The unifying relationship among the variables temperature, volume, pressure, and the number of moles is described and summarized by the ideal gas law.
The equation for ideal gas law is given below where T is temperature, V is the volume, P is the pressure, n is the number of moles of the gas, and R is the gas constant 0.082056 L⋅atm/mol⋅K
PV = nRT
Calculate first the moles of O2 from the moles of Ag2O
moles O2 = 0.5 moles Ag2O x 1 mol O2/2 mol Ag2O = 0.25 moles
Assuming that the oxygen gas is an ideal gas, we will use the ideal gas equation to calculate the volume it occupies.
V = nRT/P
V = 0.25 moles*0.082056*546k/1 atm =
11 L
Hence, volume of pure oxygen gas (o2) is 11 L
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Describe a situation in which you can accelerate even though your speed doesn’t change.
Uniform circular motion is an example of this question.
Uniform motion in a circular path defines a uniform circular motion.For a circular motion, the essential condition to be fulfilled is having a centripetal force directed towards the centre of the locus.If not that kind of motion defines a uniform linear motion.According to Newton's second law, when there is a net force there exists an acceleration in the direction of the net force.This acceleration in a circular motion is called the "centripetal acceleration".Since the motion is uniform, its speed remains constant having only the direction of the instantaneous speed changing.Therefore, in that type of motion, there is the situation of no speed change with acceleration.
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Three objects are set in motion, a 4.4 kg object at 1.6 m/s, a 3.0 kg object at 3.0 m/s, and a 1.6 kg object at 4.4 m/s. which object has the most kinetic energy?
The third object has the most kinetic energy (15.49 joule).
We need to know about kinetic energy to solve this problem. kinetic energy can be defined as the energy of moving object. It can be determined by
KE = 1/2 . m . v²
where KE is kinetic energy, m is mass and v is speed of object.
From the question above, we know that:
m1 = 4.4 kg
m2 = 3.0 kg
m3 = 1.6 kg
v1 = 1.6 m/s
v2 = 3.0 m/s
v3 = 4.4 m/s
Find the kinetic energy
KE1 = 1/2 . m1 . v1²
KE1 = 1/2 . 4.4 . 1.6²
KE1 = 5.632 joule
KE2 = 1/2 . m2 . v2²
KE2 = 1/2 . 3. 3²
KE2 = 13.5 joule
KE3 = 1/2 . m3 . v3²
KE3 = 1/2 . 1.6 . 4.4²
KE3 = 15.49 joule
Hence, the third object has the most kinetic energy (15.49 joule).
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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.
Why does the periodic table work?
Answer:
The table lists the chemical elements in order of increasing atomic number, which is the number of protons in an atom of an element.
Explanation:
The periodic table is a graphical collection of element data. The table lists the chemical elements in order of increasing atomic number, which is the number of protons in an atom of an element. The rows (periods) and columns (groups) organize elements according to similar properties.
The atomic number, or the number of protons in an element's atom, is used in the table to organize the chemical elements.
How does the periodic table ?The Gaussian Model in subatomic particles, which allows the known elementary particles to be arranged according to their inherent properties, can be compared to the periodic table. The table is significant because it is set up to offer a wealth of knowledge on elements and their interactions in a single reference. Even elements that have yet to be found can have their properties predicted using the table.
What is periodic table and its importance?All known elements are grouped together in the periodic table of the elements into groupings with related properties. It becomes a crucial tool for chemists, nanotechnologists, as well as other scientists as a result. You can forecast how chemicals will react if we learn to use and comprehend the periodic table.
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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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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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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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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."
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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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
I need help with this ASAP.. it was due today.. I'm not playing no games
Answer:
The answer is January. Your welcome
Explanation:
What is the displacement if Susan walked 25km west to the store and 25km back home
In the article, the study author recommends going on a "photo hunt." What was the purpose of this activity?
In a scavenger hunt, participants compete to collect the greatest number of objects from a predetermined list. As opposed to a scavenger hunt, a treasure hunt entails following a sequence of clues to locate a particular thing or objects.
A sheet containing a list of things will be supplied to each team or person. You have to locate every object and take a picture. Whoever has the most photos at the end of the timer wins. You must always remain as a team if you're participating in it. A spot-the-difference game is Photo Hunt. Players are presented with two identical photographs side by side at each stage, with just five distinctions between them.
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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
A ball is rolled horizontally off the top of a table. After 3 seconds the ball lands on the ground with a final velocity of −3.5 m/s. Which kinematic equation would be most useful for finding the ball’s initial velocity? (Assume a= −9.8 m/s2)
The initial velocity of the ball cannot be found only using the given information. Horizontal distance travelled is required to calculate the initial velocity and vice-versa.
In a horizontally launched projectile motion, the initial velocity is the velocity in x-direction which is constant throughout the motion. In y-direction the initial velocity is zero. Using the information given in y-direction, vertical distance can be found.
According to kinematic equations,
Δy = [tex]u_{oy}[/tex]t + 1 / 2 gt²
Δy = 0 + ( 1 / 2 ) * 9.8 * 3²
Δy = 44.1 m
For calculating factors in the x-direction,
[tex]V_{0x}[/tex] = [tex]d_{x}[/tex] / t
Without one of the missing factors, the other cannot be found.
Therefore, the initial velocity of the ball cannot be found only using the given information.
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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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what would happen to the bulb if we had one cell and one light bulb in a series circuit
All bulbs in the circuit go out happen to the bulb if we had one cell and one light bulb in a series circuit.
A series circuit consists of a channel via each component where the entire current flows. In a parallel circuit, the branches divide the current so that only a portion of it passes through each branch.
A circuit is referred to as a series circuit when all of the devices are linked in series. Each component of a series circuit is connected in such a way that only one channel for charge to travel via the external circuit is possible.
"A circuit with the components arranged in a straight line, so that all the current goes through each component in turn," is the definition of a simple series circuit.
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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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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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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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The driving force for heat transfer through physical contact between two objects is determined by:_______
The driving force for heat transfer through physical contact between two objects is determined by: The temperature gradient between the objects.
Briefing :Temperature gradient is what drives heat transfer. When it occurs between two things, this process is known as conduction. The rules of thermodynamics state that, without an external force, heat will move from high-temperature systems to low-temperature systems.Temperature is what drives heat transfer or the passage of heat. A state of higher temperature moves heat into a state of lower temperature. The potential difference or voltage between two terminals or electrodes is what generates electricity.For instance, the antifreeze that runs along the cylinder walls of your car's engine conducts heat from the engine by conduction. This stops your car's engine from overheating.Learn more about the Temperature gradient with the help of the given link:
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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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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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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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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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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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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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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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