Philosophy 2810F/G Chapter : Fuller.doc

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rubydinosaur559

18 Sep 2012

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Poverty relief, global institutions and the problem of compliance. Buchanan talks about the same thing: fuller knows that everyone is not going to comply, so we should do things in real world mentality and not thinking to utopian. Individual moral responsibility and solutions. as individuals we have a moral obligation to give generously to organizations such as oxfam in order to prevent harm caused by extreme poverty. Enable co operation, long term projects: require public reason - esp 2 recipients of aid. Publicly accessible, appeals, regulated - public reason is the idea that everyone should be able, if they are reasonable, that the reasons given for an action are reason- able and the majority of the population would agree. Aids substantive and procedural fairness - substantive means that aid would go to places it was most needed more often, procedural - the way the decisions were made would be more fair and this would improve credibility.

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A student standing at the edge of a 40.0 m high cliff threw a stonehorizontally and it hit the ground 60.0 meters from the base of thecliff. (Include a labeled diagram showing this information.)
a) How long after its release did the stone hit the ground?(Include any formulas/equations used, show your substitution intoany formula/equation used, and show the answer resulting from yoursubstitution into any formula/equation used.)
b) Calculate the stoneâs initial velocity. (Include anyformulas/equations used, show your substitution into anyformula/equation used, and show the answer resulting from yoursubstitution into any formula/equation used.)
c) How high was the cliff? (Include any formulas/equations used,show your substitution into any formula/equation used, and show theanswer resulting from your substitution into any formula/equationused.)
d) Calculate the stoneâs vertical velocity just before it hit theground. (Include any
formulas/equations used, show your substitution into anyformula/equation used, and
show the answer resulting from your substitution into anyformula/equation used.)
e) Calculate the stoneâs velocity just before it hit the ground.(Include a labeled diagram showing the individual velocity vectors,and the resulting velocity vectors.)
f) What was the stoneâs speed just before it hit the ground?

Problems that require solving the three-dimensional Schrödinger equation can often be reduced to related one-dimensional problems. An example of this would be the particle in a cubical box.

Consider a cubical box with rigid walls (i.e., outside of the cube) and edges of length L. The general solution for this problem is

, where, n_x, n_y, and n_z are all positive integers. Note that this solution is just the product of three solutions to the one-dimensional particle in a box. The energy corresponding to the three-dimensional solution is just the sum of the energies for each of the three one-dimensional solutions:

Part A

What is the smallest allowed energy E0 for a particle in a cubical box?

Express your answer in terms of , m, and L.

Part B

If you are dealing with a very large n_rs, you can assume that each state (point with integer coordinates) corresponds roughly to one unit of volume inside of the sphere. So, the number of states is approximately equal to the volume of the octant of the sphere. Use this idea to find the number N of states with energy less than or equal to for a large n_rs.

Express your answer in terms of n_rs.

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Philosophy 2810F/G Chapter : Fuller.doc

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