An air-filled parallel-plate capacitor is charged and then disconnected from the battery. The plates are then pulled apart to twice their original separation. Which of the following statements about this capacitor is true?
A. The capacitance has doubled.
B. The energy stored in the capacitor has doubled.
C. The potential difference across the plates has decreased.
D. The electric field between the plates has increased.

Answers

Answer 1

Answer:

B.

Explanation:

From the given information, since the capacitors are disconnected from the battery, the electric field between the plate does not change due to the fact that there is no difference in charge density.

Hence, the potential difference after separating the plates is:

V' = Ed

V = e (2d')

V' = 2V

For the energy stored in the capacitor;

[tex]U' = \dfrac{1}{2}QV'[/tex]

where;

V' = 2V

[tex]U' = \dfrac{1}{2} Q (2V)}[/tex]

[tex]U' =2( \dfrac{1}{2} Q V)[/tex]

U' = 2U

Thus, in the capacitor, the energy that is being stored is doubled.


Related Questions

A 71-kg swimmer dives horizontally off a 500-kg raft. If the diver's speed immediately after leaving the raft is 6m/s, what is the corresponding raft speed?

Answers

Answer:

The answer is below

Explanation:

Momentum is used to measure the quantity of motion in an object. Momentum is the product of mass and velocity.

Momentum = mass * velocity

The principle of conservation of momentum states that momentum cannot be created or destroyed but  can be transferred. Therefore the momentum before and after an action is equal.

Initial momentum = Final momentum

Let m be the mass of the diver, M be the mass of the raft, u be the initial velocity of the diver, U be the initial velocity of the raft, v be the final velocity of the diver and V be the final velocity of the raft.

m = 71 kg, M = 500 kg, v = 6 m/s

Initial both the raft and diver are at rest, hence u and U is zero, hence:

mu + MU = mv + MV

71(0) + 500(0) = 71(6) + 500(V)

0 = 426 + 500(V)

500(V) = -426

V = -426/500

V = -0.852 m/s

7Which of the following terms describes how glaciers move?
A Quickly
B Gradually
C Aggressively
D Rapidly

Answers

Answer:

D is the answer  I think (0 w 0 )

Explanation:

The  glaciers move gradually. Hence, option (C) is correct.

What is glacier?

A glacier is a long-lasting mass of heavy ice that is perpetually moving. When the ablation of snow is greater than the accumulation over a long period of time, frequently centuries, a glacier forms.

As it slowly flows and deforms under forces brought on by its weight, it gains distinctive features like crevasses and seracs. Cirques, moraines, and fjords are the result of the erosion of rock and debris from its substrate as it travels.

The considerably thinner sea ice and lake ice that form on the surface of bodies of water are not the same as glaciers, which form only on land and may flow into water bodies.

The huge ice sheets, commonly referred to as "continental glaciers," in the polar areas of the planet contain 99 percent of the planet's glacial ice.

Learn more about glaciers here:

https://brainly.com/question/19709729

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A 5 cm diameter orfice discharges fluid from a tank with a head of 5 meters. The discharge rate, Q, is measured at 0.015 m^3/s. The actual velocity at the vena contracta is 9 m/s. The coefficient of discharge is nearest to:________

Answers

Answer:

[tex]\mathbf{ C_d = 0.86}[/tex]

Explanation:

Given that:

diameter of the orifice D = 5 cm = 5 × 10⁻² m

discharge rate Q = 0015 m³/s

Actual velocity V = 9 m/s

By using the formula

[tex]Q = C_d \times A \times \sqrt{2gh}[/tex]

where;

[tex]v = \sqrt{2gh}[/tex] = 9  m/s

[tex]Q = C_d \times A \times v}[/tex]

where;

[tex]A = \dfrac{\pi D^2}{4}[/tex]

[tex]A = \dfrac{\pi (5 \times 10^{-2} ) ^2}{4}[/tex]

[tex]A = 0.00196 \ m^2[/tex]

Again,

[tex]Q = C_d \times A \times v}[/tex]

[tex]0.015 = C_d \times 0.00196 \times 9[/tex]

[tex]C_d = \dfrac{0.015 }{ 0.00196 \times 9}[/tex]

[tex]\mathbf{ C_d = 0.86}[/tex]

Hence, the coefficient of discharge [tex]\mathbf{ C_d = 0.86}[/tex]

b. What would the momentum be if the mass of the bowling ball were doubled and its velocity still was 3 m/s?​

Answers

Answer:

Twice.

Explanation:

The momentum of an object is given by :

p = mv

Where

m is mass and v is the velocity

If the mass of the ball were doubled, m'=2m and v'=v=3 m/s

New momentum,

p'=m'v'

p'=2m × v

p'=2mv

or

p'=2p

So, the new momentum becomes twice the initial momentum.

Many scientific studies have found that colds are caused by viruses. What is this? *

Fact
Interpretation
Analysis
Opinion

Answers

Answer:

Analysis

Explanation:

Because you must Analysis each and every cold too find out which virus caused this.

It’s weird because Interpretation and Analysis have the meaning of examination

You have now seen examples during lecture on how to calculate the electric field for a line of charge and a ring of charge - both uniformly distributed. This activity will ask you to solve for the electric field, on-axis, of a uniformly-charged disk sitting in the yz plane. Below is a picture of the situation of interest. Note: Treat it as a totally flat disk and ignore its thickness in the x direction. Also, let x be the distance between the center of the disc and point P.

Answers

Answer:

1/4πε₀[Hx/ (√x² + b²)^3/2]i.

Explanation:

So, without mincing words let's dive straight into the solution to the question above. There is need to determine the electric field on-axis of a uniformly-charged disk sitting.

The electric field in the x-component, dεₓ = 1/4πε₀[H/ x² + b²] cos .

Thus, the total electric field in the x-component, εₓ = 1/4πε₀ [ xdH/ (x^2 + b^2)^3/2.

Therefore, the electric field = 1/4πε₀ [ xdH/ (x^2 + b^2)^3/2i.

Where x=0

some waves can only travel through matter. What is this matter called?

Answers

A water wave is an example of a mechanical wave. A wave that can travel only through matter is called a mechanical wave.

i’ll mark you brainlist :)

Answers

Ndnxhxnxjzmsmamsmzmnx
i’m famous. follow me at faithwilliamss

Which of the following is a mood disorder?

phobic disorder

bipolar disorder

schizophrenia

conversion disorder

Answers

bipolar disorder is the answer

Answer:

bipolar disorder

Explanation:

bipolar disorder, is previously known as manic depression, is a mental disorder characterized by periods of depression and periods of abnormally elevated mood that last from days to weeks.

Describe an experiment to show that the maximum attractive property is at the poles of
a magnet?​

Answers

Answer:

Take a bar magnet and place a steel pin at some distance. ... Now, bring the steel pin near the pole of the bar magnet. We notice that pin sticks to the magnet. This experiment shows that maximum magnetic force acts at the poles of the magnet.

Explanation:

hope that is help

1.How much work does it take to get a 2Kg ball moving 15m/s if it starts from rest?

2. If a force of 235N was added to the ball, through what distance would this force have to act to give the ball a velocity of 15m/s

Answers

Well Hmm how much you tell me it’s your work lol

A bar magnet was placed underneath a sheet of paper where a pile of iron filings sits. In the presence of the energy stored in the magnetic field, the iron filings arranged themselves, creating lines of force. How do the energy and the lines of force change when a stronger bar magnet is used?

The answer is "The energy increases, and the lines of force are denser"

Answers

Answer:

The energy increase, and the lines of force are denser

Explanation:

The rest of the answers

1.) The field energy will increase.

3.) It points toward the field of earths magnetic poles.

4.) l, ll, and lll only

5.) ll, lV, l, lll

Based on the information given, the energy and the lines of force change as the energy increases, and the lines of force are dense.

Energy

In physics, it should be noted that energy is the quantitative property which must be transferred to a body or physical system to perform work on the body.

From the information, the bar magnet was placed underneath a sheet of paper where a pile of iron filings sits and in the presence of the energy stored in the magnetic field, the iron filings arranged themselves, creating lines of force. Therefore, when a stronger bar magnet is used, the energy increases and the lines of force are denser.

Learn more about energy on:

https://brainly.com/question/13881533

Ashudent drops an object from rest above a force plate that records information about the force exerted on the object as a function of time during the time interval in which the objects in contact with the force plate Which of the following measurements should the student take in addition to the measurements from the force platit. to determine the change in momentum of the object from immediately before the collision to immediately after the collision?
A The mass of the object
B The final speed of the object MOH 5000
C The distance fallen by the object
D The student has enough information to make the determination

Answers

Answer:

A The mass of the object

Explanation:

i hope it's helpful

Kieran caught 18 more Pokémon on Saturday than
Noah did. Kieran caught 53 Pokémon. Write and solve
an equation to find how many Pokémon, p, Noah
caught on Saturday.

Answers

Answer:

Noah caught 35 Noah on Satuday.

Explanation:

Given that,

Kieran caught 53 Pokemon

Kieran caught 18 more Pokémon on Saturday than  Noah did.

Let Noah caught x Pokémon on Saturday.

ATQ,

18 + x = 53

Thie is the equation that can be used to find the value of x.

Subtract 18 from both sides.

18 + x -18 = 53 - 18

x = 35

Hence, Noah caught 35 Noah on Satuday.

Two 0.60-kilogram objects are connected by a thread that passes over a light, frictionless pulley. The objects are initially held at rest. If a third object with a mass of 0.30 kilogram is added on top of one of the 0.60-kilogram objects and the objects are released, the magnitude of the acceleration of the 0.30-kilogram object is most nearly:______

Answers

Answer:

2 m/s²

Explanation:

From the given information:

The first mass m_1 = 0.6 kg

The second mass m_2 = 0.3 kg

The magnitude for the acceleration of 0.3 kg is:

a = net force/ effective mass

Mathematically, it can be computed as follows:

[tex]a = \dfrac{F}{m}[/tex]

[tex]a = \dfrac{(m_2 +m_1 -m_1) }{(m_2+m_1+m_1)}(g)[/tex]

[tex]a = \dfrac{0.3 +0.6 -0.6}{(0.3 +0.6+0.6)}(9.8)[/tex]

a ≅ 2 m/s²

In the figure, if Q = 52 µC q =10 µC and d = 55 cm, what is the magnitude of the electrostatic force on q?​

Answers

Answer:

F = 15.47 N

Explanation:

Given that,

Q = 52 µC

q = 10 µC

d = 55 cm = 0.55 m

We need to find the magnitude of the electrostatic force on q. The formula for the electrostatic force is given by :

[tex]F=k\dfrac{q_1q_2}{d^2}\\\\F=9\times 10^9\times \dfrac{52\times 10^{-6}\times 10\times 10^{-6}}{(0.55)^2}\\\\F=15.47\ N[/tex]

So, the magnitude of the electrostatic force is 15.47 N.

The magnitude of electrostatic force will be "15.47 N".

Electrostatic force

According to the question,

Charges, Q = 52 μC

                q = 10 μC

Distance, d = 55 cm, or

                   = 0.55 m  

Constant, k = 9 × 10⁹

We know the relation,

Electrostatic force, F = k [tex]\frac{q_1 q_2}{d^2}[/tex]

By substituting the values, we get

                                      = 9 × 10⁹ × [tex]\frac{10\times 10^{-6}}{(0.55)^2}[/tex]

                                      = 15.47 N

Thus the above answer is correct.

Find out more information about Electrostatic force here:

https://brainly.com/question/11681616

A spring with k = 58 N/m hangs vertically next to a ruler. The end of the spring is next to the 17-cm mark on the ruler.
If a 2.5-kg mass is now attached to the end of the spring, and the mass is allowed to fall, where will the end of the spring line up with the ruler marks when the mass is at its lowest position?
Express your answer to two significant figures and include the appropriate units.

Answers

Answer:

Explanation:

The force occurring on a spring F = mg

If x should be the expansion in the spring.

Then F = mg = -kx

where;

[tex]x = \dfrac{mg}{k}[/tex]

[tex]x = \dfrac{2.5 \ kg*9.81 \ m/s^2 }{58 \ N/m}[/tex]

x = 0.423 m

x = 42.3 cm

The final reading of the spring when the end of the spring lines up with the ruler mark is = 42.3 cm + 17 cm

= 59.3 cm

≅ 60 cm

A swift moving hawk is moving due west with a speed of 30 m/s; 5.0 s later it is moving due north with a speed of 20 m/s.
(A) What are the magnitude and direction of Δvav vector during this 5 s interval? and
(B) What are the magnitude and direction of vector aav during this 5 s interval?

Answers

Answer:

See explanation

Explanation:

Now we have;

vi = (-30, 0) m/s

vf = (0, 20) m/s

Δvav= vf - vi= (30, 20) m/s

magnitude of Δvav= √30^2 + 20^2 = 36.0 m/s

Direction = tan-1(20/30) = 33.69°

For aav

aav= Δvav/t = (30/5, 20/5) = (6,4) m/s^2

magnitude of  aav = √6^2 + 4^2 = 7.2 m/s^2

direction of aav = tan-1(4/6) = 33.69°

In the equation for the gravitational force between two objects, which quantity must be squared?
•mi
•m2
•G
•d

Answers

Answer:

d

Explanation:

The quantity that must be squared in the equation of gravitational force is distance d.

According to the universal gravitational law, the square of the distance between two objects is inversely proportional to the force of gravity.

Therefore, the quantity to be squared is d

The formula is given as:

  Fg  = [tex]\frac{G m_{1} m_{2} }{d^{2} }[/tex]  

So d is the quantity that must be squared

A motor is used to lift a 10 kg mass 2 m above the ground in 4 s. If the power input to the motor is 100 W. what is the efficiency of the motor?
(Show Work)

Answers

Answer:

98%

Explanation:

Given parameters

Mass of motor = 10kg

Height = 2m

Time = 2s

Power input = 100w

Unknown

Efficiency = ?

Solution

Efficiency is the percentage of the power output to the power input.

Power is the rate at which work is done.

Power output = mass x g x height / time

g is the acceleration due to gravity

Power output = 10x 2 x 9.8 / 2 = 98W

Efficiency = power output/ power input x 100

Efficiency = 98/100 x 100 = 98%

Energy stored in the nucleus of an atom which releases energy through
fission or fusion *

Answers

Nuclear energy: energy stored within the nucleus of an atom; energy released from a fission or fusion reaction.

Hope this helps!

In the laboratory, a ball is dropped onto a force-sensing platform several times, each time hitting a different surface (foam, feathers, clay, etc.). The momentum of the ball changes by the same amount in each trial; in each trial, the average scale reading is F, and the time of collision t are measured. What quantities would need to be graphed to exhibit a straight-line relationship

Answers

Answer:

Graphing the momentum against the change in moment yields a linear relationship.

Explanation:

This is an impulse experiment,

          I = ∫ F .dt

where the force and time of the collision are measured, therefore if we assume an average force the integral reduces to

           I = F t

Furthermore, the momentum is equal to the change in moment of the ball, this change in moment can be found using the energy relations measuring the height of the ball and calculating its speed, in the two intervals for the descent and for the exit, possibly the heights are different so the moment change is different from zero.

Starting point. Higher

          Em₀ = U = mgh

Lower end point, just before hitting the scale

          [tex]Em_{f}[/tex] = K = ½ m v²

in the path in the air there is no friction

          Em₀ = Em_{f}

          m g h = ½ m v²

          v = [tex]\sqrt{2gh}[/tex]

this height is different for the descent and ascent of the ball, so we have two moments

         Δp = [tex]p_{f}[/tex] - p₀

         Δp = m (v_{f} -v₀)

         

therefore we have the relationship

         

         I = Δp

Graphing the momentum against the change in moment yields a linear relationship.

An Egyptian pyramid contains approximately 1.95 million stone blocks. The average weight of each block is 2.55 tons. What is the weight of the pyramid in pounds?

Answers

Answer:

More than 2,300,000 limestone and granite blocks were pushed, pulled, and dragged into place on the Great Pyramid. The average weight of a block is about 2.3 metric tons (2.5 tons).

Many scientific studies have found that colds are caused by viruses. What is this? *

Fact
Interpretation
Analysis
Opinion

Answers

Can you help me with my biology I just posted a couple of questions????

If an atom of oxygen has an atomic number of eight that means...…
E. there are 8 protons
F. there are 8 neutrons
G. it weighs 8 amu
H. it is in group 8

Answers

E is your answer! protons and the atomic number will always be the same
E us your answer. there are 8 protons.

A ball is thrown directly downward with an initial speed of 7.70 m/s, from a height of 30.2 m. After what time interval does it strike the ground?

Answers

Answer:

[tex]t = 1.82[/tex]

Explanation:

Given

[tex]u = 7.70m/s[/tex] -- initial velocity

[tex]s = 30.2m[/tex] --- height

Required

Determine the time to hit the ground

This will be solved using the following motion equation.

[tex]s = ut + \frac{1}{2}gt^2[/tex]

Where

[tex]g = 9,8m/s^2[/tex]

So, we have:

[tex]30.2 = 7.70t + \frac{1}{2} * 9.8 * t^2[/tex]

[tex]30.2 = 7.70t + 4.9 * t^2[/tex]

Subtract 30.2 from both sides

[tex]30.2 -30.2 = 7.70t + 4.9 * t^2 - 30.2[/tex]

[tex]0 = 7.70t + 4.9 * t^2 - 30.2[/tex]

[tex]0 = 7.70t + 4.9t^2 - 30.2[/tex]

[tex]7.70t + 4.9t^2 - 30.2 = 0[/tex]

[tex]4.9t^2 + 7.70t - 30.2 = 0[/tex]

Solve using quadratic formula:

[tex]t = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}[/tex]

Where

[tex]a = 4.9;\ b = 7.70;\ c = -30.2[/tex]

[tex]t = \frac{-7.70\±\sqrt{7.70^2 - 4*4.9*-30.2}}{2*4.9}[/tex]

[tex]t = \frac{-7.70\±\sqrt{651.21}}{9.8}[/tex]

[tex]t = \frac{-7.70\±25.52}{9.8}[/tex]

Split the expression

[tex]t = \frac{-7.70+25.52}{9.8}[/tex] or [tex]t = \frac{-7.70-25.52}{9.8}[/tex]

[tex]t = \frac{17.82}{9.8}[/tex] or [tex]t = -\frac{33.22}{9.8}[/tex]

Time can't be negative;  So, we have:

[tex]t = \frac{17.82}{9.8}[/tex]

[tex]t = 1.82[/tex]

Hence, the time to hit the ground is 1.82 seconds

How does the water cycle influence weather in central Wisconsin?

Answers

Answer:

The water cycle describes how water evaporates from the surface of the earth, rises into the atmosphere, cools and condenses into rain or snow in clouds, and falls again to the surface as precipitation.The water cycle involves the exchange of energy, which leads to temperature changes.

Answer:

so be more specific please

A basketball of mass 0.23kg is thrown horizontally against a rigid vertical wall with a velocity of 20m/s. It rebounds with a velocity of 15m/s. Calculate the impulse of the force of the wall on the basketball.

Answers

Answer:

[tex]8.1\:\mathrm{Ns}[/tex]

Explanation:

The impulse-momentum theorem gives the impulse on an object to be equal to the change in momentum of that object. Since mass is maintained, the change in momentum of the basketball is:

[tex]\Delta p = m\Delta v[/tex], where [tex]m[/tex] is the mass of the basketball and [tex]\Delta v[/tex] is the change in velocity.

Since the basketball is changing direction, its total change in velocity is:

[tex]\Delta v = 20-(-15)=35\:\mathrm{m/s}[/tex].

Therefore, the basketball's change in momentum is:

[tex]\Delta p = m\Delta v = 0.23\cdot 35= 8.05=8.1\:\mathrm{kg\cdot m/s}[/tex].

Thus, the impulse on the basketball is [tex]\fbox{$8.1\:\mathrm{Ns}$}[/tex] (two significant figures).

PLS HELP ME!
A motorist is traveling 40ms-¹ and applies brakes and slow down at a rate of 2ms-² the available distance for the the motorist to stop is 400m will the motorist be able to stop?

Answers

Answer:

[tex] \underline{ \boxed{ yes}}\\[/tex]

Explanation:

[tex]given : initial \: velocity \: (u )= 40 {ms}^{ - 1} \\ given : final \: velocity \: (u )= 0 {ms}^{ - 1} \\ given : - (acceleration) \: (a_r) = 2 {ms}^{ - 2} \\ given : distance \: (s) \: = \: ? : \\ but \: {v}^{2} = {u}^{2} + 2( a)s\\ {0}^{2} = {40}^{2} + 2( - 2)s \\ - {40}^{2} = - 4s \\ s = \frac{ - {40}^{2} }{ - 4} \\ s = \frac{1600}{4} \\s = 400 \: m[/tex]

A girl walks 20.0 m east then 70.0 meters north. What is the girl’s displacement (mag. And direction)? What is the girl’s distance?

Answers

Explanation:

Given that,

A girl walks 20.0 m east then 70.0 meters north.

Displacement is the shortest path covered by an object. Let it is d. It is calculated as :

[tex]d=\sqrt{20^2+70^2} \\\\=72.80\ m[/tex]

For direction,

[tex]\theta=\tan^{-1}(\dfrac{70}{20})\\\\\theta=74.05^{\circ}[/tex]

Girl's distance = 20 m + 70 m

= 90 m

Hence, this is the required solution.

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What happens when cerebrum of brain get injured? lungs are blood purifier why In this image the "white" space is also the ___ space... An earthquake occurs in which 'sphere? Ok now that the image works did I do this right? A circle has a diameter of 18m. Find the area of the sectorwhose central angle is 135 Air pollution is a major health problem caused by the burning of fuels in a.vehicles. b.power plants and factories. c.home furnaces. d.All of the above What is the main idea of this passage?The president will not oppose any state laws that aid formerly enslaved people. The president will not allow states to make laws affecting formerly enslaved people. States may enact laws that temporarily reestablish slavery to limit the numbers of homeless.States may pass laws to establish the terms of freedom for formerly enslaved people. WHAT I HAVE LEARNEDDirections. Let's check what you have learned. Complete the paragraph bysupplying the missing words. (Use the worksheet on page 8).andBefore writing a composition, it is best to it first. Hence, anare very useful and effective in planning to write ais a sketch or framework of a text showing its important ideas anddetails. This is usually presented in headings and subheadings. On the other hand,are aids that show visual explanations of concepts and relationshipsamong ideas presented in texts. So, both are helpful in planning to write a composition Arnav knows that (3,4,5) and (5,12,13) are pythagorean triples. He wants to show that (15,20,25) is also a pythagorean triple. Besides using the converse of the pythagorean theorem, is there another way Arnav can show that (15,20,25) is a pythagorean triple? yo I need help asap would really appreciate, solve photo attached please also pls tell me how you did it Find volume and surface area What were two arguments made against the treaty? any two substances whih are tasteless Amelia is going to invest in an account paying an interest rate of 2.3% compounded quarterly. How much would Amelia need to invest, to the nearest hundred dollars, for the value of the account to reach $1,530 in 19 years? The conflict over control of the fur trade resulted in the __________.A.American RevolutionB.Louisiana PurchaseC.French and Indian WarD.British North American Actanswer C _____+67-34=72 plzzz help me plssss help Which phrase describes conduction?transfer of heat by the actual movement of warmed matterthe process in which energy is emitted by one object, transmitted through space, and absorbed by anotherthe process in which energy is released by molecules breaking aparttransfer of heat between two objects that are touching Which of the following was one of the Radical Republicans' main goals for Reconstruction?A. Radical Republicans wanted to give power back to the wealthy planters in the South.B. Radical Republicans wanted to ensure that the Fourteenth Amendment did not pass.C. Radical Republicans wanted to keep President Johnson in office.D. Radical Republicans wanted to guarantee freedmen were given the right to vote. Give three examples of convection. PLEASE I AM BEING TIMED!!!