Problem 1
Derive the governing relation used in Lecture 09 and state two assumptions. Apply it to the supplied data or constants; retain units.
Objectives
- Derive and apply the unit toolkit.
- Analyze a concrete Galactic dataset.
- Communicate assumptions, uncertainty, and evidence.
Instructions
Show equations, units, intermediate steps, and a final interpretation. Code is required for the data question; include the input filename and software environment. Cite data and readings. Revisions and resubmissions are encouraged when accompanied by a change note.
Problem 2
Use the ASTR410 CSV associated with Unit 5 to make one plot, fit or transform the requested quantity, and report a sensitivity test that changes one modeling choice.
Problem 3
A colleague claims the displayed trend proves a unique physical explanation. Write a 250-word rebuttal that distinguishes observation, inference, and alternative models.
Problem 4
Challenge: compare the result with a second tracer or literature value. Identify whether the comparison is limited by measurement error, selection, or model mismatch.
Exact reading anchor
OpenStax Astronomy 2e, Chapter 25, Figuring for Yourself 21 and Thought Question 14. These identifiers were checked against the local extracted problem index and the Chapter 25 exercise block; human spot-check against the adopted PDF remains required.
Deliverables
Written derivation, labeled plot, code or notebook, uncertainty statement, and bibliography. Total: 100 points.