Pick the true statement.In a finite-element solution,A) Natural and essential boundary conditions are satisfied exactlyB) Natural boundary conditions are satisfied exactly and essential boundary conditions are satisfied approximatelyC) Natural boundary conditions are satisfied approximately and essential boundary conditions are satisfied exactlyD) Natural and essential boundary conditions are satisfied approximately
Answers
The true statement is Natural and essential boundary conditions are satisfied approximately. Therefore the correct option is option D.
Natural and necessary boundary conditions are often enforced in a finite-element solution by using numerical techniques that introduce approximations into the solution.
Natural boundary conditions, also known as Neumann boundary conditions, specify the fluxes or gradients of the solution variable at the boundaries while essential boundary conditions, also known as Dirichlet boundary conditions, specify the values of the solution variable at specific points in the domain.
Due to the finite number of elements and nodes used to describe the solution and the approximate nature of the solution-governing equations, both types of boundary conditions are often roughly satisfied in a finite-element solution. Therefore the correct option is option D.
For such more question on Natural:
https://brainly.com/question/28615861
#SPJ11
Related Questions
Un puente de acero de 100 m de largo a 8° C aumenta su temperatura a 24°C ¿Cuánto medirá su longitud? Valor del coeficiente de dilatación para el acero: 11.5 X 10^-6
Answers
La longitud final del puente de acero es 100.018 metros.
Asumamos que la dilatación térmica experimentada por el puente de acero es pequeña, de modo que podemos emplear la siguiente aproximación lineal para determinar la longitud final del puente de acero (\(L\)), en metros:
\(L = L_{o}\cdot [1+\alpha\cdot (T_{f}-T_{o})]\) (1)
Donde:
\(L_{o}\) - Longitud inicial del puente, en metros. \(\alpha\) - Coeficiente de dilatación, sin unidad.\(T_{o}\) - Temperatura inicial, en grados Celsius.\(T_{f}\) - Temperatura final, en grados Celsius.Si tenemos que \(L_{o} = 100\,m\), \(\alpha = 11.5\times 10^{-6}\), \(T_{o} = 8\,^{\circ}C\) y \(T_{f} = 24\,^{\circ}C\), entonces la longitud final del puente de acero es:
\(L = (100\,m)\cdot [1+(11.5\times 10^{-6})\cdot (24\,^{\circ}C - 8\,^{\circ}C)]\)
\(L = 100.018\,m\)
La longitud final del puente de acero es 100.018 metros.
Para aprender más sobre dilatación térmica, invitamos cordialmente a ver esta pregunta verificada: https://brainly.com/question/24953416
Two forces,one of 12 N and another of 24 N,act on a body in such a way that they make an angle of 90degree with each other.Find the resultant of the two forces
Answers
Answer:
26.83 N.
Explanation:
If the angle between two vector is 90°, to get the resultant, we use Pythagoras theorem.
a² = b²+c²......................... Equation 1
Where a = R = Resultant, b = 12 N, c = 24 N.
Substitute these values into equation 1
R² = 12²+24²
R² = 144+576
R² = 720
√R² = √720
R = 26.83 N.
Hence, the result of the two force is 26.83 N.
un cuerpo suspendido en el aire es capaz de:
a) liberar energía al caer
b) puede ejecutar un trabajo
c) posee energía antes de caer
d) todas son correctas
Answers
Answer:
Explanation:
d
Which three things are related according to Newton's second law? force, mass, and acceleration force, matter, and acceleration force, motion, and acceleration force, weight, and acceleration
Answers
Answer:
Force mass and acceleration
Explanation:
in an electrical charge, some charges would repel one another. which is an example of electrical charges that would repel one another?
Answers
In an electrical charge, like charges would repel one another.
An example of electrical charges that would repel one another is two positive charges or two negative charges. Like charges have the same polarity, that is, they have the same charge, and they would repel one another. It's essential to understand the concept of electrical charges in order to understand this concept.
Electric charge is a fundamental property of matter, and it can exist in two types: positive and negative. Like charges repel one another, whereas opposite charges attract one another. The reason why charges attract or repel is that they produce electric fields that interact with other charges.
It is important to note that the magnitude of the electric field is inversely proportional to the square of the distance between two charges.
Learn more about electrical charge
brainly.com/question/28457915
#SPJ11
I have an atomic mass of 108. Who am I?
Answers
Two friends are playing with a toy telephone. Which of the points P,Q and R will vibrate if one of the friends speak into the cup? Justify your answer
Answers
The point that will vibrate the most when one of the friends speaks into the cup is point Q as vibration dampens and energy is lost due to friction.
In a toy telephone, sound is transmitted through a string that connects two plastic cups. When one person speaks into one cup, the sound waves vibrate the cup, which in turn vibrates the string and causes the other cup to vibrate as well.
Assuming that the string is held taut, the vibration of the cups will depend on the placement of the points P, Q, and R, as shown in the figure. If the string is not taut, the cups may not vibrate at all, or the vibrations may be too weak to transmit the sound effectively.
Point P is located at the midpoint of the string, and it will not vibrate much because the two cups are attached to it and there is no space for it to move.
Point Q is located at one end of the string, and it will vibrate the most when one of the friends speaks into the cup. This is because the cup will vibrate the string, and the vibration will be transmitted all the way to the other end of the string, where point Q is located.
Point R is located between P and Q, and it will vibrate to some extent, but not as much as point Q. This is because the vibration will be damped as it travels along the string, and some of the energy will be lost due to friction.
Learn more about vibrate here:
https://brainly.com/question/30245263
#SPJ4
The BBB is a law-enforcement agency, so it can force a business to resolve a complaint of a customer. True or False.
Answers
Answer:
ITS FALSE
Explanation:
I just did the quest and I wrote true and I was wronged so put False.
a 9.7 kg rock is thrown with a velocity of 6 m/s from a cliff that is 15 meters high. what is the kinetic energy of the rock the moment it is thrown? your answer should be in joules, rounded to the singles digit (ie 24, not 24.3).
Answers
The kinetic energy of the rock the moment it is thrown is 166 Joules.
The kinetic energy of the rock is given by the formula -
KE = 1/2× m× v², where KE is kinetic energy, m is mass and v is velocity. Here the kinetic energy is independent of height. Keep the values in formula to find the kinetic energy.
KE = 1/2 ×9.7 × 6²
Performing multiplication, division and taking square on Right Hand Side of the equation
KE = 165.6 Joules
Rounding to the single digit, the kinetic energy will be 166 Joules.
Thus, the kinetic energy is 166 Joules.
Learn more about kinetic energy -
https://brainly.com/question/25959744
#SPJ4
Water in the Antarctica usually exists as ice ,making it very difficult to use the water or conduct experiments reqiring the water to be in liquid state .A coffee addicted physisits stationed at a research base requires about 0.8 kg of ice for his coffe on the hour
Answers
Answer:
2730.304 KJ
Explanation:
How much heat is required to convert 0.8 kg of ice at -35°C into steam at 100 C?
Given that:
mass of ice (m) = 0.8 kg = 800 g
Initial temperature (\(T_i\)) = -35°C = 238 K
final temperature (\(T_n\))= 100°C = 373 K
Specific heat of ice (\(S_i\)) = 2.108 J/g.K
Specific heat of water (\(S_w\)) = 4.18 J/g.K
Latent heat of fusion (\(L_f\)) = 334 J/g.
Latent heat of vaporization (\(L_v\)) = 2230 J/g.
\(\Delta T=T_n-T_i=373-238=135K\)
Total heat (Q) required to increase the temperature of ice from the initial temperature of 238K to final temperature of 373 K is given by the equation:
\(Q=m\Delta TS_i+m\Delta TS_w+mL_f+mL_v\\Q=800(135)*2.108+800(135)*4.18+800*334+800*2230\\Q=227664+451440+267200+1784000=2730304J\\Q=2703.304KJ\)
Click to review the online content. Then answer the question(s) below, using complete sentences. Scroll down to view additional questions. Free Weights and Machines What are some things to consider when deciding to use free weights or machine weights?
Answers
Machine weights are safer when used correctly, but free weights can be dropped and cause injury. These are safety considerations to keep in mind whether using free weights or machine weights. But because they aren't big, complicated machinery, free weights are less expensive.
What are free weights or machine weights?Resistance machines and free weights are very different from one another in terms of how they work and the results they can create.
Machines are set in place and can only move in a few directions, whereas free weights can be moved in whatever direction the user selects. This is the main distinction between machines and free weights. Free weights require you to utilize more stabilizing muscles to control them, whereas resistance machines help you by stabilizing you while you move.
Learn more about free weights here:
https://brainly.com/question/21991373
#SPJ2
Help Please!
Think about how you can get the color white from using light versus how you can get the color white from using paint or dye. Now, think about how you can get the color black from using light versus from paint or dye. Using this, explain why we call coloring from light “additive” and coloring from paint or dyes “subtractive”.
Answers
Answer: Subtractive colors absorb OR subtract some lights causing it to reflect, and creating white.
Explanation:
Subtractive colors are created by completely or partially absorbing (or subtracting) some light wavelengths and reflecting others.
The force of gravity pulls down on your school with a total force of 400,000 newtons. The force of gravity pulling down on your school would be exactly twice as much if your school: a Had twice as much mass b Was twice as tall c Had twice as much volume d Covered twice as much area pleaseeee help
Answers
Answer:
A
Explanation:
Force of gravity can be expressed as:
F = GMM/R^2
Where
F = gravitational force
M = mass
R = distance
Also, W = mg
From the above equation, we can deduce that force of gravity actually depends on mass and not volume.
The correct answer is therefore A.
Had twice as much mass
Therefore, the force of gravity pulls down on your school with a total force of 400,000 newtons. The force of gravity pulling down on your school would be exactly twice as much if your school Had twice as much mass
4. A car accelerating at 60 meters/second is hit in an accident by a bus. The net force exerted on
the car is 30000 Newtons. What is the car's mass?
Answers
Answer:
500kg
Explanation:
mass = newtons/force divided by the acceleration rate
m = 30,000/60
m = 500
what is the damping ratio of a series rlc circuit with a resistance of 100 ohms, an inductance of 0.1 mh and 100 pf?
Answers
Because using maximum current, it resonant current, and the supply voltage is 100 V (Vs = RI = 1000 x 0.1). Equating the reactances of the inductive and capacitive components the resonant frequency, f° =159.155
What do current and an electron mean?Electron current is the name for the movement of electrons. Negative to positive electron flow occurs at the terminal. Conventional current, or just current, behaves as though positive charge carriers are what produce current flow. From the positive terminal towards the negative, conventional current flows.
What is current fundamental law?Ohm's law, or V=IR, is the most fundamental electrical law. The V indicates the potential difference between two chargesdifference of two charges is indicated by the V, which stands for voltage. Alternatively, it measuressaid, it is a measurement of the effort necessary to transfer a unit charge between two places.
To know more about current visit:
https://brainly.com/question/14287268
#SPJ4
Critics of the electoral college argue that the system can result in the selection of —
Answers
Answer:
President who did not win the popular vote
Explanation:
Critics of the Electoral college argue that the system can result in a selection of what?
What is the characteristic of the columns in the periodic table?
Answers
Answer: The periodic table also has a special name for its vertical columns. Each column is called a group. The elements in each group have the same number of electrons in the outer orbital.
Explanation: :)
he first right-hand rule relates which two quantities?
A.
current (thumb) to magnetic field (fingers)
B.
magnetic field (thumb) to current (fingers)
C.
current (thumb) to force (fingers)
D.
force (thumb) to current (fingers)
Reset Next
Answers
Answer: A.
current (thumb) to magnetic field (fingers)
Answer:
A. current (thumb) to magnetic field (fingers)
Explanation:
According to the Right-Hand Thumb rule, if we are holding a current- carrying straight conductor in our right hand such that the thumb points toward the direction of current, then the fingers will wrap around the conductor in the direction of the field lines of the magnetic field.
Hope it helps.
If you have any query, feel free to ask.
What is the current in a 160V circuit if the resistance is 10Ω?
Answers
Hello!!
For this, use the formula:
\(\boxed{I=V/R}\)
\(\textbf{Being:}\)
\(\sqrt{}\) \(I = Current = ?\)
\(\sqrt{}\) \(V = Voltage = 160 \ V\)
\(\sqrt{}\) \(R = Resistance = 10\ \varOmega\)
\(\textbf{If we replace and resolve it}\)
\(I = 160\ V / 10\ \varOmega\)
\(I = 16\ A\)
\(\text{The current of that circuit is \textbf{16 Amperes}}\)
what has more momentum a large truck stopped at a stop sign or a motorcycle moving down the road.
Answers
20m/s at 275 degrees from the x-axis
Answers
So, the magnitude of velocity concerning:
x-axis approximately 1.74 m/s to the x-positive, andy-axis approximately -19.92 m/s (19.92 m/s to the y-negative).Introduction and Formula UsedHi! Here I will help you to solve problems related to the velocity vector. In this problem, we know that a particle moves at a certain speed with an angle (\( \sf{\theta} \)) on the x-axis. Of course, with conditions like this, velocity can be described on the x or y-axis. The result of the x-axis velocity is horizontal movement. On the other hand, the y-axis velocity is vertical movement. See the equation below to know the magnitude of velocity concerning the x and y-axis.
Velocity respect to the x-axis\( \boxed{\sf{\bold{v_x = v_i \cdot \cos(\theta)}}} \)
Velocity respect to the y-axis\( \boxed{\sf{\bold{v_y = v_i \cdot \sin(\theta)}}} \)
With the following condition:
\( \sf{v_i}\) = the initial velocity\( \sf{\theta}\) = elevation angle\( \sf{v_x}\) = the velocity respect to the x-axis\( \sf{v_y}\) = the velocity respect to the y-axisProblem SolvingWe know that:\( \sf{v_i}\) = the initial velocity = 20 m/s\( \sf{\theta}\) = elevation angle = 225°What was asked?\( \sf{v_x}\) = the velocity respect to the x-axis = ... m/s.\( \sf{v_y}\) = the velocity respect to the y-axis = ... m/s.Step by step:Find the magnitude of velocity respect to the x-axis\( \sf{v_x = v_i \cdot \cos(\theta)} \)
\( \sf{v_x = 20 \cdot \cos(275^{\circ})} \)
\( \sf{\bold{v_x \approx 1.74 \: m/s}} \)
Find the magnitude of velocity respect to the y-axis\( \sf{v_y = v_i \cdot \sin(\theta)} \)
\( \sf{v_y = 20 \cdot \sin(275^{\circ})} \)
\( \sf{\bold{v_y \approx -19.92 \: m/s}} \)
ConclusionSo, the magnitude of velocity concerning:
x-axis approximately 1.74 m/s to the x-positive, andy-axis approximately -19.92 m/s (19.92 m/s to the y-negative)there are three rollers under a conveyor belt, and each roller has a radius of 8 centimeters. the rollers turn at a rate of 2 revolutions per second. what is the linear speed of the conveyor belt
Answers
The linear speed of the conveyor belt is 100.5 cm/s, if the radius of the roller is 8 cm and revolution speed 2 revolution per second.
The radius of the roller, r = 8 cm
Number of revolution per second, n = 2
Angular speed of the roller, ω = 2πn/T
Let the linear speed of the conveyor belt = v
ω = 2π×2/1 = 4π/sec
Linear speed is defined as the product of the radius and angular speed.
v = r × ω
v = 8 × 4π
v = 8 × 4 × 3.14
v = 100.5 m/s
To know more about Angular speed, here
https://brainly.com/question/14663644
#SPJ4
What are three examples of objects that float in water?
(Please don't copy and paste)
Answers
Answer:
anything inflated, a can, and a pencil.
Explanation:
these objects can flaot on water because theyre mass is not enough for the objects to sink.
Please help 25 points Add the following numbers and round your answer to the correct number of significant figures:
90.0 + 80 =
Show both the unrounded and rounded answer.
Answers
Explanation:
Wouldn't this just be 90+80 meaning the answer would be 170?
What is the region around a magnet where the magnetic force is exerted?
A.
magnetic poles
B.
tesla
C.
charge field
D.
magnetic field
Answers
Answer:
Magnetic field
Explanation:
Answer:
magnetic field
Explanation:
How does wind affect the amount of rain?
3 or sentence
Answers
Explanation:
Hope it helps you!!
The ratio between the force of friction and the normal force is called:
A.the drag
B.rolling friction
C.the coefficient of friction
D.the starting friction
Answers
Answer:
C.the coefficient of friction
Explanation:
Hope this helps. can i have brainliest thanks!
A 6.0 kg bowling ball moving at 3.5m/s to the right makes a collision, head-on, with a stationary 0.70 kg bowling pin. If the ball is moving 2.77 m/s to the right after the collision, what will be the velocity ( magnitude and direction) of the pin?
Answers
Answer:
The velocity of the pin will be 6.26 m/s in the right direction.
Explanation:
Let's use the momentum conservation equation.
\(p_{i}=p_{f}\)
Initially, we have:
\(p_{i}=m_{b}*v_{ib}\)
Where:
m(b) is the ball massv(ib) is the initial velocity of the ballNow, the final momentum will be:
\(p_{f}=m_{b}*v_{fb}+m_{p}*v_{fp}\)
Where:
m(p) is the pin massv(fb) is the final velocity of the ballv(fp) is the final velocity of the pinThen, using the equation of the conservation we have:
\(m_{b}*v_{ib}=m_{b}*v_{fb}+m_{p}*v_{fp}\)
\(6*3.5=6*2.77+0.7*v_{fp}\)
\(6*3.5=6*2.77+0.7*v_{fp}\)
\(v_{fp}=6.26 m/s\)
Therefore the velocity of the pin will be 6.26 m/s in the right direction.
I hope it helps you!
Investigators are exploring ways to treat milk for longer shelf life by using pulsed electric fields to destroy bacterial contamination. One system uses 8. 0-cm-diameter circular plates separated by 0. 95 cm. The space between the plates is filled with milk, which has the same dielectric constant as that of water. The plates are briefly charged to 30,000 V. What is the capacitance of the system? How much charge is on each plate when they are fully charged?
Answers
The given system consists of two 8.0-cm-diameter circular plates separated by 0.95 cm, which are filled with milk. The capacitance of the system can be calculated as follows:Explanation:Capacitance is defined as the charge stored per unit potential difference,using the formula C = Q/V, where C is capacitance, Q is charge, and V is potential difference.
In this case, the capacitance of the system can be calculated using the formula for the capacitance of parallel plate capacitors:
\(C = εA/d\),
where C is capacitance, ε is the permittivity of free space, A is the area of each plate, and d is the distance between the plates.The area of each plate can be calculated using the formula for the area of a circle:
\(A = πr²\),
where r is the radius of the circle.Substituting the given values into the formula, we get:
\(C = εA/dC = (8.85 × 10⁻¹² F/m) × [(π × (8.0/2 × 10⁻² m)²)/0.95 × 10⁻² m]C = 6.21 × 10⁻¹⁰ F\)
Thus, the capacitance of the system is \(6.21 × 10⁻¹⁰ F\).
The amount of charge on each plate when they are fully charged can be calculated using the formula Q = CV, where Q is charge, C is capacitance, and V is potential difference.Substituting the given values into the formula, we get:
\(Q = CVQ = (6.21 × 10⁻¹⁰ F) × (30,000 V)Q = 1.86 × 10⁻⁵ C\)
Thus, the amount of charge on each plate when they are fully charged is \(1.86 × 10⁻⁵ C\).
To know more about capacitance visit :
https://brainly.com/question/31871398
#SPJ11
What type of force holds the atoms within a molecule together?
O intramolecular
O electromagnetic
O gravity
O nuclear
Answers
Therefore, Intramolecular forces holds atom that in same molecules together
Learn more at : https://brainly.com/question/15491565?referrer=searchResults
Answer:
A. IntramolecularExplanation:
I just did this question and this was the right answer for me. Hope this helps!