Two 1.0 metric ton cars crash into each other. Both collide head-on, and each was travelling 27 mi/hr when the collision occurred. The wreckage is at rest after the collision. How much thermal energy was gained by the cars and road in the collision? (in case you are worried, these were driverless vehicles with no passengers inside!

Recall that a 100 W lightbulb uses up 100 Joules of energy in 1 second. If there was a way that the thermal energy from the accident described above could be completely captured and used to power such a bulb, how long would it stay lit?

#include <stdio.h>
int main(void) {
float funds = 1.0, cost = 0.1;
int candies = 0;
while(cost <= funds) {
candies += 1;
funds -= cost;
cost += 0.1;
}
printf("%d candies with $%.2f left over.\n",candies,funds);
return 0;
}

When you compile and run this code you get 3 candies with $0.40 left over.

Without knowing how floating point numbers work in a computer, would this result be expected? Explain why or why not. Explain why this result, in fact, occurred.

1. Two 2.0 cm by 2.0 cm metal electrodes are spaced 1.0 mm apart and connected by wires of the terminals of a 9.0 V battery.
a. What are the charge on each electrode and the potential difference between them?
b. If the wires are disconnected, and insulating handles are used to pull the plates apart to a new spacing of 2.0 mm, what are the charge on each electrode and the potential difference between them?

c. If instead, the plates from part a. remained connected to the battery while the insulating handles pull them apart to their new spacing of 2.0 mm, what are the charge on each electrode and the potential difference between them?

Movers push an 80 kg trunk at 1.0 m/s when they encounter a 2.5 m long stretch of floor where the coefficient of kinetic friction is 0.30. During this stretch of floor, the movers push the trunk with a steady force of 220 N.

a. Determine the net force along the direction of motion

b. Determine the net work done on the trunk

c. Using the work-energy theorem, determine the speed of the trunk at the end of the 2.5 m stretch.

Please show your work clearly and write step by step solution including numeric substitutions and etc. To make it easier, please do this in paper and include the pictures. thanks

Which of the following correlation values represents the strongest linear relationship between two quantitative variables?

A)-1.0

B) 0

C) .90

D) -.68 A set of test scores are normally distributed. Their mean is 100 and the standard deviation is 120. These scores are converted to standard normal z-scores. What would be the mean and median of this standardized normal distribution? A) 1 B) 0 C) 100 D) 50 Suppose the correlation between two variables, math attitude (x) and math achievement (y) was found to be .78. Based on this statistic, we know that the proportion of the variability seen in math achievement that can be predicted by math attitude is: a .22 b 1.56 c .78 d .61 Which of the following numbers will be higher, the correlation between X & Y (assuming that the correlation between X & Y is a positive value) or the proportion of the variability in Y that is explained by X? a There is no way to tell; these two items are not related. b The correlation will be higher. c They will be the same. d The proportion of the variance explained will be higher.

Calculate the stock price given the following :

Trading EBITDA Multiple= 10x

Book equity= $1.0 Billion

Shares Outstanding= 110 million

Short Term Bank debt= $100 Million

Long Term Bank debt= $1.15 billion

Corporate Bons- $250 Million

Total liabilities= $1.9 Billion

Total Assets= $2.9 Billion

Cash=$ 100 Million

EBIT= $300 Million

Depreciation & Amortization = $50 Million

Whats the stock price?

Calculate the EV with stock price at $25.

Section 1.0: MATLAB Fundamentals Step 1.1 Open the MATLAB application Step 1.2 In the Command Window, type the following: x=8 % percentage sign denotes comment y=9 % variable y set to 9 x+y % add variable x + y clear %clears the workspace window clc % clears the command window Note: the % sign indicates a user comment. In the Command Window, you should see your answer : ans=17 In the Workspace window, observe "ans", "x" and "y" Step 1.3 In the Command Window, type pi %this returns the value of Pi = 3.1416 2*pi % multiples pi by 2 Step 1.4. Carry Signal Representation: To represent a carrier, we can use either a sine or cosine: s(t)=A*sin(2πft ± φ), or s(t)=A*cos(2πft ± φ). Except for the phase angle difference of 90 degrees or π/2 radians, there are no other differences between the two equations. We will explore the phase angle difference. First we need to define the variables of the signal as a function of time (t): Define the variables clear clc A=5 % this is the signals peak amplitude f=100 % frequency in Hertz phase=0 %phase angle in radians t=2.5e-03 %time in seconds which is the variable s=A*sin((2*pi*f*t)+phase) %carrier signal equation Note: if you make an error in typing the equation, you can use the arrow up key which will bring up your last entry. You can then make a correction to the equation vice re-typing the entire equation. You should get the answer: s=5? Check this on your calculator. Does the answer on your calculator match MATLAB's? Note: If your result is s=1.37e-01, then your calculator is set for degrees and not radians. Remember, our signal equation is in radians, which means that our phase angle will also be in radians and not in degrees. 3 Step 1.5 Now you will define a time axis from which you will be able to plot a simple sine wave. In order to define the x axis, we must provide a starting point, the increments in-between the start and end points, and end time for the plot (t=0:0.0001:0.01)- i.e., plot starts at t=0 seconds, with a point plotted every 0.0001 seconds, and ends at t=0.01 sec. Enter the following: clc clear A=5 f=100 sphase=0 t=0:0.0001:0.01 %the colon separates beginning, increment and end points s=A*sin((2*pi*f*t)+sphase) subplot(1,2,1) %subplot allows you to place two graphs for comparison in a 1x2 matrix plot(t, s) %graphically plots the sine wave 's' You should see the following sine wave plot: Step 1.6 Now we compare the sine wave next to a cosine wave. Enter the following into the Command Window (note: the “clear” command resets all of the variables): clc clear A1=5 A2=5 f1=100 f2=100 sphase=0 bphase=0 t=0:0.0001:0.01 s=A1*sin((2*pi*f1*t)+sphase) subplot(1,2,1) plot(t, s) %Add the following code to plot the cosine function: b=A2*cos((2*pi*f2*t)+bphase) %carrier signal equation but using cosine instead subplot(1,2,2)%subplot allows you to place two graphs for comparison in a 1x2 matrix plot(t, b) %graphically plots the cosine wave 'b' 4 You should see the following sine wave plot: We see that the cosine wave on the right has shifted 90 degrees to the left. Another way to interpret this is by saying that the cosine wave , since it has a peak amplitude earlier than the sine wave,"leads" the sine wave by 90 degrees or +1.57 radians. Step 1.7 Now let's shift the cosine wave form, b(t), by -90 degrees, or -π/2 radians (entered as “-pi/2” in MatLab code): clc clear A1=5 A2=5 f1=100 f2=100 sphase=0 bphase=-pi/2 t=0:0.0001:0.01 s=A1*sin((2*pi*f1*t)+sphase) subplot(1,2,1) plot(t, s) b=A2*cos((2*pi*f2*t)+bphase) subplot(1,2,2) plot(t, b) Note: If using the MATLAB's command window vice script, you must execute the above command lines in the command window. If you are using the MATLAB scripting function, change the values within the code variables and re-run the script. You should see that both s(t) and b(t) appear the same - i.e., both look like sine waves. Since the cosine wave had to shift -90 degrees in phase in order to look like the sine wave, we can say that the cosine wave "leads" the sine wave by 90 degrees. We can also say that the sine wave "lags" the cosine wave by 90 degrees. 5 Step 1.8 Now let’s return the cosine phase angle back to 0 radians, and plot both the sine and cosine waves onto a single graph for comparison. The red plot is the cosine wave while the blue plot is the sine wave. The cosine plot leads the sine plot by 90 degrees or π/2 radians. (Note: Make sure to close the plot window before running the script!) clc clear A1=3 A2=5 f1=150 f2=150 sphase=0 bphase=0 t=0:0.0001:0.01 s=A1*sin((2*pi*f1*t)+sphase) b=A2*cos((2*pi*f2*t)+bphase) yyaxis left %this command places the y scale on the left side plot(t,s) ylim([-8 8]) ylabel('s=A1*sin((2*pi*f1*t)+sphase)') yyaxis right %this command places the y scale on the right side plot(t, b) ylim([-8 8]) ylabel('b=A2*cos((2*pi*f2*t)+bphase)') xlabel('Time (seconds)') title('Sine and Cosine Waveforms') 6 Step 1.9 Using the MatLab code in step 1.8, modify the sine sphase, by +90 degrees or +pi/2 radians, and keep the cosine wave, bphase, at 0 degrees phase angle. Also raise the amplitude of the sine wave to A1=5. Question 1.9 Select the best answer regarding your observation from step 1.9. a. both s(t) and b(t) appear as identical sine waves b. both s(t) and b(t) appear as identical cosine waves c. both s(t) and b(t) appear as cosine waves; however, their amplitudes differ d. s(t) appears as a cosine wave while b(t) appears as a sine wave Plot 1.9 - Sine Cosine Wave Plot Submission: Submit (i.e., copy/paste) the MATLAB plots from step 1.9 above into the “IT300 Virtual Lab Plot Submission” document template. Note: After executing the plot command, go to the plot and perform a "copy figure" under the "Edit" menu. Paste this figure into the assignment "IT300 Virtual Lab Plot Submission v13" on Bb Assignments/Virtual LAB folder. Step 1.10 Now plot the following carrier waves s(t) and b(t). Place both plots onto a single graph as you did in steps 1.8 and 1.9. (hint: note the form for sinusoidal wave, s(t)=Asin(2πft ± φ) and b(t)=Acos(2πft ± φ)) s(t) = 4sin(2π250t) b(t) = 5cos(π500t -π/2) Question 1.10 What are the differences between the two plots a(t) and b(t) from step 1.10? a. s(t) and b(t) have different frequencies b. s(t) and b(t) differ in phase angle, and both appear as cosine waves c. s(t) and b(t) differ in amplitude, and both appear as sine waves d. s(t) and b(t) are identical in amplitude, frequency, and phase angle 7 Plot 1.10 - Sine Cosine Wave Plot Submission: Submit (i.e., copy/paste) the MATLAB plots from step 1.10 above into the “IT300 Virtual Lab Plot Submission” . Step 1.11 Set the phase angles for s(t) to pi/2 radians, and b(t) phase to 0. Set the frequency for s(t) equal to 600 Hz and b(t) equal to 300 Hz (note: keep all other variables the same). Question 1.11 Select the correct observation for s(t) and b(t) a. plots are same in amplitude b. plots are same in frequency c. both plots appear as cosine waves with different frequencies d. all are correct Plot 1.11 - Sine Cosine Wave Plot Submission: Submit (i.e., copy/paste) the MATLAB plots from step 1.11 above into the “IT300 Virtual Lab Plot Submission” .

One liter of an ideal monatomic gas (gamma=5/3) at atmospheric pressure (1.0 atm) and a temperature of 300K is used in the following cycle: an adiabatic compression to one half its original volume, followed by a constant-volume cooling to 300K, followed by an isothermal expansion back to original volume. Determine the work done by the gas, the heat entering the gas and the change in thermal energy of the gas in each leg of the cycle. Organize answer in table. is this cycle allowed by the second law of thermodynamics? what kind of heat machine does this cycle represent? heat engine? refrigerator? explain

Better Mousetraps has developed a new trap. It can go into production for an initial investment in equipment of $5.4 million. The equipment will be depreciated straight-line over 6 years, but, in fact, it can be sold after 6 years for $668,000. The firm believes that working capital at each date must be maintained at a level of 15% of next year’s forecast sales. The firm estimates production costs equal to $1.60 per trap and believes that the traps can be sold for $6 each. Sales forecasts are given in the following table. The project will come to an end in 6 years, when the trap becomes technologically obsolete. The firm’s tax bracket is 40%, and the required rate of return on the project is 9%.

Year:	0	1	2	3	4	5	6	Thereafter
Sales (millions of traps)	0	0.6	0.8	1.0	1.0	0.9	0.6	0

Suppose the firm can cut its requirements for working capital in half by using better inventory control systems. By how much will this increase project NPV?

Write the balanced complete ionic and net ionic equations for Reaction A, B and C.

For reaction A calculate the heat of neutralization, in kJ / mol, for reaction B and C calculate the heat of reaction, in kJ / mol..

1. Reaction A : Aqueous sodium hydroxide, a strong electrolyte, reacts with aqueous hydrochloric acid, a strong electrolyte.

Contains: 25.0 mL 1.0 M HCl and  25.0 mL 1.0 M NaOH

Ti:25.0 C Tf: 31.67 C

2. Reaction B: Solid sodium hydroxide, a strong electrolyte, dissolves in aqueous hydrochloric acid.

Contains: 50.0 mL 0.50 M HCl and 1 gram sodium hydroxide solid

Ti: 25.0 C Tf: 36.97 C

3. Reaction C: Solid sodium hydroxide, a strong electrolyte, dissolves in water to form an aqueous solution.

Contains: 50.0 mL Distilled H₂O and  1 gram sodium hydroxide solid

Ti: 25.0 C Tf: 30.30 C