1. Bearing capacity of strip foundation is independent of water table location (True/False)

2. Density of sand significantly affects the bearing capacity factor Nq (True/False)

3. The bearing capacity of square footing (Length x Width = 39 x 39 m) is higher than strip footing (Width 39 m) under similar conditions (True/False)

4. Bending moment of 39 kNm increases the ultimate bearing capacity of strip footing having a width of 39 m (True/False)

5. Shape factors for square footing with inclined loading should always be set to 1.0 (True/False)

A 100 pF capacitor has circular plates of 10.0 cm radius that are 5.0 mm apart and have air beteween them. The capacitor is charged by connecting it to a 12.0 V battery through a 1.0 ohms resistor.

a) Determine the current through the plates at t = 0 (when the battery is connected)

b) Determine the current through the plates at t = 60s?

c) Determine the rate at which the electric field between the plates changes at t= 0 and t = 60s

d) Determine the magnetic field between the plates at t = 0 and at t = 60s

Don't really care about the answers as much, but more about what formulas are being used.

Thanks!

Your task is to value Shake Shack's (SHAK’s) stock. Shake Shack's next dividend (i.e., the dividend at t =
1) is expected to be $3.25. Across years 2 and 3 and 4, dividends will grow by 7%/year. After that, dividends
are projected to grow at a constant rate of 3% forever. SHAK has a debt-to-equity ratio (in market-value
terms) of 1.0. The yield to maturity on SHAK's bonds averages 4% and the company's tax rate is 30%. If the
risk-free rate is 2.2%, the market risk premium is 6%, and SHAK's equity beta is 1.25, what should the stock
sell for today based on a discounted valuation of its projected dividends?

1. What is the fitness (W) value?
   1. It determines how well an organism reproduces
   2. It determines how well an organism makes gametes of a particular genotype
   3. It indicates how strong an organism is
   4. All of the above

In a population of Austrians, the frequency of alleles determining the ABO blood type groups were estimated to be:

            I^A = 0.20

I^B = 0.15

I^O = 0.65

1. What is the expected genotypic frequency for AO?
   1. .26
   2. .85
   3. .13
   4. .50
2. If the fitness value (W) of I^OI^O was 1.0 and for all other genotypes W = 0.85, what would happen in future generations?
   1. The frequency of I^O would increase
   2. The frequency of I^O would decrease
   3. The frequency of I^A and I^B would increase
   4. None of the above

The Voltage amplifiers are available with Avoc = 8 V / V,
Rin = 1.8 kΩ, Ro = 850 Ω. With a 12V DC power source, each amplifier
consumes 1.5 mA average current.

a. How many amps do you need to cascade to get so
minus a voltage gain of 1000 with a load resistance of 1.0 kΩ?
b. What is the voltage gain Av obtained? (Answer with an integer number
rounded)
c. For the cascade connection, find the open circuit voltage gain.
(Answer with a rounded integer)
d. If you have a 1.5 mV input, how efficient is the equivalent amplifier?
and. 
e.Find the transconductance of the complete circuit

Given the following UML class diagram, implement the class as described by the model. Use your best judgment when implementing the code inside of each method.

+---------------------------------------------------+
| Polygon |
+---------------------------------------------------+
| - side_count : int = 3 |
| - side_length : double = 1.0 |
+---------------------------------------------------+
| + Polygon() |
| + Polygon(side_count : int) |
| + Polygon(side_count : int, side_length : double) |
| + getSides() : int |
| + setSides(side_count : int) |
| + getSideLength() : double |
| + setSideLength(side_length : double) |
| + perimeter() : double |
+---------------------------------------------------+

The following information might also be useful:

- The perimeter of a polygon is the sum of it's side lengths.
- Side counts of less than 3 are meaningless for a polygon, and should not be accepted.
- Side lengths of less than 0 are meaningless for a polygon, and should not be accepted.

Drag measurements were taken for a 5 cm diameter sphere in water at 20 °C to predict the drag force of a 1 m diameter balloon rising in air with standard temperature and pressure. Given kinematic viscosity of water (v) = 1.0 X 10^-6 m²/s and kinematic viscosity of air (v) = 1.46 X 10^-5 m²/s.

1. Perform the Buckingham Pi theorem to generate a relationship for F_D as a function of the independent variables. Assume the drag F_D is a function of diameter (d), velocity (V), fluid density (ρ) and kinematic viscosity (v)

2.Determine the sphere velocity if the balloon was rising at 3 m/s

Most geologists believe that the dinosaurs became extinct 65 million years ago when a large comet or asteroid struck the earth, throwing up so much dust that the sun was blocked out for a period of many months. Suppose an asteroid with a diameter of 2.0 km and a mass of 1.0 ×1013 kg hits the earth (6.0×1024 kg) with an impact speed of 4.2 ×104 m/s.

Part A) What is the earth’s recoil speed after such a collision? (Use a reference frame in which the earth was initially at rest.)

Part B) What percentage is this of the earth’s speed around the sun? The earth orbits the sun at a distance of 1.5×1011 m.

"A mass, denoted M, slides downward along a rough plane surface inclined at angle of 25.94 in degrees relative to the horizontal. Initially the mass has a speed of 7.51 m/s, before it slides a distance of 1.0 m down the incline. During this sliding, the magnitude of the power associated with the work done by friction is equal to the magnitude of the power associated with the work done by the gravitational force. What is the coefficient of kinetic friction between the mass and the incline?"

Edit: After some more studying, I found out the answer. However, since I don't know how to remove a question, please work I out so that others (and myself) will know for future reference.