What is the average?

What Is The Average?

Answers

Answer 1

Answer:

Explanation:you knoe i know


Related Questions

a compressed gas with a total mass of is stored in a spherical container having a radius of 0.521 m. what is the density of the compressed gas?

Answers

Density = m kg / 0.5921 m^3. This will give you the density of the compressed gas in kg/m^3. Just plug in the provided mass value for "m" to get your solution.

To calculate the density of the compressed gas, you will need to use the formula for density, which is:

Density = Mass / Volume

You are given the total mass of the compressed gas and the radius of the spherical container. First, we need to find the volume of the container using the formula for the volume of a sphere:

Volume = (4/3) × π × r^3

where r is the radius of the sphere. In this case, r = 0.521 m.

Calculate the volume of the spherical container
Volume = (4/3) × π × (0.521)^3
Volume ≈ 0.5921 m^3

Calculate the density of the compressed gas
Now that we have the volume, we can find the density using the given mass of the gas.

Density = Mass / Volume

Assuming you meant to provide a mass value, let's call it "m" kg for the compressed gas. Substitute the values into the formula:

Density = m kg / 0.5921 m^3

This will give you the density of the compressed gas in kg/m^3. Just plug in the provided mass value for "m" to get your solution.

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does a boat travelling 75mph have more kinetic energy than a boat travelling 60 mph?

Answers

Answer:

yes

it is

because you can see it with num

What feature of a planet's orbit does Kelper's first law of motion describe?
A. the time required for each orbit
B. the shape
C. the distance from the aphelion to the perihelion
D. the distance to the sun

Answers

The answer is going to be letter B

A 0.150-kg rubber stopper is attached to the end of a 1.00-m string and is swung in a circle. If the rubber stopper is swung 2.3 m above the ground and released, how far will the stopper travel horizontally before hitting the ground?

Answers

The stopper travels approximately 4.5 meters horizontally before hitting the ground.

We can use conservation of energy to solve this problem. At the highest point of the stopper's motion, all of its energy is in the form of potential energy, and at the lowest point (when it hits the ground), all of its energy is in the form of kinetic energy.

The potential energy of the stopper at the highest point is:

Ep = mgh

where m is the mass of the stopper, g is the acceleration due to gravity, and h is the height above the ground. Plugging in the values given in the problem, we get:

Ep = (0.150 kg) * (9.81 m/s²) * (2.3 m) ≈ 3.2 J

At the lowest point, all of the potential energy has been converted to kinetic energy:

Ek = (1/2) * mv²

where v is the speed of the stopper just before it hits the ground. Since the stopper is released from rest, we can use conservation of energy to equate the potential energy at the highest point to the kinetic energy just before hitting the ground:

Ep = Ek

mgh = (1/2) * mv²

Solving for v, we get:

v = √(2gh)

where h is the height from which the stopper was released. Plugging in the values given in the problem, we get:

v = √(2 * 9.81 m/s² * 2.3 m) ≈ 6.6 m/s

Now we can use the time it takes for the stopper to fall to the ground to calculate the horizontal distance it travels. The time is given by:

t = √(2h/g)

Plugging in the values given in the problem, we get:

t = √(2 * 2.3 m / 9.81 m/s²) ≈ 0.68 s

During this time, the stopper travels a horizontal distance given by:

d = vt

Plugging in the values we just calculated, we get:

d = (6.6 m/s) * (0.68 s) ≈ 4.5 m

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Do planets revolve slower or faster the closer they are from the sun?

Answers

Answer:

The speed at which a planet orbits the Sun changes depending upon how far it is from the Sun. When a planet is closer to the Sun the Sun’s gravitational pull is stronger, so the planet moves faster. When a planet is further away from the sun the Sun’s gravitational pull is weaker, so the planet moves slower in its orbit.

A car of weight 11 000 N moves with constant velocity along a horizontal road. A driving force of 5000 N acts on the car. What is the force opposing the motion of the car?

Answers

Answer:

f = 5000 N

Explanation:

Given that,

The weight of a car = 11000 N

Driving force on the car = 5000 N

We need to find the force opposing the motion of the car. The net force on th car is given by :

F-f = ma

As it moves with constant velocity, a = 0

i.e.

F - f = 0

F = f

f = 5000 N

Hence, the opposing force is 5000 N.

1 point
A person weighing 750 N climbs up a ladder to a height of 5.55 m. What is
the person's gravitational potential energy at the top of the ladder? *

Answers

Answer:

388.5J

Explanation:

Given parameters:

Weight  = 70N

Height  = 5.55m

Unknown:

Gravitational potential energy at the top of the ladder  = ?

Solution:

The gravitational potential energy is the energy due to the position of the body.

  Gravitational potential energy  = Weight x height

So;

 Gravitational potential energy  = 70 x 5.55 = 388.5J

A man with a mass of 60 kg rides a bike with a mass of 13 kg. What is the force needed to accelerate the bike at 0.90 m/s2?

A. 65.7
B.657
C.75.6
D.756

Answers

The total mass of the things on the road is 60 + 13, which is 73kg.

mass • acceleration = F

73 x 0.9m/s^2 = 65.7N

F = 65.7 N

What are waveform conversion circuits? 2. Where are waveform conversion circuits typically used

Answers

Waveform conversion circuits, also known as signal conversion circuits, are electronic circuits designed to convert one form of an electrical waveform into another form. Waveform conversion circuits find application in a wide range of fields where the modification, conditioning, or transformation of electrical waveforms is necessary to achieve specific objectives.

These circuits modify the characteristics of an input signal to achieve a desired output waveform. The conversion can involve changing the amplitude, frequency, phase, or shape of the waveform.

Waveform conversion circuits are used in various applications where it is necessary to transform signals to match specific requirements. Here are some common areas where waveform conversion circuits are typically used:

Audio Processing: In audio applications, waveform conversion circuits are used to modify audio signals for various purposes. This includes amplifying, filtering, equalizing, or modulating audio waveforms to enhance sound quality, remove noise, or achieve specific audio effects.

Power Electronics: Waveform conversion circuits are extensively employed in power electronics systems for converting and conditioning electrical power. These circuits are used in devices such as inverters, converters, rectifiers, and voltage regulators to transform power waveforms, adjust voltage or current levels, and ensure efficient power transfer.

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5) [Honors]A seagull, ascending straight upward at 5.2 m/s, drops a shell when it is 12.5m above the ground. (A)
What is the acceleration of the shell right after it is released? (B) Find the maximum height above the ground
reached by the shell. (C) How long does it take for the shell to return to a height of 12.5m above the ground?

Answers

Answer:

(B) 13.9 m

(C) 1.06 s

Explanation:

Given:

v₀ = 5.2 m/s

y₀ = 12.5 m

(A) The acceleration in free fall is -9.8 m/s².

(B) At maximum height, v = 0 m/s.

v² = v₀² + 2aΔy

(0 m/s)² = (5.2 m/s)² + 2 (-9.8 m/s²) (y − 12.5 m)

y = 13.9 m

(C) When the shell returns to a height of 12.5 m, the final velocity v is -5.2 m/s.

v = at + v₀

-5.2 m/s = (-9.8 m/s²) t + 5.2 m/s

t = 1.06 s

For the seagull that is ascending straight upward at 5.2 m/s and drops a shell when it is 12.5 m above the ground, we have:

A) The acceleration of the shell right after it is released is given by the acceleration due to gravity = 9.81 m/s².  

B) The maximum height above the ground reached by the shell is 13.9 m.  

C) The time for the shell to return to a heigh of 12.5 m above the ground is 1.06 s.

A) Since the shell is dropped, the acceleration after it is released is the same at each point of height as it falls, so the acceleration of the shell is:

\( g = 9.81 m/s^{2} \)

Where g is the acceleration due to gravity

Hence, the acceleration of the shell is 9.81 m/s²

B) The maximum height reached by the shell can be calculated with the following equation:

\( h_{max} = h_{i} + h_{f} \)   (1)

Where:

\( h_{i} \): is the initial height = 12.5 m

\( h_{f} \): is the final height

The final height is the height reached by the shell after it is released. It can be calculated with the next equation:

\( v_{f}^{2} = v_{i}^{2} - 2gh_{f} \)   (2)

Where:

\( v_{f}\): is the final velocity = 0 (in the maximum height)

\( v_{i}\): is the initial velocity = 5.2 m/s

\(h_{f}\): is the height reached by the shell after it is released

The final heigh is (eq 2):

\( h_{f} = \frac{v_{i}^{2}}{2g} = \frac{(5.2 m/s)^{2}}{2*9.81 m/s^{2}} = 1.4 m \)

Now, the maximum height is (eq 1):

\( h_{max} = h_{i} + h_{f} = 12.5 m + 1.4 m = 13.9 m \)

Then, the maximum height reached by the shell is 13.9 m.

C) The time for the shell to go from the maximum height to 12.5 m (falling time) can be calculated with:

\(y_{f} = y_{i} + v_{i}t - \frac{1}{2}gt^{2}\)

Where:

\(v_{i}\): is the initial velocity in its way down = 0 (it is going free fall)

\( y_{f} \): is the final height = 12.5 m  

\( y_{i} \): is the initial height = 13.9 m (maximum height)

The falling time is:

\(12.5 m = 13.9 m + 0 - \frac{1}{2}9.81 m/s^{2}*t_{f}^{2}\)  

\(t_{f} = \sqrt{\frac{2*(13.9 m - 12.5 m)}{9.81 m/s^{2}}} = 0.53 s\)

Now, the time to return to 12.5 is twice the above time (time to go up plus the time to go down).  

\( t = 2*t_{f} = 2*0.53 s =  1.06 s \)

Therefore, the time for the shell to return to a height of 12.5 m is 1.06 s.

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5) [Honors]A seagull, ascending straight upward at 5.2 m/s, drops a shell when it is 12.5m above the

A cube measures 3cm on each side has a mass of 25 grams. what it its density and relative density.​

Answers

Answer:

Density= 2.78 g/cm³

Relative density=2.8

Explanation:

To calculate the density of the cube we have to use the formula ρ=mass/volume

ρ stands for density.

So now we don't have the volume of the cube and to find the volume of the cube we have to use the formula a³

3³= 9 cm³

Now plug in the values. ρ= 25 g/9 cm³

ρ= 2.78 g/cm³

To find the relative density, we have to use the formula ρsample/ρH20

The sample means the density of the substance earlier. We do not know the density of water but it is constant at 997 kg/m³.

Now we have to make the units same so you change the unit of the density of cube to kg/m³

So, 25/1000= 0.025 kg

9/100×100×100 (because cm³ which means that there should be 3 meters to change the unit and to conver cm to meter we need to divide by 100 so 9cm/100, 9cm²/100×100, 9cm³/100×100×100)

=0.000009 m³

The new density= 0.025 kg/ 0.000009 m³

= 2777.78 kg/m³

Now plug the values into the formula:

relative density= 2.777.78 kg/m³ / 997 kg/m³

=2.8

There is no unit since kg/m³ and kg/m³ cancels

What method would likely be used to separate a mixture of colored inks?

Answers

This technique is often used in forensic science to identify inks used in forged documents or other types of evidence.

One method to separate a mixture of colored inks is chromatography. Chromatography is a physical separation technique used to separate mixtures based on their molecular properties. In the case of colored inks, paper chromatography is a commonly used technique.

In paper chromatography, a small amount of the ink mixture is spotted onto a piece of chromatography paper, and the paper is placed in a container with a small amount of solvent (e.g. water, alcohol, or acetone). The solvent moves up the paper by capillary action, carrying the ink mixture with it. As the solvent moves up the paper, different components of the ink mixture are separated and are visible as colored bands.

The separation occurs because different components of the mixture have different affinities for the paper and the solvent. Components that are more soluble in the solvent will move up the paper more quickly, while those that are more attracted to the paper will move up more slowly. This results in a separation of the components based on their physical and chemical properties.

By comparing the separated bands of the ink mixture to those of known pure inks, the identity of each component in the mixture can be determined. This technique is often used in forensic science to identify inks used in forged documents or other types of evidence.

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Final answer:

A likely method to separate a mixture of colored inks is through chromatography, a technique used to separate components of a mixture. It separates the ink into its constituent colors by allowing a solvent to travel up a stationary phase like paper, carrying the ink mixture with it.

Explanation:

A method that would likely be used to separate a mixture of colored inks is chromatography. Chromatography is a method used in chemistry to separate components of a mixture. It works by using a stationary phase and a mobile phase. In the case of ink separation, the ink mixture would be placed on a stationary phase (like paper), and a solvent (the mobile phase) would be allowed to travel up the paper. As the solvent travels, it moves the mixture along its path. Each component of the ink by their size, chemical properties, and interaction with the solvent and paper will move at different rates, thereby separating the ink into its constituent colors. This method is particularly useful in analyzing the chemical composition of inks and other similar mixtures.

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select the statements that correctly recall the meaning of the schrodinger equation.

Answers

The Schrödinger equation describes how the wave function of a system changes over time, allowing us to calculate probabilities for the behavior of quantum particles. Here both options are correct.

The Schrödinger equation is a fundamental equation in quantum mechanics that describes how the wave function of a physical system changes over time. It was first formulated by Austrian physicist Erwin Schrödinger in 1925.

The wave function describes the behavior of quantum particles, such as electrons, in terms of probabilities rather than definite values. In other words, the Schrödinger equation allows us to calculate the probability of finding a particle in a particular location or with a particular energy.

Therefore, statement b is correct: the location of an electron cannot be described absolutely but instead must be described statistically. This is a fundamental principle of quantum mechanics, known as the uncertainty principle, which states that the position and momentum of a particle cannot both be precisely determined at the same time.

Statement a is also correct: the electron can exhibit both particle and wave behavior, and this behavior is represented by its wave function. The wave function describes the probability distribution of the electron's position and momentum and can be used to calculate various properties of the system.

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Complete question:

Select the statements that correctly recall the meaning of the Schrodinger equation.

a. The electron has both particle and wave behavior, represented by wave functions.

b. The location of an electron must be described statistically instead of absolutely.

light waves are first transmitted through the ________ at the front of the eye and enter an opening called the ________ before shining onto the retina.

Answers

The transmission of light waves is usually done through cornea of the eyes, then move through another opening which is regarded as pupil before it will get to the retina.

Light waves can be regarded as moving energy which contains microscopic particles known as photons. The vision of the eye can be completed through the light wave passing through the components of the eyes and this process goes thus;Light will move through the (cornea) which is situated at the front area of the eyes into lens. Then both the cornea and the lens give room for the focusing of the light rays to the retina which is situated at the back of the eye .Then through the help of the cells in the retina, the light will be absorbed and then be converted to  electrochemical impulses and then transfer it to the brain as well as optic nerve.

Therefore, light wave are form of tiny microscopic particles.

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A jet plane flying 600 m/s experiences an acceleration of 4g when pulling out of the dive. What is the radius of curvature of the loop in which the plane is flying?

Answers

Answer:

The radius of the curve is 9,183.67 m.

Explanation:

Given;

velocity of the jet plane, v = 600 m/s

acceleration of the jet plane, a = 4g = 4 x 9.8 m/s² = 39.2 m/s²

The radius of the curve is calculated from centripetal acceleration formula as given below;

\(a = \frac{v^2}{r} \\\\r = \frac{v^2}{a} \\\\r = \frac{600^2}{39.2} \\\\r = 9,183.67 \ m\)

Therefore, the radius of the curve is 9,183.67 m.

If the forces acting on an object are balanced, wihat must be true about the motion of this object?

Answers

5
A cyclist travels 125 km in 5 hours. How fast is the cyclist moving?

Answers

Answer:

25 km/h

Explanation:

speed=distance÷time

125÷5=speed

125÷5=25 (then add units)

2. A block of mass 1.2 kg lies on a frictionless surface. A man slides the block
against a spring, compressing it .15m. When the man lets go of the spring, the
block moves at 5 m/s. What is the spring constant of the spring?
mm
.

2. A block of mass 1.2 kg lies on a frictionless surface. A man slides the blockagainst a spring, compressing

Answers

Answer:

The spring constant will be "1333.33 N/m".

Explanation:

The given values are:

Mass,

m = 1.2 kg

Displacement compression,

x = 0.15 m

Block's velocity,

\(v_i=5 \ m/s\)

As we know,

⇒  \(E_i=E_f\)

or,

⇒  \(K_i+v_i=K_f+v_f\)

⇒  \(\frac{1}{2}mv_i^2+0=0+ \frac{1}{2}Kx^2\)

So,

⇒  \(K=\frac{mv_i^2}{x_2}\)

On substituting the values, we get

⇒       \(=\frac{1.2\times 5\times 5}{0.15\times 0.15}\)

⇒       \(=\frac{30}{0.0225}\)

⇒       \(=1333.33 \ N/m\)

PLEASE HELP!!! I need a good grade!

PLEASE HELP!!! I need a good grade!

Answers

Answer:

The answer is D. You're Welcome !

Someone pleaseeeee helppp

Someone pleaseeeee helppp

Answers

Explanation:

it's lead because see it's density if u have more density the voice will be slowest

a bus increase its velocity from 30m/s to 45m/s and covers 300m distance. Find the acceleration​

Answers

Hi there!

We can use the following kinematic equation to solve:

vf² = vi² + 2ad

vf = Final velocity

vi = Initial velocity

a = acceleration

d = displacement

Plug in the given values:

45² = 30² + 2a(300)

2025 = 900 + 600a

Solve:

1125 = 600a

a = 1.875 m/s²

kepler's laws hold only for the six planets known in his time.

Answers

Kepler's laws are fundamental principles of celestial mechanics and continue to be valid for all planets in our solar system, including the ones discovered after Kepler's era.

Kepler's laws of planetary motion are fundamental principles that describe the motion of planets around the Sun and were derived based on observational data available to Johannes Kepler during the 16th and 17th centuries. However, these laws are not limited to the six planets known in Kepler's time.

Kepler formulated three laws of planetary motion:

1. Kepler's First Law (Law of Ellipses): Planets orbit the Sun in elliptical paths, with the Sun located at one of the two foci of the ellipse. This law applies to all planets, including those discovered after Kepler's time.

2. Kepler's Second Law (Law of Equal Areas): An imaginary line connecting a planet to the Sun sweeps out equal areas in equal time intervals. This law holds for all planets, regardless of when they were discovered.

3. Kepler's Third Law (Harmonic Law): The square of a planet's orbital period is proportional to the cube of its average distance from the Sun. This law applies to all planets, both the ones known in Kepler's time and the ones discovered later.

Kepler's laws are fundamental principles of celestial mechanics and continue to be valid for all planets in our solar system, including the ones discovered after Kepler's era. They provide important insights into the motion and behavior of celestial bodies.

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What is the density of 244 grams of aluminum that has a volume of 90 ml?​

Answers

Answer:

The answer is 2.71 g/mL

Explanation:

The density of a substance can be found by using the formula

\(density = \frac{mass}{volume} \\\)

From the question

mass = 244 g

volume = 90 mL

So we have

\(density = \frac{244}{90} = \frac{122}{45} \\ = 2.71111111...\)

We have the final answer as

2.71 g/mL

Hope this helps you

Which statement describes characteristics of a convex lens? A convex lens diverges light and curves inward. A convex lens diverges light and curves outward. A convex lens converges light and curves inward. A convex lens converges light and curves outward.

Answers

Answer:

D, A convex lens converges light and curves outward.

Explanation:

edge

A convex lens converges light and curves outward.

What is a convex lens ?

A lens that is thin at the bottom and upper edges and somewhat thick in the middle is referred to as a convex lens. The edges are not bent inside, but rather outward.

Here,

In a convex lens, the light rays travelling parallel to its principal axis are converged by it (i.e., the incident rays are directed towards the principal axis).

Since all of the light rays that are refracted by a convex lens eventually converge at a single point, where the image is created, the convex lens is also known as a converging lens.

A converging lens produced a virtual image when the object is placed in front of the focal point.

Hence,

A convex lens converges light and curves outward.

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Why do some substances dissolve in water, but other substances do not?

Answers

Answer:

It has to do with the polairity of said molelule. If you have vegetable oil, for example, it will not disolve in water because the oil is a non-polar compound, unlike water which is polar. The bond dipoles and differences in electronegetivity in the molecule results in this.

A 2.40 kg stone is sliding in the +x-direction on a horizontal, frictionless surface. It collides with a 4.00 kg stone at rest. After the collision the 2.40 kg stone is moving at 3.60 m/s at an angle of 30.0° measured from the +æ-direction toward the +y- direction, and the 4.00 kg stone is moving at an angle of 45.0° measured from the +x- direction toward the -y-direction. (a) What is the y-component of momentum of the 2.40 kg stone after the collision? What must be the y-component of momentum of the 4.00 kg stone after the collision? (b) What is the speed of the 4.00 kg stone after the collision? (c) What is the x-component of the total momentum of the two stones after the collision? (d) What is the speed of the 2.40 kg stone before the collision?

Answers

The y-component of momentum of the 2.40 kg stone after the collision is calculated as 4.32 kg.m/sec.

The system's momentum will remain conserved both before and after the collision because there is no external force acting on the two stones.

Given that:

2.40 kg of stone is moving at 3.60 m/s at 30 degrees CCW from +ve x-axis following the collision, its y-component of momentum will be as follows:

                                            P₁y = m₁ × V₁y

V₁y = y-component of velocity = V₁ ×sin 30°,  

P₁y = 2.40 ×3.60 ×sin 30° = 4.32 kg.m/sec

since momentum is conserved, So

Momentum before collision in y-direction (Pi) = Momentum after collision in y-direction (Pf)

                               Piy = Pfy

there is no motion is y-direction, So Piy = 0 kg.m/sec

                                      So, Pfy = 0

                                       P₁y + P₂y = 0

P₂y = y-momentum of 4.00 kg stone after collision = -P₁y

P₂y = -4.32 kg.m/sec (-ve sign means y-momentum is in -ve y direction)

Part B.

                       P₂y = m₂ × V₂y

V₂y is the y-component of the velocity of a 4.00 kg stone following a collision when the stone is moving 45 degrees clockwise from the +ve x-axis (CW = clockwise, CCW = counterclockwise)

                                = -V₂ × sin 45°

P₂y = m₂ × (-V₂ ×sin 45°)

V₂ = P₂y/(-m₂ × sin 45°)

V₂ = -4.32/(-4.00 × sin 45 °) = 1.52735 m/s

V₂ = 1.53 m/s = speed of 4.00 kg stone after collision

Part C.

x-component of total momentum after collision will be:

                   Pfx = P₁x + P₂x

Pfx = m₁ × V₁x + m₂ ×V₂x

Pfx = m₁ × V₁ ×cos 30° + m₂ × V₂ ×cos 45°

Pfx = 2.40 ×3.60 × cos 30° + 4.00 × 1.52735 × cos 45°

Pfx = 11.80 kg.m/sec

Part D.

Since momentum will also remain conserved in x-direction, So

                                   Pix = Pfx

m₁ × U₁x + m₂ × U₂x = Pfx

U₁x = x-component of the 2.40 kg stone's speed prior to the collision

Because 2.40 kg initially only moves in the x-direction,

                                  U₁x = U₁

U₂x = 0, since initially m₂ was at rest

U₁x = (Pfx - m₂ × U₂x)/m₁

U₁x = (11.80 - 4.00 × 0)/2.40

U₁x = 4.92 m/s = speed of 2.40 kg stone before collision

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These data tables show the distance of various galaxies from Earth in millions of light-years (Mly) at different times. Which table supports the theory of expansion in the formation of the universe?

These data tables show the distance of various galaxies from Earth in millions of light-years (Mly) at

Answers

Answer: it’s b

Explanation:

I had two attempts to do the test first I picked c but I did it again it’s b .

Where can you identify the different phases of water?

Answers

If the water exists as ice, it is the water's solid phase. If the water exists as steam, it is the water's gaseous phase. If the water exists as water itself, it is the water's liquid phase.

There are a total of three phases of water. They are:

SolidLiquid Gas

In solid state, the water exists as ice or snow. In gaseous state, it exists as steam or water vapour.

Eventhough, in most cases solid form of a substance usually has higher density than its liquid form. But in the case of water, ice is less dense than water. That is the reason, ice floats on water. The water is at its highest dense point at 4° C.

Therefore,

If the water exists as ice, it is the water's solid phase. If the water exists as steam, it is the water's gaseous phase. If the water exists as water itself, it is the water's liquid phase.

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Show the shifts that result from each of the following shocks. Then
use point E to identify the new short-run equilibrium. Where should
the E be placed

Answers

Shocks cause shifts in AD and AS curves, and the placement of point E, representing the new equilibrium, depends on these shifts.

Shocks can affect the economy through changes in aggregate demand or aggregate supply. An increase in aggregate demand would shift the AD curve to the right, reflecting higher overall demand for goods and services. This shift would result in a higher level of output and prices in the short run. Consequently, point E would be placed at a higher level of output and higher price level.

On the other hand, a positive supply shock, such as a decrease in production costs or an increase in productivity, would shift the AS curve to the right. This shift implies higher output and lower prices in the short run. In this case, point E would be located at a higher level of output and a lower price level.

Conversely, a negative supply shock, such as an increase in production costs or a decrease in productivity, would shift the AS curve to the left. The resulting equilibrium at point E would be characterized by lower output and higher prices in the short run.

To determine the placement of point E, it is necessary to identify the specific shifts caused by the shocks, such as an AD shift, a positive supply shock (AS shift to the right), or a negative supply shock (AS shift to the left). Once the shifts are identified, the corresponding changes in output and price level can be determined, and point E can be placed accordingly in the new short-run equilibrium.

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how much work is needed to push a 107- kg packing crate a distance of 2.75 m up an inclined plane that makes an angle of 30 o with the horizontal, when inclined plane is frictionless? tries 0/12 the coefficient of friction between the crate and the inclined plane is 0.22?

Answers

The work needed to push the 107-kg packing crate a distance of 2.75 m up the frictionless inclined plane with an angle of 30 degrees is approximately 448.18 Joules.

To calculate the work needed to push the packing crate up the inclined plane, we need to consider the forces involved and the displacement of the crate.

Given:

Mass of the crate (m) = 107 kg

Distance moved up the inclined plane (d) = 2.75 m

Angle of the inclined plane (θ) = 30 degrees

Coefficient of friction between the crate and the inclined plane (μ) = 0.22

First, let's calculate the component of the crate's weight (mg) that acts parallel to the inclined plane. This component is given by:

F_parallel = mg * sin(θ)

F_parallel = 107 kg * 9.8 m/s^2 * sin(30 degrees)

F_parallel ≈ 514.13 N

Next, let's calculate the work done against this force while moving the crate up the inclined plane. The work done is given by:

Work = Force * Distance * cos(θ)

Since the inclined plane is frictionless, there is no additional force to overcome. Therefore, the work done against the force of gravity is equal to the work needed to push the crate up the inclined plane.

Work = F_parallel * d * cos(θ)

Work = 514.13 N * 2.75 m * cos(30 degrees)

Work ≈ 448.18 J

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