The velocity of the projectile just prior to the collision would be 167.31 m/s.
with respect to the Principle of Energy Conservation, we can write
U1 + K1 = U2 + K2
where U1 and U2 are the Initial and final gravitational potential energies.
and K1 and K2 are the Initial and final kinetic energies.
Putting all the appropriate values of the gravitational potential energy and kinetic energy, we get
(m+M)g (y2 - y1) = (1/2) x (m+M) x ([tex]V1^{2} - V2^{2}[/tex])
or, g(y2-y1) = (1/2) x ([tex]V1^{2} - V2^{2}[/tex])
so , v1 we can write
v1 = [tex]\sqrt{v_{2} ^{2} + 2 * g * (y2-y1)}[/tex]
v1 and v2 are the initial and final speed
Now, since the collision is inelastic collision, so we can write
where,
[tex]mv_{0p}[/tex] is Velocity of the project prior to the collision, measured in meters per second.
[tex]Mv_{0B}[/tex] Velocity of the ballistic pendulum prior to the collision, measured in meters per second.
As we know that from quetion, v2 = 0 ; g = 9.8 , y2-y2 = 14cm = 0.14 m , m = 0.025 kg, M = 2.5kg and v0B = 0 ,
so putting all values
v1 = [tex]\sqrt{0^2 + 2 * 9.8 * 0.14}[/tex]
v1 = 1.6565 m/s
again solving for [tex]v_{0p}[/tex] ,
[tex]mv_{0p}[/tex] = [tex]= (m+M) v1 - Mv_{0B}[/tex]
Vop = 167.31 m/s
Hence the velocity of the projectile just prior to the collision is 167.31 m/s.
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5) A helicopter is ascending with a velocity of 19.6m/s. When it is at a distance of 156.8m above the ground,a stone is dropped. How long does the stone take to reach the ground?
The time takes by the stone takes to reach the ground is 2 sec.
Velocity is the directional pace of an item in motion as an indication of its rate of exchange in the role as determined from a selected frame of reference and as measured by way of a selected standard of time.
Calculation:-
S = ut + 1/2 at²
156.8 = 19.6t + 1/2×9.8t²
4.9t² +19.6t - 156.9 = 0
t = 2 sec
Average velocity is defined as the trade in position or displacement (∆x) divided by the time durations (∆t) wherein the displacement takes place. The common velocity can be effective or negative depending upon the sign of the displacement. The SI unit of average velocity is meters per second (m/s or ms-1).
Average velocity is calculated by means of dividing your displacement (a vector pointing out of your initial role in your final position) through the entire time; the average pace is calculated by way of dividing the overall distance you traveled by means of the total time.
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George has a mass of 65 kg what would George weigh on the moon the gravitational field strength on the moon is 1.6 N
Answer:
Weight of George on Moon =104 N
Explanation:
why does the radial velocity method of detecting extrasolar planets only give us the minimum mass of a planet, i.e. a lower limit?
According to some astronomers, at least some of the "planets" discovered using the radial-velocity method are actually very low-mass stars rather than planets. This issue with radial velocity is caused by the fact that the technique can only track a star's motion in relation to the Earth.
The smallest, coolest, and dimmest Main Sequence stars are low mass stars, which are orange, red, or brown in colour. Low mass stars have masses less than half that of the Sun. Low mass stars have extended lives because their hydrogen fuel depletes very slowly.
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How are the acceleration the net force and mass of an object related
Please write it in your own words
Mathematically speaking, acceleration, net force, and mass of an object are related as [tex]F = m \times a[/tex], where F stand for net force, m for mass, and a for acceleration.
What is the second law of Newton?The formula F = m × a, which asserts that the net force acting on an object is equal to the rate at which its momentum is changing, is derived from Newton's second law of motion.
The rate of change of momentum is proportional to acceleration when mass is assumed to be constant.
As vectors, which also have direction and magnitude, force and acceleration imply that if the net force is moving downhill, the acceleration will also be moving downwards. A scalar quantity is mass.
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A car goes around a curve with a radius of 50m at a constant speed of 25 m/s.
What is the centripetal acceleration
Centripetal acceleration is 12.5 m/s².
What is centripetal acceleration?Centripetal acceleration is a characteristic of an object's motion along a circular path. Centripetal acceleration applies to any item travelling in a circle with an acceleration vector pointing in the direction of the circle's center. In your daily existence, you must have encountered numerous instances of centripetal acceleration. A centripetal acceleration occurs when you drive in a circle, and a centripetal acceleration also occurs when a satellite orbits the earth. Centripetal refers to being in the center.
Given parameters:
Radius of the curve; r = 50 m.
Constant speed of the car; v =25 m/s.
We have to find centripetal acceleration = ?
We know that; centripetal acceleration of an object is given by:
a = v²/r
So, the centripetal acceleration of the car = v²/r = (25×25)/50 m/s²
= 12.5 m/s².
Hence, centripetal acceleration of the car is 12.5 m/s².
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You place a basketball in the back of a pickup truck and then accelerate the pickup quickly.
Describe the motion of the ball relative to:
(a) the ground and
(b) the pickup.
a)When the pickup truck accelerates forward then the ball will shift to the back of the of the truck because of inertia relative to ground.
b)You place a basketball in the back of a pickup truck and then accelerate the pickup quickly then ball would be traveling at the same speed with respect to the truck.
What do you mean by relative motion?Relative Motion refers to the motion of any object with respect to a particular point.
For example, a ball thrown upward in a moving object such as bus, would be traveling in the same speed with respect to the bus and would fall in relation to that speed.
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oil spill thickness can be measured by microwave reflection. a drone directs microwave beam from above. the two oil surfaces reflect microwave back to the drone. the refractive index is 1.5 for crude oil, and 1.34 for sea water. at one spot, the strongest reflected frequency (0th order interference) is 5 ghz. find the oil thickness in cm.
Oil spills at sea are frequently assessed based on their visual appearance to determine their characteristics, status, and slick thickness.
This paper reviews these appearances and the oil qualities that go along with them. Oil slicks that are thinner than a rainbow sheen (3 m) in thickness can be estimated by how they appear. There is a compelling physical reason for rainbow sheens. A certain oil look is not connected with larger (>3 m) oil slicks. It was once believed that the appearance of surface discharges from ships was associated with the discharge rate and vessel speed; however, this theory has since been disproved.
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earth exerts a gravitational force on the moon, keeping it in its orbit, the reaction to this force, in the sense of newton's third law is
According to Newton's third law, the response to this force is, the gravitational force exerted on Earth by the Moon.
What is gravitational force?Newton's Third Laws are a pair that describe the gravitational attractions of the Earth and Moon. If object A applies a force to object B, consequently object B must apply a force to object A in the opposite direction and of equal strength. Equal and opposing gravitational pulls are exerted by the Earth's gravity on the Moon and the Moon's gravity on the Earth. The Earth's gravity keeps the Moon in an orbit around us. The direction of the Moon's motion is continually changing. This indicates that, despite moving at a constant pace, the Moon is always accelerating due to gravity. Therefore, there is a gravitational force exerted on Earth by the Moon.
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What is the acceleration a1 of the block when it passes through its equilibrium position?.
The accelaration is 0.
What is accelaration?
accelaration rate at which velocity change with time, in terms of both speed and direction.
Sol-The restoring force in case of simple harmonic motion is an elastic force of the spring. It could be found by the use of Hooke's law F = - kx. Here k - the spring constant and x - deformation of the spring (change of its length from equilibrium position).
We see that this is a variables force that is depends on the given displacement of their mass-spring system of x. Minus sign tells us that the direction of this force is opposite to that of the displacemnt; as a result of this force brings the mass of the back to the equilibrium position (this is why we called it a restoring force).
As any force, restoring force could be found using Newtons second law F = ma, where m - mass of the body and a - acceleration of the body.
Now we can write:
When the body goes through equilibrium position its displacement x is zero. Hence, acceleration also 0.
BTW, the maximum value of the accelaration we will have when the amplitude of this mass-spring system is the maximum. At this points the direction of the mass-spring pendulum switches to the opposite. Those points we are call inflection points.
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A wood burning stove is used to heat the air in a small cabin. What types of heat transfer are involved?.
A wood burning stove is used to heat the air in a small cabin. Conduction and radiation heat transfer are involved.
Conduction heat transfer is the switch of warmth with the aid of molecular excitement within a material without bulk motion of the problem. Conduction warmth transfer in gases and liquids is due to the collisions and diffusion of the molecules at some point of their random movement.
A common instance of conduction is the technique of heating a pan on a range. the heat from the burner transfers at once to the surface of the pan. Temperature is a degree of the quantity of kinetic energy processed with the aid of the debris in a sample of count.
Conduction is the transfer of energy from one molecule to another by direct contact. This transfer occurs when molecules hit against every different, just like a game of pool where one shifting ball strikes some other, causing the second to transport.
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Which correctly lists the types of matter, in terms of their atoms, in order from least tightly packed to most tightly packed?.
The many ways in which the particles of the phases are arranged are called states of matter. Gas, liquid, and solid are the three types of matter, from least to most densely packed.
In contrast to solids or liquids, the atoms are much more widely spaced out, and they randomly collide with one another. Any container can be filled with a gas, but the gas will escape if the container is not sealed.Solids have the largest density of the three natural states of matter. This is caused by how tightly and closely atoms are packed.Due to the fact that gas particles are already far apart and have more freedom to move, gases expand more when heated than solids do.
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Answer:
the answer is gas , liquid ,solid
Explanation
common since
now consider these conditions with a thin film of water on the surface. if the air is dry and the schmidt number sc is 0.6, what is the evaporative mass flux? is there net energy transfer to or from the water?
Evaporation is a simultaneous heat and mass transfer process. This phenomenon occurs on saturated liquid surfaces where vapor diffuses into unsaturated gases.
Evaporation is a heat transfer process in which the thermal energy of a liquid is released to the environment. The faster the liquid evaporates, the cooler it is. Besides the type of liquid, there are several other factors that affect the evaporation rate of liquids. I need to fix them for testing. The latent heat of a liquid can be used to transfer heat by absorbing the energy required to evaporate that liquid. The absorbed heat is released by condensing liquid on the outside of the enclosure. When a liquid evaporates in a sealed container, its weight remains the same. Like a tennis ball, gas particles are affected by gravity and therefore hit the bottom of the container more often than the top.
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why does the mass of a rock weigh down on earth but not in space if someone answers this i will give then 20 points.
Answer:
because there is no gravity in space
Explanation:
The weight of an object is a force. It is the force with which a body is attracted toward Earth or another celestial body. This means that when you are in space, away from Earth, objects do not weight anything since they do not feel gravitational attraction to the Earth.
At t = 0 the end you are oscillating is at its maximum positive displacement and is instantaneously at rest. Write an equation for the displacement as a function of time at a point 2. 50 m from that end. Assume that no wave bounces back from the other end.
At t = 0 the end you are oscillating is at its maximum positive displacement and is instantaneously at rest. The displacement as a function of time at point 2. 50 m from that end.
Y= Asin{wt- (2.5m)k + pi/2 } Or Y= Asin{wt- (0.025mm)k + pi/2 }.
The oscillatory behavior, unexplainable in terms of linear theory, is characterized via a regular amplitude and frequency decided by using the nonlinear properties of the system. limit cycles are distinguishable from linear oscillations in that their amplitude of oscillation is impartial of preliminary conditions.
This kind of behavior is known as oscillation, a periodic movement among two points. Plucking a guitar string, swinging a pendulum, bouncing on a pogo stick—those are all examples of oscillating motion.
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please help 20 POINTS + MARK BRSINLIEST
If a cheetah can run at a top speed of 30 m/a. How long would it take the cheetah go cover 600m
thank you!<3
Answer: 20
Explanation:
If you were to combine two carbon-12 atoms in a fusion process, what element would you get?.
If we combine two carbon-12 atoms in a fusion process, then we get the element Mg (magnesium) atomic no. of Mg = 12.
Fusion would be the joining of two smaller nuclei to form a larger as well as heavier nucleus, whereas fission is the breaking of a heavy nucleoplasm into lighter nuclei. Energy was absorbed or released as a result of fission as well as fusion.
A magnesium-24 nucleus (Z = 12, A = 24) has the same nucleons as two carbon-12 nuclei (Z = 6, A = 12). The reaction is therefore a fusion of two carbon-12 nuclei, and no other particles are produced:
126C+126C→2412Mg
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Mary is traveling at a speed of 35 m/s sees a squirrel run across the road in front of her and slams on the brakes. Four seconds later she has stopped. What is her acceleration?.
After 4 seconds the velocity function attains a=8.75m/s².
Given-
Velocity= 35m/s
time=4sec
To find out acceleration, we can understand the following-
Acceleration means rate of change of velocity.
In this question the velocity depreciates to zero i.e. the slope of the graph falls off with negative slope.
This value has negative impact on force as the resultant force is outcome of application of brakes where V=0 as time progresses.
Mathematically, [tex]a=\frac{dv}{dt}[/tex]
v- means velocity .
calculations-
a=35/4
a=8.75m/s²
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They are representative cells of the connective tissue itself. 1 point A) Mast cells B) Hepatocytes C) Fibroblasts D) Plasmocytes E) Granulocytes.
Hello..!
Fibroblasts are the representative cells of connective tissue proper.
Fibroblasts are the most common type of cells found in connective tissue.
Some of its functions are:
They help wound healing.They synthesize the extracellular matrix of connective tissue.Answer:
It is a
Explanation:
because it is the most common connective tissue
why do the peak in the current and the peak in the voltage happen at different times in an rlc circuit driven by an ac power supply?
When an inductive component is present in a circuit, the current (iL) will trail the voltage by one-fourth of a cycle.It can be claimed that the current lags the voltage by 90° because one cycle is frequently described as 360°. The inductive reactance alters as the current changes, which causes this phase shift.
As the frequency rises in an inductive circuit, the impedance rises as well, reducing the current.As the frequency rises in a capacitive circuit, the impedance falls, increasing the current.The current in a restrictive circuit won't fluctuate.
Impedance can be capacitive or inductive at lower frequencies, and it can alter as the frequency varies.
The capacitive and inductive components of impedance become equal and opposite at a specific frequency known as the resonant frequency, and they entirely cancel each other out. At this frequency, the circuit becomes purely resistive.
Through this point, the circuit switches from capacitive to inductive, or vice versa, depending on whether we are changing from a lower to a higher frequency.This fact is widely applied in resonant circuits and filters for a variety of purposes.
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if a 0.6 a light bulb powered by 120-v runs for a whole day, how many kilowatt-hours does it use in that day? note that 1.0 kwh
The kilowatt-hours the light bulb ran for that day is 1.73 kilowatt-hours per day.
Briefing :One Watt is the amount of work that is done in an electrical circuit when one ampere of current passes through a conductor with a one Volt electrical potential difference:
Power = Voltage * Current
1W = 1V * 1A
So from the question,
we have Current= 0.6A
Voltage= 120V
So to find out the Power,
we use Power = Voltage * Current
Power = 120*0.6
Power = 72W =[tex]\frac{72}{1000}[/tex] = 0.072 kW.
To find the kilowatt-hours in a day,
we consider the hours it ran which is 24 hours.
so,
0.072*24 =1.728 kWh =1.73 kilowatt-hours.
Therefore, the light bulb ran for 1.73 kilowatt-hours per day.
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During the final stage of the cell cycle, cytokinesis allows the cell to finish dividing, creating with copies of dna.
During the final stage of the cell cycle, cytokinesis allows the cell to finish dividing, creating copies of DNA: Cytokinesis is the final stage of cell division in eukaryotes as well as prokaryotes. During cytokinesis, the cytoplasm splits in two and the cell divides.
Cytokinesis is part of the cellular division technique in the course of which the cytoplasm of an unmarried eukaryotic mobile divides into two daughter cells. Cytoplasmic division begins in the course of or after the late tiers of the nuclear department in mitosis and meiosis.
Cytokinesis is the physical procedure of mobile division, which divides the cytoplasm of a parental mobile into daughter cells. It occurs concurrently with forms of nuclear division referred to as mitosis and meiosis, which occur in animal cells.
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Answer:
-Two Cells
-Identical
Explanation:
You're welcome.
a converging lens with a focal length 7.00 cm forms an image of a real object of height 4.00 mm. the image is 1.30 cm tall and upright. the magnification of the lens is .
The magnification of the lens is 0.3 cm.
The magnification of a lens is defined as the ratio of image height to object height. It is also given by image distance and object distance. It is equal to the ratio of image distance to object distance. The magnification of a concave mirror is negative if the image is real and inverted.
calculation:-
The magnification of the lens is = height of image/ height of object
= 1.30 cm/ 4cm
= 0.3
The scale factor is given as 1 which also means two things. The image has the same height as the object. The distance from the mirror to the image is the same as the distance from the mirror to the object. A magnification of less than 1 means that the image produced by the lens is smaller than the original size of the object.
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the rate of flow of free electrons in a conductive material is called: group of answer choices current ampere voltage coulomb
Electric current is the name given to the movement of electrons within a conductor. The change in charge over time ,that is referred to as current.
Each electron has a unique charge .We often measure in coulombs rather than electrons because there are so many electrons.The flow of electrons, or the flow of negative charge, is really in the opposite direction of current, which is a terrible historical decision. In that case, negative current is the correct response.The item does not have to be a "conductor" to measure current flow, as a last purely technical point. Since conductance is a continuous scale rather than a binary option, all objects have conductance or, in the other direction, resistance .To know more about electric current
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A piece of metal with a mass of 22 g at 92 °c is placed in a container containing 70. 3 g of water at 21 °c. The final temperature of the mixture is 25. 4 °c. What is the specific heat capacity of the metal? assume that there is no energy lost to the surroundings.
The specific heat capacity of the metal can be calculated using calorimetric equation. It is obtained as 0.882 J/°Cg .
What is calorimeter?Calorimeter is a thermal device used to determine the heat energy lost or gained by a substance in a reaction. It connects the heat energy q with the mass m and temperature difference ΔT and the specific heat capacity c by the expression below:
q = mc ΔT.
It is give there is no energy lost to the surroundings. Hence, the heat is transfered from the metal to water. Therefore the heat energy of expression for water can be equated to that of the metal where specific heat capacity of water is 4.18 J/°Cg and that of metal be c.
22g × c (92 -25.4°C ) = 70.3 g × (25.4 - 21 °C)
c = 70.3 g × (25.4 - 21 °C) / 22g × (92 -25.4°C )
= 0.882 J/°Cg.
Hence, the specific heat capacity of the metal is 0.882 J/°Cg.
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consider the shock absorbers of a 1250 kg car. how much energy, in joules, must the shock absorbers dissipate in order to damp a bounce that initially has a speed of 0.85 m/s at the equilibrium position?
The car's kinetic energy, K = 384J, is equal to the energy needed to halt it. The law of kinetic energy tells us that: in the equilibrium position, the automobile is moving at its maximum speed according to periodic motion .
using formula: [tex]k=\frac{1}{2}mv^{2}[/tex].
How is energy defined?Electricity as described to by academics as the aptitude for effort. People have figured out how to transform energy from one form to another and then use it to accomplish tasks, making modern civilization possible.
What kinds of energy are there?Chemical, electrical, radiant, mechanical, thermal, and nuclear energy are the six main types of energy. Additional types including electrochemical, acoustic, electromagnetic, and others could be addressed in other studies.
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a car has a acceleration of 2.5m/s2 and travels for 10 seconds how far does it travel
A car travel for 10 seconds with the speed acceleration is 2.5m/s²,
The distance that might be reached by the car is described below :
Acceleration shown that the car increase the speed every second regularly.
The formula that we can use to calculate the distance is :
S = (Vo × t) + (½ × a × t²)
S = Distance (meter)
Vo = Speed before acceleration (m/s)
t = Time (second)
a = acceleration (m/s²)
We assume that the car is not moving before acceleration, so the speed before acceleration is zero.
S = (Vo × t) + (½ × a × t²)
S = (0 × 10) + (½ × 2,5 × 10²)
S = 0 + 125 = 125 m
So, the car move 125 m distance after acceleration.
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A sledgehammer of mass m = 1.9 kg falls freely vertically downward from a height of h = 2.6 m at an initial speed of v = 11 m/s before striking a partially buried piling. After the blow the piling has moved d = 0.075 m deeper.How much kinetic energy, in joules, does the sledgehammer have just before striking the piling?
Answer:
Kinetic energy= 114.9J
Explanation:
Greetings !
Given values :-
mass= 1.9kg
height=2.6m
velocity= 11m/s
displacement (d)= 0.075m
Required value :-
Kinetic energy (KE)
Solution :-
Firstly, recall the Kinetic energy equation
[tex]ke = \frac{1}{2} mv {}^{2} [/tex]
substitute known variables into the equation
[tex]ke = \frac{1}{2} (1.9)(11) {}^{2} [/tex]
solve for Kinetic energy
[tex]ke = 114.9j[/tex]
Hope it helps!!!
Animals like elephants and birds can foretell of the incoming storm, but humans stay unconcerned. How do they know it?
Animals have been known to exhibit unusual behavior before a storm. This could be due to their keen sense of smell and hearing, along with sensitive instincts. Dogs may also sense the change in barometric pressure that comes with storms, causing them to bark, cuddle, or hide in an attempt to seek shelter.
but in other hand humans did not have much power of smell and hearing therefore they cannot able to foretell.
Hope it helps you.
suppose a heat engine absorbs 1,683 j from the hot reservoir while rejecting 1,069 j to the cold reservoir. calculate the engine's efficiency.
To calculate the engines efficiency learn the hot and cold reservoir.
What is heat reservoir?
A heat reservoir is a body with a constant internal temperature whose mass is sufficiently large for heat to pass through it without changing the temperature.
What is cold reservoir?
The hot reservoir in the context of an automobile engine is the burning fuel, and the cold reservoir is the atmosphere into which the combustion products are exhausted.
Qₐ=1683J
Qr= 1069J
η= Qₐ-Qr/Qₐ
=1683-1069×100
=0.574×100
=57.4%
Therefore, the engines efficiency is 57.4%.
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in the electrical resistor analogy for heat transfer, what are the heat transfer equivalents of current and voltage?
The heat flow has an analogy in the flow of electricity.
what is ohm's law?
The strength of a direct current is inversely related to the resistance of the circuit and directly proportional to the potential difference.
According to Ohm's law, the electrical resistance (R) divided by the voltage potential (E1-E2) equals the current (I) flowing through a wire Re.
I = E₁-E/Re
Since the potential difference and electrical current are analogous to the temperature difference and heat flux in conduction, respectively, the rate of heat conduction through the wall can be expressed as
Q = T₁-T₂/ L/кA = T₁₋T/ R
Where the conductive thermal resistance to heat flow provided by the wall is represented by R = L/кA.
Similar to Ohm's law for electrical circuits, Fourier's law of heat conduction governs heat transfer.
Within the analogy:
The electrical current (I) and heat flow (Q) are relatedthe ratio of electrical resistance to thermal resistancevoltage to temperature (T) in electrical terms (V)the relationship between thermal and electrical conductivityHeat transfer to capacitanceTherefore, the heat flow has an analogy in the flow of electricity.
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