2024 F = ma Exam — Question 18 — Physics Guide

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F = ma (Final Problems)

Gravitation

FMA-2024-18 · 2024 F = ma (AAPT)

2024 F = ma Exam — Question 18

A satellite is initially in a circular orbit of radius R around a planet of mass M . It fires its rockets to instantaneously increase its speed by ∆v, keeping the direction of its velocity the same, so that it enters an elliptical orbit whose maximum distance from the planet is 2R. start R 2R end What is the value of ∆v? (Hint: when the satellite is in an elliptical orbit with semimajor axis a, its total energy per unit mass is −GM/2a.) r — Source: Question 18, 2024 F = ma Exam, © 2024 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.

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