2021 F = ma Exam — Question 25 — Physics Guide

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F = ma (Final Problems)

Gravitation

FMA-2021-25 · 2021 F = ma (AAPT)

2021 F = ma Exam — Question 25

Spaceman Fred’s trusty pellet sprayer is held at rest a distance h away from the center of Planet Orb, which has radius R h. The pellet sprayer ejects pellets radially outward, uniformly in the plane of the page. These pellets are all launched with the same speed v, so that a pellet launched directly away from Orb by the pellet sprayer can just barely escape it. What fraction of the pellets eventually lands on Orb? (Hint: you may use the small angle approximation, sin θ ≈ θ for θ 1, where θ is in radians.) v h R Left: the pellet sprayer relative to Orb Right: a close-up of the pellet sprayer 1 — Source: Question 25, 2021 F = ma Exam, © 2021 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.