Part One: Defining the Problem and Sub-Problems Choose one of the real-world problems about natural resources to research. Explain which one you chose here.

Research this problem to learn more about it. Use the research tools given in the lesson if you need help.

After you have researched the problem, explain in your own words who the problem impacts and why it is important.

List two sub-problems that are part of the bigger problem but are more manageable and solvable.

Explain how these sub-problems are related to or a direct result of the overall problem.

Part Two: Criteria, Constraints, and Prioritizations
Choose one sub-problem that you will investigate further and explain which one you chose here.

List two realistic criteria for the sub-problem.

Explain why it is important for these criteria to be met in order to solve the problem.

List two constraints for the sub-problem.

Explain why these constraints exist. (How do they limit solutions to the problem?)

Prioritization of the criteria and constraints and an explanation supporting the decisions made based on research.

Ranking Criteria or Constraint Reason for Prioritization
1
2
3
4
Part Three: Generate Solutions
List two solutions that you have generated for the chosen sub-problem.

Describe how the sub-problem can be solved, and include the research supporting each solution.

Explain how prioritization was involved in designing each solution.

Explain how both solutions to the sub-problem play a role in solving the larger problem.

List of the sources (at least three) you used for research, following the MLA style guide.

so here is the information for current research:

-nrel's geothermal analysts, scientists, and engineers perform a full range of research from developing advanced methods of locating and accessing geothermal resources to exploring innovative technologies to extract and produce clean energy from the heat of the earth

and here is the information for the technology of geothermal energy:

-it's clean and sustainable

-resources of geothermal energy range from the shallow ground to hot water and hot rock found a few miles beneath the earth's surface, and down even deeper to the extremely high temperatures of molten rock called magma

-almost everywhere, the shallow ground or upper 10 feet of the earth's surface maintains a nearly constant temperature between 50° and 60°f (10° and 16°c)

-geothermal heat pumps can tap into this resource to heat and cool buildings

-a geothermal heat pump system consists of a heat pump, an air delivery system (ductwork), and a heat exchanger-a system of pipes buried in the shallow ground near the building

-in the winter, the heat pump removes heat from the heat exchanger and pumps it into the indoor air delivery system

-in the summer, the process is reversed, and the heat pump moves heat from the indoor air into the heat exchanger

-the heat removed from the indoor air during the summer can also be used to provide a free source of hot water

speed of light in vacuum is 300,000 km/s

speed of light in other mediums is given by the expression v = c/n, where c is the speed of light in vacuum and n is the refractive index of medium.

for the first medium v = 200,000 km/s

  so, refractive index of medium = 300000/200000 = 1.5

    1.5 refractive index is usually for glass. so first medium is glass.

for the second medium v = 250,00 km/s

so, refractive index of medium = 300000/250000 = 1.2

    1.2 refractive index is usually for water. so second medium is water.

for the third medium v = 0 km/s

so, refractive index of medium = 300000/0 = ∞

    ∞ refractive index is usually for opaque mediums. so third medium is opaque medium.