Part A) A solid sphere of mass M and radius R is mounted on an axle through its center. The axle is attached to a horizontal spring of constant k, and the sphere rolls back and forth without slipping. Derive an expression for the total energy of this system in terms of the displacement of the spring x, speed v of the center-of-mass of the sphere when its displacement is x, and M, and k.

Part B) Derive the expression for the angular velocity of the oscillation. Hint: Take the derivative of the energy with respect to time and set it equal to zero. The acceleration of simple harmonix motion is of the form alpha = -omega^(2) * x

(For part A I used 2/5MR^2 for the moment of inertia but it is saying it is wrong so please help)

Two capacitors,

C₁ = 16.0 μF

and

C₂ = 32.0 μF,

are connected in series, and a 15.0-V battery is connected across them.

(a) Find the equivalent capacitance, and the energy contained in this equivalent capacitor.

(b) Find the energy stored in each individual capacitor.

(c) If the same capacitors were connected in parallel, what potential difference would be required across them so that the combination stores the same energy as in part (a)?
V____

Which capacitor stores more energy in this situation, C₁ or C₂?

C₁C₂    Both C₁ and C₂ store the same amount of energy.

Both Bond A and Bond B have 8.4 percent coupons and are priced at par value. Bond A has 7 years to maturity, while Bond B has 18 years to maturity.

a. If interest rates suddenly rise by 1.2 percent, what is the percentage change in price of Bond A and Bond B? (A negative value should be indicated by a minus sign. Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places.)

b. If interest rates suddenly fall by 1.2 percent instead, what would be the percentage change in price of Bond A and Bond B? (Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places.)

please explain about swot analysis of grameen bank.

I just want to know the strengths and weaknesses but please add why it is important!

How is the seasonal cycle different in the Northern Hemisphere versus the Southern hemisphere and how does this affect levels in CO2?

A 360.0?mL buffer solution is 0.160M in HFand 0.160M in NaF.

What mass of NaOH could this buffer neutralize before the pH rises above 4.00?

If the same volume of the buffer was 0.370M in HF and 0.370M in NaF, what mass of NaOHcould be handled before the pH rises above 4.00?

Lenitnes Company is considering an investment in technology to improve its operations. The investment will require an initial outlay of $265,000 and will yield the following expected cash flows. Management requires investments to have a payback period of 3 years, and it requires a 10% return on its investments. (PV of $1, FV of $1, PVA of $1, and FVA of $1) (Use appropriate factor(s) from the table provided.)

Required:
1. Determine the payback period for this investment.
2. Determine the break-even time for this investment.
3. Determine the net present value for this investment.

cause and effect argumentation essay on alcoholism

Titration Curve of unknown Acid

Molarity of NaOH =.172

1. Your unknown acid is one of the following: oxalic acid (H2C2O4*2H20, pKa1=1.27, pKa2=4.27), citraconic acid (C5H6O4, pKa1=2.29, pKa2=6.15), or Maleic Acid (C4H4O4, pKa1=1.92, pKa2=6.09). These acids are classified as diprotic. Calculate the molar mass for your acid using the average mass from trials 1 and 2 and the average volume at the first equivalence point; then redo the calculation using the average mass from trials 1 and 2 and the average volume at the second equivalence point.

2. Using the average molar mass at the second equivalence point that you calculated in question 1, and your average values of pKa1 and pKa2, indentifiy your unknown acid. Explain.

A laser used in LASIK eye surgery produces 55 pulses per second. The wavelength is 193 nm (in air), and each pulse lasts 10.0 ps. The average power emitted by the laser is 120.0 mW and the beam diameter is 0.80 mm.

(a) What is the total energy of a single pulse? mJ

(b) What is the intensity during a pulse? W/m2

Choose a company. Use that company's operations to give three (3) examples of possible accounts receivable customers, and three (3) examples of possible makers of notes receivables in that company.

Describe what a periodic phenomenon is,and what is Period and frequency.

Emma has provided to you a listing of the transactions she has undertaken throughout the financial year to assist you in completing her 2015 income tax return. Sale of a block of land for $1,000,000: Emma purchased the land as an investment in 1991. The purchase price was $250,000, plus $5,000 in stamp duty, $10,000 in legal fees. To fund the purchase, she took out a loan on which she paid interest totalling $32,000. During the period of ownership her council rates, water rates and insurance totalled $22,000. In January 2005 a dispute occurred with a neighbour over the use of the land and legal fees incurred amounted to $5,000 in resolving this dispute. Before putting the property on the market $27,500 was spent to remove a number of large dangerous pine trees that were on the land. Advertising, legal fees and agent’s fees on the sale of the land were $25,000. Sale of Emma’s 1000 shares in Rio Tinto for $50.85 per share: Emma paid brokerage fee of 2% on the sale. Emma initially purchased the shares for $3.5 per share in 1982. Sale of a stamp collection Emma had purchased, from a private collector, in January 2015 for $60,000: Emma sold the collection at auction for $50,000. Auction fees totalled $5,000 for the sale. Sale of a grand piano for $30,000: It was initially bought for $80,000 in 2000. HI6028 Taxation Theory, Practice and Law Individual Assignment T2.2019 5 Advise Emma of the capital gain tax (CGT) consequences of her transitions. Ignore indexation. Your answer must include references to relevant tax law and or cases.

Prepare a 2.00 L of a 2.00 M buffer of pH 4.35. You can use citric acid (pka 3.09, 192.1 g/mol) and NaOH (10.0 M). Calculate how much of each reagent (and water) to make the buffer (show work).

The answers are:

Citric acid: 786 g, NaOH: 514 mL, water: 1.486 L

How do you get to these results?

Consolidated Worksheet and Balance Sheet on the Acquisition Date (Equity Method)Consolidated Worksheet and Balance Sheet on the Acquisition Date (Equity Method) Peanut Company acquired 90 percent of Snoopy Company's outstanding common stock for $270,000 on January 1, 20X8, when the book value of Snoopy's net assets was equal to $300,000. Peanut uses the equity method to account for investments. Trial balance data for Peanut and Snoopy as of January 1, 20X8, are as follows:

Peanut Company Snoopy Company

Assets  

Cash 55,000 20,000   

Accounts Receivable 50,000 30,000  

 Inventory 100,000 60,000   

Investment in Snoopy Stock 270,000  

 Land 225,000 100,000   

Buildings & Equipment 700,000 200,000   

Accumulated Depreciation  (400,000)  (10,000)

Total Assets 1,000,000 400,000

Liabilities & Stockholders' Equity   

Accounts Payable 75,000 25,000   

Bonds Payable 200,000 75,000   

Common Stock 500,000 200,000   

Retained Earnings  225,000 100,000

Total Liabilities & Equity 1,000,000 400,000

Required: Prepare the journal entry on Peanut's books for the acquisition of Snoopy on January 1, 20X8.

Prepare a consolidation worksheet on the acquisition date, January 1, 20X8, in good form.

Prepare a consolidated balance sheet on the acquisition date, January 1, 20X8, in good form.