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

what voltage produces a current of 100 amps with a resistance of 50 ohms

Answers

[tex]\bf{ \underline{Given:- }}[/tex]

[tex] \sf• \: Current \: (I) = 100 \: Amps.[/tex]

[tex] \sf• \: Resistance \: (R) = 50 \: ohms[/tex]

[tex] \\ [/tex]

[tex]\bf{ \underline{To \:  Find:- }}[/tex]

[tex] \sf• \: Voltage \: (V)[/tex]

[tex] \\ [/tex]

[tex] \huge\bf{ \underline{Solution:- }}[/tex]

[tex] \bf \red{ \bigstar{ \: The \: formula \: of \: Voltage \: (V) = IR}}[/tex]

[tex] \rightarrow \sf V = 100 \times 50[/tex]

[tex] \rightarrow \sf V = 5000[/tex]

[tex] \\ [/tex]

[tex] \bf \purple{Therefore, \: Volatage \: is \: 5000 \: v.}[/tex]

Wave A is being decreased in temperature, and Wave B is moving from a liquid to a gas medium.

Which statement can be made about both waves?


They will speed up.

They will increase the density of their medium.

They will slow down.

They will decrease the density of their medium.

Answers

Answer:b

Explanation:

Answer:

B

Explanation:

edg

A 2 cm object is 10 cm from a convex lens that has a focal length of 4.4 cm. The image is 8 cm from the lens.

The height of the image, to the tenths place, is
cm.

Answers

Answer:

-1.6

Explanation:

e2021

The Height of an Image for a Convex Mirror is calculated by using magnification equation

m = h(i) / h(o)  = − d(i) / d(o) ,where  

the magnification index of the mirror, m

the height of the object, h(o)

the height of the image, h(i)

the distance between the object and the mirror, d(o)

the distance between the image and the mirror, d(i)

h(i)/ 2 = -8 / 10

h(i) = -1.6 cm.

What is convex mirror ?

"Convex Mirror is a curved mirror where the reflective surface bulges out towards the light source. This bulging out surface reflect light outwards and are not used to focus light."

What is magnification equation ?

"The formula for magnification is m=h(i)/h(o)=-d(i)/d(o). m is the total magnification; h(i) is the height of the image; h(o) is the height of an object; d(i) is the distance from the lens to the in focus projected image; d(o) is the distance of the object to the lens. The negative sign represents that the image is inverted."

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name the universal force of attraction that exists between masses ​

Answers

Answer:

gravity

Explanation:

Answer: gravity

Explanation: Newton's revolutionary idea was that gravity is universal - ALL objects attract in proportion to the product of their masses. Gravity is universal.

If an engine can produce 670 J of energy in 1 min, how many watts can it output?

Answers

Answer:

11.2Watts

Explanation:

Given parameters:

Energy produced by the engine  = 670J

Time taken  = 1min  = 60s

Unknown:

Number of watts it can output  = ?

Solution:

This problem entails finding the power of the engine.

Power is the rate at which work is being done.

So;

      Power  = [tex]\frac{Work done }{time}[/tex]  

       Power  = [tex]\frac{670}{60}[/tex]    = 11.2Watts

In the figure shown, point B is called a
a. crest
Oa.
O c. diffraction
Ob.compression
d. trough

Answers

Answer:

trough

Explanation:

It is the lowest point of the wave

Which object has a stronger
gravitational pull to the Earth,
a bicycle or an elephant?

Answers

I think a elephant. I’m not sure

Is a violin and battery potential energy?

Answers

Explanation:  

In physics, potential energy is the energy held by an object because of its position relative to other objects, stresses within itself, its electric charge, or other factors. Common types of potential energy include the gravitational potential energy of an object that depends on its mass and its distance from the center of mass of another object, the elastic potential energy of an extended spring, and the electric potential energy of an electric charge in an electric field. The battery is storing the energy but give it something to power and it'll give its energy to the object and a violin strings are like ruber band and if you play the violin it releases a new type of energy sound energy.

In handball, who is the only player allowed in the goalie area?

Answers

Answer:

Only the goalie is allowed inside the goal crease. The only exception when another player is allowed in the goal area is when they take off from outside the goal area, and shoots or passes the ball before landing. To avoid interference with other players, the player must then exit the goal area as soon as possible.

Explanation:

Can someone help me with this last question

Answers

C is the answer I’m pretty sure if not then D
C or d is the answer

Describe how sound at a concert is different from the front row and the back.

Answers

In the front is where the bass of everything comes from so it’s generally louder up there and toward the back there’s not as much bass to the music more just hearing the singer and other people screaming

PLEASE SOMEONE HELP!!! ANSWER IF YOU KNOW PLEASE!!! LOTS OF POINTS!!!

Answers

Answer:

i think that magnet can cause kinetic because

it is made of iron or steel that attract other magnetic things

#CarryOnLearning

A 4 kg object is moving at a speed of 5 m/sec. How much kinetic energy does the object have? A. 10 joules B. 20 joules C. 50 joules D. 100 joules

Answers

Answer:

A. 10 joules

Explanation:

Given parameters:

Mass of object  = 4kg

Speed  = 5m/s

Unknown:

Kinetic energy of the the object  = ?

Solution:

Kinetic energy is the energy due to a moving body.

So;

           mathematically;

    K.E  = [tex]\frac{1}{2}[/tex] x m v²

m is the mass

v is the velocity

  K.E  =  [tex]\frac{1}{2}[/tex]  x 4 x 5  = 10J

The kinetic energy of the given moving object is 50 J. The  Kinetic energy of an object is the energy due to its motion.

What is Kinetic energy?

The  Kinetic energy of an object is the energy due to its motion. It can be given as

[tex]KE = \dfrac 12 mv^2[/tex]

Where,

[tex]m[/tex] - mass = 4 kg

[tex]v[/tex] - velocity =  5 m/sec.

Put the values in the formula,

[tex]KE = \dfrac 12 4 \times 5^2\\\\KE = 50 \rm \ J[/tex]

Therefore, the kinetic energy of the given moving object is 50 J.

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help please fast + i dont want an answer from g**gle .

Answers

7) 6, i believe, (Cu) 1 atom+ (S) 1 atom+(0)4 atoms.

What is the cost of operating a 100 W light bulb for "4 hrs per day" for 30 days, if the cost of electricity is 6 cents kW•h

Answers

Answer:

the cost of operating the light bulb is 72 cents.

Explanation:

Given;

cost of electricity, C = 6 cents / kW.h

power of light bulb, P = 100 W

time of light power consumption, t = 4 hours per day for 30 days

total time = 4 hours x 30 = 120 hours

Power consumed by the light bulb is calculated as;

P = 100 x 120 = 12000 w.h = 12 kW.h

Cost of power consumption = 6 cents/kWh x 12 kWh

                                               = 72 cents

Therefore, the cost of operating the light bulb is 72 cents.

what force acts between earth and the moon

Answers

Explanation:

Gravity

Gravity is one major force that creates tides. In 1687, Sir Isaac Newton explained that ocean tides result from the gravitational attraction of the sun and moon on the oceans of the earth (Sumich, J.L., 1996).

NEED ANSWER ASAP
Common topics of physics include:
a forms of energy
b sound
C magnetism
d evolution

Answers

Answer:

a

Explanation:

Answer:

C

Explanation:

C

What does an element's group number tell you about an element's chemical and physical properties ?

Answers

The chemical properties of elements are determined by their valence shell electronic configuration.

for example; the group 15 ( nitrogen family ),

The valence shell ( outermost shell ) electronic configuration of is ns2np3 , which clearly shows that all the elements have the tendency to make same kind if bonds with a common element.

That is, consider the hydrates of the group, it is NH3 ( ammonia ),PH3 (phosphine ), AsH3 (arsine ) , SbH3 ( stibine ) etc. They are having the same chemical formula and same type of bond (covalent bond )

The physical properties include melting point, boiling point, density etc.

Here for the same nitrogen family, all elements except nitrogen are solids in room temperature whereas nitrogen is gas.

please help me ;3 (ALSO REMEMBER IT SAYS SELECT TWO)

Answers

Answer:

B and C

Explanation:

It is a reaction between a component(chemical reaction).

I would say c and a

what is the foemula for this problem

Answers

The formula of this problem is 450 divided by 35

A molecule contains 16 atoms and undergoes a chemical change. How does the
chemical change affect the total number of atoms of each element? (2 points)

Answers

Answer:

They remain the same

Explanation:

As the molecule goes from reactants to products, the number of atoms in the each of the element remains the same.

This is in compliance with law of conservation of matter. The law proposes that "in a chemical reaction, matter is neither created nor destroyed by changed from one form to another".

So, since no matter is destroyed, the number of atoms during a chemical change remains the same before and after a reaction.

This is applicable to all chemical changes.

Plz help 200 pts


In the movie Black Panther, Wakanda's economy focuses on the production and use of a fictional metal known as vibranium, which has amazing chemical and physical properties. If this metal actually existed, where do you think the metal would be placed in the periodic table? What would be the elemental symbol?​

Answers

Answer:

We just know that the metal is called Vibranium.

to place something is the table   we need to know its atomic number and its mass. so if we can get that we can ans it.

Explanation:

Calculate the horizontal force that must be applied to a 1,300 kg vehicle to give it an acceleration of 2.6 m/s² on a level road.

500 N

3,380 N

1,302.6 N

0.002 N

Answers

The answer is 3,380 N

The horizontal force must be applied to a vehicle of mass 1300 kg and of acceleration of 2.6 m/s² will be 3380 N. Hence, option B is correct.

What is Acceleration?

The rate of change in an object's velocity concerning time is known as acceleration in mechanics. The vector quantity of accelerations. The direction of the net force that is acting on an object determines its acceleration.

Since acceleration has both a magnitude and a direction, it is a vector quantity. Velocity is a vector quantity as well.

According to the question, the given values are :

Mass, m = 1300 kg

Acceleration, a = 2.6 m/s²

Force = 1300 × 2.6 m/s²

F = 3380 N.

So, the force applied will be, 3380 N.

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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:

The Washington monument in our nations capital is 169 m high. What would be the speed of the penny as it hit the ground?

Answers

The new law and order to get a to be able to do it again in the future the first time I saw him to be the most important part of our family and I have been a little bit more about this one is the only one I had to go to a new study the first time I saw it as an opportunity for the first time since the last time you saw a lot of the people and the second half of the year for a while and then I was going to be a great way to get a better the first time I saw him to be a part of it was a great way ↕️ the first time I have to say I was in my life and the rest of us to do it again in a few days before I could not have been more than a year ago, I had a lot to do with this new version of the same time as a result of the world and I am not sure what the heck is the best your.

The orbit of Venus around the sun is more sharply curved than the orbit of Mars. Use one of Newton's laws to explain this

Answers

Answer:

gravity it's what keeping it to rotate and keeping it looping

If you go to Mars would you be heavier or lighter

Answers

Answer:

I mean you could just look it up... but here the answer for you ,so you know it's right...

Explanation:

:)

7. An object with a weight of 19.6 N moves with a constant velocity of 20.0 m/s. A net
force of 6.00 N is applied to the object in the direction of its motion for 4.00 seconds.
What is the final momentum of the object?

Answers

Answer:

118.4kgm/s

Explanation:

Given parameters:

Weight of object  = 19.6N

          mass of object  = 19.6/9.8   = 2kg

Constant velocity  = 20m/s

Force applied  = 6N

Time taken  = 4s

Unknown:

Final momentum of the object  = ?

Solution:

To solve this problem, we use Newton's second law of motion;

           Ft  = m (v  - u)

F is the force applied

t is the time taken

m is the mass

v is the initial velocity

u is the time taken

           Ft  = mv  - mu

mv is the final momentum;

       So;

     Final momentum  = Ft + mu

 Final momentum  = (19.6 x 4) + (2 x 20) = 118.4kgm/s

Jeremy walked at an average rate of speed of 5 km/h. how far had Jeremy walked in 15 minutes?

Answers

Answer:

1 half kilometer is right answer

Well if we know he can walk 5km in one hour (or 60 minutes) we can do ratios,,,

Km : minutes
5 : 60
: 15


We can do 5 divided by 60 multiplied by 15 to get the unknown km

This will give us 5/4 or 1.25

So he can walk 1.25 km in 15 minutes.


Hope this helps! Any questions let me know :)

A chunk of beef has a mass of 11.6 grams and a volume of 58 cm3. What is the density of the chucky beef?

Group of answer choices

46.4

0

672.8

0.2

5

Answers

Answer:

0.2g/cm³  

Explanation:

Given parameters:

Mass of the beef  = 11.6g

Volume  = 58cm³  

Unknown:

Density  = ?

Solution:

Density is the mass per unit volume of a substance.

  Density  = [tex]\frac{mass}{volume}[/tex]  

So;

  Density  = [tex]\frac{11.6}{58}[/tex]    = 0.2g/cm³  

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