The most adaptable type of turbo machinery available today is the gas turbine. It can be employed in a variety of ways in crucial sectors like aviation, oil and gas, process facilities, power generation, and smaller allied industries.
How long do power outages often last ?Typically, outages last about 1-2 hours. Recall that all outage start times are approximations. They are intended to be suggestions rather than set schedules. You may aid in averting outages. The three most frequent causes are overload, human mistake, and natural causes. A halt or failure in the flow of power, particularly electricity. A two-hour blackout on the East Coast during which power is lost. A halt in a machine or mechanism's operation brought on by a problem with the electrical or power source.
Basically, any disruption between the production of electricity and its delivery to houses might result in a power outage. It can be caused by bad weather, human error, defective equipment, and even animal involvement.
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The average density of a planet is 1.52 g/cm3. what is its density in kg/m3? (enter your answer in scientific notation.)
Density is equal to the mass of substance divided by its volume.
What is density?Thickness is the substance's mass per unit of volume. The image most frequently utilized for thickness is ρ (the lower-case Greek letter rho), albeit the Latin letter D can likewise be utilized. Numerically, thickness is characterized as mass separated by volume: ρ=m/V where ρ is the thickness, m is the mass, and V is the volume. Now and again (for example, in the US oil and gas industry), thickness is approximately characterized as its weight per unit volume, albeit this is experimentally wrong this amount is all the more explicitly called explicit weight.
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Particle dislodgement in the filtration process is generally undesirable, except during?
Particle dislodgement in the filtration process is generally undesirable, except during high pressure jets of water applied to filter media during a backwash.
Define filtration process.Filtration is a physical separation procedure that uses a filter medium with a complicated structure that only allows fluid to pass through it to separate solid particles and liquid from a combination. Filtrate is the term for the liquid that passes through the filter medium and is used to describe solid particles that are too large to pass. Larger-than-average particles have the potential to blind the filter by blocking the filter lattice and forming a filter cake on top of the filter. The term "effective pore size" refers to the size of the biggest particles that may successfully pass through a filter.
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What is the magnitude of a point charge in coulombs whose electric field 51 cm away has the magnitude 2.5 n/c?
The magnitude of a point charge is 0.189 x 10⁻⁹C.
Steps
We have stated that the point charge's electric field is E=2.5 N/C.
Distance from point charge R = 51 cm = 0.51 m
We are aware that the electric field resulting from a point charge is given as E = 1 / 4π∈₀ × Q / R²
so 2.5 = 9 x 10⁹ Q/ 0.68²
The magnitude of a point charge is 0.189 x 10⁻⁹C.
The electric force per unit charge is referred to as the electric field. It is assumed that the field's direction corresponds to the force it would apply to a positive test charge.
From a positive point charge, the electric field radiates outward, and from a negative point charge, it radiates in.
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If a football quarterback can throw the ball at 20.0 m/s, what is the furthest distance the quarterback could throw the ball neglecting air resistance?
The furthest distance the quarterback could throw the ball neglecting air resistance is 81.63 meters.
The situation given above is an example of projectile motion.
The maximum distance up to which a projectile can be thrown is known as its range, which is given by the formula,
Range(R) = 2u^2 sin(2θ)/g
Here u is the maximum velocity of the projectile= 20 m/s
θ is the angle at which the projectile is launched = 45°
g is the acceleration due to gravity = 9.8 m/s^2
Putting the above values in the given equation,
The range comes out to be 81.63 meters.
Hence, the furthest distance the quarterback could throw the ball neglecting air resistance is 81.63 meters.
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Write down the names of three mar-made devices in everyday use that depend,
for their action, upon the moments of forces.
Answer:
Scissors
Tap
Spanner
Explanation:
A solution is made by mixing 27.g of chloroform chcl3 and 55.g of acetyl bromide ch3cobr. calculate the mole fraction of chloroform in this solution. round your answer to 2 significant digits.
The Mole fraction of Chloroform in this solution is 0.336
We know that,
Mole Fraction of Chloroform = No. of moles of Chloroform / Total number of moles of the solution
No. of moles = Mass / Molar mass
Given that,
Mass of Chloroform = 27g
Mass of Acetyl bromide = 55g
Molar mass of Chloroform = 119.38 g/mol
Molar mass of Acetyl Bromide = 122.95 g/mol
No. of moles of Chloroform = 27 / 119.38 = 0.226 moles
No. of moles of Acetyl Bromide = 55 / 122.95 = 0.447 moles
Total no. of moles = 0.226 + 0.447 = 0.673 moles
Mole fraction of chloroform = 0.226 / 0.673 = 0.336
In a solution containing at least 2 components, the number of moles of one component divided by total number of moles in that solution is called Mole fraction.
Therefore, the Mole fraction of Chloroform in this solution is 0.336
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A father and his young daughter are ice skating. they face each other at rest and push each other, moving in opposite directions. which one has the greater final speed? group of answer choices
A father and his young daughter are ice skating. According to it, the daughter has greater speed.
The law of action and response is Newton’s third principle.According to Newton’s third law, when two bodies come into contact, they exert forces on one another that are equal in size and directed in the opposite direction. The law of action and reaction is another name for the third law.
This law applies to bodies in uniform or rapid motion and is crucial for addressing problems of static equilibrium, where all forces are in balance. The forces it discusses are actual phenomena, not just accounting tricks.
If there is a net force operating on a body, it moves faster in line with the second rule.
If there is no net force acting on the body, either because there are no forces at all or because all forces are precisely balanced by opposing forces, the body does not accelerate and is said to be in equilibrium.
On the other hand, it can be assumed that a body that appears to be moving slowly has no net force acting on it.
So going according to it, the daughter has greater speed.
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A rectangular piece of land with an area of 260,000 m²
is 2,000 m long. Write the area and length in scientific
notation, and then find the width.
Considering the defintion of area of a rectangle and multiplication in scientific notation, you obtain:
the rectangular piece of land with an area of 2.6×10⁵ m² is 2×10³ m long.the width of the rectangular piece is 1.3×10² m.Scientific notationScientific notation is a quick way to represent a number using powers of base 10.
The numbers are written as a product:
a×10ⁿ
where:
a is a real number greater than or equal to 1 and less than 10, to which a decimal point is added after the first digit if it is a non-integer number.n is a whole number, which is called an exponent or an order of magnitude. Represents the number of times the point decimal is shifted. It is always an integer, positive if it is shifted to the left, negative if it is shifted to the right.Area of a rectangle
A rectangle is a flat geometric figure with four sides, of which two sides that are opposite parallel to each other have the same length and the remaining two have another length.
The area of a rectangle is calculated from the two different sides (a and b). It is the product of the two contiguous sides of the rectangle:
Area of a rectangle= a×b
where a and b are the measures of the two sides.
Area and length in scientific notationA rectangular piece of land with an area of 260,000 m² is 2,000 m long.
To write the area and length in scientific notation, the following steps are performed:
The decimal point is moved to the left as many spaces until it reaches the right of the first digit. This number will be the value of a in the previous expression. Then: area= 2.60000= 2.6 and length= 2.000= 2.The base 10 is written with the exponent equal to the number of spaces that the decimal point moves. This is a positive number because the decimal point is shifted to the left, and it will have a value of: in the value of area: n=5 and in the value of length: n= 3.So, the rectangular piece of land with an area of 2.6×10⁵ m² is 2×10³ m long.
Width of the rectangular pieceIn this case, you know that a rectangular piece has:
an area of 2.6×10⁵ m².a length of 2×10³ m.Replacing in the definition of a rectangle:
2.6×10⁵ m²= width× 2×10³ m
2.6×10⁵ m²÷ 2×10³ m= width
To divide two numbers in scientific notation, you must divide the numbers that are not powers of 10 (what was previously called the "a" number). To divide the powers of ten, you must subtract the exponents. In this case:
Width= (2.6÷ 2)×10⁵⁻³ m
Width= 1.3×10² m
Finally, the width of the rectangular piece is 1.3×10² m.
SummaryIn summary, you obtain:
the rectangular piece of land with an area of 2.6×10⁵ m² is 2×10³ m long.the width of the rectangular piece is 1.3×10² m.Learn more about
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How many moles of disulfur decafluoride are present in 3.46 grams of this compound?
Moles of disulfur decafluoride are present in 3.46 grams of this compound is 0.025 mol
There are 6.022 x 10^23 S2F10 units in one mole
There are 6.022 x 10^23 S2F10 units in one mole of the stuff by definition.
And thus 1.55 x 10^22 molecules/6.022 x 10^23 molecules mol^-1 =~ 0.025 mol
S2F10 is nasty stuff, though apparently it is quite odourless (this is a "good" property in a war gas, because some punter might get a lethal dose of it before he realizes he has been gassed; the substance has never been deployed in war).
What are moles ?A mole can be defined as the amount of substance that contains the same number of chemical entities (atoms, ions, molecules, etc.) as there are in 12 g of Carbon-12 isotope, as defined by the General Conference on Weights and Measures.
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What is the displacement if Susan walked 25km west to the store and 25km back home
I need help with this ASAP.. it was due today.. I'm not playing no games
Answer:
The answer is January. Your welcome
Explanation:
An astronaut on a strange planet finds that she can jump a maximum horizontal distance of 15 m if her initial speed is 3 m/s. what is the free-fall acceleration on the planet?
Answer:
R = V^2 sin 2 θ / g range formula
R is a maximum for θ = 45 and R = V^2 g
g = V^2 / R = 3^2 / 15 = .6 m/s^2
The temperature at which an alligator's egg is incubated will determine the sex of the offspring. the dependent and the independent variables in this experiment are ________.
The infant alligator's sex is the dependent variable in this experiment, and temperature is the independent variable.
By dependent and independent variables, what do you mean?The independent and dependent variables are the two main factors in an experiment. In a scientific experiment, an independent variable is a variable that is altered or controlled to see how it affects the dependent variable. In a scientific experiment, the variable under test and being measured is known as the dependent variable. Example: Your test score is influenced by how much you sleep (an independent variable) (dependent variable). One of the most crucial aspects of scientific study is establishing cause and effect relationships. Knowing which variable is the cause, or independent variable, and which is the effect, or dependent variable, is crucial.
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set up the experiment as follows:
1. make a small hole in the cardboard. it should be 4 inch from one edge and centered.
2. pull the string or thread through the hole in the cardboard, and tie the ends together to form a loop.
3. slide a large paperclip onto the string, and bend one end out slightly to act as a hook.
4. place a nonbreakable object, such as a kitchen utensil, on the cardboard.
5. select two nonbreakable objects with holes that can be hung on the hook.
what two objects will you select to hang on the hook?
The two objects that I would select to hang on the hook are scissors and stainless-steel cup.
The concept of Balanced ForcesForce symmetry
Balanced forces are those that have opposing directions and equal sizes. One definition of equilibrium is a state of balanced forces.
When the forces are in balance, there is no change in direction.
The sum of balanced forces is always zero. Merging vectors
The momentum or direction of an object cannot be changed by balance forces.
A balanced force keeps an object moving at a steady speed. (Newton’s First Law of Motion)
The Concept of unbalanced forcesAsymmetry of forces
Forces that are not equal in size and differ in direction, always set something moving. (Can alter an object’s direction or speed)
The combined force is equal to the difference between two unbalanced forces acting in opposing directions.
The combined force is equal to the sum of the two unbalanced forces acting in the same direction.
The net force is equal to the resultant when the forces are at right angles.
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Answer:
Explanation:
The two objects that I would select to hang on the hook are scissors and stainless-steel cup.
The concept of Balanced Forces
Force symmetry
Balanced forces are those that have opposing directions and equal sizes. One definition of equilibrium is a state of balanced forces.
When the forces are in balance, there is no change in direction.
The sum of balanced forces is always zero. Merging vectors
The momentum or direction of an object cannot be changed by balance forces.
A balanced force keeps an object moving at a steady speed. (Newton’s First Law of Motion)
The Concept of unbalanced forces
Asymmetry of forces
Forces that are not equal in size and differ in direction, always set something moving. (Can alter an object’s direction or speed)
The combined force is equal to the difference between two unbalanced forces acting in opposing directions.
The combined force is equal to the sum of the two unbalanced forces acting in the same direction.
The net force is equal to the resultant when the forces are at right angles.
8 m N & 5 m 30° N of E
Draw and add the vectors.
The Pythagorean theorem can be used to find the resultant, which has a magnitude of 15.6 kilometers. The answer is displayed beneath the diagram.
A resultant vector that is directed both north and east can be created by adding together two displacement vectors with magnitude and direction of 11 km north and 11 km east. The hypotenuse of a right triangle is the result of adding the two vectors' head to tail as shown below. The right triangle's sides are 11 km and 11 km long. Scaled vector diagrams are frequently used to represent vector quantities. An arrow drawn to scale and pointing in a particular direction is used in vector diagrams to represent a vector.
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If the entire apparatus is immersed in water, what happens to the distance between the fringes on the screen?
The space between the screen fringes will be closed if the complete apparatus is submerged in water.
What does fringe distance mean?The space between two consecutive bright spots (maximas, when constructive interference occurs), or two consecutive dark patches, is known as the fringe width (minimas, where destructive interference occurs). All of the fringes in Young's double-slit experiment are the same length. The formula yields the fringe width. β = λD/d. Because it depends on L, the spacings between various fringes get smaller as the slit distance gets bigger. Since the space between various fringes is wavelength dependent, increasing the light's wavelength also increases that separation.
In comparison to air, water has a shorter wavelength of light. Therefore, when the device is submerged in water, the fringe width will diminish.
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how does nuclear reaction occur in the sun
Explanation:
In the core of the Sun hydrogen is being converted into helium. This is called nuclear fusion.
It takes four hydrogen atoms to fuse into helium atom. During the process some of the mass is converted into energy.
A nuclear reaction combining nuclei of lighter atoms together to form heavier nuclei resulting in the release of tremendous amount of energy is called a nuclear fusion reaction.
Nuclear fusion reaction takes place in the sun.
Answer:
In the core of the Sun hydrogen is being converted into helium. This is called nuclear fusion. It takes four hydrogen atoms to fuse into each helium atom. During the process some of the mass is converted into energy.
A car accelerates from 5.0 m/s to 21 m/s at a rate of 3.0 m/s2. how far does it travel while accelerating?
The car which accelerates from 5.0 m/s to 21 m/s at a rate of 3.0 m/s2 travels 69.33 m
The formula for Uniformly varied rectilinear motion (UVRM) and procedure we will use to solve this exercise is:
x = (vf²-vi²)/ (2a)
Where:
x = distancevf = final velocityvi = initial velocitya = accelerationInformation about the problem:
vi= 5.0 m/s vf = 21 m/sa = 3.0 m/s2x= ?Applying the distance formula, we have:
x = (vf²-vi²)/ (2a)
x = [(21 m/s)²- (5.0 m/s)²]/ (2 * 3.0 m/s²)
x = (441 m²/s²- 25 m²/s²)/ 6 m/s²
x = 416 m²/s²/ 6 m/s²
x = 69.33 m
What is acceleration?It is a physical quantity that indicates the variation of velocity as a function of time, it is expressed in units of distance per time squared e.g.: m/sec2 ; km/h2
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Controlled variables (constants) and a negative control group are easily confused by students. How would you explain the difference between these two words?
Answer:
A control variable is any factor you control or hold constant during an experiment and a negative control group is a control group that is not exposed to the experimental treatment or to any other treatment that is expected to have an effect
In a first order decomposition, the constant is 0.00586 sec-1. what percentage of the compound is left after 3.32 minutes?
The correct answer for percentage of the compound is left after 3.32 minutes is 55 % .
We use the formula A(t) = A0e-kt for decomposition, where A0 is the initial amount of decomposed substance at t = 0, k is the decay constant, t is the time elapsed, and A(t) is the amount after time t.
The percentage of decomposed compound left after a time t is, [A(t)], divided the the initial amount, [A0], time 100, or A/A0*100:
A = A0e-kt
A/A0 = e^- 0.00586t, [k = 0.00299, divide both sides by A0]
A/Ao = e^(-0.00299*199), [t = 3.32 min*(60 sec/ 1 min) =199 sec]
A/A0 = . 0.551= 55%, (* 100, rounded)
The Arrhenius equation is k = Ae(-Ea/kT), where A is the frequency or pre-exponential factor and e(-Ea/RT) is the fraction of collisions at temperature T that have enough energy to overcome the activation barrier (i.e., have energy greater than or equal to the activation energy Ea).
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If the car maintains its constant acceleration, how much additional time does it take the car to reach a velocity of 35.0 m/sm/s ? express your answer in seconds.
5 seconds is the additional time.
Describe acceleration using an example.It is possible for an object's velocity to alter by increasing, decreasing, or changing its direction of motion. A few instances of acceleration include an apple falling to the ground, the moon orbiting the earth, and a car coming to a stop at a set of traffic lights.How is acceleration measured?A metre per second (m/s2) is used to measure acceleration. The newton is the unit of force responsible for producing an acceleration of one meter per second per second when applied to a mass of one kilogram.learn more about acceleration here
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Sabrina is studying exercise physiology. What is MOST likely to be the
main focus of her studies?
O how bodies react when muscles are put to use
O how skeletal bones affect exercise form and posture
O how the lungs and heart respond to aerobic workouts
how anaerobic workouts boost metabolism
According to the research, the correct option is how the lungs and heart respond to aerobic workouts. It is most likely to be the main focus of her studies of exercise physiology.
What is exercise physiology?It is the medical specialty that includes the study and understanding of physical activity as a physiological stimulus and its repercussions on each of the organs of the human body, their behavior and responses.
In this sense, during physical activity or exercise, cardiovascular physiological adaptations occur that improve physical performance since all the body's systems are automatically activated and in tune.
Therefore, we can conclude that according to the research, the correct option is how the lungs and heart respond to aerobic workouts. It is most likely to be the main focus of her studies of exercise physiology.
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A labrador retriever runs 50.0 meters in 7.20 seconds to retrieve a bird. the dog then runs half way back in 3.85 seconds. determine the average speed of the dog and the average velocity of the dog
The average speed of the dog is 6.8 m/s while the average velocity is 6.8 m/s halfway to the starting point.
Speed and velocityThe speed of a moving object is the ratio of the distance covered by the object and the time taken to cover the distance. The average speed is the ratio of the total distance traveled and the total time taken.
Velocity, on the other hand, refers to the speed in a particular direction. In other words, velocity is a vector quantity while speed is a scalar quantity.
In this case:
Total distance covered = 50 + 25
= 75 meters
Total time taken = 7.2 + 3.85
= 11.05 seconds
Average speed = 75/11.05
= 6.8 m/s
Average velocity = 6.8 m/s halfway
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Determine whether the underlined numerical value is a parameter or a statistic. explain your reasoning. a certain zoo
Parameter, because the data set of all 843 animals in a zoo is a population.
The population of all animals in the Zoo is 843
Proportion = 8%, which is the ratio regarding the population. So 8% is populaton proporiton, i..e Parameter .
What is a zoo?A zoo, short for the zoological garden, is a place where animals are kept in enclosures, cared for, presented to the public, and occasionally bred for conservation efforts. The phrase zoological garden refers to zoology, the study of animals. It is also used to refer to an animal park or menagerie. In the United States alone, over 181 million people visit zoos every year. The goal of the modern zoo, which first appeared in the 19th century in the United Kingdom was to entertain and inspire the public by offering scientific inquiry and later educational exhibits. The London Zoological Gardens, which was opened to the public in 1847 after being opened for scientific study in 1828, is where the abbreviation "zoo" first appeared.
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What magnitude acceleration does the enterprise need to just barely avoid a collision with the klingon ship? assume the acceleration is constant.
The enterprise must slow down to [tex]-2.5 km/s^{2}[/tex] to avoid a collision.
Describe average velocity.Average velocity is defined as the difference between the change in position or displacement (x) and the time intervals (t) during which the displacement occurs. The average velocity may be positive or negative depending on the displacement's direction. The unit of measure for average velocity in the SI is meters per second (m/s or m[tex]s^{-1}[/tex]).
What are the three equations of kinematics?Only when acceleration is constant and motion is on a straight line can the equations of kinematics be used.
v = u + ats = ut + ½at²v² = u² + 2asLet us assume that,
A = Starship enterprise
B = Klingon ship
Considering that the starship enterprise slows down steadily, the following would be the average velocity:
[tex]v_{a}__{i}[/tex] =( [tex]v_{a}__{i}[/tex] + [tex]v_{a}__{f}[/tex] )/2
where [tex]v_{a}__{f}[/tex] = 0 since it must come to a stop
[tex]v_{a}[/tex] = (50 + 0)/2
[tex]v_{a}[/tex] = 25 km/s
As a result, A must travel 100 km in addition to the distance B travels during that period before coming to a stop:
[tex]d_{A}[/tex] = [tex]d_{B}[/tex] + 100
25t = 20t + 100
5t = 100
So,
[tex]d_{A}[/tex] = 25t
[tex]d_{A}[/tex] = 25(20)
[tex]d_{A}[/tex] = 500 km
and
[tex]d_{A}[/tex] = [tex]v_{a}__{i}[/tex] × t + [tex]\frac{1}{2} a t^2[/tex]
500 = 50(20) + [tex]\frac{1}{2} a(20)^2[/tex]
a = [tex]-2.5 km/s^2[/tex]
Therefore, the enterprise must slow down to [tex]-2.5 km/s^{2}[/tex] to avoid a collision.
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The complete question is: "The starship enterprise returns from warp drive to ordinary space with a forward speed of 50 km/s. to the crew’s great surprise, a Klingon ship is 100 km directly ahead, traveling in the same direction at a mere 20 km/s. without evasive action, the enterprise will overtake and collide with the Klingons in just slightly over 3.0 s. the enterprise’s computers react instantly to brake the ship. what magnitude acceleration does the enterprise need to just barely avoid a collision with the Klingon ship? assume the acceleration is constant."
Unshielded twisted-pair cable capable with a specification of 100 mhz/100 mbps is also called category ________.
Unshielded twisted-pair cable capable with a specification of 100 MHz/100 maps is also called category of switch.
What is Unshielded twisted-pair cable?The unshielded turned pair link is 100-ohm copper link that is constitutive of unshielded curved matches which range somewhere in the range of two to 1,000 and 800. They have no metallic covering on top of the contorted wires. This enjoys the benefit of making the link more modest in distance across. One normal use for protected wound pair links is to involve it in outrageous cold circumstances. Many individuals know that critical exploration is being led in very chilly region of the world. Truth be told, turned pair links have tracked down a great deal of utilizations in the media communications industry prior to getting well known in the PC organizing industry.
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A baseball is thrown at a velocity of 98.4 miles per hour. what is the speed in m/s?
A baseball is thrown at a velocity of 98.4 miles per hour. The speed in m/s is approximately 43.73 m/s.
The velocity or speed means the amount of distance we have travelled per unit time.
The speed given is 98.4 miles/hour
V = 98.4 miles/hour
Since, 1 miles = 1.6 km = 1600 m
1 hour = 3600 s
So the speed in metre per second is:
V = [tex]\frac{98.4 \times 1600}{3600} m/s[/tex]
[tex]\approx 43.73 \ m/s[/tex]
Hence, the speed in m/s is approximately 43.73 m/s.
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What would happen to the predominant protonation state and charge of the his and asp side chains if the ph were to change from 7.40 to 5.00?
The predominant protonation state and charge of the His and Asp side chain will be predominantly protonated and positively charged if both its p[tex]K_{a}[/tex] values is more than 5.
We know that,
pH = p[tex]K_{a}[/tex] + ( log [ [tex]A^{-1}[/tex] ] / [ HA ] )
where,
[ [tex]A^{-1}[/tex] ] represents deprotonated form
[ HA ] represents protonated form
Consider pH = p[tex]K_{a}[/tex]
In this case,
[ [tex]A^{-1}[/tex] ] / [ HA ] = 1
This means that protonated and deprotonated forms are equal.
This also means that as pH decreases, the acid's state will be predominantly protonated and its charge will be positive.
The relationship between pH and p[tex]K_{a}[/tex] shown above is known as Henderson-Hasselbach equation
Therefore, the predominant protonation state and charge of the His and Asp side chain will be predominantly protonated and positively charged if both its p[tex]K_{a}[/tex] values is more than 5.
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What is the term for the specific set of equations that describe motion in terms of acceleration, displacement, time, and velocity?
The specific set of equations that describe motion in terms of acceleration, displacement, time, and velocity are given as,
v = u + at.
v² = u² + 2as.
s = ut + ½at²
where, v is final velocity, u is initial velocity, t is time , s is displacement , a is acceleration. The above equation shows the equations of linear motion .
The acceleration is defined as ,the change in velocity (Δv) over the change in time (Δt), The unit is [tex]m/s^{2}[/tex]
acceleration (a) = Δv/Δt.
The velocity is defined as the rate of change of displacement .The unit is given by m/s.
Δv= Δx/Δt
In the above equation, Δv is change in velocity, Δx & Δt are the change in distance and time respectively.
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Write a formula for a triangular wave with period 6, minimum value 0 and maximum value of 10
The equation for triangular wave with period 6 and amplitude 10 is -
[tex]$y=\frac{40}{6} |(x -\frac{6}{4})\;mod\;6)-\frac{6}{2}| - 10[/tex].
We have a triangular waveform.
We have to determine the equation representing this triangular waveform.
What is Waveform?
A waveform is a graphical representation of the shape of a wave that indicates its characteristics such as frequency and amplitude.
According to the question, we have -
Time Period = 6
Minimum value = 0
Maximum value = 10
Therefore -
Range → R ∈ [0, 10]
Amplitude = Max. value - Min. value = 10 - 0 = 10
The general equation for a triangle wave with amplitude 'a' and period 'p' is given by →
[tex]$y=\frac{4a}{p} |(x -\frac{p}{4})\;mod\;p)-\frac{p}{2}| - a[/tex]
Now -
a = 10
p = 6
Substituting values -
[tex]$y=\frac{40}{6} |(x -\frac{6}{4})\;mod\;6)-\frac{6}{2}| - 10[/tex]
Hence, the equation for triangular wave with period 6 and amplitude 10 is -
[tex]$y=\frac{40}{6} |(x -\frac{6}{4})\;mod\;6)-\frac{6}{2}| - 10[/tex]
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