1. First, an object 1 with mass m and an object 2 with mass 2 m are moving on a straight line at velocities v1i = 1.00 m / s and v2i = -2.00 m / s. Two objects collided inelastically, and the velocities of object 1 and object 2 changed to v1f and vf2, respectively. The velocity is positive in the right direction, and no external force is acting on these two objects. Find v1f and vf2 for cases (1) and (2) below, respectively.
(1) When two objects have a completely inelastic collision.
(2) When two objects have a rebound coefficient e = 0.8.

-What is Purchasing power parity (PPP)?

2-When are currencies overvalued or undervalued?
3-How is the PPP calculated?
4-Why is the PPP important in international business?
5-Using the data below,

a) Find the implied PPP for the Euro Area,

b) Is the Euro under or overvalued against the dollar? and by how much? (must show your calculations for credit)

Big Mac Price USA: $5.28
Big Mac Price EU: 3.95 €

You are a planner for the country represented above. The income elasticity of demand for rice is 0.8.:

Is this likely a relatively wealthy or relatively poor country? Why?

Use the information above and the homogeneity condition to determine the necessary percentage change in the price of rice that will raise the consumption of rice by 5%.

If rice consumption increases by 5%, what precisely are the implications for the demands for substitute goods?

What are general implications of what is known as the ‘income’ effect and the ‘substitution’ effect on your response to this question?

A portfolio manager is holding the following investments:

The manager plans to sell his holdings of Stock Y. The money from the sale will be used to purchase another $15 million of Stock X and another $5 million of Stock Z. The risk-free rate is 5% and the market risk premium is 5.5%. How many percentage points higher will the required return on the portfolio be after he completes this transaction?

A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 143.6-cm and a standard deviation of 0.8-cm. For shipment, 41 steel rods are bundled together. Round all answers to four decimal places if necessary.

1. What is the distribution of X

? X

• ~ N(,)
• What is the distribution of ¯x
• ? ¯x
• ~ N(,)
• For a single randomly selected steel rod, find the probability that the length is between 143.4-cm and 143.5-cm.
• For a bundled of 41 rods, find the probability that the average length is between 143.4-cm and 143.5-cm.
• For part d), is the assumption of normal necessary? NoYes

A potter is making a spherical vase on a potter’s wheel. The vase has a mass of 0.8 kg and a radius of 4.0 cm and the potter’s wheel has a mass of 20.0 kg and a radius of 20.0 cm. The vase is centered on the wheel. While working on the vase, the wheel and vase rotate at 1 revolution every four seconds. When finished with the vase, the potter slows the wheel (and vase) by applying a normal force at the edge of the wheel. If she brings the wheel to a complete stop in 30 s and the coefficient of friction between her hands and the wheel is 0.45, what is the magnitude of the normal force between each hand and the wheel.

You are studying the laminar flow of water in a pipe at 20˚C. The pipe is 2 cm in diameter, and the pressure gradient driving the flow is 0.8 Pa/m.

1. Find the x-sectional average velocity (Poiseuille’s Law) and the maximum velocity achieved at the centerline of the pipe (use the equation for U_max presented in the alternative derivation of Poiseuille’s Law). How many times greater is the maximum velocity compared to the average velocity?
2. Is this ū/u_max ratio constant or does it vary with some other parameter? Prove your answer by deriving an equation for ū/u_max from the equations used in part.
3. Verify that the flow is laminar.

In 2011-2015, mutual fund manager, Diana Sauros produced the following percentage rates of return for the Mesozoic Fund. Rates of return on the market index are given for comparison.

Calculate (a) the average return on both the Fund and the index, and (b) the standard deviation of the returns on each. (Do not round intermediate calculations. Round your answers to 2 decimal places.)

Your manager wants you to design a new superinsulated hot-water heater for the residential market. A coil of Nichrome wire is to be used as the heating element. Calculate the length of wire required. (The water heater is cylindrical in shape, and is completely filled with water. Let the diameter of the water heater be 50 cm and its height 0.8 m. The coil of Nichrome wire is located inside the water heater, in contact with the water. Assume that the diameter of the Nichrome wire is 2.0 mm and that the water, initially at 20°C, is to be heated to 77°C in 1.0 h. Let the voltage used by the water heater be 120 V.)