a sphere with a radius of 8cm carries a uniform volume charge density of 1.5 find the magnitude of the electric field

Answers

Answer 1

Answer:

E = 5.65 x 10¹⁰ N/C

Explanation:

First we need to find the total charge on the sphere. So, we use the following formula for that purpose:

[tex]q = \sigma V\\[/tex]

where,

q = total charge on sphere

V = Volume of Sphere = [tex]\frac{4}{3} \pi r^3 = \frac{4}{3} \pi (0.08\ m)^3 = 0.335\ m^3[/tex]

σ = volume charge density = 1.5 C/m³

Therefore,

[tex]q = (0.335\ m^3)(1.5\ C/m^3) \\q = 0.502 C[/tex]

Now, we use the following formula to find the electric field due to this charged sphere:

[tex]E = \frac{kq}{r^2}[/tex]

where.

E  = Electric Field Magnitude = ?

k = Coulomb's Constant = 9 x 10⁹ N.m²/C²

r = radius of sphere = 8 cm = 0.08 m

Therefore,

[tex]E = \frac{(9\ x\ 10^9\ Nm^2/C^2)(0.502 C)}{(0.08\ m)^2}\\\\[/tex]

E = 5.65 x 10¹⁰ N/C


Related Questions

A 3 kg mass is travelling in a circle of 0.1 m radius with a speed of 2 m/s. What is the centripetal acceleration?

Answers

a = v² / R = (2 m/s)² / (0.1 m) = 40 m/s²

A cannonball is fired at a 45.0° angle and an initial velocity of 670 m/s. Assume no air resistance. What is the vertical component of the cannonball’s velocity? What is the horizontal component of the cannonball’s velocity?

473.8 m/s; 473.8 m/s
-525.2 m/s; 435.5 m/s
0 m/s; 670 m/s
-378 m/s; 378 m/s

Answers

Answer:

473.8 m/s; 473.8 m/s

Explanation:

Given the initial velocity U = 670m/s

Horizontal velocity Ux = Ucos theta

Vertical component of the cannon velocity Uy = Usin theta

Given

U = 670m/s

theta = 45°

horizontal component of the cannonball’s velocity = 670 cos 45

horizontal component of the cannonball’s velocity = 670(0.7071)

horizontal component of the cannonball’s velocity = 473.757m/s

Vertical component of the cannonball’s velocity = 670 sin 45

Vertical component of the cannonball’s velocity  = 670 (0.7071)

Vertical component of the cannonball’s velocity  = 473.757m/s

Hence pair of answer is 473.8 m/s; 473.8 m/s

Find the total current through this circuit

Answers

Answer:

I=0.02[amp]

Explanation:

Since the resistors are connected in series, we can find the total resistance.

[tex]Rt = 100 + 300+50\\Rt = 450[ohm][/tex]

Now we can use ohm's law which tells us that the voltage is equal to the product of resistance by the current.

[tex]V =I*R\\I=V/R\\I=9/450\\I=0.02[amp][/tex]

How do objects at rest and in motion respond in the presence of an external, unbalanced force?

Answers

Explanation:

Objects at rest and in motion respond to the presence of an external unbalanced force by simple changing their magnitude of motion or position.

We have this knowledge from Newtons first law of motion "a body will remain in a state of rest or continue with uniform motion unless if it is acted upon by an external force".

When an external force acts on a body at rest, it will change the position of the body or set it motion. For a body in motion, an external force can make they come to rest or change the motion of the body

What happens to liquid nitrogen when it gets warmer?​

Answers

Answer:

see below

Explanation:

 It boils (or evaporates)  and becomes gaseous nitrogen like water turns to water vapor when it gets warm enough

Heating up the liquid nitrogen comes into a boil, making the nitrogen gas again, when they liquid nitrogen gets warmer, it expands.

Which diagram shows how Rachel can see a candle flame?

Answers

Answer:

C

Explanation:

If the arrows represent light rays, then Rachel sees a candle flame when the light released by the flame is received by her eyes.

Diagram C shows how Rachel can see a candle flame.

What is an Image?

This is the visual representation of a substance and the organ responsible for this is the eye.

Images are formed through the eyes receiving light sensations and and relaying it to the brain for processing. The line is the light sensation which shows it being received by the eye therefore making option C the most appropriate option.

Read more about Image here https://brainly.com/question/25938417

Which one of the following statements contain a simile?

Answers

do u have the statements ?

Answer:

I don't know if its just me, but I don't see the statements so I'm not sure how to help answer your question.

A rock from a volcanic eruption is launched straight up into the air with no appreciable resistance Which one of the following statements about this rock while it is in the air is correct

Answers

The volcanic ash is making the volcano from the magma chamber making liquid form making the ash

what kind of law of motion A car still moves for a short period even after the brakes

have been applied.​

Answers

Answer:

inertia of motion

Explanation:

.... ...

The illustration shows a roller coaster and indicates four different positions the car might be at as it moves along the track. Identify at which point in the roller coaster's journey does it have the least potential energy and explain why. w​

Answers

Answer:

I got this question on Ap3x. The answer is Car C...I got it correct

Explanation:

This is because Car C is at the lowest point with the lowest amount of potential energy. Potential energy is stored at it's highest when it has the "potential" to fall, move, or etc. Car C seems to have gone farther down from the high point of the slope, meaning that most of the potential energy transformed into kinetic energy. All in all, Car C has the least potential energy. (Please give Brainliest, or not...your choice but this is the first question that I answered)

a train traveling at 48 m/s begins to slow down as it approaches a bend in the tracks. if it travels around the bend at a speed of 14 m/s and it takes 40 seconds to properly slow down what is the acceleration acting on the train during this time?

Answers

Answer:

The acceleration acting on the train during this

time of travel is 0.85m/s²

HOW TO CALCULATE ACCELERATION:

• The acceleration of a moving body can be calculated by using the formula below:

a = (v - u)/t

Where;

1. a = acceleration (m/s²)

2. v = final velocity (m/s) 3. u = initial velocity (m/s)

4. t = time (s)

According to this question, a = ?, v = 48m/s, u = 14m/s, t = 40s.

= (48 - 14)/40 a=

• a = 34/40

• a = 0.85m/s²

Therefore, the acceleration acting on the train during this time of travel is 0.85m/s².

Hope this helps!

Don't forget to mark me as Brainliest.

What is the gravitational force between two identical 5000 kg asteroids whose centers of mass are separated by 100 m?

Answers

Answer: 1.67 x 10^-7N

Explanation:

Uranium-235 undergoes fission, forming krypton-92, barium-141, and 3
neutrons. The mass of the uranium-235 is greater than the total mass of the
products. Which statement explains this difference in mass?
A. Some of the mass was transformed into neutrons during the
process.
O B. Mass was destroyed and disappeared during the process.
C. Some of the mass was transformed into gases during the
process.
D. Mass was transformed into energy during the process.

Answers

Answer:

C

Explanation:

Some of the mass

Answer:

D. Mass was transformed into energy during the process.

A projectile is fired vertically from Earth's surface with an initial speed of 3.1 km/s. Neglecting air drag, how far above the surface of Earth will it go

Answers

Answer:

The maximum height reached by the projectile is 490.31 km.

Explanation:

Given;

initial velocity of the projectile, u = 3.1 km/s = 3100 m/s

acceleration due to gravity, g = 9.8 m/s²

The maximum height reached by the projectile is calculated as;

v² = u² - 2gh

where;

v is the final velocity of the projectile at maximum height = 0

h is the maximum height reached by the projectile

0 = u² - 2gh

2gh = u²

h = u² / 2g

h = (3100²) / (2 x 9.8)

h = 490306.122 m

h = 490.31 km

Therefore, the maximum height reached by the projectile is 490.31 km.

Point charges are located at 3, 8, and 11 cm along the x-axis(+q, -2q, +q). What is the x-component of the force on the charge located at x=8 cm given that q=1.15nc?

Answers

Answer:

Approximately [tex]1.69 \times 10^{-23}\; {\rm N}[/tex].

Explanation:

Look up the value of Coulomb's Constant: [tex]k \approx 8.988 \times 10^{-9}\; {\rm N \cdot m^{2} \cdot C^{-2}}[/tex].

Consider point charges of magnitude [tex]q_{1}[/tex] and [tex]q_{2}[/tex]. If the distance between these charges is [tex]r[/tex], the magnitude of the electrostatic force between them would be [tex](k\, q_{1}\, q_{2}) / (r^{2})[/tex].

In this question, the two [tex](+q)[/tex] charges are [tex]5\; {\rm cm}[/tex] and [tex]3\; {\rm cm}[/tex] away from the center [tex](-2\, q)[/tex] charge, respectively. Convert units to standard unit of distance (meters, [tex]{\rm m}[/tex]) and charge (coulombs, [tex]{\rm C}[/tex]):

[tex]q = 1.15 \; {\rm nC} = 1.15 \times 10^{-9}\; {\rm C}[/tex].

[tex]\begin{aligned} 5\; {\rm cm} = 5\; {\rm cm} \times \frac{1\; {\rm m}}{100\; {\rm cm}} = 0.05\; {\rm m} \end{aligned}[/tex].

[tex]\begin{aligned} 3\; {\rm cm} = 3\; {\rm cm} \times \frac{1\; {\rm m}}{100\; {\rm cm}} = 0.03\; {\rm m} \end{aligned}[/tex].

The magnitude of the electrostatic forces on the [tex](-2\, q)[/tex] charge would be:

[tex]\begin{aligned}\frac{k\, q_{1}\, q_{2}}{r^{2}} &\approx \frac{1}{(0.05\; {\rm m})^{2}} \\ &\quad \times (8.988 \times 10^{-9}\; {\rm N \cdot m^{2} \cdot C^{-2}})\\ &\quad \times ((-2) \, (1.15\times 10^{-9}\; {\rm C}))\, (1.15\times 10^{-9}\; {\rm C})) \\ &\approx 9.509\times 10^{-24}\; {\rm N}\end{aligned}[/tex].

[tex]\begin{aligned}\frac{k\, q_{1}\, q_{2}}{r^{2}} &\approx \frac{1}{(0.03\; {\rm m})^{2}} \\ &\quad \times (8.988 \times 10^{-9}\; {\rm N \cdot m^{2} \cdot C^{-2}})\\ &\quad \times ((-2) \, (1.15\times 10^{-9}\; {\rm C}))\, (1.15\times 10^{-9}\; {\rm C})) \\ &\approx 2.641\times 10^{-23}\; {\rm N}\end{aligned}[/tex].

Since the charges are of opposite sign, the [tex](-2\, q)[/tex] charge would attract both of the [tex](+q)[/tex] charges. In particular, the (approximately) [tex]9.509\times 10^{-24}\; {\rm N}[/tex] force would point to the left. The (approximately) [tex]2.641 \times 10^{-23}\; {\rm N}[/tex] force would point to the right.

As a result, the net force on the [tex](-2\, q)[/tex] charge would point to the right. The magnitude of the net force on this charge would be approximately [tex]2.641 \times 10^{-23}\; {\rm N} - 9.509\times 10^{-24}\; {\rm N} \approx 1.69 \times 10^{-23}\; {\rm N}[/tex].

if a block weight 60N and is lying on a side with area 2m by 3m. what is the pressure exerted on the surface?​

Answers

Answer:

10 Pa

Explanation:

Pressure is defined as force per unit area.

Mathematically, P= F/A where  P is pressure, F is force and A is area.

Force, F = 60 N

Area, A = 2*3 = 6m²

P = 60/6 = 10 Pa

After concluding his research, which statements would Virchow agree with? Check all that apply.

O Living things come from nonliving things.

Cells can come from nonliving materials.

Frogs can come from mud.

O Living things can only
comeyom living things.

Cells come from pre-existing cells.

Answers

Answer:

A Living things can only come from living things.

B Cells come from pre-existing cells.

Explanation:

sorry if wrong e d g e 2022

Answer: D,E

Explanation:

I JUST TOOK IT

I'm getting conflicting information on brainly about this question. It's either fly-by or GPS satellites...


What constitute the most common way that images of space are captured?


A. Fly-by missions


B. Drones landing on planets


C. GPS satellites in Earth's orbit


D. Astronauts visiting the
international space center

Answers

Answer:

C

Explanation:

GPS satellites in Earth's orbit constitute the most common way that images of space are captured.

I hope this helps! And this is the real answer.

i think the answer is c

During a group project, two students constructed a simple machine to add to their Rube Goldberg project. They were told to create one that demonstrates the concept of force-distance tradeoff. One student created model A and the other students created model B.


image



Using the CER method, which model best demonstrates the force-distance tradeoff and why?

Answers

Answer:

Image B

Explanation:

although I'm not exactly sure, i've recently gotten this question as well. but model B demonstrates the force- distance trade off because you can see how in that image them distance is increased in the force is decreased with the object being shorter. hopefully this helps in some way

A 100 g ball collides elastically with a 300 g ball that is at rest. If the 100 g ball was traveling
in the positive x-direction at 6.20 m/s before the
collision, what are the velocities of the two
balls after the collision?

Answers

Answer:

The magnitude of the velocities of the two balls after the collision is 3.1 m/s (each one).

Explanation:

We can find the velocity of the two balls after the collision by conservation of linear momentum and energy:

[tex] P_{1} = P_{2} [/tex]

[tex] m_{1}v_{1_{i}} + m_{2}v_{2_{i}} = m_{1}v_{1_{f}} + m_{2}v_{2_{f}} [/tex]

Where:

m₁: is the mass of the ball 1 = 100 g = 0.1 kg

m₂: is the mass of the ball 2 = 300 g = 0.3 kg

[tex]v_{1_{i}}[/tex]: is the initial velocity of the ball 1 = 6.20 m/s

[tex]v_{2_{i}}[/tex]: is the initial velocity of the ball 2 = 0 (it is at rest)

[tex]v_{1_{f}}[/tex]: is the final velocity of the ball 1 =?

[tex]v_{2_{f}}[/tex]: is the initial velocity of the ball 2 =?

[tex] m_{1}v_{1_{i}} = m_{1}v_{1_{f}} + m_{2}v_{2_{f}} [/tex]

[tex] v_{1_{f}} = v_{1_{i}} - \frac{m_{2}v_{2_{f}}}{m_{1}} [/tex] (1)        

Now, by conservation of kinetic energy (since they collide elastically):

[tex] \frac{1}{2}m_{1}v_{1_{i}}^{2} = \frac{1}{2}m_{1}v_{1_{f}}^{2} + \frac{1}{2}m_{2}v_{2_{f}}^{2} [/tex]          

[tex] m_{1}v_{1_{i}}^{2} = m_{1}v_{1_{f}}^{2} + m_{2}v_{2_{f}}^{2} [/tex]  (2)

By entering equation (1) into (2) we have:

[tex] m_{1}v_{1_{i}}^{2} = m_{1}(v_{1_{i}} - \frac{m_{2}v_{2_{f}}}{m_{1}})^{2} + m_{2}v_{2_{f}}^{2} [/tex]    

[tex] 0.1 kg*(6.20 m/s)^{2} = 0.1 kg*(6.2 m/s - \frac{0.3 kg*v_{2_{f}}}{0.1 kg})^{2} + 0.3 kg(v_{2_{f}})^{2} [/tex]            

By solving the above equation for [tex]v_{2_{f}}[/tex]:

[tex]v_{2_{f}} = 3.1 m/s [/tex]

Now, [tex]v_{1_{f}}[/tex] can be calculated with equation (1):

[tex] v_{1_{f}} = 6.20 m/s - \frac{0.3 kg*3.1 m/s}{0.1 kg} = -3.1 m/s [/tex]

The minus sign of [tex] v_{1_{f}}[/tex] means that the ball 1 (100g) is moving in the negative x-direction after the collision.

Therefore, the magnitude of the velocities of the two balls after the collision is 3.1 m/s (each one).

I hope it helps you!                  

A supersonic aircraft flies at 3 km altitude at a speed of 1000 m/s on a standard day. How long after passing directly above a ground observer is the sound of the aircraft heard by the ground observer

Answers

Answer:

After 3seconds

Explanation:

A supersonic aircraft flies at 3 km altitude at a speed of 1000 m/s on a standard day. How long after passing directly above a ground observer is the sound of the aircraft heard by the ground observer

Using the formula for calculating speed expressed as;

Speed = Distance/Time

Given;

Distance = 3km = 3000m

Speed = 1000m/s

Required

How long after passing directly above a ground observer is the sound of the aircraft heard by the ground observer (Time)

From the formula;

Time = Distance/speed

Time = 3000/1000

Time = 3seconds

Hence the sound of the aircraft is heard after 3 seconds

• The net force acting on an object equals the applied force plus the force of friction.

True or False

Answers

Answer:

false

Explanation:

ke sath hi hai j clin oncol biol to u h

3. If an x-ray imaging system is operated at 800 mA, 2000 ms, the total
mAs will be?

Answers

569






Hdhehdhdndnjdnxhejehrhdhhdhdud

as an object falls a greater distance, does the speed at which it is falling increase or decrease

Answers

Answer:

Increase

Explanation:

If an object is falling for a greater distance, it will gain momentum and speed up.

Mistakes were made" is a classic passive voice confession. President Ronald Reagan famously said "mistakes were made" by his administration during the Iran Contra scandal. But some people said he wasn't directly taking the blame. This is why some writers choose to use the passive voice. It can sidestep the question of who did something.

Based on this passage, a writer may use the passive voice to

A
give the reader all known information about a criminal and his or her crimes.

B
clarify the person who was responsible for a crime.

C
describe a crime without blaming anyone for committing it.

D
take responsibility for committing a crime.

Answers

I believe the answer is C. If it isn’t then it is B. But I would go with C

0.0884 moles of a diatomic gas
are in a piston. When the piston
is compressed, the temperature
drops by 18.8 K, and 83.7 J of
heat flow out. Find W.
(Be careful with + and - signs.
+W = expansion, +Q = added,
+AU = temp goes up)
(Unit = J)

Answers

Answer:

W = - 118.24 J (negative sign shows that work is done on piston)

Explanation:

First, we find the change in internal energy of the diatomic gas by using the following formula:

[tex]\Delta\ U = nC_{v}\Delta\ T[/tex]

where,

ΔU = Change in internal energy of gas = ?

n = no. of moles of gas = 0.0884 mole

Cv = Molar Specific Heat at constant volume = 5R/2 (for diatomic gases)

Cv = 5(8.314 J/mol.K)/2 = 20.785 J/mol.K

ΔT = Rise in Temperature = 18.8 K

Therefore,

[tex]\Delta\ U = (0.0884\ moles)(20.785\ J/mol.K)(18.8\ K)\\\Delta\ U = 34.54\ J[/tex]

Now, we can apply First Law of Thermodynamics as follows:

[tex]\Delta\ Q = \Delta\ U + W[/tex]

where,

ΔQ = Heat flow = - 83.7 J (negative sign due to outflow)

W = Work done = ?

Therefore,

[tex]-83.7\ J = 34.54\ J + W\\W = -83.7\ J - 34.54\ J\\[/tex]

W = - 118.24 J (negative sign shows that work is done on piston)

Answer:

-49.2

Explanation:

Trust me bro

A circular parallel plate capacitor is constructed with a radius of 0.52 mm, a plate separation of 0.013 mm, and filled with an insulating material with dielectric constant of 40. If a potential is applied to this device of 2.0 mV, how much charge will accumulate on this capacitor, in terms of the number of charge carriers?

Answers

Answer:

289282

Explanation:

r = Radius of plate = 0.52 mm

d = Plate separation = 0.013 mm

A = Area = [tex]\pi r^2[/tex]

V = Potential applied = 2 mV

k = Dielectric constant = 40

[tex]\epsilon_0[/tex] = Electric constant = [tex]8.854\times 10^{-12}\ \text{F/m}[/tex]

Capacitance is given by

[tex]C=\dfrac{k\epsilon_0A}{d}[/tex]

Charge is given by

[tex]Q=CV\\\Rightarrow Q=\dfrac{k\epsilon_0AV}{d}\\\Rightarrow Q=\dfrac{40\times 8.854\times 10^{-12}\times\pi \times (0.52\times 10^{-3})^2\times 2\times 10^{-3}}{0.013\times 10^{-3}}\\\Rightarrow Q=4.6285\times 10^{-14}\ \text{C}[/tex]

Number of electron is given by

[tex]n=\dfrac{Q}{e}\\\Rightarrow n=\dfrac{4.6285\times 10^{-14}}{1.6\times10^{-19}}\\\Rightarrow n=289281.25\ \text{electrons}[/tex]

The number of charge carriers that will accumulate on this capacitor is approximately 289282.

I need help with magnitudes of net force

Answers

since both forces are equal and are in opposite directions, Fnet would be 0

derivative equation of F = kx

Answers

Given that,

The equation is "F=kx"

To find,

The derivative equation.

Solution,

We are given with the given equation which is as follows :

F = kx ...(1)

Where, F is force, k is spring constant and x is distance covered by the spring

Differentiate equation (1) wrt x.

[tex]\dfrac{dF}{dx}=\dfrac{d}{dx}(kx)\\\\\dfrac{dF}{dx}=k[/tex]

As k is constant.

Hence, this is the required solution.

Indentify the following types of reflection.

Answers

Answer:

first is regular reflection and 2nd is irregular

Other Questions
What is the standard form of what is the sum of 5x and 9x Let f(x) = x^2 + 2 and g(x) = -3. Find f(x) g(x).A. X^3-6x^2+12x-6B. X^3-5x^2+8x-6C. X^3-3x^2+6x-6D. X^3-2x^2+5x-6 FOR 100 points!!!!!!!!Read the excerpt from "The Crab That Played with the Sea.Was that well done? said the Eldest Magician.Yes, said the Man. But now we must go back to Perak, and that is a weary way to paddle. If we had waited till Pau Amma had gone out of Pusat Tasek and come home, the water would have carried us there by itself.You are lazy, said the Eldest Magician. So your children shall be lazy. They shall be the laziest people in the world. They shall be called the Malazythe lazy people; and he held up his finger to the Moon and said, O Fisherman, here is the Man too lazy to row home. Pull his canoe home with your line, Fisherman.No, said the Man. If I am to be lazy all my days, let the Sea work for me twice a day for ever. That will save paddling.And the Eldest Magician laughed and said, Payah kun (That is right).And the Rat of the Moon stopped biting the line; and the Fisherman let his line down till it touched the Sea, and he pulled the whole deep Sea along, past the Island of Bintang, past Singapore, past Malacca, past Selangor, till the canoe whirled into the mouth of the Perak River again. Kun? said the Fisherman of the Moon.Payah kun, said the Eldest Magician. See now that you pull the Sea twice a day and twice a night for ever, so that the Malazy fishermen may be saved paddling. But be careful not to do it too hard, or I shall make a magic on you as I did to Pau Amma.Then they all went up the Perak River and went to bed, Best Beloved.From that day to this the Moon has always pulled the sea up and down and made what we call the tides. Sometimes the Fisher of the Sea pulls a little too hard, and then we get spring tides; and sometimes he pulls a little too softly, and then we get what are called neap-tides; but nearly always he is careful, because of the Eldest Magician.Which conclusion about the Eldest Magician does this excerpt support?The Eldest Magician has a good sense of humor.The Eldest Magician does not like human beings.The Eldest Magician likes to order people around.The Eldest Magician is insecure and needs approval. who is know as father of computer what types of networks allowed for the exchange of goods and ideas between our early foraging ancestors? A food manufacturer donates money to schools based on the number ofits product labels the school collects. The students at one school collected2,100 product labels in three months. The number of labels collected in thefirst two months was three times the number of labels collected in the thircmonth. How many product labels were collected in the third month? A) The derivative of f(x) = 6x ^ 2 is given by f^ prime (x)=lim h>0 ________=____.B) The derivative of f(x) = 2x ^ 2 - 7x + 8 is given by f () lim h->______=____. Managing for competitive advantage, information technology, and diversity represent key. what were the historical reasons for the resistance to recognizing airborne transmission during the covid-19 pandemic? what are some questions the nurse should ask herself before accepting this assignment? include your rationale. (i) What happens to the magnitude of the magnetic field inside a long solenoid if the current is doubled? (a) It becomes four times larger. (b) It becomes twice as large. (c) It is unchanged. (d) It becomes one-half as large. 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Please help!What was Accent Egypt's government like. which processes does the central dogma rule out? group of answer choices making rna or dna from protein making protein directly from dna without an rna intermediate making rna from dna a and b b and c What Enlightenment idea is Thomas Paine mostsupporting?O Natural rights should be protected.O People need an authoritarian government.A government's power comes from the people.O People have a social contract with theirgovernment. Sally is running laps around a track. She runs 12 laps to warm up. Then she runs 13 laps.How many laps does Sally run in all? Move numbers to the boxes to show the answer. What type of pattern should be used when tightening lug nuts? What has to be done to nitrogen to make it turn into a liquid?