The F=ma exam is the gateway to the U.S. physics olympiad pipeline, and mastering its syllabus is the single most useful thing an ambitious physics student can do this year.
Administered by the American Association of Physics Teachers (AAPT), the F=ma exam is the first qualifying round for the USA Physics Olympiad (USAPhO). It is a 75-minute exam with 25 multiple-choice questions, and every question focuses on classical mechanics. There is no penalty for wrong answers, so students should attempt every question. Below we break down exactly what the F=ma syllabus covers and how the exam fits into the broader olympiad path.
What the F=ma Syllabus Covers
Despite its narrow focus on mechanics, the F=ma syllabus is broad within that domain. According to AAPT, the topics tested include:
- Kinematics — motion in one and two dimensions, projectiles, and relative motion.
- Newton's laws — forces, free-body diagrams, friction, and connected systems.
- Statics — equilibrium of forces and torques.
- Momentum and energy — conservation laws, collisions, work, and power.
- Rotational dynamics — moment of inertia, angular momentum, and rolling.
- Oscillations — simple harmonic motion and springs/pendulums.
- Orbital mechanics — gravitation and Kepler-style orbit problems.
- Fluids — buoyancy, pressure, and basic fluid statics.
- Dimensional analysis and elementary data analysis — reasoning about units and interpreting simple data.
Where Students Lose Points
The difficulty in F=ma rarely comes from a single advanced topic. It comes from combining topics under time pressure: a problem might blend rotational dynamics with energy conservation, or fluids with Newton's laws. Because you have only three minutes per question on average, fluency matters as much as knowledge. The best preparation is working through past official exams (AAPT publishes them) until standard setups become automatic.
Format, Eligibility, and the USAPhO Path
To be eligible, a student must be a U.S. citizen, a U.S. permanent resident, or currently attending a U.S. school, and must be located in the United States to sit the exam. The F=ma exam is normally offered once per academic year in the winter and is registered and proctored through a student's school, with a physics teacher or administrator serving as supervisor. Always confirm current dates, registration deadlines, and any fees on the official AAPT physics team site rather than relying on year-specific numbers, which change.
Here is how the qualification ladder works:
- Students take the F=ma exam. Those who meet or exceed a yearly cutoff advance.
- Roughly the top several hundred scorers are invited to the longer, free-response USAPhO exam.
- Based on combined performance, about 20 students join the U.S. Physics Team training camp.
- Five are ultimately selected to represent the United States at the International Physics Olympiad (IPhO).
You can compare F=ma with other selective contests on our competitions overview, which maps out the major STEM olympiad tracks side by side.
How to Build a Study Plan
A focused F=ma plan has three phases. First, secure the fundamentals across all nine topic areas using a rigorous mechanics text. Second, drill official past papers under strict 75-minute timing to build speed and to expose recurring problem patterns. Third, review every miss and categorize it — conceptual gap, algebra slip, or time mismanagement — so practice stays targeted.
Students who pursue physics olympiads often share the same analytical habits that power research and computational problem solving. If you enjoy turning physical models into solvable systems, our research mentorship program can help you extend that curiosity into original projects that strengthen a STEM profile.
Consistency beats cramming. Twenty focused minutes of timed practice most days will move your F=ma score more than occasional marathon sessions.
Ready to prepare with structure and expert guidance? Explore BIAA's competition programs to find coaching, problem sets, and a roadmap built around the F=ma syllabus and the full olympiad pathway.