A parallel plate capacitor with circular plates of radius R = 16.0 cm and plate separation d = 9.00 mm is being charged at the rate of 8.00 C/s.What is the displacement current through a circular loop of radius r = 21.00 cm centered on the axis of the capacitor? 8.00 You are correct.What is the displacement current through a circular loop of radius r = 3.00 cm centered on the axis of the capacitor?What is the magnitude of the magnetic field between the capacitor plates at a radius r = 3.00 cm from the axis of the capacitor?

Answers

Answer 1

The displacement current is 0.28125 C/s and the magnitude of the magnetic field is 2T.

Magnetic field strength is a quantitative measure of the strength or weakness of a magnetic field.

SI unit for the magnetic field is Tesla (T).

According to the displacement current and the Biot-Savart law, the displacement current and magnetic field can be calculated.

radius of the circular plate = R = 16.0

radius of circular loop = r = 21.0 cm

rate of charge =  (dq/dt) = 8 C/s

displacement current id = (dq/dt) * [tex]\pi r^{2}[/tex] / [tex]\pi R^{2}[/tex]

since r > R therefore in displacement current the formula can be changed as

id = (dq/dt) * [tex]\pi R^{2}[/tex] / [tex]\pi R^{2}[/tex]

id = (8) * [tex]\pi 16^{2}[/tex] / [tex]\pi 16^{2}[/tex]

id = 0.28125 C/s

magnetic field can be calculated by B = μ₀I/2πr

μ₀ = 4[tex]\pi[/tex] * [tex]10^{-7}[/tex] H/m

i = id = 0.28125 C/s

r = 3.0 cm

B = {4[tex]\pi[/tex] * [tex]10^{-7}[/tex] * 0.258125} / 2*[tex]\pi[/tex]*3*[tex]10^{-2}[/tex]

B = 1.87 T

B ≈ 2 T

The displacement current through a circular loop of radius r = 3.00 cm is 0.28125 C/s.

The magnitude of the magnetic field between the capacitor plates at a radius r = 3.00 cm from the axis of the capacitor is 2T.

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Related Questions

Two weights are attached by a rope and suspended from pulleys. The weights differ in two cases, but the systems are at rest in both cases.

Answers

As the force exerted by the mass in the both cases was same on the both sides so that the object was said to be in the rest condition so they are said to be same in both conditions.

define pulleys ?

A wheel on an axle or shaft known as a pulley is used to transfer power from the shaft to the cable or belt or to sustain movement and direction change of a taut cable or belt. When a pulley is supported by a frame or shell and is used to guide a cable or apply force rather than transmit power to a shaft, the supporting shell is referred to as a block and the pulley may be referred to as a sheave.

For the purpose of locating the cable or belt, a pulley may include a groove or grooves between flanges around its circle. A rope, cable, belt, or chain may serve as the driving component of a pulley system.

As the force exerted by the mass in the both cases was same on the both sides so that the object was said to be in the rest condition so they are said to be same in both conditions.

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PLEASE HELP
What was the hiker's average speed for the entire hike?

0.10 km/h

5 km/h

7.1 km/h

10 km/h

Answers

The average speed of the hiker for the entire hike is 10 km/hr. Average speed indicates the average speed during the complete course of a particular journey.

What is average speed ?

By dividing the total distance traveled by the total amount of time it took to traverse that distance, one can get the average speed of an object. The rate at which an object's position changes in any direction is known as sped. Since speed simply has a direction and no magnitude, it is a scalar quantity.

The average speed = Total distance covered / Total time taken

Total distance = 5 + 15 + 5 + 10 = 35 km

Total time = 30 + 90 + 30 + 60 = 210 mins = 3.5 hrs

According to the diagram provided, the average speed will be:

= 35 / 3.5

= 10 km/h.

Hence, the average speed is 10 km/h.

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a mixture can be classified as a solution, a suspenstion, or a colliod based on the size of its............particles

Answers

Answer:

large

Explanation:

A mixture can be classified as a solution, a suspension, or a colloid based on the size of its large particles.

Hope it helps!

2. How much force is needed to accelerate a truck with a mass of 2,200 kg at
an acceleration of 3.8 m/s²?
I

Answers

Answer:

8360N

Explanation:

F = ma

= 2200kg × 3.8 m/s²

= 8360 N

Why is Coulomb's proportionality constant so much larger than Newton's?

Answers

Question:

Why is Coulomb's proportionality constant so much larger than Newton's?

Answer:

Coulomb's proportionality constant is much larger than Newton's because it represents the force between two charges instead of the force between two masses. Since electric forces are much stronger than gravitational forces, Coulomb's constant is significantly larger than Newton's.

If you have any additional questions or need further assistance, please let me know.

Choose two different visual media items that express opinions about trade agreements, barriers to trade or free trade. The resource list provides some examples of visual media and guidance on where to locate them on the Internet. Be sure to include the media item, or directions on how to access it, with your assessment. Make a note of the key events and ideas evident in the item, the creator and date of origin, and be sure to read any captions or quotes that are included.
Analyze the message delivered by each of your visual media items. For each item, respond to the following questions in complete sentences. Cite evidence from the resource and the lesson to justify your responses.

What is the issue discussed in the visual media item you chose?
What is the creator’s viewpoint on the issue? What details in the resource support the author’s claim? Provide evidence from the item to support your response.
Does this viewpoint reflect a commitment to free trade or to protectionism? Explain your answer and include evidence from the item to support your response.
Do you agree or disagree with the viewpoint of the item you chose? Why or why not?

Respond to the following reflection questions based on your understanding of free trade and protectionism.

What are two benefits and two costs of free trade?
What is protectionism and why would a country base trade policy on it? Explain at least two reasons.

Answers

The first icost regarding free trade is that it nvolves the potential costs of adjustment in the industry. The second involves the possibility that more varieties will increase transaction costs.

What is free trade?

Free trade can compel regional industries to up their game and rely less on government support. They have the power to attract new investments, expand markets, and boost GDP. FTAs can expose a nation to issues with local employment, the degradation of natural resources, and the loss of traditional livelihoods.

The first cost has to do with potential industry adjustment costs. The second is the potential for higher transaction costs as more varieties are available.

Government policies that impede international trade in order to support domestic industries are referred to as protectionism. However, they can also be implemented due to safety or quality concerns. Protectionist policies are typically implemented to increase economic activity within a domestic economy.

By enforcing tariffs or other trade restrictions, a protectionist trade policy enables the government of a nation to support domestic producers and thereby increase domestic production of goods and services.

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7. what is the maximum angle of climb (steady velocity climb) for a turbojet powered aircraft with an (l/d)max equal to 10.5 and a gross weight of 8000 lb. if it is producing a thrust of 2000 lb.?

Answers

The maximum angle of climb for a turbojet powered aircraft is 8.97°.

Let us consider the velocity is steady.

T is thrust, W is weight, L for lift force, D for drag and θ is angle of climb

From the given information, we can write the below equations,

T = D + W sinθ -----(1)

L = W cosθ -----(2)

Given that, L/D = 10.5

D = L/10.5 -----(3)

Placing (3) in (1), we have

T = L/10.5 + W sinθ

T = (W cosθ)/10.5 + W sinθ

cosθ + 10.5 sinθ = T/W * 10.5

cosθ + 10.5 sinθ = (2000/8000) * 10.5

cosθ + 10.5 sinθ = 2.625

Solving the above equation, we get θ = 8.97°

Thus, the maximum angle of climb is 8.97°.

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A coworker did not clean his work area before going home this could cause an accident so you quickly clean up the next day you see the cowoker. what would you be most and least likey to do​?

Answers

Inform him that he should be more cautious because his work environment could have resulted in an accident. Inform him that you have cleaned up and that he owes you a favour.

What is a work environment ?

The setting, social features, and physical conditions in which you perform your job are referred to as your work environment. These factors can have an impact on employee happiness, workplace relationships, collaboration, efficiency, and health.

A workplace culture is the set of shared values, belief systems, attitudes, and assumptions that employees share. Individual upbringing, as well as social and cultural context, influence this.

Taking care of the workplace environment boosts productivity, aids in talent retention, and, most importantly, is beneficial to the company's overall mental health. No job is perfect, not even those with an amazing office, a high salary, or entirely vocational tasks.

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planet 1 has mass 3m and radius r, while planet 2 has mass 4m and radius 2r. they are separated by center-to-center distance 8r. a rock is placed halfway between their centers at point o. it is released from rest. ignore any motion of the planets. Calculate the magnitude of the acceleratiom of the rock (in m/s2) the moment it is released, using M-2x10 kg and R= 25 » 106km 1-25 10 -2.5E 7 X Attempts Real

Answers

The acceleration of the rock half-way between two planets is 1.086 m/s².

What is the acceleration of rock?

The parameters provided;

3M radius of planet A.

R mass of planet A.

4M radius of planet B.

2R distance between the two planets,

r = 8R

Newton's universal gravitational law is used to calculate the gravitational force half-way (4R) between the two planets;

Fg = GmAmB/r²\

Fg = G(2M x 4M)/(4R)²

Fg = 12GM²/16R²

Fg = (12 x 6.67 x 10⁻¹¹ x (7.3 x 10²³)²) / 16(5.8 x 10⁶)

Fg = 7.925 x 10²³N

The magnitude of the rock's acceleration is calculated as follows using Newton's second law of motion:

F = ma

a = F/m

a = 7.925 x 10²³/7.3 x 10²³

a = 1.086m/s²

As a result, the rock's acceleration is 1.086 m/s².

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what is the ratio of ey,final, the maximum value of the y-component of the electric field immediately following the last polarizer, to eo, the amplitude of the electric field oscillations in the incident polarized beam?

Answers

That ratio is 2 .

What is ratio?

A ratio is the  comparison of the  two numbers bydivision.

Taking the first two outputs, or the  -1/8 and -1/4, we can divide not the second one by the first one to find the

ratio:

-1/4-1/8

When dividing fractions, we multiply by the reciprocal:

-1/4x-8/1

To multiply fractions, multiply straight across:

(-1x-8)/(4x1) 8/4=2

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as the length of a muscle increases from its resting length of 100mm to 150mm which of the following changes in force occur? passive force increases and active force decreases passive force increases and active force increases passive force decreases and active force decreases passive force decreases and active force increases

Answers

Passive strength (passive tension or passive stiffness) typically increases when muscle length is greater than at rest, whereas active strength (also called active tension or active stiffness) is typically decreases. This relationship is known as the relationship between muscle length and tension.

The relationship between length and tension refers to the relationship between the length of a muscle and the force it produces.

In general, as muscle length increases, the connective tissue within the muscle (such as tendons and fascia) stretches, thus increasing the passive force generated by the muscle.

At the same time, muscles are less likely to generate force when stretched, so the active force generated by the muscle normally decreases.

So the correct answer to the question is:

Passive force increases and active force decreases.

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The body is lowered to slide from the top of a smooth steep plane inclined at 45°. How long will it take the body to go down the plane of length 2.82m?​

Answers

Answer:

12tfr

Explanation:

as per as calculations

Calculate the half-life of a radioactive substance whose disintegration constant
happens to be 0.003 s-¹

Answers

231 years is the half-life of a radioactive substance whose disintegration constant happens to be 0.003s⁻¹.

Half-Life: It is the amount of time it takes for half of a Radioactive particular sample to react particular quantity requires to reduce its initial value to half. That means the time taken by the radioactive substance or isotopes to decay half.

Half-Life Formula :t₁/₂ = 0.693/λ

Where as t1/2 is Half-Life of a radioactive substance

λ= decay constant  

We have λ=0.003s⁻¹ substitute in the formula

t1/2=[tex]\frac{0.693}{0.003}[/tex] = 231.

Hence 231 years is the half-life of a radioactive substance whose disintegration constant happens to be 0.003s¹.

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In figure 1 airbag inflation rates are represented by the

Answers

The typical air bags from 1997 and 1998 automobiles are compared in Figure 1. The values depicted are the average of the information provided by 11 separate cars.

What do we mean by inflation?

Inflation is a unit of measurement used to determine how much a group of goods and services have increased in cost over a given period of time, usually a year. Possibly one of the most well-known economics terms. Because of inflation, nations have gone through protracted periods of instability. In the field of economics, inflation refers to an increase in the overall cost of goods and services in a country.

What is the causes of inflation?

The majority of economists concur that chronic excessive expansion in the money supply is the primary driver of high inflation and hyperinflation, both of which have profoundly disruptive consequences on the actual economy. John Taylor, a Stanford economist, claims that when the Federal Reserve sets an interest rate that is too low or when the expansion of the money supply is too rapid, inflation rises. As of right now, it is moving too quickly.

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please help me Collage and Career prepertation

Answers

Middle school grades


Explanation: colleges only look at high school transcript or related

What distance will a care cover while uniformly accelerating from 12m/s to26m/s in 14 seconds?

Answers

266 m distance will be covered by a car uniformly accelerating from 12m/s to 26m/s in 14 seconds.

Uniform acceleration: If a body is travelling by increasing its velocity in equal intervals of time then that body is said to be in uniform acceleration.

s=ut+1/2 at² where as s= distance , u = initial velocity, t= time

to calculate the uniform acceleration a=[tex]\frac{v-u}{t}[/tex] here v= final velocity u= initial velocity.

we have v=26ms and u=12m/s

a=[tex]\frac{26-12}{14}[/tex] = 1 a=m/s².

now substitute a =1 in formula s=ut+1/2 at²

we get s=12(14)+1/2(1)(14)²= 266m

 Hence the distance covered by the  car which is uniformly accelerating from 12m/s to 26m/s in 14 seconds is 266 m.

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ax = 3.0 m/s2 , ay = -4.5 m/s2 . Find the vector's magnitude and direction

Answers

The vector's magnitude is 5.4m/s²and direction is 56.30°.

Is a vector directional and has a magnitude?

We will talk about vectors and scalars in this section. Quantities called vectors have both a magnitude and a direction. The indication of a vehicle's motion serves as a practical example of a vector.

Given,

ax = 3.0 m/s², ay = -4.5 m/s²

a = [tex]\sqrt{a^{2} _{x} + a^{2} _{y} }[/tex]

a = [tex]\sqrt{3^{2} +-4.5^{2} }[/tex]

a = [tex]\sqrt{9+20.25}[/tex]

a = [tex]\sqrt{29.25}[/tex]

a = 5.4m/s².

A vector's direction can be established by

α = tan⁻¹ y/x

α = tan⁻¹-4.5 / 3.0

α = tan⁻¹(1.5)

α = 56.30°.

The angle that the vector makes with the horizontal axis, or the X-axis, determines the vector's direction. By counterclockwise rotating the vector's angle at its tail toward the east, one can determine the vector's direction.

The vector's direction is therefore 23.375° away from the X-axis, i.e., the vector Ax = 26 m/s², Ay = 10 m/s² points in the direction of the North-East.

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1. The figure below shows a partial profile of a roller-coaster. The coaster begins from rest at position A at height ha
30.0 m and hb 10.0 m.

a) Determine the speed of the coaster at position B. Friction and air resistance are negligible.

b) If the efficiency of the coaster is 55%, what would be the value of the coaster speed at point B?

Answers

The speed of the coaster at position B is 12mvB2. The value of the coaster speed at point B 3.016 m.

What is speed?

Speed is the rate in which something is traveling.

The speed of the coaster at position B can be determined using the work-energy theorem. According to the theorem, the work done by the gravitational force is equal to the change in kinetic energy. Therefore, the kinetic energy of the roller coaster at point B is equal to the potential energy at point A.

The potential energy at point A is equal to mghA, where m is the mass of the roller coaster, g is the acceleration due to gravity, and hA is the height of point A. Similarly, the kinetic energy at point B is equal to 12mvB2, where vB is the speed of the roller coaster at point B.

Therefore, the speed of the roller coaster at point B can be calculated as follows:

vB = √(2ghA/m) = √(2*9.8*30/m) = 5.48 m/s.

b) The efficiency of the roller coaster is 55%, so the actual speed of the roller coaster at point B would be 55% of the calculated speed. Therefore, the actual speed of the roller coaster at point B would be 5.48 * 0.55 = 3.016 m

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which of the following cell components are are most involved in determing an organisms traits?

Answers

The :Gene, chromosomes, and nucleus is the cell components are are most involved in determining an organisms traits.

What is meant by organism traits?

As it relates to genetics, a trait is a unique quality about a person. Genes, environmental influences, or a combination of both can influence traits. Qualitative traits, like eye color, can also be quantitative (such as height or blood pressure).

Your traits, which are features or characteristics that you inherit from your parents, are determined by the information carried by your genes (say: trates). In the human body, each cell has between 25,000 and 35,000 genes.

A trait is a unique attribute, propensity, or characteristic that someone, something, or both have. In those early months, many of our personality traits are formed. Humans are creative beings. Synonyms: trait, quality, feature, attribute additional words for characteristic

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What is the coefficient of friction?

Answers

The measure of the amount of friction existing between two surfaces is known as the coefficient of friction.

When you find a coefficient of friction, you’re calculating the resistance to motion at the interface of two surfaces of similar or dissimilar materials.

The power of this friction force depends on the materials that are pressing against one another. For instance, a steel bar will slide much more easily on a sheet of ice than on a slab of concrete. In these examples, the steel-on-ice combination has a much lower coefficient of friction.

Friction can wreck a piping system if it is unchecked. Reducing a pipe’s coefficient of friction is an important way to preserve metal.

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two parallel conducting plates are 15 cm apart, each with an area of 0.75 m2. the left one has a charge of -0.225 c placed on it, while the right has a charge off 0.225 c. what is the magnitude and direction of the electric field between the two?

Answers

A measurement of 5 meters is to the north. A vector quantity with the direction and magnitude of 5 meters north is 5 meters.

What do you meant by magnitude and direction?

The object's speed is defined as the magnitude (or value) of the velocity. The direction that the object is travelling in is indicated by the velocity vector. Imagine an object travelling along the path the circle traces out. It would be better to draw the circle.

The vector, as we all know, is an object that possesses both magnitude and direction.  An arrow stands in for a vector. How can the magnitude of a vector be determined.

The length of the arrow denotes the magnitude or strength of the vector, and the direction, or arrowhead, denotes the direction in which the vector is moving.

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at the end of chapter 1, nick sees gatsby near the water in front of his property. gatsby appears to stretch his arms toward a light on the end of the dock across the water. what color is the light?

Answers

Gatsby appears to stretch his arms toward a light on the end of the dock across the water. the color of the light is green.

In the first chapter of the book, Nick first meets Jay Gatsby. Gatsby is remaining in his gallery holding his arms out to approval across the sound. It turns out that this green light is the one on the dock of Daisy Buchanan's house.

The green light that Gatsby watches across the water, which simultaneously represents Gatsby's love for Daisy, money, and the American Dream, is one of The Great Gatsby's most memorable images. Before Nick has even met Gatsby, we see the green light for the first time at the end of Chapter 1, and we immediately recognize it as a mysterious and potent object with significant symbolic significance for Gatsby. Gatsby bought his house so that he could see the green light every night because it hangs at the end of Daisy's dock.

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a bullet of mass m1 is fired towards a block of mass m2 initially at rest at the edge of a frictionless table of height h as in the figure. the initial speed of the bullet is vi . consider two cases, a completely inelastic one and an elastic one,where the bullet bounces off the block.

Answers

The ratio of time of flight for inelastic collision to elastic collision is 1 : 2.

An inelastic collision is a type of collision in which the kinetic energy does not remain the same before and after the collision, while an elastic collision is a type of collision in which the kinetic energy remains the same before and after the collision.

initial kinetic energy = final kinetic energy(1/2)*m*u² = (1/2)*m*v²

mass of the bullet, = m₁

mass of the block, = m₂

initial velocity of the bullet, = u₁

initial velocity of the block, = u₂ = 0

final velocity of the block = v

When inelastic motion is considered:

final velocity of the b can be calculated by the formula,

m₁u₁ + m₂u₂ = v ( m₁ + m₂)

v = ( m₁u₁ + m₂u₂ ) / ( m₁ + m₂)

According to the equation of motion,

v = u + at

u = o

v = at ( a=g )

t = v/g

t = ( m₁u₁ + m₂u₂ ) / {g*( m₁ + m₂)}

When  elastic motion is considered:

final velocity will be given by ,

m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂

Since u₂ = 0

m₁u₁ = m₁v₁ + m₂v₂

the block undergoes unidirectional motion,

so u₁ + (-v₁) = u₂ + v₂

v₁ = u₁ - v₂

therefore, m₁u₁ = m₁(u₁ - v₂) + m₂v₂

v₂ = 2m₁u₁ / ( m₁ + m₂)

According to the equation of motion,

v = u + at

u = o

v = at ( a=g ) ( v=v₂) ( t=t₂)

t₂ = v₂/g

t₂ = 2m₁u₁ / g( m₁ + m₂)

Ratio of t₁ and t₂ is  ( m₁u₁ + m₂u₂ ) / {g*( m₁ + m₂)} / 2m₁u₁ / g( m₁ + m₂)

t₁ : t₂ = 1 : 2.

The question is incomplete, the complete question is:

A bullet of mass M1 is fired towards a block of mass m2 initially at rest at the edge of a frictionless table of height h as in the figure. The initial speed of the bullet is vi . Consider two cases, a completely inelastic one and an elastic one, where the bullet bounces off the block. inelastic case elastic case a bullet inside no bullet inside A B A' B' What is the ratio of the flight time

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In music, two notes are said to be an octave apart whenone note is exactly twice the frequency of the other. Suppose youhave a guitar string playing frequency fo.a) To increase the frequency by 4 octave(s), to 16fo, by what factor would you have toincrease the tension?Tv/To= ?b) To increase the frequency by 4 octave(s), to 16 fo, by what factor would you have todecrease the length?

Answers

To increase the frequency by 4 octave(s), to 16fo, by a factor of 16 we have to increase the tension. To increase the frequency by 4 octave(s), to 16fo, by a factor of 1/16 we have to decrease the length.

Is the frequency doubled at the octave?

An octave is a logarithmic unit for ratios between frequencies in electronics, with one octave equal to a doubling of frequency. For instance, 80 Hz is the frequency one octave above 40 Hz. The phrase comes from the Western musical scale, in which an octave represents a frequency doubling.

Finding octaves between two frequencies: how do you do it?

You can get the number of octaves between two frequencies, such as the upper and lower bounds of a band of noise, by first determining their ratio, then calculating the log of it, and then dividing that by the log of 2.

What is an octave's straightforward definition?

A musical interval is called an octave. Both in terms of music and physics, an octave is defined as An octave is the distance in pitch between a note, such as C#, and the note that follows it with the same name but is either higher or lower.

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what can you conclude about the time it takes two balls of different mass and different radius to roll down an incline?

Answers

Therefore, the time required for an object t roll down an inclination plane will shorten as the weight (body) of the object increases.

What is the best way to define mass?

A measurement of how much matter is present in or makes up a physical body. In physical laws, an object's mass is crucial to Newton's laws because it influences the force needed to accelerate it and, consequently, how much inertia it has.

How are masses determined?

Digital scientific weights and beams balances, like a triple beam balance, are examples of several sorts of balances. The metric system uses both grams or kilograms as the basic unit of measurement for mass.

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The table shows data about lightning and thunder.

Lightning and Thunder Data
Occurrence Lightning
Observed Thunder Heard Distance to
Lightning (m)
A 8:00:00 p.m. 8:00:01 p.m. 330
B 5:30:00 p.m. 5:30:04 p.m. 1,320
C 6:45:00 p.m. 6:45:06 p.m. 1,980
D 7:20:00 p.m. 7:21:00 p.m. 19,800

According to the table, how fast does the sound of thunder travel?

Answers

Answer:

Explanation:

If the question is set up correctly here, we can solve this correctly.

Lightning and Thunder Data

Occurrence Lightning

Observed Thunder Heard Distance to ---- We need this

Lightning (m)

A 8:00:00 p.m. 8:00:01 p.m. 330

B 5:30:00 p.m. 5:30:04 p.m. 1,320

C 6:45:00 p.m. 6:45:06 p.m. 1,980 ---- We need this

D 7:20:00 p.m. 7:21:00 p.m. 19,800

6:45:06 - 6:45:00 = 6

So 6 seconds. We also get 1980. So we do 1980/6, which is 330(m)?

If the unit is meters, then the sound of thunder travels at 330(m)

stars with more than 15 times the mass of our sun usually evolve from the main sequence to red giants t or f

Answers

Without halting, while getting cool at about constant brightness, the statement goes.

What is the name of the sun?

Even though it is a star, and our own local star at that, our sun lacks a widely used and distinctive English proper name. We English people just refer to it as the sun. English speakers occasionally refer to our sun as Sol.

What really is sun in living?

It emits heat and light, also known as solar energy, which enables life to live on Earth. To flourish, plants require sunshine. Humans and other animals alike depend on plants for nourishment as well as the oxygen they release. Earth would freeze absent solar heat.

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The complete question is-

Stars with more than 15 times the mass of our Sun usually evolve from the main sequence to red giants.

A car travelling at 5.0 m/s starts to speed up. After 3.0 s its velocity has increased to 11 m/s. a) What is its acceleration? (Assume it to be uniform.) b) What distance does it travel while speeding up?​

Answers

initially, the car is traveling at 5.0 m/s.

so, we know acceleration for changing velocity is :

a = (v-v[tex]_{o}[/tex])/t ..........(i)

where v is the final velocity

v[tex]_{o}[/tex] is the initial velocity

t is the time taken to change velocity

Now, as per the question :

initial velocity, v[tex]_{o}[/tex]=5.0 m/s

final velocity, v =11 m/s

time taken, t = 3 s

putting the values in equation (i),

a = ( 11-5 )/3

a = 2 m/s²

Therefore, a, after 3 s, is  2 m/s².

A ship’s wheel is rotated . Its radius is 22 cm. How far would a point on the wheel’s edge move in this rotation?

Answers

The distance traveled by the wheel edge by one rotation of the wheel, if the radius is 22 cm, is  138.16 cm.

What is rotation?

The circular movement of an object about a primary axis is referred to as rotation or spin. A revolving object in two dimensions only has one conceivable central axis and can revolve either clockwise or counterclockwise. There are countless conceivable central axes and rotating orientations for a three-dimensional object.

Given:

The radius of the wheel, r = 22 cm,

The distance traveled by the point on the wheel's edge in one rotation will be equal to the circumference of the wheel.

Calculate the circumference of the circle by the formula given below,

Circumference of circle = [tex]2\pi \ r[/tex]

Substitute the values,

C = 2 × 3.14 × 22

C = 138.16 cm

Therefore, the distance traveled by the wheel edge by one rotation of the wheel, if the radius is 22 cm, is  138.16 cm.

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Explanation:

Refer the explanation in the picture

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