A 1.0 kg ball and a 2.0 kg ball are connected by a 1.1-m-long rigid, massless rod. The rod is rotating cw about its geometric center at 17 rpm. What force should be applied to bring this structure to a stop in 4.4 seconds, if the force can only be applied at a location 0.25 m from the geometric center?

Q1. Interpolationv (MATLAB PROGRAM ) :

Suppose that x = 0:10;?

y = [1.5, 1.0, 0.9, 2.6, 2.2, 0.03];?

a)Use both linear interpolation and cubic spline interpolation function to determine the value of y when x= 3.5

b) Plot both functions y and the interpolated version of y.

PLEASE SOLVE THE QUESTION USING MATLAB PROGRAM .

A report recently stated that human activities are estimated to have caused approximately 1.0°C of global warming above pre-industrial levels on average, with a 66% confidence interval of 0.8°C to 1.2°C. Assume that the report relied on a sample of 100 global temperatures from 1998 to 2017 to calculate the sample average of 1.0°C (x ̅), and that the standard deviation of the population of global temperatures from 1998 to 2017 is known (σ).

a. What is the approximate distribution of X ̅? What is the standard normal critical value used to create a 66% confidence interval centered at zero?

b. That is, solve for z, where Pr⁡(-z≤Z≤z)=66%. (Note: solve for z to the nearest hundredth; do not interpolate in an effort to get a more precise answer.)

c. Using the answers to a. and b., solve for σ. Having solved for σ, what is the 95% confidence interval for the population mean of global temperatures from 1998 to 2017?

Three 1.0-L flasks, maintained at 308 K, are connected to each other with stopcocks. Initially the stopcocks are closed. One of the flasks contains 1.9 atm of N2, the second 2.8 g of H2O, and the third, 0.70 g of ethanol, C2H6O. The vapor pressure of H2O at 308 K is 42 mmHgand that of ethanol is 102 mmHg. The stopcocks are then opened and the contents mix freely. What is the Pressure? Express your answer to two significant figures.

13)

A 1.0-L buffer solution is 0.105 M in HNO2 and 0.175 M in NaNO2.

Part A

Determine the concentrations of HNO2 and NaNO2 after addition of 1.2 g HCl.

Express your answers using three significant figures separated by a comma.

Part B

Determine the concentrations of HNO2 and NaNO2 after addition of 1.2 g NaOH.

Express your answers using three significant figures separated by a comma.

Part C

Determine the concentrations of HNO2 and NaNO2 after addition of 1.2 g HI.

Express your answers using three significant figures separated by a comma.

Which solution would show the least change in pH upon addition of 3.0 mL of 1.0 M KOH? Assume equal volumes of each solution are used. K_a for CHO₂H = 1.80 ✕ 10⁻⁴)

a. A solution that is 0.50 M formic acid and 0.50 M sodium formate.

b. A solution that is 0.10 M formic acid and 0.10 M sodium formate.   

c. A solution that is 0.1 M formic acid

d. A solution that is 0.50 M sodium formate

EVALUATING RISK AND RETURN

Stock X has a 10.5% expected return, a beta coefficient of 1.0, and a 35% standard deviation of expected returns. Stock Y has a 12.5% expected return, a beta coefficient of 1.2, and a 25.0% standard deviation. The risk-free rate is 6%, and the market risk premium is 5%.

A. Calculate each stock's coefficient of variation. Round your answers to two decimal places. Do not round intermediate calculations.

CVx =

CVy =

Which stock is riskier for a diversified investor?

A. For diversified investors the relevant risk is measured by beta. Therefore, the stock with the higher beta is less risky. Stock Y has the higher beta so it is less risky than Stock X.

B. For diversified investors the relevant risk is measured by beta. Therefore, the stock with the higher beta is more risky. Stock Y has the higher beta so it is more risky than Stock X.

C.For diversified investors the relevant risk is measured by standard deviation of expected returns. Therefore, the stock with the higher standard deviation of expected returns is more risky. Stock X has the higher standard deviation so it is more risky than Stock Y.

D. For diversified investors the relevant risk is measured by beta. Therefore, the stock with the lower beta is more risky. Stock X has the lower beta so it is more risky than Stock Y.

E. For diversified investors the relevant risk is measured by standard deviation of expected returns. Therefore, the stock with the lower standard deviation of expected returns is more risky. Stock Y has the lower standard deviation so it is more risky than Stock X.

Calculate each stock's required rate of return. Round your answers to two decimal places.

rx = %___

ry = %____

On the basis of the two stocks' expected and required returns, which stock would be more attractive to a diversified investor?

A. Stock X

B. Stock Y

Calculate the required return of a portfolio that has $10,000 invested in Stock X and $8,500 invested in Stock Y. Do not round intermediate calculations. Round your answer to two decimal places.

rp =____ %

If the market risk premium increased to 6%, which of the two stocks would have the larger increase in its required return?

A. Stock X

B. Stock Y

A thin lens has a focal length f = 1.0 x 10^2 cm. In order to ensure that the image is the same size as the object, where should the object be placed? That is, what is the object distance s?

Question 1 options:

An electron is moving in the positive x direction at a rate 3.0 x 10^5 m/s. A magnetic field persists in the space pointing in the positive z direction with a magnitude 0.80 T. What is the magnetic force on the electron (recall its charge is -1.60 x 10^-19 C):

Question 3 options:

We have two small charges. The first is +8.0 nano C and the second is -2.0 nano C.   The two are separated by a distance 4.0 m. The electric field in units of N/c at the midpoint between the two charges is:

Question 6 options:

In January (it's first year of existence) of 2017 ABC Corp issued 100,000 shares of 1.0 par stock for $1,750,000. ABC issued 10 year $200,000 bonds at 95 with stated rate of 9%; and 20 year $400,000 at 105 with stated rate of 9%. Amortized using the staright-line method. Both pay interest semi-annually. ABC lastly issued 5% 5-year convertible deby for $105,000, par was 100,000. Interest paid annual on 1/1. Amortizable using SL method. The debt is convertible into 5,000 shares of stock.

On July 1, 2017, getting ready for internet launch of new product - ABC Company issued 10 year $500,000 10% bonds at 98. The market rate of interest is 10.5%. The interest is paid annually on 12/31. ABC uses the effective interest rate method for amortization. Note that the 10% stated rate is an annual rate.

On 8/1 ABC issued 10,000 shares of $10 par value preferred stock for $12/share.

Durning the year, the sales of widgets skyrocketed. ABC had $3,500,000 in credit sales for inventory. The inventory, which cost $1,500,000(all purchased with credit) was all sold. No inventory remains. We will pay the supplier in Jan 2018.

Due to unbelievable sales the company determined to buy back bonds. On September first they purchased all the outstanding $200,000 debt for $195,000 cash.

ABC had the following cash transactions: Paid salaries of $100,000, rent of $30,000. Paid for insurance used durning the year of $20,000. Had miscelaneous operating expenses of $5,000. On 12/31 it bought machinery for $10,000 in cash. On 12/31 it bought 1,000 of it's common shares back at a price of $10/share.

On 12/15 ABC declared $10,000 cash dividends. The actual payment will not be made until next year.

On 12/31 all of the convertible debt converted into common stock.

PREPARE ALL JOURNAL ENTRIES (including adjusting and closing)

PREPARE INCOME STATEMENT IN GOOD FORM AND COMPLETE

PREPARE BALANCE SHEETIN GOOD FORM AND COMPLETE.

Consider a 1.0 L solution which is 0.40 M CH₃CO₂H and 0.2 M CH₃CO₂Na (K_a for CH₃CO₂H = 1.8 x 10⁻⁵). Calculate the pH of the original soultion, the pH after 0.10 mol of HCl is added to the original solution, and the pH after 0.20 mol of NaOH is added to the original solution. Calculate all the pH values to two decimal places. Assume no volume change on addition. Please explain and /or show work please.