After 9 years, the account balance would be $528.28. The result is obtained by adding the amount of interest to the initial deposit.
How to count the simple interest?The simple interest of an amount of money can be counted by the following formula.
I = P × r × t
I = A - P
Where
I = simple interestP = principal amount (initial balance)r = simple interest ratet = time periodA = final balanceA savings account has the initial deposit of $425.00. It earns 2.7% simple interest per year. Find the final account balance after 9 years!
The amount of interest itself is
I = P × r × t
I = $425.00 × 2.7% per year × 9 years
I = $425.00 × 0.027 × 9
I = $103.28
The account balance after 9 years would be
I = A - P
$103.28 = A - $425.00
A = $425.00 + $103.28
A = $528.28
Hence, the final account balance after 9 years is $528.28.
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Two bumpers cars are headed for a collision at Rue Le Dodge on a Great America physics field trip. One bumper car has a mass of 46.3 kg heading to the right at 5.24 m/s, while the other has a mass of 55.4 kg headed in the opposite direction (to the left) at a speed of 1.79 m/s. If the two bumper cars collide, what will be the total momentum of both cars after the collision? Round your answer to two decimals.
The total momentum after collision is 143.466 kgm/s.
What is momentum of a body?
The momentum of a body is the product of the mass and the velocity of the body.
Momentum = mass * velocityAssuming the right direction as positive and left direction as negative:
Total Momentum before collision = Total Momentum after collisionMomentum to the right = 46.3 * 5.24 = +242.612 kgm/s
Momentum to the left = 55.4 * -1.79 = -99.166 kgm/s
Total momentum before collision = +242.612 kgm/s - 99.166 kgm/s
Total momentum before collision = 143.466 kgm/s
Thus, total momentum after collision is 143.466 kgm/s.
In conclusion, momentum is conserved in an isolated system of colliding bodies.
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a skier’s most important piece of equipment
Answer: A skier’s most important piece of equipment is Ski boots.
Explanation: To find the answer, we need to know about the ski boots.
Why ski boots are the most important equipment for a skier?Skiing can be defined as the action of travelling over snow on skis.There are different equipment's we use during skiing, among them, the most important equipment's is ski boot.Ski boots are not meant for walking, but they provide the skis an extension for their legs.The other equipment's are ski goggles, ski helmets, ski jackets and so on.Thus, we can conclude that, a skier's most important equipment is Ski boots.
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Ski boots are a skier's most essential piece of gear.
We must understand the ski boots in order to determine the solution.
Why are ski boots the most crucial piece of gear for a skier?Skiing is the activity of moving over snow on a pair of skis.While we utilize a variety of equipment when skiing, the ski boot is by far the most crucial piece of gear.Although ski boots are not designed for walking, they provide the skis an extra leg.The other equipment includes ski coats, ski helmets, and ski goggles.So, it stands to reason that ski boots are a skier's most essential piece of gear.
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Some tornadoes have central downdrafts that accompany the massive rotating updrafts.
a. True
b. False
Some Tornadoes have central downdrafts that accompany the massive rotating updrafts. True
Mid-altitude winds come into the storm from the rear (or on the west or southwest side). As this dry, cool air enters the system, rain evaporates, cooling it even more. The cooling air becomes cooler than the surrounding air, sinks, and forms a strong downdraft.
Updrafts characterize a storm's early development, during which warm air rises to the level where condensation starts and precipitation starts to expand. In a mature storm, updrafts are present alongside downdrafts caused by cooling and falling precipitation.
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Barry slides across an icy pond. The coefficient of kinetic friction between his
shoes and the ice is 0.15. If his mass is 83 kg, what is the force of friction
acting on him?
OA. 813 N
B. 1150 N
C. 122 N
D. 352 N
The force of friction acting on him is 122 N. The correct answer is option C
What is Friction ?Friction is a force that opposes the motion of a static or a moving object.
Given that Barry slides across an icy pond. The coefficient of kinetic friction between his shoes and the ice is 0.15. If his mass is 83 kg
The given parameters are;
Mass m = 83 kgCoefficient of kinetic friction μ = 0.15Frictional force [tex]F_{r}[/tex] = ?The normal reaction N on the body = mg
N = 83 x 9.8
N = 813.4 N
The Frictional force formula is [tex]F_{r}[/tex] = μN
[tex]F_{r}[/tex] = 0.15 x 813.4
[tex]F_{r}[/tex] = 122.01 N
Therefore, the force of friction acting on him is 122 N approximately.
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Clouds lose their __________ when the surrounding air temperature equals the rising air temperature.
Clouds lose their stability when the surrounding air temperature equals the rising air temperature.
When vapor condenses and produces the billowing columns, the ascending air, which is still warmer than the nearby air, rises. occurs when radiation even during night cools the Earth's surface as well as the air around.
As a result, the air parcel can increase until all of the latent heat has already been released as well as the "surplus" water vapor has condensed. Hence, the fundamental factor that prevents clouds from rising is the cessation of the production of heat transfer through condensation.
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Two hockey pucks with mass 0.1 kg slide across the ice and collide. Before
the collision, puck 1 is going 15 m/s to the east and puck 2 is going 12 m/s to
the west. After the collision, puck 2 is going 15 m/s to the east. What is the
velocity of puck 1?
A. 12 m/s west
B. 15 m/s east
C. 15 m/s west
D. 12 m/s east
The velocity of pluck 1 is 12 m/s west.
What is the conservation of momentum?The principle of the conservation of the linear momentum states that momentum before collision is equal to momentum after collision.
Now given that;
m1u1 + m2u2 = m1v1 + m2v2
(0.1 * 15) - (0.1 * 12) = 0.1* v + (0.1 * 15)
1.5 - 1.2 = 0.1v + 1.5
0.3 - 1.5 = 0.1v
v = -1.2/0.1
v = - 12 m/s
Hence, the velocity of pluck 1 is 12 m/s west.
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An energy storage system based on a flywheel (a rotating disk) can store a maximum of 3.7 MJ when the flywheel is rotating at 16000 revolutions per minute.
The moment of inertia of the flywheel is 2.63 kg-[tex]m^{2}[/tex]
It is given that,
The maximum energy stored on the flywheel is given as
E=3.7MJ= 3.7×[tex]10^{6}[/tex] J
Angular velocity of the flywheel is 16000[tex]\frac{rev}{min}[/tex] = 1675.51[tex]\frac{rad}{sec}[/tex]
So to find the moment of inertia of the flywheel. The energy of a flywheel in rotational kinematics is given by :
E = [tex]\frac{1}{2}[/tex][tex]Iw^{2}[/tex]
By rearranging the equation:
I = [tex]\frac{2E}{w_{2} }[/tex]
I = 2.63 kg-[tex]m^{2}[/tex]
Thus the moment of inertia of the flywheel is 2.63 kg-[tex]m^{2}[/tex].
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The reason the jovian planets lost very little of their original atmosphere is due to their?
The reason for which the jovian planets lost very little of their original atmosphere is due to their large mass.
What are the jovian planets?The jovian planets are celestial bodies formed by gaseous huge masses of dust instead of rock planes such as, among others, the Earth planet.
These types of planets (jovian planets) include four major celestial bodies, i.e., Jupiter, Saturn, Uranus, and Neptune.
The jovian planets are characterized to have a thick atmosphere that is composed of different elements such as hydrogen, and methane.
In conclusion, the reason for which the jovian planets lost very little of their original atmosphere is due to their large mass.
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Analog signals from sensors are changed to digital signals for processing by the computer through which type of circuit?
Analog signals from sensors are changed to digital signals for processing by the computer through analog to digital converter circuit.
What is a Circuit?This is referred to as a path in which electric current flows and comprises of components such as resistor, capacitor etc.On the other hand, analog to digital converter circuit is responsible for the conversion of the analog signals to digital or binary forms and is read through the use of a microcontroller.
The digital signal is what is in vogue as of today due to its synergy with modern electric devices which are common in today's world which explains the need for the conversion to this type of signal.
This is therefore the reason why analog to digital converter circuit was chosen as the most appropriate choice in this type of scenario.
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A force of 50 n is used to push a wheelchair forward at constant velocity. if the wheelchair is displaced 0.5 m each second, what is the mechanical power expended when transporting the wheelchair?
The mechanical power expended when transporting the wheelchair is 25 Watts
What is power?Power is defined as the amount of energy transferred or converted per unit time. The unit of power is measured in Watts. The higher units are kilowatts, megawatts etc.
The formula for calculating the power expended is expressed as:
Power = Workdone/Time
Since workdone = force * distance, the formula for power will be:
Power = Force*distance/Time
Given the following parameters
Force = 50N
distance = 0.5m
time = 1 second
Substitute to determine the power
Power = 50*0.5/1
Power = 25/1
Power = 25Watts
Hence the mechanical power expended when transporting the wheelchair is 25 Watts
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What is the energy of a photon of ultraviolet radiation with a frequency of 4.4 × 1015 hz? planck’s constant is 6.63 × 10–34 j • s. 2.9 × 10–18 j 2.9 × 10–34 j 2.9 × 10–48 j
The energy of a photon of ultraviolet radiation is E = 2.91 * 10^-18 J
What is a photon?
A photon is a particle of light defined as a discrete bundle (or quantum) of electromagnetic energy.
The energy of a photon is obtained by multiplying Planck's constant by the frequency of electromagnetic radiation:
E = h * f
where,
h is Planck's constant
h= 6.63×10⁻³⁴ Js
f= 4.4×10^15 Hz
Substituting the values in the equation for Energy:
E = (6.63×10⁻³⁴) * ( 4.4×10^15)
E = 2.91 * 10^-18 J
Hence,
The energy of a photon of ultraviolet radiation is E = 2.91 * 10^-18 J
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Answer: the first choice!
Explanation: did it the question on edg!:)
Using the criteria you described in your previous answer, how would you compare solar power to fossil fuel power?
Solar power differ to fossil fuel power in that solar power is a much more optimal resource than fossil fuels
Solar power; however provides much more energy than fossil fuel powerInterestingly too, solar power resource can be used without releasing greenhouse gases compared to fossil fuels powerInfact, solar energy is the most reliable What is renewable energy?Renewable energy simply refers to energy that is not depleted when used. An example of such is solar power.
So therefore, solar power differ to fossil fuel power in that solar power is a much more optimal resource than fossil fuels
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Because white dwarfs are small, as their name implies, they are hard to see. What is a way astronomers have to find white dwarfs that distinguishes them from main sequence stars
Astronomers find white dwarfs that distinguish them from main sequence stars because white dwarfs get really hot, we can search for their ultraviolet radiation.
What is a white dwarf?A white dwarf is a very hot star that radiated much energy in the form of ultraviolet radiation.
This UV radiation is initially very bright and then these stars become red with time.
In conclusion, Astronomers find white dwarfs they can search for their ultraviolet radiation.
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Which kinetic chain checkpoint should be observed carefully because it controls the movement of the lower extremities? The hip The knee The shoulder The head and neck
The hip is the kinetic chain checkpoint which controls the movement of the lower extremities and is denoted as option A.
What is Hip?
This part of the body has a ball-and-socket joint and ensures adequate movement of the legs.
The legs and other parts such as ankle etc are referred to as the lower extremities thereby making it the most appropriate choice.
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Which type of graph could be easily converted into a pie chart?
A. Variable plot
B. Scatter plot
C. Bar graph
D. Line graph
Answer:
D.Linegraph
Explanation:
Linegraph could be easily converted into a pie chart
Answer:
bar graph
Explanation:
What are the different mechanisms for transferring energy to or from a control volume?
The different mechanisms for transferring energy to or from a control volume is heat , work and mass .
According to the question
Definition of energy :
The basic definition of energy is capacity to do work.
Types of energy :
The energy can be of various types which can be- heat energy, internal energy, electrical energy, chemical energy and nuclear energy.
The transformation of energy :
The transformation of energy is the conversion mechanism of energy from one form to another. During the transformation process, some portion of the energy is converted into the useless form known as dissipation of energy .
The different mechanisms which transfer energy to or from control volume are:
1, heat
2 .work
3. mass.
Hence, the different mechanisms for transferring energy to or from a control volume is heat , work and mass .
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Dr. Albert gets a spark from the static in the door knob. He is not hurt. However, the electric _____ is high.
Dr. Albert gets a spark from the static in the door knob. He is not hurt. However, the electric current is high.
What is the static spark?
Sparks that are considered "static" have a massive momentary current and power (momentary like less than a millionth of a second.) However, the overall wattage of these sparks is exceedingly low. It's really too little to harm your muscles with heat (or even any warming a thermometer could detect.)
Negative and positive charges in an object must balance out for static electricity to occur. These charges may accumulate on an object's surface until they can be released or discharged. They can be discharged via a circuit, for example.
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Five stars are shown on the following H-R diagrams. Rank the stars based on their surface temperature from highest to lowest. If two (or more) stars have the same surface temperature, drag one star on top of the other(s).
All five stars appear at the same place along the horizontal axis showing spectral type.
Because spectral type is related to surface temperature, all five stars must have the same surface temperature.
Now proceed to Part C to determine how these stars vary in luminosity.
What is a Star?This refers to the heavenly body that is a natural luminous body that is visible in the sky, especially at night
Hence, we can see that based on the ranking of stars, the surface temperature of each star is taken into account, and based on their spectral type, the stars all have the same temperature.
Therefore, to show the difference between the stars, their luminous intensity needs to be analyzed,
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A relief plane flying horizontally at 65.0 m/s is delivering a
food package to people stranded on an island. If the
island is a horizontal distance of 789 m away,
how high is the plane?
(Unit = m)
22000
Ay (m)
mily
The height of the plane delivering a food package to people stranded on an island is 722.2 m.
Time of motion of the food package
The time taken for the food package to hit the ground level is calculated as follows;
X = vt
where;
X is horizontal distance traveled by the food packagev is horizontal distancet is time of motiont = X/v
t = 789/65
t = 12.14 seconds
Height of the planeh = ¹/₂gt²
where;
h is height of fall of the food package which is height of the planet is time of motion of food packageg is acceleration due to gravityh = (0.5)(9.8)(12.14²)
h = 722.2 m
Thus, the height of the plane delivering a food package to people stranded on an island is 722.2 m.
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Answer:
722.2
Explanation:
Edwin hubble was able to show that (with the exception of our nearest neighbors) the farther a galaxy is from us, the?
Edwin hubble was able to show that (with the exception of our nearest neighbors) the farther a galaxy is from us, the faster it is moving away from us.
Hubble ultimately demonstrated that, contrary to the widely accepted belief that the universe is static, galaxies are actually moving away from us. Hubble noticed that the light appeared to be shifted toward the red end of the spectrum by observing the light coming from distinct galaxies.
Hubble made the amazing discovery that a galaxy's redshift exactly correlated with its distance from the earth. That implied that objects farther from Earth were dispersing more quickly. To put it another way, the cosmos must be growing. In 1929, he made his discovery public.
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Even though the Sun gets lower in the sky after solar noon, and the intensity of incident solar radiation is reduced, the air temperature continues to climb after solar noon because
Even though the Sun gets lower in the sky after solar noon, and the intensity of incident solar radiation is reduced, the air temperature continues to climb after solar noon because energy is still being absorbed by the ground faster than it is being lost
Solar radiation is a broad word for the electromagnetic radiation that the sun emits. It is also sometimes referred to as the solar resource or just sunshine. A multitude of devices can be used to catch solar radiation and transform it into useful forms of energy, such as heat and electricity.
The energy that the Sun emits into space in the form of electromagnetic waves is known as solar radiation. This energy, which is released by the Sun's surface, affects climatological and atmospheric processes. Visible light, ultraviolet light, infrared, radio waves, X-rays, and gamma rays are all types of solar radiation.
Cardiovascular disease can be caused by radiation by altering the cardiovascular system, harming the heart, hardening and narrowing arteries, and/or removing part of the cells from the blood vessel linings.
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A microwave is a(n) _____ that is directed from one microwave station tower to another
The high-frequency radio signal is the answer.
Radiofrequency (RF) radios are in the wavelength band of 100 to 10 meters and extend from 3 MHz to 30 MHz. Much of the HF bandwidth is allocated to mobile and fixed voice communications services that require transmission bandwidth of less than 12 kHz. International (Shortwave) Broadcast
Radio Frequency (HF) is an ITU term for the range of high-frequency electromagnetic waves (radio waves) from 3 to 30 MHz (MHz). It is also known as the decameter band or decameter wave because it has wavelengths in the range of 1 to 10 decameter (tens to hundreds of meters).
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Modern methods of massively parallel sequencing include devices for detecting fluorescence or visible light as each:
Modern methods of massively parallel sequencing include devices for detecting fluorescence or visible light as each nucleotide is incorporated during synthesis.
Each nucleotide is marked with fluorescent dye, and a some traces of fluorescent intensities helps identify sequences.
What is nucleotide?
Nucleotides are organic compounds made up of a phosphate and a nucleoside.They function as monomeric units of the key macromolecules found in all living forms on Earth, deoxyribonucleic acid (DNA), and ribonucleic acid (RNA), which are both nucleic acid polymers. In addition to being produced by the liver from common nutrients, nucleotides can also be received through diet. A nucleobase, a five-carbon sugar (ribose or deoxyribose), and a phosphate group made up of one to three phosphates are the three component molecules that make up a nucleotide. Guanine, adenine, cytosine, and thymine are the four nucleobases found in DNA; uracil is used in place of thymine in RNA.On a fundamental, biological level, nucleotides are also essential to metabolism. They supply chemical energy throughout the cell in the form of the nucleoside triphosphates adenosine triphosphate (ATP), guanosine triphosphate (GTP), cytidine triphosphate (CTP), and uridine triphosphate (UTP).These are necessary for the synthesis of amino acids, proteins, and cell membranes as well as for moving the cell and its components (both internally and between cells), cell division, and other cellular processes.Nucleotides are also key cofactors in enzyme activities and take role in cell signaling (cyclic guanosine monophosphate, or cGMP, and cyclic adenosine monophosphate, or cAMP).Know more about nucleotide https://brainly.com/question/13185536
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A block is thrown with an initial velocity of 30.0 m/s at an angle of 25.0o above the horizontal. What is the highest elevation reached by the ball in its trajectory in meter
The highest elevation reached by the ball in its trajectory is 16.4 m.
To find the answer, we need to know about the maximum height reached in a projectile.
What's the mathematical expression of the maximum height reached in a projectile motion?
The maximum height= U²× sin²(θ)/gU= initial velocity, θ= angle of projectile with horizontal and g= acceleration due to gravityWhat's the maximum height reached by a block that is thrown with an initial velocity of 30.0 m/s at an angle of 25° above the horizontal?
Here, U = 30.0 m/s and θ= 25°Maximum height= 30²× sin²(25)/9.8= 16.4m
Thus, we can conclude that the highest elevation reached by the ball in its trajectory is 16.4 m.
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One similarity in the spectra of T dwarf stars and giant planets in our solar system is that their spectra show:
One similarity in the spectra of T dwarf stars and giant planets in our solar system is that their spectra show: "Indications of methane"
What is solar system?The solar system is made up of planets, moon, asteroids, comets, dust, and gas that revolve around the sun, which is our nearest star.
It consists of the giant planets Jupiter and Saturn, the ice giant Uranus and Neptune, and the rocky core planets Mercury, Venus, Earth, and Mars.
Some key points of solar system are-
The solar nebula, a massive cloud of gas and dust, began to collapse in on itself some some 4.6 billion years ago, forming the solar system's star and planets. Scientists have used meteorites, or bits of space rock which have fallen on Earth, to determine the age of the universe. Some of these tiny fragments, which have fallen off of planets or moons, can provide intriguing scientific data regarding the makeup and past of their parent body. Since the beginning of the solar system, before the planet even existed, others have been orbiting the sun. The oldest meteorite is 4.55 billion years old and came to Earth in the Allende meteor, which was dispersed over Mexico in 1969.To know more about Our Solar System, here
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how do you use atomic models
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When you lift a book from the ground to your desk, what kind of work do you do, negative or positive
When you lift the book, you are doing positive work
Because the force you apply to the book is in the same direction as its displacement, lifting it is considered positive work. Inverse work is being done by gravity. The gravitational potential energy of the object increases as you elevate the book.
What is Work ?The product of an object's displacement and the component of the applied force that is directed in the direction of the object's displacement is known as the work done by a force.
Positive Work: When a force is applied to an object in its direction of motion, it is said to have been performed positively.Negative Work Done: When a force is applied to an object in the wrong direction, the work is said to be negative.Learn more about Work here:
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Patient is in the ed due to a football hitting his nose when playing tackle football in the park. X-ray shows a displaced nasal fracture. What icd-10-cm codes are reported?
ICD-10-CM codes are -S02.2XXA, W21.01XA, Y93.61, Y92.830
S02.2 for Fracture, Traumatic/Nasal (Bone(s)), ICD-10-CM Alphabetic Index. Both the open fracture code and the dislocation code are not reported. Only the fracture code is provided if a fracture and a dislocation happen at the same place. Search for "dislocation/with fracture" in the alphabetical index to be sent to a doctor. A closed fracture is a fracture with displacement. To report the conditions leading up to the injury, external cause codes are utilized. Look for Struck (accidentally) by/ball (struck) (thrown)/football W21.01 in the ICD-10-CM External Cause of Injuries Index. Seven characters are required in the Tabular List to finish the code. For the first encounter, X is utilized as a stand-in for character number six, and character number seven is given the letter A.
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A car drives 17.9 m/s east. It
accelerates at 2.88 m/s² at a
137.7° angle. How long does it
take until the car is driving directly
north?
The time taken for the car to drive directly north is 8.52 seconds.
Time of motion of the car
v = u + at
At 137.7° anglev = u + a cosθ(t)
v = 17.9 + 2.88cos(137.7)t
v = 17.9 - 2.1t
when the car is directly north, v = 0
0 = 17.9 - 2.1t
2.1t = 17.9
t = 17.9/2.1
t = 8.52 seconds
Thus, the time taken for the car to drive directly north is 8.52 seconds.
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The volume of gas in a flexible container at a depth of 10 m/33 ft will expand to ______ its original volume if taken to the surface. Select one: Twice. Three times. Four times. None of the above.
The volume of gas in a flexible container at a depth of 10 m/33 ft will expand to double its original volume if taken to the surface.
What is volume:
The amount of space that a substance or object occupies.
Volume is denoted with letter V
What is a gas molecule?Generally, a gas molecule is simply defined as a combination of numbers of atoms that are connected one to another.
here, 10 m/33 feet of sea water is taken to exerts a gauge pressure that is the same pressure as the atmosphere.
This means that we add one atmosphere/bar pressure for every 10 m/33 feet you descend.
The effect of this is that,
at 10 m/33 ft absolute pressure is two ata/bar
Adding another 10 m/33 ft to this depth to make it 20 m/66 ft, puts you under under three ata/bar of pressure and so on.
Descending to a depth it means that you have double the ata/bar pressure acting on you. If you decide to resurface, the pressure on the flexible container will reduce by a factor of two.
Since volume is inversely proportional to the pressure,
If the pressure reduces by a factor of 2, then the volume will increase by a factor of two.
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