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F=ma Physics • 2021

About the Course

This is a course at the San Diego Math Circle preparing students for the F=ma contest offered by the American Association of Physics Teachers, to select for the USA Physics Olympiad.


The course runs from 1 PM to 2:30 PM Pacific Time on numerous Sundays from November 1, 2020 to February 14, 2021:


  1. November 1, 2020
  2. November 8, 2020
  3. November 15, 2020
  4. December 6, 2020
  5. December 13, 2020
  6. January 10, 2021
  7. January 17, 2021
  8. January 24, 2021
  9. January 31, 2021
  10. February 7, 2021
  11. February 14, 2021


The official schedule is kept in the San Diego Math Circle Master Calendar.


Whiteboards and notes are toward the bottom of the page.

Week 1 – November 1, 2020

Discussed in class –

  • 2018A #2, 4, 5, 9, 11, 14, 19 & 25.

Old exams – here.

  • Please save the 2019 exams and the 2018B exam for later!

HW – for November 8th

  • None!

Week 2 – November 8, 2020

Discussed in class –

  • 2018A #6, 8, 12, 16, 18, 21, 22 & 24.

HW – for November 15th

  • Read about and/or derive the Gaussian error propagation formulas discussed in 2018A #12.

Prepare for a practice test on November 15th.

Week 3 – November 15, 2020

Discussed in class –

  • Practice exam! 2018B.

HW – for December 6th

  • Derive the formula circled in blue on slide 1 of this week's whiteboard.

Practice Exam Form

Week 4 – December 6, 2020

Discussed in class –

  • Most difficult problems from 2018B: #6, 7, 13, 16, 17, 19, 23, 24.

HW – for December 13th

  • Derive the relative uncertainty propagation formula circled in green on slide 6 of this week's whiteboard.
  • Request topics to discuss on December 13 using the form below.

Topic Request Form

Week 5 – December 13, 2020

Discussed in class –

  • Rotational motion. See Rotation notes below.
  • Problems relating to rotation from 2017: #3, 11, 12, 14, 18.

HW – for January 10th

  • None! Enjoy your winter holidays.

Winter Break

Suggestions for practice over the break –

  • Work through the other problems from the exams we went through already.
  • Practice more with rotation. See Rotation notes above, in Week 5.
  • Refer to your favorite physics book for further reading.
  • Save both 2019 exams for later. We will work through them in January.

Week 6 – January 10, 2021

Discussed in class –

  • Orbits and Kepler's Laws. See Orbits notes below.
  • Problems relating to rotation from 2017: #1, 6, 25 and 2016: #4, 8, 9.

HW – for January 17th

  • Generalize Kepler's Third Law for elliptical orbits – slide 2.
  • Read about the vis-viva equation, and try solving 2017 #25 that way – slide 6.
  • Prepare for a practice exam.

Week 7 – January 17, 2021

Discussed in class –

  • Practice exam! 2019A. See form link below.

HW – for January 24th

  • None!

Practice Exam Form

Week 8 – January 24, 2021

Discussed in class –

  • Most missed on 2019A: #5, 8, 10, 14, 17-20 & 25.

HW – for January 31st

  • Request topics to discuss next time! See form below. Please submit your requests by Jan 28th so I have time to prepare.

Topic Request Form

Week 9 – January 31, 2021

Discussed in class –

  • Most difficult problems from 2016: #7, 13-15, 20 & 23-25.

HW – for February 7th

  • None!

Week 10 – February 7, 2021

Discussed in class –

  • Interesting medium and hard problems from 2015: #3, 4, 17, 19, 21 & 23-25

HW – for February 14th

  • None!

Week 11 – February 14, 2021

Discussed in class –

  • Interesting medium and hard problems from 2019B: #3, 6, 10, 16, 17 & 23.

Thanks for participating! Good luck on the exam!

Exam – February 18, 2021

The 2021 F=ma exam will be administered on:

  • February 18, 2021 at 1:00 PM PST

SDMC administration of this year's exam is now closed. I am not directly involved in the administration of the exams, so all questions should be directed to the SDMC administration.

Notes & Whiteboards

F=ma 2021 Course Outline (pdf)Download
Whiteboard Week 1 (20-11-01) (pdf)Download
Whiteboard Week 2 (20-11-08) (pdf)Download
Whiteboard Week 3 (20-11-15) (pdf)Download
Whiteboard Week 4 (20-12-06) (pdf)Download
Whiteboard Week 5 (20-12-13) (pdf)Download
Whiteboard Week 6 (21-01-10) (pdf)Download
Whiteboard Week 8 (21-01-24) (pdf)Download
Whiteboard Week 9 (21-01-31) (pdf)Download
Whiteboard Week 10 (21-02-07) (pdf)Download
Whiteboard Week 11 (21-02-14) (pdf)Download
Rotation Supplement (pdf)Download
Orbits Supplement (pdf)Download

Resources

American Association of Physics Teachers

  • F=ma exam home page.
  • 2021 Physics Team home page.
  • Old F=ma exams 2007-2019.

Books

I recommend Physics, Principles with Applications, Sixth Edition by Giancoli. This is the book I used at this level.

Teaching Homepage

Take a look

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