2025 F = ma Exam — Question 9 — Physics Guide

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F = ma (First 10)

Dynamics

FMA-2025-09 · 2025 F = ma (AAPT)

2025 F = ma Exam — Question 9

N circles in a plane, Ci , each rotate with frequency ω relative to an inertial frame. The center of C1 is fixed in the inertial frame, and the center of Ci is fixed on Ci−1 (for i = 2, . . . , N ), as shown in the figure. Each circle has radius ri = λri−1 , where 0 < λ < 1. A mass is fixed on CN . The position of the mass relative to the center of C1 is R(t). For the N = 4 case shown, which of the following statements is true? ω ω ω C4 ω C3 C2 C1 During the time interval from 0 to 2π/ω, the magnitude of acceleration of mass on C4 — Source: Question 9, 2025 F = ma Exam, © 2025 American Association of Physics Teachers (AAPT) and the U.S. Physics Team. Adapted by PhysicsTrainer: reformatted into a separate question and answer choices for online multiple-choice practice; any shared setup from nearby questions is repeated here. Not affiliated with or endorsed by AAPT or the U.S. Physics Team.

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F = ma problems are © the American Association of Physics Teachers (AAPT) and the U.S. Physics Team, the original source, and are used with permission. Problems shown here are adaptations: they have been reformatted by Physics Guide into separate question and answer-choice pieces for online multiple-choice practice. Physics Guide is an independent student project and is not affiliated with, endorsed by, operated by, or supported by AAPT, F = ma, USAPhO, or the U.S. Physics Team.

AP Physics 1 and AP Physics C (Mech) problems are adapted from OpenStax College Physics for AP® Courses 2e and University Physics Volume 1, © OpenStax (Rice University), licensed under CC BY 4.0. Problem text is reproduced exactly; correct answers come from the OpenStax answer keys. For written-answer problems, the incorrect answer choices were written by Physics Guide. Physics Guide is not affiliated with or endorsed by OpenStax or the College Board.