A 80kg astronaut is training in human centrifuge to prepare for a launch. The astronaut uses the centrifuge to practice having a 3.16g force (3.16 times his own weight) on his back. The radius is 12m.
Attached is a picture of the question.

A 80kg Astronaut Is Training In Human Centrifuge To Prepare For A Launch. The Astronaut Uses The Centrifuge

Answers

Answer 1

The answers on the model of the human centrifuge ready for the launch to each question of the statement are listed below:

a) A force of 2479.210 newtons is acting on the astronaut's back.

b) A net centripetal force of 2479.210 newtons is acting on the astronaut.

c) The centripetal acceleration of the astronaut is 30.990 meters per square second.

d) The astronaut has a linear speed of approximately 19.284 meters per second.

e) The angular speed of the astronaut is 1.607 radians per second (15.346 revolutions per minute).

How to apply Newton's laws to analyze a process in a human centrifuge training

The human centrifuge experiments a centripetal acceleration when it reaches a peak angular speed. In this question we must apply Newton's laws of motion and concepts of centripete and centrifugal forces to answer the questions. Now we proceed to answer the questions:

How much force is acting on the astronaut's back?

By the third Newton's law the astronaut experiments a rection force (F), in newtons, which has the same magnitude to centrifugal force but opposed to that force. The magnitude of the force acting on the back of the astronaut is equal to:

[tex]F = 3.16\cdot (80\,kg)\cdot \left(9.807\,\frac{m}{s^{2}} \right)[/tex]

[tex]F = 2479.210\,N[/tex]

A force of 2479.210 newtons is acting on the astronaut's back. [tex]\blacksquare[/tex]

What is the net centripetal force on the astronaut?

By the second and third Newton's laws we know that the net centripetal force on the astronaut is equal to the magnitude of the force found in the previous question. Thus, a net centripetal force of 2479.210 newtons is acting on the astronaut. [tex]\blacksquare[/tex]

What is the astronaut's centripetal acceleration?

The centripetal acceleration of the astronaut (a), in meters per square second, is found by dividing the result of the previous question by the mass of the astronaut (m), in kilograms:

[tex]a = \frac{F}{m}[/tex]   (1)

If we know that F = 2479.210 newtons and m = 80 kilograms, then the centripetal acceleration of the astronaut is:

[tex]a = \frac{2479.210\,N}{80\,kg}[/tex]

[tex]a = 30.990\,\frac{m}{s^{2}}[/tex]

The centripetal acceleration of the astronaut is 30.990 meters per square second. [tex]\blacksquare[/tex]

What is the astronaut's linear speed?

By definition of uniform circular motion, we have the following formula for the linear velocity of the astronaut (v):

[tex]v = \sqrt{a\cdot r}[/tex]   (1)

Where r is the radius of the human centrifuge, in meters.

If we know that [tex]a = 30.990\,\frac{m}{s^{2}}[/tex] and [tex]r = 12\,m[/tex], then linear velocity of the astronaut is:

[tex]v = \sqrt{\left(30.990\,\frac{m}{s^{2}} \right)\cdot (12\,m)}[/tex]

v ≈ 19.284 m/s

The astronaut has a linear speed of approximately 19.284 meters per second. [tex]\blacksquare[/tex]

What is the astronaut's angular speed?

The angular speed of the astronaut (ω), in radians per second, is found by the following kinematic relationship:

[tex]\omega = \frac{v}{R}[/tex]   (1)

If we know that v ≈ 19.284 m/s and R = 12 m, then the angular speed is:

[tex]\omega = \frac{19.284\,\frac{m}{s} }{12\,m}[/tex]

ω = 1.607 rad/s (15.346 rev/m)

The angular speed of the astronaut is 1.607 radians per second (15.346 revolutions per minute). [tex]\blacksquare[/tex]

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Related Questions

What causes changes in the orbit of objects in the solar system.

Answers

Orbits may change due to the gravitational effects from, or collisions with, other objects in the solar system.

How you get a bucket of KFC past airport security?

Answers

Answer:

I am not sure in regards to other countries but USA let's anyone allow to take fried chicken.

Explanation:

Yes, the Transportation Security Administration (TSA) will allow you to bring fried chicken through airport security in your carry-on baggage. You can bring both homemade and takeout fried chicken through the TSA checkpoint. If the fried chicken isn’t already pre-packaged, it should be wrapped or placed in a resealable bag or container with a secure lid. There is no limit to the quantity of fried chicken you can bring in your carry-on: You can pack as much fried chicken as you’d like and will fit into your allowable hand luggage.

In the winter, monarch butterflies travel from the United States to Mexico, where the weather is warmer. They return to the United States in the spring.
-----------------------------------------------------------------------------
Which behavior does this scenario describe?

o Conditioning
o Hibernating
o Imprinting
o Migrating

Answers

The answer is D: Migrating

Answer: "Migrating", You're welcome

Select the correct answer.
Which of the following social events are often centered around sporting events?
A. Tailgate Parties
B. Parades
C. Pep Rallies
D. All of the above

Answers

D all of them is the answer. All three can be used to celebrate sporting events

a woman weighs 580 N . what is her mass?

Answers

Answer:

The mass of woman is 59.18 kg.Given data:Weight of women is, .An object on the surface has its weight such that it is determined by the force of gravity acting on the object. Mathematically, the weight of object is calculated by multiplying the gravitational acceleration with mass of object.Then,Here, m is the mass of woman and g is the gravitational acceleration.Solving as,Thus, the mass of woman is 59.18 kg.

Explanation:

59.18 kg

Hope this helps! :)

A car’s tire rotates 5.25 times in 3 seconds. What is the tangential velocity of the tire?

Answers

The tangential velocity of the car's tire is the product of the angular velocity and radius of the car's tire which is 11(r) m/s.

Angular velocity of the tire

The angular velocity of the tire is the rate of change of angular displacement of the tire with time.

The magnitude of the angular velocity of the tire is calculated as follows;

ω = 2πN

where;

N is the number of revolutions per second

ω = 2π x (5.25 / 3)

ω =  11 rad/s

Tangential velocity of the tire

The tangential velocity of the car's tire is the product of the angular velocity and radius of the car's tire.

The magnitude of the tangential velocity is caculated as follows;

v = ωr

where;

r is the radius of the car's tire

v = 11r m/s

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A piston in an automobile engine is in simple harmonic motion. Its amplitude of oscillation from the equilibrium (centered) position is ±6.83 cm and its mass is 2.708 kg.
Find the maximum velocity of the piston when the auto engine is running at the rate of 3590 rev/min.
Answer in units of m/s.

Answers

The maximum velocity of the piston when the auto engine is running at the given speed is 25.68 m/s.

Angular speed of the automobile

The angular speed of the automobile in radian per second is calculated as follows;

ω = 2πN

ω = 2π x (3590 /60 s)

ω = 375.94 rad/s

Maximum velocity

The maximum velocity of the piston is calculated using the following formula;

v(max) = Aω

v(max) = 0.0683 x 375.94

v(max) = 25.68 m/s

Thus, the maximum velocity of the piston when the auto engine is running at the given speed is 25.68 m/s.

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A magnifier allows one to look at a very near object by forming an image of it farther away. The object appears larger. To create a magnifier, one would use a.

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In order to create a magnifier in convex lens, you should choose a short focal length that is lesser than 1 meter.

What is a convex lens?

A convex lens is also referred to as converging lens and it can be defined as a type of lens that typically causes parallel rays of light with respect to its principal axis to come to a focus (converge) and form a real image.

In Science, a magnifier refer to an optical instrument that allow us to look at a very near object because its image is generally formed farther away. Thus, the image of the object appears to be much larger.

In this context, you should choose a short focal length that is lesser than 1 meter when you want to create a magnifier in convex lens because the nearer the object is to the lens, the larger would be the image formed.

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Circuit A has a voltage of 10 V, and circuit B has a voltage of 15 V Which statement about the circuits is correct? (1 point)
If the resistance in circuit A equals the resistance in circuit B, then the current in circuit A is greater than the
current in circuit B.
If the resistance in circuit A is greater than the resistance in circuit B, then the current in circuit A is greater
than the current in circuit B.
If the current in circuit A equals the current in circuit B, then the resistance in circuit A equals the resistance
in circuit B
If the current in circuit A is greater than the current in circuit B, then the resistance in circuit A is less than
the resistance in circuit B.

Answers

If the current in circuit A is greater than the current in circuit B, then the resistance in circuit A is less than the resistance in circuit B.

Ohms Law

Ohms law states that the volatge in a circuit is directly proportional to the current flowing in the circuit.

V = IR

Where;

V is voltageI is currentR is resistance

The given voltage in the circuits

Circuit A = 10 VCircuit B = 15 V

At equal resistance, the current flowing in circuit B will be greater than circuit A since circuit B has more voltage.

However, If the current in circuit A is greater than the current in circuit B, then the resistance in circuit A is less than the resistance in circuit B.

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An object is in simple harmonic motion of the following quantities related to the object, which set of three can have maximum

magnitudes at the same instant of time?

i. displacement

ii. velocity

iii. acceleration

iv. kinetic energy

v. potential energy

Answers

Answer:

displacement, acceleration, potential energy

Explanation:

pretty sure this is correct but dont hold me to it.

The set of three that can have maximum magnitudes at the same instant of time will be displacement, acceleration, and potential energy.

What is simple harmonic motion?

Simple harmonic motion is periodic motion caused by a restoring force that is proportionate to the deviation from equilibrium.

Simple harmonic motion is periodic motion but many other conditions are dependent.

The object is in simple harmonic motion of the following quantities related to the object.

The set of three that can have maximum magnitudes at the same instant of time will be displacement, acceleration, and potential energy.

Hence the set of three quantities is the options i, iii,v.

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What is the difference between gravity and acceleration?

Answers

Aceleration refers to motion but gravity refers to force



Acceleration is change of velocity with time while gravity is the force of attraction pulling objects. When this force pulls an object it tends to move with a certain type of acceleration called acceleration due to gravity. This is equal to 9.8 m / s^2 for earth

Acceleration is the rate of change in velocity. While g is the acceleration due to gravity. The pace at which a body's velocity varies is represented by acceleration, which is a vector quantity.

What is acceleration?

The rate of change of velocity with respect to time is known as acceleration. According to Newton's second law, the eventual effect of all forces applied to a body is its acceleration.

[tex]\rm a = \frac{v-u}{t}[/tex]

u is the initial speed

v is the final speed

t is the time interval

a is the acceleration of the ball

Gravitation is a natural law by which all things with all matter are attracted towards one another.

g is the acceleration due to gravity. whose value is equal to 9.81 m/sec².The value of the gravitational acceleration varies according to the height and the planet.

The value of the gravitational acceleration on the earth is 9.81 m/sec².While the value of g at the moon is 1.6333 m/sec².

Hence acceleration is the rate of change of velocity. While g is the acceleration due to gravity.

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Calculate the temperature for which the minimum escape energy is 15 times the average kinetic energy of an oxygen molecule. Answer in units of K.

Answers

The temperature for which the minimum escape energy is 15 times the average kinetic energy of an oxygen molecule is 10,684.4 K.

Conservation of energy

The temperature for which the minimum escape energy is 15 times the average kinetic energy of an oxygen molecule is determined by applying principle of conservation of energy as shown below;

E = K + U

E = K - GmM/R

0 = K - GmM/R

K = mgR

When the minimum escape energy is 15 times average kinetic energy;

15K = mgR

[tex]15 \times \frac{3}{2} kT = mgR[/tex]

where;

m is mass of oxygen per atom = (0.032 kg)/(6.02 x 10²³) = 5.316 x 10⁻²⁶ kg/atomg is acceleration due gravity = 9.8 m/s²R is radius of Earth = 6.371 x 10⁶ m.k is Boltzmanns’ constant =   1.38066 x 10⁻²³ J/K.

[tex]T = \frac{2mgR}{15 \times 3k} \\\\T = \frac{(2)(5.316 \times 10^{-26})(9.8)(6.371 \times 10^6)}{45(1.38066 \times 10^{-23})} \\\\T = 10,684.4 \ K[/tex]

Thus, the temperature for which the minimum escape energy is 15 times the average kinetic energy of an oxygen molecule is 10,684.4 K.

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A 0. 5 kg mass on a 1-m-long string swings in a circle on a horizontal, frictionless table at a steady speed of 2 m/s. How much work does the tension in the string do on the mass during one revolution?

Answers

The tension does no (zero) work

F· S = W

Since the tension is perpendicular to the direction of motion, and there is no change in S the work done is zero.

the north pole magnet is brought near a refrigerator door , and the magnet sticks. if the magnet is removed and the south pole is brought near the door instead, will it also stick explain​

Answers

Answer:

no

Explanation:

because if the north pole of the magnet is brought the the refrigerator and it sticks that means the refrigerator is the south pole. So if the south pole magnet is brought the the refrigerator that is also a south pole it would not stick because same poles repel and opposite poles attract.

Answer it or you are bad in physics

Answers

Answer:

1.water evaporates from the sea

2.water rises in warm air

3.water vapor is cooled and form clouds

4.clouds move and water falls on land as rain

5water travels along a rive to the sea

Explanation:

and that is how the water cycle works

A block of mass m is suspended from two identical springs of negligible mass, spring constant k, and unstretched length l

Answers

The equation that shows the relationship between X₁ and X₂ in the springs is X₁ = 4X₂.

How to compute the equation?

From the complete question, for case I, the two springs stretch up to the distance of X₁. Therefore, f = mg = kx₁.

For case 2, f = mg = kx₂.

Therefore, we'll equate the equations. This will be:

Kx₁ = Kx₂

(K/2)x₁ = (2k)x₂

K(x₁/2) = k(2x₂)

X₁/2 = 2x₂

X1 = 2 × 2x₂

X₁ = 4X₂.

In conclusion, X₁ = 4X₂.

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X₁ = 4X₂ is the equation that shows the connection between X₁ and X₂ in the springs.

What is spring force?

The force required to extend or compress a spring by some distance scales linearly with respect to that distance is known as the spring force. Its formula is

F = kx

For case 1;

f=mg=kx₁

For case 2;

f=mg=kx₂

After equating the equation we get;

[tex]\rm Kx_1 = Kx_2 \\\\ \frac{K}{2}x_1 = (2k)x_2 = k(2x_2) \\\\ \frac{x_1}{2} =2x_2\\\\ x_1 = 4x_2[/tex]

Hence  X₁ = 4X₂ is the equation that shows the connection between X₁ and X₂ in the springs.

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Does a photon emitted by a higher-wattage red light bulb have more energy than a photon emitted by a lower-wattage red bulb

Answers

Answer:

The energy of these two photons would be the same as long as their frequencies are the same (same color, assuming that the two bulbs emit at only one wavelength.)

Explanation:

The energy [tex]E[/tex] of a photon is proportional to its frequency [tex]f[/tex]. The constant of proportionality is Planck's Constant, [tex]h[/tex]. This proportionality is known as the Planck-Einstein Relation.

[tex]E = h\, f[/tex].

The color of a beam of visible light depends on the frequency of the light. Assume that the two bulbs in this question each emits light of only one frequency (rather than a mix of light of different frequencies and colors.) Let [tex]f_{1}[/tex] and [tex]f_{2}[/tex] denote the frequency of the light from each bulb.

If the color of the red light from the two bulbs is the same, those two bulbs must emit light at the same frequency: [tex]f_{1} = f_{2}[/tex].

Thus, by the Planck-Einstein Relation, the energy of a photon from each bulb would also be the same:

[tex]h\, f_{1} = h\, f_{2}[/tex].

Note that among these two bulbs, the brighter one appears brighter soley because it emits more photons per unit area in unit time. While the energy of each photon stays the same, the bulb releases more energy by emitting more of these photons.

What is the difference between a moon and a planet.

Answers

Answer:

A planet revolves around the Sun and a moon orbits a planet. Technically, the moon also orbits the Sun as it spins around its planet, but because it has its own sub-orbit of a planet scientists define it as a moon. All planets in our solar system, except for Mercury and Venus, have moons. Earth has one moon, Mars has two, Neptune has thirteen, Uranus has twenty-seven, Jupiter has sixty-six, and Saturn has sixty-two. Pluto, now classified as a dwarf planet, has five moons.

Question 3
The FRC robot is rushing to pick up a game ball to shoot. The robot
is at rest and then it travels 30m in 1.96s. What is the robot's
acceleration in this time?

Answers

Answer:

15.61 m/s^2

Explanation:

From 3 rd equation of motion

s=ut+1/2at^2

given s = 30

u= 0 ( as body was at rest)

t= 1.96s

30=0*1.96+1/2a(1.96)^2

30=0+1/2a(1.96)^2

a=2*30÷(1.96)^2

a= 15.61 m/s^2 (approx)

The velocity of a car increases by 40 m/s in 80 seconds. What is the
acceleration of the car?
A. 40 m/s2
B. 0.5 m/s2
C. 120 m/s2
D. 0.25 m/s2

Answers

Answer:

B

Explanation:

a=v/t

a=(40m/s)÷(80s)

a=0.5m/s

When do humans store fat molecules in their bodies? (1 pt. ) *

1. Humans store fat molecules every time they eat anything that contains Calories.

2. Humans store fat molecules when they eat food with a lot of fat.

3. Humans store fat molecules when they eat junk food.

4. Humans store fat molecules when they eat more Calories than they need.

Answers

Answer- 2. Humans store fat molecules when they eat food with a lot of fat.

Which trait shared by dolphins and bats possibly lead to the evolution of echolocation in these two animal groups? the need to move quickly through dark environments the need to be able to send sound waves through the air the need to be able to send sound waves through the water the need to communicate with other species through echolocation.

Answers

A trait shared by dolphins and bats  will be the need to move quickly through dark environments.

What is the evolution of echolocation?

Our understanding of the evolution of echolocation in bats has shifted as a result of recent molecular phylogenies. These phylogenies imply that bats with advanced echolocation

According to one interpretation of these trees, laryngeal echolocation originated in the ancestor of all living bats. Echolocation may have been lost in Old World fruit bats

The vast adaptive radiation in echolocation call design is substantially controlled by ecology, demonstrating how environmental perceptual problems influence call design.

A trait shared by dolphins and bats that possibly led to the evolution of echolocation in these two animal groups will be the need to move quickly through dark environments.

Hence option A is correct.

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Answer:

D

Explanation:

In what type of system is mechanical energy lost to its surroundings?

A. internal

B. external

C. closed

D. open

Answers

Answer:

open

Explanation:

in open system mechanical energy is lost to its surroundings

state two factors that affect the type of Shadows formed ​

Answers

Answer:

The two factors that affect the type of Shadows formed are stated below ::

The distance between the source of land and the object. The angel where the ray of light falls on the object.

Answer:

The distance of the source of light from the object.

The angle at which the light rays fall on the object.

The size of the opaque object.

The size of the shadow depends on the distance of the source of light and on the angle at which the light rays fall on the object.

If the source of light is closer to the object, a larger shadow is formed than when the source of light is far from the object.

Explanation:

picture is in the top ️️️⬆️⬆️⬆️⬆️⬆️

It can be observed from the above figure that as the angle of light incident on the object changed the length of the shadow changed.

Hope you like this

What are the nicknames for the planets in our solar system?

Answers

Answer:

History of the 9 Planets in our solar system The ancient Greeks came across seven lights in the sky that moved against the background pattern of stars: the sun, the moon, Mercury, Venus , Mars, Jupiter, and Saturn. then they decided to name them Planetes, or Wanderers.

Explanation:

A planet is a celestial body. The nickname for the earth is "blue planet".

What is a planet?

A celestial body is differentiated from the fixed stars by its apparent mobility (including the moon and sun), especially in relation to its claimed impact on people and events.

The nicknames for the planets in our solar system are:

Swift Planet for Mercury, Morning Star and Evening Star for Venus, Blue Planet for Earth, Red Planet for Mars, Giant Planet for Jupiter, Ringed Planet for Saturn, Ice Giant for Uranus,Big Blue Planet for Neptune.

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What is another name for coal, natural gas, and oil? (two words)

Answers

The answer is fossil fuel

its formed from the remains of ancient plants and animal

Hope it helps!

The answer is fossil fuel

Find fff, the magnitude of the force applied to each side of the nutcracker required to crack the nut

Answers

Force is a vector, as such we know that the force required to crack a nut is the resultant of the individual forces applied form all sides of the nut.

What is force?

The term force is used to describe that which causes a change in the position of an object. Now the question is incomplete but I will try to help you the much I can.

Recall that force is a vector quantity. Hence the magnitude of the force required to crack a nut is the resultant of the individual forces applied form all sides of the nut.

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If c is a positive real number and ak=klnc, for what values of c, if any, does the infinite series ∑k=1[infinity]ak converge?

Answers

There is no value of c such that the infinite series converges.

How to analyze the converge of an infinite series

Convergence is a characteristic of infinite series, in which a sum tends to be a given number when n tends to +∞.

In this question we must prove for which values of c the infinite series may converge.

There are different criteria to prove whether a given series converges or not, one of the most used criteria is the ratio criterion, which states that:

[tex]r = \frac{a_{k+1}}{a_{k}}[/tex], where the series converges if and only if r > 1. (1)

If we know that [tex]a_{k} = k\cdot \ln c[/tex], then the rational formula is:

[tex]r = \frac{(k+1)\cdot \ln c}{k\cdot \ln c}[/tex]

[tex]r = 1 + \frac{1}{k}[/tex]

We notice that resulting expression does not depend on c and is greater than 1. Therefore, there is no value of c such that the infinite series converges. [tex]\blacksquare[/tex]

Remark

If [tex]c[/tex] is a positive real number and [tex]a_{k} = k\cdot \ln c[/tex], for what values of [tex]c[/tex], if any, does the infinite series [tex]\sum_{k=1}^{\infty} a_{k}[/tex] converge?

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There is no values of c, for  the infinite series ∑k=1[infinity]ak to be converge when c is a positive real number.

What do you mean by infinite series?

The infinite series is the sum of addition of a sequence in which the number of terms present are infinite.

[tex]a_1+a_2+a_3....+a_n[/tex]

Here, ([tex]a_n[/tex]) is the nth term of the sequence. For infinite series, the ratio criterion can be given as,

[tex]r=\dfrac{a_{k+1}}{a_k}[/tex]

If c is a positive real number and

[tex]a_k=k\ln c[/tex]

Put the value in above shown ratio,

[tex]r=\dfrac{(k+1)\ln c}{k\ln c}\\r=\dfrac{k\ln c}{k\ln c}+\dfrac{\ln c}{k\ln c}\\r=1+\dfrac{1}{k}[/tex]

With the value of r, we can say whether the series is converge or not. This value of r does not depends on c.

Thus,  there is no values of c, for  the infinite series ∑k=1[infinity]ak to be converge when c is a positive real number.

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Who discovered the basic laws of planetary orbits?.

Answers

Answer:

kepler

Explanation:

While Copernicus rightly observed that the planets revolve around the Sun, it was Kepler who correctly defined their orbits. At the age of 27, Kepler became the assistant of a wealthy astronomer, Tycho Brahe, who asked him to define the orbital mars

What type of gas absorbs and re-emits infrared radiation?.

Answers

Answer:

Carbon Dioxide absorbs and re-emits the infrared radiation.

Other Questions
Identify the equations that show ionization. check all that apply. upper n a upper c l (s) right arrow upper n a superscript plus (a q) plus upper c l superscript minus (a q). upper h upper c l (g) plus upper h subscript 2 upper o (l) right arrow upper c subscript 3 upper o superscript plus (a q) plus upper c l superscript minus (a q). upper o subscript 2 (g) right arrow upper o subscript 2 (a q). upper c upper o subscript 2 (g) plus 2 upper h subscript 2 upper o (l) right arrow upper h upper c upper o subscript 3 superscript minus (a q) plus upper h subscript 3 upper o superscript plus (a q). upper c a upper c l subscript 2 (s) right arrow upper c a superscript 2 plus (a q) plus 2 upper c l superscript minus (a q). What color should appear when a properly cleaned nichrome wire is introduced into the flame?. For the reaction shown, find the limiting reactant for each of the initial quantities of reactants 4Cr + 3o2 -> 2Cr2O3 d)14.8 mol Cr; 10.3 mol O2 How can globalization negatively affect american farmers health Is it..where are you trying to work at or where you trying to work at? * when asking someone * Most organisms cannot live in temperatures:below 50Cabove 0Cabove 50C America is commonly viewed as a model for which of the following by other nations?A. ReligionB. FreedomC. Power What is the coefficient for the 5th term of (2x-y)^8 Ten tubs of dried cranberries cost $40 how many runs can u buy for $20 Help help help ASAP help 12.44 = 4x what does x = Help? im confused plss!Find the area of the regular polygon with the given radius or apothem. I really need help will give 20 points and brainliest _____ contain similar genes but often different alleles. After DNA replication, ______ contain identical alleles combinations. What is density? (1 point) the amount of space occupied by a substance or body O the quantity of matter contained in a substance or body o the amount of heat contained in a body o the degree of compactness of a substance LAYSTOPSolve using the Zero Product Property.15. The height of a football after it has been kicked from the top of a hill can be modeledby the equation h= 2(-2-4t) (2t - 5), where h is the height of the football in feetand tiltihe time in seconds. How long is the football in the air?AA. t=2.5 secondsB.B. t=-0.5 secondsC. t=1.5 seconds How many times larger is 8 x 106 than 2 x 103? Help picture below problem 12 Find the simple interest on the loan of $2500 for 2 years at 5%.$(Simplify your answer. Round to the nearest cent as needed.) Please help!!!Mr. Johnson's class will study one sea animal for the next week. Which group should Mr. Johnson survey to find the type of sea animal his students should study?A: His studentsB: Teachers at his schoolC: Parents of his studentsD: Workers at a sea animal park