Suppose you want to determine the electric field in a certain region of space. You have a small object of known charge and an instrument that measures the magnitude and direction of the force exerted on the object by the electric field. (a) The object has a charge of +25.0 μC and the instrument indicates that the electric force exerted on it is 40.0 μN, due east. What are the magnitude and direction of the electric field? E = (b) What are the magnitude and direction of the electric field if the object has a charge of -10.0 μC and the instrument indicates that the force is 40.0 μN, due west? E = (Chp18,p13GO)

Answers

Answer 1

Answer:

(a) 1.6 N/C, due east.

(b) 4 N/C, due east.

Explanation:

The force vector,[tex]\vec {F}[/tex] on the charge, q, in the electric field vector, [tex]\vec{E}[/tex], is

[tex]\vec {F}=\vec{E}q[/tex]

[tex]\Rightarrow \vec{E}=\frac{vec{F}}{q}\;\cdots(i)[/tex]

Let the unit vector towards east is [tex]\hat{i}[/tex], so the unit vector towards west is -

(a) Given that:

[tex]q=+25 \mu C[/tex],

[tex]\vec{F}=40.0 \mu N[/tex], due east

[tex]\Rightarrow \vec{F}=40.0 \mu N (\hat{i})[/tex]

From equation (i)

[tex]\vec{E}=\frac{40.0 \mu N (\hat{i})}{25 \mu C}=1.6(\hat{i}) N/C[/tex]

So, the magnitude of electric field is 1.6 N/C and the direction is towards east.

(b) Given that:

[tex]q=-10.0 \mu C[/tex],

[tex]\vec{F}=40.0 \mu N[/tex], due west

[tex]\Rightarrow \vec{F}=40.0 \mu N (-\hat{i})[/tex]

From equation (i)

[tex]\vec{E}=\frac{40.0 \mu N (-\hat{i})}{-10 \mu C}=-4(\hat{i}) N/C[/tex]

[tex]\Rightarrow \vec{E}=4(\hat{i}) N/C[/tex]

So, the magnitude of electric field is 4 N/C and the direction is towards the east.


Related Questions

10 points
You will need to refer to your periodic table to answer this
question.Which of these groups (columns) in the periodic table is made
up primarily of elements that are gases at room temperature?"
Group 1
Group 2
O Group 17
O Group 18

Answers

Answer:Hhvhvhvgvhvh

Explanation:

Which technology is used to service space vehicles and other equipment?
space probe
space station
space satellite
space observatory

The answer isn’t probe. I believe it’s space station. Someone please answer

Answers

you’re correct hope this helps :)

Answer:

You're correct it is space station

Explanation:

Did the quiz

How do electromagnetic and mechanical waves compare?

Answers

Transmit energy
Doesn’t transmit matter

Answer:

Transmit energy

Explanation:

in the game of croquet, a player moves a ball around a course by striking the ball with a mallet all the players take turns striking there own balls the photo shows some kind of result of one kind of play.


what most likely causes the motion of the purple ball in the photo.

Answers

Answer:Kinetic energy from the mallet is transformed first to the orange ball and then to the purple ball.

Explanation:

What is the process used to separate the mixture of flour and rice?

Answers

1. Take a breaker
2. Put a sieve on it
3. Pour the mixture and shake the sieve gently
4. Wait for the flour to fall. After the flour falls pour the rice from the sieve into other beaker then do experiment again for fair testing(optional)

At an altitude of 6679 km above the center of the Earth the International space station can complete one orbit and 1.5 hours determine the average speed of the ISS explain why you should calculate speed in this case and not velocity

Answers

5524.8 m/s


an object's speed tells you how fast it's going. Its velocity tells you how fast it's going in a certain direction. You use speed measurements in your daily life, but physicists depend on velocity measurements more frequently in their work.

1] What is an alpha particle?

a) 2 charged particles and 2 neutral particles
b) 2 charged particles and 4 neutral particles
c) 4 charged particles and 2 neutral particles.
d) 4 charged particles and 4 neutral particles.​

Answers

I am pretty sure it is A. I learned about this is biology 2 years ago.

Answer:

An alpha particle is a helium nucleus emitted by some radioactive substances, originally regarded as a ray

which of the following steps to solve a problem is completed last?

A analazyzing data
B recognizing and identifying the problem
C forming a hypothesis
D testing a hypothesis​

Answers

Answer:

that would be analyzing data I believe

The answer is A good luck!!!

Which energy conversion takes place when a solar cell is used to light a street lamp?


A.

solar energy → light energy

B.

solar energy → electric energy → light and heat energy

C.

solar energy → light and heat energy

D.

heat energy → light energy

E.

heat energy → light energy → electric energy

Answers

Answer:

B. solar energy → electric energy → light and heat energy

Explanation:

The solar energy received from the solar rays is transformed into electrical energy, through a photovoltaic process that is part of the solar panel and other elements. Then the electric energy generates currents that pass through the electrical circuit and this transformation generates light in electric bulbs. Since energy conversion processes are never 100% efficient for the electric energy in the bulb is transformed into heat, for that reason the electric bulb emits part of its energy in the form of light and heat.

What words come to mind when you hear the word Philosophy?

Answers

Answer:

the love of wisdom

Explanation:

the love of wisdom is an activity of attempting to understand the world, in all its aspects

Which of the following reactions best illustrates the Law of Conservation of Mass?
A. H2O2 → H2O + O2
B. Na + CuS → Na2S + 2 Cu
C. K + AgCl → KCl + Ag
D. NaOH + 2 HCl → NaCl + H2O

Answers

Answer:

A

Explanation:

Mass does not change no matter what!!! In this instence it is all still there. hope it helps

In the reaction, K + AgCl → KCl + Ag, the masses are constant before and after the reaction. Hence, this illustrates the Law of Conservation of Mass. So, option (C) is correct.

The given problem is based on the chemical analysis for the law of conservation of mass. As per the law of conservation of mass, "In a chemical reaction, the mass of reactant can neither be created, nor be destroyed. But it can change its phase".

In the chemical reaction,

K + AgCl → KCl + Ag

Clearly in the potassium and silver chloride, the mass of reactant (potassium and silver chloride) remains same (or constant) while forming a product (potassium chloride and Silver). Which is not observed in other given chemical reactions.

Thus, we can conclude that in the reaction, K + AgCl → KCl + Ag, the masses are constant before and after the reaction. Hence, this illustrates the Law of Conservation of Mass. So, option (C) is correct.

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which of the following is the best answer for the Earth revolving around the Sun instead of crashing into it?

Answers

Gravity from the Sun And suronnding planets keeps the Earth on its certain orbit
the suns gravitational pull to the planets keeps all planets as well as earth in orbit

The ability of a material to be drawn into a thin wire is called ___________________________.

YALL PLEASE HELP

Answers

Answer:

Explanation:

The ability of a material to be drawn into a thin wire is called ductility

PLEASE HELP ME

A fire damaged several of
the apartments next to the one where the fire started.
Damage may have been reduced by controlling the transfer of thermal energy
with the use of better -

A. conduction
B. convection
C. insulation
D. radiation

Answers

Answer:

im pretty sure it is C. Insulation

Explanation:

because it says reduced, and basically ur insulating the fire.

The speed of sound is 343 m/s in air at room temperature. What is the wavelength of a B-flat musical note that has a frequency of 466 HZ? What would happen to the wave length if you increased the frequency to 932 Hz?

Answers

Answer:

1398

Explanation:

sorry if imam wrong

What two types of energy does a rock have as it rolls down a hill? (APEX)
A. Sound energy
B. Nuclear energy
C. Potential energy
D. Kinetic energy
E. Magnetic energy

Answers

Answer:

C. Potential energy

D. Kinetic energy

Explanation:

PLEASE SOMEONE ANSWER!!! thank you so so so much!!!!

Answers

Answer:

As much I know the gravity on moon is 1.62m/s२.

A 450.0 kg boat experiences two simultaneous forces. The motor exerts a force of 100.0 N to accelerate the boat forward, while an unknown drag force pushes in the opposite direction. The boat accelerates forward at 0.1330 m/s2. Calculate the drag force acting on the boat.

Answers

Answer:

The  drag force is [tex]D = 40.15 \ N[/tex]

Explanation:

From the question we are told that

  The mass is  [tex]m = 450.0 \ kg[/tex]

  The acceleration [tex]a  = 0.133 m/s^2[/tex]

The force due to the motor is  [tex]F_m = 100 \ N[/tex]

Generally the net force acting on the boat is mathematically represented as

    [tex]F = m * a[/tex]

=>  [tex]F = 450.0 * 0.1330[/tex]

=>  [tex]F = 59.85 \ N[/tex]

Generally the drag force acting on the boat is mathematically represented as

     [tex]D = F_m -F[/tex]

=>  [tex]D = 100 - 59.85[/tex]

=>   [tex]D = 40.15 \ N[/tex]

 

If the mass of block B is 2kg, the gravitational force exerted on block B is most nearly which of the following?
0.2N
2N
20N

P.S The acceleration is 10m/s^2 but I have no idea how to get that, so could someone explain that to me.​

Answers

Answer:

20 N.

Explanation:

The following data were obtained from the question:

Mass of block B (m) = 2 Kg

Acceleration due to gravity (g) = 10 m/s²

Gravitational force (F) =..?

Force is simply defined as the product of mass and acceleration i.e

Force = mass (m) × acceleration (a)

F = ma

Thus, we can say that the gravitational force on block B will be the product of the mass of block B and acceleration due to gravity i.e

Gravitational force (F) = mass of block B (m) × acceleration due to gravity (g)

F = mg

Mass of block B (m) = 2 Kg

Acceleration due to gravity (g) = 10 m/s²

Gravitational force (F) =..?

F = mg

F = 2 × 10

F = 20 N

The, the gravitational force exerted on block B is 20 N

Gravitational force exerted on block B is 20 N

Given that;

Mass of block = 2 kg

Acceleration = 10 m/s²

Find:

Gravitational force exerted on block B

Computation:

Gravitational force = ma

Gravitational force exerted on block B = Mass of block × Acceleration

Gravitational force exerted on block B = 2 × 10

Gravitational force exerted on block B = 20 N

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urgent please help. it’s kinematic equations

Answers

Answer:

Explanation:

Key Points

The four kinematic equations involve five kinematic variables:  

Each equation contains only four of the five variables and has a different one missing.

It is important to choose the equation that contains the three known variables and one unknown variable for each specific situation.

Answer:

A:

The displacement is 0 meters because it just moved back to its original position.

The distance traveled(in meters) is just the speed times the time, which is 18 m/s * 3600 s = 64800 meters.

B:

In this case, the displacement and the distance traveled are the same because the object didn't change direction.

The distance traveled(in meters) and the displacement is just the speed times the time, which is 16 m/s * 15 s = 240 meters.

C:

In this case, the displacement and the distance traveled are the same because the object didn't change direction.

We can use the equation (Final Velocity)^2 = (Initial Velocity)^2 + 2*Acceleration*Distance.

Now we can plug the known values: (5)^2 = (20)^2 + 2*(-4)*d, and now we solve for d: 25 = 400 + -8d -> -375 = -8d -> d = 46.875 meters.

D:

Again, in this case, the displacement and the distance traveled are the same because the object didn't change direction.

We can use the equation Distance = (Initial Velocity) * (Time) + 1/2 * (Acceleration) * (Time)^2.

Plugging in the values we know, we get d = 0*20 + 1/2*3.7*20^2 -> d = 740 meters.

E:

Again, in this case, the displacement and the distance traveled are the same because the object didn't change direction.

We can use the equation Distance = (Initial Velocity) * (Time) + 1/2 * (Acceleration) * (Time)^2.

Plugging in the values we know, we get d = 12*26 + 1/2*1.5*26^2 -> d = 819 meters.

If you have further questions please don't hesitate to ask.

I really hoped this helped you, and if it did, could you please consider giving me a brainliest? :)

A progressive wave equation is represented by y=Asin 2π(0.15t-0.1x). find the period​

Answers

Answer:

y=Asin 2π(0.15t-0.1x)

At some time t and coordinate x let  (0.15t-0.1x) = n  where n is an integer.

y will be zero

At a later time and the same value of x

(0.15(t + P)-0.1x) = n +1   where P is the period ;  y again will be zero

(0.15(t + P)-0.1x) = n +1

(0.15t-0.1x) = n

.015 P = 1        subtracting equations

P = 1 / .15 = 6.67 sec

#1 What materials is each part of the flashlight made of? (A flashlight will include wires,a light bulb,a lens, a reflector ,and an exterior casing.) #2 For each part,why was that material chosen? #3 For each part,would material have worked as well?

Answers

Explanation:

Question 1

1.The wires are made of conducting materials e.g copper

2. A light bulb is made of filament material e.g tungsten with gases enclosed in a glass material

3.The lens is made of transparent glass material

4 The reflector is made of plastic with silver lining

5. The exterior casing of most flash lights are made of plastic

Question 2.

1.Copper is used to conduct electric current from the battery to the bulb

2.The tungsten filament ignite the gases and causes it to glow

3. The lens covers the lamp on your flashlight so that the glass on the lamp

/bulbs does not get broken.

4.The reflector redirects the light rays from the lamp, creating a steady beam of light, which is the light you see emitting from the flashlight.

5. The exterior cases houses the entire assembly and makes the flash light handy for use

Carl buys 48 boxes of soda. how many cans did Carl buy if each box holds 12 cans of soda?

Answers

Answer:

576

Explanation:

48*12=576

hope this helps

You jump off a cliff and accelerate at 9.8 m/s ^ 2 due to gravity. How far do you fall in 4.0 seconds?

Answers

Answer:

According to my calculations you will fall untill you are stopped by an equal force

A student pulls a rope attached to a box of books and moves the box down the hall. The student pulls with a force of 185 N and an angle of 21.0° above the horizontal. The box has a mass of 45.0 kg and the coefficient of kinetic friction between the box and the floor is 0.27. Find the acceleration of the box.
1.2 m/s2
4.1 m/s2
2.8 m/s2
3.8 m/s2​

Answers

Answer:

wow that's a lot well.....

There are many forms of energy. All energy falls into one of two categories, either potential or kinetic energy. A Newton's Cradle, with the pendulums at different points along its path, involves kinetic energy being transformed into potential energy.
Use scientific reasoning to explain in detail how the kinetic is transformed into potential energy in the Newton's Cradle example. Be sure to explain the differences and similarities between kinetic and potential energy in your response.

Answers

Answer:

the difference is when object is in rest its potential when object is in motion its kenitic energy

The detail how the kinetic is transformed into potential energy in the Newton's Cradle example is discussed in the answer.

What is Newton's Cradle example?

The Newton's Cradle is an apparatus that uses spheres in motion to show how momentum and energy are conserved. One of the stationary spheres at the end is lifted and released, striking them and sending a force through them that forces the final sphere higher. In order to recreate the effect in the other way, the final sphere swings back and collides with the virtually stationary spheres.

In  Newton's Cradle, one or many balls have to rise at the staring. Tis provides potential energy. When the balls fall, this potential energy transfers into kinetic energy. When balls of  Newton's Cradle collides, kinetic energy transfers from one ball to another, that's why they moves simultaneously.

Learn more about Newton's Cradle example here:

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#SPJ2

Can someone help me, it will get 5 stars

Answers

Answer:

A. Increased self-esteem

Explanation:

I hope this helps :)

Billy Sue is speeding down a country road in his new monster truck at a constant 32 m/s when he goes over a hill and spots a cow standing in the middle of the road. The cow is 45m in front of him. If he reacts immediately upon viewing the cow, and his braking acceleration is 20 m/s 2 , can he stop in time to avoid hitting the cow?

Answers

Answer:

He won't stop on time, the distance his car traveled during the braking is greater than 45 m.

Explanation:

Given;

initial velocity of Billy's car, u = 32 m/s

his braking acceleration, -a = 20 m/s

his final velocity when the car stops, v = 0

Apply the following kinematic equation to determine the distance traveled by Billy's car during the braking acceleration;

v² = u² + 2as

0 = 32² + (2 x -9.8)s

0 = 32² - 19.6s

19.6s = 32²

s = (32²) / (19.6)

s = 52.25 m

The distance traveled is greater than 45 m, thus Billy's car will hit the cow.

How much force would you have to apply
to a 16kg box with in order to make it
accelerate at 4m/s??

Answers

Answer:

64

Explanation:

Can someone help me please step by step

Answers

Answer:

12 1/2 cups

Explanation:

first, figure out how many times twelve goes into 60 (5 times)

then multiply 2.5 by 5 for the correct serving size

2.5×5=12.5

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