The mass of a mole of dry air is approximately 28.97 g/mol, which we attain by adding up the mass of each component gas.
The mass of a mole of dry air can be calculated by determining the mass of each component gas in the mixture and adding them together. A mole of a gas is defined as the number of atoms or molecules of the gas that contains Avogadro's number of entities, which is 6.022 x 10^23.
To calculate the mass of a mole of air, we first need to determine the number of moles of each component gas in a sample of air. The volume percent of each gas in dry air can be used to calculate the number of moles of each gas in a sample. For example, the number of moles of nitrogen (N2) in a sample of air can be calculated as follows:
n(N2) = 0.78 x total number of moles of air
Similarly, the number of moles of oxygen (O2) and argon (Ar) in a sample of air can be calculated using their volume percentages.
Next, we need to determine the molecular weight of each component gas, which is the mass of one mole of the gas. The molecular weight of nitrogen is 28.02 g/mol, the molecular weight of oxygen is 32 g/mol, and the molecular weight of argon is 39.95 g/mol.
Finally, to calculate the total mass of a mole of air, we add up the mass of each component gas:
Mass of a mole of air = n(N2) x MW(N2) + n(O2) x MW(O2) + n(Ar) x MW(Ar)
The mass of a mole of dry air is therefore = 28.97 g/mol.
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genetic engineering 10 concept
Class 10 Genetic Engineering:
Genetic engineering is the modification of the genetic information of living organisms by manipulating DNA. H. Adding, deleting, or repairing pieces of genetic material (DNA) to change the phenotype of an organism. Also known as genetic engineering or recombinant DNA (r-DNA) technology.
About Genetic engineeringGenetic engineering is a technique of modifying the genetic molecular composition of an organism so that it has new properties. Genetic engineering is the essence of biotechnology which aims to obtain superior organisms or products. Genetic engineering can be applied to any organism, from plants to animals and even humans.
But until now, genetic engineering is more often applied in the fields of food, agriculture, and certain microorganisms. Genetic engineering allows scientists to transfer or implant genes from one organism to another. It can also remove certain genes that are considered unfavorable from an organism.
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Black hole radius, large to small. What is the Schwarzschild radius of (a) the supermassive black hole with
4.0×10 10
solar masses in the Abell 85 galaxy cluster, (b) the imaged
M87
black hole with
6.4×10 9
solar masses, (c) an intermediate mass black hole with
1.0×10 4
solar masses, (d) the Sun, with mass
1.99×10 30
kg
, and (e) a micro black hole with a mass of
2.0×10 −8
kg
The Schwarzschild radius of different materials supermassive black hole and M87black hole are[tex]4.80528 \times 10^{-19} and 9.49 \times 10^{-18}[/tex] respectively.
What is a black hole's Schwarzschild radius?The distance connecting a Schwarzschild black hole's centre and event horizon is known as the Schwarzschild radius. The event horizon is positioned above the Schwarzschild radius, that starts at the black hole's centre. Black holes have a rather important characteristic called the Schwarzschild radius.
Schwarzschild radius (Rs)= 2GM/c²
G=> gravitational constant = [tex]6.674 \times 10^{-11} m^3/kgs^2[/tex]
c=> speed of light =>[tex]3\times10^{8}m/s[/tex]
M => solar mass
A) Rs of supermassive black hole =>
[tex]2 \times 6.674 \times 10^{-11} \times 4.0\times10^{1}0/(3\times10^{8})^{2} = 4.80528 \times 10^{-19}[/tex]
B) Rs of M87black hole
[tex]= 2 \times 6.674 \times 10^{-11} \times 6.4 \times 10^{9} /(3 \times 10^{8})^{2} = 9.49 x 10^{-18}[/tex]
C) Rs of intermediate mass black hole =
[tex]2 \times 6.674 \times 10^{-11} \times 1.0\times10^{4} /(3\times10^{8})^{2} = 1.48 x 10^{-23}[/tex]
D) Rs of the Sun =
[tex]2 \times 6.674 \times 10^{-11} \times\frac { 1.99 \times 10^{30}}{(3x10^{8})^{2}} = 2.95 \times 10^{3}[/tex]
E) Rs of micro black hole =>
[tex]2 \times 6.674 \times 10^-11 x\frac{ 2.0\times 10^{−8}}{(3 \times 10^8)^{2}} = 2.96 \times 10^{-35}[/tex]
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Complete question -
Black hole radius, large to small. What is the Schwarzschild radius of
(a) the supermassive black hole with 4.0×10^10 solar masses in the Abell 85 galaxy cluster
(b) the imaged M87black hole with 6.4×10^9 solar masses
(c) an intermediate mass black hole with 1.0×10^4 solar masses
(d) the Sun, with mass 1.99×10^30 kg
(e) a micro black hole with a mass of 2.0×10^−8 kg
how far (in m) is it from where they drop the rock to the bottom of the shaft? the speed of sound at the temperature of air in the shaft is 336 m/s. (round your answer to at least three significant figures. use g
The distance is equal to 2.28 km if rock is dropped to bottom of shaft when air temperature of shaft is given, if we round at least three significant figures.
The distance from where the rock was dropped to the bottom of the shaft can be calculated using the formula for free fall, which is the distance traveled by an object under the influence of gravity. Free fall is described by the equation:
[tex]d = 1/2 * g * t^2[/tex]
Where d is the distance traveled, g is the acceleration due to gravity ([tex]9.8 m/s^2[/tex]), and t is the time elapsed.
We can use the speed of sound to determine the time elapsed. The time elapsed is equal to the time it takes for the sound of the rock hitting the bottom of the shaft to travel back to the top of the shaft:
t = d / v
Where v is the speed of sound.
Substituting this into the free fall equation gives:
[tex]d = 1/2 * g * (d / v)^2[/tex]
Solving for d, we find:
[tex]d = (v^2) / (2 * g)[/tex]
Plugging in the given values of v = 336 m/s and g = [tex]9.8 m/s^2[/tex], we find that the distance is:
d = (336^2) / (2 * 9.8) = 336^2 / 19.6 = 44864 m / 19.6 = 2280 m
Rounding to three significant figures, the distance is approximately 2.28 km.
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Complete Question: How far (in metres) is it down the shaft from where they drop the rock? At the air's temperature in the shaft, the sound speed is 336 m/s. (Round your response to at least three decimal places. use g = 10
A solid nonconducting sphere of radius R has a charge Q uniformly distributed throughout its volume. A Gaussian surface of radius r with r < R is used to calculate the magnitude of the electric field E at a distance r from thecenter of the sphere. Which of the following equations resultsfrom a correct application of Gauss’s law for this situation? And Why?1. E (4 p r^2) = (Q r^3)/( epsilon sub0 * R3)2. E(4pr^2)= (Q 3r^3)/ (epsilon sub0 * 4 p R)3. E (4 p r^2) = (Q) / (epsilon sub0)
Option 3 that is E (4 p r^2) = (Q) / (epsilon sub0) results from a correct application of Gauss’s law for this situation.
What is electric field?The electric flux through a closed Gaussian surface is proportional to the charge enclosed inside the surface, according to Gauss' law. Because the electric field is uniform at r from the sphere's center, the electric flux through a spherical Gaussian surface of radius r is proportional to the charge contained, Q, and the surface area, 4r2. As a result, the equation E (4 p r2) = (Q)/ is found. Option 1 and 2 are erroneous because they do not account for the uniform charge distribution throughout the sphere. The electric field at r from the center of the sphere is proportional to the charge enclosed within the Gaussian surface and the area of the surface, not to r3.
Here,
Option 3, E (4 p r2) = (Q) / (epsilon sub0), is the right application of Gauss' law in this scenario.
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consider an electrical circuit that consists of a battery, a mechanical switch, and a light bulb connected to form a single loop. which of the following statements are true about this circuit?
Complete question: Statements are: (Select all that are true)
Electrical current is generated by the battery and is only capable of flowing while the switch is in the closed position. Since there is no resistance in the circuit, when the switch is turned to the closed position, the voltage is the same throughout the whole circuit. When the switch is turned to the closed position, the circuit has no resistor, hence there is no resistance in the loop. Only when the switch is in the closed position does the filament of the light bulb transform the energy in the battery into light and heat.The true statements in electric circuit: Battery serves as motor flow when current is on. When switch is closed filament turns bulb's energy into heat and light.
In an electrical circuit that consists of a battery, a mechanical switch, and a light bulb connected to form a single loop, the battery acts as the driving force for an electrical current.
The switch regulates the circuit's current flow. When the switch is flipped to the closed position, a current will flow in the circuit, but when the switch is flipped to the open position, the current will stop flowing.
The presence or absence of resistance in the circuit affects the flow of current. In this circuit, there is no resistor, so there is zero resistance in the loop when the switch is flipped to the closed position.
Only when the switch is in the closed position does the filament of the light bulb transform the energy in the battery into light and heat.
This circuit is a simple example of how electrical circuits can be used to control the flow of electrical energy and convert it into useful forms of energy, such as light and heat.
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a 2 uc point charge of mass 5 g is suspended on.a string placed a in a horizontal electric field equlibrium 17.3 vertical find the electric force on the charge
The nucleus and electrons are drawn to one another by the electric force. The void created by a positive or negative charge is referred to as an electric field since it generates a field there.
What is Electric force?If you had a positive charge just here, it would have an electric field surrounding it and affect the area in which it was located.
The same applies for a negative charge; it too has an electric field surrounding it. Now, opposite charges attract each other while like charges repel one another.
A positive charge here and a positive charge here, for example, would resist one another since they are similar charges.
Therefore, The nucleus and electrons are drawn to one another by the electric force. The void created by a positive or negative charge is referred to as an electric field since it generates a field there.
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nitialize the tuple team names with the strings 'rockets', 'raptors', 'warriors', and 'celtics' (the top-4 2018 nba teams at the end of the regular season in order). sample output for the given program:
Following is the code in python language
team_names = ('Rockets','Raptors','Warriors','Celtics')#holding the string value,print(team_names[0],team_names[1],team_names[2],team_names[3])#display
Output:
Rockets Raptors Warriors Celtics
What is the explaination of above statement?Make a dictionary called "team names" with the string values Rockets Raptors Warriors and Celtics.
Finally, we used the print function, passing the index of the matching dictionary, team names[0]. It will display the first index value similarly to how we passed team names[1, 2, 3].
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a 10-n block and a 1-n block lie on a horizontal frictionless table. to impart equal horizontal accelerations, we would have to push the heavier block with
We would need to apply 10 times as much force to the heavier block in order to impart equivalent horizontal accelerations.
What is the correct unit of measurement for an object's weight?When the weight or gravitational force of an item is represented in "kilograms," the SI-noncompliant kg of kg f or kg-f, also called as the kilopond kp, is truly meant. The gravitational acceleration experienced by all things on the surface of the Earth is roughly 9.8 m/s2.
What is the weight formula?Weight = energy x gravity is the formula for relating mass and weight. This formula, which is also known as Newton's Second Law of Motion, states that force (or mass) is measured in Newtons (N), mass (m), and acceleration.
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listed below are the results of measurements taken on several different junction diodes. for each diode, the data provided are the diode current i and the corresponding diode voltage v. in each case, estimate is and the diode current at 750 mv
For each diode, the data provided are the diode current (I) and the corresponding diode voltage (V).
In each case, you can estimate the diode saturation current (IS) using the equation ([tex]VT = kT/q \cdot \ln(IS/I)[/tex]), where (VT) is the thermal voltage and (k) is Boltzmann's constant.
To estimate the diode current at 750 mV, you can use the diode equation ([tex]I = IS \cdot (e^{V/VT}-1)[/tex]) with the value of ([tex]I_S[/tex]) calculated above.
Boltzmann's constant, also known as k or kB, is a physical constant that connects the average kinetic energy of a particle to its temperature.
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consider a naca 2412 airfoil with chord of 0.64 m in airstream at standard sea level conditions. the free steam velocity is 70 m/s. lift per unit span is 1254 n/m. using lift coefficient (cl) and drag coefficient (cd) data from figures below find: a. reynolds number of the flow over the airfoil. (3 points) b. angle of attack the airfoil is flying at. (3 points) c. drag force per unit span, in n/m. (6 points)
The airfoil's flow has a Reynolds number of 3013.5 N/m2 and is flying at a 23.77° angle of attack.
A chord on an aero foil is what?A chord line is a hypothetical straight line made between an aero foil's leading and trailing edges in the direction of the usual wind.
c=0.64m at sea level
V=70m/s at infinity
Lift per unit span is
L=1254N
The dynamic pressure is given as
Density of water at infinity p∞=1.23kg/m³
q=½p∞V∞²
q=½×1.23×70²
q=3013.5 N/m²
Now,
Lift coefficient is given as
Cl = L/qc
Cl= 1254 /(3013.5 × 2)
Cl= 0.83
Then, coefficient is given as
Cl=2πα
Where α is the required angle
α= Cl/2π
α = 0.83/2π
α=0.415rad
Now, 1 rad= 57.296°
Then, α=0.415rad =0.415×57.296°
α=23.77°
The angle attack is 23.77°
Or Cl can also be
Cl=2πSinα
Sinα=Cl/2π
Sinα=0.83/2π
Sinα=0.415
Then, α=arc sin(0.415)
α=7.24°
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express the position vector rab in cartesian vector form. enter the components of the vector separated by commas. express your answers in meters to three significant figures.
The cartesian form of the position vector Rah us given as x-3/-6 = y+2/6 = z/3.
The coordinates of the point a are (3, -2, 0) and the coordinates of the point b is given to be (-3, 4, 3).
Now, we have to express the position vector R into the cartesian form,
Now, we know the formula,
(x-x₁)/(x₂-x₁) = (y-y₁)/(y₂-y₁) = (z-z₁)/(z₂-z₁)
The values are like this,
x₁ = 3 and x₂ = -3,
y₁ = -2 and y₂ = 4,
z₁ = 0 and z₂ = 3.
Now, putting values,
(x-3)/(-3-3) = (y+2)/(4+2) = (z-0)/(3-0)
Solving further, we get,
x-3/-6 = y+2/6 = z/3
So, the cartesian form of the vector R is given as x-3/-6 = y+2/6 = z/3.
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an ideal gas expands isothermally and reversibly to twice its original volume. which of the following statements are true?
For the following pairs of voltages and currents, indicate whether the element involved is a capacitor, an inductor, or a resistor, and find the value of C, L, or R if sufficient dataare given:a. v=550 sin(377 +50°)i = 11 sin(3771-40°)b. v36 sin(7541 - 80°)i = 4 sin(754t-170°)c. v =10.5 sin(wt-13°)i = 1.5 sin(wt-13°)
The formula for the speed of light, c, is 299792458 m/s x 3 x 108 m/s. Light travels at a speed of 186,000 mile per hour. Light travels through air at a speed of 299792 km/s.
Is there any connection between voltage and current?The relationship between flow, voltage, and resistance is described by Ohm's Law. This states that the current in a circuit is directly proportional to the voltage supplied or inversely related to the circuit resistance if the temperature is constant.
Can voltage exist without current?Given that current is what causes a charge to flow, voltages can exist without current. Voltage is the primary factor that drives current flow, with the exception of theoretical superconductors, hence current cannot exist without voltage.
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determine if the correspondence is a function. domain a set of circles. correpsondance the circumference of each curcle. rnage is a aset of nmbers
Ascertain whether the correspondence serves a purpose. Domain a circled pattern The diameter of each circle corresponds. a range of numbers
What is the meaning of ascertain?
1 to come to an awareness of. was immediately able to ascertain that the girl was uncomfortable talking about her life at home. Synonyms for ascertain. catch on (to), discover, find out, get on (to), hear, learn,
What is the difference between ascertain and ensure?
ascertain - be careful or certain to do something; make certain of something; "He verified that the valves were closed"; "See that the curtains are closed"; "control the quality of the product". insure, see to it, ensure, check, assure, control, see.
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ow do the tangential speeds of planets b and c compare to that of planet a ? in a clear, coherent paragraph-length response that may also contain equations and/or drawings, provide claims about
G stands for gravity constant.
The two items' masses are m1, m2.
r represents the distance between the items.
For the pair Star A-Planet A
Therefore, the star B's gravitational pull on planet B is 4F0 times as strong.
What is the planets' tangential velocity?The ratio of the angular velocity to the orbit's radius yields the tangential velocity. It may also be calculated by dividing the orbit's radius by the motion's time period.
The centripetal force, which accelerates the Earth toward the Sun and causes it to circle in an orbit, is caused by the gravitational attraction of the Sun.
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the load impedance in (figure 1) absorbs 2.5 kw and generates 5 kvar . the sinusoidal voltage source develops 7.5 kw . suppose that r
I = I sin t, where I is the maximum current and I is the current at time t, can be used to describe a sinusoidal alternating current. Similarly, we can write v = V sin t for an alternating sinusoidal voltage.
How would one define sinusoidal?A variable that is based just on sine function, a periodic value that oscillates smoothly between low and high values is referred to as a sinusoidal function. Since the cosine function is simply a horizontally shift of sine function, sinusoidal calculations can also be built on it.
Why is AC known as sinusoidal?Periodic waveforms known as sine waves can be represented graphically using the sin or cosine trigonometric functions. Electrical circuits that receive "AC" voltages and currents, or sinusoidal waveforms that polarity alternates on each cycle.
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the wheels on a car are spinning at 625625625 revolutions per minute. the car travels 888 feet every time the wheels spin around 111 revolution. what is the speed of the car in miles per hour? (round your answer to the nearest whole number. 1\,\text{mile}
The speed of the wheel on a car is 377 miles per hour. The result is obtained by using the equation of angular speed in relation to linear speed.
What is angular speed?An angular speed is a speed of an object in rotational motion. The angular speed in relation to linear speed is
ω = vr
Where
ω = angular speedv = linear velocityr = radius of a circleThe wheel on a car is spinning.
ω = 625 rev/minIt travels 8 feet/revolutionFind the linear speed of the wheel!
1 revolution means a circle of the wheel. The perimeter of the wheel is 8 feet.
The radius of the wheel is
P = 2πr
8 = 2(3.14)r
r = 8/6.28
r = 1.274 feet
r = 1.274 × 0.3048 m
r = 0.3883 m
We change the unit of angular speed to rad/s.
ω = 625 rpm
ω = 625 × 2π/60 rad/s
ω = 65.42 rad/s
The linear speed will be
ω = vr
65.42 = v(0.3883)
v = 65.42/0.3883
v = 168.5 m/s
Remember that 1 m/s = 2.237 mph.
v = 168.5 × 2.237 mph
v ≈ 377 mile per hour
Hence, the wheel of the car has the speed of 377 mile per hour.
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which of the constructors below successfully updates the values of the newly constructed object's fields? (select all that apply) public class point { private int x; private int y; //constructor 1 public point() { int x
None of the provided constructors will change the values of the fields in the freshly created object.
public point()
{
this.x = 0;
this.y = 0;
}
When a new instance of an object belonging to a class is produced, a function Object() { [native code] }, a specific kind of method, is invoked. It is employed to initialise the fields of the object and establish their starting values. Constructors cannot have void as a return type and must have the same name as the class. Java will automatically create a default function Object() { [native code] } for you in the absence of a function Object() { [native code] } for a class. The default function Object() { [native code] } is not constructed, though, if you define a function Object() { [native code] } in the class. It's possible to have numerous constructors in a class, known as overloaded constructors, each with a unique set of arguments. Based on the arguments supplied to the relevant function Object() { [native code] } during object creation,
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After an initial test run Mike determines that his pump does 240 J of work (W1). Calculate the amount of work (W2) in J that Mike would expect his pump to do if its volume were 3.5 times greater.
The Pump has a 240 J of work in normal condition. The change in volume of work will decrease the work performance of pump,
Since water discharge is equal to volume: [tex]Q=\frac{V}{t}[/tex]
And Power is equal to Work: [tex]P=\frac{J}{s}[/tex]
Then if the volume were 3.5 greater, than the Work of Pump will be 3.5 less than before, around 68.75 J
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calculate the velocity at time 2.1 s for a ball thrown straight up with an initial velocity of 15.0 m/s. take the point of release to be y0
Answer:
v = -5.38 m/s
Explanation:
can be calculated using the kinematic equation for vertical motion under constant acceleration (gravitational acceleration):
v = v_0 + a * t
v = 15.0 m/s + (-9.8 m/s^2) * 2.1 s
= 15.0 m/s - 20.38 m/s
= -5.38 m/s
let m be a square upper triangular matrix (as defined in exercise 12 of section 1.3) with nonzero diagonal entries. prove that the columns of m are linearly independent.
Let M n stand for an n-dimensional upper triangular square matrix. On n, we apply induction. There is no evidence to support the null hypothesis for n = 1. Assume that the assertion is accurate for n 1 and n > 1.
What is accurate ?
English language learners The definition of exact is the absence of faults or mistakes and the capacity to provide correct outcomes. view the definition of accurate in the Learner's Dictionary for English Language Learners.
What does accurate proofreading mean?
being diligent; acting or acting with care and accuracy: a thorough proofreader. [Latin: accrtus, done with care; accrre, to do with care] Ad-, ad- + crre, to care for (form cra, care; see cure) Accuracy (noun) Fifth Edition of the American Legacy® Lexicon of the English Language.
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Two city buses are traveling at 24 miles per hour. The buses are the same model and year. One bus has 30 passengers. The other bus has 12 passengers. Which is the best prediction?
A. The buses’ kinetic energies will depend on their routes.
B. The bus with 12 passengers will have less kinetic energy.
C. The bus with 30 passengers will have less kinetic energy.
D. The buses will have the same amount of kinetic energy.
The bus with 12 passengers will have less kinetic energy.
option B.
What is kinetic energy?The kinetic energy of an object is the energy possessed by an object due to its motion.
Mathematically, the formula for kinetic energy is given as;
K.E = ¹/₂mv²
where;
m is the mass of the objectv is the speed of the objectThe bus with greater number of passengers will have more kinetic energy and vice versa.
Thus, the bus with 12 passengers will have less kinetic energy and the bus with 30 passengers will have more kinetic energy.
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g determine quantities for the following circuit: a. the total resistance of the entire circuit b. the total current through the resistors c. the voltage drop across each resistor
(A) The total resistance of the circuit is 12 ohms.
(B) The total current flowing in the circuit is 0.5 A.
(C) The potential difference across R1 is 3.6V.
The resistance of two resistors connected in parallel can be calculated using the formula: [tex]1/R_{parallel} = 1/R1 + 1/R2[/tex]
In this case, the resistance of R2 and R3 connected in parallel is [tex]R_{parallel} = 1 / (1/8 + 1/12) = 1 / (0.125 + 0.083) = 1 / 0.208 = 4.8 ohms[/tex]
This 4.8 ohms resistor is then connected in series with R1 (7.2 ohms), and the total resistance of the circuit can be calculated as
[tex]R_{total} = R1 + R_{parallel} = 7.2 + 4.8 = 12 ohms[/tex]
The total current flowing through the circuit can be calculated as
[tex]I = V / R_{total} = 6V / 12 ohms = 0.5 A[/tex]
The voltage across R1 can be calculated as
[tex]V_{R1} = IR1 = 0.5A * 7.2 ohms = 3.6V.[/tex]
Therefore, the total resistance of the circuit is 12 ohms, the total current is 0.5 A, and the voltage across R1 is 3.6V.
Complete question:
In the circuit diagram given below, find:
(A) total resistance of the circuit,
(B) total current flowing in the circuit, and
(C) the potential difference across R1
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Particle motion DEPENDENT MULTI-PART PROBLEM - ASSIGN ALL PARTS NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. The acceleration of a particle is defined by the relation a= k (1-e-x), where k is a constant. The velocity of the particle V +9 m/s whenx3 m and it comes to rest at the origin. Problem 11.021.b -Obtaining velocity from a position-dependent acceleration by integration etermine the velocity of the particle when x=-2 m. he velocity of the particle is -13.58 m/s
If the velocity of the particle when x=-2 m. The velocity of the particle is +4.70 m/s.
Velocity is a measure of the rate at which an object changes its position in a given direction. It is a vector quantity, meaning that it has both magnitude and direction. The magnitude of velocity is the speed of an object, and the direction is the path that the object takes. In physics, velocity is defined as the rate of change of an object's position with respect to time. It is expressed mathematically as the derivative of position with respect to time, or v = dx/dt.
The velocity of a particle can be constant, meaning that it moves at a constant speed in a straight line, or it can be changing, meaning that the speed or direction of the particle is changing. For example, a car traveling down a road at 60 miles per hour has a constant velocity. However, if the car slows down, its velocity is changing, and if it turns a corner, its velocity is changing in direction as well.
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Which of the following scientists is most directly responsible for ushering in the communications age in the 20th century?
Galileo
Newton
Maxwell
Michelson
Carnot
James Clerk Maxwell is most directly responsible for ushering in the communications age in the 20th century.
He developed a set of equations that described the behavior of electric and magnetic fields and their interactions with each other. These equations, known as Maxwell's equations, form the foundation of our understanding of electromagnetism and helped pave the way for many of the technological advancements in the fields of communications and electronics in the 20th century. The concept of electromagnetic waves, which Maxwell described in his equations, is the basis for our modern-day technologies like radio, television, and cell phone communication. Therefore, Maxwell's work is considered a cornerstone of the communications age and his contributions are greatly valued in the field of physics.
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a 12v battery delivers 3.5A at 10.95. Determine the internal Resistence of cell.
According to Ohms law, the resistance in a circuit is the ratio of its voltage to the current across the circuit. The resistance of the circuit with 12 v and 3.5 A current is 3.4 ohms.
What is Ohm's law?Ohm's law is one of the fundamental law in physics. It states that, the voltage over a circuit is the product of the resistance and current through the circuit.
hence, V = IR
Therefore, the voltage through a circuit is directly proportional to the current and resistance through the circuit. As the resistance increases, current through the circuit decreases.
The voltage in the cell = 12 V
current I = 3.5 A.
then internal resistance R = V/I
R = 12/3.5 = 3.4 Ω
Therefore, the resistance in the cell is 3.4 ohms.
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a river flows with a uniform velocity v. a person in a motorboat travels 1.52 km upstream, at which time a log is seen floating by. the person continues to travel upstream for 91 min at the same speed and then returns downstream to the starting point, where the same log is seen again. find the flow velocity of the river. assume the speed of the boat with respect to the water is constant throughout the entire trip. (hint: the time of travel of the boat after it meets the log equals the time of travel of the log.) answer in units of m/s
The uniform velocity of the log relative to the river is 3.04 km/182 min = 0.017 km/min.
What is speed?The pace and direction of an object or particle's movement are described by the vector quantity known as velocity. It consists of two elements: direction and speed.
motorboat is v + u
u is the speed
the person travels 1.52 km upstream
total distance covered by the motorboat is 1.52 km x (v + u).
The time taken by the person to travel upstream is 91 min. Therefore, the total time taken by the motorboat to cover the round trip (upstream + downstream) is 182 min.
total distance covered by the motorboat during the round trip is 3.04 km x (v + u).
the distance covered by the log during the round trip is also 3.04 km.
Therefore, the velocity of the log relative to the river is 3.04 km/182 min = 0.017 km/min.
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All forces on the bullets cancel so that the net force on a bullet is zero, which means the bullet has zero acceleration and is in a state known as _____
The jet car is originally traveling at a velocity of 10 m/s when it is subjected to the acceleration shown. When t = 0, s = 0. Suppose that a1 = 5.5 m/s2 , a2 = -3.5 m/s2 , and t′′ = 15 s
a. The car's maximum velocity is 92.5 m/s.
b. The time t' when the car stops is 41.429 s.
The question is not complete. A similar question is in the attachment. A jet car has acceleration, so the car moves in a non-uniform motion. The formula to calculate the final velocity in non-uniform motion
v₂ = v₁ + at
v₁ = initial velocity (m/s)a = acceleration (m/s²)t = time (s)v₂ = final velocity (m/s)Look at the picture. First part from t = 0 to t"
v₁ = 10 m/sa = a₁ = 5.5 m/s²Second part, from t" to t'
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graphing calculator is recommended. If a rock is thrown upward on the planet Mars with velocity 14 m/s; its height in meters seconds later is given y = 14t 1.86t2. (Round your answers to two decimal places (a) Find the average velocity (in m/s) over the given time intervals_ [1, 2] m/s [1, 1.5] mls [1, 1.1] mjs [1, 1.01] m/s [1, 1.001] mls (b) Use your answers from part (a) to estimate the instantaneous velocity of the rock (in m/s) when t = 1 m/s
A). The average velocity (in m/s) over the given time intervals is 7.94 m/s.
B). This value is the instantaneous velocity of the rock at t = 1 s, which is approximately 7.94 m/s.
The average velocity of the rock can be found using the formula: average velocity = (final position - initial position) / (final time - initial time).
(a) [1, 2] s: average velocity = (14(2) - 14(1) - 1.86(2^2) + 1.86(1^2)) / (2 - 1) = 4.14 m/s
[1, 1.5] s: average velocity = (14(1.5) - 14(1) - 1.86(1.5^2) + 1.86(1^2)) / (1.5 - 1) = 5.61 m/s
[1, 1.1] s: average velocity = (14(1.1) - 14(1) - 1.86(1.1^2) + 1.86(1^2)) / (1.1 - 1) = 7.31 m/s
[1, 1.01] s: average velocity = (14(1.01) - 14(1) - 1.86(1.01^2) + 1.86(1^2)) / (1.01 - 1) = 7.88 m/s
[1, 1.001] s: average velocity = (14(1.001) - 14(1) - 1.86(1.001^2) + 1.86(1^2)) / (1.001 - 1) = 7.94 m/s
(b)This value is the instantaneous velocity of the rock at t = 1 s, which is approximately 7.94 m/s.
Average velocity is a measure of the overall rate of motion of an object over a certain time period. It is different from average speed, which is a measure of the total distance traveled over a certain time period. Average velocity takes into account not only the distance traveled, but also the direction of motion.
Average velocity is calculated by dividing the change in position (displacement) by the time interval over which the motion occurs. It is expressed in units of distance per unit time, such as meters per second or miles per hour. The formula for average velocity is given by v = Δx / Δt, where Δx is the change in position and Δt is the change in time.
Average velocity is commonly used in physics and engineering to determine the motion of objects in one-dimensional systems, such as along a straight line. For example, the average velocity of a car traveling from one location to another can be determined by measuring the change in its position over a certain time period.
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