A rigid 14-L vessel initially contains a mixture of liquid water and vapor at 100°C with 12.3 percent quality. The mixture is then heated until its temperature is 180°C. The final state is superheated water and the internal energy at this state should be obtained by interpolation. Calculate the heat transfer required for this process. Use data from the steam tables.

Answers

Answer 1

Answer:

98.13kJ

Explanation:

Given that;

The rigid 10-L vessel initially contains a mixture of liquid water & vapor at

[tex]T_1 =100^0C\\T_2 = 180^0C[/tex]

We are to calculate the heat transfer required during the process by obtaining our data from the steam tables.

In order to do that, let start with our Energy Balance

So, Energy Balance for closed rigid tank system is given as:

[tex]\delta E_{system} = E_{in} - E_{out}[/tex]

Since the K.E and P.E are insignificant;

∴ K.E = P.E = 0

[tex]Q_{in}= \delta U + W\\Q_{in} = m(u_2-u_1)+ W[/tex]

Where;

m = mass flow rate of the mixture

[tex](u_2-u_1)[/tex] = corresponding change in the internal energy at state point 2 and 1

However, since we are informed that the vessel is rigid, then there is no work done in the system, then W turn out to be equal to zero .i,e

W = 0

we have our above equation re-written as:

[tex]Q_{in}= m (u_2-u_1)+0\\[/tex]

[tex]Q_{in}= m(u_2-u_1)[/tex]

We were told to obtain our data from the steam table, so were going to do just that

∴  At inlet temperature [tex]T_1 = 100^0C[/tex], the given quality of mixture of liquid water and vapor [tex](x_1)[/tex] = 123% = 0.123

Using the equation:

[tex]v_1 = v_f + x_1v_{fg}\\v_1 = v_f + x_1(v_g-v_f)[/tex]

where;

[tex]v_1[/tex] = specific volume at state 1

[tex]v_f[/tex] = specific volume of the liquid

[tex]v_g[/tex] = specific volume of the liquid vapor mixture

The above data from the steam table is given as;

[tex]v_f[/tex]  = 0.001043 m³/kg

[tex]v_g[/tex] = 1.6720 m³/kg

so; we have

[tex]v_1 = 0.001043 + 0.123(1.6720-0.001043)[/tex]

[tex]v_1 = 0.001043+0.123(1.670957)[/tex]

[tex]v_1 =0.001043+0.205527711[/tex]

[tex]v_1= 0.206570711m^3/kg[/tex]

[tex]v_1=0.2065m^3/kg[/tex]

At  [tex]T_1[/tex] = 100°C and [tex]x_1=0.123[/tex];

the following steam data from the tables were still obtained for the internal energy; which is given as:

Internal Energy [tex](u_1)[/tex] at the state 1

[tex]u_1= u_f + xu_{fg}[/tex]

where;

specific internal energy of the liquid  [tex](u_f)[/tex]  = 419.06 kJ/kg

The specific internal energy of the liquid vapor mixture [tex](u_{fg})[/tex] = 2087.0 kJ/kg

∴ since ; [tex]u_1= u_f + xu_{fg}[/tex]

[tex](u_1)[/tex]  = 419.06 + (0.123 × 2087.0)

[tex](u_1)[/tex]  = 675.761 kJ/kg

As the tank is rigid, so as the volume which is kept constant:

[tex]v_2=v_1\\=0.2065 m^3/kg[/tex]

Now, let take a look at when [tex]T_2 = 180^0C[/tex] from the data in the steam tables

Specific volume of the liquid [tex](v_f)[/tex] = 0.00113 m³/kg

specific volume of the liquid vapor mixture [tex](v_g)[/tex] = 0.19384 m³/kg

The quality of the mixture at the final state 2 can be determined  by using the  equation shown below:

[tex]v_2=v_f+x_2v_{fg}[/tex]

[tex]x_2=\frac{v_2-v_f}{v_{fg}}[/tex]

[tex]x_2=\frac{v_2-v_f}{v_g-v_f}[/tex]

[tex]x_2=\frac{0.2065-0.00113}{0.19384-0.00113}[/tex]

[tex]x_2=\frac{0.20537}{0.19271}[/tex]

    = 1.0657

From our usual steam table; we still obtained data for the Internal Energy when [tex]T_2=180^0C[/tex]

Specific internal energy of the liquid [tex](u_f)[/tex] = 761.92 kJ/kg

Specific internal energy of the liquid vapor mixture [tex]u_{fg}[/tex] = 1820.88 kJ/kg

Calculating the internal energy at finsl state point 2 ; we have:

[tex]u_2=u_f+u_{fg}[/tex]

= 761.92 + (1.0657 × 1820.88)

= 761.92 + 1940.511816

= 2702.431816

[tex]u_2[/tex] ≅ 2702.43 kJ/kg

Furthermore, let us calculate the mass in the system; we have:

[tex]m= \frac{V_1}{v_1}[/tex]

where V₁ = the volume 10 - L given by the system and v₁ = specific volume at state 1 as 0.2065

V₁ = the volume 10 - L = 10  × ( 0.001 m³/L)

v₁ = 0.2065

mass (m) =  [tex]\frac{10(0.001m^3/L)}{0.2065}[/tex]

= 0.04842 kg

Now, we gotten all we nee do calculate for the heat transfer that is required during the process:

[tex]Q_{in}= m(u_2-u_1)[/tex]

[tex]Q_{in}= 0.04842(2702.43-675.761)[/tex]

[tex]Q_{in}= 0.04842(2026.669)[/tex]

[tex]Q_{in}= 98.13 kJ[/tex]

Therefore, the heat transfer that is required during the process = 98.13 kJ

There you have it!, I hope this really helps alot!

Answer 2

The heat transfer required for this process is 129.168 kilojoules.

According to steam tables, the initial state of the water inside the vessel is:

[tex]P = 101.42\,kPa[/tex], [tex]T = 100\,^{\circ}C[/tex], [tex]\nu = 0.207\,\frac{m^{3}}{kg}[/tex], [tex]u = 675.761\,\frac{kJ}{kg}[/tex], [tex]x = 0.123[/tex] (Liquid-Vapor Mixture)

Given that process is isochoric, that is, at constant volume, we know the following information:

[tex]T = 180\,^{\circ}C[/tex], [tex]\nu = 0.207\,\frac{m^{3}}{kg}[/tex], Superheated vapor

We need to know the pressure and the internal energy must be determined by using linear interpolation from steam tables twice. First, we use [tex]T = 180\,^{\circ}C[/tex] as our pivot, then we construct the following information by linear interpolation:

Lower bound

[tex]P = 800\,kPa[/tex], [tex]T = 180\,^{\circ}C[/tex], [tex]\nu = 0.24700\,\frac{m^{3}}{kg}[/tex], [tex]u = 2593.9\,\frac{kJ}{kg}[/tex]

Upper bound

[tex]P = 1000\,kPa[/tex], [tex]T = 180\,^{\circ}C[/tex], [tex]\nu = 0.19444\,\frac{m^{3}}{kg}[/tex], [tex]u = 2583.0\,\frac{kJ}{kg}[/tex]

Lastly, we find the expected pressure and internal energy by linear interpolation where specific volume is our pivot:

[tex]P = 952.207\,kPa[/tex], [tex]T = 180\,^{\circ}C[/tex], [tex]\nu = 0.207\,\frac{m^{3}}{kg}[/tex], [tex]u = 2585.605\,\frac{kJ}{kg}[/tex]

Once found all the required information, we can find the required heat transfer ([tex]Q[/tex]), in kilojoules, by means of this formula:

[tex]Q = \frac{V}{\nu}\cdot (u_{2}-u_{1})[/tex] (1)

Where:

[tex]V[/tex] - Volume of the vessel, in cubic meters,[tex]\nu[/tex] - Specific volume of water, in cubic meters per kilogram.[tex]u_{1}[/tex], [tex]u_{2}[/tex] - Initial and final internal energy, in kilojoules per kilogram.

If we know that [tex]V = 0.014\,m^{3}[/tex], [tex]\nu = 0.207\,\frac{m^{3}}{kg}[/tex], [tex]u_{1} = 675.761\,\frac{kJ}{kg}[/tex] and [tex]u_{2} = 2585.605\,\frac{kJ}{kg}[/tex], then the heat transfer required for this process is:

[tex]Q = \left(\frac{0.014\,m^{3}}{0.207\,\frac{m^{3}}{kg} } \right)\cdot \left(2585.605\,\frac{kJ}{kg}-675.761\,\frac{kJ}{kg} \right)[/tex]

[tex]Q = 129.168\,kJ[/tex]

The heat transfer required for this process is 129.168 kilojoules.

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Related Questions

A water pump increases the water pressure from 15 psia to 70 psia. Determine the power input required, in hp, to pump 0.8 ft3 /s of water. Does the water temperature at the inlet have any significant effect on the required flow power

Answers

Answer:

[tex]Power=11.52hp[/tex]

Explanation:

Given data

[tex]p_{1}=15psia\\p_{2}=70psia\\V_{ol}=0.8ft^{3}/s[/tex]

As

[tex]m=p*V_{ol}[/tex]

Assuming in-compressible flow p is constant

The total change in system mechanical energy calculated as:

Δe=(p₂-p₁)/p

The Power can be calculated as

[tex]P=W\\P=m(delta)e\\P=p*V_{ol}*(p_{2}-p_{1})/p\\ P=V_{ol}*(p_{2}-p_{1})\\P=44(psia.ft^{3}/s )*[(\frac{1Btu}{5.404psia.ft^{3} } )-(\frac{1hp}{0.7068Btu/s } )]\\P=11.52hp[/tex]    

The power input required to pump 0.8 ft³/s of water is; P = 11.52 hP

We are given;

Initial pressure; P1 = 15 psia

Final pressure; P2 = 70 psia

Volume flow rate; V' = 0.8 ft³/s

The formula for the mass flow rate is;

m' = ρV'

The total change in the mechanical energy of the system is;

△E = (P2 - P1)/ρ

Now, formula for power is;

P = m' × △E

P = ρV' × (P2 - P1)/ρ

P = V'(P2 - P1)

P = 0.8(70 - 15)

P = 44 psia.ft³/s

Converting to Btu/s gives;

P = 8.142 btu/s

Converting Btu/s to HP from conversion tables gives; P = 11.52 hP

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2) The magnetic field at a distance of 2 cm from a current carrying wire is 4 μT. What is the magnetic field at a distance of 4 cm from the wire?

Answers

Answer:

2 μT

Explanation:

Assuming that the diameter of the current carrying wire is very small compared with its length, we can treat it as an infinite wire.

For an infinite wire, the magnetic field, at a distance r from the wire, is given by Biot-Savart law equation, as follows:

[tex]B = \frac{\mu0*I}{2*\pi*r}[/tex]

where:

μ₀ = 4*π*10⁻⁷

I = current carried by the wire

r = distance from the wire.

So, B₁ can be calculated as follows:

[tex]B1 = \frac{\mu0*I}{2*\pi*0.02m} = 4e-6 T[/tex]

If we change the distance where we want to know the value of B, all other factors remain constant, we can write the following expression for the new value of B, B₂:

[tex]B2 = \frac{\mu0*I}{2*\pi*0.04m}[/tex]

Dividing B1 by B2, and simplifying common terms, we have:

[tex]\frac{B1}{B2} = \frac{0.04m}{0.02m} = 2[/tex]

⇒ [tex]B2 = \frac{B1}{2} = \frac{4e-6T}{2} = 2e-6 T[/tex]

B₂ = 2 μT

Peter the postman became bored one night and, to break the monotony of the night shift, he carried out the following experiment with a row of mailboxes in the post office. These mailboxes were numbered 1 through 150, and beginning with mailbox 2, he opened the doors of all the even-numbered mailboxes, leaving the others closed. Next, beginning with mailbox 3, he went to every third mail box, opening its door if it were closed, and closing it if it were open. Then he repeated this procedure with every fourth mailbox, then every fifth mailbox, and so on. When he finished, he was surprised at the distribution of closed mailboxes. Write a program to determine which mailboxes these were.

Answers

Answer:

//This Program is written in C++

// Comments are used for explanatory purpose

#include <iostream>

using namespace std;

enum mailbox{open, close};

int box[149];

void closeAllBoxes();

void OpenClose();

void printAll();

int main()

{

closeAllBoxes();

OpenClose();

printAll();

return 0;

}

void closeAllBoxes()

{

for (int i = 0; i < 150; i++) //Iterate through from 0 to 149 which literarily means 1 to 150

{

box[i] = close; //Close all boxes

}

}

void OpenClose()

{

for(int i = 2; i < 150; i++) {

for(int j = i; j < 150; j += i) {

if (box[j] == close) //Open box if box is closed

box[j] = open;

else

box[j] = close; // Close box if box is opened

}

}

// At the end of this test, all boxes would be closed

}

void printAll()

{

for (int x = 0; x < 150; x++) //use this to test

{

if (box[x] = 1)

{

cout << "Mailbox #" << x+1 << " is closed" << endl;

// Print all close boxes

}

}

}

Explanation:

2. Volcanic islands that form over mantle plumes, such as the Hawaiian chain, are home to some of Earth’s largest volcanoes. However, several volcanoes on Mars are gigantic compared to any on Earth. What does this difference tell us about the role of plate motion in shaping the Martian surface?

Answers

The theory that explains this phenomenon is linked to the convergence of tectonic plates when there is immersion over the crazy oceanic ones. This movement could be referred to as an oceanic-oceanic convergence where the immersion of two ocean slabs occurs and one descends below another plate and initiates volcanic activity by the same mechanism that operates in all subduction zones.

In this way the movement of the plate on the Martian surface could be relatively much faster than the occurrence of the movement of the plate on Earth. Giant volcanoes form because the area of ​​the most oceanic crust converges faster.

a) the pre-exponential factor and activation energy for the hydrolysis of t-butyl chloride are 2.1xE16 sec-1 and 102 kJ mol-1, respectively. calculate the values of delta S and delta H at 286 K for the reaction.
b)the pre-exponential factor and activation energy for the gas-phase cycloaddition of maleic anyhyrdride and cycopentadiene are 5.9xE7 M-1S-1 and 51 kJ mol-1 respectively. calculate values of delta S and delta H at 293 K for the reaction.

Answers

Answer:

Delta S = 356.64J/mol and Delta H = 99620J/mol

Explanation:

The detailed steps and appropriate use of the arrehenius equation and necessary susbtitution were made as shown in the attached file.

Python Codio Question:

This is a tricky challenge for you.

We will pass in a value N. N can be positive or negative.

If N is positive then output all values from N down to and excluding 0.

If N is negative, then output every value from N up to and excluding 0.


# Get N from the command line
import sys
N = int(sys.argv[1])

# Your code goes here

Answers

Answer:

# -*- coding: utf-8 -*-

# Get N from the command line

import sys

N = int(sys.argv[1])

if N > 0: #N is positive  

   positve = list(range(N,0,-1))

   print(positve)

elif N < 0: #N is negative  

   negative = list(range(N,0,1))

   print(negative)

else:

   print("Invalid in input")

Explanation:

First, you need to identify if the number entered is positive, negative or none of them, for that we use one if, one elif and one else statement:

If the number entered (N) is greater than zero (is positive) we print a list in the range N to 0 in steps of minus one, the zero is not printed because the function range by default omits the last valueIf the previous statement was False and the number entered is smaller than zero (is negative) we print a list in the range N to 0 in steps of one, the zero is not printed because the function range by default omits the last valueFinally, if the two previous events were false print invalid input

Consider the following two well-mixed, isothermal gas-phase batch reactors for the elementary and irreversible decomposition of A to B given by the following chemical equation: A k −−→ 2 B (1) In reactor 1, the reactor volume is held constant (reactor pressure therefore changes). In reactor 2, the reactor pressure is held constant (reactor volume therefore changes). Both reactors are charged with pure A at 2.0 atm, A and B are considered ideal gases, and k = 0.35 min−1 .

(a) What is the fractional decrease in the concentration of A in reactors 1 and 2 after five minutes?
(b) What is the total molar conversion of A in reactors 1 and 2 after five minutes?

Answers

Answer:

attached below

Explanation:

You buy a 75-W lightbulb in Europe, where electricity is delivered to homes at 240V. If you use the lightbulb in the United States at 120 V (assume its resistance does not change), how bright will it be relative to 75-W 129-V bulbs?

Answers

Answer:

The bulb will be [tex]\frac{1}{4}[/tex] times as bright as it is in Europe.

Explanation:

Data provided in the question:

Power of bulb in Europe = 75 W

Voltage provided in Europe = 240 V

Voltage provided in United Stated = 120 V

Now,

We know,

Power = Voltage² ÷ Resistance

Therefore,

75 = 240² ÷ Resistance

or

Resistance = 240² ÷ 75

or

Resistance = 768 Ω

Therefore,

Power in United States = Voltage² ÷ Resistance

= 120² ÷ 768

= 18.75 W

Therefore,

Ratio of powers

[tex]\frac{\text{Power in united states}}{\text{Power in Europe}}=\frac{18.75}{75}[/tex]

= [tex]\frac{1}{4}[/tex]

Hence,

The bulb will be [tex]\frac{1}{4}[/tex] times as bright as it is in Europe.

A 6-pack of canned drinks is to be cooled from 23°C to 3°C. The mass of each canned drink is 0.355 kg. The drinks can be treated as water, and the energy stored in the aluminum can itself is negligible. The amount of heat transfer from the six canned drinks is _____ kJ.

Answers

Answer:

178 kJ

Explanation:

Assuming no heat transfer out of the cooling device, and if we can neglect the energy stored in the aluminum can, the energy transferred by the canned drinks, would be equal to the change in the internal energy of the canned drinks, as follows:

ΔU = -Q = -c*m*ΔT (1)

where c= specific heat of water = 4180 J/kg*ºC

           m= total mass = 6*0.355 Kg = 2.13 kg

           ΔT = difference between final and initial temperatures = 20ºC

Replacing by these values in (1), we can solve for Q as follows:

Q = 4180 J/kg*ºC * 2.13 kg * -20 ºC = -178 kJ

So, the amount of heat transfer from the six canned drinks is 178 kJ.

Answer:

-178.92 kJ

Explanation:

The amount or quantity (Q) of heat transferred during a chemical process such as cooling is the product of the mass (m) of the substance involved, the specific heat capacity (c) of the substance and the change in temperature (ΔT) of the substance. i.e

Q = m x c x Δ T   ----------------------(i)

From the question;

m = total mass of the canned drinks = 6 x 0.355kg = 2.13kg

ΔT = final temperature - initial temperature = 3°C - 23°C = -20°C

Known constant;

c = specific heat capacity of water = 4200J/kg°C

Substitute all these values into equation (i) as follows;

Q = 2.13 x 4200 x (-20)

Q = -178920 J

Divide the result by 1000 to convert it to kJ as follows;

Q = (-178920 / 1000) kJ

Q = -178.92 kJ

Therefore, the quantity of heat transferred from the six canned drinks is -178.92 kJ

Note;

The -ve sign shows that the heat transferred is actually the heat lost in cooling the drinks from 23°C to 3°C

If the wire has a diameter of 0.6 in., determine how much it stretches when a distributed load of w=100lb/ft acts on the beam. The wire remains elastic. Use Est=29.0(103)ksi.

Answers

Final answer:

To determine how much a wire stretches under a load, one must consider Hooke's Law and use Young's modulus, but the original length of the wire and the type of load distribution must be known.

Explanation:

The student's question relates to the concept of elasticity and specifically the calculation of how much a wire stretches under a given load within the elastic limit.

Using the provided diameter of the wire, which is 0.6 inches, and the fact that an elastic modulus (Est) of 29.0(103) ksi has been given, the stretch can be calculated using Hooke's Law, which relates stress and strain through Young's modulus. However, to calculate the stretch, we would require the initial length of the wire and the format of the distributed load (whether it's uniform or varies along the length of the wire) which have not been provided in the student’s query.

Assuming uniform distributed load and an initial length L, the stretch (delta L) can be found using  delta L =  rac{wL^2}{AE}, where w is the load per unit length, L is the initial length, A is the cross-sectional area, and E is Young's modulus. If the total weight of the load is given instead, then the formula  delta L =  rac{FL}{AE} can be used with F representing the total force or weight affecting the wire.

the car travels around the circular track having a radius of r=300 m such that when it is at point A it has a velocity of 5m/s which is increasing at the rate of v =(0.06t) m/s^2, where t is in seconds. Determine the magnitudes of its velocity and accerlation when it has traveled one third of the way around the track

Answers

The magnitude of the velocity and the acceleration is 0.06 m/s^2., the velocity is 11 m/s

How to solve for the velocity and the acceleration

Given the information, we can calculate the velocity and acceleration of the car as it moves one-third of the way around the circular track.

First, we need to find the time t when the car has traveled one-third of the way around the track. The distance traveled by the car in one-third of the way around the track is d = r/3, where r is the radius of the track. The velocity of the car at time t is v = 5 + 0.06t. The distance traveled by the car can be found using the equation d = vt. Setting these two equations equal to each other, we have:

d = r/3 = 5t + 0.03t^2

Solving for t, we find that t = 20 seconds.

Next, we can find the velocity of the car at time t = 20 seconds using the equation v = 5 + 0.06t = 5 + 0.06 * 20 = 11 m/s.

Finally, the acceleration of the car can be found using the equation a = dv/dt = 0.06 m/s^2.

So, when the car has traveled one-third of the way around the track, its velocity is 11 m/s and its acceleration is 0.06 m/s^2.

Read more on velocity and acceleration here:https://brainly.com/question/460763

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The following questions present a twist on the scenario above to test your understanding.

Suppose another stone is thrown horizontally from the same building. If it strikes the ground 67 m away, find the following values.
(a) time of flight
s

(b) initial speed
m/s

(c) speed and angle with respect to the horizontal of the velocity vector at impact
m/s

Answers

Answer:

a) t = √(2*h/g)

b) v₀ = 67*√(g/(2*h))

c) ∅ = tan⁻¹(2*h/67)

Explanation:

Suppose that the height of the building is known (h), then we have

a) y = h = g*t²/2

then the time of flight is

t = √(2*h/g)

b) The initial speed (v₀) can be obtained as follows

x = v₀*t    ⇒    v₀ = x / t

where

x = xmax = 67 m    and  t = √(2*h/g)

So, we have

v₀ = 67 / √(2*h/g) = 67*√(g/(2*h))

c) In order to get the speed and the angle with respect to the horizontal of the velocity vector at impact, we obtain vx and vy as follows

vx = v₀ = 67*√(g/(2*h))

and

vy = gt = g*√(2*h/g)   ⇒   vy = √(2*h*g)

then we apply

v = √(vx² + vy²) = √((67*√(g/(2*h)))² + (√(2*h*g))²)

⇒  v = √(g*(4489 + 4*h²)/(2*h))

The angle is obtained as follows

tan ∅ = vy / vx     ⇒    tan ∅ = √(2*h*g) / 67*√(g/(2*h))

⇒ tan ∅ = 2*h / 67    ⇒   ∅ = tan⁻¹(2*h/67)

A signal is band-limited between 2 kHz and 2.1 kHz. If the signal is sampled at 1750 Hz, the baseband signal will lie between?a. 00 and 650 Hzb. 750 and 2000 Hzc. 100 and 110 Hzd. 250 and 350 Hz

Answers

Answer:

Explanation: 100 and 110 Hz

Here fL=2kHz, fH=2.1kHz, B=0.1kHz, fL=2kHz,  

n≤fH/(fH-fL)

n≤(2.1*1000)/((2.1-2)*1000)

n≤20

2fH/n  ≤ fs

(2*2.1*1000)/20 ≤ fs

210≤ fs

A quarter-circle block with a vertical rectangular end is attached to a balance beam as shown in Fig. 1. Water in the tank puts a hydrostatic pressure force on the block which causes a clockwise moment about the pivot point. This moment is balanced by the counterclockwise moment produced by the weight placed at the end of the balance beam. The purpose of this experiment is to determine the weight, W, needed to balance the beam as a function of the water depth, h.
For a given water depth, h, determine the hydrostatic pressure force, FR = γhcA, on the vertical end of the block. Also determine the point of action of this force, a distance yR – yc below the centroid of the area. Note that the equations for FR and yR – yc are different when the water level is below the end of the block (h < R2 – R1) (partially submerged) than when it is above the end of the block (h > R1 – R2) (fully submerged).
(a) Sketch the problem for a fully immersed block. Find W = f1 (h) symbolically. Then substitute for the constants. Obtain a linear relation for W as a function of h.
(b) Sketch the problem for a partially immersed block. Find W = f2 (h) symbolically. Then substitute for the constants. Obtain a cubic relation for W as a function of h.

Answers

Answer:

See attachment below

Explanation:

// Program decides tuition based on several criteria: // 1 - 12 credit hours @ $150 per credit hour // 13 - 18 credit hours, flat fee $1900 // over 18 hours, $1900 plus $100 per credit hour over 18 // If year in school is 4, there is a 15% discount using System; using static System.Console; class DebugFour3 { static void Main() { int credits; year; string inputString; double tuition; const int LOWCREDITS = 12; const int HIGHCREDITS = 18; const double HOURFEE = 15000; const double DISCOUNT = 0.15; const double FLAT = 1900.00; const double RATE = 100.00; const int SENIORYEAR = 4; WriteLine("How many credits? "); inputString = ReadLine(); credits = Convert.ToInt32(inputString); WriteLine("Year in school? "); inputString = Readline(); year = Convert.ToInt32(inputString); if(credits > LOWCREDITS) tuition = HOURFEE * credits; else if(credits == HIGHCREDITS) tuition = FLAT; else tuition = FLAT + (credits - HIGHCREDITS) * RATE; if(year < SENIORYEAR) tuition = tuition - (tuition * DISCOUNT); WriteLine("For year {0}, with {1} credits", year, credits); WriteLine("Tuition is {0}", tuition.ToString("C")); } }

Answers

Answer:

using System.IO;

using System;

class Program

{

static void Main()

{

int credits, year;

string inputString;

double tuition;

const int LOWCREDITS = 12;

const int HIGHCREDITS = 18;

const double HOURFEE = 15000;

const double DISCOUNT = 0.15;

const double FLAT = 1900.00;

const double RATE = 100.00;

const int SENIORYEAR = 4;

Console.WriteLine("How many credits? ");

inputString = Console.ReadLine();

credits = Convert.ToInt32(inputString);

Console.WriteLine("Year in school? ");

inputString = Console.ReadLine();

year = Convert.ToInt32(inputString);

if(credits > LOWCREDITS)

tuition = HOURFEE * credits;

else if(credits == HIGHCREDITS)

tuition = FLAT;

else

tuition = FLAT + (credits - HIGHCREDITS) * RATE;

if(year < SENIORYEAR)

tuition = tuition - (tuition * DISCOUNT);

Console.WriteLine("For year {0}, with {1} credits",year, credits);

Console.WriteLine("Tuition is {0}", tuition.ToString("C"));

}

You haven't declared the type for the year variable in Main. There's a typo in Readline(); it should be ReadLine().

Here's the corrected version of your code:

using System;

using static System.Console;

class DebugFour3

{

   static void Main()

   {

       int credits, year; // Declare type for year

       string inputString;

       double tuition;

       const int LOWCREDITS = 12;

       const int HIGHCREDITS = 18;

       const double HOURFEE = 150.00; // Corrected constant

       const double DISCOUNT = 0.15;

       const double FLAT = 1900.00;

       const double RATE = 100.00;

       const int SENIORYEAR = 4;

       WriteLine("How many credits? ");

       inputString = ReadLine();

       credits = Convert.ToInt32(inputString);

       WriteLine("Year in school? ");

       inputString = ReadLine();

       year = Convert.ToInt32(inputString);

       if (credits > LOWCREDITS)

           tuition = HOURFEE * credits;

       else if (credits <= HIGHCREDITS) // Corrected condition

           tuition = FLAT;

       else

           tuition = FLAT + (credits - HIGHCREDITS) * RATE;

       if (year < SENIORYEAR)

       {

           // Corrected calculation for discount

           tuition = tuition - (tuition * DISCOUNT);

       }

       WriteLine("For year {0}, with {1} credits", year, credits);

       WriteLine("Tuition is {0}", tuition.ToString("C"));

   }

}

The lattice constant of a body centered cubic unit cell is a=4.85 oA. Determine the volume density of atoms. (Hints: Volume density=number of unit cell atoms/unit cell volume).

Answers

Answer:

the volume density of atoms = 1.75 x 10^22 /cm3

Explanation:

The detailed steps is as shown in the attached file.

Charge of uniform surface density (4.0 nC/m2 ) is distributed on a spherical surface (radius = 2.0 cm). What is the total electric flux through a concentric spherical surface with a radius of 4.0 cm?

Answers

To solve this problem we will use the values of the density on surface, which relates the total load and the area of the surface. From there we will get the total charge, which will allow us to find the electric flow.

Surface density is defined as,

[tex]\mu= \frac{Q_{tot}}{A_{surface}}[/tex]

Where,

[tex]A_{surface} = 4\pi r^2[/tex]

Replacing,

[tex]4*10^{-9} = \frac{Q_{tot}}{(4\pi 0.02^2)}[/tex]

[tex]Q_{tot}= 20.11*10^{-2} C[/tex]

At the same time electric flux can be defined as,

[tex]\Phi = \frac{Qtot}{\epsilon_0}[/tex]

Here,

[tex]\epsilon_0 =[/tex] Permittivity vacuum constant

Replacing,

[tex]\Phi =\frac{(20.11 * 10-12 )}{(8.85 * 10-12)}[/tex]

[tex]\Phi =2.27N \cdot m^2 \cdot C^{-1}[/tex]

Therefore the total electric flux through the concentric spherical surface is [tex]2.27Nm^2/C[/tex]

Through conc. spherical surface, the total electric flux will be:

"2.27 N.m².C⁻¹".

Electric flux

Uniform surface density charge, [tex]A_{surface}[/tex] = 4.0 nC/m²

Radius, r = 2.0 cm, or

               = 0.02

We know the relation,

→ Surface density, μ = [tex]\frac{Q_{tot}}{A_{surface}}[/tex]

Here, [tex]A_{surface}[/tex] = 4πr²

                [tex]Q_{tot}[/tex] = 20.11 × 10⁻² C

Now,

Electric flux, [tex]\Phi[/tex] = [tex]\frac{Q_{tot}}{\epsilon_0}[/tex]

By substituting the values,

                           = [tex]\frac{20.11\times 10^{-12}}{8.85\times 10^{-12}}[/tex]

                           = 2.27 N.m².C⁻¹

Thus the above response is correct.

Find out more information about electric flux here:

https://brainly.com/question/1592046

A submarine dives at a constant speed pf 3 m/s. It is know that the water pressure increase at a rate of one atmospheric pressure (105 Pa) per 10 meter of depth. Find the time rate of pressure change measured by the submarine.

Answers

Answer:

dP/dt =  0.3003003003

Explanation:

speed of submarine = 3m/s

rate of change of pressure with depth = (105 Pa) per 10 meter of depth

to get time taken by the submarine to cover 10m ; t = 10/3 = 3.33s

time rate of change of pressure = dP/dt =  105 Pa/3.33

= 30030.03003or 0.3003003003

Write a static method called quadrant that takes as parameters a pair of real numbers representing an (x, y) point and that returns the quadrant number for that point. Recall that quadrants are numbered as integers from 1 to 4 with the upper-right quadrant numbered 1 and the subsequent quadrants numbered in a counter-clockwise fashion:

Answers

Full Question

Write a static method called quadrant that takes as parameters a pair of real numbers representing an (x, y) point and that returns the quadrant number for that point.

Recall that quadrants are numbered as integers from 1 to 4 with the upper-right quadrant numbered 1 and the subsequent quadrants numbered in a counter-clockwise fashion. Notice that the quadrant is determined by whether the x and y coordinates are positive or negative numbers. If a point falls on the x-axis or the y-axis, then the method should return 0.

Answer

public int quadrant(double x, double y) // Line 1

{

if(x > 0 && y > 0){ //Line 2

return 1;

}

if(x < 0 && y > 0){ // Line 3

return 2;

}

if(x < 0 && y < 0) {// Line 4

return 3;

}

if(x > 0 && y < 0) {// Line 5

return 4;

}

return 0;

}

Explanation:

Line 1 defines the static method.

The method is named quadrant and its of type integer.

Along with the method definition, two variables x and y of type double are also declared

Line 2 checks if x and y are greater than 0.

If yes then the program returns 1

Line 3 checks if x is less than 0 and y is greater than 0

If yes then the program returns 2

Line 4 checks if x and y are less than 0

If yes then the program returns 3

Line 5 checks is x is greater than 0 and y is less than 0

If yes then the program returns 4

Which of the following method header represents Function(true, 0, 2.6)? A. void Function( bool b, double d, int c ) B. void Function( bool b, double d, double e ) C. void Function( bool b, int c, double d ) D. b and c

Answers

Answer:

(d) b and c

Explanation:

Given;

Function (true, 0, 2.6)

From the above, the function Function receives three arguments;

=>First argument (i.e true), is of type boolean

=>Second argument (i.e 0), is of type int, float or double since integers are inherently floating point numbers. Therefore 0 can be int, float or double.

=>Third argument (i.e 2.6), is a floating point number and could be of type float or double.

Therefore the method header for the function Function could be any of the following;

i). void Function (bool b, double d, double e)

ii). void Function (bool b, int c, double d)

iii). void Function (bool b, int d, float e)

iv). void Function (bool b, float d, double e)

v). void Function (bool b, double d, float e)

vi). void Function (bool b, float d, float e)

Note:

i. The ordered list above has ii and v in bold form to show that they are part of the options specified in the question.

ii. The letters b, c, d and e specified in the method declaration variations do not matter. Since they are just dummy variables, they can be any letter.

Therefore b and c are a correct representation for the method header.

For the following functions, determine if the functions are periodic. If so, find the shortest period. A. x(t) = (t2-1)cos(t) B. x(t)-cos(nt) +5 sin(5πt) C. x[n] = sin[n] + cos[n] D. x(t) cos(3t) + sin(Tt) E. x[n] = cos(m) + 1 F. x(t)-(sin nt)(cos πt) | 2

Answers

Answer:

A Not Periodic

B Periodic

C Periodic

D Not Periodic

E Periodic

F Periodic

Explanation:

The detailed steps to ascertain the periodicity or the non periodicity of each functions is as shown in the attached file.

What is the energy change when the temperature of 15.0 grams of solid silver is decreased from 37.3 °C to 20.5 °C ?

Answers

Answer:

Q=58.716 W

Explanation:

Given that

mass ,m  = 15 g

The decrease in the temperature ,ΔT = 37.3 - 20.5  °C

ΔT = 16.8°C

We know that specific heat of silver ,Cp = 0.233 J/g°C

The energy change of the silver  is given as

Q = m Cp ΔT

Now by putting the values we get

[tex]Q= 15 \times 0.233\times 16.8\ W[/tex]

Q=58.716 W

Therefore the change in the energy will be 58.716 W.

g Let the charges start infinitely far away and infinitely far apart. They are placed at (6 cm, 0) and (0, 3 cm), respectively, from their initial infinite positions. A. Determine the electric potential due to the two charges at the origin. B. Determine the electric potential energy associated with the system, relative to their infinite initial positions.

Answers

Answer:

a) V =10¹¹*(1.5q₁ + 3q₂)

b) U = 1.34*10¹¹q₁q₂

Explanation:

Given

x₁ = 6 cm

y₁ = 0 cm

x₂ = 0 cm

y₂ = 3 cm

q₁ = unknown value in Coulomb

q₂ = unknown value in Coulomb

A) V₁ = Kq₁/r₁

where   r₁ = √((6-0)²+(0-0)²)cm = 6 cm = 0.06 m

V₁ = 9*10⁹q₁/(0.06) = 1.5*10¹¹q₁

V₂ = Kq₂/r₂

where   r₂ = √((0-0)²+(3-0)²)cm = 3 cm = 0.03 m

V₂ = 9*10⁹q₂/(0.03) = 3*10¹¹q₂

The electric potential due to the two charges at the origin is

V = ∑Vi = V₁ + V₂ = 1.5*10¹¹q₁ + 3*10¹¹q₂ = 10¹¹*(1.5q₁ + 3q₂)

B) The electric potential energy associated with the system, relative to their infinite initial positions, can be obtained as follows

U = Kq₁q₂/r₁₂

where

r₁₂ = √((0-6)²+(3-0)²)cm = √45 cm = 3√5 cm = (3√5/100) m

then

U = 9*10⁹q₁q₂/(3√5/100)

⇒ U = 1.34*10¹¹q₁q₂

A water tank filled with water to a depth of 16 ft has in inspection cover (1 in. 3 1 in.) at its base, held in place by a plastic bracket. The bracket can hold a load of 9 lbf. Is the bracket strong enough? If it is, what would the water depth have to be to cause the bracket to break?

Answers

Answer:

[tex]F=6.88 [lbf][/tex]

The bracket is strong enough.

[tex]h=20.91 [ft][/tex]

Explanation:

Let's recall that the variation of the pressure respect to displacement in a liquid incomprehensible and static will be:

[tex]\frac{dP}{dy}=-\rho g[/tex]

If we take ρ (density) as a constant and solving this differential equation, we will have:

[tex]\Delta P=\rho gh[/tex]                            

P is the total pressureh is the height

Now, the pressure at the base will be:

[tex]P_{base}=\rho gh[/tex]

We use this equation knowing that we have atmospheric pressure on the outside of the tank.

The force on the inspection cover will be (A=1 in²):

[tex]F=P_{base}A=\rho ghA= 62.4 [lb/ft^{3}]*32.2 [ft/s^{2}]*16 [ft]*0.00689 [ft^{2}]=221.47 [\frac{lb*ft}{s^{2}}][/tex]

We know that 1 lbf = 32.17 (lb*ft)/s², so:

[tex]F=6.88 [lbf][/tex]

The statement says that the bracket can hold a load of 9 lbf, therefore the bracket is strong enough.

We can use the equation of the force to find the depth.

[tex]F=\rho ghA[/tex]

If we solve it for h we will have:

[tex]h=\frac{F}{\rho gA}[/tex]

F is the force that bracket can hold (9 lbf or 289.53 (lb*ft)/s²)A is the area (A=0.00689 ft²)

[tex]h=\frac{289.53}{62.4*32.2*0.00689}=20.91 [ft][/tex]

I hope it helps you!

Suppose that the cost of electrical energy is $0.15 per kilowatt hour and that your electrical bill for 30 days is $80. Assume that the power delivered is constant over the entire 30 days. What is the power in watts? If a voltage of 120 V supplies this power, what current flows? Part of your electrical load is a 60-W light that is on continuously. By what percentage can your energy consumption be reduced by turning this light off?

Answers

Answer:

a) 740 W b) 6.2 A c) 8.1%

Explanation:

We need first to get the total energy spent during the 30 days, that can be calculated as follows:

1 month = 30 days = 720 hr

If the total cost amounts $80 (for 720 hr), and the cost per kwh is 0.15, we have:

80 $/mo  =  0.15 $/Kwh*x Kwh/mo

Solving for the total energy spent in the month:

[tex]x (kwh/mo) = \frac{80}{0.15} = 533.3 kwh[/tex]

Assuming that the power delivered is constant over the entire 30 days, as power is the rate of change of energy, we can find the power as follows:

[tex]P = \frac{E}{t} = \frac{533.3 kWh}{720 h} = 0.74 kW = 740 W[/tex]

b) If the power is supplied by a voltage of 120 V, we can find the current I as follows:

[tex]I =\frac{P}{V} =\frac{740W}{120V} = 6.2A[/tex]

c) If part of the electrical load is a 60-W light, we can substract this power from the one we have just found, as follows:

P = 740 W - 60 W = 680 W

The new value of the energy spent during the entire month will be as follows:

E = 0.68 kW*24(hr/day)*30(days/mo) = 490 kWh/mo

The reduction in percentage regarding the total energy spent can be calculated as follows:

ΔE = [tex]\frac{533.3-490}{533.3} = 0.081*100= 8.1%[/tex]

ΔE(%) = 8.1%

[tex]%(E) =\frac{533.3-490}{533.3} = 0.081 * 100 = 8.1%[/tex]

How many electrons move past a fixed reference point every t = 2.55 ps if the current is i = 7.3 μA ? Express your answer as an integer.

Answers

Final answer:

The number of electrons that move past a fixed reference point in 2.55 ps when the current is 7.3  extmu A is approximately 116, after calculating the total charge and then dividing it by the charge of an electron.

Explanation:

The number of electrons moving past a fixed reference point in a given time interval when the electric current is known can be calculated by first determining the total charge that passes through the reference point and then dividing that by the charge per electron. The total charge ( extit{Q}) that moves through a fixed point is the product of the current ( extit{I}) and the time interval ( extit{t}), which is expressed by the formula  extit{Q} =  extit{I}  imes  extit{t}. Given that the charge of an electron is approximately -1.60  imes 10^{-19} C (coulombs), one can calculate the number of electrons by dividing the total charge by the electronic charge.



In this case, the current is 7.3  extmu A (microamperes), which is equal to 7.3  imes 10^{-6} A (amperes), and the time interval is 2.55 ps (picoseconds), or 2.55  imes 10^{-12} s (seconds). Using the formula  extit{Q} =  extit{I}  imes  extit{t}, the total charge moved past the reference point is calculated as follows:



Q = 7.3  imes 10^{-6} A  imes 2.55  imes 10^{-12} s = 1.8615  imes 10^{-17} C



Next, to find the number of electrons that move past the reference point, we divide the total charge by the charge of an electron:



Number of electrons =  rac{Q}{e} =  rac{1.8615  imes 10^{-17} C}{1.60  imes 10^{-19} C/e^-}



This yields approximately 116.34 electrons. Since the question asks for an integer value, we round this to 116 electrons as the number of electrons that move past a fixed reference point every 2.55 ps if the current is 7.3  extmu A.

To find the number of electrons moving past a fixed reference point with a given current, you can use the formula: Current (i) = Charge (q) / Time (t). By substituting the known values and calculating, you can determine the number of electrons passing the point at a specific time.

To find the number of electrons moving past a fixed reference point with given current:

Given: Current (i) = 7.3 μA = 7.3 x 10^-6 A

Formula: Current (i) = Charge (q) / Time (t)

Calculation: Number of electrons = (Current x Time) / Charge of an electron

Substitute values and calculate.

A team member who has been a good worker for many years has recently been doing poor work. You suspect that he may be tired of his job. Further, you know he is particularly sensitive to negative feedback. What is your best course of action?

Answers

Answer:

You must follow the steps below to deal with employees who have poor performance. I hope that you will be able to handle all the issues after reading this answer.

Explanation:

Be specific with facts in hand

It is important to confront your employees about their respective actions. But to convince them about their withdrawal from lack of interest, it is imperative to have a consistent record at hand as well. For example, if the employee has been constantly delayed for a period of time, specify the precise details about the frequency and intensity of absenteeism. Be sure not to overdo your statements or use hard phrases to reduce employee self-esteem. Just be direct and precise. Reiterate the guidelines accordingly.

Consider the needs of your employees

Poor performance is not always the result of an employee's carelessness. There can be multiple genuine reasons for lack of performance and it can vary from person to person. The first is to understand the reason and judge whether they are genuine or not. Even if they aren't, don't let the other person know. Focus on your concerns and provide solutions accordingly. For example, if your employees cannot focus on their work due to some personal stress, make appointments for the counseling sessions and make sure they can get back on track.

Focus on feedback

Everyone handles comments differently. Although it is always recommended to be direct and clear in your communication, there may be certain strategies you can adopt to communicate your comments effectively. If your employee has difficulties in achieving his goals, work with him and provide him with all the necessary help to improve his performance. The best way is to provide weekly or monthly comments to your employees, so they know what they must do to achieve their goals.

Provide Performance Support Technology

When faced with existing employees who do not meet expectations, it is a smart decision to offer them training (and / or training) and different resources to help them improve. As an example, you can combine a low-performance worker with someone to act as a mentor or offer you a manual with the procedures to follow. In addition, there are performance improvement tools: WalkMe is a very valuable technology that can help a worker be more efficient and precise, within the workflow (and not take them away from their daily tasks).

Offer rewards and recognition

Whenever you see that your employees have poor performance, it is always better to adopt a carrot and stick approach for instant and consistent improvement. It is a combination of rewards and punishments that you can induce for the best and worst weekly or monthly performance. This has proven to be one of the best ways to combat low performance problems in companies of all kinds for centuries.

Facing low-performance workers for the first time may not be too encouraging for managers as well, but having an adequate system to deal with them is essential, especially during the performance of change management. It is always better to deal with such situations, instead of ignoring them, to maintain the consistency of productivity and profitability in the business.

A ½ in diameter rod of 5 in length is being considered as part of a mechanical
linkage in which it can experience a tensile loading and unloading during application. The
material being considered is a standard aluminum bronze with a Young’s modulus of 15.5 Msi.
What is the maximum load the rod can take before it starts to permanently elongate?
Considering the rod is designed so that it does not yield, what is the maximum energy that the
rod would store? [Hint: You can look up some properties of aluminum bronze in your machine
design book].

Answers

Answer:

The maximum load the rod can take before it starts to permanently elongate =  = 6086.84 lbf or 27075.59 N

The maximum energy that the  rod would store =2.536 ft·lbf or 3.439 J

Explanation:

We list out the variables to the question as follows

Rod diameter = 0.5 in

Length of rod = 5 in

Young's modulus of elasticity for the material = 15.5 Msi

The maximum load rthe rd can take before it starts to permanently elongate is the yield stress and it can vbe calclulated by applyng the 0.2% offset rule by taking the yeild strain to be equal to 2%

Thus Young's Modulus at yield point =[tex]\frac{Stress}{Strain}[/tex] so that the yield stess is

Yield stress = strain × Young's Modulus

= 2/100 × E = 0.002 × 15.5 Msi = 0.031 Msi = 31 ksi

The maximum load that the rod would take before it starts to permanently elongate = F = Stress×Area

where area = π·D²/4 = 0.196 in²

F = 31 kSi × 0.196 in² = 6086.84 lbf or 27075.59 N

To calculate the strain energy stored in the rod we apply the strain energy formula thus

U = V×σ²/2·E

To calculate the volume we have V = L ×π·D²/4 =5 in × 0.196 in² = 0.98 in³

then U = 0.98 × (31000)²/(2·15.5×10⁶)

= 30.43 in³·psi = 2.536 ft·lbf

or 3.439 J

The maximum energy that the rod would store = 2.536 ft·lbf

Define the following concepts in your own words: (a) stiffness, (b) strength, (c) ductility, (d) yielding, (e) toughness, and (f) strain hardening.

Answers

Answer:

Please find detail answer given below

Explanation:

(a) Stiffness

It is defined as the property of a material that is rigid and difficult to bend. The example of stiffness is the rubber band. If an elastic band is stretched with two fingers, the stiffness is less and the flexibility is greater. Similarly, if we use the rubber band assembly and stretch it with two fingers, the stiffness will be more rigid and the flexibility will be less.

(b) Strength

Force measures how much stress can be applied to an element before it is permanently deformed or fractured.

(c) ductility

Ductility is a measure of a metal's ability to resist tensile stress: any force that separates the two ends of an object. The tug of war game provides a good example of the tension of tension that is applied to a rope. Ductility is the plastic deformation that occurs in the metal as a result of such types of deformation. The term "ductile" literally means that a metallic substance is capable of stretching on a thin wire without weakening or becoming more fragile in the process.

(d) Yielding

The performance of a material is explained as the tension at which a material begins to deform irreversibly. Before the elastic limit, the material will deform elastically, which means that it will return to its original shape when the applied tension is eliminated (that is, without permanent and visible change in the shape of the material).

(e) toughness

The ability of a metal to deform plastically and to absorb energy in the process before the fracture is called resistance. The emphasis of this definition should be placed on the ability to absorb energy before the fracture.

(f) strain hardening

The process of strain hardening is at what time when metal is strained beyond the yield point. An intensifying pressure is required to produce extra plastic deformation and the metal apparently becomes stronger and more difficult to deform.

Consider the generic state space model *(t)= Ax(t) + Bu(t) y(t) = Cx(t)+Du(t). Use the definition of Al to show that x(t)=1*[4=) Bu(t)dt is the state response under input u(t).

Answers

Answer:

Explanation:

[tex]\dot x (t) - ax(t)=bu(t)\\\\e^{-at}\dot x = e^{-at}ax = \frac{d}{dt} (e^{-at})=e^{-at}bu\\\\\int\limits^t_0 \frac{d}{d\tau}(e^{-a\tau}x(\tau))d\tau=e^{-at}x(t)-x(0)=\int\limits^t_0 e^{-a\tau}bu(\tau))d\tau\\\\x(t)=e^{at}x(0)+ \int\limits^t_0 e^{-a(t-\tau)}bu(\tau))d\tau[/tex]

Similarly,

[tex]e^{-At}\dot x(t) -e^{-At}Ax(t) = \frac{d}{dt} (e^{-At}x(t))=e^{-At}Bu(t)\\\\\int\limits^t_0 \frac{d}{d\tau}(e^{-A\tau}x(\tau))d\tau=e^{-At}x(t)-e^{-A.0}x(0)=\int\limits^t_0 e^{-A\tau}Bu(\tau))d\tau\\\\since\:\:\:e^{-A.0}=I \:\:\: and\:\:\:[e^{-At}]^{-1}=e^{At}\\\\x(t)=e^{At}x(0)+ e^{At}\int\limits^t_0 e^{-A\tau}Bu(\tau))d\tau\\\\x(t)=e^{At}x(0)+ \int\limits^t_0 e^{A(t-\tau)}Bu(\tau))d\tau[/tex]

For initial condition x(0) = 0

[tex]x(t)= \int\limits^t_0 e^{A(t-\tau)}Bu(\tau))d\tau[/tex]

Other Questions
Earthquakes, volcanoes, and landslides can displace large volumes of water in the ocean and trigger which of the following natural disasters? a. Mass wasting b. Tsunamis c. Lahars d. Tornadoes A ground-state H atom absorbs a photon of wavelength 94.91 nm, and its electron attains a higher energy level. The atom then emits two photons: one of wavelength 1281 nm to reach an intermediate level, and a second to reach the ground state.(a) What higher level did the electron reach?(b) What intermediate level did the electron reach?(c) What was the wavelength of the second photon emitted? Suppose two economists are debating tax reform bill. Both economists agree that the bill would increase the after-tax income of the top 5% of income earners. However, they disagree on whether the bill would improve the tax system. Which of the following is the most plausible reason for why these economists disagree?a) A lack of evidence about the long-run impact of the proposed bill.b) Differences in methodology.c) Different choices about the right simplifications to use in economic analysis.d) Differences in values. A parallel-plate capacitor is connected to a battery. After it becomes charged, the capacitor is disconnected from the battery and the plate separation is increased. What happens to the potential difference between the plates? A) More information is needed to answer this question B) The potential difference between the plates stays the same. C) The potential difference between the plates decreases. D) The potential difference between the plates increases. The diagram below shows features of the U.S. court system.A flowchart with three boxes and arrows connecting them. Box one says U.S. District Court. Box two says U.S. Court of Appeals . Box three is blank with a question mark.Which court completes the diagram? U.S. Supreme Court State Supreme Court U.S. Trial Court State Trial Court Pasteur's work with the French wine industry proved all of the following, EXCEPT: A. That microbes are responsible for the chemical processes that produce wine. B. Microbial growth and metabolism can occur in the absence of air. C. The formation of acetic acid during wine production was due to the presence of contaminating microbes. D. That microbes can cause disease. E. two of the above why did the english colonies disagree with the english rule Derk owns 250 shares of stock in Rose Corporation. The remaining 750 shares of Rose are owned as follows: 150 by Derks daughter, 200 by Derks aunt, and 400 by a partnership in which Derk has an 80% interest. Determine the number of shares Derk owns (directly and indirectly) in Rose Corporation. MAPS On a map, Wilmington Street, Beech Drive, and Ash Grove Lane appear to all be parallel. The onilmington to Ash Grove along Kendall is 820 feet and along Magnolia, 660 feet. If the distance between Beech andove along Magnolia is 280 feet, what is the distance between the two streets along Kendall? What did Hugo mean by the dull sound of revolution? A flask containing 5.98mL of a liquid weighs 163.4 g with the liquid in the flask and 154.9 when empty. Calculate the density of the liquid in g/mL to the correct number of significant digits In this recitation assignment, will write a complete C program that accepts as input any two integers from the user and swaps both integers using bitwise operators only without a third variable. E A uniform horizontal electric field of 1.8 105 N/C causes a ball that is suspended from a light string to hang at an angle of 23 from the vertical. If the mass of the ball is 5.0 grams, what is the magnitude of its charge? 1. According to Newton's first law, what happens to an object at rest if the netforce acting on the object is ON?A. It remains at rest,B. It begins moving at a constant speed,C. It begins accelerating at a constant rate, A woman entered into a contract with a famous painter for a portrait of her cat. Tragically, the painter, the cat, and the half-completed portrait perished together in a fire.If the woman sues the painter's estate for breach of contract, a court will likely find that the fire caused the painter's contractual duties to be discharged by:___________ Que dis de la semana es? 20-10[tex]20 - 10[/tex] Gold has a density of 0.01932 kg/cm3. What is the mass (in kg) of a 92.5 cm3 sample of gold?A) 1.79B) 0.560C) 92.5D) 0.000209E) 4790 Children who are rebellious and aggressive are often the products of which of the following styles of discipline? a. power assertion b. withdrawal of love c. management techniques d. passive/aggressive Which of the following statements is accurate in determining subject risk involved in a genetic study:_______.A) Understanding the risks involved in other genetic studies is critical in determining the risk involved in a new study.B) Understanding the purpose and context of a specific study is critical in determining the risk involved. C) All genetic studies should be considered no more than minimal risk. D) All genetic studies should be considered greater than minimal risk.