Four point charges, each of magnitude 2.38 µC, are placed at the corners of a square 75.2 cm on a side. If three of the charges are positive and one is negative, find the magnitude of the force experienced by the negative charge. The value of Coulomb’s constant is 8.98755 × 10^9 N · m^2/C^2 . Answer in units of N.

Answers

Answer 1

Answer:

The Electric Force on Negative Charge is 2.968 N

Explanation:

charge on each corner, q = 2.38 micro coulomb

Side of square, a = 75.2 cm

Coulombic constant, K = 8.98755 x 10^9 Nm²/C²

sides of the square are A,B,C and D

and all sides of a square are equal so

AB = BC = CD = DA = 75.2 cm = 0.752 m

Diagonal, AC = BD = 1.414 x 0.752 = 1.06 m

Electric field at D due to charge at A

EA= Kq÷AB^2

= 8.98755×10^9 × 9.87×10^-6 ÷ 0.752^2

EA= 156863.82 N/C

Similarly Electric field at D due to charge C

EC=Kq÷CD^2

= 8.98755×10^9 ×9.87×10^-6 ÷ 0.752^2

EC= 156863.82 N/C

Electric field at D due to charge at BB

EB=Kq÷BD^2

EB=8.98755×10^9 × 9.87×10^-6 ÷ 1.06^2

EB=78949.01 N/C

Resolve the compoents

Ex = EA + EB cos 45

Ex = 156863.82 + 78949.01 x 0.707

Ex = 212689.2 N/C

Ey = EC + EB Sin 45

Ey = 156863.82 + 78949.01 x 0.707

Ey = 212689.2 N/C

The resultant electric field is

E = 1.414 x 212689.2 = 300787.95 N/C

the electric force on the negative charge is

F = q x E

F = 9.87 x 10^-6 x 300787.95

F = 2.968 N


Related Questions

Why is the ‘dark side’ of the moon a misnomer?

Answers

Answer:

For starters, “dark side” is a misnomer. The far side may be constantly facing away from Earth, but as it orbits the Earth it sometimes faces the sun just as the bright side does. Thus the far side is subject to the same day/night temperature extremes as the side facing Earth.

Explanation:

The far side may be constantly facing away from earth, but as it orbits the earth it sometimes faces the sun just as the bright side does

why do we see optical illusion?​

Answers

Optical illusions occur because our brain is trying to interpret what we see and make sense of the world around us. Optical illusions simply trick our brains into seeing things which may or may not be real.

Optical illusions occur because our brain is trying to interpret what we see and make sense of the world around us. Optical illusions simply trick our brains into seeing things which may or may not be real.
Have a great day ;)

Hello people ~
Question: A hemisphere is uniformely charged positively. The electric field a point on a diameter away from the centre is directed

(a) perpendicular to the diameter

(b) parallel to the diameter

(c) at an angle tilted towards the diameter

(d) at an angle tilted away from the diameter​

Answers

As the electric field is present at a point on diameter the electric field intensity at the electric field components are parallel to the diameter hence they cancel out .

So the field is directed perpendicular towards the diameter

Option A

a 20-kg object travelling at 20 m/s collides head on with an 18-kg object travelling at 17 m/s.If they were locked together after the collision, what is their velocity?.​

Answers

Answer:

2.47 m/s

Explanation:

Momentum = Mass X Velocity

If they were locked together, it means its a perfectly inelastic collision. Therefore,

Total momentum before = Total momentum after

Total momentum before = (20 X 20) - (18 X 17)

= 94

Total momentum after = 94

Y = Object speed after collision

94 = (20+18)Y

Y = 2.47368421 m/s

Which types of electromagnetic waves have longer wavelengths than the waves that make up visible light? select three options. radio waves gamma rays microwaves infrared light ultraviolet light x-rays

Answers

Answer:

infrared light have longe rwave length

The three electromegnetic waves that have longer wavelengths that make up visible light will be microwaves, radio waves, and infrared light.

What is an electromagnetic wave?

EM waves are another name for electromagnetic waves. Electromagnetic radiations are made up of electromagnetic waves created when an electric field collides with a magnetic field.

Electromagnetic waves may alternatively be defined as the combination of oscillating electric and magnetic fields. Maxwell's equations are solutions to electromagnetic waves.

Of all electromagnetic waves, radio waves have the longest wavelength.

Hence the three electromegnetic waves that have longer wavelengths that make up visible light will be microwaves, radio waves, and infrared light.

To learn more about the electromagnetic wave refer to the link;

https://brainly.com/question/8553652

A spaceship moves at a constant velocity of 0.400c relative to an Earth observer. The pilot of the spaceship is holding a rod, which he measures to be 1.00 m long. The rod is held perpendicular to the direction of motion of the spaceship. How long is the rod according to the Earth observer

Answers

Since the rod is held perpendicular to the direction of motion of the spaceship, the rod is 1.00 m long to an Earth observer.

To answer the question, we use the principle of length contraction in relativity.

What is Length contraction?

The principle of length contraction states that the length of an object would only contraction when it is in the direction of motion.

So, since the 1.00 m long rod is in the spaceship is held perpendicular to the direction of motion of the spaceship, there is no length contraction and thus, an observer on the Earth measures the same length of 1.00 m.

So, Since the rod is held perpendicular to the direction of motion of the spaceship, the rod is 1.00 m long to an Earth observer.

Learn more about length contraction here:

https://brainly.com/question/17407131

How much heat does it take to melt a 0.234 kg ice cube at its melting point?​

Answers

Answer:

Q = M kg* 3.33E5 J / kg = .234 * 3.33E5 = 7.79E4 Joules

As a check (using 80 cal/gm as latent heat of fusion for water)

234 g * 80 cal/gm = 18720 cal

1 cal = 4.19 J

18720 cal * 4.19 J / cal = 7.7E4 J       agrees with value found above

You need to move a large refrigerator. It has a mass of 300 kg. You want to accelerate it at a rate of 3 m/s/s. What force must you apply?

Answers

Answer:

900 N

Explanation:

F = ma

  = 300 (3) = 900 N

He much current is needed to operate a radio with a power of 80 watts when a potential difference of 135v is applied across itl

Answers

Answer:

593 mAmps

Explanation:

Power = 80 watts =  VI

               80 = 135 I

                 80/135 = I =

As an ambulance siren passes and moves away from you, the sound waves'
frequency __________
and their amplitude ________

A. increases,
decreases
B. increases,
increases
C. decreases,
increases
D. decreases,
decreases

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Amplitude and frequency are two properties of sound waves that decreases as distance from source decrease.

Therefore, as the ambulance moves away,

frequency - decreasesamplitude - decreases

So, correct choice is D

If the same object was taken to each of the planets, where would it weigh the most and where would it weigh the least

Answers

Answer:

it way the most on jupiter and the least on mars

Explanation:

Question #3:

A sample of helium behaves as an ideal gas as it is heated at constant pressure from 293 K to 363 K. If 70 J of work is done by the gas during this process, what is the mass of the helium sample? The universal gas constant is 8.31451 J/mol · K. Answer in units of g.

Answers

For a sample of helium behaves as an ideal gas as it is heated at constant pressure from 293 K to 363 K, the mass of the helium sample  is mathematically given as

n= 0.0986 g

What is the mass of the helium sample?

Generally, the equation for the ideal gas  is mathematically given as

PV=nRT

Therefore

W = P*(V2-V1)

W=nR(T2- T1)

n = W / (R*(T2 - T1) )

n= 4g/mol ∙ 16 J / (8.3145J/molK ∙ (351K - 273K) )

n= 0.0986 g

In conclusion, the mass of the helium sample

n= 0.0986 g

Read more about mass

https://brainly.com/question/15959704

A golf club exerts an average force of 500N on a 0.1kg golf ball and the contact time is 0.01s.

What is the change in velocity of the golf ball?​

Answers

Answer:

[tex]50\; {\rm m\cdot s^{-1}}[/tex], assuming that the force on the golf ball was constant.

Explanation:

Assume that the force the golf club exerted on the golf ball a constant force of magnitude [tex]F[/tex]. Let [tex]\Delta t[/tex] denote the duration the club was in contact with the golf ball. The impulse of this force would be:

[tex]J = F\, \Delta t[/tex].

Let [tex]\Delta p[/tex] denote the change in the momentum of this golf ball. By the impulse-momentum theorem, this [tex]\Delta p\![/tex] would be equal to the impulse on the golf ball.

[tex]\Delta p = J = F\, \Delta t[/tex].

The momentum [tex]p[/tex] of this golf ball is the scalar product between the mass [tex]m[/tex] of this golf ball and the velocity [tex]v[/tex] of this golf ball. The mass of this golf ball stays the same. Thus, when the momentum of this golf ball changes by [tex]\Delta p[/tex], the velocity of this golf ball would change by [tex](\Delta p) / (m)[/tex].

The change in the velocity of this golf ball would thus be:

[tex]\begin{aligned}\Delta v &= \frac{\Delta p}{m} & \genfrac{}{}{0em}{}{(\text{change in momentum})}{}\\ &= \frac{J}{m} & \genfrac{}{}{0em}{}{(\text{impulse on the golf ball})}{}\\ &= \frac{F\, \Delta t}{m} \\ &= \frac{500\; {\rm N} \times 0.01\; {\rm s}}{0.1\; {\rm kg}} \\ &\approx 50\; {\rm m\cdot s^{-1}}\end{aligned}[/tex].

(Note that [tex]1\; {\rm N} = 1\; {\rm kg \cdot m^{2}\cdot s^{-2}}[/tex].)

Delusions of grandeur is the false belief that __________. a. one is being manipulated b. emphasizes self-importance c. emphasizes self-manipulation d. one is being harassed

Answers

The delusion of grandeur is a false belief that emphasizes self-importance. Option b is correct.

What are delusions?

Delusions are characterized as persistent, erroneous beliefs that contradict reality. A person in a delusional condition is unable to let go of their convictions, despite opposing facts.

Misinterpretation of circumstances frequently reinforces delusions. Many illusions are accompanied by some degree of paranoia.

One of the most prevalent is delusions of grandeur. It's when you imagine you have more power, riches, intelligence, or other great qualities than you actually do.

The delusion of grandeur is a false belief that emphasizes self-importance.

Hence option b is correct.

To learn more about the delusions refer to the link;

https://brainly.com/question/9382629

Answer:

B. emphasizes self-importance

Explanation:

got it right on edge 2022

When 20. joules of work are done in 4.0 seconds; what is the power developed?

A. 0.20 watt

B. 5.0 watts

C. 16 watts

D. 80. watts

Answers

to find:

the power developed when, 20 joules of work are done in 4.0 second.

solution:

power= workdone/ time

here workdone= 20 joules

time taken= 4.0s

so putting these values in the above formula, we get:

power= 20/4.0

=5.0 watts

answer= option b) 5.0 watts

[tex]\bold\blue{Formula : }[/tex]

[tex]\bold{Power = \frac{energy}{time} }[/tex]

[tex]\bold\blue{Given : }[/tex]

Joules of work = 20

work are done = 4.0 seconds

[tex]\bold\blue{ Solution : }[/tex]

[tex]\bold{Power = \frac{energy}{time} }[/tex]

[tex]\bold{Power = \frac{20}{4.0} }[/tex]

[tex] \bold{ Power = 5.0}[/tex]

So , B.) 5.0 watts is answer .

A particle moves in the xy plane in a circle centered on the origin. at a certain instant the velocity and acceleration of the particle are 6. 0 m/s and (3. 0 + 4. 0) m/s2. what are the x and y coordinates of the particle at this moment?

Answers

The x and y coordinates of the particle at this moment is (6x + 4.5y) m.

Position of the particle

The position of the particle at any instant is determined from the velocity and acceleration of the particle as shown below.

v² = u² + 2as

where;

v is the final velocity of the particleu is the initial velocitya is the acceleration of the particles is the position of the particle

v² = 0 + 2as

v² = 2as

s = v²/2a

X and y - coordinates of the particle

[tex]s_x = \frac{v^2}{2a_x} = \frac{6^2}{2(3)} = 6\ m\\\\s_y = \frac{v^2}{2a_y} = \frac{6^2}{2(4)} = 4.5 \ m\\\\s = (6 x \ + 4.5y)m[/tex]

Thus, the x and y coordinates of the particle at this moment is (6x + 4.5y) m.

Learn more about position of a particle here: https://brainly.com/question/2560794

why do we use dry cell in torch light ?

Answers

Answer:

The three reasons for this is because of high enrgy density, self-discharge, and small amount of energy.

Explanation:

These are why that happens.

Hope this helps!

-Justin

What is the volume of one rubber ball? round to the nearest hundredth of a centimeter. cm3 if the price of the rubber needed to produce a ball is $0.0045/cm3, what is the cost of producing one ball? round to the nearest cent. $ if the company sells a ball for $0.50, how much profit will it make on each ball? $

Answers

The volume of one rubber ball and the cost of producing one ball and the profit will it make on each ball will be 20.58 cm³, $0.09261, and $0.40739 respectively.

What exactly is geometry?

It is concerned with the geometry, region, and density of various 2D and 3D shapes.

The given data in the problem is;

r is the Rubber balls = 1.7 cm

V is the volume

C is the cost of production

P is the profit

The volume of the rubber ball is  found as;

[tex]\rm v= \frac{4}{3} \pi r^3 \\\\ \rm v= \frac{4}{3} \times 3.14 (4.913)^3 \\\\ \rm v= 20.58 cm^3[/tex]

If the price of the rubber required to make a ball is $0.0045/cm3, the ball's production cost will be $0.0045/cm3.

The cost of a ball is the multiplication of the cost of one ball and the selling price of the ball;

C = 0.0045 x 20.58

C = $0.09261

P is the profit gained and profit is the subtraction of the selling price and cost price.

P = S.P.-C.P.

P=0.5 - 0.09261

P = $0.40739

Hence the volume of one rubber ball and the cost of producing one ball and the profit will it make on each ball will be 20.58 cm³, $0.09261, and $0.40739 respectively.

To learn more about the geometry refer to the link;

brainly.com/question/7558603

Answer:  

1: C

2: C

3: A

Explanation: just did it

Sally and Suzy are moving into their first college dorm together. They are loading all their furniture onto a truck with a ramp that is 8 feet long.

How far is the back of the truck off the ground if the mecanical advantage of this ramp is 2?


A) .25 ft
B) 4 ft
C) 8 ft
D) 16 ft​

Answers

Answer:

B

Explanation:

Formula

Mechanical advantage = length of the ramp / height

Givens

Length of the ramp = 8

Mechanical advantage = 2

height = ?

Solution

2 = 8feet / height                                  Multiply both sides by height

2* height = 8 feet * height / height      Combine

2* height  = 8 feet                                 Divide by 2

2*height/2 = 8 feet/2                              

height = 4 feet.

An electron (me = 9.1 x 10-31 kg) traveling south at a constant speed of 5.0 x 106 m/s enters a
region where the downward component of earth's magnetic field is 3.5 x 10-5 T. What is the
magnitude and direction of the acceleration of the electron at this instant?

Answers

Answer:

F = Q V X B

V X B = south X downard = East - deflection is West

Since Q is negative the deflection = West

a = F / m = Q V B / m

a = 1.6E-19 * 5*E6 * 3.5E-5 / 9.1E-31

a = 1.6 * 5 * 3.5 / 9.1 * 10^13 m/s^2 = 3.1 * 10^13 m/s^2

A (1.03x10^2)-mA current is used to charge up a parallel plate capacitor. A large square piece of paper is placed between the plates and parallel to them so it sticks out on all sides. What is the value of the integral ∮B⃗ .ds⃗ around the perimeter of the paper? Express your result in T.m with three significant figures.

Answers

Since a 1.03 × 10² mA current is used to charge up the parallel plate capacitor and a large square piece of paper is placed between the plates and parallel to them so it sticks out on all sides, the value of ∫B.ds around the perimeter of the paper is 1.29 × 10⁻⁷ Tm

Ampere's Law

This shows the relationship between the magnetic field, B, the path of integration, ds and the current enclosed by the magnetic field, i.

Ampere's law is given mathematically as

∫B.ds = μ₀i where

B = magnetic field, ds = arc length of path of integration, μ₀ = permeability of free space = 4π × 10⁻⁷ Tm/A and i = current enclosed by the path of integration, ds.

Given that for the large square piece of paper, the current used to charge the capacitor is

i = 1.03 × 10² mA = 1.03 × 10² × 10⁻³ A = 1.03 × 10⁻¹ A and ds = path length around the perimeter of the paper

The value of ∫B.ds around the perimeter of the paper

Since ∫B.ds = μ₀i

Substituting the values of the variables into the equation, we have

∫B.ds = μ₀i

∫B.ds = 4π × 10⁻⁷ Tm/A × 1.03 × 10⁻¹ A

∫B.ds = 4.12π × 10⁻⁸ Tm

∫B.ds = 12.94 × 10⁻⁸ Tm

∫B.ds = 1.294 × 10⁻⁷ Tm

∫B.ds ≅ 1.29 × 10⁻⁷ Tm

So, the value of ∫B.ds around the perimeter of the paper is 1.29 × 10⁻⁷ Tm

Learn more about Ampere's law here:

https://brainly.com/question/17070619

A sound travels down a hallway that is 115 m long. Then it echoes and
returns back to the source. If the speed of sound is 350 m/s, how long
does it take in seconds) to hear the echo?

Answers

Answer:

0.66 s

Explanation:

∆x = v∆t → 2 × 115 = 350 ∆t → ∆t = 230/350 = 0.66 s

What happens when a mixture is separated
A) A substance is lost
B) A new substance is formed
C) The substances stay the same
D) The mass of the substances change

Answers

Answer:

the answer would be c

Explanation:

Which planet, other than earth, has visible water ice on it?.

Answers

Mercury has viable water and ice on it

use convention factors to convert
20kHz to Hz​

Answers

Answer:

20kHz = 20000Hz

Explanation:

The frequency in hertz (Hz) is equal to the frequency in kilohertz (kHz) times 1000

a material used by living things for growth and other life functions is a?

Answers

Answer:

I believe it wouled be Nutrients

Explanation:

hope this helps if not please let me know

If our planet was twice as far away how would the Earth’s orbit change?

Answers

Answer:

One of the indirect proofs that orbits change is actually in the growth of our own teeth when we were children. our teeth are some of the most basic, and primitive

parts of our bodies. They grow on a 9 day cycle, which was an ancient full moon to full moon cycle when the Earth and the Moon were a lot smaller, and closer together, and the co-orbital period was only 9 days, not the 29.5 days that it is currently.

So Given any two " Planets " that co-orbit a common gravitational center, the larger planet will grow larger far faster than the smaller planet, and the larger planet will accelerate the smaller planet to a higher orbit with a longer period, and decelerate itself to a lower orbit with a longer period, and the absolute value of the center to center distance will increase, and the orbital period will increase. The two orbs and their common gravitational center will remain co-linear through out the gradual growing and changing process.

This is an important process for the enlargement of the solar system as time passes, and an important process for larger galaxies as they attract and merge with smaller galaxies.

All of the planets grow larger at an accelerating rate, and thus systems spiral outward concentrating mass into larger and fewer galaxies, solar systems, and planet - moon systems.

Water vapor is an important greenhouse gas in Earth's atmosphere. The map here shows the average amount of water vapor in a column of atmosphere during one month in 2015.

Based on the data in the map where would you expect temperatures on Earth to be warmest?

• At higher altitudes
• Over the poles
• At the equator.
• Over landmasses​

Answers

Answer:

The answer in C- At the equator

Explanation:

just took the test and got it correct

Based on the data in the map, the temperatures on Earth to be warmest will be at equator. The third option is correct.

What is greenhouse gas?

The gases which get easily trapped inside the glasses and increase the temperature of the atmosphere causing the global warming level to increase overall.

Water vapor is an important greenhouse gas in Earth's atmosphere. The map here shows the average amount of water vapor in a column of atmosphere during one month in 2015.

Based on the data in the map, the temperatures on Earth to be warmest will be at equator.

Thus, third option is correct.

Learn more about greenhouse gas.

https://brainly.com/question/4509458

#SPJ2

a doctor measures the temperature of a patient to be 101 degrees . what is this temperature in kelvins

Answers

Answer:

the answer is 374.15 kelvins

friction causes kinetic energy to be converted into
A. Potential energy
B. Thermal energy
C.mechanical energy
D. Electrical energy
Which one is it pls help me

Answers

Answer:

Thermal Energy

Explanation:

When friction acts between two surfaces that are moving over each other, some kinetic energy is transformed into heat energy. Otherwise known as thermal energy.

Other Questions
Which of the following is very important while riding a bike?OA.un casqueO B.le stationnementO C.le pageOD.un billet Why did Maria and Julian Martinez demonstrate pottery making at expositions? How did it benefit the Pueblo community 1. What does the sentence we should not poke our nose into other's affair mean? i. We should not help others. ii. We should not irritate others. iii. We should not love others. iv. We should not interfare with other's works. When referring to a particular person which relevant pronoun should you use?A. ThatB. WhichC. WhoD. Then In the equation you wrote in part C, which is the independent value and which is the dependent value? ID: A8. Gold is reacted with chlorine gas according to the reaction 2 Au + 3Cl2 2 AuClz. Use the data in the tableto determine the percent yield of gold chloride.Mass of GoldMass of Chlorine Theoretical Yield Actual Yield39.4 g?35.2 g21.3 ga. 60.7%b. 54.1 %c. 58.1 %d. 51.4 %9. How many moles of Al would be produced from 20 moles of AlO3? Gold, silver, cooper, iron. Identity nouns One way in which psychologists are different from psychiatrists is that psychologists could not administer medication in the past. please select the best answer from the choices provided t f 6/Identify what make the following thesis statement weak : School lunches are vital to many students who may not get enough food at home, they provide students with more balance nutrition, and they are massively underfunded. A. it's merely a list of points. B. It's a neutral topic sentence that doesn't take a position. C. It's too broad. D. It can't reasonably be argued with help :(x is less than -3- The inequality translated in numerical form- The solution in interval notation Carlos took 1/4 hours to clean the kitchen. Then he took 5 3/8 hours to clean the den. How much time did Carlos take to clean the two rooms? I want to know more about my English class Karina lives in a single-parent family with her mother. Her mother works full time during the week and has another part-time job on the weekend but does not make enough money to cover all the family bills. Karina must also work a part-time job to help. Karina's family exemplifies howA. communication styles influence familyB. economics and education influence familyC. ethnic and cultural backgrounds influence familyD. genetics, health, and diet influence family 7. Are the given functions inverses? Why or whynot?y = (x - 2)2 + 4f-1(x) = +Vx 4 + 2 please help me with this question i will put an image Please give me the answer heath records the number of winners of three ring toss games. According to heaths experiments, what is the probability a player will win the game Qui est-ce? 2 ATTEMPTS LEFTChoose the family member that correctlycorresponds to each description.x 5.la fille de mon grand-preX 6.le fils de ma mreX 7.la fille de mon filsX 8.le fils de ma belle-mrePlease help me this is due today PLEASE HELP ASAP If you were to taking a loan out for a car. what loan is the best? Why were tanks developed for use on the battlefield?a. The technology for tanks was developed so that larger guns could be fired at enemy soldiers without the need for reinforcements. b. Tanks were needed along the frontline trenches of World War I because it had become impossible for either side to advance. c. Tanks were developed to carry large number of soldiers quickly to battlefields that were constantly changing locations. d. French engineers developed the tank as a way to protect soldiers of World War II from direct enemy attack