Here are specific requirements for the assignment
1. In a well-formatted introductory section of your Notebook, describe the problem in your own words. Jupyter allows you to use Markdown to neatly format your code. Additionally, if you want to typeset your equations, Jupyter allows you to do so in a Markdown section by using LaTeX within $ delimiters. However, this is not required of you, and it can be tedious if you’re not used to it. For those who might be interested, I’ve provided an example in Appendix 3.
2. Create a neatly-formatted and well-documented code that solves the problem described above. It should create a plot and a neatly-formatted set of iterations as described above. Your constants γ , ρs and ρw should be clearly defined at the top of your code so that they can be easily modified to perform experiments.
3. Perform a first experiment using values of γ = 1 m, ρs = 200 kg/m3 and ρw = 1000 kg/m3. Save these values, as you will put them in a table below.
4. Perform another experiment, this time using a sphere density of 400 kg/m3..
5. Perform another experiment using the original sphere density, but placing the sphere in salt water rather than fresh water.
6. Perform another experiment using the original sphere density, but placing the sphere in liquid mercury.
7. Create a neatly-formatted concluding Markdown section in your Jupyter notebook, which includes a table of the above results, and a discussion of why you think your model is correct based on your results, and any other knowledge you might be able to add. See Appendix 2 of this document for an example of creating a table in Markdown.
