(a) A constant force < 31, -13, 36 > N acts through a
displacement < 0.17, 0.34, -0.24 > m. How much work does this
force do?
Work =
?J
(b) An object with mass 7 kg moves from a location < 28, 28, -43
> m near the Earth's surface to location < -34, 16, 45 >
m. What is the change in the potential energy of the system
consisting of the object plus the Earth?
Change of potential energy = ?J
(c) A spring whose stiffness is 900 N/m has a relaxed length of
0.59. If the length of the spring changes from 0.48 m to 0.86 m,
what is the change in the potential energy of the spring?
Change of potential energy = ?J
(d) You observe someone pulling a block of mass 33 kg across a
low-friction surface. While they pull a distance of 6 m in the
direction of motion, the speed of the block changes from 3 m/s to 5
m/s. Calculate the magnitude of the force exerted by the person on
the block.
F = ?N
(e) What was the change in internal energy (chemical energy plus
thermal energy) of the person pulling the block?
Change in internal energy = ?J
In: Physics
In August 2018, the U.S. Department of Agriculture (USDA) announced the decision to purchase 11 to 13 million gallons of milk from dairy farmers, amounting to $50 million in total.
With the above information, which do you think was occurring in the dairy market that prompted USDA to make the purchase--a shortage or a surplus? Which person or group of people will USDA's purchase help? And finally do you think the purchase will impact the dairy market in terms of price, supply, and/or demand?
In: Economics
How do you interpret the price indices in Exhibit 3? How do economists construct them? Use Excel regression to analyze the relationship between the adjusted price index (dependent variable and year (independent variable). Interpret your regression findings by discussing the coefficient of determination (R-squared), the regression coefficient, the regression equation, and the p value. Can you use the regression equation to predict the price indices? Take into account statistical, macroeconomic, and other considerations.
EXHIBIT 3
|
Number |
Year |
Gross Income |
Price Index |
Adjusted Price Index |
Real Income |
|
1 |
1991 |
50,599 |
136.2 |
1.362 |
37150.51 |
|
2 |
1992 |
53,109 |
140.3 |
1.403 |
37853.88 |
|
3 |
1993 |
53,301 |
144.5 |
1.445 |
36886.51 |
|
4 |
1994 |
56,885 |
148.2 |
1.482 |
38383.94 |
|
5 |
1995 |
56,745 |
152.4 |
1.524 |
37234.25 |
|
6 |
1996 |
60,493 |
156.9 |
1.569 |
38555.13 |
|
7 |
1997 |
61,978 |
160.5 |
1.605 |
38615.58 |
|
8 |
1998 |
61,631 |
163 |
1.630 |
37810.43 |
|
9 |
1999 |
63,297 |
166.6 |
1.666 |
37993.40 |
|
10 |
2000 |
66,531 |
172.2 |
1.722 |
38635.89 |
|
11 |
2001 |
67,600 |
177.1 |
1.771 |
38170.53 |
|
12 |
2002 |
66,889 |
179.9 |
1.799 |
37181.21 |
|
13 |
2003 |
70,024 |
184 |
1.840 |
38056.52 |
|
14 |
2004 |
70,056 |
188.9 |
1.889 |
37086.29 |
|
15 |
2005 |
71,857 |
195.3 |
1.953 |
36793.14 |
In: Math
Do the following problems in Excel. Submit your Excel spreadsheet so I can see how you solved the problems (functions you used).
Mine A: The mine is expected to make $3.5 billion in year 1, $4.5 billion in year 2, and $5.5 billion in years 3-6 and $4.25 billion in years 7-10. At the end of year 10, Barrick will need to spend $202 million on environmental clean-up costs and expects the residual value to be $200 billion.
Mine B: The mine is currently in operation and produces $4.1 billion per year. At the end of 10 years the residual value would be $200 billion and no environmental clean-up costs would be necessary.
Which mine should Barrick buy for $142 billion. (To simplify things, assume Net Income is earned one time per year at the end of the year.) The appropriate discount rate is 6.22% compounded quarterly. (15 points)
In: Accounting
(For C++) Assume that sentence is a variable of type string that has been assigned a value . Assume furthermore that this value is a string consisting of words separated by single space characters with a period at the end. For example: "This is a possible value of sentence."
Assume that there is another variable declared , secondWord, also of type string . Write the statements needed so that the second word of the value of sentence is assigned to secondWord. So, if the value of sentence were "Broccoli is delicious." your code would assign the value "is" to secondWord.
In: Computer Science
List the relational operators recognized by Python, and explain their meanings
In: Computer Science
Sports Corp has 11.8 million shares of common stock outstanding, 6.8 million shares of preferred stock outstanding, and 2.8 million bonds. If the common shares are selling for $26.8 per share, the preferred shares are selling for $14.3 per share, and the bonds are selling for 96.82 percent of par, what would be the weight used for equity in the computation of Sports's WACC? 55.14% 10.12% 33.33% 11.26%
Par Value 1000
In: Finance
How does variety lead to paralysis of action?
In: Economics
Consider a market consisting of several small pulp & paper mills operating in the South-east. These firms discharge chlorine and other waste products into nearby rivers and streams. The rivers and streams are not privately owned, and the mills’ discharges are currently unregulated by the EPA or by the states’ environmental agencies. The demand for paper produced by the mills in this market is P = 800 - 0.5Q. The marginal cost of producing paper in this market is MC = 20 + 0.3Q, where P and MC are expressed in dollars, and Q is expressed in tons of pulp and paper.
a. Determine this market’s equilibrium price and quantity, total revenue, marginal cost, consumer and producer surplus.
b. University researchers estimate that chlorine emissions from the industry's production impose costs, unaccounted for the industry or the market in which it operates, equal to P = 0.05Q. Determine the market’s efficient equilibrium price and quantity when all costs are accounted for.
c. The researchers then suggest that a tax, equal to the unaccounted for costs, be imposed on the production of pulp & paper in this market. What is the dollar amount of the tax? How much in revenue would the government collect? Would the market be inefficient with the tax? Explain (briefly and concisely) your answer.
In: Economics
What are the common types of social media? How do they differ from each other?
In: Nursing
Explain Business Intelligence in one page or less. Focus upon the concept that ‘BI’ is an umbrella term and explain what the components of a ‘BI’ system are and what its architecture and purpose are.
In: Computer Science
Given the following list of values, perform a binary search for the indicated search item. Use the binary search algorithm on pg. 1026 of our textbook. Show the values of first, last and middle, and the number of comparisons made after each iteration of the loop. Your should create a table like the following to show your work, where first and last are the values of the variables at the beginning of the loop, and mid is the midpoint used during that iteration, list[mid] is the value in the list at the midpoint, and No. of key comparisons should be the number of comparisons made during this iteration by the algorithm:
Iteration first last mid list[mid] No. of key comparisons 1 0 12 ? ? ?
List:
[ 2, 3, 4, 4, 5, 7, 10, 14, 15, 17, 22, 23, 24 ]
Searching for value: 3
In: Computer Science
Language: Python
Create a graph and then set initial and goal states such that the number of nodes visited for BFS is smaller than that in DFS. Now modify the initial and goal state such that the number of nodes visited for BFS is larger than that in DFS.
In: Computer Science
If 4.1 g of butanoic acid, C4H8O2, is dissolved in enough water to make 1.0 L of solution, what is the resulting pH?
In: Chemistry
Is population growth an impediment for economic development? Discuss the arguments in favour and against.
In: Economics