The charges of two particles are as follows: Q1=2 x 10 -8 C and Q2 = 3 x 10 -7 C. Find the magnitude of the force between these charges if Q1 is located at (2, 5, 1) and Q2 is located at (3, 2, 3).

Answers

Answer 1

Answer:

F = 3.86 x 10⁻⁶ N

Explanation:

First, we will find the distance between the two particles:

[tex]r = \sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2+(z_{2}-z_{1})^2}\\[/tex]

where,

r = distance between the particles = ?

(x₁, y₁, z₁) = (2, 5, 1)

(x₂, y₂, z₂) = (3, 2, 3)

Therefore,

[tex]r = \sqrt{(3-2)^2+(2-5)^2+(3-1)^2}\\r = 3.741\ m\\[/tex]

Now, we will calculate the magnitude of the force between the charges by using Coulomb's Law:

[tex]F = \frac{kq_{1}q_{2}}{r^2}\\[/tex]

where,

F = magnitude of force = ?

k = Coulomb's Constant = 9 x 10⁹ Nm²/C²

q₁ = magnitude of first charge = 2 x 10⁻⁸ C

q₂ = magnitude of second charge = 3 x 10⁻⁷ C

r = distance between the charges = 3.741 m

Therefore,

[tex]F = \frac{(9\ x\ 10^9\ Nm^2/C^2)(2\ x\ 10^{-8}\ C)(3\ x\ 10^{-7}\ C)}{(3.741\ m)^2}\\[/tex]

F = 3.86 x 10⁻⁶ N


Related Questions

A car drives 30 m north in 1.5 seconds and drives 60 east in 2 seconds. What is the average velocity

Answers

Answer:

19.2 m/s

Explanation:

From the question,

Velocity = displacement/time = d/t

V = d/t.................................. Equation 1

Average velocity = Total displacement/ total time

Total dispalcement = √(30²+60²) = √4500 = 67.08 m

Total time = 1.5+2 = 3.5 s.

Substitute these value into equation 1

V = 67.08/3.5

V = 19.2 m/s.

Hence the average velocity is 19.2 m/s

The parameter given for the car during transit is 30 m north in 1.5 seconds and drives 60 east in 2 seconds, we want to find the average velocity.

average velocity is 19.2 m/s

Solution

The expression for Average velocity is

Average velocity = Total Displacement/ Total time Taken...............Eqn 1

Total Displacement = √(30²+60²) = √4500 = 67.08 m

Total time = 1.5+2 = 3.5 s.

From the Equation 1

Average Velocity = 67.08/3.5

V = 19.2 m/s.

Therefore, the average velocity is 19.2 m/s

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What are the two types of motion an object can experience when acted upon by balanced forces?

Answers

Answer:

according to newton's first law of motion, when balanced forces are applied to an object:

an object at rest stays at rest an object in motion continues its motion with a constant speed

The two types of motion an object can experience when acted upon by balanced forces are translational and rotational motion.

According to Newton's first law of motion which states that "a body will continue in its state of rest unless acted upon by an external force".

When a body at rest is acted upon by an external force, the body begins to move (it experienced motion). The body that experiences these balanced forces can wither move in a straight line (Translational motion) or in a circular manner (Rotational motion)

Hence the two types of motion an object can experience when acted upon by balanced forces are translational and rotational motion.

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"True or False": Because action and reaction forces are equal in magnitude, they will produce the same acceleration in both objects involved.

True. Forces that are equal in magnitude always result in the same acceleration.
True. The same acceleration will result because the two objects are acting on each other.
False. Acceleration is dependent on the mass of the object that is accelerated.
False. Even though both objects experience an equal force, only one will accelerate.

Answers

True im not 100% sure but I tried.

Which are parts of the middle ear? Check all that apply.

a) anvil
b) ear canal
c) eardrum
d) hammer
e) stirrup
f) auricle

Answers

Answer:

middle ear has three bones! the hammer, anvil, stirrup, and ear drum

Explanation:

Why does it take a long time to start Penicillin production?​

Answers

Answer:

the growth of mycelial, by which reduction in carbohydrate level occurs in the medium. Because of this reduction in carbohydrate level

Explanation:

A ball is projected at an initial speed of 20.0 meter per second making an angle of 45.0 with horizontal. What is the maximum height it will reach?

Answers

Answer:

10.2 metres

Explanation:

Given that a ball is projected at an initial speed of 20.0 meter per second making an angle of 45.0 with horizontal. What is the maximum height it will reach?

Solution

To get the maximum height, let us use the formula

V^2 = U^2 sin^2ø - 2gH

At maximum height V = 0

U^2 sin^2ø = 2gH

Substitute all the parameters into the formula

20^2 ( sin 45 )^2 = 2 × 9.8 × H

400 × 0.5 = 19.6 H

Make H the subject of formula

H = 200 / 19.6

H = 10.204 metres.

Therefore, the maximum height reached by the projected ball is 10.2 metres.

Select the correct answer.
Which gravitational force field diagram is drawn correctly?
A.

Answers

B is the correct answer because gravitational pull

Answer:

B is the correct answer

Explanation:

Question 1 and 2 and 3 physics lesson homework

Answers

Answer:

Jackson 2: Smart 3: Ahmed

Explanation:

square + circle = egg

oops, wrong guy

hii please help i’ll give brainliest!!

Answers

The answer is C Because it is just C
It is C because his third law is for every action there is an equal and opposite reaction

pls match this I will mark u as brainlist ans​

Answers

Answer: The items listed in the attached file is correctly matched below.

Explanation:

51.) Temperature --> ( Kelvin). This is the correct option as the standard international unit of temperature is measured in Kelvin.

52.) Needle --> ( wedge). An example of a wedge is a needle as they are simple machine designed to make work easier.

53.) Wood --> ( non - magnetic material). This is the correct option as wood can not be attracted by a magnet.

54.) Door knob--> (wheel and axle). The door knob is a type of wheel and axle as it has a wheel portion which is the knob and an axle which is the rod in the door that turns the same axis.

55.) Ramp --> (inclined plane). A ramp is an inclined plane which has a sloping surface.

56.) Like forces --> (repels each other). In an electrostatic field, two charged objects repels each other if they have like forces.

57.) Mass --> ( kilogram). This is the correct option as the standard international unit of mass is measured in kilogram.

58.) Friction --> ( oppose motion). This is correct as friction is the force that poses resistance to a moving object.

59.) Cobalt coin -->( magnetic material). This is the correct option as cobalt coin can be attracted by a magnet.

60.) Lemon crusher --> ( Class 2 lever). This is correct as the lemon (load) is at the middle of the fulcrum ( squeezer) and the effort (hand)

61.) Sew saw -->( Class 1 lever). This is correct as in first class lever type of machine, the fulcrum is in-between the load and the effort.

62.) Wheel and axle --> ( Grooved wheel with rope around)

63.) Unlike forces --> ( attracts each other). In an electrostatic field, two charged objects attracts each other if they have unlike forces ( that is, one is positive and the other is negative).

64.) Earth pulls everything towards --> (Gravitational force). This is correct as stated by Newton's law of universal gravitation. This law states that every massive particle in the universe attracts every other massive particle with a force which is directly proportional to the product of their masses and inversely proportional to the square of the distance between them.

65.) Wedge --> (Device to split object apart). This is correct as wedge is a type of simple machine which is used to split objects apart.

Answer:

The items with their corresponding match is presented as follows;

51. Temperature ↔ Kelvin

52. Needle ↔ Wedge

53. Wood ↔ Non-magnetic material

54. Door knob ↔ Wheel and axle

55. Flange ↔ Grooved wheel with a rope around

56. Like forces ↔ Repels each other

57. Mass ↔ Kilogram

58. Friction ↔ Oppose motion

59. Cobalt coin ↔ Magnetic material

60. Lemon crusher ↔ Device to split objects apart

61. See saw ↔ Class I lever

62. Wheel and axle ↔ Class II lever

63. Unlike forces ↔ Attract each other

64. Earth pulls everything towards ↔ Gravitational force

65. Wedge ↔ Inclined plane

Explanation:

The rhinestones in costume jewelry are glass with index of refraction 1.50. To make them more reflective, they are often coated with a layer of silicon monoxide of index of refraction 2.00. What is the minimum coating thickness needed to ensure that light of wavelength 527 nm and of perpendicular incidence will be reflected from the two surfaces of the coating with fully constructive interference

Answers

Answer:

 t = 6.6 10⁻⁸ m

Explanation:

In this case we have that the reflection in the film is constructive, we take into account that

* When the light is reflected from the air (n = 1) to the film (n=2) it has a phase change of 180º

* within the film the wavelength is modulated by the index of refact

          λₙ = λ₀ / n

taking into account these two aspects the expression for constructive interference is

         2n t = (m + ½)  λ₀

let's find the minimum thickness (t) of the film

         t = (m + ½)  λ₀ / 2n

for m = 0

        t = ½   527 10⁻⁹ /(2 2.00)

        t = 6.6 10⁻⁸ m

what is virtual image ​

Answers

Answer:

Virtual images are images that are formed in locations where light does not actually reach. Light does not actually pass through the location on the other side of the mirror; it only appears to an observer as though the light is coming from this location.

Explanation:

What is the unit of energy called? (Give name and symbol)

Answers

Energy is sometimes called a Joule
And a common symbol is E

The kinetic energy of an object increases as its A height B. speed increases C. volume D. potential energy​

Answers

Answer:

As its speed increases.......

The kinetic energy of an object increases as its speed increases. So, option B.

What is meant by kinetic energy ?

The type of energy that an object possesses as a result of its motion is called kinetic energy.

The kinetic energy of an object is described as the amount of effort required to accelerate a body of a specific mass from rest to its specified velocity.

The body keeps its kinetic energy after gaining it during acceleration, barring changes in speed.

When slowing down from its current pace to a condition of rest, the body expends the same amount of energy.

A force must be applied to an object in order to accelerate it. We must put in effort in order to apply a force. After the work is finished, energy is transferred to the item, which then moves at a new, constant speed.

The kinetic energy of the object,

KE = 1/mv²

where m is the mass and v is the speed of the object.

Since, the mass is a constant, the increase in speed can increase the kinetic energy of the object.

Hence,

The kinetic energy of an object increases as its speed increases.

To learn more about kinetic energy, click:

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PLEASE HELP QUICKLY!!!
what happens to the motion of objects when they hit each other?

Answers

Answer:

When two objects in motion hit each other they experience forces that are equal in magnitude and opposite in direction. This force causes one of the objects to speed up or gain momentum and other to slow down or lose momentum.

A bowling ball with a mass of 7.0 kg, generates 56.0 kgᐧm/s units of momentum. What
is the velocity of the bowling ball?

Answers

Answer:

8 m/s

Explanation:

[tex]p = mv \\ 56 = (7.0)(v) \\ v = 8.0 \: m {s}^{ - 1} [/tex]

PLEASE HELLLPP ILL GIVE BRAINLY AND HEART

how does the Gulf stream affect the east coast of the United States?

A ) The Gulf Stream carries cool water along the east coast, causing average temperatures to be cooler than they would be without the current.
B ) The Gulf Stream carries warm water along the east coast, causing average temperatures to be warmer than they would be without the current.
C ) The Gulf Stream carries water along the east coast but the average temperatures are not affected by the current.
D ) The Gulf Stream carries warm water along the east coast but the average temperatures are not affected by the current.

Answers

Answer:

B) The Gulf Stream carries warm water along the east coast, causing average temperatures to be warmer than they would be without the current.

Explanation:

The east coast of the United States is affected mainly by the Gulf Stream current, which brings warm water from the tropics into higher latitudes. Because warmer water evaporates faster, putting more moisture into the air, the current serves to increase the humidity of the air along the coast.

Answer:

I think the answer is B fell free to correct me if im wrong.

A copper wire has a cross-sectional area of 0.80 × 10-6 m2. The number density of electrons for copper is 9.5 × 10^28 m-3. A current of 18 A flows through the wire. Calculate the mean drift velocity of the free electrons in the wire. *

Answers

Answer: 1.480 mm/s

Explanation:

Given

Cross-sectional area [tex]A=0.80\times 10^{-6}\ m^2[/tex]

Number density(no of charges per unit volume) [tex]n=9.5\times 10^{28}\ m^{-3}[/tex]

Current [tex]I=18\ A[/tex]

We know, drift velocity is given by

[tex]\Rightarrow v_d=\dfrac{I}{neA}\\\Rightarrow v_d=\dfrac{18}{9.5\times 10^{28}\times 1.6\times 10^{-19}\times 0.8\times 10^{-6}}\\\Rightarrow v_d=\dfrac{18\times 10^{-3}}{12.16}=1.480\ mm/s[/tex]

Why do bones weaken as a person gets older

Answers

Answer:

The bones aren't as strong as a younger person, because an older person, ages due to time and it also depend on what they do in their past.

Does this help? ^-^"

Rose and Joel's children recently moved out to live independently. The couple has been missing their kids and is experiencing the empty-nest syndrome. Which TWO strategies will help them deal with their loneliness? -pursuing a hobby -joining an activity club with like-minded people -calling their children regularly -visiting their children frequently -convincing their children to move in back home with them

Answers

Answer:

Joining a club and getting a hobby

Explanation:

Join a club if you want to meet people, and when they choose a hobby it should be more than just gardening, because gardening sucks in the long term and it doesn't fill that gap. I know because my grandma did it and she is still sad.

An automobile is sitting on a hill which is 20 m higher than ground level. Find the mass of the automobile if it contains 362,600 J of potential energy

Answers

M= ?
g=9.8 m/s (2)
h=20 m

Eg=362,600 J
Eg/mg

362,600 J/9.8 m/s (2) x 20 m
=1,850 m

The pulse of sound hits a stationary object and is reflected back to the bat. The pulse is received by the bat 0.12s after it was emitted. Calculate the distance travelled by the pulse of sound during this time.

Answers

Answer:

41.52 m

Explanation:

Using,

v = d/t....................... Equation 1

v = speed of pulse of sound, d = distance travelled by the pulse of sound, t = total time taken.

From equation 1, make d the subject of the equation

d = vt............................ Equation 2

Given: t = 0.12 s.

Constant: v = 346 m/s

Susbtitute these values into equation 2

d = 346(0.12)

d = 41.52 m

Made up of the crust and tiny bit of the mantle, this layer is divided into several constantly moving plates of what

Answers

Answer:

Explanation:

solid rock that hold the continents and oceans

A semi truck has a velocity of 28m/s when it comes to a stop over 342m. What is the acceleration of the truck?​

Answers

Acceleration=
Velocity Final - Velocity Initial
————————————————-
Distance

Vf =0m/s because truck came to complete stop
Vi=28m/s
D=342m

0-28
——— =28.1m/s^2
342

A seller on the internet claims to have pieces of a wooden statue that are 2000 years old. You are asked to date the wood to see whether the age is correct. The 20g sample you receive has an activity of 15 counts per second. For living wood. 20g would have an activity of 16 counts per second. Estimate the age of the wood and women’s on weather the sellers claims are true

Answers

Incirjjceincirdjicjr

26. How many covalent bonds does water have?
a.1 b.2 c.3 d.4 e.5

Answers

Answer:

(b) 2

Explanation:


6. Calculate the pressure exerted on an elevator floor which has an
area of 6 m², if 20 people whose combined force is 1500 N are
standing on it.

Answers

Answer:

Hope this helps you out if you could please leave 5 stars or brainiest thank you

An experiment is carried out to measure the extension of a rubber band for different loads.

Answers

Complete question is;

An experiment is carried out to measure the extension of a rubber band for different loads.

The results are shown in the image attached.

What figure is missing from the table?

Answer:

17.3 cm

Explanation:

The image attached showed values for load, extension and initial length.

Now, the first length there is 15.2 cm and as such it's corresponding extension is 0 because it has no preceding measured length.

The second measured length is 16.2 cm. Since it's initial measured length is 15.2 cm, then the extension has a formula; final length - initial length.

This gives: 16.2 - 15.2 = 1 cm

This corresponds to what is given in the table.

For the next measured length, it is blank but we are given the extension to be 2.1 cm. Now, since the initial measured length is 15.2 cm.

Thus;

2.1 cm = Final length - 15.2 cm

Final length = 15.2 + 2.1

Final length = 17.3 cm

En un recipiente con mercurio (13.6 gr/cm3) se sumerge completamente un cuerpo de 900 gramos de masa. AL medir su peso aparente este marca 2.94 newton en el dinamómetro. Cual es la densidad del cuerpo (kg/m3)

Answers

Answer:

      ρ = 20.4 kg / m³

Explanation:

For this exercise we use Archimedes' principle, the thrust on a submerged body is equal to the weight of the released liquid

           B = ρ g V_liquid           (1)

let's write the equilibrium equation

           F -W + B = 0

           B = W -F

let's calculate

           B = 0.900 9.8 - 2.94

            B = 5.88 N

From equation 1

            V_{liquid} =  [tex]\frac{B}{\rho_{Hg} g}[/tex]

            V_{liquid} = [tex]\frac{5.88}{13.6 \ 10^3 \ 9.8}[/tex]

            V_{liquid} = 4.41176 10⁻⁵ m³

       

in this case it is indicated that the body is completely submerged

           V_body = V_liquid = V

     the definition of density is

           ρ = m / V

           ρ = [tex]\frac{0.900 \ 10^{-3}}{ 4.41176 \ 10^{-5} }[/tex]

           ρ = 2.04 10¹ kg / m³

           ρ = 20.4 kg / m³

Why is the sky blue? The earth is surrounded by an atmosphere.

Answers

Answer:

The blue component of the spectrum of visible light has shorter wavelengths and higher frequencies than the red component. Thus, as sunlight of all colors passes through air, the blue part causes charged particles to oscillate faster than does the red part. The faster the oscillation, the more scattered light is produced, so blue is scattered more strongly than red. For particles such as air molecules that are much smaller than the wavelengths of visible light the difference is dramatic. The acceleration of the charged particles is proportional to the square of the frequency, and the intensity of scattered light is proportional to the square of this acceleration. Scattered light intensity is therefore proportional to the fourth power of frequency. The result is that blue light is scattered into other directions almost 10 times as efficiently as red light.

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