Two point charges of 9μC and 4μC are placed a distance of 4 m apart.

1) Calculate the magnitude of the force, in Newtons, on a positive 5μC charge at the midpoint between the two charges.
2) Find the point, measured in meters from the 9μC charge, between the two charges where the force on the 5μC charge is 0?

Answers

Answer 1

Hi there!

1)

Since the charge placed in the middle is positive, we know that the particle is being repelled.

The particle experiences a greater repelling force by the 9μC charge. We can use the equation for electric force:
[tex]F_E = \frac{kq_1q_2}{r^2}[/tex]

k = Coulomb's Constant

q₁, q₂: Charges (C)
r = distance between charges (m)

This is a VECTOR quantity, so we must subtract the forces since they point in opposite directions.

Force from 9μC particle:
[tex]F_E = \frac{k(.000005)(.000009)}{2^2} = .101\\\\[/tex]

Force from 4μC particle:
[tex]F_E = \frac{k(0.000005)(0.000004)}{2^2} = 0.0450[/tex]

Subtract:
[tex].101 - 0.0450 = \boxed{0.561 N}[/tex]

2)

We can find a position by setting the two equations equal to one another. (Both repelling forces must be EQUAL for the force = 0 N)

Let the distance between the 9μC and 5μC charge equal 'x', and the distance between the 4μC and 5μC charge equal '4 - x'.

[tex]\frac{k(0.000009)(0.000005)}{x^2} = \frac{k(0.000004)(0.000005)}{(4 - x)^2}[/tex]

Cancel out 'k' and the 5μC value.

[tex]\frac{0.000009}{x^2} = \frac{0.000004}{(4 - x)^2}[/tex]


Solve for 'x' using a graphing utility.

[tex]\boxed{x = 2.4 m}[/tex]


Related Questions

A proton is accelerated to one-tenth the velocity of light, and this velocity can be measured with a precision of 1%. What is the uncertainty in the position of this proton

Answers

The uncertainty in the position of the proton is 1.1 x 10⁻¹³ m.

Velocity of the proton

The velocity of the proton is calculated as follows;

[tex]v = \frac{1}{10} \times 3\times 10^8 \ m/s = 3 \times 10^7 \ m/s[/tex]

precision of the velocity, Δv = 0.01 x 3 x 10⁷ = 3 x 10⁵ m/s

Uncertainty in the position of the proton

The uncertainty in the position of the proton is calculated as follows;

[tex]\Delta xm\Delta v= \frac{h}{4\pi} \\\\\Delta x = \frac{h}{4\pi m\Delta v} \\\\\Delta x = \frac{6.67 \times 10^{-34} }{4\pi \times 1.67 \times 10^{-27} \times 3\times 10^5} \\\\\Delta x = 1.1 \times 10^{-13} \ m[/tex]

Thus, the uncertainty in the position of the proton is 1.1 x 10⁻¹³ m.

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A simple string light produces 10 J of light energy each second. What is
the efficiency of the light bulb if it uses up 200 J each second? Show work

A. 5%
B. 10%
C. 20%
D. 25%

Answers

In this situation, the useful energy output=10J, the total energy input=200J

Efficiency=useful energy output/total energy input*100%=10/200*100%=5%

Choice A is correct

What term is used to describe a specific metric that often determines the success or failure of a task?.

Answers

Output indicators measure the success or failure of a process

The diagram below shows a boat moving north in a river at 3m/s while the current in the river moves south at 1 m/s.

How will the boat be affected if it enters a part of the river where the current is moving south at 4 m/s?

Answers

Answer it will move slower:

Explanation: cause the force that’s opposite of it

A basketball and a bowling ball are relatively the same size or volume. Explain which ball is denser and why.

Answers

Answer:

The Bowling Ball is Denser.

Explanation:

If we consider both balls in terms of mass they are very different.  Size and volume can be the same though.

What makes the mass?  Think of what fills each of the balls.

A Basketball is filled with air, which weighs very little.

Meanwhile, a bowling ball is filled with coverstock, made up of plastic, urethane and resin.  These materials weigh considerably more than air!

Se dispara un proyectil con una velocidad de 50 m/s con un Angulo de 37° respecto a la horizontal. Calcular después de que tiempo se encontrará a 25m de la superficie por segunda vez

Answers

La posición vertical del proyectil es:

y = 50 m/s sen37° - 1/2 . 10 m/s² t²; sen37° ≈ 0,6

Omito las unidades:

y = 30 t - 5 t²;

Según el enunciado es y = 25

Luego 25 = 30 t - 5 t²; o bien t² - 6 t + 5 = 0

Es una ecuación de segundo grado en t, que resuelvo directamente:

t = 1 s, t = 5 s

Pasa por primera vez en 1 s (subiendo)

Pasa por segunda vez en 5 s (bajando)

The energy of an electromagnetic wave is related to its amplitude.

Answers

Answer:

True

Explanation:

The energy carried by a wave is proportional to its amplitude squared. The larger the strength of the electric and magnetic fields, the more work they can do and the greater the energy the electromagnetic wave carries. A wave's energy is proportional to its amplitude squared (E2 or B2).

5. How many years does the first 10 yards represent? What events are within the first 10 yards of the football field from the TODAY end zone? Explain what this means in terms of expansion of life on Earth.

Answers

Based on the length of a football field and the timeline of earth's history, the first 10 yards represents 460 million years.

Beginning from 460 million years ago, there was massive explosion and expansion of life on earth.

What is a timeline of earth's history?

A timeline of earth's history shows the events that occurred from the beginning when earth was formed 4.6 billion years ago until today.

In this activity, a football field is used to represent the timeline of earth's history.

Each end of the football field represents the two end zones, Earth's beginning and TODAY end zone.

A football field is 100 yards long.The earth is 4,600,000,000 years old.Each yard equals 46,000,000 years

Thus, the first 10 yards equals = 46,000,000 × 10 The The first 10 yards = 460,000,000 years.

From the TODAY end zone, the the first 10 yards = 460,000,000 years.

460,000,000 years ago marked the time from the appearance of the first plants until humans and all life on earth as it is today.

This, meant that within this period, there was massive explosion and expansion of life on earth.

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1. What part (or parts) of this system store potential energy?
2. What part (or parts) of this system use kinetic energy?

Answers

Answer:

when you crank you make kinetic energy and then the kinetic energy makes potential energy.

Explanation:

hope it will help you have a great day bye and Mark brainlist if the answer is correct

[tex]kai6417[/tex]

#carry on learning

What behavior of light is evidence for a wave model of light.

Answers

Explanation:

the intersection behavior

A copper vessel contains 200 gram of water at 24°C. 112 gram of water at 42° C is added, the resultant temperature of water is 30°C. Calculate the thermal capacity of the calorimeter.​

Answers

The heat capacity depends is the heat absorbed by the calorimeter as

the temperature changes.

Response:

The thermal capacity of the calorimeter is 100.416 J·K⁻¹

What the thermal capacity and how can it be calculated?

Mass of the vessel. m₁ = 200 gram

Temperature of the water, T₁  = 24°C

Mass of the warm water, m₂ = 112 grams

Temperature of the warm water, T₂ = 42°C

Resultant temperature of the water, T₃ = 30°C

The heat capacity of the water = 4.184 J·Kg⁻¹·K⁻¹

Heat lost by the warm water = Heat gained by the cold water + The heat gained by the calorimeter

Let C represent the thermal capacity of the calorimeter

We have;

Change in heat, ΔH = m·c·ΔT

Therefore;

112 × 4.184 × (42 - 30) = 200 × 4.184 × (30 - 24) + C×(30 - 24)

5623.296 = 5020.8 + 6·C

6·C = 5623.296 - 5020.8 = 602.496

[tex]The \ heat \ capacity \ of \ the \ calorimeter, \ C = \dfrac{602.496}{6} = \mathbf{ 100.416}[/tex]

The thermal capacity of the calorimeter, C = 100.416 J·K⁻¹

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A kid jumping on a trampoline reaches a height of 0.925 m. What was his speed when he left the trampoline?

Answers

Answer:

4.26 m/s

Explanation:

h = 0.925

v = 0

u = ?

v = u^2 - 2gh

0 = u^2 - 2gh

u = sqrt 2gh

= sqrt 2*9.8*0.925

= 4.258

= 4.26

Which two personality traits are categorized as Energy, which shows where your mental energy is typically directed?

Answers

The personality traits extraversion and openness are are categorized as Energy because their mental energy is typically directed action and creativity.

What are personality traits?

Personality traits refers to characters and attitudes that describes an individual.

Many researchers believe there are five key personality traits:

extraversionagreeableness,openness,conscientiousness, andneuroticism.

The personality traits extraversion and openness are are categorized as Energy because their mental energy is typically directed action and creativity.

Learn more about personality traits at: https://brainly.com/question/15462901

A mass on a spring is first placed on a table and set in SHM and then held vertically and set in SHM. What variable/s would change between the two scenarios?

Answers

The variable that changes is the period of the motion.

What is simple harmonic motion?

The term simple harmonic motion refers to a regular repeating motion. The acceleration of the SHM is always directed towards the center. The spring is an example of a system undergoing simple harmonic motion.

From the description in the question, the variable that changes is the period of the motion.

Learn more about simple harmonic motion: https://brainly.com/question/17315536

Elena Walks at a speed of 1.4m s^-1How long will it take her to travel 500mhow far will she travel if she walks for 2 hours? give your answer in units of km.​

Answers

1) v=d/t
1.4=500/d
d=500/1.4
= 357.14 seconds

2) 2x60x60= 7200 seconds
v=d/t
1.4=d/7200
d=1.4x7200
= 10080 m

10080/1000= 10.08km

[tex]\bold{\huge{\pink{\underline{ Solution }}}}[/tex]

Given :-

Elena walks at a speed of 1.4m/s

To Find :-

We have to find the time taken by Elena to cover a distance of 500 mAnd, The distance covered by Elena in 2 hours

Concept Used :-

Here, we will use the concept of speed, distance and time

Speed is the distance per unit time Distance is measurement of length between two or more point of reference Time is the distance by speed

Let's Begin :-

We have given two conditions here

How long it will take Elena to cover distance of 500 mHow far she travels if she walks for 2 hours

Condition 1 :-

We know that,

[tex]\bold{\pink{ Speed = }}{\bold{\pink{\dfrac{ Distance }{Time}}}}[/tex]

Speed = 1.4m/sDistance = 500 m

Subsitute the required values in the above formula :-

[tex]\sf{1.4 = }{\sf{\dfrac{ 500 }{t}}}[/tex]

[tex]\sf{ t = }{\sf{\dfrac{ 500 }{1 .4}}}[/tex]

[tex]\sf{ t = }{\sf{\dfrac{ 500 }{1.4}}}[/tex]

[tex]\bold{\boxed{\red{ t = 357.14 \:sec }}}[/tex]

Hence, Time taken by Elena to cover distance of 500 m is 357.14 sec

Condition 2 :-

We know that,

[tex]\bold{\pink{ Speed = }}{\bold{\pink{\dfrac{ Distance }{Time}}}}[/tex]

Speed = 1.4m/s or 5.04km/h

[ Speed = 1.4 * 60 × 60/1000

Speed = 1.4 × 18/5 = 5.04 km/h }

Time = 2 hours

Subsitute the required values in the above formula :-

[tex]\sf{ 5.04 = }{\sf{\dfrac{ S(Distance)}{2}}}[/tex]

[tex]\sf{ S = 5.04 }{\sf{\times{ 2}}}[/tex]

[tex]\bold{\tt{\boxed{\red{ S = 10.08 km }}}}[/tex]

Hence, The distance covered by Elena in 2 hours is 10.08 km.

Which statement best describes scientific theories? (2 points) Group of answer choices Scientific theories are based on facts that describe natural events. Scientific theories describe natural events but do not explain them. Scientific theories are facts based on observations of events in the natural world. Scientific theories attempt to explain how events occur in the natural world.

Answers

Answer:

Scientific theories attempt to explain how events occur in the natural world.

Answer:

The answer is option  A. Scientific theories attempt to explain an entire group of related phenomena.

Explanation:

I got it right on the test

Hope it helps!

WHICH ONE IS CORRECT???

Answers

Answer:

A

Explanation:

Answer:

According to Pascals law, THE PRESSURE EXERTED TO A CONFINED LIQUID IS TRANSMITTED EQUALLY AND UNDIMINISHED IN ALL DIRECTIONS THROUGHOUT THE MASS OF THE LIQUID--Blaise Pascal

so the pressure at A2 must be equal to A1

buy however the F1 will be less than F2 since:

P1=F1/A1 and P2=F2/F1

P1=P2 according to Pascal

so, F1/A1=F2/A2

with less amount of force at P1 THE force gets multiplied.

Therefore it's obvious that option A and B is wrong. I can't see option C properly.

but, you are going to have this option.

C.F1>F2

so the option with F1>F2 is correct

PLEASE MARK BRAINLIEST

if kinetic energy of a body of mass 10 kg is 2000 J find velocity ​

Answers

Answer:

I guess answer is 10m/s.

Explanation:

Kinetic Energy=1/2 mv^2

or,2000J=1/2×10kg×v^2

or2000J=5kg.v^2

or,2000J/5kg=v^2

or,100J/kg=v^2

or,v=10m/s

The atmospheric pressure is 1atm what does it mean?​

Answers

Answer:

A unit of pressure equal to the air pressure at sea levels is called 1atm. • 1atm = 760mmHg at 0°Celsius under the standard gravitational force or you can say standard gravity. • 1atm is also equal to 14.7 pounds per sq. Inch ( 1.01325 × 105 pascals )

Explanation:

Please Mark as BRAINLIEST

Which of the following statements is NOT true about good communication? A. Good communication makes it difficult to express wants and needs. B. Good communication helps prevent misunderstandings. C. Good communication allows for expression. D. Good communication builds healthy relationships. Please select the best answer from the choices provided. A B C D.

Answers

Communication is the act of conveying information from one person to another. .'Good communication makes it difficult to express wants and needs.'These statement is not true about good communication.

What is communication?

Communication is the act of conveying information from one location, person, or organization to another. There is a sender, a message, and a recipient for every message.

Communication, while it may appear to be a simple notion, is actually a very complex topic. The message's path from sender to the destination might be influenced by a multitude of circumstances.

Hence the option 'A' is right. 'Good communication makes it difficult to express wants and needs this statement is not true about good communication.

To learn more about communication refer to the link;

https://brainly.com/question/18100115

the answer is A

Explanation : took the quiz on edge 2020

The Magnetic Field in a current carrying wire comes due to flow of electricity . But does the field generate or comes in simulataniously with the flow. if simulataniously then how?

Answers

Answer:

Electric current produces a magnetic field. This magnetic field can be visualized as a pattern of circular field lines surrounding a wire. ... Magnetic Field Generated by Current: (a) Compasses placed near a long straight current-carrying wire indicate that field lines form circular loops centered on the wire.

Explanation:

[tex]\large \bf\gray\dagger\pink{\frak{Solution}\curvearrowright}[/tex]

The feild never generates magnetic field on it's on. It simulataniously because when the flow of current stops , it loses it's magnetism and then there will no magnetism thus no magnetic feild.

Which of the following is an example of a behavioral adaptation?

Answers

Answer:

b. migration

A migration can be defined as the changes that occur in the behavior, structure, physiology of the organism so as to allow it to survive in unfavorable environmental conditions. Behavioral adaptation can be defined as the changes that occur in an organism's behavior which affects it's actions and helps it to survive like choice of mating partner, calling the mates for copulation and migration to different location all are the examples of the behavioral adaptations

Explanation: Behavioral adaptations are the things organisms do to survive. For example, bird calls and migration are behavioral adaptations. Adaptations are the result of evolution. Evolution is a change in a species over long periods of time.

Which plant tissue makes up the thinnest layer?

Answers

Answer: Epidermis tissue.

Explanation: Layer of cells covering surface of entire plant, what it does is Acts as a barrier to fungi and other microorganisms and pathogens. the thin layer because it Allow for light to pass through, thereby allowing for photosynthesis in the tissues below

Please help

How would u define energy

Answers

Energy is being produced in two different ways.

1st. when you run, exercise, etc allot of energy is being produced from your body in form of heat.

2nd. energy which is in form of coal, electricity, gas etc.

Definition: the capacity for doing work. It may exist in potential, kinetic, thermal, electrical, chemical, nuclear, or other various forms. There are, moreover, heat and work—i.e., energy in the process of transfer from one body to another.

hope this helps you

have a great day :)

What would cause a beam of light to increase in wavelength and bend away from the normal? A) Passing from a round glass into a square glass B) Passing from air into glass C) Passing from a water faucet into a bathtub of water D) Passing from glass into air brainly

Answers

Answer:

i think it A sorry if i get it wrong but it should be A

Explanation:

Worth 25 points on my exam
(will give brainliest btw)

A squirrel runs out in front of a car moving at +20m/s. The driver slams on the brakes and begins decreasing at -8m/s^2. Determine the fate of the squirrel if it was initially 26 meters from the car when braking began.

Answers

Initial velocity=20m/sFinal velocity=0m/s(As the car stops)Acceleration=-8m/s^2Distance=s=26m

We need to verify the thrid equation of kinematics here

[tex]\\ \tt\longmapsto v^2-u^2=2as[/tex]

[tex]\\ \tt\longmapsto 20^2=2(-8)s[/tex]

[tex]\\ \tt\longmapsto 400=-16s[/tex]

[tex]\\ \tt\longmapsto s=|400/-16|[/tex]

[tex]\\ \tt\longmapsto s=25m[/tex]

The squirrel has a good luck ,Car gets stopped just 1m away from the squirrel .

Explanation:

According to the Question

A squirrel runs out in front of a car moving at +20m/s ( initial speed u) . The driver slams on the brakes and begins decreasing at -8m/ ( here the acceleration is acting in opposite directions of motion a )

When Squirrel was 26 metres ( Distance from the car initially )

Using Kinematic Equation

= + 2as

On substituting the value we obtain

➥ 0² = 20² + 2 × -8 × s

➥ 0 = 400 - 16 × s

➥ -400 = -16 × s

➥ 400/16 = s

➥ 25 = s

So, the squirrel is 25 metres from the car .

PLEASE HELP THE TEST IS DUE AT 11:59PM
24 p and 25 e is a negative atom because it has one electron and became

Answers

Answer:

and became negativity charged

Explanation:

this is because it has an extra electron and does not maintain extet or duplet structure

A block with a mass of 55 kg is pulled with a force of 220 N. Assuming a frictionless surface, what will be the acceleration of the block?
OA
0.25 m/s2
о
B
4.0 m/s2
O.
9.8 m/s2
Oo. 22 m/s2
2022 huminate Education

PLS HELP HELO ME!!!

Answers

Answer:

B) 4 m/s²

Explanation:

Since the surface it's kept on is frictionless, the net external force acting on the block will be 220 N.Mass of the block = 55 kg

[tex] \boxed{ \sf{ F= m \times a}}[/tex]

Here,

F is the net external force applied to an object,m is the mass of that object, anda is the acceleration it acquires.

Substituting the respective values for F and m:

==> 220 = 55 × a

==> 220 = 55 × a

dividing the equation by 55:

==> 4 = a

Therefore, an object of 55 kg when pulled across a frictionless surface by a force of 220 N accelerates at 4 (m/s)/s

What simple machine would you use to chop down a tree?

Answers

Explanation:

i will use chainsaw to cut a tree and even if that doesn't work I will use axe to make my work easy.

hope this helps you

please mark me brainliest

have a great day :)

An object is dropped from a tower 128 m high. a. What is the speed of the object that falls freely from rest for a distance of 128 m?

Answers

The speed of the object falling freely from rest for the given distance is 50.09m/s.

Given the data in the question:

Hight of tower; [tex]h = 128m[/tex]Since object is initially at rest, initial velocity; [tex]u = 0[/tex]

 

Free Fall Motion

A free fall is simply any motion of a body where gravity is the sole influence.

From the third equation of motion;

[tex]v^2 = u^2 + 2gh[/tex]

Where v is final velocity, u is initial velocity, h is height and g is acceleration due to gravity ( [tex]g = 9.8m/s^2[/tex] ).

To determine the speed of the falling object, we input our values into the expression.

[tex]v^2 = u^2 + 2gh\\\\v^2 = (0)^2 + [ 2 * 9.8m/s^2 * 128m ]\\\\v^2 = 2 * 9.8m/s^2 * 128m\\\\v^2 = 2508.8m^2/s^2\\\\v = \sqrt{2508.8m^2/s^2} \\\\v = 50.09m/s[/tex]

Therefore, the speed of the object falling freely from rest for the given distance is 50.09m/s.

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