If you are a high school student who is passionate about physics and good at taking competitive exams, the F=Ma exam is a very good option for you. You will be able to strengthen your abilities in physics by studying. Additionally, if you score well, you will be able to participate in the United States of America Physics Olympiad (USAPhO), which is a very prestigious competition. Continuing to score well can lead to participation in their training camp and eventually in the International Physics Olympiad (IPhO). These can be very enriching experiences. Additionally, they are among some of the strongest awards you can get when it comes time for applying to competitions as IPhO is a well-recognized international science competition.
Introduction to the F=ma Exam
The F=ma exam, organized by the American Association of Physics Teachers (AAPT), is the qualifying exam for the USA Physics Olympiad (USAPhO). Every year, the top 400 scoring students receive an invitation to participate in the USAPhO. After that, 20 are selected for training camp and 5 then represent the US at IPhO. I hope to provide you with tips to perform as well as possible in this exam.
Preparing for and Taking the F=ma Exam
Timeline and Eligibility
Around 6,000 middle and high school students who are U.S. citizens or permanent residents take the F=ma exam each year, though this number varies from year to year. Most people take this exam at their school in February. If your school does not offer this, you will need to get them to do so. There is a 50 dollar fee to register the school and then 10 dollars per student who takes the exam from the school.
Understanding the F=ma Exam Format and Scoring
There are 25 multiple choice questions that assess your knowledge of mechanics, with no questions on electricity, magnetism, or modern physics. You will have 75 minutes to answer these questions. There is no penalty for incorrect answers, so if you don’t know something, make sure to guess. You get one point for every question that was answered correctly.
Qualification scores typically range from 14-17 but they vary as the cutoffs are set so that 400 people make USAPhO. The year-to-year difficulty of the exam thus affects the qualification scores. The median score is usually a little more than half the qualification score. Like competitions such as the AMC, there are two versions of the test, exam A and exam B. They are designed to be similar tests with different questions, but each has a separate qualification score due to variations in difficulty.
Content Coverage
The F=ma exam focuses on mechanics, including kinematics, statics, Newton’s laws, momentum and energy, oscillations, orbital mechanics, fluids, and elementary data analysis. Calculus is not required but it can help with particular problems.
Study Resources for the F=ma Exam
The best way to prepare for the F=ma exam is to take practice exams and study their solutions. Numerous past F=ma exams and solutions are available on the AAPT website.
To build up your algebra-based physics skills, taking AP Physics 1 is a great place to start. Khan Academy’s physics library and Flipping Physics can help you learn the concepts for these classes. The typical questions in AP Physics 1 are much simpler than the ones that are part of the F=ma exam. You will want to keep this in mind and use other resources to supplement your understanding. If you have time/have already studied calculus, it may be a good idea to use resources for calculus-based physics such as Yale’s Fundamentals of Physics course and MIT’s Open Course video lecture series on classical mechanics. I also have some book recommendations below.
- Problems and Solutions in Introductory Mechanics by David Morin. This is the single most-important book for F=ma training. Parts of this book require calculus but if you are able to work through the entire book then you will be very well-prepared for the exam.
- Physics by Halliday, Resnick, and Krane. This is a calculus-based textbook that is very thorough. It has thousands of challenging problems, and is useful if you have worked through Morin’s book and would like to dig deeper. This book carries well into USAPhO prep, which spans a much larger range of topics.
F=ma Exam Problem-Solving Strategies
You should have a set of problem-solving strategies that you are able to employ on the test, developed from hundreds of practice problems. You will need a conceptual understanding of topics, with memorization only having an auxiliary role.
Break down complex problems into smaller steps, identify first principles, and apply appropriate formulas. Diagrams can help with visualizing some problems.
Time Management on the Exam
With 25 questions in 75 minutes, you have about 3 minutes per question, so pacing matters as much as physics. Skim all 25 questions first and answer the ones you are confident about to lock in easy points. If a question is taking more than about 3 minutes, mark it and move on, then return to it if time allows. When you are unsure, eliminate the answers you know are wrong before guessing, since there is no penalty for a wrong answer.
Collaborative Learning
Since this is a school-administered exam, there will be a community of people who are interested if your school offers the test. You can consider forming a group with these people so that you can discuss concepts and solve problems. This will help all of you fill in your knowledge gaps and perform better in the exam.
Review
After the exam, make sure you identify what went well and what did not. This will help your performance in future exams. Many of the qualifiers took the exam multiple times before succeeding. If you are interested, you should start preparing as early as possible, but it’s not too late if you have already been in high school for a few years.
The Day Before and Day Of the Exam
The day before, review your formulas and your notebook of past mistakes, solve a few light problems to stay sharp without overloading yourself, and get a full night’s sleep. On exam day, eat a proper breakfast, arrive early to settle your nerves, and bring everything you need: ID, an approved calculator, pencils, and erasers. Double-check the calculator rules ahead of time so there are no surprises.
Conclusion
The F=ma is a great opportunity to show your knowledge in physics. I hope that you are able to use the resources in this guide to do as well as possible. Make sure to practice diligently and maintain a positive mindset.
If you read this far, you are definitely interested in pursuing STEM activities. I would recommend that you learn about 50+ other competitions through Rishab’s Ultimate STEM Student Guide, which is available to anyone completely for free.
About Eashan Iyer:
I am a founding member of The Qurios Institute (the company that runs this blog) and an incoming student at Brown University. In 2023, I co-authored a research paper in the field of theoretical physics. I am also an Eagle Scout and a senior at The Academy for Mathematics, Science, and Engineering in Rockaway, NJ. Learn more about me on LinkedIn.
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