In a certain series R L C circuit, Irms=9.00A, ΔVrms=180V, and the current leads the voltage by 37.0⁰. (a) What is the total resistance of the circuit?

Answers

Answer 1

The total resistance of the RLC series circuit is determined as 20 ohms.

Total resistance of the circuit

The total resistance of the RLC series circuit is calculated as follows;

R = Vrms / Irms

where;

Vrms is the root mean square voltageIrms is the root mean square current

Substitute the given parameters and solve for the total resistance

R = (180) / (9)

R = 20 ohms

Thus, the total resistance of the RLC series circuit is determined as 20 ohms.

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Related Questions

consider two stars, star a and star b. star a has a temperature of 4900 k , and star b has a temperature of 9900 k . how many times larger is the energy flux from star b compared to the energy flux from star a?

Answers

The Energy flux from Star B is 16 times of the energy flux from Star A.

We have Two stars - A and B with 4900 k and 9900 k surface temperatures.

We have to determine how many times larger is the energy flux from Star B compared to the energy flux from Star A.

State Stephen's Law?

Stephens law states that if E is the energy radiated away from the star in the form of electromagnetic radiation, T is the surface temperature of the star, and σ is a constant known as the Stephan-Boltzmann constant then-

[tex]$\frac{Energy}{Area} = \sigma\times T^{4}[/tex]

Now -

Energy emitted per unit surface area of Star is called Energy flux. Let us denote it by E. Then -

[tex]$E= \sigma\times T^{4}[/tex]

Now -

For Star A

[tex]T_{A}[/tex] = 4900 K

For Star B

[tex]T_{B}[/tex] = 9900 K

Therefore -

[tex]$\frac{T_{B} }{T_{A} } =\frac{9900}{4900}[/tex]

[tex]\frac{T_{B} }{T_{A} }=[/tex] 2.02 = 2 (Approx.)

Now -

Assume that the energy flux of Star A is E(A) and that of Star B is E(B). Then -

[tex]$\frac{E(B)}{E(A)} = \frac{\sigma\times T(B)^{4} }{\sigma \times T(A)^{2} }[/tex]

E(B) = E(A) x [tex](\frac{T(B)}{T(A)} )^{4}[/tex]

E(B) = E(A) x [tex]2^{4}[/tex]

E(B) = 16 E(A)

Hence, the Energy flux from Star B is 16 times of the energy flux from Star A.

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Consider (a) an electron (b) a photon, and (c) a proton, all moving in vacuum. Choose all correct answers for each question. (iv) Which carry momentum?

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Electron, photon and proton carry momentum .

De Broglie derived the relationship between the wavelength and momentum of matter. This relationship is known as de Broglie's relationship.De Broglie's relationship is given by [tex]\lambda=\frac{h}{mv}[/tex]   ...(1)Momentum is the product of the mass of a particle and its velocity. Momentum is a vector quantity; i.e., it has both magnitude and direction.

Equation (1) can be written as   [tex]\lambda=\frac{h}{p}[/tex]   where λ  is known as de Broglie wavelength and p is momentum , h = Plank’s constant

For photon , the momentum is given by   [tex]p=\frac{E}{c}[/tex]   ...(2)  where c is the speed is the speed of light .

From equation (1) and (2) we can conclude that electron, photon and proton carry momentum .

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A proton moves at 0.950 c . Calculate its (b) total energy,

Answers

The total energy of the proton is 2882.31 MeV.

We need to know about relativistic energy to solve this problem. The rest energy of the object can be determined by

Eo = m₀ . c²

where Eo is rest energy, m₀ is rest mass and c is speed of light (3 x 10⁸ m/s).

The total energy of object can be described as

E = Eo / √(1 - v²/c²)

where E is total energy, v is the object speed.

From the question above, we know that :

m₀ = 1.6 x 10¯²⁷ kg

c = 3 x 10⁸ m/s

v = 0.95c

Find the rest energy

Eo = m₀ . c²

Eo = 1.6 x 10¯²⁷ . (3 x 10⁸)²

Eo = 1.44 x 10¯¹⁰ joule

Eo = 1.44 x 10¯¹⁰ / (1.6 x 10¯¹⁹) eV

Eo = 900 x 10⁶ eV

Eo = 900 MeV

Determine the total energy

E = Eo / √(1 - v²/c²)

E = 900 / √(1 - (0.95c)²/c²)

E = 900 / 0.31

E = 2882.31 MeV

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A long solenoid that has 1000 turns uniformly distributed over a length of 0.400 m produces a magnetic field of magnitude 1.00 ×10⁻⁴T at its center. What current is required in the windings for that to occur?

Answers

0.03185A current is required in the windings for that to occur.

Solenoids are essentially coils of cord. These generate a magnetic subject which strives a pressure over a steel element.A solenoid is a fundamental time period for a coil of cord that we use as an electromagnet. We additionally consult with the tool which could convert electric power into mechanical power as a solenoid.Actually it generates a magnetic subject for developing linear movement from the electrical cutting-edge. With using a magnetic subject.Magnetic field at the centre of a solenoid of length 'L' having 'N' number of turns with a current 'I' is given by [tex]B=\frac{u_0NI}{L}[/tex]   ...(1)

It is given that 1000 turns uniformly distributed over a length of 0.400 m produces a magnetic field of magnitude 1.00 ×10⁻⁴T .

Putting above values in equation (1) , we get

[tex]1.00\times10^{-4}=\frac{4\pi \times10^{-7}\times1000I}{0.400} \\\\I=\frac{1.00\times10^{-4} \times0.400}{4\pi \times1000} \\\\I=0.03185A[/tex]

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Fill in the blanks to complete the statements.

If an object changes speed or
, its velocity also changes. Any change in ______ results in acceleration.

Answers

Answer: velocity

Explanation: Acceleration = change in velocity / time interval

5m/s to 25 m/s, in 2 seconds. So 25m/s - 5 m/s, then divide by time =

10m/s squared

Answer each question yes or no. (a) Is it possible for each of three stationary charged particles to exert a force of attraction on the other two? (b) Is it possible for each of three stationary charged particles to repel both of the other particles? (c) Is it possible for each of three current-carrying metal wires to attract the other two wires? (d) Is it possible for each of three current-carrying metal wires to repel the other two wires? André-Marie Ampère's experiments on electromagnetism are models of logical precision and included observation of the phenomena referred to in this question.

Answers

(a) No, it is not possible if one attract other two then it means rest of two have some sign of charge which repel to each other.

(b)Yes, similarly & it is not possible

(c) Yes, Two current carrying having same direction current, it

attract, If one attract others two it means all have same direction. Hence it is true

(d) (Not possible) Because of one repel other two it means other two have same direction which attract to each other.

What is the force of attraction called?

Gravity is an invisible force that pulls things toward Earth. Actually, there are other places with gravity than our planet. Every thing in the universe possesses gravity, including you and the stars, planets, and moons. All objects are attracted to one another by gravity.

Every thing on Earth experiences weight, or a gravitational pull produced by the mass of the planet that is proportional to the object's mass. A measure of the force of gravity is the acceleration that freely falling objects experience.

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Two identical loudspeakers are placed on a wall 2.00 m apart. A listener stands 3.00m from the wall directly in front of one of the speakers. A single oscillator is driving the speakers at a frequency of 300 Hz.(b) What If? What is the frequency closest to 300 Hz to which the oscillator may be adjusted such that the observer hears minimal sound?

Answers

283 Hz is the frequency closest to 300 Hz to which the oscillator may be adjusted such that the observer hears a minimal sound.

Δr = 1/2λ

   = v/2f        

f = v / 2Δr

  = 343 / 2(√13 - 3.00)

   = 283 Hz.

Frequency is a vital parameter used in technological know-how and engineering to specify the temporal fee of exchange located in oscillatory and periodic phenomena, including mechanical vibrations, audio signals (sound), radio waves, and light.

The wide variety of intervals or cycles consistent with 2d is referred to as frequency. The SI unit for frequency is the hertz (Hz). One hertz is the same as one cycle in keeping with 2nd.

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Question 1 (1 point)
Joe walks 57m north followed by 70m west. What is his magnitude of displacement
from the start?

Answers

Answer: All that seems to be needed to be done, is for you to subtract 57m from 70m and that equals: 13m displacement! hope this is helpful! good luck!

a toaster uses a nichrome heating coil and operates at 120 v. when the toaster is turned on at 20oc, the current in the cold coil is 1.5 a. when the coil warms up, the current has a value of 1.3 a. if the thermal coefficient of resistivity for nichrome is 4.5 x 10-4 1/co, what is the temperature of the coil?

Answers

If the thermal coefficient of resistivity for nichrome is 4.5 x 10-4 1/co, the   temperature of the coil of the coil is 0.56 a.

What is resistivity?

Resistivity is a central property of a material, and it shows how unequivocally the material opposes or transmits electric flow. A low resistivity is an obvious sign of a material which promptly permits electric flow. The resistivity increments implies that the conductivity of the material abatements. For metals or transmitters, it is said that they have a positive temperature co effective. The worth α is positive. Electrical resistivity is a property interesting to each material, which is fundamental to comprehend prior to making and planning electrical and electronic frameworks.

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What is the slope of the line plotted below?

Answers

Use the formula rise/run
You go up 1 point and over 2 before you hit the next point on the line.
Slope= 1/2 = 0.5

Answer: B. 0.5

I don’t understand this problem. Please help!

Answers

Based in the frame rate and the distance travelled by the ball, the speed of the ball is 398.6 cm/s.

What is the speed of an object?

The speed of an object or a moving body is the ratio of the distance covered by the moving body or object and the time taken to cover that distance.

Mathematically:

Speed = distance covered/time taken

The speed of the ball in the diagram is determined as follows:

Total distance covered by the ball will the product of the distance between the points and the number of point covered by the ball after the original point.

Distance between points = 19 cm

number of points = 6

Total distance covered by the ball = 6 *19 cm

Total distance covered by the ball = 114 cm

Time taken = 1/frame rate * number of points

Time taken = 1/22 * 6

Time taken = 0.286 s

Speed = 114 cm/0.286 s

Speed = 398.6 cm/s

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A foam dart is fired a height of 1.69 m. How many seconds does it take to hit the ground

Answers

Answer:

.587 s

Explanation:

d = 1/2 a t^2

1.69 m  = 1/2 ( 9.81 m/s^2) (t^2)

  t = .587 s

the outer gaseous giants are characterized by abundant (a. while the inner terrestrial planets are characterized by abundant (b. .

Answers

The outer gaseous giants are characterized by abundant gases like hydrogen, helium, methane, etc while the inner terrestrial planets are characterized by abundant solid elements like iron, nickel, silicon, etc.

Our solar system consists of the Sun and eight planets orbiting around it that are Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, and Neptune.

Out of the eight, the four planets closest to the sun i.e Mercury, Venus, Earth, and Mars are terrestrial, which means that their surfaces are rock solid and are composed of elements like iron, nickel, aluminum, silicon, etc.

They also have no moons or a few moons.

On the other hand, the remaining four planets i.e Jupiter, Saturn, Uranus, and Neptune are composed mainly of gases like hydrogen, helium, and methane. They are devoid of solid surfaces.

Also, they all have a large number of moons orbiting them.

Therefore, the outer gaseous giants are characterized by abundant gases like hydrogen, helium, methane, etc while the inner terrestrial planets are characterized by abundant solid elements like iron, nickel, silicon, etc.

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An ion rocket engine produces 1 newton of thrust. What acceleration can it give to a space probe with a mass of 1000kg?.

Answers

The ion rocket engine give an acceleration to the space probe of: 0.001 m/s²

To solve this exercise, the formula and procedure to be applied is:

F = m * a

Where:

m = massF = Forcea = acceleration

Information about the problem:

F=  1 N1 N = kg * m/s²m = 1000kga= ?

Applying the force formula and isolating the acceleration, we get:

F = m * a

a = F/m

a = 1 N /1000kg

a =  1 kg * m/s² / 1000kg

a = 0.001 m/s²

What is force?

It is the physical magnitude that expresses the effort necessary to move the mass of one kilogram with an acceleration of one meter per second squared, this is expressed in units of the international system in Newton.

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compare and contrast the excited state and the ground state of electrons. please use proper grammar and mechanics.

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The primary distinction between a system's ground state and excited state is that a system's ground state is any state in which its electrons are at their lowest potential energy levels, whereas an excited state is any state in which they are at an energy higher than the system's ground state.

What do you mean by the excited state and the ground state of the electron?

Any quantum state of a system that has higher energy than the ground state is considered to be in an excited state in quantum mechanics. An increase in energy level over a predetermined starting point, typically the ground state, but occasionally an already excited state, is referred to as excitation.

A ground-state atom is one in which moving one or more electrons to different orbitals will not reduce the overall energy of the electrons in the atom. In other words, all of the electrons in a ground-state atom are at their lowest conceivable energy levels.

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A boat moves with a velocity of 15 m/s N in a river which flows with a velocity of 8 m/s W. Calculate the boats resultant velocity with respect to due North.

Answers

The resultant velocity of the boat with respect to the North is 17 m/s North-West.

What is resultant velocity?

Resultant velocity is the single velocity obtained when two or more velocities are are combined.

To calculate the resultant velocity of the boat, we use the formula below.

Formula:

R² = P²+Q²............... Equation 1

From the question,

Given:

P = 15 m/s NQ = 8 m/s WWhere R is the resultant velocity of the boat.

Substitute these values into equation 1

R² = 15²+8²R² = 289R = √(289)R = 17 m/s North-West.

Hence, the resultant velocity of the boat with respect to the North is 17 m/s North-West.

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A ball is projected 125 meters straight upward and then falls the same distance back to its starting point. Neglecting air resistance, its total time in the air is about.

Answers

The ball that is projected 125 meters straight upward has a total time in the air of: 10.1 s

The formulas for the vertical launch upward and the procedures we will use are:

y max = v₀²/(2*g)t max = v₀/ gt(of)=2*t max

Where:

v₀ = initial velocityg = gravityy max = maximum heightt max = time to reach maximum heightt(of) =  time of flight

Information about the problem:

g = 9.8 m/s²y max= 125 mv₀ = ?t max =?t(of) =?

Applying the maximum height formula and clearing the initial velocity we get:

y max = v₀²/(2*g)

v₀ = √(y max * (2*g))

v₀ = √( 125 m * (2 * 9.8 m/s²))

v₀ = √( 125 m * 19.6 m/s²)

v₀ = √2450 m²/s²

v₀ = 49.497 m/s

Applying the maximum time formula we get:

t max= v₀ / g

t max= 49.497 m/s / 9.8 m/s²

t max = 5.050 s

Applying  the time of flight formula, we get:

t(of) =2 * t max

t(of) =2 * 5.050 s

t(of) = 10.1 s

What is vertical launch upwards?

In physics vertical launch upwards is the motion described by an object that has been launched vertically upwards in which the height and the effect of the earth's gravitational force on the launched object are taken into account.

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The time spent in the air by the ball is 10.01 seconds.

What is the total time in the air by the ball?

The total time spent in the air by the ball is the sum of the time it spends moving up and the time it spends falling down.

The time spent by the ball moving up - time spent by the ball travelling down.

Time spent by the ball traveling down a distance of 125 meters is calculated using the formula given as follows:

t = √2h/g

Total time spent = 2 * √2h/g

where:

h = 125 m

g = 9.81 m/s²

T = 2 * √(2 * 125/9.81)

T = 10.01 s

Therefore, the time spent in the air by the ball is the sum of the time spent moving up and the time it spends falling down which are both equal.

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Q|C The speed of a one-dimensional compressional wave traveling along a thin copper rod is 3.56 km/s . The rod is given a sharp hammer blow at one end. A listener at the far end of the rod hears the sound twice, transmitted through the metal and through air, with a time interval Δt between the two pulses.(b) Find the length of the rod as a function of Δt.

Answers

The length of the rod as a function is  379.57 Δt

(b) The speed of a wave in metal=3560 m/s

Let L be the length of the rod.

[tex]-\frac{l}{3560}+\frac{l}{343}=\Delta t \\&l=\Delta t\left(\frac{1}{-\frac{1}{3560}+\frac{1}{343}}\right)[/tex]

[tex]\\&l=379.571 \Delta t \\&\text[/tex]

As a result, the rod's length as a function is 379.57 Δt.

Where does the wave travel?A wave in which the medium's particles travel gradually in the direction of the wave's propagation with a gradation of speeds such that the faster particles overcome the slower and are then overtaken themselves, similar to a standing wave.A wave is the result of an object moving through a medium, such as water or air. When an object moves, it creates waves in the surrounding area that are similar to the shape and size of the original object. This phenomenon can be observed quite easily when you put two smooth rocks next to each other and watch how their respective waves crash against each other.

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which phrase best describes the structure of an atom
A. a solid ball of protons, neutrons, and electrons
B. A nucleus surrounded by an electron cloud
C. A nucleus by electrons in set orbits
D. A core of protons surrounded by an electron cloud

Answers

The phrase which best describes the structure of an atom from the answer choices given above is a nucleus surrounded by an electron cloud.

The correct answer choice is option b

This means that an atom consist of a centrally placed nucleus in which electrons revolves around it. The nucleus of any given atom consist of protons and neutrons. Electrons revolve round the nucleus of any atoi

What is an atom?

An atom is a smallest particle of an element that takes part in chemical reaction.

Atom is divided into three basic parts:

Protons: They are positively charged subatomic particle forming part of the nucleus of an atom and determining the atomic number of an element, composed of two up quarks and a down quark.

Neutrons: This is a subatomic particle forming part of the nucleus of an atom and having no charge; it is a combination of an up quark and two down quarks.

Electrons: It is a subatomic particle having a negative charge and orbiting round the nucleus of any given atom of an element; the flow of electrons in a conductor constitutes electricity.

So therefore, the phrase which best describes the structure of an atom from the answer choices given above is a nucleus surrounded by an electron cloud.

The correct answer choice is option b

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How long would it take the Concorde to travel the 6265 km between New York City and London England, assuming that the jet travels at its maximum speed of 2,150 km/h during the entire trip?

Answers

Answer:

2.9 Hrs

Explanation:

Time = Distance/velocity

6265  / 2150 ≈ 2.9 hrs

The rest energy of an electron is 0.511MeV. The rest energy of a proton is 938MeV. Assume both particles have kinetic energies of 2.00MeV. Find the speed of(c) By what factor does the speed of the electron exceed that of the proton?

Answers

The speed of electron exceeds that of the proton by 0.917c given that the rest energy of an electron is 0.511MeV and the rest energy of a proton is 938MeV, with both particles having kinetic energies of 2.00MeV.

From,

v=√1-1/γ^2 ×c     (1)

 Where γ=4.91 for electrons and γ=1.002 for protons

The speed of proton is 0.063c and the speed of the electron is 0.98c

∆V  is the change in velocity or speed

V_e  is the velocity of the electron

V_p  is the velocity of the proton

Change in velocity between the electron and proton ∆V=V_e-V_p

∆V=0.98c-0.063c

∆V=0.917c

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A SQUARE induction coil with a side length 3 cm and 400 windings, is placed perpendicularly in a uniform magnetic field and then rotated through an angle of 45⁰ in 0,08 s. C E S An emf of 7 V is induced in the coil. 3.1 Calculate the change in the magnetic flux. 3.2 Calculate the magnitude of the magnetic field.​

Answers

The result will be E1=E2>E4>E3


When the plane of the armature of an a.c. dynamo is parallel to the lines of force of the magnetic field, the amplitude of the induced e.m.f. is at its greatest. Additionally, the rate of change of the magnetic flux associated with the armature is at its greatest. As a result, in this orientation, the e.m.f. induced in the armature is greatest.

The EMF's amplitude is equal to Nr2B. N is the number of turns, and r is the square's half-side.

In example 3, the axis is perpendicular to the magnetic field, hence the flux is zero and the amplitude is zero as a result.

Case 4 has an axis that falls between types 1, 2, and 3.

Here, we must consider the angular velocity's x and y components.

Component in the x direction will be zero.

Additionally, the new angular velocity will be 2w because it is exactly halfway between x and y.

So now put these numbers in actual formula. The result will be E1=E2>E4>E3

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A series of pulses, each of amplitude 0.1m, is sent down a string that is attached to a post at one end. The pulses are reflected at the post and travel back along the string without loss of amplitude.(i) What is the net displacement at a point on the string where two pulses are crossing? Assume the string is rigidly attached to the post.(a) 0.4 m(b) 0.3 m(c) 0.2 m(d) 0.1 m(e) 0

Answers

(e) The net displacement at a point on the string is zero.

The term "displacement" refers to a shift in an object's position. It has a magnitude and a direction, making it a vector quantity. An arrow pointing from the starting point to the finishing point serves as its symbol.

A string that is connected to a post at one end is used to transmit a sequence of pulses, each measuring 0.1 meters in amplitude.

At the post, the pulses are reflected and return along the string without losing any of their amplitude.

Now, let's say the post is firmly fastened to the string.

The pulse will then be inverted upon reflection if one of the endpoints is fixed. As a result, when they collide, they cancel one another, leaving the amplitude at zero. As a result, the displacement at a string position where two pulses intersect is zero.

The correct option is (e).

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The most soaring vocal melody is in Johann Sebastian Bach's Mass in B Minor. In one section, the basses, tenors, altos, and sopranos carry the melody from a low D to a high
A. In concert pitch, these notes are now assigned frequencies of 146.8Hz and 880.0 Hz . Find the wavelengths of(b) the final note. Assume the cho-rus sings the melody with a uniform sound level of 75.0 dB .

Answers

The wavelength of the final note is 0.389m

What do you mean by the term wavelength?

The distance between two successive crests or troughs of a wave is known as its wavelength. It is measured in the wave's direction. The distance a wave travels between its crests or troughs is known as its wavelength (which may be an electromagnetic wave, a sound wave, or any other wave). The wave's crest is its highest point, while its dip is its lowest. Because a wavelength represents a distance or length, it is expressed in length units like meters, centimeters, millimeters, nanometers, etc. Light's wavelength changes with color, or it differs for each hue. While violet has the shortest wavelength, red has the longest.

wavelength = v/f

wavelength = 343/800 m = 0.389m

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comparison of k-wire versus screw fixation after open reduction of transitional (tillaux and triplane) distal tibia fractures

Answers

K-wires or pins are smooth, sharpened, and sterilized pins made of stainless steel. The wires are now frequently utilized in orthopedic surgery as well as other forms of human and animal surgery.

What do you mean by k wire and screw fixation?

Sometimes it's necessary to mend a fracture with Kirschner wires (K-wires), which are firm, straight wires (broken bone). K-wires are frequently referred to as "pins." K-wires may be required if your child has a fracture that requires surgery in order to keep the bones in place while they mend.

Surgery is used in open reduction and internal fixation (ORIF) to put shattered bone fragments back together. The shattered bone is held together with screws, plates, sutures, or rods. When a shattered bone is in multiple parts, an ORIF is frequently performed as an emergency operation. The goal is to facilitate joint bone healing.

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I give the crown I offer 20 points please I really need it tonight now!!!!

Answers

Answer:

It's all in the Explanation.

Explanation:

You round the number of the IP address and boom. You have your answer.

if you run off the pavement, you should: turn the steering wheel quickly toward the road steer straight and slow down before attempting to return to the pavement steer straight ahead and speed up apply the brakes hard submit answer

Answers

pavement is defined as the surface of Road or sidewalk.

for example, the surface of Expressway.

There are two types of pavement.

rigid pavement which consists of one layer.

flexible pavement which consist of multiple layers.

While driving on roads of rural areas, if our right wheel moves off the pavement, we should always hold the steering wheel firmly and then take our foot off the pedal, then apply brake lightly until we are moving at a low speed.

if you run off the pavement, you should: turn the steering wheel quickly toward the road steer straight and slow down before attempting to return to the pavement steer straight ahead and speed up apply the brakes hard

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A solid sphere of radius 40.0cm has a total positive charge of 26.0μC uniformly distributed throughout its volume. Calculate the magnitude of the electric field(c) 40.0cm

Answers

The magnitude of the electric field for 40 cm is 1.46 × 10^6 N/C

We choose a Gaussian sphere of radius r = R. Apply Gauss’s law from  Equation (1):

[tex]\Phi_{\text{E}}=\oint \overrightarrow{\mathbf{E}}\cdot d\overrightarrow{\mathbf{A}}=\dfrac{q_{\text{in}}}{\epsilon_0}[/tex]

[tex]\oint EdA=\dfrac{q_{\text{in}}}{\epsilon_0}[/tex]

[tex]E\oint dA=\dfrac{q_{\text{in}}}{\epsilon_0}[/tex]

[tex]EA=\dfrac{q_{\text{in}}}{\epsilon_0}[/tex]

Where A is the area of the solid sphere found from Equation (2) and [tex]q_{\text{in}}[/tex] is the charge enclosed by the Gaussian surface  which is the total charge of the sphere found from Equation (3):

[tex]E(4\pi r^2)=\dfrac{\rho V}{\epsilon_0}[/tex]

[tex]E(4\pi r^2)=\dfrac{(Q/\bcancel{V})\bcancel{V}}{\epsilon_0}[/tex]

Solve for E:

[tex]E=\dfrac{Q}{4\pi\epsilon_0 r^2}\tag{6}[/tex]

Substitute numerical values:

[tex]E&=\dfrac{26\times 10^{-6}}{4\pi (8.8542\times 10^{-12})(0.4)^2}\\ &={1.46\times 10^{6}\;\mathrm{N/C}\;\text{directed radially outward}}}[/tex]

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scientific thinking usually starts with what?

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Answer:

Ask a question.

Explanation:

Your question is the basis of any theory.

there are two types of waves: electromagnetic and mechanical. can either type travel regardless of the presence of a medium?

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Yes, electromagnetic can travel without medium.

Mechanical waves and electromagnetic waves are two important ways that energy is transported in the world around us.

Waves in water and sound waves in air are two examples of mechanical waves.

Mechanical waves are caused by a disturbance or vibration in matter, whether solid, gas, liquid, or plasma.

Matter that waves are traveling through is called a medium.

These mechanical waves travel through a medium by causing the molecules to bump into each other, like falling dominoes transferring energy from one to the next.

Sound waves cannot travel in the vacuum of space because there is no medium to transmit these mechanical waves.

On the other hand electromagnetic waves don't require medium for its propagation.

An easy example would be light which is an EM wave reaches earth even though space has no medium.

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