The coefficient of Kinetic friction (μk) is 0.408.
What is Friction?
It is the resistance to the relative motion of sliding solid surfaces, fluid layers, and material components. Friction can take many different forms: A force called "dry friction" resists the relative lateral motion of two solid surfaces coming into contact.
What are the calculations?
ΔE = ΔU + ΔK = [tex]- f_{friction} * d[/tex]
= [tex]U_{f}[/tex] - [tex]U_{o}[/tex] + [tex]K_{f} - K_{o} = - f_{friction} * d[/tex] = [tex]- f_{friction} * d[/tex]
= [tex]0[/tex] - [tex]\frac{kx_{0} ^{2} }{2} = f_{friction} * d[/tex]---------(1)
the friction force is, f = μkN = μkmg--------(2)
by inserting equation (2) into (1),
and inserting given values in it, we will get:
μk = [tex]\frac{( 100 N/m ) (0.2m)^{2} }{2 ( 0.50 Kg ) (9.8 m/s^{2} ( 1m)}[/tex]
or, 0.408.
Hence, coefficient of Kinetic friction (μk) is 0.408.
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how much net work is required to accelerate it from rest to a rotation rate of 1.00 revolution per 8.20 ss ? assume it is a solid cylinder.
Given:
Mass of the merry-go-round, m= 1640 kg
Radius of the merry-go-round, r = 7.50 m
Angular speed, = ω = (1/8) rev/sec
= (2π * 7.8) / 8 rad/sec
= 5.89 rad/sec
Therefore, force required,
F = m * ω² * r
= 1640 * (5.89)² * 7.5
= 427126.9 N
Thus, the net work done for the acceleration is given by :
W = F x r
= 427126.9 x 7.5
= 3,203,451.75 J
Therefore, the net work done is 3,203,451.75 J
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[NOTE: THIS IS AN INCOMPLETE QUESTION. THE COMPLETE QUESTION IS : A 1640 kg merry-go-round with a radius of 7.50 m accelerates from rest to a rate of 1.00 revolution per 8.00 s. Estimate the merry-go-round as a solid cylinder and determine the net work needed for this acceleration.]
A uniform solid 5.25-kg cylinder is released from rest and rolls without slipping down an inclined plane inclined at 18° to the horizontal. How fast is it moving after it has rolled 2.2 m down the plane? O 3.0 m/s O 4.3 m/s O 5.2 m/s O 3.7 m/s O 2.6 m/s
A uniform solid 5.25-kg cylinder is released from rest and rolls without slipping down an inclined plane inclined at 18° to the horizontal. Its speed while rolling down is 3.0 m/s.
The mass of the solid cylinder, [tex]m=5.25 kg[/tex]
The inclination of the plane, θ=[tex]18^{0}[/tex]
The speed of a solid cylinder rolling down an inclined surface is calculated using the following formula:
The kinetic energy of the cylinder
[tex]K=3/5 mgh[/tex]
[tex]1/2mv^{2} =3/5 mgh[/tex]
[tex]v=\sqrt{6gh/5}[/tex]
Substituting for the values h as [tex]h=mgcos[/tex]θ
we get the speed as
[tex]v=3.0 m/s[/tex]
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each of these frames shows the migration (due mostly to solar rotation) of sunspots across the face of the sun with the earliest sketch at the top. if the north pole of the sun is at the top of each frame, in which direction does the sun rotate?
The sun rotates in the counterclockwise direction when viewed from above the North Pole of the Sun.
The Sun rotates on its axis approximately once in 27 days. This rotation was first discovered by observing the motion of the Sun. The Sun's axis of rotation is tilted by about 7.25 degrees from the axis of Earth's orbit, so we see most of the Sun's north pole in September and most of its south pole in March each year. The Sun's "surface" that is visible, up to the photosphere. The powerful magnetic fields in the vicinity of sunspots produce active regions on the Sun that often generate disturbances such as solar flares and coronal mass ejections (CMEs). Because they are colder than their surroundings, sunspots seem "black.". The average number of spots on the face of the Sun is not constant, but varies over a multi-year cycle.
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a straight wire segment that is 0.65 meters long has a current of 1.4 amps. the wire segment is oriented so that the current us travelling in the y direction. the wire is placed in a uniform magnetic field of strength 0.65 tesla in the z direction. find the force acting on the wire.
Force acting on the wire is 0.243N
What is magnetic Force ?One of the four fundamental forces of nature, the electromagnetic force, results in the magnetic force, which is brought about by the motion of charges. When two charge-containing objects move in the same direction, a magnetic attraction pulls them together.
According to the given information
We are given that
Current in, the segment is [tex]$I=1.8$[/tex] amps
Length of segment is[tex]$l=0.3 \mathrm{~m}$[/tex]
Magnetic field [tex]$B=0.45 T^2$[/tex]
In vector form
[tex]$I \vec{l}=1.8 \times 0.3 \hat{j}$[/tex]
[tex]=0.54 \hat{\jmath} \mathrm{A} \cdot \mathrm{m}$[/tex]
[tex]B$\vec{B}=0.45 \hat{k} T$[/tex]
So
Magnetic force on wire is
[tex]& \vec{F}=\overrightarrow{I l} \times \vec{B}=(0.54 \hat{\jmath} \times 0.45 \hat{k}) \mathrm{N} \\[/tex]
[tex]& \vec{F}=0.54 \times 0.45 \hat{\jmath} \times \hat{k} \mathrm{~N} \\[/tex]
[tex]& \vec{F}=(0.243 \mathrm{~N}) \hat{\imath}[/tex]
So
[tex]$F=0.243[/tex] in the positive x - axis direction
Force acting on the wire is 0.243N
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Given the discussion above, can you argue that the propagation of error/uncertainty formula for a non-linear model is more general and can be used for a linear model?
Statisticians say that this type of regression equation is linear in the parameters. However, it is possible to model curvature with this type of model. While the function must be linear in the parameters, you can raise an independent variable by an exponent to fit a curve.
Define Linear regression?
Linear regression is easier to use, simpler to interpret, and you obtain more statistics that help you assess the model. While linear regression can model curves, it is relatively restricted in the shapes of the curves that it can fit. Sometimes it can’t fit the specific curve in your data.
Define Nonlinear regression?
Nonlinear regression can fit many more types of curves, but it can require more effort both to find the best fit and to interpret the role of the independent variables.
Thus, Statisticians say that this type of regression equation is linear in the parameters. However, it is possible to model curvature with this type of model. While the function must be linear in the parameters, you can raise an independent variable by an exponent to fit a curve.
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shows two masses at rest. the string is massless and the pullies are frictionless. the spring scale reads in kg. what is the reading of the scale?
The reading of the scale due to the two masses, massless string and the frictionless pullies is 0.
When the strings have frictionless pullies, they perform a rotary motion with the pulleys.
Net force of the masses
The two masses are connected by massless spring.
Since the masses are at rest, the sum of all the forces acting on the scale will be zero.
Fnet = o
T + M1g - M2g = 0
M1 and M2 are the masses at rest respectively.
T = M2g - M1g
Reading on the scale
Since the two given masses have same mass then their product with 'g' is and their difference is zero.
The reading of the scale is equal to the tension in the pulley connecting the two masses.
The tension on the pulley is calculated as follows;
T = Mg - Mg
T = 0
Thus, the reading of the scale due to the given masses is 0.
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what happens to the shape of a wire that is part of a circuit with a battery when the switch is closed and the direction of the current is reversed in the wire?
The wire bends more than it did before when the switch is closed and the direction of the current is reversed in the wire.
A stream of charged particles such as electrons or ions moving through a conductor for electricity or into empty space is known as an electric current. The net rate of passage of electric charge through a surface or into a control volume is used to measure it. Charge carriers are the moving particles, which depending on the conductor could be any number of different types of particles. Often, electrons flowing over a wire serve as the charge carriers in electric circuits. They may be holes or electrons in semiconductors. Ions are the charge carriers in an electrolyte, while electrons and ions make up plasma, an ionized gas.
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You perform 100 j of work on a refrigerator that extracts heat from a cold reservoir and dumps heat into a hot reservoir. The amount of heat dumped into the hot reservoir must be.
From the first law of thermodynamics, we have 100 J of heat that we would dump in the hot reservoir.
What is the first law of thermodynamics?We know that thermodynamics has to do with the area of science that studies the exchange of heat. Heat is that which could cause the temperature of an object to rise. Thus heat can also be defined as a form of energy that owes to the difference in temperature between the objects.
From the first law of thermodynamics, we have been told that energy is neither created nor destroyed but we can convert it from one form to another in the system. Here we are told that you perform 100 J of work on a refrigerator that extracts heat from a cold reservoir and dumps heat into a hot reservoir.
This implies that the same amount of heat is dumped.
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Strength training is beneficial because it decreases your risk of injury. Which statement BEST describes why this is true? A. Muscular fitness training can prevent or improve diabetes and sarcopenia. B. Muscular fitness training increases muscle mass, which increases your metabolism. C. Muscular fitness training strengthens tendons, ligaments, and cartilage. D. Muscular fitness training improves self-image and athletic performance. Please select the best answer from the choices provided. A B C D
Answer: B. Muscular fitness training increases muscle mass, which increases your metabolism
a heat engine is operating between 317 c and -3 c. if the engine extracted 100 mj of energy from fuel, how many mj of energy could be used as mechanical energy?
54.2 MJ of energy could be used as mechanical energy from heat engine operating between 317 c and -3 c and if the engine extracted 100 mj of energy from fuel.
What is mechanical energy ?
Mechanical energy, also known as kinetic energy or potential energy, is the energy that an object possesses when it is in motion or the energy that an object stores due to its location.
According to the given information:
T(high) = -3 °C
T (low) = 317 °C
Fuel extracted = 100 MJ
First we need to convert temperature into kelvin
T(high) = 270 K
T(low) = 590 K
Efficiency = 1 - [tex]\frac{T(high)}{T(low)}[/tex]
Efficiency = 1 - [tex]\frac{270}{590}[/tex]
Efficiency = 1 - 0.458
Efficiency = 0.542
Hence maximum useful work done = 0.542 x 100 MJ
Maximum work done or the amount of energy used as mechanical energy = 54.2 MJ
Hence the maximum amount of useful work extracted from the heat engine is 54.2 MJ
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a 230kv, 60hz, three phase completely tranposed overhead line has one acsr 954 kcmil conductor per phase and flat horizontal phase spacing, with 8 m between adjacent conductors. determine the inductance and the inductive reactance
The Inductance and Inductive Reactance of the conductor is 1.315 x 10⁻⁶H/m and 0.496ohm/km respectively.
A type of inductor is a device that runs on magnetism or magnetic fields. Transformers, coils, motors, and generators are examples of inductors. Current and voltage can become out of phase and inefficient when an inductor is used in a circuit if the problem isn't fixed.An EMF is continuously produced in an inductive AC circuit where the current is constantly changing. This EMF's impact is measured in ohms because it fights against the ongoing change in the flowing current. Inductive reactance (XL) is the term used to describe this resistance of the inductance to the flow of an alternating current.The inductance of the circuit and the rate at which the current is changing through the circuit both affect the value of XL in any circuit. The applied voltage's frequency affects this rate of change.The mathematical illustration of XL is shown in the equation below.
XL = 2πfL.
Ds=0.0123mDe=8.819m
L= 2 x 10⁻⁷ x log [8.819/0.0123]
L=1.315 x 10⁻⁶H/m
XL=2 x 3.14 x 60 x 1.315 x 10⁻⁶=0.496ohm/km
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for laminar flow of air over flat plates with uniform surface temperature, the curve that most closely describes how the average heat transfer coefficient changes with the length of the plate is
For a laminar airflow over flat plates with a constant surface temperature, the curve that best represents how the average heat transfer coefficient declines with plate length increases.
In fluid dynamics, laminar flow is characterized by fluid particles passing each other in layers along straight paths with little to no mixing in between. When the fluid is traveling at moderate speeds, it tends to Laminar flow without lateral mixing, which causes adjacent layers to slip past one another like playing cards. The heat transfer coefficient measures the convective heat transfer between a fluid medium (a fluid) and the surface (a wall) it flows over. The Newton-Richmann relation shows the heat transfer coefficient as a proportionality factor.
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discuss why you think the frictional torque that slows down the spinning cylinder should or should not affect your results here.
Friction is a self adjusting force. In plain words, it means that if there is an increase in linear velocity, then there shall be an increase in angular velocity as well.
Friction is a self adjusting force . It adjusts with appreciate to external force. Importantly, the static friction is any intermediate value less than the most static friction. In simple phrases, it approach that if there is an boom in linear pace, then there will be an increase in angular velocity as nicely.
Paintings accomplished through force is calculated as the dot manufactured from pressure and displacement of point of software of force. In case of angular motion, force is changed by way of torque and linear displacement is replaced by angular displacement.
The conventional instance of that is a spinning ice skater or a person spinning in an office chair. via pulling in her arms, the skater decreases her second of inertia, so her angular speed has to boom so that it will keep her angular momentum constant.
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Find the magnitude of the acceleration of the block after the system is released from rest.
Express your answer in terms of the variables , , and appropriate constants.
ANSWER:
ablock = 3.27
The magnitude of the acceleration of the block after the system is released from rest is: ablock = 3.27
What is magnitude?
Just as the magnitude of an earthquake indicates its strength, the magnitude of a mathematical term indicates its magnitude. In mathematics, this means how far a mathematical term is from zero.
For numbers like 1, 2, 3, the magnitude is simply the number itself. If the number is negative, the magnitude is the absolute value of the number. For example, the magnitude of 10 is 10. The magnitude of -10 is the absolute value of -10, which is 10. In both cases, the magnitude is the distance from zero of the mathematical term. Both 10 and -10 are 10 distances from zero.
Thus, The magnitude of the acceleration of the block after the system is released from rest is: ablock = 3.27
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Nuclear decay occurs according to first-order kinetics. How long will it take for a sample of radon-218 to decay from 99 grams to 0. 50 grams? the half-life of radon-218 is 35 milliseconds.
It will take 267 milliseconds for a sample of radon-218 to decay from 99 grams to 0. 50 grams.
We know that half life of a first order reaction is given by: [tex]t_{1/2} = 0.693/k[/tex]
where k = rate of reaction
Given half life = 35 milliseconds
So from this we get k = 0.0198
Now we know that rate of first order reaction is given by: [tex]kt= 2.303 * log(R'/R)[/tex]
where t= time
R'= initial amount = 99 g
R= final amount= 0.50 g
k= rate of reaction = 0.0198
Putting values of these in above equation we get t=267 milliseconds.
i.e. It will take 267 milliseconds for a sample of radon-218 to decay from 99 grams to 0. 50 grams.
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Each of the following statements was either true for Mars in the distant past (early Mars) or is true for Mars today. Sort the statements by dragging each into the correct bin.Early Mars (more than 3 billion years ago):
Strong greenhouse effect.
Substantial volcanism and outgassing.
Strong magnetosphere.
Some craters held lakes of water.
Core convection.
Mars Today:
Surface pressure too low for stable liquid water.
Solar wind strips atmospheric gas.
Very weak greenhouse effect.
Early Mars (extra than three billion years in the past) strong greenhouse effect. Substantial volcanism and outgassing. Strong magnetosphere.
*Some craters held lakes of water.
*Core convection.
Mars Today:
*Surface pressure too low for stable liquid water.
*Solar wind strips atmospheric gas.
*Very weak greenhouse effect.
A gas is a substance that has no constant size or form. Whilst inside a closed container, gasoline will amplify to fill the field. An instance of gas is the air you breathe. The gas interior of your digestive tract is fabricated from the air and different gases.
Traits of Gases :
* Gases have neither definite shape nor particular volume.
* Gases are fluid and go with the flow effortlessly.
* Gases have low density, except compressed.
* Gases diffuse (mix and unfold out) and effuse (tour thru small holes).
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an lrc series circuit consists of an 85.0- ω resistor, a 14.0-μf capacitor, a 1.50-mh inductor, and a variable frequency ac source of voltage amplitude 13.25 v. at what angular frequency will the inductive reactance be 4.00 times as large as the capacitive reactance?
The inductive reactance is 4.00 times as large as the capacitive reactance is 10.1 Hz or 6.26 radians/sec.
What is inductive reactance?
The resistance provided by the inductor inside an AC circuit to a flow of ac current is known as inductive reactance. Its measurement unit is the ohm (Ω), and its symbol is (XL). For lower frequencies, inductive reactance is typically low, and for higher frequencies, it is high. However, it is insignificant for constant DC current.
The angular frequency (ω) at which the inductive reactance (XL) is 4.00 times as large as the capacitive reactance (XC) is given by the following equation:
XL = 4.00 XC
ωL= 4.00 ωC
where ωL is the angular frequency for the inductor and ωC is the angular frequency for the capacitor.
The angular frequency for the capacitor is given by the following equation:
ωC = 1/(2πRC)
where R is the resistance in ohms and C is the capacitance in farads.
Therefore, substituting the given values of R = 85.0 ohms and C = 14.0 μF, we have:
ωC = 1/(2π*85.0*14.0*10-6) = 2.47 radians/sec
The angular frequency for the inductor is given by the following equation:
ωL = 2πFL
where F is the frequency of the AC source in hertz and L is the inductance in henries.
Therefore, substituting the given values of F = variable and L = 1.50 mH, we have:
ωL = 2π*variable*1.50*10-3 = 6.28*variable radians/sec
Combining the two equations, we have:
6.28*variable = 4.00*2.47
Solving for the variable, we get:
variable = 6.28*4.00/2.47 = 10.1 Hz
Therefore, the angular frequency at which the inductive reactance is 4.00 times as large as the capacitive reactance is 10.1 Hz or 6.26 radians/sec.
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this buoy is located 260 km from the coast of new jersey. based on the wave speed at the time of maximum wave height it would take about 4.5 hours for these waves to travel from the buoy to the coastline. does that seem slow or fast to you?
That seems relatively fast to me. Wave speed is typically between 160 to 320 km/h, so the 4.5 hours it would take for these waves to travel from the buoy to the coastline is in line with the expected wave speed.
What is Wave?
A wave is a spreading dynamic disturbance (transition from equilibrium) with one or even more quantities in physics, mathematics, as well as related fields. When a wave is periodic, its constituent parts repeatedly oscillate around an equilibrium (resting) valuation at a given frequency. A travelling wave is defined as one in which the a whole waveform moves inside one direction; in contrast, a standing wave is defined as a pair of superimposed promotes the flow moving in the opposite directions. In a standing wave, the vibration's amplitude nulls out at certain locations where the wave's amplitude appears smaller and even zero. Wave equations, which are standing wave fields of two opposing waves, or one-way wave equations, which describe the propagation of a single wave in a specific direction, are frequently used to describe waves.
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by what factor does the gravitational force between two objects increase if one object doubles in mass and the distance between them decreases by half?(1 point)
The gravitational force between two objects increase if one object doubles in mass and the distance between them decreases by half F = 8G m1 m2 / r^2.
Because F = G*m1*m2/r2,
G * 2m1 * m2 / (r/2)2 = 8G m1 m2 / r2, which is the right answer if m1 doubles and r falls by half.
Objects with mass are drawn toward one another by the gravitational attraction, also known as the force of gravity. The gravitational force of the Earth is something we consider frequently. Your body is kept stationary on the ground by this force. However, every other mass-containing item experiences a gravitational pull from every other mass-containing object. Gravity is a fundamental interaction in physics that produces mutual attraction between all things having mass or energy (from the Latin gravitas, "weight". By far the weakest of the four fundamental interactions, gravity is 1038 times weaker than the strong interaction, 1036 times weaker than the electromagnetic force, and 1029 times weaker than the weak interaction. As a result, it has no discernible impact on the level of subatomic particles. But the most important relationship is gravity.
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Imagine a ball that is pushed off a desk completely horizontal and falls 9.47 m down to the floor. If it landed 3.32 m away from the edge of the desk, how fast was it moving in the horizonal direction just before it hit the ground? Round to 1 decimal.
The ball was moving at 11.1 m/s in the horizontal direction just before it hit the ground.
What is horizontal direction?
Horizontal direction is a term used to describe a direction parallel to the horizon. It is an important concept in navigation and surveying, since it helps to determine a person's geographic location. Horizontal direction is usually expressed as an angle, measured clockwise from the direction of true north. It is important to remember that the angle for horizontal direction increases as the person turns clockwise from true north. For example, if a person were facing north, their horizontal direction would be 0°. If they were facing northeast, their horizontal direction would be 45°. In addition to its use in navigation, horizontal direction is also used in architecture and engineering. For example, when designing a building, architects use horizontal direction to determine which way the building should face in order to maximize the amount of natural light that enters the building.
We can use the equation vf^2=vi^2 + 2ad, where vf is the final velocity, vi is the initial velocity, a is the acceleration due to gravity (9.8 m/s^2) and d is the displacement.
In this case, vf = 0 m/s (since the ball has stopped moving at the end of its fall), vi = unknown, a = 9.8 m/s^2, and d = 3.32 m.
We can rearrange this equation to solve for vi: vi = sqrt(vf^2 - 2ad)
vi = sqrt(0^2 - 2(9.8)(9.47)) = -11.1 m/s
Since the velocity is negative, it is moving in the opposite direction of the displacement. Therefore, the ball was moving at 11.1 m/s in the horizontal direction just before it hit the ground.
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what is the maximum speed the electron could have after the collision? express your answer with the appropriate units.
The maximum speed of the electron after collision is
1,258,107 m/s
What is collision?
Any instance in which two or more bodies exert forces on one another quickly is referred to as a collision in physics.
What are the 3 types of collision?
There are three different types of collisions: elastic collisions and inelastic collisions. collision with perfect inelasticity.
I understand that the question you are looking for
The allowed energies of a simple atom are 0.0 eV, 3.5 eV and 5.0 eV . An electron traveling at a speed of 1.5×106 m/s collisionally excites the atom. Part A What is the minimum speed the electron could have after the collision?What is the maximum speed the electron could have after the collision?
The electrons can move from 0.0 eV to 5.5 eV and from 5.5 eV to 9.0 eV, respectively.
The smallest energy difference, from 5.5 to 9.0, is 4.5 ev.
Then, using the equation KE = (1/2)m*v2, we must determine the electron's speed to obtain a kinetic energy of 4.5 ev.
Where,
KE = 4.5 ev * 1 J / (6.242*1018) ev = 7.2098*10 19 J
m = 9.11 x 10 -31 kg, where m is the mass of the electron.
v = (2 * KE/m) = [2*7.2098* 10-19 kg/(9.11*10-31 kg)] = 1,258,107 m/s
In response, 1,258,107 m/s
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as a participant in a research study, jolan is required to report what he is doing and how he is feeling using a smartphone app when he receives an alert. he receives alerts at two random times each day. jolan is most likely participating in research.
As a participant in a research study, Jolan must report what he is doing and how he feels using a smartphone app when he receives an alert. He receives alerts at two random times each day. Jolan is most likely participating in participatory research.
Participant observation (PO) is a research technique in which the researcher actively participates in the daily activities of the participants. The objective is to record conduct under the widest range of possible settings.
Researchers work with community members to understand and resolve community problems, empower community members, and democratize research. The participatory research methods include group discussions of personal experience, interviews, surveys, and analysis of public documents.
The question is incomplete. The correct question is
As a participant in a research study, Jolan is required to report what he is doing and how he is feeling using a smartphone app when he receives an alert. He receives alerts at two random times each day. Jolan is most likely participating in ______ research.
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1. If a car travels 40m in 30 seconds how fast is it
going?
Answer: 80 mph
Explanation:
A 0.260 kg potato is tied to a string with length 2.50 m, and the other end of the string is tied to a rigid support. The potato is held straight out horizontally from the point of support, with the string pulled taut, and is then released.A) What is the speed of the potato at the lowest point of its motion? let g be = 9.80 m/s^2
The speed of the potato at the lowest point of its motion is calculated to be 7 m/s.
The total energy of an object remains constant or changes its form from one energy to another in an isolated system as per the law of conversation of energy.
Therefore, in this case, the potential energy of the potato will be equal to its kinetic energy when the sting is pulled taut and the potato will be released.
Potential Energy = Kinetic Energy
mgh = 1/2 ( mv^2)
Here m represents the mass of the potato,g is the gravitational force on the potato, h is the height of the string, and v represents the velocity of the potato
Substituting the values to determine the speed of the potato at the lowest point of its motion as follows;
0.260 × 9.80 × 2.50 = 1/2 × (0.260 × v^2)
v^2 = 49
v = √49
v = 7 m/s
Therefore, at the lowest point, the potato's speed will be 7 meters per second.
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find the capacitance of a parallel plate capacitor if the area of each plate is 0.1 m2 and the distance between the plates is 0.1 inch. the dielectric is air.
The capacitance of a parallel plate capacitor is 3.612×10⁻¹⁰ohm if the area of each plate is 0.1m² and distance between plate is 0.1inch.
Capacitance is the capacity of a material item or gadget to store electric charge. It is estimated by the adjustment of charge because of a distinction in electric potential, communicated as the proportion of those amounts. Regularly perceived are two firmly related thoughts of capacitance: self capacitance and shared capacitance.
An article that can be electrically charged shows self capacitance, for which the electric potential is estimated between the item and ground. Common capacitance is estimated between two parts, and is especially significant in the tasks of the capacitor, a gadget intended for this reason as a rudimentary straight electronic part.
We know that 1inch=2.54cm
Therefore,0.1inch=2.54×0.1cm=0.245cm=0.00245m
Now, we know that capacitance=∈[tex]_o[/tex]×A /d where
∈[tex]_o[/tex] is the permittivity of free space,
A is the area of cross-section,
d is the distance between two plates.
We know that value of ∈[tex]_o[/tex]=8.85×10⁻¹² Farad/meter
Therefore, C = (8.85×10⁻¹²×0.1)/0.00245
=>C=(8.85×10⁻¹³)/0.00245
=>C=3.612×10⁻¹⁰ohm
Hence, value of capacitance is 3.612×10⁻¹⁰ohm.
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supose that a student pulls with two large forces in order to life a 1 kg book by two cables if cables make 1 degree angle with horizontal then what is tension in the cable
If a student uses two strong forces to lift a 1 kg book using two cables, the tension in the cable will be 562.1 N if the cables are at a 1 degree angle with the horizontal.
Tension is a pulling force that operates in one dimension along the cables' axes in the opposite direction from the direction of the applied force. The combined weight of the elevator box and the person riding inside it, in the case of an elevator, provides the pulling force in the cables is called as Tension.
There are four basic interactions that encompass all known forces in the cosmos. The interactions between subatomic particles are caused by the strong and weak forces, which only operate over very small distances.
F1 sin(tetha)+F2 sin(tetha) = F3
F1 cos(tetha) = F2cos(tetha)
2F1 sin (tetha) = 2*9.81
F1 sin (1) = 9.81
F1 = 9.81/sin(1)
=562.1N
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Physic: A yo-yo of total mass m consists of two solid cylinders of radius R, connected by a small spindle of negligible mass and radius r. The top of the string is held motionless while the string unrolls from the spindle freely under gravity. Given the angular momentum of a cylinder L = πmR2/T, find the linear acceleration of the yo-yo. 8. A yo-yo of total massmconsists of two solid cylinders of radiusR, connected by a small spindle of negligible mass and radiusr. The top of the string is held motionless while the string unrolls from the spindle freely under gravity. Given the angular momentum of a cylinderL=πmR 2/T, find the linear acceleration of the yo-yo.
The moment of inertia can be given as the sum of the moments of inertia of each of the end cylinders plus the moment of inertia of the axle is[tex]{a_y = \frac{g}{1+\frac{R^2}{2r^2}}}[/tex]
Imagine the YoYo When yoyo is falling
In Linear downward direction,
mg-T=ma_y
ay = is linear acceleration
now
[tex]T*r=I_c_m \alpha[/tex]
but from we also know [tex]\alpha =\frac{a_y}{r}[/tex]
[tex]T*r=I_c_m \frac{a_y}{r}[/tex]
substiting above equation in beggining eqyation.
[tex]mg-I_c_m \frac{a_y}{r^2} = ma_y[/tex]
[tex]a_y = \frac{mg}{m+\frac{I_c_m}{r^2}} .......................(1)[/tex]
Icm --> The moment of inertia can be given as the sum of the moments of inertia of each of the end cylinders plus the moment of inertia of the axle:
and mass ofcylinders will half of total mass as spindle mass is negigible. i.e cylinders masses = m/2
[tex]I_c_m =2* \frac{\frac{m}{2}R^2}{2} = \frac{mR^2}{2}...............(2)[/tex]
Substituting 2 in 1 we get
[tex]{ a_y = \frac{g}{1+\frac{R^2}{2r^2}}}[/tex]
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a collection of molecules holding a charge of 14 coulomb all pass through a hole in 4 seconds. what is the current (in amps) through the hole?
The current that passes through the hole is 3.5A
What is current?The rate at which electrons flow past a point in a complete electrical circuit is defined as current. At its most fundamental, current = flow. An ampere (AM-pir), also known as an amp, is the international unit for measuring current.Although current is the flow of electrons, current and electron flow in opposite directions. Electrons flow from negative to positive while current flows from positive to negative. The number of electrons passing through a conductor's cross-section in one second determines current.Here given ,
Charge = 14 coulomb
Time = 4 sec
We have to current,
I = Q/t
Where Q is the charge and t is time in seconds.
By substituting the values,
I = 14/4
I = 3.5A
Therefore the current through the hole is 3.5A.
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an image of the lateral skull taken at 68 kvp, 20 mas and is repeated. if the kvp is increased to 78 kvp, what should be the new mas?
Half of 20mAs is 10mAs, should be the new mAs.
What is kVp and mAs?In the first experiment, it was shown that, when the film density is maintained constant, the resolution decreases with rising kVp and increases with increasing mAs, respectively, and that the picture contrast percentage increases with increasing kVp.
Several mAs were chosen for the second part of the experiment, and several kVps were used for each mAs. Five observers read the radiographs.
The second experiment showed that when the film density was not kept constant, the correlations between kVp and resolution and between kVp and the picture contrast percentage were the same as in the first experiment.
However, there was little correlation between MAs and picture contrast % and MAs and resolution.
So when the lateral skull is 68kvp then 20mas and when kvp is increased to 78kvp then new mas will be half that is 10mas
Half of 20mas is 10mas, should be the new mas.
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how does the image distance (the distance from the lens to the focused image) change with the object distance (the distance from psy to the lens?)
Image distance changes with change in object distance.
What is object and image distance?
The object distance is the distance of the object to the center line of the lens
The image distance is the distance of the image to the center line of the lens
Now lets discuss the image variation with change in distance:
As the distance between an object and a lens is increased, the image size decreases. This is due to the fact that the light rays from the object are diverging more at a greater distance, and thus the lens is not able to focus them as much. The result is a smaller image.
Moving the object further from the lens causes the image to become smaller and closer to the lens. The image becomes smaller and smaller as we move the object further and further away. It will move closer and closer to the focal point of the image as it approaches.
A lower distance between an object and a lens can increase the size of an image.
In other words, as the object distance decreases , the image distance increases; in other words, the image height rises as well.
When the distance of an object from one’s eye is increased, the image distance remains the same as the original size of the image.
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