Problem 1
Derive the governing relation used in Lecture 13 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 7 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, Thought Questions 8 and 9, plus Figuring for Yourself 19. 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.