A light rope is wrapped several times around a large wheel of radius 0.400 m. The wheel rotates in frictionless bearings about a stationary horizontal axis. The free end of the rope is tied to a suitcase of mass 15.0 kg. The suitcase is released from rest at a height of 4.00 m above the ground. The suitcase has a speed of 3.5 m/s when it reaches the ground. Calculate (a) the angular velocity of the wheel when the suitcase reaches the ground and (b) the moment of inertia of the wheel.

Answers

Answer 1

Answer:

a)  ω = 8.75 rad/s

b) I = 12.9 kgm^2

Explanation:

Given data:

Radius of the wheel r = 0.400 m

Speed of the suitcase v = 3.50 m/s

Height h = 4.00 m

Mass of the suitcase m = 15 kg

a) To determine angular velocity of the wheel when the suitcase reaches the ground is

we know that ,         ω = v / r

ω = (3.50 m/s) / (0.400 m )

    ω = 8.75 rad/s

b) From the conservation of energy

  we have         KEi + Ui = KEf + Uf

where KEi , KEf are initial and final kinetic energies and Ui and Uf are initial and final potentail energies.  

We know that KEi = 0 and Uf   = 0

             Ui = KEf

           mgh = (1/2)mv^2 + (1/2) Iω^2

I = moment of inertia of wheel to determined

15×9.8×4 = (1/2) (15)(3.5)^2 + (1/2) I (8.75)^2

Calculating we get                  

I = 12.9 kgm^2

Answer 2

A force that acts on a body moving in a circular path and is directed toward the center around which the body is moving.

According to the question, The formula is used to find the omega is:-

[tex]w =\frac{v}{r}[/tex]

[tex]w= \frac{3.50}{0.400}[/tex]

Hence, the omega is ω = 8.75 rad/s

From the conservation of energy  we have  KEi + Ui = KEf + Uf

where Kei, KEf are initial and final kinetic energies and Ui and Uf are initial and final potential energies.  

We know that KEi = 0 and Uf   = 0

So, therefore the Ui = KEf

Hence [tex]mgh = \frac{1}{2}mv^{2} + \frac{1}{2} Iw^{2}[/tex]

After putting the value:-

[tex]15*9.8*4 = \frac{1}{2}*15*3.5^{2} + \frac{1}{2}*I*8.75^{2}[/tex]

Hence the value of I is[tex]12.9 kgm^2[/tex]

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Mercury thermometer is not suitable to measure the temperature of very cold place. Why?​

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The use of a mercury thermometer is not suitable for the purpose of determining the temperature of extremely cold ice because at such low temperatures, mercury transforms into a translucent state, making it impossible to read.

Another reasons why mercury thermometer is not suitable to measure the temperature of the very cold place are:

Since mercury freezes at a temperature of -38.83 degrees Celsius, a mercury thermometer will not work in extremely cold temperatures. We are unable to use a thermometer that contains mercury at low temperatures because the glass could shatter at those temperatures.The body whose temperature we are measuring with the thermometer does not radiate heat in the opposite direction.When exposed to low temperatures, mercury takes on a transparent appearance, making it more challenging to obtain accurate readings.

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A net force of 10 newtons accelerates an object at 5.0 meters per second^2. What net force would be required to accelerate the same object at 1.0 meters per second^2

Answers

The proper answer is that a force of 16 N net would be needed to accelerate the same item at 1.0 m/s2.

How is the net force needed to accelerate calculated?

Newton's second law of motion condenses these relationships. The answer to the acceleration equation above can be written as Net Force = Mass Acceleration, or F = m a.

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Classify the phase-change scenarios according to the direction of the heat flow in each case. No net transfer of heat occurs Heat is transferred from the water to the surroundings Heat is transferred to the water from the surroundings

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When working through these problems, think about the heat in terms of movement of the molecules of water.

Heat is transferred from the water to the surroundings --- water molecules slowing down.

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ABOUT HEAT TRANSFER

Heat transfer is the transfer of energy due to the difference of temperature between two different places. The main discussion in heat transfer is how the energy in heat can move places and the rate of transfer under certain conditions. Heat transfer includes the processes of inflow and outflow of heat. In industrial processes, heat transfer is used to achieve the required temperature in the industrial process and maintain the required temperature throughout the process.

Heat transfer from one object to another can occur by conduction, convection, and radiation. The determinant of heat transfer is the temperature difference. The direction of heat transfer starts from a medium with a high temperature to a medium with a lower temperature. Heat transfer can occur with a single process or multiple processes.

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For a series circuit, as lights are added, the voltage across each bulb increases/ decreases/ remains the same ?

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Answers

For a series circuit, as lights are added, the current across each bulb decreases.  

At an outdoor physies demonstration, a delay of 0.50 second was observed between the time sound waves left a loudspeaker and the time these sound waves reached a student through the air. If the air is at STP, how far was the student from the speaker? (1) 1.5 × 10-m (91.7 × 102 m (3) 6.6 × 10? m (4) 1.5 × 108 m

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The distance that is covered by the sound is  1.66 * 10^2 m.

What is the distance?

We know that sound is a mechanical wave. The implication of this is that sound woulod need to have a medium through which the sound can be able to travel. The speed of sound in the various media through which the sound travels is not the same.

We know that the speed of sound in air is 331 m/s and we have to use this in our calculations.

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A certain light truck can go around a flat curve having a radius of 150 m with a maximum speed of 34.5 m/s. With what maximum speed can it go around a curve having a radius of 60.0 m

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With 20.23 ms⁻¹,  maximum speed can it go around a curve having a radius of 60.0 m

What's the maximum speed?

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How much of the world's energy is hydroelectric?

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According to the United Nations Environment Programme, hydropower accounted for 16.6% of global electricity generation in 2018.

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After seeing the fur rubbed with the rod attract the neutral paper, imagine you had an instrument that lets you zoom in enough to see what the paper and rod are made of. Draw a model that shows what happens to the neutral paper to cause it to move towards the charged rod. Make sure to label everything in your model

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Seeing the fur rubbed with the rod attracts neutral paper, this happens because the friction of the rod with the rubbed can produce a static electric force. It is this static electric force that causes the pieces of paper to be attracted and rod up.

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What details can you add to your model of sound? model being a slinky

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Answer:

I really hope this helps

Explanation:

Trends are easier to detect when the signal-to-noise ratio is low.
a True
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Answer:

I think it's b. False

Explanation:

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"Scientific evidence for warming of the climate system is unequivocal."

What evidence can be used to study the Earth's past climate?

Organisms such as diatoms, forams, and coral) can obey useful climate proxies. Other proxies involve ice cores climate, tree rings, and sediment cores. Chemical deputy records include isotope ratios, elemental examination, biomarkers, and biogenic silica.

Climate analyzers use every possible direct and indirect compilation to study the full history of Earth's climate, ice cores drawn from Greenland, Antarctica, and tropical mountain glaciers appear that Earth's climate greets to changes in greenhouse gas levels.

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In a comic book, Superman carries a bus (with a bomb on board) up into the air, hovers for a second and then
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This situation breaks Newton's Second Law of motion which states that for every action there is an equal and opposite reaction.

It could have been ideal if the force exerted on the bus by superman should also be exerted on superman by the bus because if we use the equation F=m*a, since superman's mass is so much less than the mass of the bus, he should experience a much higher acceleration than the bus does.

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A 2kg block is initially at rest on a horizontal frictionless table. A force of 15N is then exerted on the block at an angle of 37° below the horizontal. The change in kinetic energy after moving 3m is?

Answers

Answer:

Approximately [tex]36\; {\rm J}[/tex].

Explanation:

Under the assumption, there is no friction to hinder the motion of the block. As a result, the increase in the kinetic energy of the block would be equal to the external work done on the block.

Let [tex]F[/tex] denote this magnitude of this force, let [tex]s[/tex] denote the magnitude displacement, and let [tex]\theta[/tex] denote the angle between this force and displacement. To find the work that this force has done on the block, use the formula:

[tex]\begin{aligned}(\text{work}) &= F\, s\, \cos(\theta)\end{aligned}[/tex].

For example, since the block in this question is moving along a horizontal table, displacement of the block would be in the horizontal direction. It is given that the angle between this force and the horizontal direction is [tex]37^{\circ}[/tex]. Thus, the angle between the force and the displacement would be [tex]\theta = 37^{\circ}[/tex].

Magnitude of this force is [tex]F = 15\; {\rm N}[/tex], while magnitude of displacement is [tex]s = 3\; {\rm m}[/tex]. The work done on this block would be:

[tex]\begin{aligned}(\text{work}) &= F\, s\, \cos(\theta) \\ &= (15\; {\rm N})\, (3\; {\rm m})\, \cos(37^{\circ}) \\ &\approx 36\; {\rm N\cdot m} = 36\; {\rm J}\end{aligned}[/tex].

Hence, the kinetic energy of this block would increase by [tex]36\; {\rm J}[/tex].

If the refractive index from air to water, nw = 1.3 and the velocity of light in the air is
3 x 108 m/s, what is the velocity of light in water?

Answers

Answer:

[tex]n _{w} = \frac{c}{v} \\ 1.3 = \frac{3 \times {10}^{8} }{v} \\ v = \frac{3 \times {10}^{8} }{1.3} \\ v = 2 \times {10}^{8} \: m {s}^{ - 1} [/tex]

a typical gps satellites orbit at an altitude of 2.0 x10^7 m. find (a) the orbital period, and (b) the orbital speed of such a satellite

Answers

the orbital period is  7200sec or 2hours and orbital speed is 7,27m/s

(a) The orbital period of a satellite is the time it takes for the satellite to make one full orbit around the Earth. To calculate the orbital period, we can use the equation: T = 2 * pi * (a^3/GM)^(1/2) where T is the orbital period, a is the semi-major axis of the orbit (which is equal to the altitude of the satellite), pi is approximately 3.14, G is the gravitational constant (approximately 6.67 x 10^-11 m^3/kgs^2), and M is the mass of the Earth (approximately 5.98 x 10^24 kg).Plugging in the given altitude of 2.0 x 10^7 m for a and the known values for pi, G, and M, we get:

T = 2 * pi * (2.0 x 10^7 m)^3/ (6.67 x 10^-11 m^3/kgs^2 * 5.98 x 10^24 kg)^(1/2)

Simplifying, we get:

T = 2 * pi * (8.0 x 10^21 m^3/ (4.03 x 10^34 kg*m^3/s^2))^(1/2)

T = 2 * pi * (1.98 x 10^13 s^2/kg)^(1/2)

T = 7200 sec (or 2 hours)

(b) The orbital speed is the distance traveled by the satellite in one hour. We can calculate the orbital speed using the equation v = 2πa/T

Plugging in the values of a and T we get :

v = 2π (2.0 x 10^7 m) / 7200 sec

v = 7,27 m/s

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Because of the Doppler effect, a light- or sound-emitting object moving toward you has a ________ compared to a stationary object.

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Because of the Doppler effect, a light- or sound-emitting object moving toward you has a lower amplitude compared to a stationary object.

The Doppler effect is generally defined as the shift in wave frequency (whether it be sound or light) caused by relative motion between the wave source and the observer. Every time a source wave moves in reference to the observer, this effect can be seen.

The Doppler effect allows astronomers to determine the frequency of light waves as an object moves in relation to the observer. As it approaches you, the frequency decreases and the item exhibits a blueshift. A redshift indicates that an item is travelling away from us.

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In the four-stroke internal combustion engine, fuel is ignited during the ~A. Compression B. Power C. Intake D.~ Exhaust stroke.

Answers

Answer:

Explanation:

Compression

Answer:

The answer is power

Explanation:

The power stroke is when fuel is ignited

how would you describe the atmosphere to a friend.

-We are discussing the book Paulo's Parachute Mission-​

Answers

Answer:

its a shield that can protect us from super hot rays and all though ita not that strong atleast we wont get burned to death lol :)

Una atracción de feria consiste en lanzar un trineo de 2 kg por una rampa ascendente que forma un ángulo de 30º con la horizontal. Si el coeficiente de rozamiento es 0,15 ¿con qué velocidad hay que lanzar el trineo para que ascienda 4 m por la rampa?

Answers

Answer:

La velocidad con la que se debe lanzar el trineo es aproximadamente 9.96 m/s

Explanation:

La masa del trineo, m = 2 kg

El ángulo de inclinación del trineo, θ = 30 °

El coeficiente de fricción, μ = 0,15

La altura a la que debe ascender el trineo, h = 4 m

La reacción normal del trineo en la rampa, N = m · g · cos (θ)

La fuerza de fricción [tex]F_f[/tex] = N × μ

Dónde;

g = Th aceleración debida a la gravedad ≈ 9.81 m/s²

∴ [tex]F_f[/tex]  = 0.15 × 2 kg × 9.81 m/s² × cos (30°) ≈ 2.55 N

La longitud de la rampa que se mueve el trineo, l = h/(sin(θ))

∴ l = 4/(sin(30°)) = 8

La longitud de la rampa que se mueve el trineo, l = 8 m

El trabajo realizado sobre la fricción, [tex]W_f[/tex] = [tex]F_f[/tex] × l

[tex]W_f[/tex] = 2.55 × 8 ≈ 20.4

El trabajo realizado sobre la fricción, [tex]W_f[/tex] ≈ 20.4 Julios

El trabajo realizado para levantar el trineo a 4 metros de altura, P.E. = m·g·h

∴ P.E. = 2 kg × 9.81 m/s² × 4 m ≈ 78.48 Joules

El trabajo realizado para levantar el trineo a 4 metros de altura, P.E. ≈ 78.48 Joules

El trabajo total requerido para levantar el trineo 4 metros por la rampa, [tex]W_t[/tex] = [tex]W_f[/tex] + P.E.

[tex]W_t[/tex] = 20.4 J + 78.84 J ≈ 99.24 J

Energía cinética, K.E. = 1/2 × m × v²

La energía cinética necesaria para mover el trineo por la rampa, K.E. se da de la siguiente manera;

K.E. = 1/2 × 2 kg × v² ≈ 99.24 J

∴ v² ≈ 99.24 J/(1/2 × 2 kg)

La velocidad con la que se debe lanzar el trineo para que ascienda 4 metros por la rampa, v ≈ 9.96 m/s

Calculate the rotational kinetic energy of a 12-kg motorcycle wheel if its angular velocity is 120 rad/s and its inner radius is 0.280 m and outer radius 0.330 m.

Answers

According to the question the rotational kinetic energy of a 12-kg motorcycle wheel is 809.14 J

What does rotational kinetic energy?

The SI unit for rotational kinetic energy is the joule (J). The rotating kinetic energy formula has a similar structure to a translational kinetic energy equation. Kinetic energy is created by spinning objects around an axis. This type of energy is influenced by the object's mass, weight, and center of mass angle with respect to the axis.

Given data -

Mass = 12-kg

Angular velocity (ω) -120rad/s

inner radius = 0.280 m

outer radius = 0.330 m.

By using the formula

I = ½*M (r1² + r2²)

I = ½ *(12) * (0.2802 + 0.3302)

I = 1.1238 Kgm2

K.E = ½*Iω2

K.E = ½ * (1.1238)*(120)2

K.E = 809.14 J

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he period of a wave is equal to the time it takes for one wavelength to pass by a fixed point. You stand on a pier watching water waves and see 10 wavelengths pass by in a time of 40 seconds. a. What is the period of the water waves?b. What is the frequency of the water waves?c. If the wavelength is 3 meters, what is the wave speed?

Answers

The period of water waves is 4 seconds. The frequency of water waves is 0.25 Hz. The wave speed is 0.75 m/s.

What is a period of waves and frequency?

Period of waves or wave period represents the time taken by the wave to complete one cycle. It is also defined as the time is taken for two successive crests or troughs (one wavelength) to pass through the specific point.

The wave period is measured in seconds. Hence, its unit is seconds (s). The period of a wave is the ratio of the wavelength and velocity. The wave period is inversely proportional to the frequency.

Frequency is defined as the number of waves passes through the medium in a given time.  Frequency equals the number of cycles per second. The unit of frequency is hertz (Hz).

Frequency is inversely proportional to the wave period. If the frequency increases, the wave period decrease, and the wave period increases by decreasing the wave period.

The wave speed equals the product of wavelength and frequency. Wave speed is defined as the distance of wave travels in a given time. The unit of wave seed is m/s.

From the givens,

time = 40 seconds, wavelength = 10m

Wave period = time/wavelength

                     = 40/10

Wave period = 4 seconds.

Frequency = 1 / wave period

                  = 1 / 4

Frequency = 0.25 Hz.

Wave speed = wavelength × frequency

                    = 3×0.25

                    = 0.75 m/s

Wave speed = 0.75 m/s.

Hence, the wave period is 4s, the frequency is 0.25 Hz, and the wave speed is 0.75 m/s.

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Runner A is initially 2.0 mi west of a flagpole and is running with a constant velocity of 8.0 mi/h due east. Runner B is initially 9.0 mi east of the flagpole and is running with a constant velocity of 4.0 mi/h due west. How far are the runners from the flagpole when they meet?

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The definition of constant velocity is the speed of a moving object that doesn't change over time. The system travelling at a constant speed is subject to zero net acceleration.

What distinguishes instantaneous velocity from average velocity?

In contrast to instantaneous velocity, which is determined by slope of tangent line, average speed is defined as the shift in location (or displacement) during the course of transit.

Which of the four main claims about how a body can accelerate even when it has no velocity is untrue?

Speed is the measure of velocity in magnitude. As a result, it is impossible to have two objects moving at the same velocity. The right response is therefore option A.

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Wilbur ran 1-kilometer. Then he ran 500 meters. How many meters did Wilbur run all together?
A) 15,000
B) 1,500
C) 1000
D) 150

Answers

The answer is B 1,500 meters since 1 kilometer to meters is 1,000 and u add the 500

The direction of the velocity of the planet is _______________________ (alwaysThe direction of the velocity of the planet is _______________________ (always, seldom, never) perpendicular to the net force acting upon the planet., seldom, never) perpendicular to the net force acting upon the planet.

Answers

According to the satellites' orbits and the speed at which they move, it either happens frequently or always.

As we begin to examine satellite orbits, we find that a circular orbit places the satellite always perpendicular to the object's net force and speed.

The orbit is stretched, just like in elliptical orbits. This informs us that the orbit has four points. As a result, the satellite rarely faces the satellite's net force in a perpendicular direction.

Rarely and always for elliptical orbits. According to the satellites' orbits and the speed at which they move, it either happens frequently or always.

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Plz help me !!!!!!!!!!

Answers

Answer:

A. These vibrations can travel through solids, liquids, and gases, but not through empty space.

What additional kind of energy makes Cv larger for a diatomic gas than for a monatomic one?
O Charismatic energy
O Translational energy
O Heat energy
O Rotational energy
O Solar energy

Answers

Answer:

translational energy

Explanation:

because is diatomic

If a bird lands on a tree, is that an example of speed, velocity, or acceleration?

Answers

I think the answer is:
Velocity
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During Alexander Hamiltons term as a secretary of the treasury, would you rather be a speculator or a war veteran? Why? Which of the following is the origin of almost all the large moons around the jovian planets? A) They are captured asteroids.B) They are captured comets.C) They are captured planets.D) They were formed by condensation and accretion in a disk of gas around the planet.E) They were formed by giant impacts. artificial intelligence, along with _______ and _________ , will not take away the majority of our work but will change the way we work.a. Agility and productivity b. Automation and digital advances c. Automation and face-to-face communication d. Digital advances and agility Anybody who knows Pre Calc?? My last offer hereSolution PLS! A sequential circuit has one flip-flop Q, two inputs X and Y, and one output S. The circuit consists of a D flip-flop with S as its output and logic implementing the function D = X Y S with D as the input to the D flip-flop. Derive the state table and state dia- gram of the sequential circuit. Suppose that this year in the state of California, a farmer grows wheat, which she sells to a miller for $25. The miller turns the wheat into flour, which she sells to a baker for $70. The baker turns the wheat into bagels, which she sells to consumers for $100. Consumers eat the bagels. What amount goes into GDP in this economy In the decathlon event at large track meets, male athletes compete in a total of 10 events. Their combined performance in each of the events is used to determine the winner. Two of the events are the 200-meter dash and the javelin throw. For 12 athletes at a large international competition, performances in these two events are recorded and placed in a scatterplot. The value of r for this scatterplot is 0.369.A graph titled decathlon Events has 200-meter dash time (seconds) on the x-axis, and Javelin throw distance (meters) on the y-axis. Points are grouped loosely together in a line with positive slope.Which of the following best describes the relationship between the variables in the scatterplot?Those with lower 200-meter times tend to have longer javelin distances. The relationship is strong.Those with higher 200-meter times tend to have longer javelin distances. The relationship is strong.Those with lower 200-meter times tend to have longer javelin distances. The relationship is moderate.Those with higher 200-meter times tend to have longer javelin distances. The relationship is moderate. answer is D kenneth burke One of the most unorthodox, challenging, theoretically sophisticated American-born literary critics of the 20th century. Raymond applies the pearl guitar fret markers to his fret board as shown. Each fret marker is in the shape of a parallelogram. Each of the 3 bottom fret markers has a base that measures 45.5 mm and a height of 8mm. What is the area of each of the bottom fret markers? help me i need help im in 6th grade! Maria flips a coin 20 times. The coin only lands on tails 9 times. According to theoreticalprobability how many more times would Maria have expected the coin to land on tails? I need this really quick!No Links Please Beth and Eric, two veterinary assistants, are discussing their duties. Beth says the vet assistance will take the animals respiration rate and draw blood during a physical exam. Eric says the vet assistance will take the animals temperature, heart rate, weight and respiration rate during a physical exam. Who is correct what is the coefficient of Q in the sum of (2/3q - 3/4) and (-1/6q - 2) please help me out Which of the following statements is true about Hofstede's cultural dimensions? a. It measures culture through two different criteria: Values and Practices b. In the third phase, it examined the interactions of culture and leadership in upper-level management positions c. Surveyed with over 116,000 IBM respondents from over 70 different countries d. Surveyed managers in financial services, food processing, and telecommunications industries 3.20 g of magnesium reacts with hydrochloric acid, generatinghydrogen gas according to the reaction below. The hydrogengas is collected over water.Mg(s) + 2HCl(aq) MgCl2(aq) + H2(8)If 2.97 L of hydrogen gas is collected at 760.0 mmHg and20C, what was the percent yield of the reaction? What is the lever arm between F and the pivot point? i need to greet myself in Thai. how do i say "hello, my name is Kenji, I like cats." ? On a hot day, a fan has a mark on the tip of one blade. The equation y=20cos(x) + 25 represents the height of the mark, y centimeters, above thetable x seconds after the fan is turned on. What is the height of the markabove the table when it is closest to the table? The volume ofa refrigerator, in cubic centimeters, is givenby the function V(x) = (x)(x + 1)(x 2). Write anew function for the volume of the refrigeratorin cubic millimeters if x is in centimeters. what is the authors likely purpose for including direct quotations from sigmund freud works throughout the article