Question 1: In areas of enhanced heat flow, geothermal heating can be used to supply heating to homes, either by using ground water directly or by placing a water reservoir at depth. In Iceland, where the average temperature over the year is 4.6ºC, the geothermal flux can be as high as 300 mW m^-2.

1. If you wanted to be able to supply a home with indoor temperature at 25ºC and water at a temperature of 55ºC, how deep would your reservoir need to be? (1 mark)

2. Why might Iceland have such a high geothermal flux compared to other areas?

3. Does high geothermal flux accelerate the melting of ice sheets, why or why not?

A charge of -4 µ C is located at (x, y) = (0, 0) and a second charge of 2 µ C is located at x = 1. (a) Find a general expression for the electric field. (b) At what point, if any, will the electric field vanish?

Subject: Physics + Economics

Life Cycle Diagram:

1) Consider the provision of hot water using an electric water heater fueled by electricity produced from natural gas in a centralized powerplant. Draw a process flow diagram for this energy service with at least four stages in the supply chain. List at least four social or environmental impacts that result from process and identify where in your diagram the impacts occur.

2) List and describe three weakness of life cycle assessment for evaluating future energy systems, and suggest ONE solution for one of the weakness.

3) List & explain two separate factors that can lead to an energy source having a low Levelized Cost of Energy [LCOE] despite the high capital cost.

How is the path length difference calculated in objective question 1 of chapter 18 (Physics for Scientists and Engineers, ninth edition)? Why is it changed by 0.2 m upon sliding the tube up 0.1m?

Two 10-cm-diameter charged disks face each other, 23 cm apart. The left disk is charged to - 50 nC and the right disk is charged to + 50 nC .

A)

What is the electric field E⃗ , both magnitude and direction, at the midpoint between the two disks?

B)

C)What is the force F⃗  on a -3.0 nC charge placed at the midpoint?

A point charge q₂ = -3.9 μC is fixed at the origin of a co-ordinate system as shown. Another point charge q₁ = 4.5 μC is is initially located at point P, a distance d₁ = 8.2 cm from the origin along the x-axis

Point R located at d₂ = 3.3 cm

The charge q₂ is now replaced by two charges q₃ and q₄ which each have a magnitude of -1.95 μC, half of that of q₂. The charges are located a distance a = 2 cm from the origin

What is the potential energy of the system composed of the three charges q₁, q₃, and q₄, when q₁ is at point R? Define the potential energy to be zero at infinity.

Two identical conducting spheres, fixed in place, attract each other with an electrostatic force of 0.154 N when their center-to-center separation is 42.2 cm. The spheres are then connected by a thin conducting wire. When the wire is removed, the spheres repel each other with an electrostatic force of 0.0430 N. Of the initial charges on the spheres, with a positive net charge, what was (a) the negative charge on one of them and (b) the positive charge on the other? (Assume the negative charge has smaller magnitude.)

List engineering applications of “Scalar Fields” and “Vector Fields”.

Explain in which courses you have learned about the applications of these fields.

(What is a Tensor? and have you heard about Tensor fields?).

Explain the meaning of the term “Conservative” and its applications. What is the relation between this term and the operators Gradient and Curl?

Newton's second law states that net force is equal to mass times acceleration. Provide examples of how this law can be witnessed in everyday life and explain why this law is important in astronomy.

1. Explain one way in which the ATR spectrum of octanoic acid is different from the transmission mode spectrum.

2. How does ATR gives a more accurate result than Transmission FTIR?

3. Explain why the baseline (IR spectrum) is not 100% T for the KBr pellet and the Nujol mull spectra of benzoic acid.

What are the physics principles involved in making a pair of polarized sunglasses?

An electric vehicle starts from rest and accelerates at a rate of 2.1 m/s2 in a straight line until it reaches a speed of 17 m/s. The vehicle then slows at a constant rate of 1.1 m/s2 until it stops. (a) How much time elapses from start to stop? (b) How far does the vehicle move from start to stop? solve both a b show units