there is a single electron at a distance from the point charge. on which of the following quantities does the force on the electron depend?

Answers

Answer 1

The force acting on the electron is dependent upon the distance seen between positive charge and indeed the electron, the charges on the electron, and indeed the charge of something like the positive charge.

Why is there a positive charge?

A material that has more protons than electrons is said to have a positive charge. We are aware that electrons seem to be positively charged and protons become positively charged. Consequently, positively charged objects have more protons than electrons.

The positive charge is absent:

The positive charge on the protons and neutrons (red) results from an imbalance between protons and electrons, more particularly, when there are more protons than electrons. Protons can be added to an atom or other substance with both a neutral charge to produce a positive charge.

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The electric field points away from positive charges and toward negative charges. A distribution of charges creates an electric field that can be found by taking the vector sum of the fields created by individual point charges. Note that if a charge is placed in an electric field created by q', q will not significantly affect the electric field if it is small compared to q'.

Imagine an isolated positive point charge with a charge Q (many times larger than the charge on a single electron).

There is a single electron at a distance from the point charge. On which of the following quantities does the force on the electron depend?

Check all that apply.

A the distance between the positive charge and the electron

B the charge on the electron

C the mass of the electron

D the charge of the positive charge

E the mass of the positive charge

F the radius of the positive charge

G the radius of the electron

I got A, B, and D for this part of the problem and was correct. However,

For the same situation as in Part A, on which of the following quantities does the electric field at the electron's position depend?

Check all that apply.

A the distance between the positive charge and the electron

B the charge on the electron

C the mass of the electron

D the charge of the positive charge

E the mass of the positive charge

F the radius of the positive charge

G the radius of the electron


Related Questions

A 6. 96-nc charge is located 1. 90 m from a 3. 86-nc point charge. Find the magnitude of the electrostatic force that one charge exerts on the other.

Answers

The required electrostatic force when the charges and distance are specified is calculated to be 66.98 × 10⁻⁹ N.

The charge q₁ is given as 6.96 nC.

The charge q₂ is given as 3.86 nC.

Distance r = 1.9 m

The magnitude of the electrostatic force that one charge exerts on the other is to be found out. The force between two charges at a distance is given by the formula,

F = k q₁ q₂/r² = (9 × 10⁹ × 6.96 × 10⁻⁹ × 3.86× 10⁻⁹)/1.9² = 66.98 × 10⁻⁹ N

Thus, the required electrostatic force is calculated to be 66.98 × 10⁻⁹ N.

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Which of the following is an advantage that electronic brainstorming has over traditional brainstorming?It prevents participants from all answering at once.Cost effectiveIt allows participants to answer anonymously.It allows only one person to talk at a time.It encourages "social loafing".

Answers

An advantage that electronic brainstorming has over traditional brainstorming: Option. It allows participants to answer anonymously.

Electronic brainstorming provides anonymity, allowing participants to contribute freely without fear of judgement.

Electronic brainstorming provides a unique advantage over traditional brainstorming in that it allows participants to answer anonymously. This means that participants can contribute freely without the fear of judgement or criticism from others.

This allows more honest and open dialogue, as participants can express their ideas without the worry of being judged or having their ideas dismissed.

Additionally, electronic brainstorming is usually more cost-effective, as there is no need to arrange a physical meeting space or provide food and beverages. This makes it an ideal choice for those looking to brainstorm without the hassle or cost of traditional brainstorming.

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Find the amount of heat needed to increase the temperature of 5.0Mol of an ideal monatomic gas by 23K if (a)the pressure or (b)the volume is held constant.

Answers

The amount of heat needed is 2812.5 Joules.

To find the amount of heat needed to increase the temperature of 5.0 moles of an ideal monatomic gas by 23K when the pressure or volume is held constant, you can use the formula Q = nCΔT, where Q is the amount of heat, n is the number of moles, C is the heat capacity of the gas, and ΔT is the change in temperature.

In this case, n = 5.0 moles, C = 24.5 (the heat capacity of an ideal monatomic gas at constant pressure), and ΔT = 23K. Therefore, the amount of heat needed is Q = 5.0 * 24.5 * 23 = 2812.5 Joules.

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the conductor offers some amount of ohmic resistance to the flow of electrons, depending on the type of material from which the conductor is made, its length, and its .

Answers

Depending on the type of material used, the length, and other factors, the conductor provides some ohmic resistance to the flow of electrons.

Because electrons in a conducting wire reject one another, a conducting wire provides resistance to the flow of electrons. The electrolyte resistance, the current collector resistance, the active mass, and the transition resistance between the current collector and active mass are added to create the ohmic resistance, or RB.

Theoretically, in accordance with Ohm's rule, the voltage at the ohmic resistance instantly follows the battery current. A substance or material that permits the flow of electricity is known as an electrical conductor. Electrical charge carriers, often electrons or ions, flow freely in a conductor.

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Contingent upon the sort of material utilized, the length, and different variables, the guide gives ohmic protection from the progression of electrons.

Since electrons in a directing wire reject each other, a leading wire gives protection from the progression of electrons. The electrolyte obstruction, the ongoing authority opposition, the dynamic mass, and the progress obstruction between the ongoing gatherer and dynamic mass are added to make the ohmic obstruction or RB.

Hypothetically, as per Ohm's standard, the voltage at the ohmic obstruction in a split second follows the battery current. A substance or material that allows the progression of power is known as an electrical transmitter. Electrical charge transporters, frequently electrons or particles, stream uninhibitedly in a transmitter.

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Someone tries to tell you that a freezer cools food by transferring cold to the particles in the food. (has to be 1 sentence)
How would you respond? Construct an argument.
am in 8th grade
pls explain as well bc I’m like rlly slow

Answers

Freezing keeps food safe by slowing the movement of molecules, causing microbes to enter a dormant stage. Freezing preserves food for extended periods because it prevents the growth of microorganisms that cause both food spoilage and foodborne illness.

What is freezing food?

Food is preserved when frozen, keeping it fresh from preparation until consumption.Farmers, fishers, and trappers have traditionally stored their produce and grains over the winter months in unheated structures.By turning any remaining moisture in food into ice, freezing it slows the breakdown process and prevents the majority of bacterial species from proliferating.Mechanical and cryogenic techniques are used in the food commodities industry (or flash freezing).To maintain the food's flavour and texture, freezing kinetics is crucial. Smaller ice crystals are produced more quickly, preserving cellular structure.

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A 10,000-kg rocket blasts off from earth with a uniform upward acceleration of 2.00 m/s2 and feelsno air resistance. The upward thrust force its engines must provide during this acceleration is closest toA) 20,000 N.B) 980,000 N.C) 118,000 N.D) 78,000 N.

Answers

The upward thrust force of rocket engines must provide is 118,000 N (C)

At the precise moment of launch, the force pushing upwards and the weight acting downwards are the two forces that are acting on rockets. At the surface of the Earth, the force exerted by gravity is referred to as weight, and it may be determined by multiplying the mass in kilograms by 9.8 m/s². The upward thrust force can be calculated by this following formula:

                                                               F = m × (a +g)

Where:

F = the upward thrust force

m = the mass of the object

   = 10,000 kg

g = the acceleration due to gravity

   = 9.8 m/s²

a = the uniform upward acceleration

  = 2 m/s²

Thus, the upward thrust force of rocket engines must provide is

F = 10,000 × (2 + 9.8)

  = 118,000 Newton

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You have learned how astronomers talk about huge astronomical distances. Based on what you learned, select all of the correct statements from the following list. a. The distances to stars are measured in light years. b. A light-year is larger than an astronomical unit.
c. Astronomers use the metric system for calculations.

Answers

The distances to stars are mainly measured in parsecs, a light-year is larger than an astronomical unit (AU), and for calculations, astronomers use the metric system. Therefore, B and C are the correct options.

The metric system refers to the international decimal system of measurement. Since it is used internationally, it is a good idea that scientists use the metric system as a standard system of measurement. Astronomy is a science, so astronomers do use the metric system, though they prefer units (such as astronomical units, light years, and parsecs) that describe very long distance since space is huge.

Astronomers use light years to measure the distances between stars. But to measure the distances (from Earth) to stars, astronomers prefer to use parsecs.

A light-year is much greater than an AU (astronomical unit). A light year is defined to be equal to 63,240 AU.

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Unscramble the terms in italics to complete the sentences below. Write the terms on the lines provided. 5. In dry regions where sheep and cattle eat the grasses, reggianvorz increases soil erosion.​

Answers

The term which describes the increased soil erosion in the regions where sheep and cattle eat the grasses and reggianvorz is called overgrazing.

What is overgrazing ?

Overgrazing happens when livestock and other grazers (such as wildlife) consume more plant biomass than the vegetation can replenish in a reasonable amount of time, exposing the soil and lowering the vegetation's potential for production.

The exposure of the soil might hasten the potential for processes of water and wind erosion, which can result in soil losses. Less water infiltration into the soil might result in slower plant growth due to accelerated erosion processes and soil compaction caused by grazing animals.

Because less plant biomass is accessible as litter due to ongoing overgrazing, less soil organic matter, nutrients, and biotic activity are added to the soil. This causes the soil structure to deteriorate, which lowers the soil's capacity to store water and raises the risk of erosion.

Therefore, the term describing the given action is overgrazing.

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An electron is released from rest in a uniform electric field. Determine whether the following quantities increase, decrease, or remain unchanged as the electron moves. Indicate your answers with I (increase), D (decrease), or U (unchanged), respectively.a) The electric potential at the electron's locationb) The electron's associated electric potential energyc) Its kinetic energyd) Its total energy

Answers

As the electron moves in a uniform electric field, the following changes occur:

a) The electric potential at the electron's location decreases

b) The electron's associated electric potential energy decreases

c) Its kinetic energy increases

d) Its total energy remains unchanged.

This is because the potential energy is converted into kinetic energy as the electron moves from a higher potential location to a lower one. The total energy remains constant, as energy cannot be created or destroyed, only converted from one form to another.

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Electric field lines always begin at _______ charges (or at infinity) and end at _______ charges (or at infinity). One could also say that the lines we use to represent an electric field indicate the direction in which a _______ test charge would initially move when released from rest. Which of the following fills in the three missing words correctly?

Answers

Electric field lines always begin at positive charges (or at infinity) and end at negative charges (or at infinity). One could also say that the lines we use to represent an electric field indicate the direction in which a positive test charge would initially move when released from rest.

The field lines show us the motion of a positive test charge on one of those field lines. As a result, the field lines point in the direction of negative charges and away from positive charges. Instead, we may state that what we need is information about the movement of negative test charges from the field lines. Then the arrows would turn around, and someone would innocently inquire about the exact opposite.

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a metal having a cubic structure has a density of 19.302 g/cm 3 an atomic weight of 196.97 g/mol and a lattice paramater of 4,0786 a one atom is associated with each lattice point determine the crystal structure of the metal

Answers

The metal's crystal structure is FCC.

Finding a metal's density to atomic weight ratio and lattice parameter value will reveal the metal's crystal structure. The ratio of density to atomic weight is about equivalent to the quantity of atoms per unit cell in the crystal structure if the metal has a density of 19.302 g/cm3 and an atomic weight of 196.97 g/mol.

One atom per lattice point in a cubic structure with a lattice parameter of 4.0786 corresponds to a simple cubic (SC), body-centered cubic (BCC), or face-centered cubic (FCC) structure. The lattice parameter and density to atomic weight ratio are most consistent with an FCC crystal structure.

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The takeoff speed for an Airbus A320 jetliner is 80 m/s. Velocity data measured during takeoff are as shown.a. Is the jetliner’s acceleration constant during takeoff? Explain.b. At what time do the wheels leave the ground?c. For safety reasons, in case of an aborted takeoff, the runway must be three times the takeoff distance. Can an A320 take off safely on a 2.5-mi-long runway?

Answers

The acceleration is expressed as the product of the change in time and the change in velocity, and it is 2.3 m/s. 34.78 seconds pass before the wheels lift off the ground.

How do velocity and speed differ?

Speed is the rate at which an object travels along a path over time, whereas velocity is the speed and direction of an item's motion.

Taking the first interval, we find

a = Δvx/Δt

a = 23m/s/10m/s

a = 2.3m/s

By dividing the acceleration in m/s2 by the value of g, or the acceleration of gravity (9.81 m/s2), we may determine the jet's acceleration in g's.

ag = a/g

2.3/9,8

ag = 0.33g

When the jet reaches its takeoff velocity, which is 80 m/s, the wheels come off the ground.

The jet's velocity is zero at time t=0 s. Since we are aware that the acceleration is constant (a=2.3 m/s2), we can use the equation to determine the time t at which the jet achieves a velocity of vf=80 m/s.

vf = vi + at

Re-arranging and substituting numbers, we find

t = vf/a

t = 80/2.3

t = 34.78s

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Find the area of a parallelogram defined by the vector A(6,3,1)m and B(-2,4,5)

Answers

The area of the parallelogram is 40.60m^2.

What is the area of the parallelogram?

Generally, To find the area of a parallelogram defined by two vectors, we can use the formula

A = |A x B|,

where

A and B are the two vectors.

A x B = (3*5 - 4*1, 6*5 - (-2)*1, 6*4 - (-2)*3)

    = (17, 28, 24)

|A x B| = √(17² + 28² + 24²)

       = 40.60m2

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An 85 L flexible container holds 3.4 moles of gas. How many moles of gas should be removed to decrease the volume of the container to 40 L?

Answers

1.8 moles of gas should be removed to decrease the volume of the container to 40 L

What is Avogadro's law?

Avogadro's Law states that the volume of a gas is directly proportional to the number of moles (or a number of particles) of gas when the temperature and pressure are held constant.

Given, An 85 L flexible container holds 3.4 moles of gas.

This problem requires Avogadro's law, which states that the amount (moles) of a gas is directly proportional to its volume, such that if the amount increases, the volume increases and vice versa. You correctly determined the formula to use:

V = k×n or. V₁n₁=V₂n₂.

Let "x" be the number of moles in a 40l container

85/40 = x/3.4

Thus,

x = 1.8

Therefore, 1.8 moles of gas should be removed to decrease the volume of the container to 40 L

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Three equal charges are placed at three corners of the square of side length d. If q 4.0 nC and d= 4.0 m, what is the electric potential at the origin ?

Answers

The electric potential at the origin is 1.079 x 10^5 V.

What is electric potential?

Electric potential is a measure of the electric potential energy per unit charge in an electric field.

The electric potential at the origin can be calculated using Coulomb's law and the principle of superposition. The electric potential at a point due to a single charge is given by:

V = k * q / r

where

k is the Coulomb constant (8.99 x 10^9 Nm^2/C^2)q is the charge r is the distance from the point to the charge

The total electric potential at the origin due to all three charges is the sum of the potentials due to each charge.

Assuming the charges are all positive, the electric potential at the origin is:

V = k * q * (1/d + 1/√(2d^2) + 1/d)

Plugging in the values, we get:

V = 8.99 x 10^9 Nm^2/C^2 * 4.0 x 10^-9 C * (1/4.0 + 1/2 * 4.0 + 1/4.0) = 1.079 x 10^5 V.

Therefore, The electric potential at the origin is 1.079 x 10^5 V.

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What is the potential energy of a 5.0 kg object located 3 m above the ground?

Answers

Answer:

147 J

Explanation:

PE = mgh = (5.0 kg)(9.8 m/s²)(3 m) = 147 J

How much work must we do on an electron to move it from point A, which is at a potential of +50V, to point B, which is at a potential of -50V, along the semicircular path shown in the figure? Assume the system is isolated from outside forces

Answers

[tex]1.602 x 10^-17[/tex] is the work must we do on an electron to move it from point A, , to point B, that is at a potential of -50V, along the semicircular path.

What is electron?

In order to move the electron from point A to point B, we need to do work on it to overcome the electric potential difference between the two points. Since the two points have potentials of +50V and -50V respectively, the total potential difference is 100V.

Since the electric field is conservative, the work done by it depends only on the potential difference between points A and B and not on the path taken. The potential difference between points A and B is given by:

ΔV = V_B - V_A = -50 V - (+50 V) = -100 V

To move an electron from point A to point B, we need to do work on it equal to the change in its potential energy. The potential energy of an electron in an electric field is given by:

U = qΔV

where q is the charge of the electron, and ΔV is the potential difference.

The charge of an electron is:

q = -1.6 x [tex]10^{-19 }[/tex]C

Substituting the values, we get:

U = (-1.6 x [tex]10^{-19 }[/tex] C) x (-100 V)

U = 1.6 x [tex]10^{-19 }[/tex]

Therefore, we need to do work on the electron equal to 1.6 x 10^-17 J to move it from point A to point B along the given semicircular path.

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Part A: How much pressure is needed to compress the volume of an iron block by 0.20% ? Express your answer in N/m2. Use Biron=9.0×10^10 N/m^2.
Express your answer using two significant figures.

Part B: Compare it to atmospheric pressure (1.0×10^5 N/m^2).
Express your answer using two significant figures.

Answers

The bulk modulus of the iron block is given 9 × 10¹⁰ N/m². The volume change is 0.20 %. Then the pressure required for the compression is 1.8 × 10⁸ N/m².

What is bulk modulus?

Bulk modulus of an object is the measure of its resistance to compression. It is the ratio of infinitesimal increase in pressure to the decrease in volume.

B = ΔP/ΔV/V

  =  ΔPV/ΔV.

Given B  = 9 × 10¹⁰ N/m²

ΔV/V = 0.20/100 = 0.002

then ΔP = B ΔV/V

ΔP = 9 × 10¹⁰ N/m² × 0.002  = 1.8 × 10⁸ N/m²

Atmospheric pressure = 1 × 10⁵ N/m²

then ΔP/Patm = 1.8 × 10⁸ N/m²/1 × 10⁵ N/m² = 1800

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The given diagram shows the motion of a mass on a string which is swung in a circle. Which of the given arrows correctly shows the direction of the tangential velocity at the instant the mass is at the position shown?

- A
- B
- C
- D

Answers

The direction of the tangential velocity at the instant the mass is at position is diagram A.

What is tangential velocity?

Tangential velocity is the velocity of an object along a circle or curved path, at any given point. It is the component of the velocity that is perpendicular to the radius of the circle, and it is perpendicular to the radial velocity, which is the component of velocity that points towards or away from the center of the circle.

The tangential velocity determines the speed of an object as it moves along the circular path.

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a space shuttle is in a 250 mile high orbit what are the shuttle's orbit period in minutes and its speed

Answers

The orbital period of a space shuttle in a 250 mile high orbit is approximately 91.3 minutes, and the orbital speed is approximately 17,500 miles per hour (7.68 kilometers per second).

This speed is determined by the gravitational pull from Earth, as well as the height of the orbit. The higher the orbit, the slower the orbital speed. For a 250 mile high orbit, the shuttle will need to maintain a constant speed in order to stay in orbit. The speed and orbital period of a space shuttle in orbit depend on a number of factors, including the height of the orbit, the mass of the shuttle, and the gravitational pull of the Earth.

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A man pushes a lawn mower on a level lawn with a force of 211 N. If 50% of this force is directed forward, how much work is done by the man in pushing the mower 5.7 m?

Answers

Answer = 601.35 J


First find the amount of force that is directed forwards, where 50% of the 211N resultant force is directed forwards. This is because 50% of the force is directed elsewhere, so you want to find the other 50% of the force that pushes the mower forwards:

211 x 0.5 = 105.5 N


The equation for work done is as follows:

Work done = Force x Distance


Substitute in the values for force and distance:

Force = 105.5 N
Distance = 5.7 m

Work done = 105.5 x 5.7

Work done = 601.35 J

A heavy dart and a light dart are launched horizontally on a frictionless table by identical ideal springs. Both springs were initially compressed by the same amount. Which of the following statements about these darts are correct?

Answers

The statement which is correct about the lighter dart leaves the spring moving faster than the heavy dart. Option B is correct.

This is because both darts are launched with the same initial elastic potential energy from the compressed springs, but the lighter dart has less mass than the heavier dart. According to the law of conservation of energy, the lighter dart must move faster than the heavier dart in order to have the same amount of kinetic energy as the heavier dart once it leaves the spring.

The initial potential energy is the same for both darts, and since the potential energy is converted to kinetic energy, the lighter dart must have a higher velocity than the heavier dart in order to have the same amount of kinetic energy.

Therefore, option B is correct, while options A, C, D, and E are not, as they do not accurately describe the behavior of the darts in this scenario.

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--The complete question is, A heavy dart and a light dart are launched horizontally on a frictionless table by identical ideal springs. Both springs were initially compressed by the same amount. Which of the following statements about these darts are correct?

A) The darts both have the same kinetic energy just as they move free of the spring.

B) The lighter dart leaves the spring moving faster than the heavy dart.

C) The heavy dart had more initial elastic potential energy than the light dart.

D) Both darts move free of the spring with the same speed. E) Both darts had the same initial elastic potential energy.--

Transmission describes what happens when ____
A. two waves collide in the same medium.
B. a wave splits into two waves within the same medium.
C. multiple waves exchange energy within a single medium.
D. a wave passes into a new medium and travels through that medium.

Answers

Answer:

Explanation:

D. a wave passes into a new medium and travels through that medium.

Transmission refers to the process of a wave traveling through a new medium, such as when light passes through a pane of glass or sound travels through air.

convert the displacement amplitude, 2.58 mils peak-to-peak at 900 CPM to the equivalent velocity amplitude in inches per second-peak?

Answers

According to the problem the Velocity amplitude (in/s-peak) is 1.827 in/s-peak.

What is Velocity amplitude?

Velocity amplitude is the maximum speed at which a particle or object is traveling in a specific direction. It is a measure of the strength of the motion expressed in terms of the magnitude of the velocity. It can be determined by measuring the maximum value of the velocity vector over a given period of time. Velocity amplitude is an important concept in physics, as it allows for the calculation of the acceleration, momentum, and energy of a particle or object. It can also be used to determine the frequency of a periodic motion, such as the frequency of a wave or the frequency of oscillation.

The equation for converting displacement amplitude to velocity amplitude is:
Velocity amplitude (in/s-peak) = (2 x Displacement amplitude (mils-p-p)) / (π x Frequency (cpm))
Therefore, the velocity amplitude in inches per second-peak for a displacement amplitude of 2.58 mils peak-to-peak at 900 CPM is:
Velocity amplitude (in/s-peak) = (2 x 2.58 mils-p-p) / (π x 900 cpm)
Velocity amplitude (in/s-peak) = (5.16 mils-p-p) / (2,827.43 cpm)
Velocity amplitude (in/s-peak) = 1.827 in/s-peak

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A wheel turning 4.50 rad/s
experiences an angular
acceleration of -0.822 rad/s^2.
What is its angular velocity
after 12.0 s?

Answers

angular velocity after 12.0 s = 4.50 rad/s - (0.822 rad/s^2 * 12.0s)

angular velocity after 12.0 s = 2.052 rad/s

What is angular velocity?

Angular velocity is a measure of the angular displacement over time of a rotating object. It is expressed as the rate of change of angular displacement with respect to time, and is usually expressed in radians per second or revolutions per minute. Angular velocity is considered to be a vector quantity, meaning it has magnitude and direction. It is also a measure of the speed at which an object is rotating. When an object is rotating in a circular motion, its angular velocity is the same as its tangential velocity. Angular velocity can also be used to calculate the linear velocity of an object, by multiplying its angular velocity by the radius of its circular path.

Therefore, angular velocity after 12.0 s = 2.052 rad/s

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Answer: -5.36

Explanation:

ik this can help you now but i was doing this problem and figured id leave this here lolz

Based on the data Thomson collected in his experiments using cathode rays, the concept of atomic structure was modified. Which of the following statements about the atomic structure were validated by his cathode ray experiments?A. Cathode rays have mass.B. articles of the cathode rays are fundamental to all matter.C. Matter contains negative charge and by inference positive charge.D. There are subatomic size particles in an atom.

Answers

Based on the data Thomson collected in his experiments using cathode rays, the following statements about the atomic structure were validated:

A. Cathode rays have mass; B. Particles of the cathode rays are fundamental to all matter; C. Matter contains negative charge and by inference positive charge; and D. There are subatomic size particles in an atom.

Thomson Data is a division of Thomson Reuters, a global provider of data and analytics solutions for professionals in the financial and risk, legal, tax and accounting, and media markets.

It provides access to a wide range of data sources and solutions including company data, market data, reference data, news and content, and financial services data. Thomson Data's services are used by businesses, investors, and other professionals to gain insights into the markets and make informed decisions. The company's solutions are designed to help organizations access, curate, and analyze data in order to drive better business outcomes.

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A skier starts down a 10 degree incline at 2 m/s, reaching a speed of 15m/s at the bottom. What is the length of the incline?

How long does it take the skier to reach the bottom.

Answers

The length of the incline is 65 meter.

What is acceleration?

Acceleration is rate of change of velocity with time. Due to having both direction and magnitude, it is a vector quantity. Si unit of acceleration is meter/second² (m/s²).

Initial speed is = 2 m/s

Final speed is = 15 m/s

Acceleration  of the skier is = gsin10° = 9.8 × sin10° m/s² = 1.7 m/s

Let the  length of the incline is l

Hence,

15² = 2² + 2×1.7×s

s = 65

Hence, the length of the incline is 65 meter.

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Oil having a density of 930 kg/m^3 floats on water. A rectangular block of wood 4.17 cm high and with a density of 975 kg/m3 floats partly in the oil and partly in the water. The oil completely covers the block. How far below the interface between the two liquids is the bottom of the block?

Answers

Answer: 0.0268 m

Explanation:

Draw a free body diagram of the block.  There are three forces: weight force mg pulling down, buoyancy of the oil B₁ pushing up, and buoyancy of the water B₂ pushing up.

Sum of forces in the y direction:

∑F = ma

B₁ + B₂ − mg = 0

ρ₁V₁g + ρ₂V₂g − mg = 0

ρ₁V₁ + ρ₂V₂ = m

ρ₁V₁ + ρ₂V₂ = ρV

ρ₁Ah₁ + ρ₂Ah₂ = ρAh

ρ₁h₁ + ρ₂h₂ = ρh

(930 kg/m³)h₁ + (1000 kg/m³)h₂ = (968 kg/m³) (4.93 cm)

Since the block is fully submerged, h₁ + h₂ = 4.93 cm.

(930 kg/m³) (4.93 cm − h₂) + (1000 kg/m³)h₂ = (968 kg/m³) (4.93 cm)

h₂ = 2.68 cm

h₂ = 0.0268 m

As a result of the magnetic interaction between the soft iron and the bar magnet, which of the following will occur? Choose the correct answera) The magnet will experience a torque due to the iron attracting its north pole.
b) The magnet will experience a torque due to the iron attracting its south pole.
c) Whichever pole of the magnet is closest to the iron will be attracted to the iron.
d) Whichever pole of the magnet is closest to the iron will be repelled from the iron.

Answers

As a result of the magnetic interaction between the soft iron and the bar magnet, whichever pole of the magnet is closest to the iron will be attracted to the iron (option C)

A current-carrying solenoid creates its own magnetic field both inside and outside the solenoid when current is applied. The strength of the magnetic field inside the solenoid is increased when a soft iron bar or core is inserted because it magnetizes the iron bar.

The magnetic domains (small dipoles) present in the soft iron are aligned by the magnetic field of the bar magnet to produce the forces in this situation. It is possible to think of these domains as tiny perpetual current loops, and their propensity to align is known as permeability. The dipoles will be aligned to attract the pole of the bar magnet that is closest, and whichever pole of the bar magnet is nearest will dominate this alignment.

The question is incomplete, it should be:

A bar magnet oriented along the y axis can rotate about an axis parallel to the z axis. Its north pole initially points along j. Now the charge is replaced by an electrically neutral piece of initially unmagnetized soft iron (for example, a nail) that is not moving.

As a result of the magnetic interaction between the soft iron and the bar magnet, what will happen to the magnet?

Whichever pole of the magnet is closest to the iron will be attracted to the iron.

Choose the correct answer

a) The magnet will experience a torque due to the iron attracting its north pole.

b) The magnet will experience a torque due to the iron attracting its south pole.

c) Whichever pole of the magnet is closest to the iron will be attracted to the iron.

d) Whichever pole of the magnet is closest to the iron will be repelled from the iron.

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Use the provided Smith charts to find the normalized input impedance of a lossless line of length l terminated in a normalized load impedance zL for each of the following combinations. Show your work on the Smith chart clearly
a) l = 0.75λ, zL = 1+ j0
(b) l = 0.5λ, zL = 1- j1
(c) l = 0.2λ, zL = 1+ j1
(d) l = 1.3λ, zL = 0.5 + j0.5
(e) l = 0.2λ, zL = 0 (short circuit)

Answers

Use the provided Smith charts to find the normalized input impedance of a lossless line of length l terminated in a normalized load impedance zL for each of the following combinations. l = 1.3λ, zL = 0.5 + j0.5.so, option (c) is correct.

What is impedance?

The measure of resistance to electrical flow is called impedance, and it is denoted by the letter Z. In ohms, it is measured.

What is resistor?

An electrical component known as a resistor controls or restricts the passage of electrical current in an electronic circuit.

Knowing about different parts, such as resistors, inductors, capacitors, power sources, connecting wires, and more, is necessary when building a circuit. Among the circuit's essential elements is the resistor.

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