A hollow, uniformly charged sphere has an inner radius of r1 = 0.105 m and an outer radius of r2 = 0.31 m. The sphere has a net charge of Q = 1.9 μC. What is the magnitude of the electric field, in newtons per coulomb, at a distance of r = 0.17 m from the center of the sphere?

Answers

Answer 1

Answer:

E = 77532.42N/C

Explanation:

In order to find the magnitude of the electric field for a point that is in between the inner radius and outer radius, you take into account the Gauss' law for the electric flux trough a spherical surface with radius r:

[tex]\int E\cdot dS=\frac{Q}{\epsilon_o}[/tex]       (1)

Q: net charge of the hollow sphere = 1.9*10-6C

ε0: dielectric permittivity of vacuum = 8.85*10^-12 C^2/Nm^2

Furthermore, you have that the net charge contained in a sphere of radius r is:

[tex]Q=\rho V=\rho \frac{4\pi (r^3-r_1^3)}{3}[/tex]      (2)

with the charge density is:

[tex]\rho=\frac{Q}{\frac{4}{3}\pi(r_2^3-r_1^3)}[/tex]          (3)

r2: outer radius = 0.31m

r1: inner radius = 0.105m

The electric field trough the Gaussian surface is parallel to the normal to the surface, the, you have in the integral of the equation (1):

[tex]\int E\cdot dS=E(4\pi r^2)[/tex]      (4)

where you have used the expression for a surface of a sphere.

Next, you replace the expressions of equations (2), (3) and (4) in the equation (1) and solve for E:

[tex]E(4\pi r^2)=\frac{1}{\epsilon_o}\frac{Q}{\frac{4}{3}\pi(r_2^3-r_1^3)}(\frac{4\pi (r^3-r_1^3)}{3})\\\\E=\frac{1}{\epsilon_o}\frac{Q(r^3-r_1^3)}{4\pi r^2(r_2^3-r_1^3)}[/tex]

you replace the values of all parameters, and with r = 0.17m

[tex]E=\frac{(1.6*10^{-6}C)((0.17m)^3-(0.105m)^3)}{4\pi(8.85*10^{-12}C^2/Nm^2)(0.17m)^2((0.31m)^3-(0.105m)^3)}\\\\E=77532.42\frac{N}{C}[/tex]

The magnitude of the electric field at a distance r=0.17m to the center of the hollow sphere is 77532.42N/C


Related Questions

The frequency of which type of electromagnetic wave is just higher than that of radio waves? Infrared rays Ultraviolet rays X-rays Microwaves Gamma rays

Answers

Gamma-rays, the explanation and information is found in the image below.

Answer: gamma rays

Explanation:

A 51-kg woman runs up a vertical flight of stairs in 5.0 s. Her net upward displacement is 5.0 m. Approximately, what average power did the woman exert while she was running?

Answers

Answer:

The average power the woman exerts is 0.5 kW

Explanation:

We note that power, P = The rate at which work is done = Work/Time

Work = Energy

The total work done is the potential energy gained which is the energy due to vertical displacement

Given that the vertical displacement = 5.0 m, we have

Total work done = Potential energy gained = Mass, m × Acceleration due to gravity, g × Vertical height, h

m = 51 kg

g = Constant = 9.81 m/s²

h = 5.0 m

Also, time, t = 5.0 s

Total work done = 51 kg × 9.81 m/s²× 5 m = 2501.55 kg·m²/s² = 2501.55 J

P = 2501.55 J/(5 s) = 500.31 J/s = 500.31 W ≈ 500 W = 0.5 kW.

Which option describes a phase change

Answers

Answer:

b. Gasloine evaporating into the air

I tryed to answer

it would be gasoline because evaporation is occurring

What do you feel when you hold your hand near a glowing fire or an electric heater?

Answers

Answer:

The heats radiation.

Explanation:

When placing your hand close to a fire or electric heater, you can feel the warmth of the object. Pull your hand away from it, it'll be cooler.

Answer:

The radiation of heat

Explanation:

Ethan made a diagram to compare examples of the first and second laws of thermodynamics. What belongs in the areas marked X and Y?
X: The internal energy of a piston system increases
as heat is added and rises to a cool area
Y: As thermal energy is added to a container, some
of the energy is lost to the environment
X: As thermal energy is added to a container, some
of the energy is lost to the environment
Y: The internal energy of a piston system increases
as heat is added and rises to a cool area
X: A cold spoon placed in hot liquid gets warmer
Y: Thermal energy is converted to light energy
X: Thermal energy is converted to light energy
Y: A cold spoon placed in hot liquid gets warmer

Answers

Answer:

D: X: Thermal energy is converted to light energy

Y: A cold spoon placed in hot liquid gets warmer

Explanation:

j took the quiz

The first and second laws of thermodynamics are used to describe the process of heat transfer.

What are the laws of thermodynamics?

The laws of thermodynamics are laws that show the transfer of heat energy there are three laws of thermodynamics that guide heat transfer.

From the statements of the first and second laws of thermodynamics, the statements that fit into the circles are;

X: Thermal energy is converted to light energy

Y: A cold spoon placed in hot liquid gets warmer

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Which point is labeled in the scatterplot below?​

Answers

It’s look like (8,3)

plZ help !!
plz answer correctly!
will give the brainliest!!​

Answers

Answer:

Explanation:

I-V graph always represent a straight line

What causes the particles within the nucleus of an atom to bond together? Question 12 options: electromagnetism gravity weak nuclear force strong nuclear force

Answers

Answer:

Strong nuclear force

Explanation:

The particles in the atom's nucleus bond together because there is a strong nuclear force between the protons and neutrons that attracts them to each other and binds together the nucleus.

The answer is a strong nuclear force

Reason why: The particles bond together because of the strong nuclear force between the neurons and protons

Which of the following is an example of a primary source?
A. A dictionary definition of a science term
B. An article written by a scientist
C. A textbook written by a scientist
D. An encyclopedia entry about an experiment

Answers

Answer:

i think its no c.

a textbook written by a scientist. because its a first hand data.

An article written by a scientist is an example of a primary source. The correct option is option (B).

A primary source refers to an original, firsthand account or direct evidence of an event, topic, or research. It is created by individuals who directly participated in or witnessed the subject matter. An article written by a scientist would be considered a primary source as it typically presents the researcher's own observations, experiments, methodology, and conclusions.

It provides direct access to the original research and findings, making it an important source for scholarly and scientific purposes. In contrast, options A, C, and D are secondary sources that provide interpretations or summaries of information from primary sources.

Therefore, The correct option is an option (B).

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A straight wire carrying a current of 7.2 A has a field of 8.9 10–3 T at right angles to it. What length of wire in the field will experience a force of 2.1 N? 2.6 10–3 m 3.1 10–1 m 1.3 10–1 m 3.3 101 m

Answers

Answer:

33.18m

Explanation:

the length is 3.3 x 10^1m

Answer:

3.3x10^1m

Explanation:

F=LIBsinθ

Force F= 2.1N

Length L = unknown

Current I= 7.2A

Magnetic field B = 8.9x10^-3

sinθ = sin90° = 1 (because the field is at right angles to the wire)

2.1 = L (7.2)(8.9x10^-3)(1)

L = 32.77m

= 3.3x10^1m

Which explains the operation of a hydraulic lift system? A. Archimedes' principle B. Pascal's principle C. Newton's principle D. Bernoulli's principle

Answers

Answer: B. Pascal's principle

This is the idea where you compress a liquid on one end of a tube (more or less), and the liquid's pressure is transmitted to the other end to help lift a heavy object. Often the compressing force is downward to take advantage of gravity.

An object moving north with an initial velocity of 14 m/s accelerates 5 m/s2 for 20 seconds. What is the final velocity of the object? 39 m/s 90 m/s 114 m/s 414 m/s

Answers

Answer:

Final velocity of the object(v) = 114 m/s

Explanation:

Given:

Initial velocity (u) = 14 m/s

Accelerates (a) = 5 m/s²

Time taken = 20 seconds

Find:

Final velocity of the object(v) = ?

Computation:

According to 1st law of motion.

⇒ v = u +at

⇒ v = 14 + (5)(20)

⇒ v = 14 + 100

⇒ v = 114 m/s

Final velocity of the object(v) = 114 m/s

Which answer best describes the scientific method?
A. An experiment that has no independent variables
o
B. Ten steps that are followed in a certain order
C. The basic categories for five processes that scientists use
D. The exact order of steps used in every experiment
SUBMIT

Answers

Answer:

D. The exact order of steps used in every experiment

Explanation:

since the scientific meathod is a process of exact steps used to create an experiment this would be the closest answer

Answer:

C. The basic categories for five processes that scientists use

A metallic rod has a length 1.5m and a diameter 0.2 cm. The rod carries a current of 5A

when a p.d of 75V is applied between its ends.

(a) Find the current density in the rod.

(b) Calculate the magnitude of the electric field applied to the rod.

(c) Calculate the resistivity and conductivity of the material of the rod.​

Answers

Answer:

Explanation:

Current density J = i / A where i is current and A is cross sectional area

J = 5 / π x ( .1 x 10⁻² )²

= 1.6 x 10⁶ A / m²

b )

electric field applied E = V / l where V is potential difference and l is lemgth of rod

E = 75 / 1.5

= 50 v / m

c )

J = σ E

J is current density , σ is conductivity and E is electric field .

1.6 x 10⁶ = σ  x 50

σ = 3.2 x 10⁴ Ω⁻¹ m⁻¹

Resistivity = 1 / σ

= 1 / 3.2 x 10⁴

= .3125 x 10⁻⁴

=3.125 x 10⁻⁵  Ω m

Please help me in this question!! There is NO picture fo this question! In a physics lab, 0.30 kg puck A, moving at 5.0 m/s [W], undergoes a collision with 0.40 kg puck B, which is initially at rest. Puck A moves off at 4.2 m/s [W 30° N]. Find the final velocity of puck B.

Answers

I belive it’s 4.2 at the top of my head

If you try opening a door by pushing too close to the side where the hinges are, you may find it difficult to push open. Suppose you are trying to open a door that is 75 cm wide. (Hint: To solve this one, remember the example problem in the lesson about the MA of the broom). a. If you push on the door at a point 15 cm away from the hinges, what is the mechanical advantage? b. What is the best mechanical advantage that you can obtain for any door that you simply push open? Your answer:

Answers

Answer:

a) Mechanical advantage is 0.2

b) maximum obtainable mechanical advantage is 1

Explanation:

The opening of the door is only possible when a force is used to push the door, by generating a torque on the door around the hinge.

Since the door is 75 cm wide, torque generated will be the product of the force applied and the width of the door.

torque = F x 75 = 75F

If the door was pushed at point on the door 15 cm from the hinges, the torque that will be generated will be

torque = F x 15 = 15F

a)The mechanical advantage MA is therefore

MA = 15/75 = 0.2

b) The best mechanical advantage that can be obtained from when you simply push it open is 1

From the case above, if we assume we push it at its maximum width from the hinge, then

MA = 75/75 = 1

20. Which of the following ray diagrams is correct?

Answers

Explanation:

The second one is the correct answer

The third one is correct

In the demolition of an old building, a 1,300 kg wrecking ball hits the building at 1.07 m/s2. Calculate the amount of force at which the wrecking ball strikes the building. The wrecking ball strikes the building with a force of N.

Answers

Answer: F = 1391 N

Explanation:

The information given to you are:

Mass M = 1300 kg

Acceleration a = 1.07 m/s^2

The magnitude of the force striking the building will be

F = ma

Where

F = force

Substitute mass M and acceleration a into the formula

F = 1300 × 1.07

F = 1391 N

Therefore, the wrecking ball strikes the building with a force of 1391 N

A deep-space satellite is sent to orbit a distant planet with unknown mass. On
arrival, the satellite begins its orbit and measures a gravitational pull from the
planet of 620 N. If the satellite has a mass of 450 kg and orbits the planet at a
radius of 4.0 x 10^6m, what is the approximate mass of the planet?(recall that G=6.7x10^-11 N•m2/kg^2.)

Answers

Answer:

The mass of the planet is [tex]3.29\times 10^{23}\ kg[/tex].

Explanation:

Given that,

The gravitational pull on the planet is 620 N

Mass of a satellite is, m₁ = 450 kg

Radius of a planet is [tex]4\times 10^6\ m[/tex]

We need to find the mass of the planet. Gravitational force is given by :

[tex]F=\dfrac{Gm_1m_2}{r^2}[/tex][tex]m_2[/tex] is the mass of the planet

[tex]m_2=\dfrac{Fr^2}{Gm_1}\\\\m_2=\dfrac{620\times (4\times 10^6)^2}{6.7\times 10^{-11}\times 450}\\\\m_2=3.29\times 10^{23}\ kg[/tex]

So, the mass of the planet is [tex]3.29\times 10^{23}\ kg[/tex].

Part 1: Research hurricane trends for the time periods 1995-2004 and 2005-2014. Use your research to answer the following questions.

A. What was the average number of tropical storms per season for the time period 1995-2004?

B. What was the average number of hurricanes per season for the time period 1995-2004?

Answers

Answer:

A. 1.3 per season

B. 0.77 per season

Explanation:

In the organisation's website, the National Oceanic and Atmospheric Administration, NOAA, in 2004 stated that, since 1995, there has been an increase (above average) in the Atlantic ocean's tropical clone activity corresponding to the multi-decadal oscillation's active phase

That since 1995 there has been 13 tropical storm  and 7.7 hurricanes

Therefore;

Since the number of years between 1995 and 2004 = 10 Years, we have;

A, The average number of tropical storm per, season = 13/10 = 1.3 per season

B. The average number of hurricane, per season = 7.7/10 = 0.77 per season.

48:09 Which best describes the first law of thermodynamics as compared to the second law of thermodynamics? The first law describes how thermal energy is conserved but not the direction it moves. The first law describes the direction thermal energy moves but not how it is conserved. The first law describes how thermal energy can be created but not how it can be destroyed. The first law describes how thermal energy can be destroyed but not how it can be created.

Answers

Answer:

A). The first law describes how thermal energy is conserved but not the direction it moves.

Explanation:

Thermodynamics is demonstrated as the branch of physics that deals with the associations or relationships between heat and other energy forms like mechanical, chemical, and electrical).

As per the question, the first law discusses that heat is a kind or form of energy and thus, processes associated with thermodynamics are subject to energy conservation principle. Therefore, heat energy can neither be destroyed nor created but rather transferred to one place to another and converted to and from other energy forms.

Thus, the first law of thermodynamics is distinct from the second law as 'the former describes how thermal energy can be conserved to and from other forms of energy and not the direction in which it moves' while the second law focuses on entropy. Therefore, option A is the correct answer.

The first law of thermodynamics describes the conservation of heat energy but not the direction it moves. Option A correct.

 

First law of Thermodynamics:

It states that the energy cannot be produced or destroyed it just change from one form to another.

Heat is a form of energy and thus, follow the energy conservation principle. So, heat can be change into mechanical energy.

The second law describe the direction of movement of heat.

Therefore, option A is the correct answer.

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Which shows a decrease in fluid pressure? A. Water in a creek slows down as it enters a slow-moving river. B. Oxygen is compressed as it is put into a pressurized tank. C. A river speeds up when it moves into a narrower channel. D. A fan is turned on high speed to low speed.

Answers

Answer:

Option D.

A fan is turned from high speed to low speed.

Explanation:

It is important to note that air is also a fluid.

In a system, static pressure of air increases with the speed of rotation of the fan. This is because when the speed of the fan is increased, the force with which it is pushing the air molecules is increased. Since pressure is a relationship between force and area, the pressure of the air molecules will be increased.

Conversely, when the speed of the fan is reduced, the priming force on the air molecules will be reduced, hence the pressure of the air will drop.

This makes option D the correct option

Answer:

A

Explanation

Becasue the water level is decreasing

A lens is used to make an image of magnification -1.50. The image is 30.0 cm from the lens. What is the object’s distance (unit=cm)?

Answers

Answer: Object distance is : 20cm

Explanation:

Given the following :

Magnification (m) = - 1.50

Image Distance from lens (v) = 30cm

Calculate the object distance (u) :

Recall:

Magnification = - [image distance (v) / object distance (u)]

Therefore, Inputting our values :

-1.50 = - (30 / u)

1.50 * u = 30

u = 30 / 1.50

u = 20 cm

Answer:

20 cm

Explanation:

acellus

Which of the following elements are in this chemical reaction: Zn (s) + HCl (9) → ZnCl2 (s) + H2 ?
Multiple answers
Α. Η
B. CI
C. Zn
D. nCI​

Answers

Answer:

A, B and C

Explanation:

You are given the chemical equation.

The chemical reaction:

Zn (s) + HCl (9) → ZnCl2 (s) + H2

The elements involved are

Zinc, hydrogen and Chlorine.

That is, H, Cl and Zn

The Zinc is in solid form

While hydrochloric acid is in aqueous form.

The correct answers are A ,B and C

Which statement describes a characteristic of a spiral galaxy?

O It is shaped like a pinwheel.

O It has no new star formation.

O It is made only of gases.

O It is smaller than other types of galaxies.​

Answers

Answer:

It is shaped like a pinwheel

Explanation:

That's the shape.

The shape is like a pinwheel, which best describes a characteristic of a spiral galaxy. So option 1 is correct.

What is a Spiral Galaxy?

The twisted clusters of stars and gas known as spiral galaxies, which are frequently formed of hot, young stars, have striking shapes. As opposed to the other two major groups of galaxy forms, elliptical and irregular, spiral galaxies make up the majority of the galaxies that astronomers have so far discovered.

A spiral galaxy is one that contains Earth and our solar system, such as the Milky Way.

Approximately 72% of the galaxies that have been spotted by scientists are spiral galaxies, according to a 2010 Hubble Space Telescope survey.

The arms that circle the galaxy are formed when the disc of stars orbiting the bulge divides. These spiral arms are rich in gas, dust, and newborn stars that shine brilliantly before dying suddenly.

Hence, the first option is correct that a spiral galaxy is shaped like a pinwheel.

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hello:) I don’t really understand this graph. I thought uniform acceleration means the velocity is constant so it’s a constant gradient?

Answers

Answer:

Uniform acceleration means that the object is accelerating at a constant rate. Since there is still acceleration, velocity is not constant. In fact, the velocity is increasing. This means that the object is moving faster and faster at a constant rate.

This graph is a displacement-time graph so its gradient would represent the velocity of the object. The velocity increases hence the gradient should increase (which means that the graph must be steeper and steeper with increasing time).

Constant gradient of a displacement-time graph would mean that there is no acceleration since gradient of the graph does not change so velocity is constant.

Note that it is the rate of change of velocity that is constant during uniform acceleration, not velocity.

Solve the given parallel circuit by computing the desired quantities. I1 = amperes I2 = amperes I3 = amperes P1 = watts P2 = watts P3 = watts total current = amperes total power = watts

Answers

Answer:

1. Current 1 (I1) is 2 A.

2. Current 2 (I2) is 4 A.

3. Current 3 (I3) is 1.3 A.

4. Power 1 (P1) is 48 W.

5. Power 2 (P2) is 96W.

6. Power 3 (P3) is 31.2 W.

7. Total current is 7.3 A.

8. Total power is 175.2 W.

Explanation:

Data obtained from the question include the following:

Voltage (V) = 24 V

Resistance 1 (R1) = 12 Ω

Resistance 2 (R2) = 6 Ω

Resistance 3 (R3) = 18 Ω

1. Determination of the current 1 (I1)

Voltage (V) = 24 V

Resistance 1 (R1) = 12 Ω

Current 1 (I1) =..?

V = I1R1

24 = I1 x 12

Divide both side by 12

I1 = 24/12

I1 = 2 A

Therefore, the current 1 (I1) is 2 A

2. Determination of the current 2 (I2)

Voltage (V) = 24 V

Resistance 2 (R2) = 6 Ω

Current 2 (I2) =..?

V = I2R2

24 = I2 x 6

Divide both side by 6

I2 = 24/6

I2 = 4 A

Therefore, the current 2 (I2) is 4 A

3. Determination of the current 3 (I3)

Voltage (V) = 24 V

Resistance 3 (R3) = 18 Ω

Current 3 (I3) =..?

V = I3R3

24 = I3 x 18

Divide both side by 18

I3 = 24/18

I3 = 1.33 A

Therefore, the current 3 (I3) is 1.3 A.

4. Determination of power 1 (P1)

Voltage (V) = 24 V

Current 1 (I1) = 2 A

Power 1 (P1) =..?

P1 = I1V

P1 = 2 x 24

P1 = 48 W

Therefore, power 1 (P1) is 48 W.

5. Determination of power 2 (P2)

Voltage (V) = 24 V

Current 2 (I2) = 4 A

Power 2 (P2) =..?

P2 = I2V

P2 = 4 x 24

P2 = 96 W

Therefore, power 2 (P2) is 96W.

6. Determination of power 3 (P3)

Voltage (V) = 24 V

Current 3 (I3) = 1.3 A

Power 3 (P3) =..?

P3 = I3V

P3 = 1.3 x 24

P1 = 31.2 W

Therefore, power 3 (P3) is 31.2 W.

7. Determination of the total current

Current 1 (I1) = 2 A.

Current 2 (I2) = 4 A.

Current 3 (I3) = 1.3 A

Total current =.?

Total current = I1 + I2 + I3

Total current = 2 + 4 + 1.3

Total current = 7.3 A

Therefore, the total current is 7.3 A.

8. Determination of the total power.

Power 1 (P1) = 48 W.

Power 2 (P2) = 96W.

Power 3 (P3) = 31.2 W.

Total power =..?

Total power = P1 + P2 + P3

Total power = 48 + 96 + 31.2

Total power = 175.2 W

Therefore, the total power is 175.2 W.

An overhead projector lens is 32.0 cm from a slide (the object) and has a focal length of 30.1 cm. What is the magnification of the image? PLS HELP

Answers

Answer: 15.8

Explanation:

You are given that the

Object distance U = 32 cm

Focal length F = 30.1 cm

First calculate the image distance V by using the formula

1/F = 1/U + 1/V

Substitute F and V into the formula

1/30.1 = 1/32 + 1/V

1/V = 1/30.1 - 1/32

1/V = 0.00197259

Reciprocate both sides

V = 506.94 cm

Magnification M is the ratio of image distance to object distance.

M = V/U

substitute the values of V and U into the formula

M = 506.94/32

M = 15.8

Therefore, the magnification of the image is 15.8 or approximately 16.

Answer:

-15.8

Explanation:

the other 1 didnt take into account the negative.

What are the two reasons why metals are good conductors of electricity?​

Answers

Answer:

Metals are excellent conductors because the atoms in a metal form a matrix through which their outer electrons can move freely.

Explanation:

Answer:

Explanation:

Metals are good conductor of electricity because they have very large number of free valance electrons whereas glass has no free electrons to conduct electricity. So metals good conductor whereas glass is a bad conductor of electricity.

A motorcycle is capable of accelerating at 1.5 m/s 2. Starting from rest how far can it travel in 0.5 seconds?

Answers

Answer:

use Newton's second law of motion

Explanation:

s= ut + ½at²

where u is initial velocity

s is distance covered

a is accerelation

t is time

s = 0×0.5 + ½×1.5+0.5²

=0.1875m

that's it .give me a brainliest if you don't mind

Answer:

0.1875 or 0.19 if you round

Explanation:

Δd = 1/2aΔt^2 +v1Δt

Δd = 1/2aΔt^2 + (0)Δt

Δd = 1/2(1.5)(0.5^2)

Δd = 0.1875m

Other Questions
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