In an insulated container, 0.50 kg of water at 80∘C is mixed with 0.050 kg of ice at −5.0∘C. After a while, all the ice melts, leaving only the water. Find the final temperature Tf of the water. The freezing point of water is 0∘C.
In an inkjet printer, tiny drops of ink of inertia m are given a charge q and then fired toward the paper at speed v. They first pass between two charged plates of length ℓ that create a uniform electric field of magnitude E between them (Figure 1) . The field direction is perpendicular to the plates and to the initial path of the drops. The electric field deflects each drop from its initial horizontal path and is used to control what is printed on the paper.
Part A
Derive an expression for how far in the vertical direction a drop is deflected as it passes between the plates. Use the notation l for the length of the plates ℓ.
Part B
For a drop inertia of 1.0×10−10 kg , an electric field strength of 1.4×106 N/C , a plate length of 17 mm , and a drop speed of 29 m/s , calculate the drop charge necessary to result in a deflection of 1.3 mm.
In an inflationary environment:
A. a company’s net income will be higher if it uses LIFO than if it uses FIFO.
B. a company’s cost of goods sold will be lower if it uses LIFO as opposed to FIFO.
C. a company’s net income will be the same regardless of whether LIFO or FIFO is used.
D. the amount of inventory on the company’s balance sheet will be lower if it uses LIFO as opposed to FIFO cost flow.
In an inertial frame, an object cannot remain at rest unless which of the following holds?
a. The net force acting on it is zero.
b. There are no forces at all acting on it.
c. The net force acting on it is constant.
d. There is only one force acting on it.
In an extension of the Merton model, a very highly geared company has two tiers of
debt, a senior debt and a junior debt. Both consist of zero coupon bonds payable in
three years time. The senior debt is paid before the junior debt.
Let F
t be the value of the company at time t, L1 the nominal of the senior debt and L2
the nominal of the junior debt.
(i) (a) State the value of the senior debt at maturity.
(b) Deduce the value of the junior debt at maturity
In an experiment from last semester, many of you observed a green solution containing [Ni(H2O)6]2+. Upon adding ethylenediamine (en), you observed a blue (blue) solution containing [Ni(en)2(H2O)2]2+. What does this indicate about the relative size of the crystal field splitting for the water ligand compared to the ethylenediamine ligand? And how do you know?
In an experiment 7.220 g of silicon dioxide is reacted with 15.018 g of hydrogen fluoride gas according to the equation: SiO2+HF ===> SiF4+H2O 1. What is the limiting reactant? What mass of the other reactant is in exess? What mass of water is produced?
in an experiment, 32g of iron oxide reacts with 16.2g of aluminum. which is the limiting reactant?
In an exchange economy with two consumers and two goods, consumer A has utility function U(xA, yA) = (xA)^2yA, consumer B has utility function U(xB, yB) = xByB.
Let (¯xA, ¯yA) represent the endowment allocation of consumer A and (¯xB, ¯yB) represent the endowment allocation of consumer B.
The total endowment of each good is 10 units. That is, ¯xA + ¯xB = 10 and ¯yA + ¯yB = 10. Set y as a numeraire.
a) Derive the contract curve in terms of xA and yA . As ¯xA increases (without changing the total endowment of x), how does the contract curve change?
b) Given any price of x, for each consumer, derive the demand for good x as a function of the consumer’s endowment and the price of x.
That is, express xA as a function of ¯xA, ¯yA and Px , and xB as a function of ¯xB, ¯yB and Px.
c) Let Px* represent the equilibrium price of x. Express Px* as a function of ¯xA and ¯yA . (Hint: use the market clearing condition and the demand functions in the previous part.) As ¯xA increases, does the equilibrium price of x increase, decrease, or stay the same?
In an essay of no less than three pages, explain (1) the criteria for decision-making under uncertainty and (2) decision-making under risk. What is the difference between these two “other-than-certainty” classifications? Include examples of each in the essay.
Be sure to provide research to support your ideas. Use APA style, and cite and reference your sources to avoid plagiarism.
Hi there! Click one of our representatives below and we will get back to you as soon as possible.