Assuming Green-Ampt infiltration and: porosity = 0.5; initial moisture content = 0.2; saturated hydraulic conductivity = 0.65 cm/hr; wetting front suction = 5.5 cm and rainfall from 0-1 hr = 0.6 cm.hr and 1-2 hr = 3 cm/hr.

a) Determine the time ponding first occurs in this storm.

b) Determine the depth of infiltration at depth of runoff generated in each 1 hr interval.

c) What is the depth of the wetting front at the end of the two hour storm?

2.3)  Consider a 3-meter long pendulum placed on the Moon and given initial angular displacement of 0.2 rad and initial velocity of 1 rad/s. Calculate the maximum angular velocity and the maximum angular acceleration of the swinging pendulum (note that gravity on the Earth’s moon is gm=g/6, where g is the acceleration due to gravity on Earth).

We have a metal alloy (bcc) that

Metal A is FCC, 30 atom% (40.244 wt%), r=0.2 nm, A = 55 g/mol

and, Metal B is BCC, 70 atom% (59.756 wt%), r=0.24 nm, A = 35 g/mol

1. Find the volume per atom for metal A and metal B by dividing the unit cell volume by the number of atoms in the unit cell. Put your units in cm3/atom.

2. Use the atom% values and the answers to (a) to find the average volume per atom

Consider two economies: A and B. Both have identical parameters a =1/3, s =0.2, d = 0.05, L =30, and A =1. However, Economy A starts with K₀ = 100, while Economy B starts with K₀ = 300.

1. Which economy is richer in year 0 (calculate GDP per capita for each country)?

2. Which economy has higher consumption per person in year 0 (calculate C per capita)?

3. After 50 years, which economy is richer in year 0 (calculate GDP per capita for each country)?

4. After 250 years, which economy is richer in year 0 (calculate GDP per capita for each country)?

5. In light of your findings, does it matter – in the long run – where an economy starts (i.e. whether it starts rich or poor). What kind of experiments with the model would you conduct to make sure you can be confident about your conclusion?

Using the table of probabilities and returns for a stock mutual fund, what is the mutual fund's expected return?

Multiple Choice

• 9.15%

• 10.25%

• 7.75%

• 8.00%

A coffee machine dispenses normally distributed amounts of coffee with a mean of 12 ounces and a standard deviation of 0.2 ounce. If a sample of 9 cups is selected, find the probability that the mean of the sample will be between 11.9 ounces and 12.1 ounces. Find the probability if the sample is just 1 cup.

Suppose that a 10-mL sample of a solution is to be tested for I− ion by addition of 1 drop (0.2 mL) of 0.14 M Pb(NO3)2. What is the minimum number of grams of I− that must be present in order for PbI2(s) (Ksp=8.49×10−9) to form?

Suppose that a 10-mL sample of a solution is to be tested for I− ion by addition of 1 drop (0.2 mL) of 0.10 M Pb(NO3)2.

What is the minimum number of grams of I− that must be present in order for PbI2(s) (Ksp=8.49×10−9) to form?

In an RLC circuit, ?= 10 Ω,?= 0.5 ??, and ?=6.0 ??, the current in the inductor is ??=12 ? sin(??+0.2). The circuit operates at half of the resonance frequency.
a) Find the current in the resistor, capacitor and for the entire circuit.
b) Find the voltage in the resistor, capacitor, and inductor.
c) Find the emf of the AC source

How much ice is needed to make ice tea at a temperature of 5⁰ C from 140 grams of hot tea at 65⁰ C contained in a glass container of 50 gm with specific heat equal to 0.2 cal/gm⁰ C. Treat the tea as colored water.