Someone is spinning a basketball on his finger. If it is spinning at a rate of 8.92 times per second, what is the basketball's angular velocity in units of radians per second?

Answers

Answer 1

Answer:

angular velocity = 56.04 rad/s.

Explanation:

It is given that,

The baseball is spinning at the rate of 8.92 times per second.

We need to find the basketball's angular velocity in units of radians per second.

Here, frequency of the baseball is 8.92 Hz.

We know that Angular velocity is given by :

[tex]\omega=2\pi f\\\\\omega=2\pi \times 8.92 \\\\\omega=56.04\ rad/s[/tex]

So, the angular velocity of the basketball is 56.04 rad/s.


Related Questions

APEX PLEASE HELP
To increase the electricity supply in the country, a government needs to build
a new power plant. Which of the following is a cost associated with the use
of nuclear power that should be factored into its decision?
A. Nuclear power produces radioactive waste.
B. Nuclear power does not depend on wind.
C. Nuclear power does not contribute to climate change.
D. Nuclear power can be produced both day and night.

Answers

Answer: A. Nuclear power produces radioactive waste.

The answer pleaseeeeeee

Answers

I’d love to help, but I can barely understand what you put

A racing car increases its speed from 10 m/s to 50 m/s over a distance of 60 m.
How long does this take?

Answers

We can solve this by using the equation

S = ut + 1/2 at^2
Where S is distance
And u is initial velocity
And a is acceleration

a = v-u/t

So
S = ut + 1/2 x v-u/t x t^2
60 = 10t + 1/2 x 50 - 1/2 x 10 x t
60 = 10t + 25 - 5 x t
60= 10t + 20t
60 = 30t
60/30 = t
2 equals t

So it takes 2 seconds

A car travels at a constant speed around a circular track whose radius is 3.22 km. The car goes once around the track in 248 s. What is the magnitude of the centripetal acceleration of the car

Answers

Answer:

a = 1,838.17m/s²

Explanation:

centripetal acceleration a = v²/r

v is velocity of the car

r is the radius = 3.22km = 3220m

time t = 248

First is to find to velocity using the equation of motion:

v = u+gt

v = 0+(9.81)(248)

v = 2,432.88m/s

a = 2,432.88²/3220

a = 5,918,905.0944/3220

a = 1,838.17m/s²

The magnitude of the centripetal acceleration of the car is 1,838.17m/s²

Invisible fence for dogs. In this type of system, a wire is buried under the surface and a current at a given frequency passes through the wire. The dog wears a small unit made of a pickup coil and electronics that delivers a short high-voltage pulse to the dog through a couple of electrodes pressed against its skin. The pulse is not harmful, but it does provide a correction that encourages the dog to keep away. In an invisible fence, the wire carries a 10kHz sinusoidal current with an amplitude of 0.5 Amps. The dog carries a sensoron its collar made as a coil with 150 turns and 30 mm in diameter.If the detection level at the coil inside the collar is set at 200 μV RMS (i.e., the level at which the dog will receive a correction pulse), what is the furthest distance from the wire the dog will "feel" the presence of the fence?

Answers

Answer:

The distance is  [tex] s =  2.3 \  m [/tex]

Explanation:

From the question we are told that

   The  frequency of the current is  [tex]f =  10\ kHz  = 10 *10^{3} \  Hz[/tex]

   The magnitude of the  current  is  [tex]I_o  =  0.5\ Amps[/tex]

     The number of turns is  [tex]N =  150\  turns[/tex]

     The  diameter is  [tex]d =  30 mm  = 0.03 \ m[/tex]

      The detection level is  [tex]V_{rms}  =  200 \mu V  =  200 * 10^{-6} \  V[/tex]

Generally the radius is mathematically represented as

      [tex]r =  \frac{d}{2}[/tex]

=>    [tex]r =  \frac{0.03}{2}[/tex]

=>      [tex]r 0.015 \ m [/tex]

Generally the magnetic field  generated by the fence is mathematically represented as

      [tex]B  =  \frac{\mu_o *  N * I}{2 *  \pi * s}[/tex]

Here s is the point where the do will feel the magnetic field

      [tex]\mu_o[/tex] is the permeability of free space with value  [tex]\mu_o =   4\pi * 10^{-7} N/A^2 [/tex]    

   So

         [tex]B  =  \frac{ 4\pi * 10^{-7}  *  150 *  I}{2 * 3.142  * s}[/tex]

Generally the magnetic flux is mathematically represented as

     [tex]\Phi =  B *  \pi * r^2[/tex]

=>   [tex]\Phi =   \frac{ 4\pi * 10^{-7}  *  150 * I}{2 * 3.142  * s} *  \pi * r^2[/tex]

=>   [tex]\Phi  =  \frac{2.121 *10^{-8} *  I }{s}[/tex]

Generally the induced emf is mathematically represented as

      [tex]\epsilon  =- \frac{d \Phi}{dt}[/tex]

=>    [tex]\epsilon  =- \frac{ 2.121 *10^{-8} }{ s } *  \frac{d I}{dt}[/tex]

Generally the angular frequency is mathematically represented as

   [tex]w =  2 \pi f[/tex]

=>        [tex]w =  2 *  10*10^{3} \pi [/tex]

=>       [tex]w =  20000 \pi [/tex]

So the current is mathematically represented as

        [tex]I = I_o sin (wt)[/tex]

=>     [tex]I = I_o sin ( 20000 \pi * t)[/tex]

So

  [tex]\epsilon  =- \frac{ 2.121 *10^{-8} }{ s } *  \frac{d [ I_o sin ( 20000 \pi * t)]}{dt}[/tex]

  [tex]\epsilon  =- \frac{ 2.121 *10^{-8} }{ s } *  I_o * 20000 \pi   [  cos ( 20000 \pi * t) [/tex]  

   [tex]\epsilon  =- \frac{ 2.121 *10^{-8} }{ s } * 0.5 * 20000 \pi   [  cos ( 20000 \pi * t) [/tex]    

    [tex]\epsilon  =- \frac{ 6.6*10^{-4} }{ s } [  cos ( 20000 \pi * t) [/tex]  

Here the  

    [tex]\epsilon_{rms} = \frac{ \frac{ 6.6*10^{-4} }{ s }}{\sqrt{2} }[/tex]

=>     [tex]\epsilon_{rms} = \frac{ 6.6*10^{-4} }{ s\sqrt{2}  }[/tex]

But from the question we are told that  [tex]V_{rms}  =  200 \mu V  =  200 * 10^{-6} \  V[/tex]

So

    [tex]\frac{ 6.6*10^{-4} }{ s\sqrt{2}  } = 200 * 10^{-6}[/tex]

=>  [tex]6.6*10^{-4}= 2.8284 *10^{-4} * s[/tex]

=>  [tex] s =  2.3 \  m [/tex]

Question 4
10 pts
Que
A ping pong ball is thrown straight up into the air and has an initial velocity of 20.5 m/s.
Determine the peak height to which the ping pong ball rises.
Time Runnir
Attempt due:
30 Minutes
O 21 m
O 1 m
O 43 m
O Om
< Previous
Next
Not saved
Submit Ouiz

Answers

Answer:

I have no clue what this means or what the answer is i am just trying to get my points up so i can ask questions

Explanation:

i am going to put something here so it looks like an explanation so yeah this has no meaning whatsoever i am very sorry that i am not able to give you the answer try looking the answer up im very very very very sorry :(


A man runs 400.0m around the track,
then another 400.0m around the track again.
As the track is 400.Om long, the man is back
where he started!
a) calculate distance travelled

b) calculate mans displacement

Answers

Answer:

Distance = 800 m, Displacement = 0

Explanation:

It is given that,

A man runs 400 m around the track,  then another 400 m around the track again.

(a) Distance travelled by an object is the sum of total path covered.

In this case, he has covered total path of 400 m + 400 m i.e. 800 m. It means he travelled a distance of 800 m.

(b) Displacement covered by an object is the shortest path covered by it. In this problem, he reaches the point from where he has started. It means that his displacement is equal to 0.

Calculate the dot product of D and E, where D=7i - 3j + 2k and E=4i + 5j - 3k.​

please show working

Answers

Answer:

Since i dot i = 1  and  j dot j = 1 and k dot k = 1 and the other terms are zero

(7 i - 3 j + 2 k) dot (4 i  + 5 j - 3 k) = 28 - 15 -6  = 7

A building's 10th floor (34.5 m high) is blazing with fire. A fire truck arrived at the scene and the fire
men shoots water from their hose. The water leaves the hose at the speed of 29 m/s, at an angle
of
63° and is held at 0.90 m from the ground. Will the water reach the fire? If so, how far from the
building should the hose be so the fire could be put out? ​

Answers

Answer:

Yes, the water will be reach the fire.

The hose should be at 34.7 m from the building

Explanation:

Given that,

Height of building's =34.5 m

Speed = 29 m/s

Angle = 63°

Distance from the ground = 0.90 m

We need to calculate the actual height

Using formula of height

[tex]H=\dfrac{u^2\sin^2\theta}{2g}[/tex]

Put the value into the formula

[tex]H=\dfrac{29^2\sin^2{63}}{2\times9.8}[/tex]

[tex]H=34.0\ m[/tex]

The height from the ground will be

[tex]H'=34+0.90[/tex]

[tex]H'=34.9\ m[/tex]

We can say that, the water gun attained the maximum height that is 0.4 m more than the 10th floor.

So, yes, the water will be reach the fire.

We need to calculate the range

Using formula of range

[tex]R=\dfrac{u^2\sin2\theta}{g}[/tex]

Put the value into the formula

[tex]R=\dfrac{29^2\times\sin(2\times63)}{9.8}[/tex]

[tex]R=69.4\ m[/tex]

The house should be at half of R.

[tex]\dfrac{R}{2}=\dfrac{69.4}{2}[/tex]

[tex]\dfrac{R}{2}=34.7\ m[/tex]

Hence, Yes, the water will be reach the fire.

The hose should be at 34.7 m from the building

Explain whether the size of an object's displacement could be greater than the distance the object travels

Answers

Answer:

Displacement is always less than or equal to distance. Note that distance is a scalar whereas displacement is a vector. So displacement cannot be more than distance.

The size of an object's displacement can never be greater than the distance the object travels by the object because displacement is the shortest distance traveled between the initial and the final position.

What is displacement?

An object's position changes if it moves in relation to a reference frame, such as when a passenger moves to the back of an airplane or a professor moves to the right in relation to a whiteboard.

Displacement can never be greater than the distance covered by any moving body.

Since displacement is the smallest distance between the beginning and final positions, the size of an object's displacement can never be more than the distance the object travels.

Learn more about displacement here, refer to the link;

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Which statements about the kinetic energy of a moving object are true?​

Answers

Answer:

it a most depends on the moving objects mass

Answer:

Its amount depends on the moving object’s mass,

It can be transferred from one object or body to another, and  Its amount depends on the moving object’s speed.

Explanation:

the first outside orbit of Earth planet is
a Jupiter
b Mars
c Saturn
d uranus​

Answers

Answer:

I believe it would be B, Mars.

Hope this helps!

B, Mars is the correct answer.

Thank you ☺️☺️


Which choice has the least thermal energy?
A swimming pool full of cool water
b all the water in Earth's oceans
C cup of hot cocoa
d bathtub full of warm water

Answers

Answer:it’s c a cup of hot cocoa

Explanation:

Answer:

c, cup of hot cocoa

Explanation:

it might seem like the hot cocoa is the hottest, but because the substance is so small, it has the least thermal energy

What is the purpose of a free body diagram?
CO
to show the velocity of an object
to show the acceleration of an object
to show the forces acting on an object
to show the direction of motion vectors of an object

Answers

Answer:

i think the answer is c

Explanation:

zrrxtcyvjvugugyctcyvjv

A free body diagram consists of a diagrammatic representation of a single body or a subsystem of bodies isolated from its surroundings showing all the forces acting on it.

What is free body ?

"A body is said to be "free" when it is singled out from other bodies for the purposes of dynamic or static analysis." The object does not have to be "free" in the sense of being unforced, and it may or may not be in a state of equilibrium; rather, it is not fixed in place and is thus "free" to move in response to forces and torques it may experience.

Know more about free body here

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What is the displacement of the cross-country team if they begin at the school, run 16 kilometers and finish back at the school? Calculate the average speed and average velocity if they finish in 1 hour and 15 minutes?

Answers

Displacement is change in position over time. Their change in position is 0. Their final position is the exact same as their initial (where they started).

Average speed is total distance, not displacement. They ran 16 kilometers and back another 16 kilometers. That’s 32 kilometers. We want to change this into meters tho. That’s the si unit for speed. So multiply that by 1000 to get 32,000 meters. Now divide that by the time. Again, convert that hour and 15 minutes into seconds because the si unit for time is seconds. Do 1*3600 and then add 15*60 to get 4,500 seconds.
32,000m/4,500s = 7.1 m/s

Average velocity is displacement over time. We already went over that the displacement is 0, so therefore average velocity is 0

Explain the
energy
transformation
processes in an
electromagnet.

Answers

Answer:

when the enrgy flow a electromagnet will exist

Explanation:

i dont reaaly understand by the word energy transformation but thats how elektromagnetic will form

A possible answer is “electrical energy changes to electromagnetic potential energy”

Two dogs are running a race of 100m. The green dog runs the 100m in 10s. The
red dog runs the first half of the race in 3s and then turns around and runs back
to the starting line in 5s. Describe what the velocity time graph would look like of
the race.

Answers

Answer: What type of dog is green and red?

Explanation:

Explain why 15yr old need more calcium than adults

Answers

Answer:

When adolescents get enough calcium during the teen years, they can start out their adult lives with the strong bones and significantly reduce their risk for fractures as an adult. Inadequate calcium intake during adolescence and young adulthood puts individuals at risk for developing osteoporosis later in life.

Answer:

I hoped this helpful for you

Thank you ☺️☺️

I the Lord am your God You shall have no other gods besides Me."

Which ancient river civilization would believe in this quote?

Answers

Answer:

Israelites

Explanation:

They only believed in one GOD

If such a particle is moving, with respect to the laboratory, with a speed of 0.950 c , what average lifetime is measured in the laboratory?

Answers

Complete Question

The positive [tex]muon (^+)[/tex], an unstable particle, lives on average [tex]2.20 * 10^{-6}\ s[/tex]  (measured in its own frame of reference) before decaying.

If such a particle is moving, with respect to the laboratory, with a speed of 0.950 c , what average lifetime is measured in the laboratory?

Answer:

The value is  [tex]\Delat  t  =  7.046 *10^{-6} \  s[/tex]

Explanation:

From the question we are told that

   The the average live time of  [tex]muon (^+)[/tex] is  [tex]\Delta t_o  =  2.20 *10^{-6} \  s[/tex]

    The speed of of [tex]muon (^+)[/tex]  in the laboratory is  [tex]v  =  0.950 c[/tex]

   

Generally the average life time of the positive [tex]muon (^+)[/tex] measured in the laboratory  is mathematically represented as

 [tex]\Delat  t  =  \frac{\Delta t_o }{ \sqrt{1 - \frac{v^2}{c^2} } }[/tex]

 [tex]\Delat  t  =  \frac{2.20 *10^{-6}}{ \sqrt{1 - \frac{(0.950 c)^2}{c^2} } }[/tex]

   [tex]\Delat  t  =  \frac{2.20 *10^{-6}}{ \sqrt{1 - \frac{0.9025 c^2}{c^2} } }[/tex]  

   [tex]\Delat  t  =  \frac{2.20 *10^{-6}}{ \sqrt{1 - 0.9025  } }[/tex]

   [tex]\Delat  t  =  \frac{2.20 *10^{-6}}{ \sqrt{ 0.0975  } }[/tex]

     [tex]\Delat  t  =  7.046 *10^{-6} \  s[/tex]

I WILL MARK YOU AS BRAINLIEST IF RIGHT
A car traveling north with a speed of 35 m/s slows down to a velocity of 10 m/s within 5 seconds. What is the car's deceleration?

Answers

Answer:

-5

Explanation:

10-35/5

-25/5

-5m/s^2it ask the deceleration this mean

vf<vi so it's negative it is the simplest way

the answer is -5!!!!!

From the concepts you have learned in this module, how are you going to assess
the Earth's condition to support life? Explain your answer.
1. Temperature
2. Water
3. Atmosphere
4. Energy
5. Nutrients​

Answers

Answer:

Find the explanation below.

Explanation:

Earth is properly designed to support life. This is seen in the favorable temperature that supports life, the water cycle that recycles water for plant and animal life, the atmosphere, energy, and nutrients.

1. Temperature: The temperature which is regulated by the different weather conditions such as the rains, snows, dry seasons all help to maintain a stable condition for life.

2. Water: The water cycle through processes like evaporation, condensation, precipitation, helps to ensure that there is never a lack of water in the earth. The numerous water bodies like the seas, oceans, rivers, lakes, also provide a habitat for some living things. Water makes up 70% of the earth.

3. Atmosphere: The atmosphere is a mixture of gases in the right proportions that are necessary for life. Oxygen, Nitrogen, Carbon, etc are released and inhaled by man and other living things. They are also involved in so many biochemical reactions that help in metabolism and catabolism.

4. Energy: Energy generated from the sun and within the earth is stored in various forms and is always conserved. This energy is converted to different states such as the potential, chemical, kinetic, mechanical forms to get work done and to release heat.

5. Nutrients​: Though cycles such as the carbon, nitrogen, oxygen, and phosphorous cycles, the earth maintains its stock of essential nutrients that help to sustain life.

An interdisciplinary approach encompassing climatology, oceanography, environmental science, and other fields of study is necessary to evaluate the Earth's capacity to support life.

Temperature: Monitoring and analyzing climate data from numerous sources, including weather stations, satellites, and ocean buoys, is necessary to determine the Earth's temperature. To understand how temperature patterns vary over time, scientists look at long-term trends, seasonal variations, and severe events. They forecast future temperature increases and their possible effects on life and ecosystems using global climate models.

Water: Monitoring freshwater availability, water quality, and water distribution throughout various regions are all part of the assessment of Earth's water resources. Studies of precipitation patterns, data on ice melting from polar regions, and measurements of water levels in lakes, rivers, and aquifers are all conducted by researchers. Testing for toxins, pollutants, and chemical compositions is part of evaluating water quality to make sure it adheres to acceptable standards for both ecological and human health.

Atmosphere: scientists measure and research a number of factors, such as greenhouse gases, air quality, and atmospheric pressure, in order to evaluate the Earth's atmosphere. Carbon dioxide (CO2), methane (CH4), and other greenhouse gases are measured at monitoring sites throughout the globe to better understand how they contribute to climate change. Pollutants like particle matter and ozone, which have an influence on both human health and ecosystems, are measured by air quality monitoring stations.

Energy: studying diverse energy sources and their effects on the environment and ecosystems is necessary to evaluate the amount of energy present on Earth. Scientists assess the usage of non-renewable energy sources like fossil fuels as well as renewable energy sources like solar, wind, hydro, and geothermal energy. To create sustainable energy plans that support life on Earth, they examine energy consumption trends, carbon emissions, and energy efficiency.

Nutrients: studying nutrient cycles and availability in soils, oceans, and terrestrial ecosystems is necessary for evaluating the availability of nutrients in the Earth's ecosystems. To determine the nutrient levels for agriculture and plant growth, researchers examine soil samples. In order to gauge the productivity and availability of nutrients for marine life, they also research marine ecosystems.

Hence, an interdisciplinary approach encompassing climatology, oceanography, environmental science, and other fields of study is necessary to evaluate the Earth's capacity to support life.

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Which of the following is a characteristic of electromagnetic waves? (2 points)

Answers

What’s the answer choices to pick from?

when are two magnets attracted?

Answers

Answer:

when the negative and positive energy is connected

Explanation:

Two point charges of magnitudes +5.00 μC, and +7.00 μC are placed along the x-axis at x = 0 cm and x = 100 cm, respectively. Where must a third charge be placed along the x-axis so that it does not experience any net force because of the other two charges? Two point charges of magnitudes +5.00 μC, and +7.00 μC are placed along the x-axis at x = 0 cm and x = 100 cm, respectively. Where must a third charge be placed along the x-axis so that it does not experience any net force because of the other two charges? 50 cm 45.8 cm 9.12 cm 91.2 cm 4.58 cm

Answers

Answer:

45.8 cm

Explanation:

To solve this, we will use the formula

5 / x² = 7/(1 - x)²

5 / x² = 7 / (1 - 2x + x²)

5 / 7 = x² / (1 - 2x + x²)

x = 0.5 * (√(35) - 5) meters

x = 0.5 * (5.916 - 5)

x = 0.5 * (0.916)

x = 0.458 or x = 45.8

The position where the third charge is placed along the x-axis so that it does not experience any net force because of the other two charges is 45.8 cm.

Given :

Two point charges of magnitudes +5.00 μC, and +7.00 μC are placed along the x-axis at x = 0 cm and x = 100 cm, respectively.

The following calculation can be used in order to determine the position where the third charge is placed along the x-axis so that it does not experience any net force because of the other two charges.

[tex]\rm \dfrac{5}{x^2}=\dfrac{7}{(1-x)^2}[/tex]

Simplify the above expression by cross multiplying.

[tex]5(x^2+1-2x)=7x^2[/tex]

[tex]\rm 5x^2 + 5 - 10x = 7x^2[/tex]

[tex]2x^2+2x-1=0[/tex]

Further, simplify the above expression in order to determine the value of x.

x = 0.458

x = 45.8 cm

Therefore, the correct option is b).

For more information, refer to the link given below:

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In order for clouds to form, what must happen first?

Answers

Answer:

Step 1: Change Water Vapor into Liquid Water

But in order to grow a cloud, we need to get the water vapor from a gas to its liquid form. Clouds begin to form when a parcel of air rises from the surface up into the atmosphere

Explanation:

By applying the third law of motion, which force is greater when you push on a wall? Your force, the wall’s force, your force and the wall’s force are equal or the force saved before pushing the wall.

Answers

Hello!

By applying the third law of motion, your force and the wall's force are equal.

I hope this helps you! Have a great day!

- Mal

Answer:

they are equal

Explanation:

since it's an equal and opposite force exerted on both bodies, obviously there's no force greater than the other. however, perhaps you could say that since your mass is smaller, the impact of the force exerted on you is greater than that exerted on the wall since F=ma.

The largest airplane built that has flown more than once is the Ukrainian-built

Antonov-225 Mriya. With a length of 85 m and a wingspan of 88 m, the Mriya

(Dream) was designed to carry the space shuttle of the Soviet Union’s space

program. Unloaded, the top speed of Mriya is 236 m/s, at which its kinetic

energy is 9.76 × 109 J. What is it’s mass?

Answers

Answer:

m = 350474 [kg]

Explanation:

In order to solve this problem we must remember the definition of kinetic energy, which can be easily calculated by means of the following equation.

[tex]E_{k}=\frac{1}{2} *m*v^{2} \\[/tex]

where:

Ek = kinetic energy = 9.76*10^9[J]

m = mass [kg]

v = velocity = 236 [m/s]

Now replacing and solving the equation.

9.76*10^9 = 0.5*m*(236)^2

m = 9.76*10^9 / (0.5*236^2)

m = 350474 [kg]

The magnetic material is distributed this way because magnets
A
have magnetic fields that repel magnetic materials and push the shavings away.
B
have multiple magnetic fields that attract the shavings with different strengths.
C
have uneven magnetic fields that attract the shavings in random patterns.
D
have magnetic fields that flow from one pole of the magnet to the other.

Answers

Answer:

A

Explanation:

Since one light is being taken away,

the rest of the light bulbs will get

more energy transfered to both

light bulbs, therefore, they will

not explode, but get brighter.

Hope this helps! <3

Since one light is being removed, more energy will be transmitted to the other light bulbs, preventing an explosion while increasing brightness. Thus, option B is correct.

What cause to magnetic fields?

The majority of the electrons in some compounds, however, spin in the same direction due to their high magnetic properties.

These materials produce the strongest magnets due to their high magnetic permeability.

A magnet's magnetic strength is not the same throughout. In a bar magnet, the magnetic field is stronger around the pole than it is in the center, where the field is weaker.

This is so because the shape has an impact on how the magnetic energy in the area it occupies is distributed.

Therefore, have multiple magnetic fields that attract the shavings with different strengths.

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Three point charges are positioned as follows: a positive charge +q is located on the x-axis at the point (b, 0), a negative charge -2q is located on the x-axis at the point (-2b, 0), and the third, a positive point charge +q/3 is located at the point (-2/3b, -1/3b). What is the symbolic expression for the electric field at the origin due to this system of point charges, in terms of k e, q and b and what is the magnitude of the electric field at the origin? To answer this question, please go through the following steps: To begin, carefully draw the three electric field vectors originating from the origin: the contribution to the net electric field from each of the three source charges. Consider: what information do you need to find the x and y-components of each of these three vectors?

Answers

Answer:

 Ex = k q / b2 [- ¾] ,   Ey = k q / b2 3

Explanation:

For this exercise we calculate the electric field created by each load on a test charge located at the origin

Field created by load q = + q

        E₁ = k q / r²

        r = b-0

        E₁ = k q / b²

in the negative direction of the x axis

Field created by load q = -2q

         E₂ = k (2q) / (2b-0)₂

         E₂ = K q / 2b₂

The field is in the negative direction of the x-axis

Field created by charge q = + q / 3

this charge creates a field that has components on the x and y axes

X axis

        E3x = K (q / 3) / (2b / 3) 2

         E3x = K q 3 / 4b²

as the charge is on the negative side of the x axis. The field goes to the bright side

Axis y

            E3y = k (q / 3) / (b / 3) 2

            E3y = k q / b²

directed up

therefore the electric field is the sum of the field created by each charge

X axis

          Ex = -E1 + E2 + E3x

          Ex = -k q / b2 - k q / 2b2 + k q 3 / 4b2

          Ex = k q / b2 [-1 -1/2 + ¾]

          Ex = k q / b2 [- ¾]

Axis y

          Ey = k q / b2 3

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