Two spherical shells have a common center. A -1.50 × 10-6 C charge is spread uniformly over the inner shell, which has a radius of 0.050 m. A +4.50 × 10-6 C charge is spread uniformly over the outer shell, which has a radius of 0.15 m.Find the magnitude and direction of the electric field at a distance (measured from the common center) of______________.

a: 0.20m

b: 0.10m

c: 0.025m

Answers

Answer 1

Answer:

a) At 0.20 m, the magnitude of the field is 675.0 kV

The direction of the field is acting outwards from the center of the charged spheres

b) At 0.10 m, the magnitude of the field is 135 kV

The direction is acting outwards from the center of the charged spheres

c) At 0.025 m

The magnitude of the field, V = -270.0 kV

The direction of the field is inwards, towards the center of the charged spheres

Explanation:

The charged spherical shell parameters are;

The charge on the inner sphere, q₁ = -1.50 × 10⁻⁶ C

The radius of the inner shell, R₁ = 0.050 m

The charge on the outer sphere, q₂ = +4.50 × 10⁻⁶ C

The radius of the outer shell, R₂ = 0.15 m

Let 'r', represent the distance at which the electric field is measured, the following relationships can be obtained;

When r < R₁ < R₂,

[tex]V = k \cdot \left( \dfrac{q_1}{R_1} + \dfrac{q_2}{R_2} \right )[/tex]

When R₁ < r < R₂,

[tex]V = k \cdot \left( \dfrac{q_1}{r} + \dfrac{q_2}{R_2} \right )[/tex]

When R₁ < R₂ < r,

[tex]V = k \cdot \left( \dfrac{q_1 + q_2}{r^2} \right )[/tex]

a) When r = 0.20 m, we have;

R₁ < R₂ < r, therefore

[tex]V = k \cdot \left( \dfrac{q_1 + q_2}{r^2} \right )[/tex]

By plugging in the values, we get;

[tex]V = 9 \times 10^9 \times \left( \dfrac{-1.50 \times 10^{-6} + 4.50\times 10^{-6} }{0.20^2} \right ) = 675.0 \ kV[/tex]

Therefore, the magnitude of the field, V = 675.0 kV

The direction of the field is outwards

b) When r = 0.10 m, we have;

When R₁ < r < R₂, therefore;

[tex]V = k \cdot \left( \dfrac{q_1}{r} + \dfrac{q_2}{R_2} \right )[/tex]

By plugging in the values, we get;

[tex]V = 9 \times 10^9 \times \left( \dfrac{-1.50 \times 10^{-6} }{0.10} + \dfrac{4.50\times 10^{-6}}{0.15} \right ) = 135 \ kV[/tex]

Therefore, the magnitude of the field, V = 135 kV

The direction of the field is outwards from the center

c) When r = 0.025 m, we have;

When r < R₁ < R₂, therefore;

[tex]V = k \cdot \left( \dfrac{q_1}{R_1} + \dfrac{q_2}{R_2} \right )[/tex]

By plugging in the values, we get;

[tex]V = 9 \times 10^9 \times \left( \dfrac{-1.50 \times 10^{-6} }{0.05} + \dfrac{4.50\times 10^{-6}}{0.15} \right ) = -270 \ kV[/tex]

Therefore, the magnitude of the field, V = -270.0 kV

The direction of the field is inwards, towards the center of the charged spheres.


Related Questions

A surfer paddles to where the waves are sinusoidal with crests 14 m apart. He bobs a vertical distance 3.6 m from trough to crest, which takes 1.5 s. Find the wave speed, & describe the wave.

Answers

Answer:

v = 9.34 m/s

Explanation:

Given that,

The distance between crests, [tex]\lambda=14\ m[/tex]

The vertical distance from trough to crest = 3.6 m

Time taken, t = 1.5 s

The amplitude of wave = vertical distance from trough to crest /2

= 3.6/2

= 1.8 m

The speed of the wave is given by :

[tex]v=f\times \lambda\\\\=\dfrac{\lambda}{T}\\\\=\dfrac{14}{1.5}\\\\=9.34\ m/s[/tex]

So, the speed of the wave is 9.34 m/s.

A boat has a porthole window, of area 0.00849 m^2, 6.25 m below the surface. The density of sea water is 1027 kg/m^3. The air inside the boat is at 1 atm. What is the net force on the window?

Answers

Answer:

[tex]325.65\ \text{N}[/tex] outward.

Explanation:

[tex]\rho[/tex] = Density of water = [tex]1027\ \text{kg/m}^3[/tex]

g = Acceleration due to gravity = [tex]9.81\ \text{m/s}^2[/tex]

h = Height of the water = 6.25 m

A = Area of the window = [tex]0.00849\ \text{m}^2[/tex]

[tex]P_i[/tex] = Internal pressure of the boat = [tex]1\ \text{atm}=101325\ \text{Pa}[/tex]

Pressure by the water on the window

[tex]P=\rho gh\\\Rightarrow P=1027\times 9.81\times 6.25\\\Rightarrow P=62967.9375\ \text{Pa}[/tex]

Net pressure on the window

[tex]P_n=P-P_i=62967.9375-101325=-38357.0625\ \text{Pa}[/tex]

Force is given by

[tex]F=P_nA\\\Rightarrow F=-38357.0625\times 0.00849\\\Rightarrow F=-325.651460625\ \text{N}[/tex]

Net force on the window is [tex]325.65\ \text{N}[/tex] outward.

Answer: 534.6 N

Explanation:

This answer works for Acellus!


What might happen if the earth didn't have an atmosphere?
A Everything would go flying off into space.
B.
We wouldn't be able to breathe.
С
The earth's rotation would stop.
D
The seasons would be longer.

Answers

D- the seasons would’ve longshoreman

If the earth didn't have an atmosphere, we wouldn't be able to breathe. So, option B.

The atmosphere serves as a blanket, maintaining Earth's normal temperature. All of the gases required to support life on Earth are present in it. The ozone layer in the atmosphere shields the Earth from dangerous UV radiation.

Infrared radiation from the earth is reflected back to the surface by the lowest layers of the atmosphere. The atmosphere effectively traps the thermal radiation that the planet receives from the sun throughout the day.

The surface of the world would become too cold to support life if the atmosphere weren't present.

To learn more about atmosphere, click:

https://brainly.com/question/32274037

#SPJ6

What generally happens when a comet nears the sun?
A
It freezes.
B
Its gas burns up
С
It becomes an asteroid.
D
It becomes a meteorite.

Answers

It's probably B or A

Answer:

B: its gas burns up

Explanation:

Because when it close to the sun it burns it gas of how hot the sun is.

A student that just received their driver’s license decides to buy a new car. He remembers from physics class that heat engines have a thermal efficiency that can be calculated. He asks the car dealer for a car that has a high thermal efficiency rating. The car dealer says he has a car that is 100% efficient.

Which law of thermodynamics best describes why the car cannot be 100% efficient?

Answers

Answer:

Second law of thermodynamics.

Explanation:

The second law of thermodynamics states that: "in all energy exchanges, if there is no energy entering or leaving the system, then it means the potential energy of that particular state will definitely be less than the potential energy it had at it's initial state."

Now, for a car to be 100% efficient, it means that there must be some form of heat transfer to the environment. However, this is a violation of the second law of thermodynamics and as such it can't be 100% efficient.

The law that  best describes why the car cannot be 100% efficient is the second law of thermodynamics.

Thermodynamics is the study of heat. Heat is a form of energy that exists as a result of temperature difference between bodies.

According to the second law of thermodynamics, the conversion of energy  from one form to another is not 100% efficient. As such, the thermal efficiency of the engine can be calculated.

Learn more about thermodynamics: https://brainly.com/question/1301963

define monsoon.....? ​

Answers

Answer:

A monsoon is traditionally a seasonal reversing wind accompanied by corresponding changes in precipitation but is now used to describe seasonal changes in atmospheric circulation and precipitation associated with the asymmetric heating of land and sea

Explanation:

Which does energy never do?

it never grows

it never disappears

it never lessens

it never changes
PLZZ answer With THE CHOICES PROVIDED THANKS!!!!

Answers

It never disappears I believe

please fast if you solve this you will get 20 point

Answers

true
false
true
true
true

Which of the following is part of the cycle of violence? (Select all that apply)
A. period of calm
B. violent episode
C. making up
D. tension-building

Answers

B,C,D i believe. Hope this help

Which of the following technologies would produce the most energy in light
waves?
A. Infrared sensor on a DVD player
B. Wireless communications transmitter
C. Microwave industrial drying equipment
D. Compact fluorescent lightbulb

Answers

Answer:

D. Compact fluorescent lightbulb

Explanation:

Compact fluorescent lightbulb

A compact fluorescent light bulb would produce the most energy in light

waves, therefore the correct option is D.

What is electromagnetic radiation?

Electromagnetic radiation is a type of energy radiation produced by the propagation of electromagnetic waves that are produced for natural as well as anthropogenic reasons. This radiation does not need any kind of medium to propagate. The electromagnetic wave has components of light as well as heat in them.

Different kinds of electromagnetic radiation have varied levels of energy for example solar radiation is also a form of electromagnetic radiation and gamma radiation is electromagnetic radiation with very high energy.

Most energy in the form of the light wave is produced by the Compact fluorescent lightbulb, therefore the correct option is D.

Learn more about electromagnetic radiation

brainly.com/question/10759891

#SPJ2

what is a work done on a body moving in a circular path ​

Answers

Zero

This is because, when a body moves in a circular path, then the centripetal force acts along the radius of the circle, and it is at right angles to the motion of the body.

A: How far did she travel?



B: How long did she take?

Answers

A. 60 miles
B. 5 hours

Unless you are looking for slope, in which case the answer is different

A portable speaker is switched on. 600 J of energy is transferred from the chemical
store in the battery to the thermal store of surroundings; 250 J by heating and
some by radiation (sound). How much energy is transferred by radiation?​

Answers

Answer:

350 J of energy is transferred by radiation.

Explanation:

Given that,

600 J of energy is transferred from the chemical  store in the battery to the thermal store of surroundings.

Heat energy = 250 J

Sound energy = x

According to the conservation of energy,

600 = 250 +x

x = 600-250

x = 350 J

So, 350 J of energy is transferred by radiation.

Who thinks this a ufo? The following images are from a rare footage.

Answers

Answer:

That might be a sled ngl but it looks like a ufo but it's definitely not

Answer:

the reptilians gave there tech to the nazis and the reptilians are currently living underground in Antarctica but id'k about that pic

Explanation:

Calculate the force between two objects that have masses of 70 kilograms and 2,000
kilograms separated by a distance of 1 meter.

Answers

Answer:

1. 9.338×10¯⁶ N

2. 5.28×10¯¹⁰ N

Explanation:

1. Determination of the force

Mass of 1st object (M₁) = 70 Kg

Mass of 2nd object (M₂) = 2000 Kg

Distance apart (r) = 1 m

Gravitational constant (G) = 6.67×10¯¹¹ Mm²/Kg²

F = GM₁M₂ / r²

F = 6.67×10¯¹¹ × 70 × 2000 / 1²

F = 6.67×10¯¹¹ × 70 × 2000 / 1

F = 9.338×10¯⁶ N

2. Determination of the force.

Mass of 1st fruit (M₁) = 0.45 Kg

Mass of 2nd fruit (M₂) = 0.45 Kg

Distance apart (r) = sum of their radius = 0.08 + 0.08 = 0.16 m

Gravitational constant (G) = 6.67×10¯¹¹ Mm²/Kg²

F = GM₁M₂ / r²

F = 6.67×10¯¹¹ × 0.45 × 0.45 / 0.16²

F = 6.67×10¯¹¹ × 0.45 × 0.45 / 0.0256

F = 5.28×10¯¹⁰ N

can someone help me please

Answers

Answer:

distance and time

Explanation:

like miles per hour, its the measure of how far something went durind a span of time, hours.

A 10 kg dog runs across the ground and jumps onto an ice-covered pond at 5 m/s. If the force of friction acting on the dog is 8 N, how far will the dog slide before coming to rest?

Answers

Answer:

15.625m

Explanation:

Using the equation of motion

v² = u²+2as

u and v are the initial and final velocities

a is the acceleration

s is the distance

Get the acceleration

According to Newton's second law;

F  = ma

8 = 10a

a = 8/10

a = 0.8m/s²

We are also given

v = 5m/s

u = 0m/s

Substitute into the formula above

v² = u²+2as

5² = 0²+2(0.8)s

25 = 1.6s

s = 25/1.6

s = 15.625m

Hence the dog will cover a distance of 15.625m before coming to rest

A student passed a current of 0.6 A through copper sulfate solution for 300 s

Calculate the charge flow through the solution.

Answers

737328644737727363743773784
q = I t

q = (0.6) (300)

q = 180 C

23. Give two examples of where dissipation occurs.

Answers

-solar energy into electrical energy inside solar panels

-during photosynthesis, solar energy is converted into chemical energy

Hell it’s due soon??

Answers

Explanation:

don't know don't know don't know

Outward.................

Sometimes, a crackling sound is heard while taking off a sweater during winters. Explain

Answers

Answer:

it is somewhat frozen

Explanation:

Laura puts her file cabinet on a small cart with wheels which will occur. A Laura will increase the amount of friction. B Laura will reduce the force she needs C Laura will decrease the amount of motion D Laura will increases the force she needs

Answers

Answer: b

Explanation:

Laura will increase the force she needs. When Laura puts her file cabinet on a small cart with wheels, the cart will experience less friction compared to the file cabinet directly resting on the ground. The correct answer is option D.

The presence of wheels reduces the contact area between the cart and the ground, leading to lower frictional forces. As a result, it becomes easier for the cart to move. However, the file cabinet still possesses its original mass, so to accelerate the cart (and the cabinet) to a certain speed or maintain a constant velocity, Laura will need to exert a greater force on the cart due to the reduction in friction. Therefore, the correct answer is D - Laura will increase the force she needs.

To know more about frictional forces, here

brainly.com/question/13707283

#SPJ2

Please any one help me

Answers

Answer:

Which one are we supposed to do

Explanation:

I need to find the total mechanical energy. I think the first one is correct but the second one is wrong

Answers

Answer:

di ko po alam ang sagot baka

po pang grade 9 po yan

Explanation:

sana po magets nyo po

Complete the sentences to describe the difference between speed and velocity.
Speed describes how fast an object moves. Speed is described by
with
Velocity is described by
Tand time
and time. Velocity is speed

Answers

Answer:

velocity =displacement/time

and speed =distance/time

Answer:
a) Distance

b) Direction

c) Displacement

Explanation:

jus did it on edeg

Fill in the blanks:
1. When a spring is pulled, the _____ is proportional to the ______ ( called ____ law.
2.Weight is the force of ____ on an object due to the pull of the _____
3. Weights and other forces are measured in ______
4. Here on Earth, the pull of gravity on a mass of 1 kg is ______ Newtons
5. Weight is measured by a _____ balance and _______ from place to place
6. Newton's first law says: every mass stays at _______ or moves at constant _______ in a _______ line unless a resultant _______ acts on it
7. To move in a _______ orbit, an object must have a _______ force on it

Answers

Answer:

st8tif7u

Explanation:

t996w4sia74a85e8srz

Which vector has an x-component with a length of 3?
А. С.
B. d
C. a
D. b

Answers

Answer:

B.d

mark me as brainlist

Answer:

D. b

Explanation:

the endpoint of vector b is at 3, which means the length is 3

A spring is hung vertically from a hook. A 500g mass is hung from the spring and the spring stretches 0.01m from equilibrium. If the mass is then pulled 0.02m MORE and released what will be the acceleration of the mass just as it is released? (show work)

Answers

Answer:

See the explanation below.

Explanation:

By means of Hooke's second law, we can calculate the spring constant with the initial conditions of the problem.

[tex]F=k*x[/tex]

where:

k = spring constant [N/m]

x = distance = 0.01 [m]

F = force or weight [N]

Weight can be calculated by means of the product of mass by gravitational acceleration.

m = mass = 500[g] = 0.5[kg]

[tex]W=F=m*g\\W = 0.5*9.81\\W= 4.905[N][/tex]

Now the spring constant can be calculated:

[tex]k=F/x\\k=4.905/0.01\\k = 490.5[N/m][/tex]

We must now use the same Hooke's law to determine the new spring force when stretching it 0.03 [m]

[tex]F_{new}=k*x\\F_{new}=490.5*0.03\\F_{new}=14.715[N][/tex]

Now we have to use Newton's second law to calculate acceleration. We must remember that Newton's Second Law tells us that the sum of forces is equal to the product of mass by acceleration.

[tex]F=m*a[/tex]

where:

F = Fnew = 14.715[N]

m = mass = 500 [g] = 0.5 [kg]

a = acceleration [m/s²]

Now replacing:

[tex]14.715=0.5*a\\a=14.715/0.5\\a=29.43[m/s^{2} ][/tex]

A 5kg box is being pulled for a force of 20 n and is sliding with an acceleration of 2 m/s. Find the coefficient of friction

Answers

Answer:

Coefficient of friction = 0.5

Explanation:

Given:

Mass of box = 5 kg

Force applied = 20 N

Acceleration = 2 m/s²

Find:

Coefficient of friction

Computation:

Friction force = Mass x Acceleration.

Friction force =  5 x 2

Friction force = 10 N

Coefficient of friction = Friction force / Force applied

Coefficient of friction = 10 / 20

Coefficient of friction = 0.5

How do you calculate the magnitude of a force?

Answers

If the force equals, for instance, 100 Newtons then 0.866 × 100 = 86.6 Newtons. This is the magnitude of the resultant force vector on the object.
Other Questions
Please help...it due ASAP Show workings please Please help answer correctly !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!! jack is making a triangle shaped deck,one side is 5ft and the other is 7ft. he is going to make the third length 14ft. is jack correct about his third length? Two insulated wires, each 2.64 m long, are taped together to form a two-wire unit that is 2.64 m long. One wire carries a current of 7.68 A; the other carries a smaller current I in the opposite direction. The two wire unit is placed at an angle of 65.0o relative to a magnetic field whose magnitude is 0.59 T. The magnitude of the net magnetic force experienced by the two-wire unit is 4.11 N. What is the current I If an object has a density of 2 g/cm3, and it is placed in a tank of water, will the object float or sink in water? Explain your answer. A total of 150 tickets were sold for the annual concert. Student tickets were $4 and non-students $8. If the total revenue was $840, how many tickets of each type were sold ? What factor prevents us from finding fossils from the Precambrian era?A. Life-forms in this era had no skeletons.B. This was before life existed on Earth.C. Life was destroyed by a series of mass extinctions.D. There are no rocks left from that era. Irene wants to connect your smart phone wirelessly to her laptop in order to transfer images. which two images could she reasonably employee to connect these devices After you set up a fish tank, you are sure to see algae growing in it. There is plenty of light, fertilizer in the form of fish droppings, and plants or glass for algae to cling to. You may see green strings of algae in the water or green spots growing on the glass. Your whole aquarium can turn green if you dont stop the algae. To prevent the problem, you can add algae-eating fish or microorganisms to the water. Covering the aquarium for a few days will also kill algae, which need photosynthesis to survive.Multi-celled algae grow into larger organisms through cell division. For one-celled algae, the purpose of cell division is mark invested 125 he earned a simple interest of 3% per year on the initial investment if no money was added or removed from the investment what was the amount of interest mark received at the end of two years which have higher freequincies,AM radio waves or FM radio waves in science Tina just threw a 0.15 kg ball straight up in the air. If the ball reachesa height of 4.0 m, what is its gravitational potential energy at thisheight?A-27jB-5.9jC-13jD-2.5j If glass panels help trap heat, how could they be used to help a farmer keep his plants warm in a coolerclimate? I dare you to call this number 830-476-5664 and 972-436-3577. Its funny lol The height of a rectangle is increasing at a rate of 11 centimeters per hour and the width of the rectangle is decreasing at a rate of 9 centimeters per hour. At a certain instant, the height is 3 centimeters and the width is 8 centimeters. What is the rate of change of change of the area of the rectangle at that instant? Help please I beg you to come help me if you want to Atoms are made up of subatomic particles including protons and electrons. The mass of a proton is about 1.6726 x10-27 kg and the mass of an electron is about 9.1094 x 10-31 kg. Determine how much mass a proton and electronhas combined. Express the result in scientific notation.O 1.6717 x 10-27O 16,717 * 10-31O 1.6735 x 10-27O 16,735 x 10-31 please help me with this , thank you so much Write each phrase as an algebraic expression1. Jenny is 5 times as old2. Brandon spent 10 dollars more You have purchased a wooden cupboard from a reputed dealer. After delivery you find that one of the doors has a deep cut on its surface. Write an email to the dealer.