A water main is to be constructed with a % grade in the north direction and a % grade in the east direction. Determine the angle required in the water main for the turn from north to east.
Answers
The angle between the two pipes is 88.88°
The objective is to find the angle between the vectors u and v.
First, construct the vectors u and v,
The water main with 20% grade in the north direction is,
20% = rise/ run
rise/run = 20/100 = 1/5
That is rise = 1 and run = 5
Hence, rise corresponds to the z- component, and run corresponds to the y-component to the vector u. There is no x-component in this direction since the vector does not go to the east at all.
Therefore, the vector
v = xi + yj + zk
Here x = 0, y = 5, z = 1
v = 0i +5j +k is parallel to the pipe in the north direction.
The water main with 10% grade in the east direction is,
10% = rise/run
rise/run = 1/10
Thus, rise =1 and run = 10
Hence, rise corresponds to the z-components, and run corresponds to the x-components to the vector v. There is no y-component in this direction since the vector does not go to the north at all.
Therefore, the vector
v = xi + yj + zk
Here x = 10, y = 0, z = 1
v =10i +0j + k is parallel to the pipe in the east direction.
The angle between two vectors is,
Ф= [tex]cos^{-1} \frac{u-v}{|u| |v|}[/tex]
The dot product of the two vector u and v is,
u.v = (0.5,1).(10,0,1)
= 0.10+5.0+1.1
=1
The magnitude of these two vectors is,
|u| =[tex]\sqrt{x^{2} + y^{2}+z^{2} }[/tex]
|u| = [tex]\sqrt{0^{2} + 5^{2} +1^{2} }[/tex]
=[tex]\sqrt{0+25+1}[/tex]
= [tex]\sqrt{26}[/tex]
|v| = [tex]\sqrt{x^{2} + y^{2} +z^{2} }[/tex]
|v| = [tex]\sqrt{0^{2}+5^{2} +1^{2} }[/tex]
= [tex]\sqrt{100+0+1}[/tex]
=[tex]\sqrt{101}[/tex]
Therefore, the angle between the two pipes is,
Ф = [tex]cos^{-1} \frac{u-v}{|u||v|}[/tex]
= [tex]cos^{-1}[/tex][tex]\frac{1}{\sqrt{26}\sqrt{101} }[/tex]
≈ 1.55rad
= 88.88°
Hence, the angle between the two pipes is 88.88°
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The complete question is:
A water main is to be constructed with a 20% grade in the north direction and a 10% grade in the east direction. Determine the angle required in the water main for the turn from north to east.
Related Questions
Two+rocket+ships+approach+a+space+station+at+80%+of+the+speed+of+light.+each+pilot+observes+the+other+ship+approaching+at+____+the+speed+of+light.
Answers
Two rocket ships approach a space station at 80% of the speed of light. Each pilot observes the other ship approaching at 98% the speed of light.
What is the "Fastest" Speed of Light?Light moves at a constant, finite speed of 186,000 miles per second. A traveler traveling at the speed of light would circumnavigate the globe 7.5 times in one second. In comparison, a traveler in a jet aircraft traveling at 500 mph would cross the continental United States once in 4 hours.The speed of light in a vacuum, denoted c, is a universal physical constant that is important in many fields of physics. The speed of light c equals 299,792,458 meters per second.The speed of light is shared by all forms of electromagnetic radiation, including visible light. Light and other electromagnetic waves appear to propagate instantly for many practical purposes, but their finite speed has noticeable effects over long distances and with very sensitive measurements. Starlight seen from Earth long ago left the stars, allowing humans to study the history of the universe by viewing distant objects.
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Why is it important to scientists for a hypothesis to be testable? How would the experiment differ if it were not? What is an example of each type? Write 3-5 sentences
Answers
The experiment wouldn't exist if the hypothesis were not testable, because, as it says, the hypothesis is untestable. Thus, no experiment can be done, and the hypothesis will always be neither true nor untrue because of lack of evidence either way.
the home owner report that sometimes the electric furnace trip the 240-v 60-a circuit breaker connected to it
Answers
The homeowner has reported that sometimes the electric furnace trips the 240-V, 60-A circuit breaker connected to it. Upon examination, it is found that the furnace contains three 5000-W heating elements designed to turn on in stages.
SolutionThe power rating of the circuit breaker = volt x current
= 240 x 60
= 14400 W
So, we have 3 units of 5000W each.
Explanation and RecommendationWhen the first unit is turned on, the consumption is 5000W and the circuit breaker does not trip. When two of the 5000W units are turned on, it adds up to a consumption of 10000W.
The circuit breaker is still intact. But when the 3rd 5000W unit is turned on, the consumption reached to 15,000W which is greater than the 14,400W mark, and thus the circuit breaker trips off.
So, switching on all three units at once can cause the circuit breaker to trip off.
So, the recommendation would be that at a particular time maximum of two units can be turned on.
Even such, the two units cannot be turned on in series or they won’t receive 240 V each.
Another recommendation would be to use a circuit breaker of a higher power rating, more than 15,000W so that there will be no tripping.
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3.if kiis 44 nm for (-)d9-thc and 4350 nm for cbd what is the binding free energy difference, in kj/mol?
Answers
The correct answer is 0.00981 kJ/mol.
Every object we encounter has a binding force, and the energy that holds them together is the binding energy. The binding energy is the least amount of energy necessary to remove an electron, proton, or neutron from the nucleus. A nucleus contains electrons and protons that are strongly bound by energy.
Free energy of binding can be calculated using formula, Gbinding = dE coluombic + dEvdw + dGhyd. -TdS where Evdw+Ecoulombic is protein ligand interaction, dGhyd is change in hydration energy.
dS is entropy. dG hydration is Gpolar+Gnon polar. Inhibition constants are given for CBD and
THC = 4350nm, and 44nM. So,
dG = Ki + Ki' = 44+4350 = 4394 and
in kJ/mol = NahC/4394 = (6.022x10^23x6.626x10^-34x3x10^8)/4394 = 0.00981 kJ/mol
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Consider a sample of gas that contains 775 moles of smokestack gas. how many molecules of so2 are contained in this sample?
2.04 x 10 12
Answers
The final result comes out to be 1.25 x 10¹² molecules. of so₂ contained in this sample .
This problem requests SO₂ molecules at equilibrium in exchange for a chemical process at equilibrium and its pressure-based equilibrium constant. The final result comes out to be 1.25 x 1012 molecules.
What are molecules ?[tex]K_{p}[/tex] = 1/([tex]PSO_{2}[/tex]×[tex]PO_{2}^{1/2}[/tex])
[tex]PSO_{2}[/tex] = [tex]9.17[/tex]×[tex]10^{-16} atm[/tex]
Thus, we obtain the mole fraction of SO2 as follows:
[tex]xSO_{2}[/tex] = [tex]4.37[/tex]×[tex]10^{-15}[/tex]
The moles of SO2 in the 475 moles of the gas mixture are calculated using this mole fraction, and the molecules are calculated using Avogadro's number.
molecules = 475 × [tex]4.37[/tex]×[tex]10^{-15}[/tex]×[tex]6.022[/tex]×[tex]10^{23}[/tex] = 1.25 x 10¹² molecules.
If they contain more than one, they may contain different atoms or the same atoms (for instance, an oxygen molecule has two oxygen atoms) (a water molecule has two hydrogen atoms and one oxygen atom). The number of atoms in biological compounds like DNA and proteins can reach thousands.
A molecule is the smallest unit of any material that is composed of one or more elements and is capable of existing independently while maintaining all of the substance's physical and chemical properties.
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2)
2H₂O → 2H₂ + O₂
Describe the mass of the reactants and products given the balanced chemical reaction.
Answers
Reactants are substances that are present at the beginning of a chemical reaction.
Products are the substance(s) to the right of the arrow. A substance that remains after a chemical reaction is complete is known as a product.
Consider the balanced chemical equation:
2H₂O → 2H₂ + O₂
Hydrogen and oxygen are the reactants, and water is the product in the balanced equation.
The reactants and product symbols and formulae are known from the aforementioned equation.
One oxygen molecule and two hydrogen atoms unite to form two water molecules.
The ratio of reactant to product is 2 : 1 : 2.
The total mass of products is equal to the total mass of the reactants according to the law of conservation of mass.
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F a = 2.0 cm, b = 3.0 cm, and i = 43 a, what is the magnitude of the magnetic field at point p?
Answers
The net magnetic force is 31.4×[tex]10^{-5}[/tex] T.
What is magnetic force?Data;
a = 1.0cm
b = 3.0cm
i = 30a
B = ?
The magnetic field at point 2 will be
[tex]B_{2}[/tex] = (μI/4[tex]\pi[/tex][tex]R^{2}[/tex]) ×Ф
[tex]B_{2}[/tex] = [tex]47.1[/tex]×[tex]10^{-5}[/tex] T
The magnetic field due at point 4 will be
[tex]B_{4}[/tex] = (μI/4[tex]\pi[/tex][tex]R^{2}[/tex]) ×Ф
[tex]B_{4}[/tex] = [tex]15.7[/tex]×[tex]10^{-5}[/tex] T
The direction of magnetic field due to 2 and 4 are in the opposite direction.
The Net magnetic force is
B = [tex]47.1[/tex]×[tex]10^{-5}[/tex] - [tex]15.7[/tex]×[tex]10^{-5}[/tex]
B = 31.4×[tex]10^{-5}[/tex] T
One of the four fundamental forces of nature, the electromagnetic force, results in the magnetic force, which is brought about by the motion of charges. When two charge-containing objects move in the same direction, a magnetic attraction pulls them together.
A magnetic field, a vector field that describes the magnetic influence on moving electric charges, electric currents, and magnetic materials. When a charge moves through a magnetic field, a force that is perpendicular to both its own velocity and the magnetic field operates on it. A permanent magnet's magnetic field pulls on ferromagnetic materials like iron and draws or repels other magnets.
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What kind of boundary is shown in the image below?
Convergent
Divergent
Collisional
Transform
Answers
Answer:
ambt kaon✌️jhrhriekeieieieiei
Explanation:
iwuejejwiowksj
Write a differential equation for the concentration of the chemical in the pond at time t. hint: the concentration is c = a/v = a(t)/106
Answers
The differential equation for the concentration of the chemical is given by dc/dt = (3/10⁶)(1 - 100c)
Suppose that a(t) is the amount of chemical in the pond at time t.
So, a'(t) = rate of chemical inflow - the rate of chemical outflow.
So, da/dt = (0.01)300 - (a/10⁶)300
So, da/dt = 3 - 3a/10⁴
Now,
Since, c = a/v
Then, c' = a'/v
So, c' = (3 - 3a/10⁴)/10⁶
Or, c' = 3 (1 - a/10⁴)/10⁶
So, dc/dt = 3/10⁶ (1 - cv/10⁴)
So, dc/dt = (3/10⁶) (1 - 100c)
Therefore the differential equation for the concentration of the chemical is dc/dt = (3/10⁶)(1 - 100c)
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a proton is located at 3 ✕ 10−10, −2 ✕ 10−10, −3 ✕ 10−10 m.(a) what is r, the vector from the origin to the location of the proton?r
Answers
a proton is located at 3 ✕ 10−10, −2 ✕ 10−10, −3 ✕ 10−10 m.
The vector from the origin to the location of the proton-2 x1000 1165x1000
Proton located at 6x100 5x100 - 2x 1070 Dileetar from Origins to location of Protors
= (67+-59-2 Ê ) x100 :
(69-59-2K) x1000 (6x1000) /_ (5x1010) 9 -(2x1599)
2 Magnitude of t, 11-16x1600) + (-5x1000) of (-2x1000)
136+25+4 x colo
3 unit vector, î = = 61-55-2 x1000 1165x1000
What is Proton ?
Protons and neutrons are composed of two types: up quarks and down quarks. Each up quark has a charge of +2/3. Each down quark has a charge of -1/3. The sum of the charges of quarks that make up a nuclear particle determines its electrical charge.
A proton is one in every of three foremost debris that make up the atom. Protons are found inside the nucleus of the atom. this is a tiny, dense region on the center of the atom. Protons have a high-quality electric price of one (+1) and a mass of 1 atomic mass unit (amu), which is set 1.sixty seven×10−27 kilograms.
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1. If a rock is dropped from a height and hits the ground in just 1 second, the speed at impact is 10 m/s. What would
happen to the speed if it is dropped from a higher height?
a. Its final speed would remain the same because its rate of acceleration would remain the same.
b. Its final speed would increase because the acceleration due to gravity remains the same.
c. Its final speed would remain the same because its rate of acceleration would decrease.
d. Its final speed would increase because the acceleration due to gravity would decrease.
Answers
At a certain temperature, the phph of a neutral solution is 7.68. what is the value of kwkwk_w at that temperature?
Answers
Kw = 4.36×10^-16 is the value of kw at temperature when the ph of a neutral solution is 7.68.
The formula for Kw is:
Kw= [H]*[OH]
where [H] and [OH] are concentrations
We are given the pH so we can calculate the [H] concentration from the formula:
pH=-log[H]
[tex]P_{H} =-log_{10} [H^{+} (aq)][/tex]
[tex]-P_{H} =log_{10} [H^{+} (aq)][/tex]
[tex][H^{+} (aq)]=10^{-P_{H} }[/tex]
[tex][H^{+} (aq)]=10^{-7.68}[/tex]
[tex][H^{+}(aq) ]=[/tex]2.089×[tex]10^{-8}[/tex]mol [tex]dm^{-3}[/tex]
In neutral solution, [H] = [OH],
therefore: [OH]=2.089×10^-8M
Calculating Kw:
Kw = (2.089×10^-8M) *(2.089×10^-8M)
Kw = 4.36×10^-16
What is the pH of a neutral solution at 100 degrees Celsius, where equals?pH + pOH = 14.00 (at 25°C) for any neutral solution with pH=pOH=7. At 100°C, the kw for water is 4.991013. Determine the pKw of water at this temperature, as well as the pH and pOH of a neutral aqueous solution at 100°C. pH and pOH values should be reported to two decimal places.To learn more about value of kw refer to
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explain the importance of body temperature regulation
Answers
Answer:
is an early warning sign of infection
Explanation:
it allows organs and bodily proccess to work effectively
Hope this helps
What Happens to a moving object if NO unbalanced force acts upon it?
Please Answer! Ill Mark Brainliest
Answers
Answer:
it will stop after some time
If the concentration of mercury in a water supply changes from 65 ppm to 7 ppm in a ten-year period, what is the percentage change of the mercury concentration?
Answers
The percentage change of the mercury concentration is 89.2 %
We know that,
Percentage change = [ ( Final value - Initial value ) / Initial value ] * 100
Given that,
Initial value = 65 ppm
Final value = 7 ppm
Time = 10 years
Time is not necessary in a percentage calculation because no matter how it took for something to change only the changed quantity matters.
Percentage change = [ ( 7 - 65 ) / 65 ] * 100
= 0.8923 * 100
Percentage change = 89.23 %
In a percentage change initial value is absolute as it cannot be changed.
Therefore, the percentage change of the mercury concentration in a ten year period is 89.2 %
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A space shuttle is flying north at 6,510 m/s. It
then begins accelerating at 28.4 m/s2 directly
northeast to properly align its path towards
orbit around the Earth. After 60.0 s, what is
the direction of its velocity?
Answers
The direction of velocity is 81.12°
Given that,
Initially the space shuttle is flying North at 6510 m / sNext 60 seconds, it accelerates at 28.4 m / s² directly North-East.Velocity of the North-East travel = [tex]a_{NE}[/tex] * [tex]t_{NE}[/tex] = 28.4 * 60 = 1704 m / sSplitting the North-East travel into its horizontal and vertical components,Horizontal component = 1704 cos° 45 = 1204.9 m / sVertical component = 1704 sin° 45 = 1204.9 m / sThe vertical components are the north travel and the the vertical component of North-East travel. Total vertical velocity = 6510 + 1204.9 = 7714.9 m / sTotal Horizontal velocity = 1204.9 m / sThe resultant velocity makes a right angled triangle with the magnitude of total vertical and horizontal velocity.Since it is a right angled triangle,
tan θ = Opposite side / Adjacent side
tan θ = Total vertical velocity/ Total horizontal velocity
tan θ = 7714.9 / 1204.9 = 6.4
θ = [tex]tan^{-1}[/tex] ( 6.4 )
θ = 81.12 °
Therefore, the direction of its velocity is 81.12° with respect to x - axis.
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vector c has a magnitude of 27.0 m and points in the −y‑ direction. vectors a and b both have positive y‑ components, and make angles of α
Answers
Both the x and y components of A+B+C will individually be zero for the given vector.
What do you mean by vector?In both mathematics and physics, the term "vector" is used informally to describe certain quantities (also known as "scalars") that cannot be described by a single number or by the constituent parts of some vector spaces. It is possible to add and scale both geometric vectors and tuples. These vector operations gave rise to the idea of a vector space, which is a set that is equipped with both a vector addition and a scalar multiplication and satisfies some axioms that generalize the key characteristics of operations on the aforementioned types of vectors. The terms Euclidean vector space and coordinate vector space are used to describe vector spaces constructed from geometric vectors and tuples, respectively.
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As a giant cloud of gas collapses due to gravity, you would expect its rate of rotation to.
Answers
Answer:
increase!!!
M V R describes the angular momentum of mass M
If R is decreased for a given mass M then the velocity must increase to account for the angular momentum being a constant (conserved).
I already did the first slide but it ahs to do with the second one. Please answer in complete sentences
Answers
Answer:
huhu
chuba bi miayang yo
trip rp rrip trip
Explanation:
how are things going with your family in the car with the family in because or am we supposed for a car to stay at the airport and get a taxi
shot from a cannon in 1998, david "cannonball" smith set the distance record for being shot from a cannon (56.64 m). during a launch in the cannon’s barrel, his speed increased from zero to 80 km/h in 0.40 s. while he was being stopped by the catching net, his speed decreased from 80 km/h to zero with an average acceleration of 180 m/s2m/s2. what can you determine about smith’s flight using this information?
Answers
From this information, it can be determined that
acceleration of the shot = 56 m/s^2
stoppage time = 0.123s
stoppage path length = 1.37m
CalculationThe average acceleration while being shot by definition
a = [tex]\frac{\frac{80}{3.6} }{0.4}[/tex] = 56 m/s^2
Assuming that there is a constant acceleration we can determine the path covered during his acceleration as
s = 1/2a (0.4s)^2 = 4.5m
then we can find the stoppage time as
t3 = [tex]\frac{\frac{80}{3.6} }{180}[/tex] = 0.123s
Then the stoppage path length is defined as
s3 = [tex]\frac{(80/3.6)^2}{2a}[/tex] = 1.37m
Then the path length of travel with constant velocity is
s2 = 56.64m -s1 - s2 = 50.77m
Then time of flight
t2 = [tex]\frac{s_{2} }{80/3.6}[/tex] = 2.28s
Then we can determine the total time of flight as
t = t1 + t2 + t3 = 2.8s
Thus, we have
ashot = 56m/s^2
tstop = 0.123s
[tex]\delta x[/tex]stop = 1.37m
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if you are driving 120 km/h along a straight road and you look to the side for 2.2 s , how far do you travel during this inattentive period?
Answers
During this inattentive period, the distance traveled is 73.33 when the speed is 120 km/h and the time taken is 2.2 s.
What connection exists between time, distance, and speed?Every moving object travels a particular distance over time. These two factors enable us to determine the speed. The frequency of displacement is the sole determinant of speed. The complete mobility of an object, regardless of direction, will be its distance. No matter where an object originates or finishes, distance measures how much ground it has travelled. A process, an action, or a condition's duration is the amount of time that can be measured or quantified. Speed is the rate at which an object travels along a path over time, whereas velocity is the speed and direction of an item's motion. In another sense, velocity is a vector, whereas speed is a scalar value. There is a formula that connects these three things. Speed can be thought of as a gauge for a body's rate of motion. The distance covered in a single unit of time is how it is defined.
Speed = Distance/ Time
We are given Average speed, = 120 km/h=(120 * 1000)/3600=33.33 m/s
Time, t=2.2s
Now speed = Distance/ Time
⇒ Distance = speed * time=33.33*2.2=73.33
Thus distance traveled is 73.33 m
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an infinitely long charged rod has uniform charge density of λ, and passes through a cylinder (gray). the cylinder in case 2 has twice the radius and half the length compared to the cylinder in case 1.
Answers
To compare the magnitude of flux through the surface wherein the cylinder in 2 has twice the radius and half the length compared to the cylinder in case 1 and this comparison in magnitude is given as ϕ= 2ϕ.
How would you define charge density?The charge density can be defined as a measurement of the amount of electric charge that is present per unit of surface area, body volume, or field.
The amount of charge that is held in a specific field is determined by the charge density. It is absolutely possible to calculate charge density of an object in terms of length, area, or volume.
How can you determine a rod’s charge density?If q is taken as the charge and l is the distance that it travels, then q/l is the formula for the linear charge density, and the S.I. Coulombs per meter (cm1) is the unit used to measure linear charge density.
What is the unit of charge density?The general response is most conveniently expressed in terms of the linear charge density, which is equal to Q/L for a finite rod of length L and total charge Q.
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Disease samples from two patients were collected and subjected to serial dilutions before running an elisa. What does it mean if the disease can be detected in samples from one person only at a dilution of 1/5, but the disease can be detected in the other patient at a dilution of 1/5 and 1/100?.
Answers
If diseases can be detected with the samples of serial dilution means that both patients have the disease. But, the second patient has the disease at a higher level than the first patient.
ELISA test stands for enzyme-linked immunosorbent assay test. This test is performed to detect the amount and the type of antibodies for a disease present in your blood. ELISA test may be performed to diagnose the diseases like syphilis, HIV, Lyme disease, rotavirus, zika virus, etc.
Serial dilution is a process of performing dilution of a sample in a series to know the number of organisms present in that sample. In a dilution of 1:5, the concentration is lesser than the 1/100 dilution, it is more likely to provide lesser numbers of pathogen colonies.
In 1/5 dilution, a total of 5 parts comprise 1 part of the sample as solute and 4 parts of the diluent or solvent. While, in a dilution of 1/100, a total of 100 parts comprises 1 part of solute and 99 parts of solvent. 1/100 would provide a large number of disease-causing organisms in the sample.
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Using your model create the following scenarious first quarter moon
Answers
The first quarter in which half the Moon appears illuminated, occurs when the Moon is at a right angle with respect to the Sun when viewed from the Earth.
How do moon's different illumination occur?The Moon is a non illuminating celestial object and doesn't have its own light but reflects the light of the sun and with change in angle between moon and Sun the different phases of the moon appear as seen from earth.
Given:
The Moon is in the first quarter of illumination.
In the first quarter of the moon the only one-fourth of the sun is illuminated and is observable from earth.
For this to happen only the visibly i.e. one-fourth of the moon should be reflecting back the light of the sun.
For this to happen the moon shouldn't be completely opposite to the sun behind the earth. But rather at right angles with respect to the sun when seen from earth.
Therefore, The first quarter in which half the Moon appears illuminated, occurs when the Moon is at a right angle with respect to the Sun when viewed from the Earth.
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Given that vector a b = c, and that lal lbl = lcl, how are vectors a and b oriented with respect to each other?
Answers
Vector a b = c, and that |al |b| = |cl, vectors a and b oriented with respect to each other because they are perpendicular to each other.
What is a vector?A vector is an object that has both magnitude and a direction. Geometrically, we can picture vector as a directed line segment, whose length is the magnitude of the vector and with an arrow indicating the direction. The direction of vector is from its tail to its head.
Two vectors are the same if they have same magnitude and direction. This means that if we take a vector and translate it to a new position (without rotating it), then vector we obtain at the end of this process is the same vector we had in beginning.
Two examples of vectors are those that represent the force and velocity. Both the force and velocity are in a particular direction. The magnitude of vector would indicate the strength of the force or the speed associated with the velocity.
We denote vectors using the boldface as in a or b. Especially when writing by hand where one cannot easily write in boldface, people will sometimes denote vectors using the arrows , or they use the other markings. We won't need to use the arrows here. We denote magnitude of the vector a by |a|. When we want to refer to a number and stress that it is not a vector, we can call number a scalar. We will denote scalars with the italics, as in a or b.
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What do you observe when you hold your largest plastic shopping bag square between the light source and the wall
Answers
The thing i observe if I hold a largest plastic shopping bag square between the light source and the wall is that since the plastic is Translucent, it allow some measures of light to pass through it. When light hits the translucent materials, since it is big and little thicker, only some of the light went through them.
What happens to light when it travels through air and meets an opaque surface?As light travels through air as well as into a clear material (such as glass), it speed is altered, and light is said to be reflected and also refracted by the said glass
Note that Light can pass through some kind of materials, such as glass, water, plastic that is clear and transparent materials.
Therefore, The thing i observe if I hold a largest plastic shopping bag square between the light source and the wall is that since the plastic is Translucent, it allow some measures of light to pass through it. When light hits the translucent materials, since it is big and little thicker, only some of the light went through them.
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How+many+time+constants+must+elapse+if+an+initially+charged+capacitor+is+to+discharge+55%+of+its+stored+energy+through+a+resistor?
Answers
4 time constants must elapse if an initially charged capacitor is to discharge 55% of its stored energy through a resistor.
What do you understand by the term capacitor?
A capacitor is created with the two metal plates and an insulating material known as a dielectric. The metal plates parallel but are placed very close to each other . The dielectric is placed between them to make sure they don't touch each other.What is a capacitor used for?
Capacitor is a device used for storing electrical energy. A simple example of such a storage device is the parallel-plate capacitor.How many types of capacitors are there?
There are two major types of capacitors: Fixed Capacitors and Variable Capacitors. They include non-polarized and polarized for the fixed group and tuning and trimming for the variable group.To learn more about capacitors, refer to:
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If the connection to the resistor is completed at time tt = 0, what is the value of tt when the current has the value specified in part a?
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Finding the initial and final values for the quantity that the capacitor or inductor opposes changing—i.e., the quantity that the reactive component is seeking to maintain constant—is the first stage.
This amount is voltage for capacitors and current for inductors. This amount is to be used as the "beginning" value because when the switch in a circuit is closed (or opened), the reactive component will try to keep that quantity at the same level as it was before the switch transition. This quantity's ultimate value is whatever it will be after an infinitely long period of time.
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if an arrow is shot upward on mars with a speed of 66 m/s, its height in meters t seconds later is given by y
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Finding the common slope of the placement function for the term you're interested by will let you decide the common pace.
the absolute value of velocity is common pace, then again.
average pace and average pace are the same if the arrow constantly actions at a regular tremendous or bad speed. we will first pick out the places of high-quality and negative velocities.
Find the velocity equation first. It is y(derivatives: )'s
y'(t) = v(t) = [tex]66 - 3.72t[/tex]
Next, find the positive and negative values of this:
v(t) = 0 when t = [tex]66/3.72 = 17.74[/tex] seconds.
this means that v(t) is continually fine for all 3-time durations. As a result, all we want to do is calculate the average slope of y(t) during each period.
The average slope equation is made up of the slope between the beginning and finishing points = [tex][f(b) - f(a)]/(b-a)[/tex]:
Therefore, these are the calculations:
(i) vavg = [tex][y(2) - y(1)]/(2-1)[/tex]
(ii) vavg = [tex][y(1.5) - y(1))]/(1.5-1)[/tex]
(iii) vavg = [tex][y(1.1) - y(1)]/(1.1-1)[/tex]
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Juan and sergei are making a display about water conservation. To make a greater visual impact, they decide to add blue food coloring to the water, but just enough that it is noticeable. Juan adds 2 drops of food coloring to the water, and stops because he can see the blue color. Sergei tells him to put another drop in because he doesn’t see any blue yet. Juan’s _______________ is probably lower than sergei’s.
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Juan's absolute threshold is probably lower than Sergei's.
The lowest level of a stimulus that an organism can perceive is known as an absolute threshold. This definition has its roots in psychophysics and neurology. In light of the signal detection theory, the absolute threshold has been redefined as the point at which a stimulus will be detected a specific percentage of the time (usually 50%).
Goals and expectations of the subject, cognitive processes, and the degree of stimulus adaptation are only a few of the numerous factors that could have an impact on the absolute threshold. An absolute threshold is the minimal stimulus intensity that can be identified and is frequently thought to occur at least 50% of the time. The adage, which applies to any stimuli, is extensively used in experimental neuroscience research.
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