What is reverberation?​

Pic attached below​

What Is Reverberation? Pic Attached Below

Answers

Answer 1

Reverberation is multiple echoes that prolong the sound and make it sound livelier.



What is reverberation?

Reverberation is the persistence of sound in an enclosed space after the original sound source has stopped. When a sound is produced in a room, it reflects off the surfaces of the room, such as walls, ceiling, and floor, and bounces back and forth multiple times before it eventually fades away. This multiple reflection of sound creates a series of echoes that can be heard in the room, which is known as reverberation.

Therefore, Reverberation can have a significant impact on the quality of sound produced in a room. In some cases, it can enhance the sound by creating a sense of spaciousness and liveliness, making the sound more natural and pleasant to the ear. However, in other cases, reverberation can be problematic and create a muddy sound that is difficult to understand or distinguish.

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See text below



What is reverberation? *

Choose

multiple echo that prolongs the sound, sounds livelier

single echo that deconstructs the sound, sounds muddy

an echo that give the fundamental harmonic

multiple echoes that makes the sound muddy

when a resonance creates an echo


Related Questions

What does the cosmological principle allow cosmologists to assume?

A. Exactly what the specific fate of the universe will be and when

B. The galaxies are organized clusters of billions of stars, gas, dust, and matter in all other forms.

C. That the small portion of the space we can see is truly representative of all the rest of the universe that we cannot see.

D. How the helium clouds impact human health and life expectancy.

Answers

Answer:

C. That the small portion of the space we can see is truly representative of all the rest of the universe that we cannot see.

Explanation:

The Cosmological Principle assumes that the small portion of the universe that we can see is representative of the entire universe, even though we can only directly observe a tiny fraction of it. It's an assumption used by Cosmologists to simplify their models of the universe.

Two bumper car in an amusement park ride collide elastically as on approaches the other directly from the rear. Car A has a mass of 450kg and car B 550kg, owing to differences in passenger mass. If car A approaches at 4.5m/s and car B is moving at 3.7m/s, calculate (a) their velocities after collision, and (b) the change in momentum of each.

Answers

Answer:

VA = 3.62 m/s  

VB = 4.42 m /s

Change of momentum of A = -396 kgm/s

Change of momentum of B = 396 kgm/s

Explanation:

Asuming A and B move to the right after the collision

pbefore =  pafter

4.5*450 + 3.7*550 = 450VA + 550VB

In a elastis collition, the coefficient of restitution is 1

1 = (VB - VA)/(4.5 - 3.7)

VB - VA = 0.8

VB = 4.42 m/s

VA = 3.62

Change of momentum of A = 450*(3.62-4.5) = -396 kgm/s

Change of momentum of B = 550*(4.42-3.7) = 396 kgm/s

What four things
are required for photosynthesis?

What four thingsare required for photosynthesis?

Answers

Explanation:

carbon dioxide, chlorophyll, water and light

Two similarities between balanced and unbalanced forces.

Answers

Explanation:

For balanced forces, the severity of the 2 factors is equal, while the magnitude of the 2 factors is unequal in the situation of unbalanced forces. The three separate forces operate in opposing ways in balanced forces. In unbalanced forces, on the other hand, independent forces either behave in the same or reverse direction.

What was Gan De's contribution to astronomy?
A.
He developed the world's first star catalogue.
B.
He was the first to record a lunar eclipse.
C.
He was the first to observe planets.
D.
He invented the telescope.

Answers

Answer:  A. He developed the world's first star catalogue.

Explanation: Gan De's contribution to astronomy was the development of the world's first star catalogue , along with his colleague Shi Shen. He also made observations of the planets, particularly Jupiter, and may have been the first to describe one of Jupiter's moons. Unfortunately, all of Gan De's writings have been lost, but fragments of his works' titles and quoted fragments are known from later texts.

A rock is dropped from a cliff, how far does it drop in 1.4 seconds?
What is the speed of a rock dropped from a cliff after 2.7 seconds?

Answers

Answer:

Explanation:

1) either all the way to the ground, or, if the cliff is high enough,

h = ½(9.8)1.4² = 9.6 m

2) If the cliff is high enough and we ignore air resistance

v = 9.8(2.7) = 26 m/s

What unit of measure is used to measure temperature?
a. Joules
b. Fahrenheit
c. Meters
d. Liters

Answers

Answer:

B. Fahrenheit measures temperature!

Convert 4 centimeters to meters using dimensional analysis and scientific notation. Please go step by step as I am having difficulty with this subject.​

Answers

Answer:

\(thank \: you\)

Convert 4 centimeters to meters using dimensional analysis and scientific notation. Please go step by

A CD with a diameter of 12.0 cm starts from rest and with a constant angular acceleration of 1.0 rad/sec2 acquires an angular velocity of 5.0 rad/sec. The CD continues rotating at 5.0 rad/sec for 15 seconds and then slows to a stop in 12.0 second with a constant angular acceleration. What is the angular distance traveled by a point 4.0 cm from the center, at the time 2.0 seconds from the start?

Answers

As a result, the point 4.0 cm from the center has a total angular displacement of 257.0 radians.

What is angular acceleration?

Angular acceleration is a measure of how quickly the angular velocity of an object changes over time. It is defined as the rate of change of angular velocity with respect to time, and it is a vector quantity with units of radians per second squared (rad/s²).

Here,

We can use the following kinematic equations to solve this problem:

Angular velocity as a function of time and angular acceleration:

ω = ω0 + αt

Angular displacement as a function of time, initial angular velocity, and angular acceleration:

θ = θ0 + ω0t + 1/2 αt²

Final angular velocity squared as a function of initial angular velocity squared, angular acceleration, and angular displacement:

ω² = ω0² + 2αθ

First, let's find the time it takes for the CD to reach an angular velocity of 5.0 rad/sec:

ω = ω0 + αt

5.0 rad/sec = 0 + 1.0 rad/sec² * t

t = 5.0 seconds

Next, let's find the initial angular velocity at the end of the 5 seconds:

ω = ω0 + αt

ω = 0 + 1.0 rad/sec² * 5.0 seconds

ω = 5.0 rad/sec

Using equation 2, let's find the angular displacement during the first 2.0 seconds for a point 4.0 cm from the center:

θ = θ0 + ω0t + 1/2 αt²

θ = 0 + 0 + 1/2 * 1.0 rad/sec² * (2.0 seconds)²

θ = 2.0 radians

Now, let's find the angular displacement during the 15 seconds when the CD is rotating at a constant angular velocity of 5.0 rad/sec:

θ = ω0t + 1/2 αt²

θ = 5.0 rad/sec * 15 seconds + 0.5 * 0 * (15 seconds)²

θ = 75.0 radians

Finally, let's find the angular displacement during the 12.0 seconds it takes for the CD to slow down to a stop:

ω² = ω0² + 2αθ

0 = (5.0 rad/sec)² + 2αθ

α = -(5.0 rad/sec)² / (2 * θ)

α = -6.67 rad/sec² (negative because it is slowing down)

θ = ω0t + 1/2 αt²

θ = 5.0 rad/sec * 12 seconds + 0.5 * (-6.67 rad/sec²) * (12 seconds)²

θ = 180.0 radians

Therefore, the total angular displacement of the point 4.0 cm from the center is 257.0 radians.

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Given: g=10 m/s^2
A car moves a distance of 80 m during
a time interval of 10 s. The average
speed v_avg of this car is:
2 m/s
6 m/s
O 10 m/s
O 8 m/s
O 4 m/s

Answers

During a 10-second period, a car travels 80 meters. This car typically travels at a speed of 8 m/s.

An illustration of average velocity.

For instance, if it takes a person 40 minutes to travel 20 miles north, 20 miles south, and finally 20 miles in between, their average speed is 40 miles divided by 40 minutes, or 1 mile per minute. Instead of distance, average velocity takes into account total displacement.

How is average velocity calculated?

The total displacement must be divided by the total time elapsed in order to determine the average velocity.

average velocity= total displacement/ total time

avg velocity=80/10=8m/s

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green light has a wavelength of 500 nm calculate the frequency.

Answers

Answer:

Solution: Given, the wavelength of the photon particle = 500 nm. In order to calculate the frequency of the photon particle, we use the formula given above. The frequency of the wave is equal to 6×10-4 Hz.

Originally Answered: The frequency of a green light is 6×10^14. What is its wavelength? In your case, the wavelength is 500 nm. What is the wavelength of 675 kHz? Should you leave more than $1,000 in a checking account? What is the frequency of a light that has a wavelength of 550 nm? Why would you even want to know this?

You have been given the wavelength λ (pronounced lambda) in nanometers, but not the frequency. Fortunately, a relationship between wavelength, frequency, and the speed of light, c exists, such that c = λ ⋅ ν. To determine the frequency from the wavelength, divide c by λ:

Calculate the energy, in joules, of a photon of green light having a wavelength of 562nm? The answer is 3.54 ×10−19 J. The equation for determining the energy of a photon of electromagnetic radiation is E = hν, where E is energy in Joules, h is Planck's constant, 6.626 × 10−34J ⋅ s, and ν (pronounced "noo") is the frequency.

Explanation:

An airplane is flying at a velocity of 122.4 m/s. It is getting ready to land so it slows down by accelerating at a rate of -2.8 m/s^2.
What will its new velocity be after 2.6 seconds?

Answers

Answer:

115.12

Explanation:

-2.8=v-122.4/2.6

v=115.12

1. Is it reasonable to expect that anyone would be able to make good sense of a filing system such as this new one? Why or why not?

Answers

It reasonable to expect that anyone would be able to make good sense of a filing system as it reduces the overall storage space occupied by the records.

What is Filing?

This is the process of keeping document safely and being able to easily retrieve them.

The new filing system is based on their volume which is why the space is reduced thereby reducing the ambiguity.

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b. printed circuit board A length th of copper track on a has a cross-sectional area of 5x108 m². The Current in the track is 3.5 mA. Your are with some useful information about of copper contains 6. 0x1026 atoms. show that the electron is about 10²⁹ m². copper. has a mass of 8.9x10³kg. skg of copper 29 for copper density number densi provided r. 1m²​

Answers

Answer:

The change in mean drift velocity for electrons as they pass from one end of the wire to the other is 3.506 x 10⁻⁷ m/s and average acceleration of the electrons is 4.38 x 10⁻¹⁵ m/s².

The given parameters;

Current flowing in the wire, I = 4.00 mA

Initial diameter of the wire, d₁ = 4 mm = 0.004 m

Final diameter of the wire, d₂ = 1 mm = 0.001 m

Length of wire, L = 2.00 m

Density of electron in the copper, n = 8.5 x 10²⁸ /m³

The initial area of the copper wire;

The final area of the copper wire;

The initial drift velocity of the electrons is calculated as;

The final drift velocity of the electrons is calculated as;

The change in the mean drift velocity is calculated as;

The time of motion of electrons for the initial wire diameter is calculated as;

The time of motion of electrons for the final wire diameter is calculated as;

The average acceleration of the electrons is calculated as;

Thus, the change in mean drift velocity for electrons as they pass from one end of the wire to the other is 3.506 x 10⁻⁷ m/s and average acceleration of the electrons is 4.38 x 10⁻¹⁵ m/s².

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Explanation:

The changing mean drift velocity of the electrons plays out at 3.506 x 10⁻⁷ m/s along with an average acceleration nearing 4.38 x 10⁻¹⁵ m/s².

How to solve

As the electrons traverse one end of the wire to another, their mean drift velocity undergoes a shift of 3.506 x 10⁻⁷ m/s with an average acceleration of 4.38 x 10⁻¹⁵ m/s² in accordance with the following parameters:

- The current flowing through the wire is at 4.00 mA.

- The original diameter of the wire, d₁, measures at 4 mm or 0.004 m.

- Conversely, the final diameter, d₂, displays a measurement of 1 mm or 0.001 m.

- The length of the entire wire is consistent, measuring at 2 meters.

- Notably, the density of electrons present within copper reaches an estimated value of 8.5 x 10²⁸ /m³.

Calculations regarding both initial and final area coverage provided by copper must be explored along with numerical data involving the two varying drift velocities for accurate results.

Thus, we arrive at the change rate of the mean drift velocity between points in the wire as well as the plenitude of electron acceleration achieved after contemplation into the corresponding motion periods.

The conclusion reflects that our measurements find the changing mean drift velocity of the electrons plays out at 3.506 x 10⁻⁷ m/s along with an average acceleration nearing 4.38 x 10⁻¹⁵ m/s².

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A sled on ice moves in the ways described below. Friction is so small that it can be ignored. A person wearing spiked shoes standing on the ice can apply a force to the sled and push it along the ice. Choose the one force (A through G) which would keep the sled moving as described in each statement below. You may use a choice more than once or not at all but choose only one answer for each blank. If you think that none are correct, answer choice J.A. The force is toward the right and is decreasing in strength (magnitude).B. The force is toward the right and is increasing in strength (magnitude).C. The force is toward the right and is of constant strength (magnitude).D. The force is toward the left and is decreasing in strength (magnitude).E. The force is toward the left and is increasing in strength (magnitude).F. The force is toward the left and is of constant strength (magnitude).G. No applied force is needed.

Answers

Answer:

G. No applied force is needed.

Explanation:

Force is any motion which changes or intends to change the position of an object. When a force is applied to an object it causes acceleration to increase and velocity changes. The sled is moving at a constant velocity, there is no acceleration in the force therefore force is not applied nor needed.

A 4260-kg roller coaster train full of riders approaches the level loading dock at a speed of 19.0 m/s. It is abruptly decelerated to a speed of 3.2 m/s. Determine the work done on the roller
coaster.
KE+PE+Wext=KE+ PE

Answers

Answer:

below

Explanation:

The change in Kinetic Energy is equal to the work done

  KE = 1/2 mv^2

      Change in KE =   1/2 m (19^2 - 3.2^2) = 747.1 kjoules

solve for a in the acceleration equation

Answers

To calculate acceleration, you use the equation a =Δv/Δt, where Δv is the change in velocity, and Δt is the time it takes for the change to occur.

In physics, acceleration is the change in velocity in a given unit of time. The acceleration of an object is caused by a force acting on the object, as explained in Newton's second law. The SI unit for acceleration is meters per second squared (m/s). Acceleration is the product of the velocity (m/s) divided by the time (s). So, the resulting formula is a = v/t.

Acceleration and the most basic velocity in acceleration are how fast a car can increase its speed, while velocity looks at how fast a car travels a certain distance.

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ONLY answer if you know FOR SURE. if your not 100% on it, DONT FREAKING ANSWER. ONLY IF YOU KNOW FOR SURE!


Which type of graph is best to use with data that shows a comparison of categories?

A. Pie Chart (Circle Graph)

B. Line Graph

C. Bar Graph

D. Frequency Table

Answers

Answer: the answer is (C)

Explanation: Bar graphs show comparisons using number comparisons

can someone help me pleaseenkwnsn​

can someone help me pleaseenkwnsn

Answers

If a third resistor is added in SERIES, what changes happens to the....

a. Total Voltage - stay the same b. Total Current - decrease c. Total Resistance - increase d. Voltage through resistor 1 - decrease e. Current through resistor 1 - decrease

What happens in a circuit?

When you add a third resistor in series, the total resistance of the circuit increases. This is because the current has to flow through all three resistors, so it has to overcome more resistance. The total voltage across the circuit stays the same, because the voltage of the battery is constant. However, the current decreases, because the same amount of current is now flowing through a larger resistance.

The voltage across each resistor also decreases, because the total voltage is divided among the three resistors. The current through each resistor also decreases, because the same current is now flowing through a larger resistance.

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26. Which member of the carbon family is a non-metal?

Please help

Answers

Explanation:

Check out the Periodic Table attached here. The Carbon family is the vertical group starting with Carbon, Group 14. Nonmetals are in green, which element there is a nonmetal?

26. Which member of the carbon family is a non-metal?Please help

1. How is a liquid mixture like a solid mixture? 2. How is a solid mixture different form a liquid mixture?

Answers

solid mixture consists of two or more different solid matter such as fruit salad and vegetable salad liquid mixture consists of two or more different liquids such as mixture of vinegar and water , mixture of oil and water , mixture of oil and vinegar ( dressing of salad ) . Solid mixtures are easier to separate , because you can physically or magnetically separate them ... liquids are a little more hard & liquids

1)Answer the following question in sort
a)Define pressure ?
b)What is the value of standard atmospheric pressure?
c)Mention any one application of liquid pressure in our daily life?
d)Mention in the name of the instruments used to measure the pressure of compressed air?
e)Which instrument is used to measure atmospheric pressure ?
f)What is the unit of compressed air?
g)Define standard atmospheric pressure?
h)Which property of liquid is applicable in water supply system in cities?
i)Which property of liquid supports to use in it in hydraulic machine?

2)Answer the following questions in detail a)Define atmospheric pressure? Prove the presence of atmospheric pressure with the help of an activity?
b)Derive that P=dgh?
c)Describe the structure and working method of mercury barometer briefly?
d)Enlist any three points to show the importance of atmospheric pressure?
e)Enlist any four application of liquid pressure?f)Mention any three events occurred in our daily life which are directly related with pressure?​

Answers

1)a) Pressure is the force exerted per unit area, measured in units such as pascals (Pa) or pounds per square inch (psi).

b) The value of standard atmospheric pressure is approximately 101.3 kilopascals (kPa) or 1 atmosphere (atm).

c) One application of liquid pressure in our daily life is in hydraulic systems, like car brakes, where liquid pressure is used to transmit force and amplify it.

d) The instruments used to measure the pressure of compressed air include pressure gauges or manometers.

e) An instrument called a barometer is used to measure atmospheric pressure.

f) The unit of compressed air is typically measured in pounds per square inch (psi) or pascals (Pa).

g) Standard atmospheric pressure is the pressure exerted by the Earth's atmosphere at sea level. It is approximately equal to 1 atm or 101.3 kPa.

h) The property of liquid that is applicable in water supply systems in cities is its ability to flow and exert pressure, allowing water to be distributed through pipes and reach different levels in buildings.

i) The property of liquid that supports its use in hydraulic machines is its incompressibility, allowing it to transmit force and energy effectively.

2) a)Atmospheric pressure is the force exerted by the weight of the Earth's atmosphere on a surface.

b) The equation P = dgh. This equation can be derived by considering the weight of the fluid column and the force it exerts on a unit area at the base.

c) A mercury barometer consists of a glass tube filled with mercury, inverted into a dish of mercury. The mercury in the tube adjusts its height based on the atmospheric pressure.

d) The importance of atmospheric pressure can be seen in its role in weather patterns, maintaining the balance of gases in the atmosphere, and facilitating breathing for humans and animals.

e) Applications of liquid pressure include hydraulic systems in machinery, such as lifts and cranes, hydraulic brakes in vehicles, and water towers for maintaining water pressure in buildings.

f) Events in daily life directly related to pressure include inflating a balloon, using a bicycle pump to inflate tires, and squeezing toothpaste out of a tube.

1)a) Pressure is defined as the force per unit area. Its unit in the S.I system is newtons per square meter (N/m²) or Pascal (Pa).

b) The value of standard atmospheric pressure at sea level is 101.3 kPa (kilopascals) or 1 atm (atmosphere). c) Liquid pressure has numerous applications in our daily life, but one of the most common ones is the hydraulic braking system used in cars.

d) An instrument used to measure the pressure of compressed air is called a pressure gauge. e) An instrument used to measure atmospheric pressure is called a barometer.

f) The unit of compressed air is generally psi (pounds per square inch).

g) Standard atmospheric pressure is the pressure exerted by the atmosphere at sea level and is equal to 101.3 kPa or 1 atm.

h) The property of liquids that is applicable in water supply systems in cities is their incompressibility. i) The property of liquids that supports their use in hydraulic machines is their incompressibility.

2)a) Atmospheric pressure is defined as the force per unit area exerted by the weight of the atmosphere on the surface. It is proven with the help of the following activity: Take a glass full of water and place a cardboard over it. Hold the cardboard tight and invert the glass. The water will not spill out of the glass, which is because the atmospheric pressure is greater on the cardboard than the pressure inside the glass.

b) The pressure exerted by a fluid can be derived using P = dgh, where P is the pressure, d is the density, g is the acceleration due to gravity, and h is the height of the fluid column.

c) A mercury barometer is made up of a glass tube that is closed at one end and filled with mercury. The tube is inverted and placed in a container of mercury. The pressure of the atmosphere on the open surface of the container forces the mercury in the tube to rise to a height that is proportional to the atmospheric pressure.

d) The importance of atmospheric pressure can be explained by the following points: it enables breathing, regulates the weather, and causes the ocean tides.

e) Some applications of liquid pressure include hydraulic brakes in cars, hydraulic lifts, and hydraulic jacks.

f) Some events that are directly related to pressure include gas escaping from a pressurized container, balloons being inflated, and soda cans being opened.

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What is the magnitude of the electrostatic force between two electrons separated by a distance of 2.00 × 10−8meter? The charge on an electron is −1.60 × 10−19C.1.15 × 10−20N7.20 × 10−2N5.76 × 10−13N3.60 × 106N

What is the magnitude of the electrostatic force between two electrons separated by a distance of 2.00

Answers

F = electrostatic forc

e = charge = -1.60 x 10^-19 C

k= Coulumb's constant = 9 x 10^9 Nm^2/C^2

r= distance = 2 x 10^-8 m

Apply:

\(F=k\frac{e^2}{r^2}\)

Replacing:

F= 9 x 10^9 ( -1.60x10^-19)^2 / (2x10^-8)^2

F= 5.76 x 10^-13 N

New metals like bohrium our blank or made by people

Answers

I don’t have an answer to that

what 2 elements on the periodic table are solid at room temperature?

Answers

Answer:

Eleven non-metals are gases at room temperature, including oxygen and chlorine. One non-metal, bromine, is a liquid at room temperature. The other non-metals are solids at room temperature, including carbon and sulfur.

Answer:

All the elements are solids at 25 deg Celsius except mercury (Hg) and bromine (Br) that are liquids and hydrogen (H), nitrogen (N), oxygen (O), fluorine (F), chlorine (Cl), and the Noble gases in Family 18 that are gases.

The mixing entropy formula derived in the previous problem actually applies to any ideal gas, and to some dense gases, liquids, and solids as well. For the denser systems, we have to assume that the two types of molecules are the same size and that molecules of different types interact with each other in the same way as molecules of the same type (same forces, etc.). Such a system is called an ideal mixture. Explain why, for an ideal mixture.

Answers

For an ideal mixture of two or more substances, the mixing entropy can be derived based on the same principles as for ideal gases. The reason is that ideal mixtures also have particles that are in constant random motion, and the entropy of mixing is still related to the number of possible ways the particles can be arranged.

Ideal mixture explained.

In an ideal mixture, the assumption is that the molecules of different substances are the same size and shape, and have the same intermolecular forces with each other as they do with their own kind. This means that there are no attractive or repulsive forces between particles of different types, which simplifies the calculation of the entropy of mixing.

The mixing entropy of an ideal mixture is determined by the number of possible ways the molecules of the two substances can be distributed among the available volume. Just as in the case of ideal gases, this leads to an increase in entropy when the two substances are mixed, as there are more ways to distribute the molecules than when they are separated.

Therefore, the concept of an ideal mixture allows us to apply the same principles of thermodynamics to denser systems as we do for ideal gases, which makes it a useful tool for studying a wide range of physical and chemical processes involving mixtures.

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The mixing entropy formula applies to ideal mixtures because there are no intermolecular forces between different species, there are no volume changes upon mixing, and the mixing is completely random.

What is Ideal Mixing Entropy Formula?

An ideal mixture is a hypothetical mixture of gases, liquids or solids where the components are assumed to behave as an ideal gas, and where the two types of molecules are the same size and interact with each other in the same way as molecules of the same type (same forces, etc.). In an ideal mixture, the mixing entropy formula applies due to the following reasons:

No intermolecular forces between different species: In an ideal mixture, the molecules of the different components do not attract or repel each other. This means that the interactions between the different species are negligible and the enthalpy of mixing is zero.

No volume changes upon mixing: In an ideal mixture, the components have the same size and shape, and the volume of the mixture is equal to the sum of the volumes of the individual components. Therefore, there are no volume changes upon mixing, and the entropy of mixing is solely dependent on the number of ways of arranging the molecules.

Random mixing: The assumption of ideal mixing also implies that the mixing is completely random, with no preferential interactions between the different species. This means that the entropy of mixing is solely dependent on the number of ways the molecules can be arranged, and this is given by the mixing entropy formula.

Therefore, the mixing entropy formula applies to ideal mixtures because there are no intermolecular forces between different species, there are no volume changes upon mixing, and the mixing is completely random.

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In a Young's double-slit experiment the separation distance y between the second-order bright fringe and the central bright fringe on a flat screen is 0.0176 m, when the light has a wavelength of 425 nm. Assume that the angles are small enough so that is approximately equal to . Find the separation y when the light has a wavelength of 614 nm.

Answers

Answer:

Y = 0.0254 m = 25.4 mm

Explanation:

The formula for the fringe spacing in Young's Double-slit experiment is given by the following formula:

\(Y = \frac{\lambda L}{d}\)

where,

Y = fringe spacing = 0.0176 m

λ = wavelength = 425 nm = 4.25 x 10⁻⁷ m

L = Distance between screen and slits

d = slit separation

Therefore,

\(\frac{0.0176\ m}{4.25\ x\ 10^{-7}\ m} = \frac{L}{d}\\\\\frac{L}{d} = 41411.76\)

Now, for:

λ = 614 nm = 6.14 x 10⁻⁷ m

\(Y = (6.14\ x\ 10^{-7}\ m)(41411.76)\\\)

Y = 0.0254 m = 25.4 mm

A 1.20 kg solid ball of radius 40 cm rolls down a 5.20 m long incline of 25 degrees. Ignoring any loss due to friction, how fast will the ball be rolling when it reaches the bottom of the incline?

Answers

Answer:

1.6s

Explanation:

Given that A 1.20 kg solid ball of radius 40 cm rolls down a 5.20 m long incline of 25 degrees. Ignoring any loss due to friction,

To know how fast the ball will roll when it reaches the bottom of the incline, we need to calculate the acceleration at which it is rolling.

Since the frictional force is negligible, at the top of the incline plane, the potential energy = mgh

Where h = 5.2sin25

h = 2.2 m

P.E = 1.2 × 9.8 × 2.2

P.E = 25.84 j

At the bottom, K.E = P.E

1/2mv^2 = 25.84

Substitutes mass into the formula

1.2 × V^2 = 51.69

V^2 = 51.69/1.2

V^2 = 43.07

V = 6.56 m/s

Using the third equation of motion

V^2 = U^2 + 2as

Since the object started from rest,

U = 0

6.56^2 = 2 × a × 5.2

43.07 = 10.4a

a = 43.07/10.4

a = 4.14 m/s^2

Using the first equation of motion,

V = U + at

Where U = 0

6.56 = 4.14t

t = 6.56/4.14

t = 1.58s

Therefore, the time the ball rolls when it reaches the bottom of the incline is approximately 1.6s

How much work is it to push a box (mass 150 kg) up an incline (angle 15 degrees with the horizontal) that is 8.1 meters long, if the coefficient of kinetic friction between the box and the incline is 0.4

Answers

Given that,

Mass of a box, m = 150 kg

It is pushed at an angle of 15 degrees with the horizontal.

It is 8.1 m long.

The coefficient of kinetic friction between the box and the incline is 0.4

To find,

The work done in pushing the box.

Solution,

First let's see the net force acting on the box.

\(F_{net}=mg\sin\theta+f_k\\=mg\sin\theta+\mu_k mg\cos\theta\)

Work done is given by :

W = force × displacement

\(W=(mg\sin\theta+\mu_k mg\cos\theta)\times s\\\\=150\times 10(\sin15+8.1\times \cos15)\times 8.1\\\\=98206.24\\\\or\\\\=98.2\ kJ\)

So, the required work done is 98.2 kJ.

How much work is it to push a box (mass 150 kg) up an incline (angle 15 degrees with the horizontal)

Running at 2 m/s, Bruce the 45 kg quarterback, collides with Biff, the 90 kg tackle, who is traveling at 7 m/s in the other direction. Upon collision, Biff continues to travel forward at 1 m/s. How fast is Bruce knocked backwards? What is Bruce’s impulse?

Answers

Given data

*The mass of Bruce is m_1 = 45 kg

*The initial velocity of the Bruce is u_1 = 2 m/s

*The mass of the biff is m_2 = 90 kg

*The initial velocity of the Biff is u_2 = -7 m/s

*The final velocity of the first glider is v_2 = -1 m/s

According to the law of conservation of linear momentum, the total linear momentum of a system remains constant

Applying the law of conservation of momentum as

\(\begin{gathered} p_i=p_f \\ m_1u_1+m_2u_2=m_1v_1+m_2v_2 \\ v_1=\frac{m_1u_1+m_2u_2-m_2v_2_{}_{}_{}_{}}{m_1} \end{gathered}\)

Substitute the known values in the above expression as

\(\begin{gathered} v_1=\frac{(45)(2)+(90)(-7)-(90)(-1)}{45} \\ =-10\text{ m/s} \end{gathered}\)

Hence, the speed of the bruce knock backwards is v_1 = -10 m/s

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