You have four identical conducting spheres: A, B, C, and D. In each scenario below, sphere A starts with a charge of -Q, sphere C starts out with a charge of Q, and spheres B and D start out neutral. Then the spheres are touched to each other and separated in the order described. Any spheres not in contact are held very far away. For each scenario, give the final charge of sphere C as a whole number fraction of Q. For example, if you decide that the final charge of sphere C is -Q/7, enter \"-1\" in the numerator and \"7\" in the denominator. Remember! Before each scenario begins, spheres A, B, C, and D are reset to charges of -Q, 0, Q, and 0 again.
Scenario 1: A and B touch and are separated, then A and C touch and are separated, then A and D touch and are separated.
Scenario 2: A and D touch and are separated, then D and C touch and are separated, then D and A touch and are separated, then A and B touch and are separated.
Scenario 3: A and B touch and are separated, then B and D touch and are separated, then C and D touch and are separated.

Answers

Answer 1

Answer:

1)    Q_c = - ½ Q ,  2)   Q_c = + ¼ Q , 3)    Q_c= 3/8 Q

Explanation:

For this exercise we must use that equal charges repel and charges with different signs attract. When two objects are in contact, the charges are evenly distributed between them.

Scenario 1.

when the two spheres touch the charge -Q is distributed between them, when separating each sphere has a charge = -1/2 Q

as there are no more interacts sphere C its charge is

         Q_c = - ½ Q

Scenario 2

when the two spheres touch the charge -Q is distributed between them, when separating each one has a charge

        Q_a = Q_d = - ½ Q

now the sphere D and C touch the charge is Q_net = -1/2 Q + Q = + ½ Q

when separating each sphere has half the charge

            Q_d = Q_c = + ¼ Q

since sphere C has no more interaction, its charge is

           Q_c = + ¼ Q

Scenario 3

A and B touch the net charge is Q_net = - Q + 0 = - Q

when parting

          Q_a = Q_b = - ½ Q

now B and D touch, the charge is Q_net = - ½ Q +0 = - ½ Q

when parting

           Q_b = Q_d = - ¼ Q

finally C and D touch

the net charge is Q_net = Q- ¼ Q = ¾ Q

when separating each one is left with half the load

           Q_c = Q_d = 3/8 Q

          Q_c= 3/8 Q


Related Questions

Write as ordinary number 3 x 10^0

Answers

Answer:

3

Explanation:

10⁰ = 1 because anything to the power of 0 is 1.

3×1= 3

According to the law of conservation of energy, which statement must be
true?
A. Potential energy can only change to kinetic energy.
B. There is only one form of energy.
C. The total energy of a system can decrease only if energy leaves
the system.
O
D. A system cannot take in additional energy.

Answers

Answer: THE ANSWER IS C!

The total energy of a system can decrease only if energy leaves the system.

Explanation: Apex!

If the y component of a vector is 36, and the angle between the vector and the x-axis is 27, what is the magnitude of the vector?

Answers

Answer:

79.29

Explanation:

Given that,

The y component of a vector, y = 36

The angle between the vector and the x-axis is 27.

We need to find the magnitude of a vector.

Let a and b are x and y component of a vector m. There resultant is R. So,

[tex]R=\sqrt{a^2+b^2}[/tex]

Where

[tex]a=c\cos\theta\ \text{and}\ b=c\sin\theta[/tex]

We have, b = 36 and θ = 27°

So,

[tex]36=R\sin\theta\\\\R=\dfrac{36}{\sin\theta}\\\\R=\dfrac{36}{\sin(27)}\\R=79.29[/tex]

So, the magnitude of the vector is 79.29

Question 1 Multiple Choice Worth 2 points)
(05.03 LC)
How many atoms of oxygen are there in one molecule of carbon dioxide, if the chemical formula is CO2?
ОО
01
O2
03

Answers

Answer:

2 atoms of oxygen in carbon dioxide

Explanation:

PLEASE HURRY! The highest speed ever achieved on a bicycle was reached by John Howard of the United
States. The bicycle, which was accelerated by being towed by a vehicle, reached a velocity
of 6.81 m/s. Suppose Howard wants to slow down, and applies the brakes on his now freely
moving bicycle. If the average acceleration of the bicycle during braking is -3.0 m/s2
, how
long will it take for the bicycle’s velocity to decrease to 5.44 m/s?

Answers

Well, to begin with, your first number gang somewhat aglay. The land speed record that John Howard set on his bicycle in 1985 was 152.2 miles per hour, which works out to 68.04 m/s. So I can see where you got the 6 and the 8 from, but your little decimal point snuck over one place when you weren't looking.

I'll use your number to answer the question. If my solution turns out to be wrong, then it's because you copied the number wrong, and you'll have to work it out again with an initial speed of 68.1m/s.

Initial speed = 6.81 m/s

Final speed = 5.44 m/s

Amount of slowing down = 1.37 m/s

Rate at which the brakes slow you down = 3 m/s each second

Time needed to slow down 1.37 m/s = (1.37 m/s) / (3 m/s^2)

That's 0.457 second. (obviously absurd)

If initial speed = 68.1 m/s

Then amount of slowing down = 62.66 m/s

Time needed at -3 m/s^2 = (62.66/3)

That's 20.9 seconds. Much more reasonable.

By the way, John Howard's record was broken 10 yrs later, in 1995 .

Time  it will take for the bicycle’s speed to decrease to 5.44 m/s is 20.9 seconds.

What is speed?

The speed of an object is the magnitude of the change of its position over time or the magnitude of the change of its position per unit of time; it is thus a scalar quantity.

Given

Initial speed = 6.81 m/s

Final speed = 5.44 m/s

Amount of slowing down = 1.37 m/s

Rate at which the brakes slow you down = 3 m/s each second

Time needed to slow down 1.37 m/s = (1.37 m/s) / (3 m/s^2)

That's 0.457 second. (obviously absurd)

If initial speed = 68.1 m/s

Then amount of slowing down = 62.66 m/s

Time needed at -3 m/s^2 = (62.66/3)

Time  it will take for the bicycle’s velocity to decrease to 5.44 m/s is 20.9 seconds.

To learn more about speed refer to the link:

brainly.com/question/28224010

 #SPJ2

A car speeds up and accelerates for 5.1 seconds at a rate of 2.2 m/s2. if the car's initial velocity was 9.3 m/s, what was the car's final velocity
after accelerating?
-9.7m/s
-11.2m/s
1.9m/s
20.5m/s

Answers

Recall the definition of average acceleration:

a = (v - u)/∆t

where u and v are the initial and final velocities, respectively.

So we have

2.2 m/s² = (v - 9.3 m/s) / (5.1 s)

v - 9.3 m/s = (2.2 m/s²) * (5.1 s)

v = 9.3 m/s + (2.2 m/s²) * (5.1 s)

v = 20.52 m/s ≈ 21 m/s

3A car travelling at initial velocity 30m/s overtake a bus which was 120m
ahead. The bus then moves with initial velocity 10m/s and accelerate at
5ms-2.
when will the bus also now overtake the car,

what is the time interval
between the arrival of the two cars if the car is to travel a total distance of
450m .​

Answers

The bus is 120 m ahead of the car, so the car covers this distance in

120 m = (30 m/s) t

t = (120 m) / (30 m/s)

t = 4 s

Now take the car's position at the moment the car overtakes the bus to be the origin.

Car's position at time t :

x = (30 m/s) t

Bus's position at time t :

x = (10 m/s) t + 1/2 (5 m/s²) t²

The bus overtakes the car when their positions are equal:

(30 m/s) t = (10 m/s) t + 1/2 (5 m/s²) t²

t / (2 s) ((5 m/s) t - 40 m) = 0

t = 0  or  t = (40 m) / (5 m/s) = 8 s

If the car travels a total distance of 450 m, then it does so after

450 m = (30 m/s) t

t = (450 m) / (30 m/s)

t = 15 s

The bus overtakes the car in the first 12 s of this journey, so both vehicles reach the same destination with 3 s between them.

Name as many Greek Gods and Goddesses as you can. What do you know about them?

Answers

Answer:

Zeus, Poseidon, Hera, Aphrodite, Ares, Hades

Explanation:

Zeus is the king of gods. Poseidon is god of the sea. Hera is goddess of Marriage, Ares is god of war. Hades god/lord or the underworld.

g Describe how an electron can possess the properties of both a particle and a wave. How do the wave properties of electrons relate to the Heisenberg uncertainty principle? Electrons possess the properties of particles in that they ---Select--- . However, Louis de Broglie theorized that matter can also show wave properties, specifically characteristic wavelengths based on its mass and velocity. The wave properties of electrons were observed by their ability to ---Select--- when passed through a crystal, similar to the diffraction of electromagnetic waves. The Heisenberg uncertainty principle states that wave properties of electrons ---Select--- the exact location of an electron in space.

Answers

Answer:

See explanation

Explanation:

According to Louis de Broglie, matter has an associated wavelength. Hence, there exist no clear cut difference between matter and wave. Matter may be regarded as a wave and vice versa depending on the behavior of each under the given circumstances.

According to Heisenberg uncertainty principle, the position and momentum of matter can not be simultaneously determined with precision. This further reinforces the wave-particle concept of the electron.

When electrons are passed through crystals, they are diffracted just like electromagnetic waves. This further reinforces the wave-particle paradox.

According to The Heisenberg uncertainty principle, the wave property of electrons determine their exact location in space

It should be noted that an electron can possess the properties of both a particle and a wave as the electron propagates through space.

What is an electron?

It should be noted that electron simply means a particle whose electric charge is a negative one.

In this case, an electron can possess the properties of both a particle and a wave as the electron propagates through space.

Therefore, it interacts at a point like a particle. This is important for the electron to travel through the nucleus of the atom.

Learn more about electrons on:

https://brainly.com/question/371590

What carries electrons from the power supply to a load?

a) Ground
b) Neutral
c) Hot
d) Resistance

Answers

The answer is A! Hope it’s correct’

A dog walking to the right with a speed of 1.5 m s 1.5 s m ​ 1, point, 5, start fraction, start text, m, end text, divided by, start text, s, end text, end fraction sees a cat and speeds up with a constant rightward acceleration of magnitude 12 m s 2 12 s 2 m ​ 12, start fraction, start text, m, end text, divided by, start text, s, end text, squared, end fraction.

Answers

Answer: 8.62

Explanation: it’s the answer. :)

Answer:

8.62

Explanation:

khan academy

QUESTION 5
Insomnia is a sleep disorder most characterized by
a. chronic problems in getting adequate sleep.
b. frequent, reflexive gasping for air.
C. potentially troublesome dream enactments.
d. sudden and irresistible onsets of sleep during normal waking periods.
N

Answers

Answer:

D) sudden and irresistible on sets of sleep during normal waking periods

Explanation:

D because Narcolepsy (sudden and irresistible on sets of sleep during normal waking periods) is a part of insomnia

What is the relationship between energy use and motion?

Answers

Answer:

Kinetic energy is the energy of motion. All moving objects have kinetic energy. When an object in motion. it changes its position by moving in a direction up, down, forward, backward.

Heat sterilization of lumber, timbers and pallets is used to kill insects to prevent their transfer between countries in international trade. Consider hot air heating that maintains the surface temperature at 70°C. The boards are stacked outside and in the winter time they can be considered to be at 0°C when they are brought in for heating. (a) Calculate the time for the slowest heating point to reach sterilization temperature of 56°C for a 2.54 cm thick board. (b) Calculate the heating time when four such boards are stacked together. Thermal diffusivity of the wood is 8.5×10-8 m2/s.

Answers

Answer:

 Δt = 3.04 10³ s

Explanation:

a) This is a thermal conduction exercise that is described by the expression

         P = k A | dT/dx |     (1)

where P power, k thermal  conductivity, A the area, T the temperature and x the thickness

The power supplied to the wood is

          P = Q / Δt

where the heat is given by

         Q = m [tex]c_{e}[/tex] ΔT'

we substitute

         P = m c_{e} ΔT'/ Δt

We assume that the changes in temperature and time can be approximated by their differences,

           

we substitute in 1

          m c_{e} ΔT'/Δt = k A dT / dx

as the temperature changes are small, we can assume a linear variation, consequently the derivatives can be approximated to the variations

           m ce ΔT'/Δt = k A ΔT/Δx    (2)

let's write the temperature variations explicitly

        ΔT’= (T_f -T₀)

        ΔT’= 56 -0

       

        ΔT = [tex](T_{h} - T_{c} )[/tex]

        ΔT = 70 -0    

       

the thermal diffusivity is

           α = k /ρ c_{e}

            k = α c_{e}

the definition of density

            ρ = m / V

            ρ = m / A L

            k = α c_{e} m / A L

we substitute   in 2

          m c_{e} Δx = (α c_{e} m / A L) A ΔT /ΔT'   dt

          Δx = α /L   ΔT / ΔT’  Δt

          Δt = L Dx /α ΔT'/ΔT

let's calculate

          Δt = 2.54 1.27 10⁻⁴ / 8.5 10⁻⁸    (56- 0) / (70-0)

          Δt = 3.04 10³ s

What are the units of density

Answers

Answer:

SI unit of density - Kilogram per cubic metre (Kg/m³)

CGS unit of density - gram per cubic centimetre (g/cm³)

A group of students are doing an electrostatic experiment. One touches an electroscope with her finger, and a second student then brings a charged plexiglass rod near the electroscope but does not touch it. The first student removes her finger from the electroscope before the second student removes the plexiglass. Meanwhile a third student touches a different electroscope with a charged PVC pipe. Are both electroscopes charged? If so, are they the same charge or different charges? Explain your reasoning. Feel free to include any drawings or diagrams.

Answers

Answer:

a) If both are charged

b) the first team has a load and the second half of it

c) The first team has a charge contrary to the rod, it is charged by induction and the second team has a charge equal to the rod, it is charged by contact

Explanation:

For this exercise let's analyze the charge on each electroscope separately

electroscope 1

Suppose the student with her finger on the device is grounded,

When bringing the rod closer to the electroscope a charge is indexed, on the side of the rod on the opposite side there is the same charge but with the opposite sign, as the student is grounded, this charge passes to the ground, this side remains neutral.

When removing the finger, loads can no longer pass, and when removing the rod the load from this side distributes throughout the equipment, therefore it has a load of the same magnitude as the rod

Electroscope 2

In this case, the equipment is touched, so the load redistributes in the two, when separating it remains with half the load of the cheek.

After analyzing each device separately we can answer the questions.

a) If both are charged

b) the first team has a load and the second half of it

c) The first team has a charge contrary to the rod, it is charged by induction and the second team has a charge equal to the rod, it is charged by contact

Calculate the distance moved by a runner who runs with a speed of 5 km/h
and for a period of 0.5 hours.

Answers

Answer:

well at the rate he goes he would be at 2.5km

Franklin needs to ship a box with FedEx. In order to calculate his shipping costs, he needs to measure the mass of the package. What is the base unit that he should use in this case?
A. meter B. liter C. gram​

Answers

Answer:

meter

Explanation:

please mark as brainlist answer

gram gram gram gram gram

What is the average speed in miles per hour of the car that traveled 200 miles in 5.5 hours

Answers

Answer:

36.4 mph

Explanation:

Average speed is [tex]\frac{distance}{time}[/tex].

After substitution, this is [tex]\frac{200}{5.5}[/tex].

The average speed, therefore, reduces to 36 [tex]\frac{4}{11}[/tex] mph, or about 36.4 mph.

Which method should be used to determine which type of natural event produces the greatest number of sand dunes?
Research articles about different types of natural events around the world and the formation of sand dunes.
O Design an experiment that tests multiple types of sand dune formation by natural events using repeated trials
O Model some types of sand dune formation by hurricanes and other types by rain storms in a closed system.
o Construct a mathematical equation that compares size of sand dunes formed by each natural event

Answers

Answer: the answer is b

Explanation:

Compare and contrast the accuracy of eyewitness accounts to the actual events

Answers

Answer: hope it helps

We routinely share first-person accounts of what we've seen or heard ... Accidental eyewitnesses to daily events, ranging from the mundane ... System variables, by contrast, are those that can be controlled by the ... Comparing the diagnostic accuracy of suspect identifications made by actual eyewitnesses ...

Explanation:

How do scientists know what is below the Earth's surface?

Answers

Answer:

Scientists learn about the layers deep within the Earth's crust by studying how seismic waves travel through the Earth. ... By looking at the time of arrival of the main set of waves, and how the frequencies of the waves are arranged within the set, scientists can learn about the density and other properties of the layers.

Explanation:

Just read above.

Longitudional waves travel through a series of ________ and ___________.

compressions; rarefactions
oscillations; propagations
destructions; constructions
disturbances; oscillations

Answers

Answer:

compressions; rarefactions

Explanation:

A 75-kg piano is hoisted on a crane and delivered throughout the window of a 6th story apartment (20 meters above ground). What is the potential energy of the piano?

Answers

Answer:

P = 14700 J

Explanation:

Given that,

Mass of a piano, m = 75 kg

It is delivered throughout the window of a 6th story apartment which is 20 m above the ground.

We need to find the potential energy of the piano. It is given by :

P = mgh

Putting all the values,

P = 75 kg × 9.8 m/s² × 20 m

P = 14700 J

So, the potential energy of the piano is 14700 J.

What is matter using the word mass, atom, and.molecular
Please answer quick please thank you

Answers

Matter is made of single particles called atoms and is any substance that has either mass or volume. Matter can exist in three states, either as a solid, a liquid or a gas. When two or more atoms combine, they form molecules and Atoms are made up of three sub-atomic protons called protons, neutrons and electrons. The protons and neutrons are densely packed together in the nucleus

What is the equivalent resistance of the circuit?

Answers

Answer:

Since the wire is not splitting at any point in the circuit,

the resistors are in series

Hence, Equivalent resistance = 10 + 20 + 30

Equivalent Resistance = 60 Ω

A horse is grazing for food it trots rightward 15 m to eat a carrot then walks rightward 20 m to another carrot then turns leftward to walk 4 m to bite an apple the horse walks a total of 74 s

Answers

Answer:

The horse's average speed is 0.527 m/s

Explanation:

step one:

In this problem, we are not asked explicitly what to solve for, but given the following data we can solve for the average speed

step two:

We know that average speed = total distance/total time taken

total distance= 15m+20+4m= 39m

total time= 74 seconds

step three:

average speed= 39/74

average speed= 0.527 m/s

The horse's average speed is 0.527 m/s

Answer:

.42 | Speed

.527 | Velocity

A horizontal spring is attached to a wall at one end and a mass at the other. The mass rests on a frictionless surface. You pull the mass, stretching the spring beyond the equilibrium position a distance A, and release it from rest. The mass then begins to oscillate in simple harmonic motion with amplitude A. During one period, the mass spends part of the time in regions where the magnitude of its displacement from equilibrium is greater than (0.30)A— that is, when its position is between −A and (−0.30)A, and when its position is between (0.30)A and A. What total percentage of the period does the mass lie in these regions?

Answers

Answer:

 Δt'/ T% = 90.3%

Explanation:

Simple harmonic movement is described by the expression

         x = A cos (wt)

we find the time for the two points of motion

x = - 0.3 A

        -0.3 A = A cos (w t₁)

         w t₁ = cos -1 (-0.3)

         

remember that angles are in radians

        w t₁ = 1.875 rad

x = 0.3 A

        0.3 A = A cos w t₂

        w t₂ = cos -1 (0.3)

         w t₂ = 1,266 rad

         

Now let's calculate the time of a complete period

x= -A

        w t₃ = cos⁻¹ (-1)

        w t₃ = π rad

this angle for the forward movement and the same time for the return movement in the oscillation to the same point, which is the definition of period

         T = 2 t₃

         T = 2π / w     s

now we can calculate the fraction of time in the given time interval

        Δt / T = (t₁ -t₂) / T

        Δt / T = (1,875 - 1,266) / 2pi

        Δt / T = 0.0969

 

This is the fraction for when the mass is from 0 to 0.3, for regions of oscillation of greater amplitude the fraction is

         Δt'/ T = 1 - 0.0969

         Δt '/ T = 0.903

         Δt'/ T% = 90.3%

Read and choose the option that answers the question.

¡Buenas tardes, amigos! Me llamo Elena y vivo en El Salvador. Me despierto a las seis y cuarto de la mañana y hago mis quehaceres. Desayuno, me ducho y me arreglo para ir a la escuela.

Based on the reading, select the "yo-go" verb used in the paragraph.

Answers

Answer:

hago

Explanation:

hago mis quehaceresmeans means I do my homework

1. A mountain climbing expedition establishes a base camp and two intermediate camps, A

and B. Camp A is 11,200 m east of and 3,200 m above base camp. Camp B is 8,400 m

east of and 1,700 m higher than Camp A. Determine the displacement between base camp

and Camp B.

Answers

Answer:

Explanation:

The diagram showing the illustration of the question is shown on the first uploaded image

Here G represents the base

So the displacement in the x -axis is mathematically represented as

[tex]X = 11200 + 8400 = 19600 \ m[/tex]

The displacement in the y -axis is mathematically represented as

[tex]Y 3200 + 1700 = 4900 \ m[/tex]

Generally the resultant displacement is

[tex]R = \sqrt{ X^2 + Y^2}[/tex]

[tex]R = \sqrt{ 19600^2 + 4900^2}[/tex]

[tex]R = 20200\ m [/tex]

Generally the direction of this resultant displacement is mathematically represented as

[tex]\theta = tan ^{-1} [\frac{Y}{X} ][/tex]

=>       [tex]\theta  =  tan ^{-1} [\frac{4900}{19600} ][/tex]

=>            [tex]\theta  = 14.03 ^o  [/tex]

Hence the direction is  [tex]14.03 ^o[\tex] from the horizontal axis

 

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