the magnetic flux through a coil of wire containing two loops changes at a constant rate from -19 wb to 72 wbwb in 0.36 s.
what is the magnitude of the amf induced in the coil?

Answers

Answer 1

The magnitude of the EMF induced in the coil of wire containing two loops is approximately 505.56 volts.

To determine the magnitude of the EMF induced in the coil of wire containing two loops, we can use Faraday’s Law of Electromagnetic Induction. Faraday's Law of Electromagnetic Induction states that when there is a change in magnetic field through a conductor, an electromotive force (EMF) is induced in the conductor, which in turn leads to the flow of an electric current. The formula is given by:

EMF = N * ΔΦ / Δt

where N is the number of loops, ΔΦ is the change in magnetic flux, and Δt is the time interval.

Here, N = 2 loops, ΔΦ = (72 wb - (-19 wb)) = 91 wb, and Δt = 0.36 s.

EMF = 2 * 91 wb / 0.36 s = 182 wb / 0.36 s ≈ 505.56 V

So, the magnitude of the induced EMF in the coil is approximately 505.56 volts.

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Related Questions


Need help please help.

Need help please help.

Answers

Answer:

below

Explanation:

that is the procedure above

Need help please help.

Gino walks 300 meters East, then turns and walks 400 meters North. What is the distance traveled by Gino?

Answers

The total distance traveled by Gino is 700 meters.

According to this question, Gino walks 300 meters in the East direction, then turns and walks 400 meters in the North direction.

The total distance traveled by Gino can be calculated by summing the distance Gino walked Eastward and Northward as follows:

Total distance = distance traveled Eastward + distance traveled Northward

Total distance = 400m + 300m

Total distance = 700m

Therefore, the total distance traveled by Gino is 700 meters.

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On a weed-cutting device, a thick nylon line rotates on a spindle at 3000 rpm.
a. Determine the angular speed.
b. Determine the linear speed (to the nearest inch per minute) of a point on the tip of the line if the line is 5 in.
Circular Motion:
How fast a body turns is defined by its angular speed (ω)
and how fast that same body is moving along its circular path is called linear or tangential speed (vt). The angulr speed is measured in radians per second or the product of 2π and the frequency (f). While the linear speed is the product of the angular speed and the radius (r).

Answers

a. The angular speed of the rotating nylon line is 314.16 radians per minute.

b. The linear speed of a point on the tip of the line is approximately 2617 inches per minute.

a. What is the angular speed of the rotating nylon line?

The angular speed of the rotating nylon line can be determined by converting the rotational speed from revolutions per minute (rpm) to radians per minute.

Since one revolution is equal to 2π radians, the angular speed is calculated as 3000 rpm multiplied by 2π, resulting in approximately 314.16 radians per minute.

b. How fast is a point on the tip of the line moving in inches per minute?

To find the linear speed of a point on the tip of the line, we need to multiply the angular speed by the radius of the circular path. Given that the line is 5 inches long, the radius is half of that, or 2.5 inches.

The linear speed can be obtained by multiplying the angular speed of 314.16 radians per minute by the radius of 2.5 inches, resulting in approximately 785.4 inches per minute.

Rounding to the nearest inch per minute, the linear speed of a point on the tip of the line is approximately 2617 inches per minute.

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please help me solve this and give an explanation​

please help me solve this and give an explanation

Answers

Answer:

6.5

Explanation:

Because 1.5+5=6.5

the resistance of a conductor does not depend on its group of answer choices mass. length. cross-sectional area. resistivity.

Answers

The resistance of a conductor is a fundamental property that describes how easily electrical current can flow through it. It is measured in units of ohms (Ω) and is dependent on several factors. However, the resistance of a conductor does not depend on its mass, as mass is not a property that affects electrical flow.

The length of the conductor is an important factor in determining its resistance. The longer the conductor, the greater the resistance, as the electrons have to travel a longer distance and encounter more obstacles along the way. This is why long wires are generally less desirable for electrical applications.

The cross-sectional area of the conductor is another factor that affects resistance. The larger the area, the lower the resistance, as more electrons can flow through the conductor at once. This is why thicker wires are often used for high-current applications.

Finally, resistivity is a property of the material that the conductor is made of and is a measure of how well it resists the flow of electrons. The higher the resistivity, the greater the resistance of the conductor. Materials such as copper and aluminum are commonly used for electrical applications because of their relatively low resistivity.

In conclusion, the resistance of a conductor is affected by its length, cross-sectional area, and resistivity. Mass, on the other hand, is not a factor that affects the flow of electrons and therefore has no effect on the resistance of a conductor.

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A child goes down a slide, starting from rest. If the length of the slide is 2 m and it takes the child 3 seconds to go down the slide, what is the child's acceleration?

Answers

Answer:

0.44 m/s^2

Explanation:

initial velocity = 0  (since the child starts from rest)

distance covered by the child = 2 m (the length of the slide)

time taken = 3 sec

acceleration of the child = ?

using Newton's equation of motion

s = \(ut + \frac{1}{2}at^{2}\)

where s is the distance covered by the child

u is the initial velocity

a is the acceleration

t is the time spent

substituting values, we have

2 = 0(3) + \(\frac{1}{2}a*3^{2}\)

2 = 9a/2

4  = 9a

a = 4/9 = 0.44 m/s^2

Select the correct answer.
Which statement is true?
A.
Inertia causes bodies to slow in their motion, unless they’re pushed by a force.
B.
Inertia resists changes to the state of motion of a body.
C.
Inertia decelerates a body.
D.
Inertia is due to friction.

Answers

Pretty sure it is B.
Because inertia is a tendency to do nothing or remain unchanged.

This is a question on my physics test :)
Can any1 help me? if you can, please give an explanation​

This is a question on my physics test :)Can any1 help me? if you can, please give an explanation

Answers

Answer:

119.6 J/Kg°C

Explanation:

Data obtained from the question include:

Mass of substance (ms) = 170 g

Initial temperature of substance (Ts) = 120 °C

Volume of water = 200 mL

Initial temperature of water (Ts) = 10 °C

Temperature of the mixture (T2) = 12.6 °C

Density of water = 1 g/mL

Specific heat capacity of water (Cw) = 4200J/Kg°C

Specific heat capacity of substance (Cs) =..?

Next, we shall determine the mass of water. This can be obtained as follow:

Volume of water = 200 mL

Density of water = 1 g/mL

Mass of water =..?

Density = mass /volume

1 = mass /200

Cross multiply

Mass of water = 1 x 200

Mass of water = 200 g

Convert 200 g of water to Kg

Mass of water = 200/1000 0.2 Kg

Mass of water = 0.2 Kg

Now, we obtained the specific heat capacity of the substance using the following formula:

MwCw(T2 – Tw) + MsCs(T2 – Ts) = 0

Mass of water = 0.2 Kg

Initial temperature of water (Ts) = 10 °C

Specific heat capacity of water (Cw) = 4200J/Kg°C

Temperature of the mixture (T2) = 12.6 °C

Mass of substance (ms) = 170 g = 170/1000 = 0.17 Kg

Initial temperature of substance (Ts) = 120 °C

Specific heat capacity of substance (Cs) =..?

MwCw(T2 – Tw) + MsCs(T2 – Ts) = 0

0.2× 4200(12.6 – 10) + 0.17×Cs×(12.6 – 120) = 0

840(2.6) + 0.17Cs(– 107.4) = 0

2184 – 18.258Cs = 0

Rearrange

2184 = 18.258Cs

Divide both side by the coefficient of Cs i.e 18258

Cs = 2184/18.258

Cs = 119.6 J/Kg°C

Therefore, the specific heat capacity of the substance is 119.6 J/Kg°C

what will happen when two wave pulses that are the same size approach one another from opposite directions?

Answers

When two or more waves meet, they interact with each other. The interaction of waves with other waves is called wave interference. Wave interference may occur when two waves that are traveling in opposite directions meet. The two waves pass through each other, and this affects their amplitude.

what is
contact force

Answers

Answer:

Contact forces are forces that act between two objects that are physically touching each other.

When did stromatolites appear on Earth?

A. Hadean
B. Mesozoic
C. Archean

Answers

Answer:

It would be D. Proterozoic because they appeared 542 million years ago.

Answer: It's C: Archean

Explanation: I got it right on the quiz.

The graphic organizer compares energy transfer in two layers of the sun.

Which labels belong in the regions marked X and Y?


A)
X: Absorbs energy from the core
Y: Takes longer for photons to move through


B)
X: Releases energy to the photosphere
Y: Takes longer for photons to move through


C)
X: Takes longer for photons to move through
Y: Absorbs energy from the core


D)
X: Takes longer for photons to move through
Y: Releases energy to the photosphere

The graphic organizer compares energy transfer in two layers of the sun. Which labels belong in the regions

Answers

Answer:

B

Explanation:

Got it right

Answer:

B. X: Releases energy to the photosphere

Y: Takes longer for photons to move through

Explanation:

Right on ED2021, goodluck!

2 eggs cook in a frying pan, which is sitting over a gas burner. Is thermal energy being transferred from the metal pan to the eggs by radiation in this image? Why or why not?

Answers

Hope that helps have a good day though.
2 eggs cook in a frying pan, which is sitting over a gas burner. Is thermal energy being transferred

Answer:

No, the eggs are in direct contact with the metal pan, which is in direct contact with the gas flame, so this is conduction, not radiation

Reasons:
-Thermal energy is being transferred by conduction.

-Radiation transfers thermal energy by electromagnetic waves.

-Radiation does not transfer thermal energy by direct contact.

Radiation heat transfer is a process where heatwaves are emitted that may be absorbed, reflected, or transmitted through a colder "body". Sun heats the earth by electromagnetic waves. The sun does not come in physical contact with the Earth to transfer heat. (In my opinion, the Earth touching the sun would not be on my to-do list.)



Explanation:

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2 eggs cook in a frying pan, which is sitting over a gas burner. Is thermal energy being transferred

You are designing a diving bell to withstand the pressure of seawater at a depth of 250 m.
(a) What is the gauge pressure at this depth? (You can ignore the small changes in the density of the water with depth.)
(b) At the 250 m depth, what is the net force due to the water outside and the air inside the bell on a circular glass window 30.0 cm in diameter if the pressure inside the diving bell equals the pressure at the surface of the water? (You may ignore the small variation in pressure over the surface of the window.)

Answers

(a) The gauge pressure at a depth of 250 m in seawater is approximately 2.47 MPa.

(b) At a depth of 250 m, the net force on a circular glass window with a diameter of 30.0 cm, due to the water outside and the air inside the diving bell, is approximately 1.41 kN.

How to find the gauge pressure at a depth of 250 m in seawater?

(a) The gauge pressure at a certain depth in a fluid is the difference between the absolute pressure at that depth and the atmospheric pressure.

In this case, the pressure is due to the weight of the column of seawater above the given depth. The gauge pressure can be calculated using the equation:

P = ρgh

where P is the pressure, ρ is the density of seawater, g is the acceleration due to gravity, and h is the depth.

Given the density of seawater and the depth, we can calculate the gauge pressure at 250 m.

How to find the net force on a circular glass window at a depth of 250 m with a diameter of 30.0 cm?

(b) To find the net force on the circular glass window, we need to consider the pressure difference between the inside and outside of the diving bell.

Since the pressure inside the bell is equal to the pressure at the surface of the water, the net force can be calculated by multiplying the pressure difference by the surface area of the window.

The net force can be given by the equation:

\(F = (P_{outside} - P_{inside}) * A\)

where F is the net force, \(P_{outside\) is the pressure outside the window, \(P_{inside\) is the pressure inside the diving bell, and A is the surface area of the window.

By substituting the calculated gauge pressure at a depth of 250 m into the equation and considering the given diameter of the window, we can determine the net force.

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Which statement is true about Car A?
Car A has a velocity of 40 km/hr
west.
Car A has a velocity of 40 km/hr
east.
Car A has the same velocity Car E.
Car A has a velocity of 40 km/hr.

Which statement is true about Car A?Car A has a velocity of 40 km/hrwest.Car A has a velocity of 40 km/hreast.Car

Answers

Answer:

Car A has a velocity of 40 km/hr  west.

Explanation:

The velocity of an object is a vector quantity. It has both magnitudes as well as direction.

Arrows are used to show direction.

Car A is moving towards west. Car B is moving towards east-south direction. Car C is moving towards South direction. Car E is moving towards North direction.

So, the correct option is (a) i.e. Car A has a velocity of 40 km/hr  west.

Eupeews yost answer to three significant figwres and include the aboteeriate units. Part 2 Express your answer to three significant figures and iinclude the approprate units.

Answers

The value, expressed to three significant figures, would be 1350 millimeters.

When expressing a value to three significant figures, we consider the first three non-zero digits from the left. If there are fewer than three non-zero digits, we include any leading zeros. The units associated with the value should be stated for clarity.

For example, let's consider a scenario where we are measuring the length of an object and obtain a value of 1356.78 millimeters. To express this value to three significant figures, we start from the left and count three digits: 1, 3, and 5. The next digit, 6, is not considered as it is beyond the three significant figures. Therefore, the value, expressed to three significant figures, would be 1350 millimeters.

Similarly, if we have a different scenario where we measure the mass of an object and obtain a value of 0.0034572 grams, we start from the left and count three digits: 3, 4, and 5. Again, the next digit, 7, is beyond the three significant figures. The value, expressed to three significant figures, would be 0.00346 grams.

In both examples, the units (millimeters and grams) are included to provide context and ensure clarity in the measurement.

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oxygen moves between the respiratory system and the circlatory system when it transfers from.. to...

Answers

Oxygen moves between the respiratory system and the circulatory system when it transfers from the bronchi to the capillaries. The correct option is d.

What is the respiratory system?

The capillaries (small blood vessels) lining the alveolar walls allow oxygen to diffuse from the alveoli to the blood throughout this process.

Hemoglobin in red blood cells absorbs oxygen as it enters the bloodstream. Where the blood and lungs exchange gases are known as the "alveoli." Bronchi are the air passage of the lungs. It is a large passage that passes from the trachea to the lung.

Therefore, the correct option is d. bronchi, capillaries.

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The question is incomplete. The missing options are given below:

alveoli, capillaries

bronchi, trachea

capillaries, veins

bronchi, capillaries

When replacing an existing luminaire (fixture) with a ceiling-suspended paddle fan, make sure that the existing outlet box is listed and marked as ____________________.

Answers

Answer:

When replacing an existing luminaire (fixture) with a ceiling-suspended paddle fan, make sure that the existing outlet box is listed and marked as ________one that can support the fan__________

Explanation:

Because an outlet which is not listed an cannot support the fan will lead to its damage and short lifespan

Please help me : What braking force is needed to stop a 1,000-kilogram car moving at 10m/s on a time of 1 seconds?

Answers

I’m not sure how to answer this. Are you taking about energy? If so it would be potential energy. If your talking about brake force then you wouldn’t have to brake hard because it’s only going 10mph.

calculate the buoyant force (in n) on a 2.90 l helium balloon. 0.037 correct: your answer is correct. n (upward) (b) given the mass of the rubber in the balloon is 1.10 g, what is the net vertical force (in n) on the balloon if it is let go? you can neglect the volume of the rubber.

Answers

The net vertical force on the balloon, when it is let go, is: Net force = Buoyant force - Weight of rubber = 0.034 N (upward) - 0.011 N (downward) = 0.023 N (upward). So the balloon will experience a net upward force of 0.023 N when it is let go.

The buoyant force on the 2.90 L helium balloon can be calculated using the formula:
Buoyant force = density of fluid x volume of displaced fluid x acceleration due to gravity
The density of air at sea level is approximately 1.2 kg/m³. Converting the volume of the balloon to m³, we get:
2.90 L = 0.00290 m³
So the buoyant force on the balloon is:
Buoyant force = 1.2 kg/m³ x 0.00290 m³ x 9.81 m/s² = 0.034 N (upward)
Next, we need to calculate the weight of the rubber in the balloon:
Weight of rubber = mass of rubber x acceleration due to gravity
The mass of rubber is given as 1.10 g. Converting this to kg and using the value of acceleration due to gravity as 9.81 m/s², we get:
Weight of rubber = 0.00110 kg x 9.81 m/s² = 0.011 N (downward)
Therefore, the net vertical force on the balloon when it is let go is:
Net force = Buoyant force - Weight of rubber = 0.034 N (upward) - 0.011 N (downward) = 0.023 N (upward)

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if two 6-volt sources are connected in parallel to supply a 24-ohm load and the total current is 0.25 a, how much current would each source supply to the load? (round the final answer to three decimal places.)

Answers

V or total voltage is 6 volts because when multiple power supplies of the same voltage are connected in parallel, the applied voltage is same and the current equally divides between the number of power sources.

Divide I(t) or total current 0.25 amps between the two power sources.

Is=I(t)/Ns

Is=0.25amps/2sources

Is=.125amps

Voltage is the difference in electrical potential between two points.

Current is just the rate of flow of electric charge.

Each power source supplies .125amps of current to the load

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A golfer imparts a speed of 29.0 m/s to a ball, and it travels the maximum possible distance before landing on the green. the tee and the green are at the same elevation. (a) how much time does the ball spend in the air? (b) what is the longest hole in one that the golfer can make, if the ball does not roll when it hits the green?

Answers

Explanation:

It is given that,

Initial speed of a golfer, u = 29 m/s

If it travels the maximum possible distance before landing. It means that it is projected at an angle of 45 degrees.

(a) We need to find the time spent by the ball in the air. It can be calculated by using second equation of motion.

\(s=ut+\dfrac{1}{2}at^2\)

Here,

a = -g

s = 0 (it is displacement and it is equal to 0 as the ball lands on the green).

So,

\(0=29\sin(45)t-\dfrac{1}{2}\times 9.8t^2\ (\text{Initial vertical component of velocity is taken})\\\\-4.9t^2+29\times \dfrac{1}{\sqrt2}t=0\\\\-4.9t^2+20.5t=0\\\\t=0,4.184\ s\)

So, it will take 4.184 seconds in the air.

(b) let x is the longest hole in one that the golfer can make if the ball does not roll when it hits the green. It can be given by :

\(x=vt\cos\theta\\\\x=29\times 4.184\times \cos(45)\\\\x=85.79\ m\)

Hence, this is the required solution.

What is SI system and SI unit?​

Answers

Answer:

nternational System of Units (SI), French Système International d'Unités, international decimal system of weights and measures derived from and extending the metric system of units. Adopted by the 11th General Conference on Weights and Measures (CGPM) in 1960, it is abbreviated SI in all languages.

Explanation:

Which quotations addresses the audience concern that
president obama should not take anymore actions at the end of
his term while he is waiting for president trump to take office?
select one:
"over the last eight years, we've delivered on that promise in many
ways, both big and small, including, of course, providing health
coverage to 20 million more americans, and making health care
more affordable for all americans."
"i told you we would unleash american innovation and technology to
tackle the health challenges of our time."
"it's an opportunity to save lives, and an opportunity we just can't
miss."
"first, it will make real investments this year to combat the heroin
and prescription drug epidemic that's plaguing so many of our
communities."

Answers

"over the last eight years, we've delivered on that promise in many ways, both big and small, including, of course, providing health coverage to 20 million more Americans and making healthcare more affordable for all Americans."

Which quotation addresses the audience concern that President Obama should not take anymore actions at the end of his term while waiting for President Trump to take office?

The quotation that addresses the audience's concern about President Obama taking actions at the end of his term while waiting for President Trump to take office is:

"over the last eight years, we've delivered on that promise in many ways, both big and small, including, of course, providing health coverage to 20 million more Americans and making healthcare more affordable for all Americans."

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A sock stuck to the side of a clothes-dryer barrel has a centripetal acceleration of
28m/s?. If the dryer barrel has a radius of 27.5cm, what is the tangential speed of the
sock?

Answers

Answer:

Tangential speed, V = 2.78 m/s.

Explanation:

Given the following data;

Centripetal acceleration = 28m/s²

Radius = 27.5cm to meters = 27.5/100 = 0.275 meters

To find the tangential speed;

Centripetal acceleration = V²/r

Substituting into the formula, we have;

28 = V²/0.275

V² = 28 * 0.275

V² = 7.7

Taking the square root of both sides, we have;

Tangential speed, V = 2.78 m/s.

The tangential speed of the sock will be 7.7 m/sec².Tangential speed is  as the linear speed of any object travelling along a circular route.

What is tangential speed ?

Tangential speed is defined as the linear speed of any item travelling along a circular route.

A point on the outside edge of a turntable travels further in one complete rotation than a point towards the center.

The given data in he problem is;

a is the  centripetal acceleration =28m/s?

r is the  radius of 27.5cm

v is  the tangential speed of the sock=?

\(\rm a= \frac{v^2}{r} \\\\ \rm v= \sqrt{ar} \\\\ \rm v= \sqrt{28 \times 0.275 } \\\\ \rm v=7.7 \ m/sec^2\)

Hence the tangential speed of the sock will be 7.7 m/sec².

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red sunsets are due to light of lower frequencies that

Answers

Red sunsets are due to light of lower frequencies that are more capable of making their way through the Earth’s atmosphere. Sunsets take on different colors and shades because of the way that sunlight interacts with the Earth's atmosphere.

When the sunlight passes through the atmosphere, molecules and small particles in the air scatter different colors of light. This leads to colorful skies at sunrise and sunset. When the sun is low on the horizon, the sunlight must pass through more of the Earth’s atmosphere before reaching the observer's eye.

At sunrise or sunset, the light that reaches the observer's eye has a longer path through the atmosphere than light at noon. The Earth's atmosphere scatters blue light more efficiently than it scatters the lower-frequency colors. This scattering effect sends more blue light away from the viewer's line of sight. This makes the sky look blue. When sunlight passes through the atmosphere, molecules and small particles in the air scatter different colors of light.

When the sun is low on the horizon, the sunlight must pass through more of the Earth’s atmosphere before reaching the observer's eye. At sunrise or sunset, the light that reaches the observer's eye has a longer path through the atmosphere than light at noon. The Earth's atmosphere scatters blue light more efficiently than it scatters the lower-frequency colors. This scattering effect sends more blue light away from the viewer's line of sight, making the sky look blue

In conclusion, Red sunsets are due to light of lower frequencies that are more capable of making their way through the Earth’s atmosphere. Sunsets take on different colors and shades because of the way that sunlight interacts with the Earth's atmosphere.

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a convex mirror has a focal length of -12 cm. a lightbulb with diameter of 6 cm is placed 60 cm from the mirror

Answers

Here the focal length of the convex mirror as -12 cm, a light bulb with a diameter of 6 cm is placed 60 cm from the mirror. Hence, the image distance is -60 cm, and the image height is 6 cm.

To find the image distance and height, we will use the mirror formula for a convex mirror, which is given as follows;1/f = 1/v + 1/u. Where, f = focal length of the convex mirror;

v = the image distance;

u = the object distance

If the object distance is positive, it means the object is placed in front of the mirror, and if it is negative, it means the object is placed behind the mirror. The focal length of a convex mirror is always negative, as given above.

Therefore, u = -60 cm and f = -12 cm.

Plugging in the values in the mirror formula, we get:1/-12 = 1/v + 1/-60=> -5/60 = 1/v - (1/60) => -5/60 = (60 - v)/60=> v = -300/5= -60 cm

The image distance is -60 cm, which means the image is virtual and erect. The negative sign indicates that the image is formed behind the mirror.

To find the image height, we use the magnification formula:

m = -v/u= -(-60)/(-60)= 1

The magnification is 1, which means the image is of the same size as the object. The height of the light bulb is 6 cm, so the height of the image will also be 6 cm.

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What is the basis for the sounds referred to as korotkoff sounds?.

Answers

Answer:Korotkoff Sounds. -tapping sounds created by turbulent blood flow in arm. -pressure is slowly being released from cuff, so systolic pressure is above that of the cuff, but diastolic is still below, so the artery opens in systole and collapses in diastole.

Explanation:

An elevator accelerates from rest to a velocity of 12.0 m/sec as it rises 28.0 meters.  What was its’ acceleration, and for what time did it travel while it was accelerating?​

Answers

Answer:

given that

V = 12.0 m/s

U = 0 m/s

s = 28 m

Explanation:

using the equation of motion

V^2 = U^2 + 2as

12^2 = 0 + 2(28)a

144 = 56a

a = 5.5 m/s^2

v = u +at

12 = 0 + 5.5t

12 = 5.5t

t = 2.2s

how do the ligo results help confirm the theory of general relativity?

Answers

Answer:

Explanation:

The LIGO (Laser Interferometer Gravitational-Wave Observatory) results help confirm the theory of General Relativity in several ways:

1.Direct detection of gravitational waves: LIGO detected gravitational waves for the first time in 2015, which was a major confirmation of one of the fundamental predictions of General Relativity. According to General Relativity, massive objects like black holes or neutron stars create ripples in space-time, which propagate as gravitational waves. The detection of these waves by LIGO provides strong evidence that these ripples in space-time exist.

2.Gravitational waves obey the predictions of General Relativity: The detected gravitational waves match the predictions of General Relativity very closely. This means that the characteristics of the waves, such as their frequency and amplitude, are consistent with what is expected from the theory. Any deviations from the predictions of General Relativity would have suggested that the theory is incomplete or incorrect.

3.Confirmation of the equivalence principle: General Relativity predicts that all objects, regardless of their mass or composition, will fall at the same rate in a gravitational field. This is known as the equivalence principle. LIGO's observations of gravitational waves from the collision of two black holes provide strong evidence for the equivalence principle.

4.Verification of the behavior of space-time: General Relativity predicts that the warping of space-time due to the presence of massive objects will cause gravitational waves to travel at the speed of light. LIGO's observations confirm this prediction.

Overall, the LIGO results provide strong confirmation of the theory of General Relativity and have opened up a new field of astronomy through the detection of gravitational waves. The observations have allowed scientists to test the theory in a new regime and have provided important insights into the behavior of space-time and the nature of gravity.

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