Administrative distance and metric are two key concepts in routing that help routers determine the best path to a destination. Administrative distance is a numerical value assigned to each routing protocol that indicates the trustworthiness of a particular route.
The administrative distance is a measure of how reliable a particular routing protocol is, with lower values indicating a more reliable protocol.
Metric, on the other hand, is a numerical value that represents the cost of a particular route. The metric is used to compare the various routes to a destination and determine which is the best path. The metric is calculated based on factors such as hop count, bandwidth, delay, and other attributes of the route.
The first statement, "Administrative distance refers to the trustworthiness of a particular route," is correct. The second statement, "A router first installs routes with higher administrative distances," is also correct. This means that if there are multiple routes to a destination, the router will choose the route with the lower administrative distance.
The value of the administrative distance can be altered by the network administrator, so the third statement, "The value of the administrative distance cannot be altered by the network administrator," is incorrect.
The fourth statement, "Routes with the smallest metric to a destination indicate the best path," is correct. The metric is used to determine the best path to a destination, with smaller metrics indicating a better path.
The fifth statement, "The metric is always determined based on hop count," is not necessarily true. The metric can be determined based on a variety of factors, including hop count, bandwidth, delay, and other attributes of the route.
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which one of the following statements is/are correct? more than one statement may be correct. (note: canvas will deduct points for incorrect answers) group of answer choices the number of electric field lines is proportional to the charge that creates the electric field. the electric field lines go out of a positive charge and into a negative charge. the electric field is stronger where field lines are further apart. electric field lines indicate the direction of the force due to the given electric field on any test charge. the electric field vector is tangent to the electric field line at each point.
The correct statements are:
1.The electric field lines go out of a positive charge and into a negative charge.
2.Electric field lines indicate the direction of the force due to the given electric field on any test charge.
3.The electric field vector is tangent to the electric field line at each point.
The correct statements are:
1.The electric field lines go out of a positive charge and into a negative charge.
2.Electric field lines indicate the direction of the force due to the given electric field on any test charge.
3.The electric field vector is tangent to the electric field line at each point.
These statements are all true, but it's important to note that the number of electric field lines is not necessarily proportional to the charge that creates the electric field. Also, the spacing of the electric field lines can give an indication of the strength of the electric field, but it is not a definitive measure of it.
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can we change one or more of the quantities r, f, or in such a way that we are sure that the torque remains unchanged?
Yes, if we decrease r and increase F by the same quantity or vice versa then the torque remains unchanged.
Torque is defined as the cross product of the force vector and radius vector.
T = r × F
Now for the magnitude;
T = (r)(F) sinθ (where θ is the angle between r and F)
If the angle between r and F is 90 i.e. perpendicular to each other then,
T = (r)(F)
Now if we increase radius(r) by 'x' times and decrease force(F) by 'x' times or vice versa then the quantity torque of the body remains constant.
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steve races to the nearest taco stand at lunchtime and sees that his pedometer recorded his peak speed at 105.1 105.1 cm/s. what was steve's peak speed in kilometers per hour?
Steve's peak speed after applying a unit conversion from centimeters per second to kilometers per hour is 3.78 km/h
A unit conversion is when one unit of measurement is converted into another unit of measurement to convey the same property. For example, time can be expressed in minutes rather than hours, and miles can be converted to kilometers, feet, or any other unit of length measurement. Likewise, distance can be expressed in any unit of length measurement.
In this case, we are going to convert speed from centimeters per second to kilometers per hour.
1 centimeter per second equal to 0.036 kilometers per hour.
speed = (105.1 x 0.036) km/h
speed = 3.78 km/h
Thus, Steve’s peak speed would be 3.78 km/h
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iven the budget line in the previous question (recall: p1 = 10, p2=4, income = 100), and given a consumer with preferences represented by the following utility function:
The budget line can be graphed by plotting the two intercepts and connecting them. The two intercepts can be found by setting x2 = 0 and x1 = 0 and solving for x1 and x2 based on the budget constraint.
x1 = income / p1 = 100 / 10 = 10
x2 = income / p2 = 100 / 4 = 25
Thus, the two intercepts are (10, 0) and (0, 25). The slope of the line is -p2/p1 = -4/10 = -2/5.
To find the optimal choice of x1, we need to find the utility-maximizing combination of x1 and x2. The utility function given is U(x1,x2) = (x1)^1/4(x2)^3/4. We can use this to find the marginal utility of each good, and set them equal to each other to find the optimal combination of the two goods.
MUx1/MUx2 = Px1/Px2 = 10/4
x1/x2 = 10/4
x2 = 4x1/10
Substituting this expression for x2 into the budget constraint:
p1x1 + p2(4x1/10) = income
10x1 + 4(4x1/10) = 100
10x1 + 1.6x1 = 100
11.6x1 = 100
x1 = 100/11.6 = 8.62
Thus, the consumer chooses to buy 8.62 units of good 1 when maximizing utility.
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does the frequency distribution appear to have a normal distribution? explain.
Yes. The frequency distribution appear to have a normal distribution.
In a normal distribution, data is symmetrically distributed with no skew. When plotted on a graph, the data follows a bell shape, with most values clustering around a central region and tapering off as they go further away from the center. Normal distributions are also called Gaussian distributions or bell curves because of their shape. All kinds of variables in natural and social sciences are normally or approximately normally distributed.The mean is the location parameter while the standard deviation is the scale parameter.The mean determines where the peak of the curve is centered. Increasing the mean moves the curve right, while decreasing it moves the curve left.To know more about frequency visit:
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A rock is thrown straight upward. Neglect air resistance. What is the direction of its acceleration as it is rising?a. The acceleration is zerob. Downward c. Upward
Neglecting air resistance the direction of acceleration of a rock thrown straight upward is upward.
The acceleration of the rock as it is rising is upward. This is due to the force of gravity acting on the rock, which is constantly pulling it down toward the ground. As the rock moves upward, the force of gravity is still pulling it down, so the acceleration of the rock is also in the downward direction. However, since the rock is moving upwards, the acceleration is in the opposite direction of the force of gravity, so the acceleration of the rock is actually upward.
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in a 4-pole, 60 hz, 200v inudction motor having a full-load current of 350 a, torque developed is 700 n-m. what is the approximate speed of the motor
The approximate speed of the motor is 1800 RPM.
To determine the approximate speed of the motor, we can use the formula:
Speed (in RPM) = (120 x Frequency) / Number of Poles
The speed of the motor is calculated by the ratio of the product of 120 and frequency by the number of poles. the speed is measured in rotation per minute.
Given information:
Frequency (f) = 60 Hz
Number of Poles (p) = 4
Using the formula, the speed will be calculated as:
Speed = (120 x 60) / 4
Speed = 1800 RPM
Therefore, the approximate speed of the motor is 1800 RPM.
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vector has a magnitude 5.00 and points in a direction 50.0° counterclockwise from the positive x axis. what are the x and y components of vector .
The components of x and y of the vector are calculated to be 3.22 and 3.8 respectively.
Let the vector be V.
Magnitude of |V| is given as 5 units
Angle θ is given as 50°.
The magnitude of the horizontal and vertical components are gotten by the formula below,
Vx = V cosθ
Vy = V sinθ
Putting in the known values into the above equations,
Vx = 5 cos50° = 5 × 0.64 = 3.22
Vy = 5 sin50° = 5 × 0.76 = 3.8
As cos50° and sin50° lie in the first quadrant, their values are positive.
Thus, the x and y components of vector are calculated to be 3.22 and 3.8 respectively.
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What is the current in the circuit?
Current is the rate at which electrons move through a specific area of an electrical circuit. Simplest definition of current is flow. An ampere, which is pronounced "amp," is the standard measurement unit for current (AM-pir).
Describe a fundamental electrical circuit.A power source, electric conductors and wires, a switch, and electrical load components like a lightbulb make up a basic electric circuit. There are two main categories of electrical circuits: parallel and series circuits. Electrical components are connected as a chain in series circuits.
What different types of circuitry are there?Close Circuit, Wide Circuit, Long Circuit, Important Structural, and Parallel Circuit are the five main types of circuits. A conductive conduit of electricity or electricity has been created for each group.
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draw the electric field vectors due to q1 and q2 at p.
The magnitude of electric field due to charge Q2 at point P would be 1.8 × 10⁵. N/C. The figure of the electric field vectors due to q1 and q2 at p is attached.
What is Electric field?An electric field is a field of force that exists in the space around an electrically charged object, and can be thought of as the space around a charged object where other charged objects will experience a force due to the presence of the first charged object. The electric field is defined as the force per unit charge, and is represented mathematically as a vector field, with direction and magnitude determined by the charge distribution and the position of the test charge.
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The figure and complete question is as follows:
what is the length (in cm) of a pendulum that has a period of 0.755 s?
The length of the pendulum in cm when period is given is calculated to be 14 cm.
The period of pendulum is given as 0.755 s.
The length of the pendulum is to be found out.
We know the expression for time period as,
T = 2π √(l/g)
where,
T is time period
l is length
g is acceleration due to gravity
The value of g is 9.81 m/s².
Making l as subject, we have,
T = 2π √(l/g)
T/2π = √(l/g)
√(l/g) = T/2π
l/g = T²/4π²
Length of the pendulum l = (T²×g)/4π² = (0.755² × 9.81)/4π² = (0.57× 9.81)/39.44 = 5.59/39.44 = 0.14 m = 14 cm
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calculate the change of free energy expressed in kj.mol-1) for the hydrolysis of atp in both tissues. note: the reactions in tissues occur at 37°c.
The change in free energy for the hydrolysis of ATP can be calculated using the equation ΔG = ΔH - TΔS, where ΔG is the change in free energy, ΔH is the change in enthalpy, T is the temperature in Kelvin, and ΔS is the change in entropy.
To calculate ΔG for the hydrolysis of ATP in tissues at 37°C, the values of ΔH and ΔS must be known. At 37°C, the temperature must be converted to Kelvin (T = 37 + 273 = 310 K).
The specific values of ΔH and ΔS are required to determine the ΔG for the hydrolysis of ATP in tissues and can be obtained from thermodynamic databases or literature. Without these values, the ΔG cannot be calculated.
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what are the magnitude and direction of the rock's velocity at impact
The magnitude and direction of the rock's velocity at impact is - 50 deg or 50 deg below the horizontal.
vx = v0x = 25
cos35 = 20.5 m/s
vy = v0y + ay
t = (25 sin35) + (-9.8 x 3.96)
vy = -24.5 m/s
magnitude = sqrt(vx^2 + vy^2)
= 31.9 m/s
direction = tan^-1(vy /vx)
= - 50 deg or 50 deg below the horizontal.
Take the height and multiply it by the acceleration caused by gravity twice before taking the square root of the result to determine the impact velocity. As illustrated in Figure 4.12, the magnitudes of the components of velocity v v are v x = v cos and v y = v sin, v x = v cos and v y = v sin, where v is the magnitude of the velocity and is its direction with respect to the horizontal.
Question
A Large Rock Is Ejected From The Volcano With A Speed Of 25.0 M/S And At An Angle 35.09 Above The Horizontal. The rock Strikes the side of the volcano at an altitude 20.0 m lower than its starting point. What are the magnitude and direction of the rock's velocity at impact?
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An electron enters the region with u=3*10^6 m/s and E=200N/C. The horizontal length of the plate is 0.1m.
Find
a. The wavelength of the electron while it is in the electric field
b. If the electron enters the field at time,t=0.find the time at which it leaves the field C. If the vertical position of the electron as it enters the field is yi=0, what is the vertical position when it leaves the field?
When an electron leaves the field, its vertical position is the same as when it entered the field, with yi = 0.
The electron is what?A subatomic particle is the electron. All atoms contain it, and its electric charge is negative. The outermost electron shell of an atom is made up of electrons, the smallest known particle. Electrons are responsible for all electrical circuits' electric current and many of the chemical properties of atoms. They also play a role in chemical, magnetic, and electrical forces and are the building blocks of matter. The Bohr radius, which is approximately 0.53 ngströms, is the standard unit of measurement for electrons because of their extremely small size.
Evaluating :A. The formula for the electron's electric field wavelength is = h/(2mE), where h is the Planck constant and m is the electron's mass.
As a result, the wavelength is = 6.63 x 10⁻³⁴/(2 x 9.1 x 10⁻³¹ x 200)
= 1.82 x 10⁻¹⁰ m.
B. The time it takes for the electron to traverse the electric field is calculated as :
t = L/u,
where L is the plate's length.
As a result, the time at which the electron leaves the field is
t = 0.1/3 x 10⁶
= 3.33 x 10⁷ s.
The electron is in the same vertical position as it was when it entered the field, yi = 0.
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if a satellite is orbiting earth at constant speed, select one: a. its orbit is unbound. b. its orbit is an elongated ellipse. c. its orbit is circular. d. it is just under its escape velocity.
Answer:
The ball was thrown from a height that can be calculated using the kinematic equation:
h = vi * t + 0.5 * a * t^2
Where:
h = height from which the ball was thrown
vi = initial vertical velocity = 0 m/s (thrown horizontally)
a = acceleration due to gravity = -9.8 m/s^2
t = time taken to hit the ground
We can use the horizontal distance traveled, d = 36.31 m, to calculate the time:
d = vi * t
t = d / vi
t = 36.31 / 29.59
Now we can use t to find h:
h = vi * t + 0.5 * a * t^2
h = 0 * t + 0.5 * (-9.8) * t^2
h = 4.8 * t^2
h = 4.8 * (36.31 / 29.59)^2
h = 10.76 m
So, the ball was thrown from a height of 10.76 m.
Explanation:
How to convert 132 pounds to kilograms?
132 pounds are converted to kilograms. 59.8742 Formula= Divide the pertinent by 2.205 to get an approximation.
How do you use the pounds to kg conversion formula?
Add 0.45359237 kg to the given number of pounds to convert it to kilograms. For instance, multiply your given 5 pounds by 0.45359237 kg to translate 5 lbs to kilograms. Consequently, 5 lbs is roughly equivalent to 2.26796185 kg.
What is the quickest conversion factor between pounds and kilograms?
To use the conventional equation, multiply the amount of pounds by 2.2046. To convert pounds to kilograms, for instance, divide 50 by 2.2046; the result is 22.67985 kg. Divide 200 pounds by 2.2046 to get kilograms, which equals 90.71940 kg.
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An experiment requires that enough C5H12O be used to yield 19.7 g of oxygen. How much C5H12O must be weighed out?
The balanced equation for the combustion of pentanol (C5H12O) is:
C5H12O + 8O2 -> 5CO2 + 6H2O.
The equation tells us that for every 1 molecule of C5H12O that is burned, 8 molecules of oxygen are produced. So, if we want to produce 19.7 g of oxygen, we'll need 19.7 g / (16 g/mol) = 1.23 mol of O2.
Therefore, we'll need 1.23 mol / (8 mol O2/mol C5H12O) = 0.154 mol of C5H12O.
Finally, to find the mass of C5H12O, multiply the number of moles by the molar mass: 0.154 mol * (88 g/mol) = 13.532 g of C5H12O.
So, to produce 19.7 g of oxygen, we need to weigh out 13.532 g of C5H12O.
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How much is 43 degrees Fahrenheit in Celsius?
We may determine that 43°F is equivalent to 6°C using the formula.
What is Celsius?The global standard for measuring temperature is Celsius, sometimes known as centigrade. Anders Celsius, a Swedish astronomer, first used it in 1742. The freezing point of water is 0° on the Celsius scale, and the boiling point of water at standard atmospheric pressure is 100°. The most common temperature scale in use worldwide, it is utilised for scientific purposes.
How do you determine it?The formula used is,
C = (F - 32) * 5/9
Where F and C are the Fahrenheit and Celsius temperatures, respectively.
The difference between the zero points and increments on the Fahrenheit and Celsius scales means that a temperature reading on one scale will not have an exact equal on the other. While the Celsius scale is widely used and is thought to be the norm for most scientific purposes, the Fahrenheit scale is mostly used in the United States.
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What is Parallel Axis Theorem?
The same axis theorem, which was developed by Christiaan Huygens & Jakob Steiner and is often known as the Huygens-Steiner theorem or simply as Steiner's theorem, can be applied.
What does the parallel axis theorem imply?
By using the object's center of gravity, the parallel column theorem can be used to rotational inertia of an area of a solid body whose direction is parallel of the known minute body.
What do the concepts of parallel and perpendicular axes theorems mean?
The parallel line theorem states that a body's time of inertia about any shaft is equal to the product of its inertial moment about its parallel axis through its center of gravity, its mass, and also the cube of the perpendiculars between its two axes.
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When 5.00 grams of ammonium chloride, NH4Cl, is added to 100. mL of water the temperature drops by 4.2°C, how much would the temperature change if 10.0 grams is added to 1000 mL of water?
The specific heat capacity of water is 4.184 J/g°C.
define temperature ?
Temperature is a measure of the thermal energy of a system. It reflects the average kinetic energy of the particles in a substance and determines its thermal state. The common unit of temperature measurement is degree Celsius (°C) or Kelvin (K).
The temperature change depends on the heat absorbed or released in the reaction, which can be calculated using the equation q = mcΔT, where q is the heat absorbed or released, m is the mass of the substance, c is its specific heat capacity, and ΔT is the change in temperature. The specific heat capacity of water is 4.184 J/g°C. To calculate the change in temperature, we need to determine the heat absorbed or released in the reaction. However, this information is not provided, so I cannot determine the temperature change.
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how many variables should there be in a well-designed experiment?
The answer is One, so you can determine a cause and effect relationship between the variable you are changing and the observed response.
A well-designed experiment can involve many variables, including the type of experiment, the number of participants, the type of material being tested, and the conditions of the experiment. change is the variable you are changing. The effect is the observed response.
Experimental conditions can be controlled by the researcher. For example, a study of the effects of diet on heart health can be controlled by measuring the effects of different diets on heart health under different conditions.
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find the ratio of the magnitudes of the electrical and the gravitational forces acting between a proton and an electron separated by an arbitrary distance d.
Finding the ration of the electric force to gravitational force ( -) between a proton and an electron separated by an arbitrary distance d.
Taking the masses of proton and electron respectively as:
mp= 1.67× 10⁻²⁷ kg
me= 9.11 × 10⁻³¹kg
Fe=1/4π∈o×e²/d²
Fg= G×mp×me/d²
, the ratio of the two forces is calculated as:
Fe/Fg= (1/4π∈o×e²/d²) / (G×mp×me/d²)
Fe/Fg= (1/4π∈o×e²) / (G×mp×me)
=9x10^9 ×(1.6 x 10^-19 C)²
=6.67 X 10⁻¹¹×1.67×10⁻²⁷kg x 9.11 x 10⁻³¹
≈ 2.27 × 10³⁹
Electric forceThe electric force is the force experienced by a charged object that is in an electric field. The formulation of the electric force is sometimes confused with Coulomb's law, even though the electric force is more general in nature than this law, which only works for two point charges.
Electric force formulaElectric force, as is generally the case, is denoted by the letter F or usually given a small index under E (electric) or L (electricity).
F=qE
with:
q : is the payload of the object
E: is the electric field
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Generally, the lunar phases are named after the shape of the sun's reflection on the moon that we can see. The quarter moon is an exception. It's sometimes called a half moon, because that's what it looks like. The phases are also named according to whether the moon is getting bigger or smaller each day. When the shape of the moon seems to be growing larger, we say that it's waxing. When the shape of the moon seems to be getting smaller, we say that it's waning.
Although there are five different ways to describe the shape of the moon (full, gibbous, quarter, crescent and new) there are officially eight phases of the moon. The descriptors "waning" or "waxing" are added to three of the moon phases to specify if the moon is getting bigger or smaller. There's waxing gibbous and waning gibbous, waxing quarter and waning quarter, and waxing crescent and waning crescent.
If a moon that looks half full is on its way to increasing into a full moon, it is called a
answer choices
waxing quarter
waning quarter
waning gibbous
waxing gibbous
If a moon that looks half full is on its way to increasing into a full moon, it is called a waxing quarter.
The lunar phase or moon phase refers to the shape of the moon appearing as directly sunlit portion as viewed from the Earth. It is expressed quantitatively using areas or angles, and qualitatively using the terminology of the four major phases and four minor phases.
The four major phases are new moon, first quarter, full moon and third quarter. The four minor phases are crescent, gibbous, waxing, and waning. The quarter moon phase is also called half-moon phase the moon it half of the moon is lit by sunlight. Waxing moon refers to the phase when the moon is increasing to becoming a full moon. Hence, if a moon that looks half full is on its way to increasing into a full moon, it is called a waxing quarter.
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What is the spinning cylinder called when it is tipped up?
A
Semitornado
B
Mesocyclone
C
Supertwister
D
Water spout
The spinning cylinder is called a vertical mesocyclone, when it is tipped up. Hence, option B is correct.
What is a mesocyclone ?A mesocyclone is a meso-gamma mesoscale zone of rotation (vortex) that normally has a diameter between 2 and 6 mi (3.2 and 9.7 km) and is most frequently seen on radar during thunderstorms.
The most powerful and hazardous thunderstorms, known as supercells, include mesocyclones. Compared to "spin-up tornadoes," which occur in some events, supercells remain a lot longer.
Hail is produced by supercells 100% of the time, while tornadoes occur around 30% of the time. These storms are thunderstorms that rotate.
Often, before a tornado touches down, a hail core and heavy rain pass by as a forerunner and warning. Here, the tipped up spinning cylinder forms a mesocyclone.
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Calculate the distance d from the center of the earth at which the force on a particle from the moon is equal to 1.24 times the force on the particle from the earth. The particle is restricted to the line through the center of the earth and the moon.
The distance of the particle from the center of the Earth is 3.42×10⁵ km, so the force on the particle due to moon is 1.24 times the force on the particle due to the Earth.
Let the mass of the Earth, = M₁
Let the mass of the moon, = M₂
Let the mass of the particle = m
Distance between the Moon and the Earth, d = 384000 km
Let the distance of the particle from the center of the earth, = d
Force on the particle due to the Earth, = GM₁m/d²
Force on the particle due to the Moon, = GM₂m/(384000-d)²
1.24 × GM₁m/d² = GM₂m/(384000-d)²
We know Earth's mass is 81 times as that of the moon. M₁ = 81M₂
1.24 × 81M₂/d² = M₂/(384000-d)²
100.44/d² = 1/(384000-d)²
1.475×10¹³ + 100.44d² - 77.14×10⁶d = d²
99.44d² - 77.14×10⁶d + 1.475×10¹³
On solving d = 4.34×10⁵ km & 3.42×10⁵ km
As 4.34×10⁵ km distance is more than the distance between the Earth and the Moon. So, taking the location of the particle between the Earth and the moon, d = 3.42×10⁵ km
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a series r l circuit is connected to a voltage source given by vs(t) = 150cosωt (v). find (a) the phasor current i(t), and (b) the instantaneous current i(t) for r = 400 ω, l = 3mh, and w = 105 rad/s.
A) the phasor current can be found by dividing the phasor voltage by the impedance:
I = V_s / Z = 150 / (400 + j(105 * 3 x 10^-3)) = 0.375 / (1 + j0.315) A.
B) the instantaneous current for the given circuit is:
i(t) = 0.375 * cos(105t + θ) A.
A series RL circuit connected to a voltage source with an equation of vs(t) = 150cos(ωt) (V) can be analyzed using the following steps:
(a) Phasor Current:
The phasor current can be found by dividing the phasor voltage by the impedance of the circuit. The impedance is given by Z = R + jwL, where j is the imaginary unit, R is the resistance, w is the angular frequency, and L is the inductance.
For the given circuit, R = 400 Ω, L = 3 mH = 3 x 10^-3 H, and w = 105 rad/s. The phasor voltage can be found by taking the phasor representation of the voltage source, which is given by V_s = 150 V.
So, the phasor current can be found by dividing the phasor voltage by the impedance:
I = V_s / Z = 150 / (400 + j(105 * 3 x 10^-3)) = 0.375 / (1 + j0.315) A.
(b) Instantaneous Current:
The instantaneous current can be found by taking the inverse Laplace transform of the phasor current. The inverse Laplace transform of the phasor current is given by:
i(t) = Re{I * e^j(ωt + θ)},
where Re{} denotes the real part of the expression, and θ is the phase angle of the phasor current.
So, the instantaneous current for the given circuit is:
i(t) = 0.375 * cos(105t + θ) A.
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A 0. 36 kg object, attached to a spring with spring constant k = 10 n/m, is moving on a horizontal frictionless surface in simple harmonic motion of amplitude of 0. 082 m. What is its speed at the instant when its displacement is 0. 041 m? (hint: use conservation of energy. ).
Its speed at the instant when its displacement is 0. 041 m is 0.4321 m / s
Utilizing energy efficiency at two locations the place of interest and the furthest point of greatest elongation
Maximum initial elongation
Em₀ = K= ½ k x²
k=Force constant
K= energy
x= Spring displacement
we know, x = A = 0.082 m.
Final point of interest
Em= Ke = ½ m v²
Energy is conserved
Em₀ = Em
½ k A² = ½ m v²
v² = k / m A²
v = √(k/m) A
Then we can calculate
v = √(k/m) A
v = √ (10 / 0.36) 0.082
v = 0.4321 m / s
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test for convergence/divergence using a comparison test: • â n=1 n 2n n 3n .
To test for convergence/divergence using a comparison test, you need to compare the series in question with another series that is known to converge or diverge. In this case, we can compare the series a_n = n^2 / (2^n * 3^n) with the series b_n = 1/n^2. Since b_n converges, and |a_n| <= |b_n| for all n, we can conclude that a_n also converges.
To test for convergence or divergence of the series ∑a(n) = n^2/(2n^3 + 3n), one common method is the comparison test. This involves comparing the terms of the given series to the terms of another known series and determine if the terms are decreasing or increasing. If the terms of the given series are less than the terms of the known series and both series converge or diverge, then the given series will also converge or diverge. If the terms of the given series are greater than the terms of the known series and both series diverge, then the given series will also diverge. Based on this test, the series ∑a(n) may converge or diverge, further analysis is needed.
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the earth ground resistance at the base of a transmission tower is 2 s. if the tower is struck by a lightning bolt of 20 000 a, what power will be dissipated in the ground?
The power that dissipated in the ground is 800MW.
Resistance is the opposition that a material or device offers to the flow of electric current, usually expressed in ohms. Resistance is a key element in the operation of electrical circuits and electronic devices, as it is used to regulate the amount of current in a circuit. The pace at which electrical energy is transported over an electric circuit is known as power. The power dissipated in the ground can be calculated using Ohm's law (P = I²R), where P is the power, I is the current, and R is the resistance. In this case, the power dissipated in the ground is equal to
P= (20 000 A)² × (2 Ω) = 800 000 000 W ( [tex]800 MW[/tex]).
This means that the lightning strike will dissipate 800 MW of power into the ground.
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A 3,000 kg truck moving at +10 m/s hits a 1,000 kg parked car which moves off at +15 m/s. What is the velocity of the truck?.
The velocity of the truck is 5m/s.
Given:
m1 = 3000 (mass of truck)
m2 = 1000 (mass of car)
u1 = 10m/s( initial velocity of truck)
u2=0 (initial velocity of the car)
v1 = ? (final velocity of the truck )
v2 = =15m/s (final velocity of the car)
The momentum of the system initially,
pi=m1u1+m2u2
[tex]pi = 3000 * 10 + 1000 * 0\\pi = 30000 + 0\\pi=30000[/tex]
We know that pi = pf
m1u1+m2u2=m1v1+m2v2
[tex]30000=3000v1+15000[/tex]
[tex]3000v1=30000-150003000v1=15000v1=15000/3000v1=5m/s[/tex]
What is conservation of momentum?
The conservation of momentum states that, within some problem domain, the amount of momentum remains constant; momentum is neither created nor destroyed, but only changed through the action of forces as described by Newton's laws of motion.
What is the formula law of conservation of momentum?
As a result, the equation of the law of conservation of momentum is as follows: m 1 u 1 +m 2 u 2 represents the total momentum of particles A and B before the collision, and m 1 v 1 +m 2 v 2 represents the total momentum of particles A and B after the collision.
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