a) The speed of a motor supplied with a voltage input of 30V, assuming the system is without damping, can be expressed as: 30 = (0.02)+(0.06)w dt If the initial speed is zero and a step size of h = 0.

Answers

Answer 1

Using Runge-Kutta 2nd order Heun's method, the speed (w) at t = 0.8s is approximately 0.0081.

Given:

Voltage input (V) = 30V

Initial speed (w) = 0

Step size (h) = 0.4s

Time at which speed is to be determined (t) = 0.8s

We need to determine the speed (w) at t = 0.8s using Heun's method.

We have k₁ = f(t₁, W₁) = 0.02 + 0.06w₁ (using the given equation)

At t = 0 and w = 0 (initial conditions), we have:

k₁ = 0.02 + 0.06(0) = 0.02

We have k₂ = f(t₁ + h, w₁ + k₁h) = 0.02 + 0.06(w₁ + 0.02h)

So, at t = 0.4s and w = 0 (initial conditions), we have:

k₂ = 0.02 + 0.06(0.02 * 0.4) = 0.02 + 0.00048 = 0.02048

So, W₂ = w₁ + (k₁ + k₂)(h/2)

   = 0 + (0.02 + 0.02048)(0.4/2)

   = 0.04048(0.2)

   = 0.008096

Therefore, using Runge-Kutta 2nd order Heun's method, the speed (w) at t = 0.8s is approximately 0.0081.

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The complete question is:

The speed of a motor supplied with a voltage input of 30V, assuming the system is without damping, can be expressed as 30 = (0.02)+(0.06)w dt If the initial speed is zero and a step size of h = 0.4 s, determine the speed w at t = 0.8 s by using the Runge-Kutta 2nd order Heun's method. Heun's method: Wi+1=W₁ = w₁ + (-/-^₁ + = -K ₂ ) h where, k₁ = f(t₁, W₁) and k₂ = f(t₁ + h, w₁ + k₁h), the speed (w) at t = 0.8s is approximately 0.0081.


Related Questions

A cross country skier moves 32 meters westward then 54 meters eastward and finally 68 meters westward

Answers

Answer: 20 m west

Explanation:

Find B when θ=35, E=10V, t=5, N=250, A=1.20m^2

a. -0.321 T
b. -0.653 T
c. -0.231 T
d. -0.293 T

Answers

Answer:

its most definitely c. trust me

Explanation:

At one instant an object in free fall is moving downward at 50 m/s. one second later its speed is:_______

Answers

Answer:

59.8 m/s

Explanation:

vf = vo + at

   = 50 m/s + 9.81 m/s^2  (1 s) = 59.8 m/s

At one instant an object in free fall is moving downward at 50 m/s. one second later its speed would be 59.81 meters/second because under the free fall motion the only acting force is the gravitational force.

What are the three equations of motion?

There are three equations of motion given by  Newton

The first equation is given as follows

v = u + at

the second equation is given as follows

S = ut + 1/2×a×t²

the third equation is given as follows

v² - u² = 2×a×s

As given in the problem at one instant an object in free fall is moving downward at 50 m/s and we have to find out the speed after 1 second,

By using the first equation of motion,

v = u + at

v = 50 + 9.81 ×1

v = 59.81 meters/second

Thus, the speed of the falling stone after one second would be 59.81 meters/second

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true/false: vertical mixing takes place at the poles because there is little temperature difference between surface and deep waters

Answers

The statement "Vertical mixing takes place at the poles because there is little temperature difference between surface and deep waters" is false.

Vertical mixing is an oceanographic phenomenon that occurs where there is a difference in temperature, salinity, and density between the surface and deep layers of the ocean. The mixing helps in the transportation of nutrients from the deep layer to the surface layer and vice versa. Hence, Vertical mixing does not take place at the poles because there is little temperature difference between surface and deep waters.In general, vertical mixing is more vigorous in the equatorial region than in the polar region. This is because, in the equatorial region, there is a stronger temperature difference between surface and deep waters due to high solar radiation. As a result, the surface waters become warmer, less dense, and float over the denser deep waters. This leads to the creation of a thermocline, which prevents vertical mixing from occurring.On the other hand, in the polar region, there is little temperature difference between surface and deep waters. As a result, there is no thermocline, and the water column is relatively uniform in temperature and density. Therefore, vertical mixing is weak, and the nutrients in the deep water do not mix with the surface water.

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A ship sets out to sail to a point 154 km due north. An unexpected storm blows the ship to a point 72 km due east of its starting point. How far must it now sail to reach its original destination

Answers

Answer:

170km

Explanation:

If a ship sets out to sail to a point 154 km due north and an unexpected storm blows the ship to a point 72 km due east of its starting point, then the ships distance from the original destination can be gotten by finding the displacement of the ship and this can be gotten by using pythagoras theorem.

Let D be the unknown displacement

According to the theorem;

D² = 154² + 72²

D² = 23716 + 5184

D² = 28900

D = √28900

D = 170km

This means that the ship must now sail a distance of 170km for it to reach its original destination.

Một xe đang di chuyển với tốc độ 36km/h thì gia tốc và sau 2s xe lên tới tốc độ 54km/h. Tính gia tốc của xe trong 2s ?

Answers

Answer:

which language is these

Explanation:

we only use english , Hindi ,tamil , bengali and Malayalam

please tell us that it is which language. From that we will slove this

Answer:

a = vf-vi / t

a = (54 km / h-36 km / h) / 2

a = 18/2

a = 9ms⁻²

A student performed an investigation into the refraction of light in a transparent material.

The results are shown below:

The angle of refraction of the refracted ray through the material shown is 32o .

Use this information to calculate the critical angle of the transparent material

A student performed an investigation into the refraction of light in a transparent material.The results

Answers

The critical angle of the transparent material is 35.3 degrees.

What is the critical angle?

The critical angle is the angle of incidence at which the angle of refraction is 90 degrees. In this case, the angle of refraction is 32 degrees. Therefore, the critical angle is calculated as follows:

sin(critical angle) = sin(90 degrees) / sin(angle of refraction)

sin(critical angle) = 1 / sin(32 degrees)

sin(critical angle) = 0.574

critical angle = arcsin(0.574)

critical angle = 35.3 degrees

Therefore, the critical angle of the transparent material is 35.3 degrees.

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When the car comes to a sudden stop, the passenger ________ in motion

Answers

Answer:

If the car comes to a sudden stop, your body tends to keep moving forward.

Explanation:

A 12 Volt car battery pushes charge through the headlight circuit resistance of 10 ohms. How much current is passing through the circuit?

Answers

Answer:

We applicate formula:

I = V/R

Replacing acording data:

I = 12 V / 10 Ω

Resolving:

I = 1,2 A

Result:

The current is of 1,2 Amperes.

Answer:

1.2 amps

Explanation:

I = V/R

V = 12

R = 10

12/10 = 1.2 amperes (amps)

What causes wind to happen?

Lesson 1.06



Question 9 options:

An area of low pressure pushes towards an area of high pressure


The Earth's rotation on its axis


An area of high pressure pushes towards an area of low pressure


The Earth's revolution around the Sun

Answers

Answer:

Gases move from high-pressure areas to low-pressure areas. And the bigger the difference between the pressures, the faster the air will move from the high to the low pressure. That rush of air is the wind we experience.

Explanation:

What energy transformation takes place when you push a pencil off your desk? A. Mechanical energy transforms into kinetic energy. B. Potential energy transforms into nuclear energy. C. Potential energy transforms into kinetic energy. D. Kinetic energy transforms into potential energy.​

Answers

When you push a pencil off your desk, the energy transformation that takes place is that potential energy transforms into kinetic energy.

The correct answer to the given question is option C.

Potential energy is the energy stored within an object because of its position or configuration.

In this scenario, the pencil has potential energy because of its elevated position on the desk. When the pencil is pushed off the desk, it begins to move, which means that it has kinetic energy. Kinetic energy is the energy of motion.

As the pencil falls off the desk, its potential energy is transformed into kinetic energy, which is the energy that results from its motion. The faster the pencil falls, the greater its kinetic energy will be because kinetic energy is directly proportional to the square of an object's velocity.

Therefore, when you push a pencil off your desk, the potential energy that it has because of its elevated position is transformed into kinetic energy as it falls towards the ground.

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what type of process occurs at constant pressure

Answers

Answer:

isobaric process

Explanation:

An isobaric process occurs at constant pressure. Since the pressure is constant, the force exerted is constant and the work done is given as PΔV.

Answer:

well for me I think it's

Explanation:

Charles law in gas laws

Which action generally increases the safety of a gravity dump?
Select one:
a. Installation of extension piping
b. Installation of a remote dump valve
c. Installation of a manual dump valve
d. Installation of 8-inch or larger square piping

See page 448

Answers

Option B: the action that generally increases the safety of a gravity dump is Installation of a remote dump valve.

In the context of industrial processes, a gravity dump refers to a method of emptying or draining a vessel or tank using gravity. Installing a remote dump valve allows for remote operation of the dumping process, which can enhance safety by providing better control and minimizing the need for direct personnel interaction with the dump site. Remote operation reduces the risk of exposure to hazardous materials or substances during the dumping process.

It's important to note that specific safety measures might vary depending on the nature of the material being dumped, the system design, and applicable regulations. Therefore, it's always recommended to refer to relevant guidelines, industry standards, and specific equipment instructions to ensure appropriate safety measures are implemented.

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Abdel, an electrician, does not know much about computers so he orders a custom computer with a 1000 W power supply. However, the maximum wattage the system needs is 500 W.
Which of the following statements are true? Select two
a. The power supply will only deliver up to 500 W of power and operate very efficiently. b. The 1000 W power supply will last longer than, for example, a 750 W power supply. c. Too much extra power will be drawn potentially creating an electrical hazard. d. The computer will run hotter than if using, for example, a 750 W power supply. e. The power supply will run hotter than if using, for example, a 750 W power supply.

Answers

The true statements are a) The power supply will only deliver up to 500 W of power and operate very efficiently and b) The 1000 W power supply will last longer than, for example, a 750 W power supply.

The power supply in a computer is designed to provide only the amount of power needed by the system, so in this case, it will deliver up to 500 W, even though its maximum capacity is 1000 W. This allows the power supply to operate efficiently without drawing excess power or creating an electrical hazard.

Additionally, a higher wattage power supply, like the 1000 W unit, will generally last longer because it is not being pushed to its maximum capacity, allowing for less wear and tear on the components. A power supply with a lower wattage, such as 750 W, may need to work harder to provide the necessary power, potentially reducing its lifespan.

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In a real pully system the work supplied must be _____ the work accomplished​ and no links plz​

Answers

us the link or will help you

Some metals have a molecular structure that makes them good conductors. Explain how understanding this relationship can help engineers make more powerful batteries.

Answers

Answer:

Explained below.

Explanation:

Conductors can be defined as materials that permit electricity to flow through them easily.

Now, metals have a molecular structure that makes them good conductors because electrons in the atoms of these conductors tend to move freely from one atom to the other. So a majority of metals make good conductors because these metals tend to hold their electrons loosely. In short, it can help engineers make powerful batteries because then it means that they are capable of giving much more electrical energy since nowadays, advanced batteries make use of ion charges for the batteries.

Students perform an investigation using density to determine what kind of wood an oval-shaped block is made of.
One student attaches a lead cube to an oval-shaped piece of wood and submerges them in water, as shown in the
diagram. The lead cube keeps the wood from floating. When the wood is underwater, the water level reads 47
milliliters.

Answers

A student ties a lead cube to an oval-shaped block to prevent it from floating and immerses it in water density as part of a study to identify the sort of wood it is composed of.

What is the name of density?

The term "density" (also known as "volumetric mass density" or "specific mass") refers to a substance's mass per unit of volume. Although the Latin letter D may also be used, the sign most frequently used for density is (the lower case Greek letter rho).

Who discovered density?

According to legend, Archimedes shouted "Eureka!" as he rushed through the Sicilian streets. ("I've discovered it!") He had figured out what density was. Everyone has spent a significant amount of time in water during their life. The second thing Archimedes noticed was that he felt lighter floating.

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In a friendly game of handball, you hit the ball essentially at ground level and send it toward the wall with a speed of 26 m/s at an angle of 36 ∘above the horizontal.
Part A
How long does it take for the ball to reach the wall if it is 3.8 m away?
Express your answer using two significant figures.
Part B
How high is the ball when it hits the wall?
Express your answer using two significant figures.

Answers

Answer:Part A: 0.13 s (approx)Part B: 5.1 m (approx)

Given: The initial velocity, `u` of the ball = 26 m/sThe angle, `θ` between the ball's initial velocity and the horizontal

= 36°The horizontal distance from the wall, `x` = 3.8 m

The acceleration due to gravity, `g` = 9.8 m/s²

Part A: To find the time taken by the ball to reach the wall, we need to use the equation of motion which is given as:

x = ut cosθt = x / (u cosθ)

Substituting the given values, we get:

t = 3.8 / (26 × cos 36°)t

≈ 0.128 s

Therefore, the time taken by the ball to reach the wall is 0.13 s (approx)

Part B: To find the height of the ball when it hits the wall, we need to use the equation of motion which is given as:

y = ut sinθ - (1/2)gt²

We know that at the highest point of the projectile motion, the vertical velocity of the ball will be zero. Therefore, we can find the time of flight, `T` from the equation of motion:

y = ut sinθ - (1/2)gt²0

= usinθ - (1/2)gT²T

= (2usinθ) / g

Substituting the given values,

we get:

T = (2 × 26 × sin 36°) / 9.8T ≈ 2.2 s

Therefore, the total time taken by the ball to hit the wall is 2.2 s (approx)

Now, we can use the equation of motion to find the height of the ball when it hits the wall:

y = ut sinθ - (1/2)gt²y

= (26 sin 36°)(2.2) - (1/2)(9.8)(2.2)²y

≈ 5.1 m

Therefore, the height of the ball when it hits the wall is 5.1 m (approx)

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if the heat transfer coefficient is 122 w/m2·k, determine the outlet mean temperature.

Answers

Given heat transfer coefficient as `h` = 122 W/m²K.We know the relation between heat transfer coefficient, length of the heat exchanger `L`.

cross-sectional area of the heat exchanger `A` and logarithmic mean temperature difference `ΔTlm` is given by;`Q = h × A × ΔTlm`Here, we are required to find the outlet mean temperature which can be obtained by applying the formula for the logarithmic mean temperature difference;`ΔTlm = (ΔT1 - ΔT2)/ln(ΔT1/ΔT2)`where `ΔT1` and `ΔT2` are the temperature differences at the hot and cold end of the heat exchanger respectively.

The formula can be rearranged to obtain `ΔT2`;`ΔT2 = ΔT1 - ΔTlm × ln(ΔT1/ΔT2)`As given in the problem, outlet temperature `T1` is not given, but we are given the heat transfer coefficient, so we cannot directly solve the problem using the above formulas without the temperatures. Therefore, the problem is not complete and doesn't have a Hence, the answer to this question is that it is incomplete and we can't determine the outlet mean temperature using the given information.

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describes when forces along the body are transmitted to an adjacent structure, usually the floor or a piece of equipment.

Answers

when forces along the body are transmitted to an adjacent structure, usually the floor or a piece of equipment is called Closed Kinetic chain .

A closed kinetic chain exercise, according to Steindler, occurs when the distal section encounters "substantial" external resistance that prevents unrestricted movement. As a result, neither the proximal nor the distal portions can move in this system.

Unfortunately, Steindler did not provide a numerical value for the word "substantial" in his original definition, which causes misunderstanding and disagreement over what constitutes a true closed kinetic chain movement. Except during isometric exercises, where there is no movement, true closed kinetic chain movement patterns never happen in the extremities.

However, in clinical practise, "resistance is imposed through the distal portion of the extremity and remains fixed to the extremities" is the definition of a closed kinetic chain. The standing squat is the best illustration of this since the feet stay firmly planted and the surface encounters significant resistance from the athlete's bodyweight or additional weight.

Due to its built-in functional stimulation, closed kinetic chain exercises have been used more and more in rehabilitation programmes for more than 20 years.

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help = brainlist pls

help = brainlist pls

Answers

Answer:

A) the liquid particals move slower

Explanation:

vapor has a higher temp and have more energy than liquid so it's not c or d. and liquid has a lower boiling point than vapor

how much does a 125kg person weight on earth

Answers

Answer:

300,000

Explanation:

its basicly adding 125+125+125+125+125+125+125+125+125 or125 x 9

A dropped rubber ball hits the floor with a speed of 8.0m/s andrebounds to a height of 0.25m. What fraction of the initial kinetic energy was lost in the collision?

Answers

About 41.25% of the initial kinetic energy of the ball was lost during the collision. Since the collision is elastic, the total mechanical energy (kinetic plus potential) of the ball-floor system is conserved.

When the rubber ball hits the floor, it undergoes an elastic collision with the floor, where some of the kinetic energy of the ball is lost due to various dissipative processes such as friction, sound, and deformation of the ball. However, since the collision is elastic, the total mechanical energy (kinetic plus potential) of the ball-floor system is conserved.

Let's denote the initial speed of the ball as v1 = 8.0 m/s and the rebound height as h = 0.25 m. We can use the conservation of mechanical energy to find the final speed of the ball, v2, just as it leaves the floor:

Initial kinetic energy of the ball = 1/2 mv1^2

Final potential energy of the ball at maximum height = mgh

Final kinetic energy of the ball just as it leaves the floor = 1/2 mv2^2

Since mechanical energy is conserved, we can write:

1/2 mv1^2 = mgh + 1/2 mv2^2

Simplifying, we get:

v2 = sqrt(v1^2 - 2gh)

Plugging in the values, we get:

v2 = sqrt((8.0 m/s)^2 - 2(9.81 m/s^2)(0.25 m))

v2 = 5.06 m/s

The change in kinetic energy of the ball during the collision is given by:

delta_K = 1/2 m v1^2 - 1/2 m v2^2

Substituting the values, we get:

delta_K = 1/2 (m) (8.0 m/s)^2 - 1/2 (m) (5.06 m/s)^2

delta_K = 0.5m(39.2 - 12.8)

delta_K = 13.2 m

Thus, the fraction of the initial kinetic energy lost during the collision is:

fraction lost = delta_K / (1/2 mv1^2)

Substituting the values, we get:

fraction lost = (13.2 J) / (1/2 m(8.0 m/s)^2)

fraction lost = 0.4125

Therefore, about 41.25% of the initial kinetic energy of the ball was lost during the collision.

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pls help i’ll give brainliest if you give a correct answer!!

pls help ill give brainliest if you give a correct answer!!

Answers

Answer:

C. The distance traveled by an object at a certain velocity.

Explanation:

YW!

Answer:

third option is the most accurate

1.) Describe the shape, movement of particles, and the volume of a solid.

2.) Describe the shape. movement of particles, and the volume of a liquid.

30 points please help me ??? ASAP

Answers

Answer:

Solids have a definite shape and volume, its particles vibrate slowly.

Liquids have no definite shape, the particles move randomly around its container, and they have a fixed volume.

PLEASE HELP ASAP
What conclusions can you draw about the relationship between string length and frequency and other patterns in the characteristics of sound waves, such as pitch and loudness? Write evidence-based claims to support your statements.

Answers

(a) Frequency of sound wave is inversely proportional to string length.

(b) Pitch of a sound depends on the frequency while loudness depends on the amplitude of sound.

Relationship between string length and frequency

The relationship between string length and frequency is given as;

λ = 2L

where;

λ is wavelengthL is length of the string

v = fλ

f = v/λ

f = v/2L

Thus, frequency of sound wave is inversely proportional to string length.

Relationship between pitch and loudness of sound

The pitch of a sound depends on the frequency while loudness of a sound depends on the amplitude of sound waves.

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Look at the table of results in the
diagram. Calculate the value
shown by the letter E.

Look at the table of results in thediagram. Calculate the valueshown by the letter E.

Answers

The value shown by the letter E is 24V.

Define resistance

A material's ability to obstruct the flow of electrical current is referred to as resistance. The capital letter R serves as a symbol for it. A conductor's ability to obstruct the flow of charges through it is referred to as resistance.

A closed loop is referred to as a circuit where electrons can move. The circuit receives power from an electricity source, like a battery. There won't be any electron movement until the circuit is finished, or until it has made a full circuit loop back to the electrical source.

V = IR

For circuit 5, V = E

I = 8A

R = 3

E = 8*3 = 24V

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Answer:

8

Explanation:

Scarlett is playing outside. She knocks her toy train in to the lake. The train has parts that are made of stein and she has a wooden fishing rod. How can the fishing rod be changed to help her find the train?

Answers

In order to help Scarlett retrieve her toy train from the lake, the wooden fishing rod can be modified or adapted by Attaching a magnet, Adding a hook or grappling device, and Using a net or scoop.

Attaching a magnet: Scarlett can attach a strong magnet to the end of the fishing rod. Since the train contains parts made of steel, the magnet will be attracted to the metallic components. By carefully maneuvering the magnet with the fishing rod, Scarlett can potentially attract and retrieve the train from the water.

Adding a hook or grappling device: Scarlett can affix a hook or grappling mechanism to the fishing rod. By casting the hook near the location where the train fell into the lake and skillfully maneuvering the rod, she can attempt to hook onto the train or one of its parts. With a successful hook, she can slowly reel in the train and bring it back to shore.

Using a net or scoop: If the toy train is floating on the surface of the lake or near the shallow edges, Scarlett can attach a net or scoop to the end of the fishing rod. By carefully positioning the net or scoop around the train, she can scoop it up and safely retrieve it without causing any damage.

It's important to note that the success of these modifications will depend on factors such as the depth of the lake, the accessibility of the train, and the size and weight of the fishing rod. Additionally, adult supervision or assistance may be necessary to ensure safety, especially if the lake is deep or poses any hazards.

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Which orgen in the urinary system regulates the water content and remove the toxic waste products from the blood?

Which orgen in the urinary system regulates the water content and remove the toxic waste products from

Answers

Answer:

The Kidneys

Explanation:

The Kidneys remove the toxic stuff that you dont need anymore. Therefore the kidneys rather than the everything else removes blood and toxic waste.

what are conspiracy theories?​

Answers

Answer:

They are theories which have a really dark twist or meaning behind the whole theory, some conspiracy theories can also lead to a cliffhanger.

Other Questions
all of the following are examples of physical properties,except Which of the following proteins is NOT required for homologous recombination?A) HfrB) RecAC) proteins having helicase activityD) endonuclease what Is the expanded notation for 8013 Example 3: 1.00L of a gas is at Standard Pressure of 1.0atm, what is the new pressure of the gas if thevolume decreases to 0.473L children feel pain just as much as adults do. what is the major principle in pain management in the pediatric population? Which of the following represents an interaction between the biosphere and the atmosphereA. Precipitation is absorbed into the groundB. Plants take in carbon dioxide from the airC. Ice melts the causing sea levels to riseD. Humans drink springwater Select true/false for each of the following statements regarding copper & copper alloys:: (a) copper has a higher elastic modulus than aluminum. (b) the density of copper is closer to that of aluminum than it is to iron. (c) bronze is an alloy of copper and zinc. (d) copper and its alloys form a green tarnish over time, consisting of sulfides and carbonates. (e) copper is relatively resistant to corrosion by neutral and even mildly basic water, making it useful for freshwater plumbing applications. social facilitation refers to the tendency of people to perform ____ on simple tasks and ____ on complex tasks when others are present. Which Pythagorean identity is correct?O sin(e)+1=cos(e)O tan(e)+1=sec(e)O 1-cot()-csc(e)O 1-cos(e)-tan(e) If you had been president Roosevelt, would you have bombed the concentration camps to save jaws? Or was his strategy of winning the war quickly to save the Jews a better approach? 35 POINTS PLEASE PLEASE HELP (3x-5y^2 squared. The sequence of events in any story is called its _____.characterizationplotsettingtheme To understand the meaning of capacitance and ways of calculating capacitance When a pair of conducting objects carry opposite charges of magnitude q, an electric field exists between the conductors, and the potential difference between the objects, V, is proportional to q. Such an arrangement is called a capacitor. The ratio of charge to potential difference is called the capacitance C of this capacitor: C=q/V. Capacitance is one of the central concepts in electrostatics, and capacitors are essential elements of electronic circuits. In a capacitor, the two conducting objects are called electrodes, and the relevant potential difference is the potential difference between these two electrodes. This tutorial is designed to help you understand capacitance by assisting you in calculating the capacitance of a parallel-plate capacitor, which consists of two plates each of area A separated by a small distance d with air or vacuum in between. In figuring out the capacitance of this configuration of conductors, it is important to keep in mind that the potential difference is the line integral of the electric field between the plates.Assume that charge q is placed on the top plate, and +q is placed on the bottom plate. What is the magnitude of the electric field E between the plates? Express E in terms of q and other quantities given in the introduction, in addition to 0 and any other constants needed.What is the potential difference Vbetween the plates of the capacitor?Now find the capacitance C of the parallel-plate capacitor The new PS5 costs $500. The only place left to buy itis at the Best Buy in Washington state. Washingtoncharges a 6.5% sales tax. How much would you need topay for the PS5 in total? Which of the items listed below not an example of a political motivation?Question 1 options:a) Powerb) Peacec) Caringd) Prosperitye) Ideology Do you think these symbiotic relationships take place in only one ecosystem, such as a desert? Or do these relationships exist in multiple ecosystems? Construct an explanation that predicts patterns of symbiosis in multiple ecosystems. ancient Romans made many contributions to modern architecture. Which one do you see pictured hereA-domeB-lighthouse C-aqueductD-watermill When converting from moles into atoms, what number should you put on the top of the conversation factor? Writing PromptWhich tent has the greater volume? Please write a short letter to Jessica to help herchoose the tent with the greatest volume. Make sure to include your steps, calculations, and useletter format: Date, Salutation, Body, and Closing. In addition, please use complete sentences andacademic vocabulary. Use S.E.E. format.T3 ft6 ftCylinderFormulaTent A8 ft6 ftSimplifyTriangular PrismTent B-5 ft-S: Statement: Which tent has the greater volume?E: Evidence: Include your formulas and calculations.E: Explain: Explain your decision and please don't forget to include theunits.7 ftMultiplyUnitVolumeDivide What potential obstacles do you face in establishing urgency forchange within your organization? How might you circumvent theseobstacles?