The final speed of the bike is 5 m/s.
What is velocity?Speed is measured as the ratio of distance to the time in which the distance was covered.
To calculate the final velocity, we use the formula below.
Formula:
v = u+at................ Equation 1
Where:
v = Final velocityu = Initial velocitya = Accelerationt = Time.From the question,
Given:
u = 25 m/sa = -4 m/s²t = 5 secondsSubstitute these values into equation 1
v = 25+(-4×5)v = 25-20v = 5 m/sHence, the final speed of the bike is 5 m/s.
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you quickly need a 133-ω resistance value but only have a collection of 100-ω resistors. what can you do?
The series combination will give you the resistance of 200ohm when two 100ohm resistances are connected.
What is resistance?Resistance is a device used to restrict the flow of the current. By using ohm's law the resistance is the ratio of the potential difference applied across the circuit and the current flowing through the circuit.
Given that you quickly need a 133-ω resistance value but only have a collection of 100-ω resistors.
For this case use the series combination of the resistances in which the resistances are connected in series by doing so the effect of resistance is increased.
R = R1 + R2
If you have two 100 ohm resistances connect them in the series.
R = R1 + R2
R = 100 + 100
R =200 ohm
Therefore, the series combination will give you a resistance of 200ohm when two 100ohm resistances are connected.
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a steam power plant with a power output of 150 mw consumes coal at a rate of 60 tons/h. if the heating value of the coal is 30,000 kj/k
The overall efficiency (in %) of the plant is 30% if the steam power plant with a power output of 150 MW consumes coal at a rate of 60 tons/h.
What is efficiency?Efficiency is the capacity to achieve something or get the desired outcome without wasting resources, time, money, energy, or effort.
It is given that:
A steam power plant with a power output of 150 MW consumes coal at a rate of 60 tonnes per hour.
As we know,
Thermal efficiency Te = (W/Q)x100
m(coal) = 60 tons/h = 50/3 kg/s
The heating value of the coal is 30,000 kj/k = 30 MJ/kg
Q = (50/3)30
Q = 500 MW
Te = (150/500)100
Te = 30%
Thus, the overall efficiency (in %) of the plant is 30% if the steam power plant with a power output of 150 MW consumes coal at a rate of 60 tons/h.
The question is incomplete.
The complete question is:
A steam power plant with a power output of 150 MW consumes coal at a rate of 60 tonnes per hour. If the heating value of coal is 30,000 KJ/kg, determine the overall efficiency (in %) of the plant.
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how does the current motion of hnlc on oahu compare to the direction of pacific plate motion relative to the hawaiian hotspot over the past million years?
The current motion of HNLC on Oahu compare to the direction of the pacific plate motion relative to the hawaiian hot spot over the past 42 million years is North direction.
Because of plate tectonics now the islands are moving more north compared to before.
The theory of plate tectonics is the modern update to continental drift(opens in new tab), an idea first proposed by scientist Alfred Wegener in 1912 which stated that Earth’s continents had "drifted" across the planet over time. Wegener didn't have an explanation for how continents could move around the planet, but researchers do now: Plate tectonics.
Plate tectonics is the theory that Earth's outer shell is divided into large slabs of solid rock, called “plates,” that glide over Earth's mantle, the rocky inner layer above Earth’s core. Earth’s solid outer layer, which includes the crust and the uppermost mantle, is called the lithosphere.
It is 100 km (60 miles) thick, according to the Encyclopedia Britannica(opens in new tab). Below the lithosphere is the asthenosphere a viscous layer kept malleable by heat deep within the Earth(opens in new tab). It lubricates the undersides of Earth's tectonic plates, allowing the lithosphere to move around.
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list the experimental evidence that strongly suggested that light does not act like a wave during the photoelectric effect.
Most commonly observed phenomena with light can be explained by waves. But the photoelectric effect suggested a particle nature for light
Publicized early in the debate about whether light was composed of particles or waves, a wave-particle dual nature soon was found to be characteristic of electrons as well.
The evidence for the description of light as waves was well established at the turn of the century when the photoelectric effect introduced firm evidence of a particle nature as well.
On the other hand, the particle properties of electrons was well documented when the DeBroglie hypothesis and the subsequent experiments by Davisson and Germer established the wave nature of the electron.
The details of the photoelectric effect were in direct contradiction to the expectations of very well developed classical physics.
The explanation marked one of the major steps toward quantum theory.
The remarkable aspects of the photoelectric effect when it was first observed were:
1. The electrons were emitted immediately - no time lag!
2. Increasing the intensity of the light increased the number of photoelectrons, but not their maximum kinetic energy!
3. Red light will not cause the ejection of electrons, no matter what the intensity!
4. A weak violet light will eject only a few electrons, but their maximum kinetic energies are greater than those for intense light of longer wavelengths.
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a rock takes 2.65 s to hit the ground when it is thrown straight up from the cliff with an initial velocity of 8.2 m/s
The height of the cliff from the rock is thrown with an initial velocity of 8.2 m/s is 56.14 m
The formula for the downward vertical launch and the procedure we will use is:
y = V₀*t + (gt²) /2
Where:
v₀ = initial velocityg = gravityy = heightt = timeInformation about the problem:
g = 9.8 m/s²v₀ = 8.2 m/st= 2.65 sy = ?With the information gave, we can calculate the height from the rock is thrown, using the formula of downward vertical launch:
y = V₀*t + (gt²) /2
y = (8.2 m/s * 2.65 s) + [9.8 m/s² * (2.65 s)²] /2
y = (21.73 m) + [9.8 m/s² * 7.0225 s²] /2
y = (21.73 m) + 68.821 m /2
y = 21.73 m + 34.41 m
y = 56.14 m
What is vertical launch?In physics vertical launch is the motion described by an object that has been launched vertically in which the acceleration is the earth's gravitational force.
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Guys fr i don't understand physics
if it takes 10 seconds to drive around 450 cm.
Using your mathematical model, calculate the distance your car would travel at 15 seconds.
Answer:
675
Explanation:
10 seconds = 450 cm
1 second = 450 ÷ 10 cm
15 seconds = 450 ÷ 10 × 15 cm
" = 45 × 15 cm
" = 675 cm
Thus , 675 is the answer
When randomly arranged low energy protons enter the magnetic field they become static and ______________ with the main magnetic field and net magnetization.
When randomly arranged low-energy protons enter the magnetic field they become static and parallel with the main magnetic field and net magnetization.
What is net magnetization?The magnetic moments of each individual hydrogen atom are added to create the net magnetization vector in MRI. Individual magnetic moments are arbitrarily oriented when there is no external magnetic field, and because they are in opposition, the net magnetization vector is thought to be zero.
How magnetization m is connected with the magnetic field?The intensity of magnetization, or just magnetization, is the term used to describe the magnetic dipole moment per unit volume of a substance (M). The relationship between the applied magnetic field (H) and the material's internal magnetic flux density or magnetic induction (B) is linear.
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An accelerometer is made with a crystal of natural frequency 20 khz. the damping ratio of the accelerometer is found to be 0.71. determine the upper cutoff frequency of the accelerometer for 1 accuracy.
The upper cutoff accelerometer is made with a crystal of natural frequency of the accelerometer is 7.334 KHz.
What is accelerometer?An accelerometer is a tool that precisely measures acceleration. Proper acceleration is the acceleration of a body in its own instantaneous rest frame, as opposed to coordinate acceleration, which is acceleration in a fixed coordinate system.
Accelerometers are devices that measure the acceleration or vibration of a structure. They have a transducer that converts mechanical force caused by vibration or a change in motion into an electrical current by using the piezoelectric effect.
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If liquid water at 30 c is flowing in a pipe and the pressure drops to the vapor pressure, what happens in the water?
If liquid water at 30 degrees Celsius is flowing in a pipe and the pressure drops to the vapor pressure, the water starts to boil
In any liquid kept inside an evacuated chamber, the molecules of the liquid which have high kinetic energy enough to allow them to escape the surface of the liquid, turn into vapor. These molecules in the vapor phase start exerting pressure on the surface of the liquid and this pressure exerted by the vapor of same liquid is termed as the vapor pressure.The vapor pressure is very important parameter to decide the boiling point of the liquid. When the vapor pressure becomes equal to the pressure exerted by the surrounding atmosphere on the liquid, the liquid starts to boil irrespective of the temperature. The temperature at which vapor pressure becomes equal to the surrounding atmospheric pressure is known as the boiling point of the liquidIn the given problem, the liquid water which is flowing inside the pipe observes the pressure drop to vapor pressure. As soon as the pressure of liquid water drops to vapor pressure the liquid water will start to boil even at 300C.According to Bernoulli's theorem when the flow velocity increases, the pressure at that point drops. This increment in flow velocity may be due to reduction in cross-sectional area also. The reduction in pressure to the vapor pressure leads to boiling of the liquid and small vapor bubbles start to form. These vapor bubbles travel with the flowing liquid and collapse at the high-pressure zone resulting in damage to the metallic surface. This phenomenon is known as cavitation. Thus, in order to avoid cavitation, the pressure at any point in the flowing liquid should not drop to vapor pressureTo know more about standard light intensity visit : https://brainly.com/question/11864750
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a hockey player is standing on his skates on a frozen pond when an opposing player, moving with a uniform speed of 2.0 m/s, skates by with the puck. after 1.40 s, the first player makes up his mind to chase his opponent. if he accelerates uniformly at 0.22 m/s2, determine each of the following.
A hockey player is standing on his skates on a frozen pond, if he accelerates uniformly at 0.22 m/s2, the player will catch his opponent in 19.49 seconds.
Uniform Motion
The object's uniform motion should follow the following rules as provided
vt = vo + at
vt² = vo² + 2a . s
s = vo*t + 1/2*a*t²
Here vt is seen as the final velocity, vo = initial velocity
a= acceleration t= time and s= displacemnt
according to the question,
v = 2
t= 1.4
vo= 0 m/s
a = 0.22 m/s²
The distance between the players is seen as
Vt= 2x 1.4 = 2.8 m
The player will thus catch his opponent with the same distance. This means,
Sopponent = Splayer
so + vt = vo*t + 1/2 at²
⇒ 2.8 + 2.t = 0 . t + 1/2 . 0.22 . t²
⇒ 0.11t² - 2t - 2.8 = 0
⇒ t = 19.49 s
on solving the above quadratic equation, we calculate the possible root as 19.49 seconds.
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a 1.5\,\text {kg}1.5kg1, point, 5, start text, k, g, end text mass attached to an ideal spring oscillates horizontally with an amplitude of 0.50\,\text m0.50m0, point, 50, start text, m, end text. the spring constant is 85\,\dfrac{\text n}{\text m}85 m n 85, start fraction, start text, n, end text, divided by, start text, m, end text, end fraction.
spring P.E = 1/2 kx^2
= 1/2 * 250 x 0.25 = 31.25 N
where k= spring constant = 250 N/m
x= Compression = 0.250
By Applying conservation of energy
K.Ei+ P.Ei =K.Ef+ P.Ef
0+ 31.25 = 0+ m(9-8)(0.5)
4.9m =31.25
m= 6.377 kg
m- 6.4kg
law of conservation of energy sates the amount of energy you start with is the amount of energy you end with; the amount of energy always stays the same though its form may changePotential energy is the energy something stores because of position or structureKinetic energy is the energy something has because it is movingTo know more about conservation of energy visit : https://brainly.com/question/2137260
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Answer: 1.2 Hz
Explanation:
Khan Academy
A beaker (glass jar) contains 1 kg of water; when converted to a volume measurement it is the same as: 1,000 ml 1,000 l 1,000 cm 3
A beaker (glass jar) contains 1 kg of water; when converted to a volume measurement it is the same as: 1,000 ml 1,000 l 1,000 cm 3
Volume of water in ml = 1000 ml
Volume of water in cm³ = 100cm³
Given that
mass of water in a beaker m = 1 kg.To find
volume measurement of 1 kg water.So, According the question
We have
mass of water m = 1kg.For convert it in volume, we can follow some simple steps
Find out the Density of water or given substanceNow divide its mass in kg by its density in kg/m³ to get its volume in m³ .Multiply the volume in m³ by 10³ to get the volume in ml.So, we know
Density of water ρ = 1000 kg/ m³ .Now we have to divide 1 kg mass of water by Density of water ρ.[tex]= \frac{1}{1000}[/tex]
volume of water in m³ v = 0.001 m³
3. Now volume of water in ml = 0.001 × 10⁶ = 1000 ml
4 . Now volume of water in cm³ = 0.001 × 10⁵ = 100cm³
Volume of water in ml = 1000 ml Volume of water in cm³ = 100cm³
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If a bird catches its prey from a height which is initially at rest them the momentum is conserved for
The momentum of both the engaged animals—a bird and its prey—is conserved.
What does linear momentum conservation mean?
If there is no external force acting on the colliding objects, the total momentum before and after the collision will be the same, according to the conservation of momentum principle.
Initial momentum is the same as final momentum.
As a result, both the engaged animals—a bird and its prey—keep their momentum.
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A light-rail train going from one station to the next on a straight section of track accelerates from rest at 1.1 m/s2 for 20 s. it then proceeds at constant speed for 1100 m before slowing down at 2.2 m/s2 until it stops at the station. what is the distance between the stations?
The distance between the stations is 1320 m
How to determine the distance travelled in the first 20 sWe'll begin by calculating the distance travelled by the train in the first 20 s. This can be obtained as follow:
Initial velocity (u) = 0 m/sAcceleration (a) = 1.1 m/s²Time (t) = 20 sDistance (s) =?s = ut + ½at²
s = (0 × 20) + (½ × 1.1 × 20²)
s = 0 + 220
s = 220 m
How to determine the distance between the stationsThe distance between the stations can be obtained as illustrated below:
Distance in the 1st 20 s = 220 mDistance in the remaining journey = 1100 mTotal distance =?Total distance = 220 + 110
Total distance = 1320
Thus, the distance between both stations is 1320 m
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objects that are flying around (like sand in a dust storm) can become electrically charged. how much charge these objects accumulate varies, but a reasonable scale is pc (10-12 coulombs). if a grain of sand has a net charge of 59pc, approximately how many electrons has it lost?
The number of electrons lost is 3.69 * 10^8 electrons
What is the number of electrons lost?We know that charge that is carried by an electron has the magnitude of 1.6 * 10^-19C. In this case we have been asked to obtain the number of electrons that could be lost in the process and we have the charge as 59pc.
Knowing that;
Q = ne
Q = magnitude of charge
n = number of electrons
e = magnitude of charge on an electron
n = Q/e
n = 59 * 10^-12/1.6 * 10^-19C
n = 3.69 * 10^8 electrons
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the head of a nail is 0.39 cm0.39 cm in diameter. you hit it with a hammer with a force of 27 n.27 n. what is the pressure pheadphead on the head of the nail?
The pressure is 22.59 x 10⁵ Pa.
We need to know about pressure to solve this problem. Pressure is unit that describe how much force applied on a surface area. It can be determined as
P = F / A
where P is pressure, F is force and A is area.
From the question above, we know that
d = 0.39 cm = 0.0039 m
F = 27 N
Calculate the surface area of the nail
A = π . r²
A = π . (1/2 . d)²
A = π . (1/2 . 0.0039)²
A = 1.195 x 10¯⁵ m²
Determine the pressure
P = F / A
P = 27 / (1.195 x 10¯⁵ )
P = 22.59 x 10⁵ Pa
Hence, the pressure is 22.59 x 10⁵ Pa.
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the head of a nail is 0.39 cm0.39 cm in diameter. you hit it with a hammer with a force of 27 n.27 n. what is the pressure pheadphead on the head of the nail?
The nail head has a zero.39 cm diameter. You strike it with a hammer that has 27 N of force. at the nail head, there might be a stress head of 31100716.5 Pa.
Pressure P = Force(F) / Area(A)
On nail head = P = [tex]\frac{F}{\pi r^{2}}[/tex]
[tex]= \frac{f}{\pi (\frac{d}{2} )^{2} }[/tex]
[tex]= \frac{4F}{\pi d^{2} }[/tex]
[tex]P = \frac{25*4}{3.14*0.0032^{2} }[/tex]
= 3110071.65 Pa
Pressure at the end of the nail P = [tex]\frac{F}{A}[/tex]
[tex]P = \frac{25*4}{3.14*0.00032^{2} }[/tex]
P = 31100716.5 Pa
pressure is the ratio of the force applied perpendicularly to an object's surface to its location. Its abbreviation is "p" or "P."
A fluid column whose weight is similar to the fluid's strain is represented with the aid of the strain head.
The elevation head represents the gravitational capacity energy resulting from elevation, even as the pressure head reflects the energy because of pore fluid stress
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a student says " A running squirrel has a speed of -7 m/s . what is wrong with this statement.
I will give brainlist
What mass of silver chloride can be produced from 1.39 ll of a 0.209 mm solution of silver nitrate?
The mass of silver chloride be produced from 1.39 ll of a 0.209 mm solution of silver nitrate is 28.3g.
What is silver chloride?With the chemical formula AgCl, silver chloride is a substance. The poor solubility of this white crystalline solid in water is widely recognised. Silver chloride undergoes a conversion to silver upon lighting or heating, which is shown by the coloring of certain samples changing from grey to black or purple.
used to create alloys, polish mirrors, and electroplate metals. used as a countermeasure that, when combined with the toxin, produces a safe chemical product. utilised in pharmaceuticals, and photographic films employ silver salts.
[tex]2{\rm{AgN}}{{\rm{O}}_3}\left( {aq} \right) + {\rm{CaC}}{{\rm{l}}_2}\left( {aq} \right)\longrightarrow{{}}2{\rm{AgCl}}\left( s \right) + {\rm{Ca}}{\left( {{\rm{N}}{{\rm{O}}_3}} \right)_2}\left( {aq} \right)[/tex]
[tex]\begin{array}{l}\\{\rm{Molarity}} = \frac{{{\rm{Moles}}}}{{{\rm{Volume}}}}\\\\0.209{\rm{ M}} = \frac{{{\rm{Moles}}}}{{1.39{\rm{ L}}}}\\\\{\rm{Moles}} = \left( {0.209{\rm{ mol/L}}} \right)\left( {1.39{\rm{ L}}} \right)\\\\{\rm{ = 0}}{\rm{.198 mol}}\\\end{array}\\[/tex]
[tex]\frac{{\left( {0.198{\rm{ mol AgN}}{{\rm{O}}_3}} \right)\left( {2{\rm{ mol AgCl}}} \right)}}{{\left( {2{\rm{ mol AgN}}{{\rm{O}}_3}} \right)}} = 0.198{\rm{ mol AgCl}}[/tex]
[tex]\begin{array}{l}\\{\rm{Moles}} = \frac{{{\rm{Mass}}}}{{{\rm{Molar mass}}}}\\\\0.198{\rm{ mol}} = \frac{{{\rm{Mass}}}}{{143{\rm{ g/mol}}}}\\\\{\rm{Mass}} = \left( {0.198{\rm{ mol}}} \right)\left( {143{\rm{ g/mol}}} \right)\\\\{\rm{ = 28}}{\rm{.3 g}}\\\end{array}[/tex]
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An object is dropped from the top of a building and hits the ground 3 seconds after it is released. what is the approximate speed of the object at the instant it hits the ground?
Once the object is dropped ,The only force acting on it is gravity.so acceleration due to gravity is 9.8 m/[tex]s^{2}[/tex].
Given,
Initial velocity = u = 0
Time taken = t = 0
Acceleration = g = 9.8 m/[tex]s^{2}[/tex]
Using [tex]3^{rd}[/tex] equation of motion ,
v = u + at
v =( 0 )+ (9.8) *(3)
v = 29.4
v≈ 30 m/s
So, the speed of object is 30 m/s.
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How much energy is contained in 1 mol of each? a. x-ray photons with a wavelength of 0.135 nm b. g-ray photons with a wavelength of 2.15 * 10-5 nm
The x ray photons have 885234000 J of energy, and the g-ray photons have an energy of 5.57 x 10^12 J in a total of 1 mol of each of these.
What is wavelength?The distance calculated over which a periodic wave's shape repeats itself is known as the wavelength in physics. This wavelength can be described as the space between waves' crests, particularly between electromagnetic or sound wave points.
The distance that any kind of a wave travels between its crests or troughs, it is known as its wavelength (which may be an electromagnetic wave, a sound wave, or any other wave).
Thus, the process can be defined as:Here we have to use the formula
E= hc/λ
To calculate energy of x-ray photons, we have
a) E = [6.626 x 10^(-34) x 3 x 10^8] / 0.135 x 10^(-9)
⇒ E= 1.47 x 10^(-15) J per photon
Using Avogadro's number, the energy calculated per mole can be calculated as
E= 1 mol x 6.022 x 10^23 x 1.47 x 10^-15
E= 885234000 J
Then for the energy of g-ray photons, can be calculated as
b) E = [6.626 x 10^(-34) x 3 x 10^8] / 2.15 x 10^(-14)
E= 9.25 x 10^-12 J per photon
Then using Avogadro's number, we have
E = 1 mol x 6.022 x 10^23 x 9.25 x 10^-12
E = 5.57 x 10^12 J
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In a loop in a closed circuit, the sum of the currents entering a junction equals the sum of the currents leaving a junction because?
Answer:
The sum of the currents entering a junction equals the sum of the currents leaving a junction because no charge is lost.
Explanation:
The law of conservation of charge as proposed by Kirchoff ensures that the sum of currents entering and leaving a circuit are the same. Kirchoff's law asserts that the total current entering a circuit's junction is precisely equal to the total current exiting the same junction for a parallel line. Because no charge is lost, the currents have nowhere else to go. This implies that the algebraic total of ALL currents entering and exiting a junction must equal zero. Kirchoff’s first law is alternatively referred to as the law of conservation of charge.
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An aquarium is 2 m long, 1 m wide, and 1 m deep is full of water weighing 9,800 n/m3.(a) find the work needed to pump half of the water out of the top of the aquarium
In an aquarium 2 m long, 1 m wide, and 1 m deep, the work needed to pump half of the water is 2452.5 J
CalculationWork done is defined as the integral of force multiplied with distance.
So, the formula goes as W=[tex]\int\limits^a_b {Fx} \, dx\\[/tex]
Force can be written in terms of density as
F = m * g = ρVg
v = 2x1x1 = 2[tex]m^{3}[/tex]
so, work done will be
W = [tex]\int\limits^{0.5}_0 2*1000*9.81* {x} \, dx[/tex]
= 19620[tex](\frac{x^2}{2} )\left \{ {{0.5} \atop {0}} \right.[/tex]
W = 19620 [tex]\frac{(0.5)^2}{2}[/tex]
W= 2452.5 J
Thus, the work that is needed to be done to pump half the water = 2452.5 J
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the time varying components of capacitance and inductance results in reactive power elements that can decrease power transfer.
The capacitance of the capacitor varies with time. i'm doubtful if this RC circuit should be called a linear circuit.
Linear circuit :
According to the definition, a linear circuit obeys principle of superposition . The RC circuit with variable capacitor still obeys principle of superposition at any instant of time.
On the opposite hand, traditional analysis techniques for linear circuits might not be applicable for the analysis of this RC circuit.
A device or system is said to be time-invariant if and only if shifting in time its zero-state response by some constant always results in only shifting in time its zero-state response by that same constant, valid for all time, all possible inputs, and every one possible time shifts.
Elaboration of time variant :If the capacitance varies only with time, then that's a linear time-variant capacitor. If the resistance is constant or may be a function of time only, then that's a linear time-invariant or linear time-variant resistor respectively. therefore the RC network is linear time-variant. (It is time-variant due to the capacitor, whether the resistor is time-invariant or time-variant.)
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doppler radar uses energy to measure the velocity and direction of movement of particles of rain or hail within a cloud.
Doppler radar measures the speed and direction of hail or raindrop movement within a cloud using microwave energy.
What is a doppler radar?A Doppler radar is a specialized radar that can gather velocity information on distant objects using the Doppler effect. This is done by directing a microwave signal at a target and observing how the target's movement changes the frequency of the signal that is reflected back. The difference between a wave's observed frequency and its emitted frequency when the observer is moving with respect to the wave source is known as the Doppler effect, sometimes known as the Doppler shift, and named after the Austrian scientist Christian Doppler who originally proposed it in 1842. The radial component of a target's velocity in relation to the radar can be directly and extremely accurately measured using this variation. It frequently happens while a vehicle with sirens moves toward, past, and away from a target.
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a solid sphere of radius 40.0 cm has a total positive charge of 31.9 µc uniformly distributed throughout its volume. calculate the magnitude of the electric field at the following distances.
The magnitudes of the electric field at the following distance 0cm,10cm,40cm,72cm are 0,5.2 x 105 N/C,2.1 x 106 N/C and 6.42 x 105 N/C.
What is an electric field?An electric field is a physical field that surrounds a charged particle and exerts a force on all other charged particles in the field to attract or repel each other. Electric fields are generated by electric charges and time-varying currents. Both electric and magnetic fields are manifestations of the electromagnetic field, one of nature's four fundamental interactions (also called forces). Electric fields are important in many areas of physics and are used in electrical engineering. For example, in atomic physics and chemistry, the electric field is the gravitational force that holds atomic nuclei and electrons together. It is also the force responsible for the chemical bonds between atoms that form molecules.
R = 40 cm = 0.4 m ; q = 31.9 \muC = 32 x 10-6 C ;
We need to find the expression for E field for given geometry.
from Gauss law,
(r). dA = Qin/ e0
E(r) \oint dA = Qin/ e0
E(r) . 4 pi r2 = Qin/ e0
E(r) = Qin/4 pi[tex]r^{2}[/tex]
For, Qin = Q (4 pi r3 / 4 pi R3) = Q (r/R)3 putting this in above equation
E(r) = Q r3/4 pir2
R3 = E(r) = Q r /4 piR3
E(r) = Q r /4 pi R3 (1)
For, Qin = Q
E(r) = Q/4 pi r2 (2)
(a) Since r = 0 is r < R
Using 1
E(r) = E(0) = 0
(b) r = 0.1 m
Again using 1
E(r) = Q r /4 piR3
E(0.1) = 9 x 109 x 37 x 10-6 x 0.1 / (0.4)3 = 5.2 x 105 N/C
Hence, E(0.1) = 5.2 x 105 N/C
(c) r = 0.4 m
We will use (2) here
E(r) = Q/4 pi r2
E(0.4) = 9 x 109 x 37 x 10-6 / (0.4)2 = 2.1 x 106 N/C
Hence, E(0.4) = 2.1 x 106 N/C
d)r =0.72 m
We will use (2) here
E(r) = Q/4 pi r2
E(0.72) = 9 x 109 x 37 x 10-6 / (0.72)2 = 6.42 x 105 N/C
Hence, E(0.4) = 6.42 x 105 N/C
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A driver starts his parked car and within 5 hr reaches a speed of 60 km/h, as he travels east. what is his acceleration?
Answer:
change in speed) / (time for the change)
and the direction of the change.
Acceleration = (60 - 0) km per hour / 5 sec = 12 km per hour per second, east.
I hear teachers all over the country complaining about that ugly unit.
It has to be changed to a more familiar unit of acceleration.
(12 km/hour) x (1 hour/3600sec) = 12,000/3600 = 3-1/3 meter/sec.
His acceleration is 3-1/3 meters per second² .
Explanation:
a
Answer:
u=0
v=60 km/ hr
60 \times 1000 \\ 60 \times 60 = 1800
t =5
t = 5 \times3600 = 18000
a= ?
a = v - u \div t
= 1800 - 0 \div 18000 \\
1m/s^2\: ans
technician a says the current that is induced when the magnetic field of a wire coil collapses after a circuit is opened has a much lower voltage than the voltage in the closed circuit. technician b says any coil of wire in an electrical system can produce hundreds of volts when it is de-energized. who is correct?
Tech B is correct as any coil of wire in an electrical system can produce hundreds of volts when it is de-energized, because of reverse voltage spike.
When there is no load attached and no current flowing, a voltage source (batteries, power supplies, etc.) is said to have an open circuit. It will always be greater than any voltage in a "closed circuit." The output voltage decreases as soon as you start drawing current from the source because of a voltage drop across that resistance.
Back EMF is the term for the reverse voltage spike that results from the coil's magnetic field collapsing when the armature moves away from coil after it has been de-energized (Electromotive Force).
Therefore, Tech B is correct as any coil of wire in an electrical system can produce hundreds of volts when it is de-energized, because of reverse voltage spike.
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an auditorium measures 30.0 m ✕ 15.0 m ✕ 5.0 m. the density of air is 1.20 kg/m3. (a) what is the volume of the room in cubic feet? 79458 correct: your answer is correct. ft3 (b) what is the weight of air in the room in pounds?
dimension = 30.0 m ✕ 15.0 m ✕ 5.0 m.
density = 1.20 kg/m3
(a)volume = lenght * breadth * height
= 30 * 15 * 5
= 2250 metre cube = 2.25 cubic meter
(b) mass of air = density * volume
mass of air = 1.2 * 2250
mass of air = 2700kg
weight = mass * 9.8
= 2700 * 9.8
= 26,460 N
The definition of Density is the amount of matter in a given space, or volume Density = mass/volumeunits for density kg/m^3Density of water 1g/mlSalt water is denser that is why don't sink as easily.To know more about density visit : https://brainly.com/question/15164682
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Which 'advanced' material changes shape with an applied voltage?
a. piezoelectric
b. magnetostrictive
c. shape-memory alloy
d. magnetorheological
The 'advanced' material that changes shape with an applied voltage is: a. piezoelectric
A piezoelectric material has the ability to transform electrical energy into mechanical energy and mechanical energy into electrical energy and due to this can change its shape in response to applied voltage.
The piezoelectric materials are natural or synthetic crystals that do not have a defined center of symmetry. Some piezoelectric materials are found naturally as some crystals, ceramics, DNA, enamel and others.
These materials are classified into two groups:
Piezoelectric nature: quartz, tourmaline, among others.Ferroelectrics: lithium nitrate, berlinite, in the form of monocrystalline materials and ceramics or polar polymers, which when subjected to polarization obtain piezoelectric characteristics.What is voltage?Voltage is the quantity that expresses the amount of electricity that exists in an electrical circuit.
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