A particle with charge q on the negative x axis and a second particle with charge 2q on the positive x axis are each a distance d from the origin. Where should a third particle with charge 3q be placed so that the magnitude of the electric field at the origin is zero? (Use any variable or symbol stated above as necessary.)

Answers

Answer 1

Answer:

The charge 3q must be placed at a distance of 1.73d away from the origin.

Explanation:

The electric field at the origin due to q at distance, d from the origin is E = q/4πε₀d².

The electric field at the origin due to 2q at distance, d from the origin is E' = -2q/4πε₀d². (It is negative since it its directed towards the negative x-axis)

Now, the net electric field at the origin due to both charges is thus E" = E + E' = q/4πε₀d² + (-2q/4πε₀d²) = q/4πε₀d² - 2q/4πε₀d² = -q/4πε₀d².

The electric field due to 3q at a distance x from the origin is E₁ = 3q/4πε₀x².

Now, the net electric field E' must cancel out E₁ so that the electric field at the origin is zero.

So, E' + E₁ = 0

E' = -E₁

-q/4πε₀d² = -3q/4πε₀x²

1/d² = 3/x²

taking inverse of both sides, we have

x²/3 = d²

multiplying both sides by 3, we have

x² = 3d²

taking square root of both sides, we have

x = (√3)d

x = ±1.73d

So, the charge 3q must be placed at a distance of 1.73d away from the origin.


Related Questions

A woman standing on the ground watches an airplane fly by a mountain on a clear summer day. Her reference point for the moving plane would be:

a. There is no reference point
b. The ground
c. The mountain
d. A person in the plane

Answers

D I THINK Hope I helped hav ea good day anjajsgbsnsba

I need help ASAPP
Thanks+ BRAINLIST only for correct answer for these questions.

Which among the following forms of electromagnetic waves has the highest frequency range?
O Microwave
O Radio waves
O X-ray
O Ultraviolet

Radio waves carry information from a broadcasting station to your radio or television.
-visible light
- sound
-X -ray
- gamma ray

Answers

Answer: For the first part the answer is Radio Waves and the second part’s answer is gamma ray.

(i) 10 m (ii) 20 m (iii) 40 m (iv) 80 m

(c) The maximum potential energy of the object if its mass is 200g 1 mark

(i) 100 J (ii) 120 J (iii) 160 j (iv) 200 J

(d) In the given graph the total mechanical energy will be 1 mark

(i) Same (ii) increases (iii) decreases (iv) will be zero.

(e) In the given graph the kinetic energy 1 mark

(i) Same (ii) increases (iii) decreases (iv) increases then decreases.​

Answers

Answer:

20m

420=80m

100

increases

increases then decreases

which of these statements describe friction

Answers

I believe the second one friction resists motion hope that helped :)

A boy is running at -8 m/s and a girl running at -2 m/s. Who is running faster? How do you know?

Answers

Answer:

the girl is running faster because -2 is greater than -8

Explanation:

Which is NOT an example of unbalanced forces acting on an object


A.an acorn falling from a tree

B.a car traveling straight down a road at 40km/h

C.a motorcycle changing speed from 20km/h to 35km/h

D.a truck slowing down as it approaches a red light

Answers

Answer:

C. a motorcycle changing speed from 20km/h to 35km/h

Explanation:

The choice not showing unbalanced forces acting on the object is a motorcycle changing speed from 20km/h to 35km/h.

This change in velocity shows that the body is accelerating during the time interval.

When a body is accelerating, it is changing it's motion and this implies that some unbalanced forces are acting in the body. Unbalanced body changes the state of motion of a body from rest to acceleration or deceleration as the case may be.  

Why is NEWTON'S First Law of Motion often called the LAW OF INERTIA?

Answers

Answer:

According to newtons first law of motion an object remains in its state of rest or motion in a straight line unless an external unbalanced forces acts upon it. This is the reason why Newtons first law of motion is often called the LAW OF INERTIA

HURRY PLEASE!!

What are dichotomous keys used for?

Science

Answers

Answer:

Scientific tool used to identify organisms

Explanation:

Dichotomous keys consist of a series of statements with two choices in each step that will lead users to the correct identification.

A roller coaster begins at rest 120 m above the ground, as
shown. Assume no friction from the wheels and air, and that no energy is lost to heat, sound, and so on. The radius of the loop is 40 m. Find the speed of the roller coaster at points E and F.
Note:- Use g= 10 m/s2.

Answers

Answer:

B= 34.6 m/s

C= 49 m/s

D= 28.3 m/s

Which of the following agricultural advancements have had unforeseen adverse effects?

synthetic fertilizers wiping out nearby crops
irrigation causing damaging floods
hybrid plants causing cancer to consumers
use of pesticides increasing insect resistance

Answers

Answer:

use of pesticides increasing insect resistance

Explanation:

Pesticides are the chemicals used to kill or stop the growth of insects or pests in crops and plants.

Pesticides are used from a very long time and repeated use of same pesticide allowed insects to get use to of it and evolve themselves in a way that  they become resistant to these pesticide, so pesticide do not have any effect on insects.

Hence, the correct answer is "use of pesticides increasing insect resistance".

Answer:

use of pesticides increasing insect resistance

Explanation:

Why am i tall?I nee to know.

Answers

because you’re tall.
explanation:

Answer:

If your parents are tall there's a big change you will be too, if your parents are short you'll be short. If you have a tall dad and a short mom you'll be in the middle of short and tall.

Explanation:

;)

In Florida, most of the rocks that are underground are a type of soft, white rock called limestone. If limestone is underwater for a long period of time, it begins to dissolve. Which of these processes most likely causes this change?
A. chemical weathering
B. erosion
C. deposition
D. physical weathering

Answers

D. Physical weathering

In Florida, most of the rocks that are underground are a type of soft, white rock called limestone. Long-term submergence in water causes limestone to disintegrate. These processes most likely causes this change is called Physical weathering. Hence, Option D is the correct answer.

What is Physical weathering?

Physical weathering is also known as mechanical weathering. It is the weakening of rocks followed by the disintegration due to the physical or mechanical forces including the actions on the rocks by the abrasion, frost chattering, temperature fluctuations and the salt crystal growth. Eventually, after many cooling and heating events, the rocks cracks and break into smaller pieces.

This same mechanical process applies when water freezes and thaws in the cracks of a rock.  The chemical composition of the rock, however, remains the same in the process. In Florida, most of the rocks that are underground are a type of soft, white rock called limestone. Long-term submergence in water causes limestone to disintegrate.

These processes most likely causes this change is called Physical weathering. Hence, Option D is the correct answer.

To know more about limestone,

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What is the the outermon shell with elections!

Answers

Answer:

Valence shell

Explanation:

The valence shell contains valence electrons

A man ice skating in the skating rink at Campus Martius in downtown Detroit, has a mass of 75 kg and an acceleration of 4.5 m/s2 (without friction). How much force is the man exerting?

Answers

Answer:

337.5 N.

Explanation:

Force is equal to the law: m.a

where m: mass, a: acceleration

difference between input work and output work with table​

Answers

Answer:

Explanation:

Input work is the work done on a machine as the input force acts through the input distance. ... Output work is the work done by a machine as the output force acts through the output distance. The machine does to the object to increase the output distance.

A 3.5 kW drill transfers 5 000 kJ of kinetic energy during 15 seconds of use. What is the percentage efficiency of the drill?

Answers

Answer:

1.04%

Explanation:

Given that,

The power of drill = 3.5 kW = 3500 W

Transferred kinetic energy = 5000 kJ during 15 seconds of use.

We need to find the percentage efficiency of the drill. It can be given by :

[tex]\eta=\dfrac{P_o}{P_i}\times 100[/tex]

Where

Po and Pi are output and input powers.

[tex]P_o=\dfrac{5000\times 10^3}{15}\\\\=3.34\times 10^5\ W[/tex]

So,

[tex]\eta=\dfrac{3500}{3.34\times10^{5}}\times100\\\\=1.04\%[/tex]

So, the percentage efficiency of the drill is 1.04%.

A 30 kg child is in an elevator accelerating down at a rate of -5 m/s2.
a. Calculate the force of gravity on the child.

Answers

Answer:

The force is - 150 N

Explanation:

F = 30 • - 5 = - 150

what is the difference between a meteor and a meteorite?

1. Meteors are larger than meteorites
2. Meteors come from the Kuiper belt and meteorites originate in the asteroid belt.
3. Meteors are more like comets than meteorites
4. a meteorite is a meteor that impacted the earth.


please help.​

Answers

Answer:

meteorites, meteors are objects that enter Earth's atmosphere from space. But meteors—which are typically pieces of comet dust no larger than a grain of rice—burn up before reaching the ground. ... The term “meteorite” refers only to those bodies that survive the trip through the atmosphere and reach Earth's surface. I believe this is it

A power plant has two types of transformers. The first type of transformer triples voltage and the second type of transformer reduces voltage by half. If both transformers have the same number of primary turns, how many secondary turns does the first type of transformer have?


a. 3/2 of the secondary turns in the second type of transformer

b. 1/6 of the secondary turns in the second type of transformer

c. 2/3 of the secondary turns in the second type of transformer

d. 6 times the secondary turns in the second type of transformer

Answers

Answer:

d . 6 times the secondary turns in the second type of transformer

Explanation:

In transformer , voltage is increased or decreased according to ratio of no of turns in secondary to no of turns in primary coil . The relation is as follows

V₂ / V₁ = n₂/n₁

n₁ and n₂ are no of turns in primary and secondary coil and V₁ and V₂ are voltage in primary and secondary coil.

for first type , Let no of turn in primary = n and no of turn in secondary = n₁

V₂ / V₁ = 3

so

n₁/n  = 3

n = n₁ /3

n₁ = 3n

For second type , let no of turn in secondary = n₂

V₂ / V₁ = .5

n₂/n = .5

n₂ = .5n

n₂ / n₁ = .5n / 3n

n₂ / n₁ = 1 / 6

n₁ = 6n₂

option d is correct .



2. A science book is being pushed across a table. Can the book have a constant speed and a
changing velocity? Explain.

Answers

yes, it can have both cuz of the book is pushed straight it has a constant speed moving forward and if the book curves then it is changing velocity

In a series circuit, the current is _______
at every point around the circuit. Which of the following completes the sentence?

equal

different

Answers

Question:

In a series circuit, the current is _______

at every point around the circuit. Which of the following completes the sentence?

Answer:

In a series circuit, the current is equal at every point around the circuit.

#CARRYONLEARNING #STUDYWELL

Answer:

The option that completes the sentence is;

Equal

Explanation:

A series circuit is a circuit arrangement whereby the components of the circuit are connected in a single chain by joining them end to end, thereby the current flows round the circuit through the singular path of the interconnected component in the circuit and therefore, the current which flows through each component as it flows round circuit, is equal at all points in the circuit.

Therefore, we have that in a series circuit, the current is equal at every point around the circuit.

10)A car is moving from rest and attained a velocity of 80 m/s. Calculate the
acceleration of the car after 5 s?

Answers

Explanation:

the velocity graph of a ball mass 20mg moving along a straight line

16m/s^2

Explanation:

initial velocity (u) =0

final velocity (v) =80

acceleration =?

Now,

acceleration = (v-u)/t

=(80-0)/5

= 80/5

= 16m /s^2

A force of 50N is applied to a 6 kg object. What is the acceleration of the object?

Answers

Answer:

Should be 8.333 m/s^2

Explanation:

50/6 = 8.333

While driving his sports car at 20.0 m/s through a residential neighborhood, Royston
comes up behind a slow-moving grandma and decides to pass her on the left. If
Royston can accelerate at 6.00 m/s2, how long will it take for him to reach a velocity of
30.0 m/s?

Answers

Answer:

1.67s

Explanation:

Given parameters:

Initial velocity  =  20m/s

Acceleration  = 6m/s²

Final velocity  = 30m/s

Unknown:

Time taken  = ?

Solution:

Acceleration is the rate of change of velocity with time. It is mathematically expressed as;

 Acceleration = [tex]\frac{v - u }{t}[/tex]  

v is the final velocity

u is the initial velocity

 t is the time taken

            6  =[tex]\frac{30 - 20}{t}[/tex]  

            6  = [tex]\frac{10}{t}[/tex]  

              10  = 6t

              t  = 1.67s

Do any of the atom diagrams below represent atoms of the same element?



Yes, all the atoms are the same element.

Yes, atom A and atom C are the same element.

Yes, atom A and atom B are the same element.

No, they are all different elements.

Answers

Atom A and atom C are the same element.

what happens to the current in a circuit if the voltage applied is quadrupled and the resistance is cut in half?

Answers

Answer:

yhnjienfjknijeanfijawenkwamfjkamenkgtama4eikoatgjj

Explanation:

ga4tgaew4gtaegae4gaegae5tatgaeata54aetgaetg

Which part of the electromagnetic spectrum is typically used to make images based on the temperatures of objects?

X-rays
radio waves
infrared light
visible light

Answers

Answer:

Which part of the electromagnetic spectrum is typically used to make images based on the temperatures of objects?

X-rays

radio waves

infrared light<<<----- CORRECT

visible light

Explanation:

Edge 2021

Infrared light is typically used to make images based on the temperatures of objects.

What is meant by electromagnetic spectrum?

The range of all EM radiation arranged from high to low frequency (short to long wavelength) according to their frequency or wavelength. is known as the electromagnetic spectrum (EM).

Here,

Similar to visible light, X-rays are a type of electromagnetic radiation. X-rays have a higher energy than light, on the other hand, and can penetrate most materials, including the human body.

Images of inside body tissues and structures are produced using medical x-rays.

Electromagnetic energy in the infrared region of the spectrum can be seen by them. There is a relationship between an object's temperature and the electromagnetic radiation it releases since infrared radiation is strongly related to object temperature.

Hence,

Infrared light is typically used to make images based on the temperatures of objects.

To learn more about electromagnetic spectrum, click:

https://brainly.com/question/15576247

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Which of the following is a measurement of velocity?

A)16 m east
B) 55 m/h south
C) 25 m/s2
D) 60 km/h

Answers

Answer:

B) 55 m/h south

Explanation:

Velocity is the rate of displacement per unit of time.

It is mathematically expressed as:

   Velocity  = [tex]\frac{displacement}{time}[/tex]  

Displacement is the distance covered by a body in a specific direction.

Velocity is different from speed in that it specifies the direction of a body as it travels.

Therefore, we say, velocity is a scalar quantity.

When we are giving velocity values, the unit is expressed with the direction also delineated.

From the given choices, the unit with the south direction and meter per hour is obviously correct.

Which type of energy is water held back by a dam?

Answers

Answer:    hydroelectric dams

Explanation: Enormous energy is stored in water held back by hydroelectric dams. The energy is transformed into (a form of kinetic energy) as it falls across the dam. The falling water strikes the blades of a turbine and makes them spin, and the then turns the shaft of a generator.

The answer is hydroelectric dams because Enormous energy is stored in water held back by hydroelectric dams. The energy is transformed into (a form of kinetic energy) as it falls across the dam.

Explanation: Please mark me as brainliest!

The population in the United States in 2015 was 321 million people. It is projected to increase to 438 million people by the year 2050.
If projections are true, the US population will increase
% from 2015 to 2050.

Answers

Answer:

Haven't done this but I think it will increase by 73.29% not too anyone correct me if I'm worng

Answer:

C) 20%

Explanation:

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