Reference no: EM131003933
A reservoir in the form of a straight prism with triangular base is shown in the figure.
Its vertical faces are isosceles triangles of height 3 m and base 2 m, its length is 6 m, it is near the surface of the Earth, and it is full of water, which will be pumped to a height of 1 m above the reservoir.
Denote by x the height in meters measured from the bottom of the reservoir.
a. What is, at first approximation, the volume of the layer of water between the heights x and x + Δx?
b. What is, at first approximation, the work required to pump that layer of water to a height of 1 m above the reservoir? Recall that the density of water is 1000 kg/m3, and gravitational acceleration at the surface of the earth is g ≅ 9.8 m/s2.
c. What is, in Joules, the work required to pump all the water from the reservoir to a height of 1 m above the reservoir?
|
Find an article that discusses a decision some firm has made
: (Wall Street Journal) The ability to measure the true (op- portunity) cost of a choice is a skill that will pay you great dividends. Use any issue of the Wall Street Journal, and find an article that discusses a decision some firm has made. (Try t..
|
|
Write a researched paper on overarching themes
: The final paper must be a minimum of 5 full pages in length (not including the work cited). For this paper you will need to pick one of the overarching themes in the class and write a researched paper
|
|
What lessons did you learn about the u.s. economy
: Sketch a PPF for the years 1996 and 1997. Assume that resource availability and technology were the same in both years but higher than in 1982 and 1983. Note that the unemployment rate in the late 1990s was much lower than in the early 1980s.
|
|
Which two guidelines are most important
: Which two guidelines are most important to your knowledge asset at this point in the course and why?
|
|
What is the volume of the layer of water
: What is, at first approximation, the volume of the layer of water between the heights x and x + Δx? What is, in Joules, the work required to pump all the water from the reservoir to a height of 1 m above the reservoir?
|
|
How local communities react to global forces influencing
: Describe how local communities react to global forces influencing and mingling with local cultures. Support your description with an example from the class
|
|
Calculate his accounting profit
: Calculate his accounting profit for each of the two years of operations. Explain why the assumptions made at the end of the first year led to the wrong profit estimate.
|
|
What can you conclude about the two stars
: A hot blue-white star has brighter absolute magnitude than a cooler, red star. the red star appears brighter from earth. What can you conclude about the two stars
|
|
Compute the slope of the curve between points a and b
: Construct and label a set of axes and plot these six points. Label each point.Which variable do you think should be measured on the vertical axis, and which variable should be measured on the horizon- tal axis?
|