof edge is 50 ft above street level, and the brick has 740.0 j of potential energy with respect to street level.a. Someone edges the brick off the roof, and it begins to fall. What is the brick’s kinetic energy when it is 35 ft above street level?b. What is the brick’s kinetic energy the instant before it hits the street surface?
(a) The brick’s kinetic energy when it is 35 ft above street level is 221.7 J
(b) The brick’s kinetic energy the instant before it hits the street surface is 740 J.
What is the brick’s kinetic energy?The brick’s kinetic energy when it is 35 ft above street level is calculated by applying the principle of conservation of energy as follows.
P.E = mgh
where;
m is the mass of the brickg is acceleration due to gravityh is the height of the brick above the ground = 50 ft = 15.24 mm = P.E / gh
m = (740) / (9.8 x 15.24)
m = 4.95 kg
The brick’s kinetic energy when it is 35 ft above street level is calculated as follows;
K.E = ΔP.E
K.E = mg(Δh)
K.E = mg(50 ft - 35 ft)
K.E = mg(15 ft)
where;
15 ft = 4.57 m
K.E = 4.95 x 9.8 x 4.57
K.E = 221.7 J
Based on the law of conservation of energy, the brick’s kinetic energy the instant before it hits the street surface will be equal to the initial potential energy of the brick which is equal to 740 J.
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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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Light is refracted and spread out by a ____. Question 14 options: concave lens convex mirror concave mirror convex lens
Light is refracted and spread out by a concave lens.
What is refraction?Refraction refers to a phenomenon which describes a change (bend) in the path taken by light when it comes in contact with surfaces between different transparent materials. The refraction of light is inversely proportional to its wavelength.
When parallel rays of light enter into a concave lens, the light waves refract outward (spread out). The light rays refract twice: first when entering the lens and second when leaving the lens. Only the light rays passing through the center of the lens remain straight.
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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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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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TRUE/FALSE. since magnetic fields of a coil of wire and a bar magnet are identitcal are there loops of current inside natural magnetic materials like iron or cobalt
Are current loops present inside naturally magnetic materials like iron or cobalt because the magnetic fields of a coil of wire and a bar magnet are identical. The given statement is true.
What is magnetic fields?
The magnetic impact on moving electric charges, electric currents, and magnetic materials is described by a magnetic field, which is a vector field. A force perpendicular to the charge's own velocity and the magnetic field acts on it while the charge is travelling through a magnetic field.
Thus, a bar magnet is quite different from an electromagnet, and its magnetism is due to electron spins, not electric currents. Spins of electrons in neighboring atoms are aligned by the exchange interaction, which is a consequence of the Pauli exclusion principle.
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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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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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2.00 mol of the helium is confined to a 2.00-L container at a pressure of 11.0 atm. The atomic mass of helium is 4.00 u, and the conversion between u and kg is 1 u = 1.661 ××10−27 kg. 1)Calculate vrms
use P*V = n*R*T
==> T = P*V/(n*R)
= 11*1.013*10^5*2*10^-3/(2*8.314)
= 134 k
we know,
v_rms = sqrt(3*k*T/m)
v_rms = sqrt(3*1.38*10^-23*134/(4*1.66*10^-27))
= 914 m/s
The root-mean square (RMS) velocity is the cost of the square root of the sum of the squares of the stacking speed values divided via the variety of values. The RMS pace is that of a wave via sub-floor layers of different c programming language velocities along a selected ray route.
The rms speed is at once proportional to the square root of temperature and inversely proportional to the rectangular root of molar mass. for this reason quadrupling the temperature of a given gas doubles the rms pace of the molecules.
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[tex]V_{rms} = 914 m/s[/tex]
Use P*V = n*R*T
=> T = P*V/(n*R)
= 11*1.013*10^5*2*10^-3/(2*8.314 )
= 134 k
we know,
[tex]V_{rms} =[/tex] sqrt(3*k*T/m)
[tex]V_{rms} =[/tex] sqrt(3*1.38*10^-23*134/(4 *1.66*1 ^-27))
= 914 m/s
Helium is a chemical element with symbol He and atomic number.
It is a colorless, odorless, tasteless, non-toxic, inert, monatomic gas and the first gas in the noble gas group of the periodic table.
Its boiling point and melting point are the lowest of all the elements. It is the second lightest and second most abundant element in the observable universe (hydrogen is the lightest and most abundant).
Helium is used as a coolant for the Large Hadron Collider (LHC) and superconducting magnets in MRI scanners and NMR spectrometers. It is also used to cool satellite instruments and is used to cool the liquid oxygen and hydrogen that power the Apollo spacecraft.
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Near Los Angeles, the sea breeze front
A. separates marine air from polluted air.
B. leads to lowering pollution in the eastern portion of the Los Angeles basin in the late afternoon.
C. does not affect the concentrations of photochemically generated smog components.
D. moves farther off-shore as the day progresses.
separates marine air from polluted air
The correct option is A. Near Los Angeles, the sea breeze front separates marine air from polluted air.
Los Angeles has a subtropical climate with very mild, relatively rainy winters and hot, sunny summers.
It has a similar climate to the Mediterranean, but it is even milder. In fact, because the city is located at a lower latitude than the Mediterranean coasts, it has milder winters; however, because it is located on the Pacific coast, where a cool current flows, summer is slightly cooler than in the Mediterranean Sea.
However, different microclimates exist depending on location, as the city covers a large area, is located on the coast, but is also surrounded by hills and mountains.
The city is heavily polluted, and pollutants can build up in the air, especially during the dry season.
Thus, the breeze flowing towards the los angeles from sea, helps in separating air from the pollutants.
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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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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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Electricity is distributed from electrical substations to neighborhoods at 16000 VV. This is a 60 Hz oscillating (AC) voltage. Neighborhood transformers, seen on utility poles, step this voltage down to the 120 VV that is delivered to your house. A) How many turns does the primary coil on the transformer have if the secondary coil has 130 turns? Express your answer using two significant figures. B) No energy is lost in an ideal transformer, so the output power PoutPout from the secondary coil equals the input power PinPin to the primary coil. Suppose a neighborhood transformer delivers 300 AA at 120 VV. What is the current in the 16000 VV line from the substation? Express your answer using two significant figures and include the appropriate units.
A) The primary coil have 17333 turns on the transformer.
B) Current in the VV line from the substation is 2.5 A.
A transformer is a device used to transfer electrical energy.
The transmission current is an alternating current (AC). It is commonly used to increase or decrease the supply voltage without changing the frequency of the alternating current between circuits. The transformer works on the basic principles of electromagnetic induction and mutual induction.A) According to the Voltage transformation ratio,
N₁/N₂ = V₁/V₂
N₁ = number of coils on the primary coil = ?
V₁ = Voltage supplied on the primary coil = 16000 V
N₂ = 130
V₂ = 120 V
N₁ = V₁*N₂/V₂N₁ = 16000*130 / 120N₁ = 17333.34 ≈ 17333B) Since there is no loss of energy, the current in the 16000 VV line can be calculated as:
P = V*I
P = Power = 300 AA
V = Voltage = 120 V
I = current = ?
I = (P/V)
I = (300/120)
I = 2.5 A
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a positively-charged particle ( q) is at rest in the plane between two fixed bar magnets, as shown. the magnet on the left is three times as strong as the magnet on the right. which choice below best represents the resultant magnetic force exerted by the magnets on the charge?
The resultant force exerted by the magnets on the charge will be zero.
According to the Lorentz force equation, only moving charges experience magnetic forces. Therefore, a charge at rest experiences no force and does not move. Only moving charges can experience a magnetic force, so the force on a stationary charge is zero. The magnetic force is always perpendicular to the velocity of the charged particles, so the particles move in a circular motion. The positive charges above move vertically through the magnetic field and are deflected. The correct rule below predicts the direction in which positive charges are deflected. A similar left-hand rule predicts the deflection of negative charges.
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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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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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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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suppose that events f and s are conditional independent events given d and ~d respectively with p(f|d)
The events f and s are conditional independent events given d and ~d respectively with p(D|F∩S) is 0.9529.
What is events?
An event in probability theory is a collection of experiment results to which a probability is ascribed. A single outcome might be a component of several events, and since various events in an experiment could have quite diverse groupings of outcomes, they are often not equally probable.
If F and S are conditionally independent given D and ~D, then
P(FSD)= P(D)P(F|D)P(S|D)
P(FS~D) = P(~D)P(F|~D)P(S|~D)
P(F|~D) = 1 - P(~F|~D)
P(S|~D) = 1 - P(~S|~D)
P(~D) = 1 - P(D)
P(D|FS) = P(FSD)/(P(FSD) + P(FS~D))
P(F|D) = P(S|D) = .9
P(~F|~D) = P(~S|~D) = .9
P(D = .2)
Then, P(FSD) = P(D)P(F|D)P(S|D) = .2*.9*.9 = .162
P(FS~D) = P(~D)P(F|~D)P(S|~D) = (1 - .2)(1 - .9)(1 - .9)= .008
P(D|FS) = P(FSD)/(P(FSD) + P(FS~D)) = .162/(.162+.008) = 162/170=81/85 = .9529
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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
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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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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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Each of 116 identical blocks sitting on a frictionless surface is connected to the next block by a massless string. The first block is pulled with a force of 116 N. What is the tension in the string connecting block 100 to block 99? What is the tension in the string connecting block 50 to block 51?
Blocks 50 and 51 are connected by a string with a 50 N tension.
The definition of tensionThe force transmitted through a rope, string, or wire when pulled by forces acting from opposite sides is referred to as tension. The tension force is applied along the entire length of the wire and exerts an equal amount of force on the bodies at each end. Every physical object that comes into contact with another one applies some sort of force.
A massless string links each of the 116 identical blocks that are perched on a surface without friction to the block in front of it. 116 N of force is used to pull the first block.
Considering that each block weighs 1 kg
The force's equation is given as
F = ma
a = F/M
a = 116/116
a = 1m/s².
Now, from block 100 to block 99,
F = ma
F = 1×1
F = 1 N
At this time, the blocks 50 and 51. 50 blocks are behind the 51st block, so,
m = 50 kg
a = 1m/s²
F = 50×1
F = 50N.
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Explain why the Earth has 24 time zones.
Answer:
because it is a certain time created by God.
