. [30%] We first showed that The electric field for a point charge radiating in 3-dimensions has a distance dependence of 1/r 2 (see Equation 1). In Problem 1 you showed that the electric field for a point charge radiating in 2-dimensions has a distance dependence of 1/r . Consider again the 2-dimensional case described in Problem 1. What distance dependence do you expect for the electric potential

Answers

Answer 1

Answer:

Answer is explained in the explanation section below.

Explanation:

Note: This question is incomplete and lacks necessary data to solve. As it mentioned the reference of problem number 1, which is missing in this question. However, I have found that question on the internet and will be solving the question accordingly.

Solution:

The relation between electric field and the electric potential is:

E = [tex]\frac{dV}{dr}[/tex]

So, making dV the subject, we have:

dV = E x dr

Integrating the above equation, we get.

V = [tex]\int\limits^_ {} \,[/tex]E x dr      Equation 1

Now, in 2-D

E is inversely proportional to the radius r.

E ∝ 1/r

So, we can write: replacing E ∝ 1/r in the equation 1

V ∝  [tex]\int\limits^_ {} \,[/tex][tex]\frac{1}{r}[/tex] x dr

Which implies that,

V ∝  log (r)

Hence, distance dependence expected for the electric potential =  ln (r)


Related Questions

Plzzz answer this correctly

Answers

Answer:

D, the acceleration  of A is twice that of b.

Explanation: in four seconds b got to ten, in two seconds a got to 20. Going  10m/s faster in half the time is going twice the acceleration

Dereck is looking at how electrically charged objects can attract other objects without touching. What control would he need to use?

An electrically charged object
An uncharged object
A positively charged object
A negatively charged object

Answers

Answer:

its An uncharged object.

if its not charged the electrically wont go on it

Answer:

uncharged object

Explanation:

It has been suggested that rotating cylinders several miles in length and several miles in diameter be placed in space and used as colonies. Inhabitants of the space colonies would live on the inside surface of the cylinder. Inertial effects would resemble gravity's influence and keep them 'plastered to the surface.' Suppose that you are an inhabitant of a space colony which is 1070 miles in length and 4.86 miles in diameter. How many revolutions per hour must the cylinder have in order for the occupants to experience a centripetal acceleration equal to the acceleration of gravity

Answers

Answer:

the required revolution per hour is 28.6849

Explanation:

Given the data in the question;

we know that the expression for the linear acceleration in terms of angular velocity is;

[tex]a_{c}[/tex] = rω²

ω² = [tex]a_{c}[/tex] / r

ω = √( [tex]a_{c}[/tex] / r )

where r is the radius of the cylinder

ω is the angular velocity

given that; the centripetal acceleration equal to the acceleration of gravity a [tex]a_{c}[/tex]  = g = 9.8 m/s²

so, given that, diameter = 4.86 miles = 4.86 × 1609 = 7819.74 m

Radius r = Diameter / 2 = 7819.74 m / 2 = 3909.87 m

so we substitute

ω = √( 9.8 m/s² / 3909.87 m )

ω = √0.002506477 s²  

ω = 0.0500647 ≈ 0.05 rad/s  

we know that; 1 rad/s = 9.5493 revolution per minute

ω = 0.05 × 9.5493 RPM

ω = 0.478082 RPM  

1 rpm = 60 rph  

so  

ω = 0.478082 × 60

ω = 28.6849  revolutions per hour  

Therefore, the required revolution per hour is 28.6849

The required revolution per hour is 28.6849

Calculation of revolution per hour:

The expression for the linear acceleration with respect to the angular velocity is

= rω²

So,

ω² =  / r

ω = √(  / r )

Here r represent the radius of the cylinder

ω represent the angular velocity

Now

diameter = 4.86 miles = 4.86 × 1609 = 7819.74 m

And,

Radius r = Diameter / 2 = 7819.74 m / 2 = 3909.87 m

So,

ω = √( 9.8 m/s² / 3909.87 m )

ω = √0.002506477 s²  

ω = 0.0500647 ≈ 0.05 rad/s  

Now

1 rad/s = 9.5493 revolution per minute

So,

ω = 0.05 × 9.5493 RPM

ω = 0.478082 RPM  

Now

1 rpm = 60 rph  

so  

ω = 0.478082 × 60

ω = 28.6849  revolutions per hour  

Learn more about the cylinder here: https://brainly.com/question/17262276

Which image represents a transverse mechanical wave?

Answers

Answer:

A

Explanation:

It is kinda like a spring.

The image which represents a transverse mechanical wave is A.

What is a mechanical wave?

The wave has motion if all points on a wave vibrate at right angles to the direction of the wave propagation.

A transverse wave is a mechanical wave which is much like sinusoidal wave which has particles vibrating about their equilibrium position perpendicular to the direction of the motion of the wave.

Hence, the image which represents a transverse mechanical wave is A.

Learn more about mechanical wave.

https://brainly.com/question/3101711

#SPJ2

A 0.15 kg baseball is traveling at 40 meters per second (about 90 miles per hour) if the ball comes to a complete stop when it hits the catchers mitt, what is the change in velocity?

Answers

Answer:

Please find attached pdf

Explanation:

Jack weighs 170 lbs and is 72 inches tall. He is pulling horizontally on a door handle situated at his shoulder height. Actually, it is his body weight and lean that creates this pulling action (a hint). His center of mass while standing erect is 61 percent of his body height, measured from the floor upwards. The door handle is 60 inches above the ground, and again he is pulling purely horizontally on this handle.

If Jack's lean angle is 20 degrees and he is leaning back - pivoting about his heels, how much force does he apply to the door handle?

Include units in your answer, lbs.

Express your answer to the nearest 0.1 lbs.

Answers

Answer:

He is pulling horizontally on a door handle situated at his shoulder height. ... His Center Of Mass While Standing Erect Is 61 Percent Of His Body Height, Measured ... Actually, it is his body weight and lean that creates this pulling action (a hint).

72ibs

the distance between crest and the adjacent trough of water waves is 3m, they pass a given point at rate of 5m/s. what is the frequency and the speed of water waves?

Answers

Adujan 3m waves so 3x?

Question 15 of 25
What is the period of a wave that has a frequency of 30 Hz?

Answers

Answer:

0.033 seconds

Explanation:

Period = 1/30 = 0.033 seconds

Answer:

The answer is 0.03 s

Explanation:

A.P.E.X.

The combination of an applied force and a friction force produces a constant torque of 36.0 N⋅m on a wheel rotating on a fixed axis. While the force acts for 6.00 s, the angular velocity of the wheel increases from 0 to 10.0 rad/s. The force is removed and the wheel comes to rest in 60.0 s
a. Find the moment of inertia of the wheel.
b. Find the magnitude of the torque due to friction.
c. Find the total number of rotations during the 66.0 s.
d. Find the Kinetic energy of the wheel at 6.00 s when the force is removed.

Answers

Answer:

D. Find the kinetic energy of the wheel at 6.00 z when the force is removed.

Young David who slew Goliath experimented with slings before tackling the giant. He found that he could revolve a sling of length 0.600 m at the rate of 5.00 rev/s. If he increased the length to 0.900 m, he could revolve the sling only 3.00 times per second. (a) What is the speed of the stone for each rate of rotation

Answers

Answer:

Explanation:

For circular motion of stone the formula is

v = ω R where ω is angular velocity , v is linear velocity .

For first motion ,

R = length of sling = .6 m

ω = 2π n , n is no of revolution per second

ω = 2 x 3.14 x 5 = 31.4 rad /s

v = 31.4 x .6 = 18.84 m /s

For second  motion ,

R = length of sling = .9 m

ω = 2π n , n is no of revolution per second

ω = 2 x 3.14 x 5 = 31.4 rad /s

v = 31.4 x .9 = 28.26  m /s

If all pairs of adjacent sides of a quadrilateral are congruent then it is called _________.

(A) rectangle (B) parallelogram (C) trapezium, (D) rhombus​

Answers

Answer:

D

Explanation:

If you need an explanation feel free to ask.

Which one of Newton’s Laws best explains a bottle flip?

Answers

the first one gravity

. You have two carts, one which is empty and has mass m. The second cart is of the same mass but loaded with twice the mass of the empty cart i.e. it has mass 3m. You push each of them (one at a time) with the same constant force, over the same distance, starting from rest. After you have pushed them through this distance, you remove the force. How will the kinetic energy of the loaded and empty carts compare to each other

Answers

Answer:

Their kinetic energies would be the same

Explanation:

This is because, since the force, F acting on them moves the same distance, d, the work done by the force is W = Fd.

Now, from work-kinetic energy principles,

W = ΔK where ΔK = change in kinetic energy of the carts.

Since the work-done is the same for both carts, their change in kinetic energies would also be the same.

Since they start from rest, ΔK = K' - K =  K' - 0 = K'

So, the kinetic energies of the carts would be the same

Plzz answer correctly

Answers

Answer:

B.

Explanation:

4. What is the acceleration of the car in each section?
b
с
d
a

Answers

Answer:

0-4 acceleration comes at 12 m/s where (B) stagnates at 12 m/s and remains for 4 seconds (C) is breaks being activated slowing the car to 6 m/s in 2 seconds and (D) over the course of 4 seconds brings the car to 10 m/s.

Explanation:

Acceleration is the slope of a velocity time graph.

Units are all m/s ^2

a) 3
b) 0
c) -3
d) 1 - doesn’t LOOK like a slope of 1, but if you look carefully at the Y axis, you can see it rises by 4 rather than 2.

A battery has an emf of ε = 15.0 V. THe terminal voltage of the battery is Vt = 11.6 V when it is delivering P = 20.0 W of power to an external load resistor R. (a) What is the value of R? (b) What is the internal resistance r of the battery?

Answers

AnswerHM???

Explanation:

I dONT KNOW

Which of the following choices is the best example of potential energy?

Answers

Answer:

A basketball sitting still in a players hands

Explanation:

The other 3 answers have the ball in motion (going towards the basket, bouncing, and rolling) so that would be kinetic energy.

When the basketball is sitting in the player's hands, it has the potential to be in motion.

Answer:

it is D not B it D

Explanation:

You throw a small rock straight up from the edge of a highway bridge that crosses a river. The rock passes you on its way down, 5.00 s after it was thrown. What is the speed of the rock just before it reaches the water 22.0 m below the point where the rock left your hand? Ignore air resistance.

Answers

Answer:

Explanation:

for vertical movement , time to reach the top = time to reach the hand = 2.5 s

v = u - gt

At the top , v = 0 , time t = 2.5 s

0 = u - g x 2.5

u = 2.5 x 9.8 = 24.5 m /s

velocity of throw = 24.5 m /s

So , when it passes the hand on its way down , it will have velocity equal to 24.5 m /s and it will accelerate downwards . Let its velocity down by 22 m be v

v² = u² + 2 g s

= 24.5² + 2 x 9.8 x 22

= 600.25 + 431.2

= 1031.45

v = 32.11 m /s .

Please help! Will mark brainliest.

Answers

Answer:

1122.8

Explanation:

12.73 kg x 9.8 m/s^2 x 9m

=1122.786

Rounded=1122.8

For a given substance, the molecules
move fastest when the substance is

Answers

Heat makes the molecules move faster

Answer:GAS

Explanation:

Which describes increasing the efficiency of an energy resource?
switching from coal to solar

making cars that get better gas mileage

using biomass instead of coal

turning off the lights when leaving a room

Answers

Answer:

making cars that get better gas mileage

Answer: Making cars that get better gas

Explanation: Gradpoint

Three joules of work is needed to shift 10 C of charge from one place to another. The potential difference between the places is ______. *
0.3 V
0.5 V
5 V
3 V​

Answers

Answer:

The potential difference between the places is 0.3 V.

∴ 1st option i.e. 0.3V is the correct option.

Explanation:

Given

Work done W = 3J

Amount of Charge q = 10C

To determine

We need to determine the potential difference V between the places.

The potential difference between the two points can be determined using the formula

Potential Difference (V) = Work Done (W) / Amount of Charge (q)

or

[tex]\:V\:=\:\frac{W}{q}[/tex]

substituting W = 3 and q = 10 in the formula

[tex]V=\frac{3}{10}[/tex]

[tex]V=0.3[/tex] V

Therefore, the potential difference between the places is 0.3 V.

∴ 1st option i.e. 0.3V is the correct option.

PLEASE HELP! WILL GIVE BRANILIEST TO FIRST REAL ANSWER If one marble is rolling three times as fast as a second marble of the same mass, the kinetic energy of the first marble is how many times larger when compared to the kinetic energy of the second marble?
a) 4
b) 9
c) 6
d) 3
(i already know its not 3)

Answers

Answer:

9

Explanation:

6th grade science I mark as brainliest

Answers

Answer:

8. organelle

Explanation:

9. Epithelial tissue

am i correct?

How can you drop two eggs the fewest amount of times, without them breaking?

Answers

Because the shell didn’t crack.

I hope this helps.

Answer:

get 2 jugs of water put an egg in each one drop the jugs with parachutes on them in long grass on a sunny non windy day

Explanation:

egg+ground=broken

egg-ground= egg+air

egg+air=unbroken

egg+water= egg+wet

egg+water= unbroken

egg+egg= 2 egg

egg+egg+air= egg+egg+unbroken+unbroken

egg+egg+unbroken+unbroken=(egg+unbroken)2

longgrass+egg= 40%unbroken+60broken+egg

longgrass+egg+egg=20%unbroken+80%broken+2egg

ground+water=mud

mud+egg=unbroken+egg+muddy

air+water=raining

egg+raining+air=wet+egg+slip+50%broken+50%unbroken

ask if need more proof

Galileo _____.

did not believe friction existed

believed that friction stopped objects in motion

believed that friction kept objects in motion

assumed that in a frictionless environment objects would never move

Answers

Answer:

friction help to slow motion in other word it oppose motion, but in a frictionless environment object would move with difficult stopping point.

2. (9 points) A car starts from 10 mph and accelerates along a level road, i.e., no grade change. At 500 ft from its starting point, a radar gun measures its speed as 50 mph. Assuming the car had a constant rate of acceleration, (a) calculate the time elapsed between when the car started at 10 mph to when its speed was measured and (b) what will the speed of the car be another 500 ft downstream of this point

Answers

Answer:

a) t = 11.2 s

b) v = 70.5 mph

Explanation:

a)

Since we need to find the time, we could use the definition of acceleration (rearranging terms) as follows:

       [tex]t = \frac{v_{f} - v_{o}}{a} (1)[/tex]

where vf = 50 mph, and v₀ = 10 mph.However, we still lack the value of a.Assuming that the acceleration is constant, we can use the following kinematic equation:

       [tex]v_{f} ^{2} - v_{o} ^{2} = 2*a* \Delta x (2)[/tex]

Since we know that Δx = 500 ft, we could solve (2) for a.In order to simplify things, let's first to convert v₀ and vf from mph to m/s, as follows:

       [tex]v_{o} = 10 mph*\frac{1609m}{1mi} *\frac{1h}{3600s} = 4.5 m/s (3)[/tex]

       [tex]v_{f} = 50 mph*\frac{1609m}{1mi} *\frac{1h}{3600s} = 22.5 m/s (4)[/tex]

We can do the same process with Δx, from ft to m, as follows:

       [tex]\Delta x = 500 ft *\frac{0.3048m}{1ft} = 152.4 m (5)[/tex]

Replacing (3), (4), and (5) in (2) and solving for a, we get:

       [tex]a = \frac{v_{f} ^{2} - v_{o}^{2}}{2*\Delta x} = \frac{(22.5m/s) ^{2} - (4.5m/s)^{2}}{2*152.4m} = 1.6 m/s2 (6)[/tex]

Replacing (6) in (1) we finally get the value of the time t:

        [tex]t = \frac{v_{f} - v_{o}}{a} = \frac{(22.5m/s) - (4.5m/s)}{1,6m/s2} = 11.2 s (7)[/tex]

b)

Since the acceleration is constant, as we know the displacement is another 500 ft (152.4m), if we replace in (2) v₀ by the vf we got in a), we can find the new value of vf, as follows:

       [tex]v_{f} = \sqrt{v_{o} ^{2} +( 2*a* \Delta x)} = \sqrt{(22.5m/s)^{2} + (2*1.6m/s2*152.4m)} \\ v_{f} = 31.5 m/s (8)[/tex]

If we convert vf again to mph, we have:

       [tex]v_{f} = 31.5m/s*\frac{1mi}{1609m} *\frac{3600s}{1h} = 70.5 mph (9)[/tex]

The engine in an imaginary sportThe engine in an imaginary sports car can provide constant power to the wheels over a range of speeds from 0 to 70 miles per hour (mph). At full power, the car can accelerate from zero to 30.0 mph in time 1.00 s .s car can provide constant power to the wheels over a range of speeds from 0 to 70 miles per hour (mph).

Required:
a. At full power, how long would it take for the car to accelerate from 0 to 58.0mph?
b. A more realistic car would cause the wheels to spin in a manner that would result in the ground pushing it forward with a constant force (in contrast to the constant power in Part A). If such a sports car went from zero to 29.0mph in time 1.50s , how long would it take to go from zero to 58.0mph ?

Answers

Answer:

a. 1.93 s b. 3 s

Explanation:

a. At full power, how long would it take for the car to accelerate from 0 to 58.0mph?

Since the car accelerates from 0 to 30 mph in 1.00 s, we find its acceleration, a from a = (v - u)/t where u = 0 m/s, v = 30 mph and t = 1.00s = 1/3600 h

So, substituting the values of the variables into the equation, we have

a = (v - u)/t

a = (30 mph - 0 mph)/ 1/3600 h

a = 30 mph × 3600 /h

a = 108000 mph²

So, we find the time it takes the car to accelerate to 58 mph from 0 mph from

t = (v' - u')/a where u = 0 mph, v = 58 mph and a = 108000 mph²

So, substituting the value of the variables into the equation, we have

t = (v' - u')/a

t = (58 mph - 0 mph)/108000 mph²

t = 58 mph/108000 mph²

t = 5.37 × 10⁻⁴ h

t = 5.37 × 10⁻⁴ × 3600 s

t = 1.93 s

b. A more realistic car would cause the wheels to spin in a manner that would result in the ground pushing it forward with a constant force (in contrast to the constant power in Part A). If such a sports car went from zero to 29.0mph in time 1.50s , how long would it take to go from zero to 58.0mph ?

Since the car accelerates from 0 to 29 mph in 1.50 s, we find its acceleration, a from a = (v - u)/t where u = 0 m/s, v = 29 mph and t = 1.05s = 1/3600 h

So, substituting the values of the variables into the equation, we have

a = (v - u)/t

a = (29 mph - 0 mph)/ 1.5/3600 h

a = 29 mph × 3600/1.5 /h

a = 104400/1.5 mph²

a = 69600 mph²

So, we find the time it takes the car to accelerate to 58 mph from 0 mph from

t = (v' - u')/a where u = 0 mph, v = 58 mph and a = 69600 mph²

So, substituting the value of the variables into the equation, we have

t = (v' - u')/a

t = (58 mph - 0 mph)/69600 mph²

t = 58 mph/69600 mph²

t = 8.33 × 10⁻⁴ h

t = 8.33 × 10⁻⁴ × 3600 s

t = 3 s

Drag the tiles to the correct boxes to complete the pairs
Match the particles with their characteristics.
subatomic particles with a positive charge
subatomic particles with a negative charge
subatomic particles with no charge
made of atoms
neutrons
electrons
protons
malaria

Answers

Answer:

1. Protons.

2. Electrons.

3. Neutrons.

4. Molecules.

Explanation:

1. Protons: subatomic particles with a positive charge. They are bound together in the nucleus of an atom due to strong nuclear forces.

2. Electrons: subatomic particles with a negative charge. Electrons can be defined as subatomic particles that are negatively charged and as such has a magnitude of -1.

3. Neutrons: subatomic particles with no charge. The negative charge of the electrons cancels the positive charge of the protons.

4. Molecules: they are made of atoms.

Generally, molecules attach on the inside of a mineral to give it shape. Therefore, the molecule of a mineral is a crystal three-dimensional regular structure (arrangement) of chemical particles that are bonded together and determines its shape.

Due to the fact that these molecules are structurally arranged or ordered and are repeated by different symmetrical and translational operations they determine the shape of minerals.

An object's mass has a greater influence on its kinetic energy than does its velocity. True or False?

Answers

Answer: I think false

Explanation:The velocity at which an object is sent moving and the mass of the object both play a hand in the level of kinetic energy that object produces. Mass and kinetic energy have a positive relationship, which means that as mass increases, kinetic energy increases, if all other factors are held constant.

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Steelweld, a car parts manufacturer, pays employees a higher hourly rate as they learn to master more parts of the work process. Employees earn $10 per hour when they are hired and they can earn up to $20 per hour if they master all 12 work units in the production process. What is most likely a benefit Steelweld is trying to achieve with this reward system? If you answer these questions i will give you free point's. (Answer all of them pls)1. I am 50% of a quarter of 32.2. I am two thirds of 60.3. I am exactly half-way between 25% of 80 cm and 40% of 120cm.4. I am one-quarter of 50% of 88kg.5. I am 3% of half of 600 pounds.6. I am exactly halfway between one fifth of 25cm and 2% of 300 cm.7. I am greater that 0.6 kg, less than one-third of 6 kg, and equal to four times 10% of 3kg. El da de tu santo El da de tu santo te hicieron regalos muy valiosos: un perfume extranjero, una sortija, un lapicero de oro, unos patines, unos tenis Nike y una bicicleta. Yo solamente te pude traer, en una caja antigua de color rap, un montn de semillas de naranjo, de pino, de cedro, de araucaria, de bellsima, de caobo y de amarillo. Esas semillas son pacientes y esperan su lugar y su tiempo. Yo no tena dinero para comprarte algo lujoso. Yo simplemente quise regalarte un bosque. 1. Describe la situacin que se presenta en el texto. (De qu habla el texto?) In which soil horizon do we find organic material? The Everglades is a unique ecosystem of aquatic birds, plants and animals. For this area to thrive, it must be protected. Which of the following would have the least effect on the water flow through the Everglades? A.) Planting trees that require an abundance of water for growthB.) Constructing a road from the east to the west coast of South FloridaC.) Building irrigation canals for farmers to obtain water for their cropsD.) Overfishing of native species The difference of four times a number and seven is 21. Find the number. which European countries have dependencies in the west indies The temperature early in the morning is 15 C. The temperature increases by 2 C for every hour for thenext 5 hours. Write a function for the temperature in degrees Celsius.f(h)= Aside from invasives like the crown-of-thorns starfish, what other factor is killing the Great Barrier Reef?O increased temperaturesO overactive algaeO reactive forms of oxygenO coral bleaching h/6-1=-3 h=?please help Why would you need to conduct a test with no enzyme added? A wave hits an object as shown.Which kind of wave interaction is shown?absorptiondiffractionrefraction reflection While rolling, a wheel with a diameter of 13/2m makes 196 revolutions. Find the distance that is traveled by the wheel. Use for 22/7 for pi Cullumber Co. began operations on January 2, 2020. It employs 15 people who work 8-hour days. Each employee earns 11 paid vacation days annually. Vacation days may be taken after January 10 of the year following the year in which they are earned. The average hourly wage rate was $18 in 2020 and $19.50 in 2021. The average vacation days used by each employee in 2021 was 10. Cullumber Co. accrues the cost of compensated absences at rates of pay in effect when earnedPrepare journal entries to record the transactions related to paid vacation days during 2020 and 2021. What is involuntary muscle To make some extra money over the summer, Kelsey and Olivia got jobs mowing the 5 acres of grass at the local park. Each week, the girls worked together to mow all the grass, splitting it equally. How many acres did each girl mow each week? brainleist for answering all questions and correct Dan jumps rope once a week at 65%-85% of his maximum heart rate for 10minutes. If Dan wants to improve his cardiorespiratory endurance, what part ofhis workout will he need to increase? In AJKL.m._J = 40and m K = 55. In AMNP, m M = 40 and m P = 85 A student concludes that the triangles are not similar. Do you agree or disagree? Why? (1 point) O Disagree, by the Interior Angles Theorem, m N = 55, so the triangles are similar by the AA similarity criterion O Disagree, by the Interior Angles Theorem, mZN = 45, so the triangles are similar by the AA similarity criterion O Agree by the interior Angles Theorem, m_N = 45 Togo the triangles are not similar by the AA O Agree, since m_K #m_P, the triangles are not similar by the AA similarity criterion The fisherman pays a contractor to repair his dock. The charges are $1200 for lumber, $60 for sales tax, and $750 for labor. The fisherman pays $260 down and finances the remainder. There is a finance charge of $41.06.