an auditorium measures 30.0 m ✕ 15.0 m ✕ 5.0 m. the density of air is 1.20 kg/m3. (a) what is the volume of the room in cubic feet? 79458 correct: your answer is correct. ft3 (b) what is the weight of air in the room in pounds?

If a cannonball explodes into several fragments in mid-air the total momentum of fragments after this explosion will be the same as the momentum of the cannonball before the explosion.

According to the Law of Conservation of Momentum, the momentum of two or more bodies remains conserved unless an external force acts upon them.

In the given case, the force acting on the cannonball is the gravitational force which is the same as the force acting on the fragments of the cannonball after the explosion.

As the forces are the same in both cases, the momentum before and after collision remains the same.

Thus, If a cannonball explodes into several fragments in mid-air the total momentum of fragments after this explosion will be the same as the momentum of the cannonball before the explosion.

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Answer: D. Venus giving life to Pygmalion's statue

Explanation: Hi! I got it right on Edmentum. Hope this helps! <3

The total distance traveled will be 18 miles because distance and displacement are different.

While distance and displacement appear to have the same meaning, they actually have very different definitions and implications. Displacement is the measurement of "how far an object is out of place," whereas distance refers to "how much ground an object has covered during its motion."

Distance is the sum of an object's movements, regardless of direction. The distance can be defined as the amount of space an object has covered, regardless of its starting or ending position.

Δd = d1 + d2 + d3.....

The term "displacement" refers to a shift in an object's position. It is a vector quantity with a magnitude and direction. The symbol for it is an arrow pointing from the initial location to the ending place.

Displacement = Final position - Initial position

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Electric power steering system  are more compact than the hydraulic  pumps , both statement are wrong.

Since electro-hydraulic and electric power steering systems are lighter and more compact than conventional hydraulic power steering systems.The hydraulic power steering system is basically a closed loop system that uses pressurized hydraulic fluids for changing the wheel angle of the front wheels based on the steering angle. It consists of a hydraulic pump driven by  valves, belt, reservoir, cylinder, and a driver control mechanism, whereas Electric power steering is for highly automated  driving, it  has an electric motor that controls the vehicle  and provides enjoying  and  optimal steering feel, and electro-hydraulic power steering is  where an electric motor  drives the pump which  is controlled according to the needed assisting steering force, the delivery of the hydraulic pump is increase at very low  speed in order give a large amount of steering power.

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Training increases our ability to produce greater quantities of physical activity such as maximal force over a short period more moderate levels of force over longer periods.

Performance in middle and long-distance running is governed by a number of significant aerobic and anaerobic factors.

In the literature, there has been a lot of discussion on how effective strength training (ST) is for distance runners.

However, no comprehensive assessment of the findings from these investigations of physical activity has been published so far.

Although there is very strong evidence that any kind of Strength training enhances RE, TT, and the sprint performance, this conclusion was not shared by all of the assessed research.

The differences in methodology that are emphasized may help to explain the inconsistencies in findings and should be taken into account in future research in this area.

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The depth of oil, specific gravity of 0.750, will produce a pressure of 26 psig is =92.3 ft

PSIG refers to pounds per square inch Gauge (S.G.) oil = 0.750

P(ress )=30 psig = 30lb/in²

density of water ρ(w)= 62.4 pound/ft³

=62.4/(12)³  lb/in³

=0.03611  lb/in³

p(ress)=ρ H

30=(s.g) xρ H

30 = 0.750X 62.4/(12)³   H

H = 30x (12)3/0.750 x 62.4

H = 1107.69 in.

=92.3 ft

Relative gravity is another name for specific gravity. Since it lacks any dimensions, it must be a dimensionless quantity. The ratio of a substance's density to that of water at a specific temperature can be used to characterize it. It is significant to remember that temperature is a key factor in influencing any substance's specific gravity. As a result, a substance's specific gravity is a quality that depends on its temperature. Additionally, every substance's specific gravity is impacted by pressure.

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Answer:

24 hrs

Explanation:

12 hrs =25 g

24hrs = 50g

Chemically similar particles are those whose electrical surroundings are the same. If two protons can switch places by rotating or reflecting one another, they are chemically identical.

Protons that are chemically equivalent only generate one signal.

All three Ha protons and all three Hb protons are chemically equal to one another, according to NMR nomenclature. However, the Ha protons and the Hb protons are not chemically similar.

The resonance frequency of the Ha protons differs from that of the Hb protons as a result.

A molecule with equivalent protons emits a single signal. The corresponding protons of ethane are four in ethylene, two in acetylene, and six in benzene.

A molecule, each of which results in an absorption and the absorptions are widely separated in the spectrum are called nonequivalent proton.

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The ocular microscope magnification is 20x.

We need to know about microscope magnification to solve this problem. Microscope is a device utilized for seeing a small object. The microscope has two lenses which are objective and ocular. The total magnification of the microscope lens is

M = Moc x Mobj

where M is total magnification, Moc is ocular magnification and Mobj is objective magnification.

From the question above, we know that

M = 800x

Mobj = 40x

By substituting the following parameter, we get

M = Moc x Mobj

800 = Moc x 40

Moc = 800 / 40

Moc = 20x

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[tex]4.80 \times 10^3 \text { seconds }[/tex]  long does it take to boil away 2.40 kg of the liquid.

Boiling point of He is [tex]$T=4.2 \mathrm{k}$[/tex]

Latent heat of vapourization [tex]$L=2.00 \times 10^4 \mathrm{~J} / \mathrm{kg}$[/tex]

Power of electrical heater [tex]$P=30 \mathrm{w}$[/tex]

mass of liquid is [tex]$m=2.40 \mathrm{~kg}$[/tex]

amount of heat required to boil

[tex]$$\begin{aligned}&Q=m L \\&Q=2.40 \times 2 \times 10^4 \mathrm{~J} \\&Q=4.80 \times 10^4 \mathrm{~J}\end{aligned}$$[/tex]

Power [tex]$p=\frac{\text { work }}{\text { time }}=\frac{\text { Energy }}{\text { Time }}$[/tex]

[tex]$$\begin{aligned}P &=\frac{Q}{t} \\\text { tine } t &=\frac{Q}{P}=\frac{4.80 \times 10^4 \mathrm{~J}}{10} \\t &=4.80 \times 10^3 \text { seconds }\end{aligned}$$[/tex]

The heat or energy that is absorbed or released during a substance's phase shift is known as latent heat. It could go from a solid to a liquid or from a liquid to a gas, or vice versa. Enthalpy, a characteristic of heat, is connected to latent heat.

The heat that is used or lost as matter melts and transitions from a solid to a fluid form at a constant temperature is known as the latent heat of fusion.

Due to the fact that during softening the heat energy anticipated to transform the substance from solid to fluid at air pressure is the latent heat of fusion and that the temperature remains constant during the process, the "enthalpy" of fusion is a latent heat. The enthalpy change of any quantity of material during dissolution is known as the latent heat of fusion.

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By using the lowest resonant frequency, the wave speed is 389.084 m/s.

We need to know about the fundamental resonant frequency to solve this problem. When the string is vibrating at its lowest resonant frequency, it should follow the rule

λ = 2L

where λ is wavelength and L is length of string

From the question above, we know that

f = 922 Hz

L = 21.1 cm

By substituting to the following equation, we can calculate the wavelength

λ = 2L

λ = 2 . 21.1

λ = 42.2 cm

λ = 0.422 m

Find the speed of wave

v = λ . f

v = 0.422 . 922

v = 389.084 m/s

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Based on the first paragraph that acts as an opener, a sample narration is given below:

Music thudded out of the shop and mingled with some of the other noises of the city.

It was the festival of the goat in the city of Raek and this was a huge celebration as several people gathered in a cacophony of noises which were a mix of traditional music, and then chants and songs from the locals.

Indeed, this was a beautiful ceremony and although I was a tourist, I thoroughly enjoyed myself and even participated in the killing of the goat which was the reason for the festival and celebration.

This refers to the storytelling that is done with the aid of a narrator in order to advance a plot.

Hence, we can see that Based on the first paragraph that acts as an opener, a sample narration is given below:

Music thudded out of the shop and mingled with some of the other noises of the city.

It was the festival of the goat in the city of Raek and this was a huge celebration as several people gathered in a cacophony of noises which were a mix of traditional music, and then chants and songs from the locals.

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A Carnot engine operates on steam between [tex]65^0[/tex] and [tex]425^0[/tex]. The ideal efficiency of the Carnot engine will be -1.065.

How to calculate the efficiency of the Carnot engine?

To find efficiency of the Carnot engine, following formula is used:

[tex]\eta =1-\frac{T_2}{T_1}[/tex]

where, [tex]T_1, T_2[/tex] are the temperatures on which the engine operates. They are always in Kelvin.

Now, we will convert Celsius to Kelvin.

[tex]65^0=338.15K\\425^0=698.15K[/tex]

Substituting the values in the formula,

We get:

[tex]\eta = 1-\frac{698.15}{338.15} \\\eta = 1-2.065\\\eta = -1.065[/tex]

Hence, the ideal efficiency of the Carnot engine will be -1.065.

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A 2SO-mL bottle of a sports drink solution contains 4.SO% mass of sodium chloride.

The molal concentration of sodium chloride in this bottle of sports drink is 0.806 m

What do you understand by molal concentration?

Molal concentration is also known as molality.

It is defined as the total moles of solute dissolved in per kg of the solvent.

It is used to determine the concentration of the solute when it is dissolved in solvent. The unit of molality is mol/ kg.

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Explanation:

why do you think is important to study about that different forms of precolonial literature?

only cca and ccu  code can  encode for proline and utilized in reaction containing a 2:1 ratio of ctp and utp

The rate-limiting stage of de novo CTP biosynthesis is the conversion of uridine triphosphate (UTP) into cytidine triphosphate (CTP), which is mediated by cytidine triphosphate synthetase (CTPS) (Scheme 17). 46,178. Therefore, CTPS activity controls the rates of RNA, DNA, and phospholipid synthesis occurring inside of cells

A codon is a DNA or RNA sequence of three nucleotides (a trinucleotide) that forms a unit of genomic information encoding a particular amino acid or signaling the termination of protein synthesis (stop signals). There are 64 different codons: 61 specify amino acids and 3 are used as stop signals.

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Answer: 4.8 seconds

Explanation:

d=r*t

6.5=1.25*t

6.5/1.25= 4.8

Hope this helps! :)

Chlorine has two naturally occurring isotopes, [tex]^{35}Cl[/tex] and [tex]^{37}Cl[/tex].

What is the mass number,  number of  protons, neutrons, and electrons are present in [tex]^{35}Cl[/tex]?

The mass number of [tex]^{35}Cl[/tex] is 35.

The number of protons present in [tex]^{35}Cl[/tex] is 17.

The number of neutrons present in [tex]^{35}Cl[/tex] is 18.

The number of electrons present in [tex]^{35}Cl[/tex] is 17.

What is the mass number,  number of  protons, neutrons, and electrons are present in [tex]^{37}Cl[/tex]?

The mass number of [tex]^{37}Cl[/tex] is 37.

The number of protons present in [tex]^{37}Cl[/tex] is 17.

The number of neutrons present in [tex]^{37}Cl[/tex] is 20.

The number of electrons present in [tex]^{37}Cl[/tex] is 17.

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The centripetal acceleration of the object will be 2 m/s^2.

An object moving in a circular motion has a centripetal force(F)

F = mv^2/R

Its centripetal acceleration is given by the following equation,

ma = mv^2/R

a = v^2/R

We know that in the case of circular motion, v = wr

Here, W is the angular frequency which is equal to 2pi/Time Period(T).

Hence its centripetal acceleration is

a = w^2(R)

Putting w = 2pi/T= 2pi/6.28 and R= 2 meters in the above equation

a = (2pi/6.28)(2)

a = 2 m/s^2.

Hence, the centripetal acceleration of the object will be 2 m/s^2.

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The centripetal acceleration of the object will be 2 m/s^2.

An object moving in a circular motion has a centripetal force(F)

F = mv^2/R

Its centripetal acceleration is given by the following equation,

ma = mv^2/R

a = v^2/R

We know that in the case of circular motion, v = wr

Here, W is the angular frequency which is equal to 2pi/Time Period(T).

Hence its centripetal acceleration is

a = w^2(R)

Putting w = 2pi/T= 2pi/6.28 and R= 2 meters in the above equation

a = (2pi/6.28)(2)

a = 2 m/s^2.

Hence, the centripetal acceleration of the object will be 2 m/s^2.

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The surface area of the material in cm²/mg is 4250 cm²/mg

We'll begin by converting 425 m²/g to cm²/g. This can be obtained as follow:

1 m²/g = 10000 cm²/g

Therefore,

425 m²/g = (425 m²/g × 10000 cm²/g) / 1 m²/g

425 m²/g = 4250000 cm²/g

We can convert 4250000 cm²/g to cm²/mg as follow:

1000 cm²/g = 1 cm²/mg

Therefore,

4250000 cm²/g = (4250000 cm²/g × 1 cm²/mg) / 1000 cm²/g

4250000 cm²/g = 4250 cm²/mg

Thus, we can conclude that the surface area in cm²/mg is 4250 cm²/mg

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When An electromagnetic wave with frequency f = 10 mhz is propagating in a material with parameters h = 3 h0, p = p0 (h0 = 8.85 x 10-12 f/m; p0 = 1.257 x 10-6 h/m), and v = 10-7 s/m. Then wavelength of electromagnetic wave is 410 nm.

When a magnetic field and an electric field interact, electromagnetic waves are created. An electromagnetic wave has an electric field and a magnetic field that are perpendicular to one another.

The parts of the electromagnetic spectrum are designated as follows, from highest to lowest energy: gamma rays, X-rays, ultraviolet radiation, visible light, infrared radiation, and radio waves. The radio wave region of the electromagnetic spectrum includes microwaves (such as those found in microwave ovens).

An electromagnetic wave first encounters the atoms of a physical substance, which absorb the radiation. Vibrations. The electrons inside of this atom begin vibrating as a result of the absorption of this electromagnetic energy.

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The G string on a guitar stretches by 1.696 mm when it is first tuned by using the formula of young's modulus.

Expression for the velocity of the waves on the stretched string

ν = √T/μ

Where, T = tension on the string

250 =√T/ 1.1 × 10⁻³

T = 68.75 N

The young modulus of the steel is given by

Y = 200 × 10⁹ Pa

Y = (T/A)/(Δl/l)

Δl = Tl/AY

By putting the values, we get,

Δl = 68.75 × 0.75/ 200 × 10⁹ × π × (0.22 × 10⁻³)²

Δl = 1.696 × 10⁻³m

Or, Δl = 1.696 mm

Hence, by 1.696 mm, the G string stretch when it is first tuned.

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The formula for calculating resistance is Volts / Current (option C). Details about resistance can be found below.

Resistance is a force that tends to oppose motion. It is measured in a unit called ohms (Ω).

The electrical resistance of a circuit component or device is the ratio of the voltage applied to the electric current which flows through it.

The resistance of an object can be calculated by dividing the voltage (V) by its current (I) as follows:

R = V/I

Therefore, the formula for calculating resistance is Volts / Current.

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The astronomers introduced the most widely accepted hypothesis regarding the origin of the solar system is Immanuel Kant in 1755.

Newton's equations of gravity and rotatory motion served as the foundation for most of Kant's theories. He believed that primaeval matter, which he believed to have been generated supernaturally, was dispersed throughout the cosmos. Small, chilly, hard particles made up this substance.

Due to the gravitational pull of one another, these particles were drawn to one another.

In his 1755  "The Universal Natural History and Views of the Heavens," Kant discusses astronomy as well as two significant cosmological theories. The first is his "Nebular Hypothesis" on the formation of stars and planets, in which he proposed that faint, thin clouds of dust and gas far out in space would collapse in on themselves under the influence of gravity, forcing them to spin to form a disc. The development of stars and planets from this rotating disc would account for the rotation of Earth and the other planets.

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The outside air temperature is 1° C.

Pressure is defined as the force applied to an object per unit area. It's represented by the symbol 'P'. The SI unit of pressure is Pascal (Pa).

The pressure altitude at which the aeroplane is flying = 33500 ft

The density altitude at which the aeroplane is flying = 3200 ft

The outside air temperature is,

[tex]T= \frac{ P}{ pR}[/tex]

The pressure altitude in Pascal is,

33500 ft = 23.800 Pa

The density of the altitude in Pascal is,

3200 ft = 1.225 Pa

[tex]Temperature = \frac{Pressure } {Density \times Gas \: constant }[/tex]

[tex]T= \frac{ P}{p \times R}[/tex]

[tex]T = \frac{23.800}{1.225 \times 287.05} [/tex]

T = 1° C.

Therefore, the outside air temperature is 1° C.

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It is because water has a higher heat capacity as compared to the heat capacity of oil.

The amount of heat that must be applied to an object in order to cause a unit change in temperature is known as the heat capacity or thermal capacity of that object. Heat capacity is measured in joules per kelvin (J/K), the SI unit.

Heat capacity is an example of extensive property. A physical quantity which is an extensive property has a value that is proportional to the size of the system it describes or the amount of matter present in the system. C stands for the heat capacity of an object.

Because water has a higher specific capacity than oil and must expend more energy to cool down, it does so more slowly when two equal masses of hot water and oil are allowed to cool.

Therefore, When the equal mass of hot water and oil at the same temperature is allowed to cool water cools slower than the oil.

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A metal ball is hanging from the ceiling through an insulating thread. This ball is attracted to a positively charged rod that is held near the ball and thus the charge of the ball must be Negative or Neutral.

Whether any object is made up of conductive or nonconductive material, it affects how it behaves once it has been charged.

Electrons can move freely between particles when they are in conductors, which are substances. Charge can be transported across the whole surface of an object constructed of a conducting substance.

Charge is swiftly dispersed all across the full surface of the object if it is applied to it at a specific point. The motion of the electrons causes the distribution of charge.

A charged conductor can even transfer its charge to any another object if it comes into contact with that other object. When one object is constructed of a conducting substance, the charge can be transferred from one object to another more easily.

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The electric field that cause the bead to hang suspended in the air is calculated as E = -612292.045 N/C

To find the electric field, the given values are:

Mass = 0.1g

Charged excess electrons = 1×10¹⁰

The Electric field can be defined as the ratio of the electric force per unit charge.

So, the working equation for this is,

E = F/Q,

where E is the strength of electric field, F is the force and Q is the charge.

The force is equal to:

F = mg = (0.1/1000 kg)(9.81 m/s²) = 0.981 ×10⁻³ N

The charge of the excess electrons is equal to:

Q = (-1.6021766208×10⁻¹⁹ C/electron)(1×10¹⁰ electrons)

Q = -1.6021766208×10⁻⁹ C

E = 0.981 ×10⁻³ N/-1.6021766208×10⁻⁹ C

E = -612292.045 N/C

Thus, the electric field that cause the bead to hang suspended in the air is calculated as E = -612292.045 N/C

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It takes our Solar system 230 million years to complete one orbit around the milky way galaxy; option E.

The solar system refers to the system of the Sun and the planets that orbit it.

The Sun is the star of our solar system. The planets in our system include:

Our solar system is a part of the Milky Way Galaxy.

It takes about 230 million years for our Solar system to complete one orbit around the Milky Way Galaxy.

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