A transportation engineer collected the data shown in the Table below. Develop a linear v-k model, and then establish v-q and q-k relationships. Draw v-k, v-q and q-k diagrams and depict all of the critical values (i.e., free-flow speed, jam density, maximum traffic flow, critical speed and density) in the three diagrams

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)

Suppose that a decision-maker’s preferences over the set A={a, b, c} are represented by the payoff function u for which u(a) = 0, u(b) = 1, and u(c) = 4.

(a) Are they also represented by the function v for which v(a) =−1, v(b) = 0, and v(c) = 2?

(b) How about the function w for which w(a) =w(b) = 0 and w(c) = 8?

(c) Give another example of a function f:A→R that represents the decision-maker’s preferences.

(d) Is there a function that represents the decision-maker’s preferences and assigns negative numbers to all elements of A?

2.1)

What is the speed of an electron that accelerates from rest starting close to the negative plate of a capacitor just before it hits the positive plate? The electric field between the plates is 300 V/m and the distance between the plates is 0.050 m.

2.2)

A charge of +2.00 nC is on the Y axis at the point (0, 2.00) m. A charge of -3.00 nC is on the X axis at the point (3.00, 0) m. Find the direction of the electric field at the Origin.

2.3)

The electric field at a point A has the components E_x = 3.00 V/m   and E_y = +2.50 V/m. Find the direction of the force acting on a charge -14.0 nC placed at the point A. Express your answer as an angle measured counterclockwise from the positive X axis.

2.4)

A charge of 3.00 nC is on the Y axis at the point (0, 2.00) m. A charge of -2.00 nC is on the X axis at the point (-3.00, 0) m. Find the magnitude of the electric field at the Origin.

Post I is your initial conclusion based on the data obtained in your experiment. It should be written in complete sentences.

*Upload a picture of your experimental setup. The picture must include a piece of paper with your name and the date. (Instructions on how to do this is shown on the Lab Discussions page.) Not having the correct pictures will result in a zero grade.

*Post the Force-Mass graph from the Gravity Force Lab.

*Describe the relationship between mass and the force of gravity. Specifically, how does YOUR GRAPH support your description? NOTE: Be very careful about bringing the acceleration due to gravity into your discussion as your data is being taken on objects that are not accelerating!

*Write an equation for the line on the graph. Explain what this equation means. What is the physical meaning of the slope? What are the labels? What is significant about the y-intercept? Don't forget to change the "x" and "y" variables and to label your slope!

*Explain (using your equation) how you could determine the force of gravity acting on an object.

A real estate major collected information on some recent local home sales. The first 6 lines of the database appear below. The columns correspond to the house identification number, the community name, the ZIP code, the number of acres of the property, the year the house was built, the market value, and the size of the living area (in square feet).

For the real estate data of Exercise 1, do the data appear to have come from a designed survey or experiment? What concerns might you have about drawing conclusions from this data set?

Acturary and trustee reports indicate the following changes in the PBO and plan assets of White Inc. during 2016:

Required:

A. Prepare the appropriate journal entries to record the expense and the cash contribution to plan assets.

B. Prepare the appropriate journal entries to record any 2016 gains and losses.

C. Where would you find the pension on White Inc.'s balance sheet at the beginning of 2016? What amount would you look for?

Actuary and trustee reports indicate the following changes in the PBO and plan assets of White Inc. during 2016:

Required:

A. Prepare the appropriate journal entries to record the expense and the cash contribution to plan assets.

B. Prepare the appropriate journal entries to record any 2016 gains and losses.

C. Where would you find the pension on White Inc.'s balance sheet at the beginning of 2016? What amount would you look for?