2022 F = ma Exam A — Question 9 — Physics Guide

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F = ma (First 10)

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FMA-2022A-09 · 2022A F = ma (AAPT)

2022 F = ma Exam A — Question 9

A person is holding a massless rope, on which hangs a mass m, as shown at left. To pull the end of the rope with constant upward velocity v, the person must exert a force Fv . To pull the end of the rope with constant upward acceleration a, the person must exert a force Fa . Now the rope is wrapped around a fixed, massless pulley, and the mass is doubled to 2m, as shown at right. F F m 2m Compared to the original setup, how do the forces Fv and Fa needed to pull the end of the rope with a given upward velocity and acceleration change? In both cases, ignore friction and air resistance. — Source: Question 9, 2022 F = ma Exam A, © 2022 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.